Script started on 2024-09-02 17:15:46-07:00 [COMMAND="swipl  /home/deb12user/metta-wam/src/canary/metta_interp.pl -- --python=enable --  --html tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta  --stdin=tty --stdout=tty --stderr=tty" TERM="xterm" TTY="/dev/pts/7" COLUMNS="157" LINES="58"]
; passed_test_alarm.
% 62,865 inferences, 0.011 CPU in 0.511 seconds (2% CPU, 5966969 Lips)
;          (is_cmd_option  execute python --python=enable enable)
;           (set_option_value  python enable)
;          (is_cmd_option  execute html --html true)
;           (set_option_value  html true)

; (load_metta_file  &self tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta)
;                     (track_load_into_file  /home/deb12user/metta-wam/tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta)
;                                    (load_answer_file  /home/deb12user/metta-wam/tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta.answers /home/deb12user/metta-wam/tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta)
;                                     (using  /home/deb12user/metta-wam/tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta.buffer~)
;                                     (load_answer_file  /home/deb12user/metta-wam/tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta.answers /home/deb12user/metta-wam/tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta)
;;;time metta tests/baseline_compat/hyperon-mettalog_sanity/time_synthesize.metta
;;;real    0m0.615s
;;;user    0m0.607s
;;;sys     0m0.000s
;;;clear; rm tests/baseline_compat/hyperon-mettalog_sanity/time_synthesize.metta.*l* ; time mettalog tests/baseline_compat/hyperon-mettalog_sanity/time_synthesize.metta
;;;real    1m1.667s
;;;user    1m1.635s
;;;sys     0m0.030s
;;; Import modules
;;; !(nop (bt!))
;;; Define Nat
  (: Nat Type)
  (: Z Nat)
  (: S 
    (-> Nat Nat))
;;; Enumerate all programs up to a given depth that are consistent with
;;; the query
;;;		 using the given axiom non-deterministic functions and rules.
;;;
;;; The arguments are:
;;;
;;; $query: an Atom under the form (: TERM TYPE).  The atom may contain
;;;         free variables within TERM and TYPE to form various sort of
;;;         queries
;;;		 such as:
;;;         1. Backward chaining: (: $term (Inheritance $x Mammal))
;;;         2. Forward chaining: (: ($rule $premise AXIOM) $type)
;;;         3. Mixed chaining: (: ($rule $premise AXIOM) (Inheritance $x Mammal))
;;;         4. Type checking: (: TERM TYPE)
;;;         5. Type inference: (: TERM $type)
;;;
;;; $kb: a nullary function to axiom
;;;		 to non-deterministically pick up
;;;      an axiom.  An axiom is an Atom of the form (: TERM TYPE).
;;;
;;; $rb: a nullary function to rule
;;;		 to non-deterministically pick up a
;;;      rule.  A rule is a function mapping premises to conclusion
;;;		
;;;      where premises and conclusion have the form (: TERM TYPE).
;;;
;;; $depth: a Nat representing the maximum depth of the generated
;;;         programs.
;;;
;;; TODO: recurse over curried rules instead of duplicating code over
;;; tuples.
  (: synthesize 
    (-> $a 
      (-> $kt) 
      (-> $rt) Nat $a))
;;; Nullary rule (axiom)
  (= 
    (synthesize $query $kb $rb $depth) 
    (let $query 
      ($kb) $query))
;;; Unary rule
  (= 
    (synthesize $query $kb $rb 
      (S $k)) 
    (let* 
      ( ( (: $ructor 
            (-> $premise $conclusion)) ($rb)) 
        ( (: 
            ($ructor $proof) $conclusion) $query) 
        ( (: $proof $premise) (synthesize (: $proof $premise) $kb $rb $k))) $query))
;;; Binary rule
  (= 
    (synthesize $query $kb $rb 
      (S $k)) 
    (let* 
      ( ( (: $ructor 
            (-> $premise1 $premise2 $conclusion)) ($rb)) 
        ( (: 
            ($ructor $proof1 $proof2) $conclusion) $query) 
        ( (: $proof1 $premise1) (synthesize (: $proof1 $premise1) $kb $rb $k)) 
        ( (: $proof2 $premise2) (synthesize (: $proof2 $premise2) $kb $rb $k))) $query))
;;; Trinary rule
  (= 
    (synthesize $query $kb $rb 
      (S $k)) 
    (let* 
      ( ( (: $ructor 
            (-> $premise1 $premise2 $premise3 $conclusion)) ($rb)) 
        ( (: 
            ($ructor $proof1 $proof2 $proof3) $conclusion) $query) 
        ( (: $proof1 $premise1) (synthesize (: $proof1 $premise1) $kb $rb $k)) 
        ( (: $proof2 $premise2) (synthesize (: $proof2 $premise2) $kb $rb $k)) 
        ( (: $proof3 $premise3) (synthesize (: $proof3 $premise3) $kb $rb $k))) $query))
;;; Quaternary rule
  (= 
    (synthesize $query $kb $rb 
      (S $k)) 
    (let* 
      ( ( (: $ructor 
            (-> $premise1 $premise2 $premise3 $premise4 $conclusion)) ($rb)) 
        ( (: 
            ($ructor $proof1 $proof2 $proof3 $proof4) $conclusion) $query) 
        ( (: $proof1 $premise1) (synthesize (: $proof1 $premise1) $kb $rb $k)) 
        ( (: $proof2 $premise2) (synthesize (: $proof2 $premise2) $kb $rb $k)) 
        ( (: $proof3 $premise3) (synthesize (: $proof3 $premise3) $kb $rb $k)) 
        ( (: $proof4 $premise4) (synthesize (: $proof4 $premise4) $kb $rb $k))) $query))
;;; Quintenary rule
  (= 
    (synthesize $query $kb $rb 
      (S $k)) 
    (let* 
      ( ( (: $ructor 
            (-> $premise1 $premise2 $premise3 $premise4 $premise5 $conclusion)) ($rb)) 
        ( (: 
            ($ructor $proof1 $proof2 $proof3 $proof4 $proof5) $conclusion) $query) 
        ( (: $proof1 $premise1) (synthesize (: $proof1 $premise1) $kb $rb $k)) 
        ( (: $proof2 $premise2) (synthesize (: $proof2 $premise2) $kb $rb $k)) 
        ( (: $proof3 $premise3) (synthesize (: $proof3 $premise3) $kb $rb $k)) 
        ( (: $proof4 $premise4) (synthesize (: $proof4 $premise4) $kb $rb $k)) 
        ( (: $proof5 $premise5) (synthesize (: $proof5 $premise5) $kb $rb $k))) $query))
  (: kb 
    (-> Atom))
  (= 
    (kb) 
    (: a A))
  (= 
    (kb) 
    (: a B))
  (= 
    (kb) 
    (: abc 
      (Implication 
        (AndLink A B) C)))
  (= 
    (kb) 
    (: cde 
      (Implication 
        (OrLink C D) E)))
  !(assertEqualToResult 
    (kb) 
    ( (: abc 
        (Implication 
          (AndLink A B) C)) 
      (: a A) 
      (: a B) 
      (: cde 
        (Implication 
          (OrLink C D) E))))

[

;

;; SYNTH-BUFFER.TIME-SYNTHESIZE.01

; ; EVAL TEST ; took 0.000749 secs. (748.80 microseconds) !(assertEqualToResult (kb) ( (: abc (Implication (AndLink A B) C)) (: a A) (: a B) (: cde (Implication (OrLink C D) E)))) (loonit_success (equal_enough_for_test ( (: a A) (: a B) (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E))) ( (: abc (Implication (AndLink A B) C)) (: a A) (: a B) (: cde (Implication (OrLink C D) E))))) Deterministic: () ; Execution took 0.003 secs. (3.47 milliseconds) ()] (: rb (-> Atom)) (= (rb) (: ModusPonens (-> (ImplicationLink $p $q) $p $q))) (= (rb) (: Deduction (-> (ImplicationLink $p $q) (ImplicationLink $q $r) (ImplicationLink $p $r)))) (= (rb) (: DisjunctiveSyllogism (-> (OrLink $p $q) (NotLink $p) $q))) (= (rb) (: DisjunctiveSyllogism (-> (OrLink $p $q) (NotLink $q) $p))) (= (rb) (: ConjunctionIntroduction (-> $p $q (AndLink $p $q)))) (= (rb) (: ConjunctionEliminationLeft (-> (AndLink $p $q) $p))) (= (rb) (: ConjunctionEliminationRight (-> (AndLink $p $q) $q))) (= (rb) (: DisjunctionIntroduction (-> $p $q (OrLink $p $q)))) !(assertEqualToResult (synthesize (: $term $type) kb rb (S Z)) ( (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E)) (: a A) (: a B) (: (ConjunctionIntroduction abc abc) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction abc cde) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) A)) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) B)) (: (ConjunctionIntroduction cde abc) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction cde cde) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) A)) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) B)) (: (ConjunctionIntroduction a abc) (AndLink A (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a cde) (AndLink A (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink A A)) (: (ConjunctionIntroduction a a) (AndLink A B)) (: (ConjunctionIntroduction a abc) (AndLink B (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a cde) (AndLink B (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink B A)) (: (ConjunctionIntroduction a a) (AndLink B B)) (: (DisjunctionIntroduction abc abc) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction abc cde) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) A)) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) B)) (: (DisjunctionIntroduction cde abc) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction cde cde) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) A)) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) B)) (: (DisjunctionIntroduction a abc) (OrLink A (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a cde) (OrLink A (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink A A)) (: (DisjunctionIntroduction a a) (OrLink A B)) (: (DisjunctionIntroduction a abc) (OrLink B (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a cde) (OrLink B (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink B A)) (: (DisjunctionIntroduction a a) (OrLink B B)))) [ ;

;; SYNTH-BUFFER.TIME-SYNTHESIZE.02

; ; EVAL TEST ; took 0.069 secs. (69.01 milliseconds) !(assertEqualToResult (synthesize (: $term $type) kb rb (S Z)) ( (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E)) (: a A) (: a B) (: (ConjunctionIntroduction abc abc) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction abc cde) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) A)) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) B)) (: (ConjunctionIntroduction cde abc) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction cde cde) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) A)) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) B)) (: (ConjunctionIntroduction a abc) (AndLink A (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a cde) (AndLink A (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink A A)) (: (ConjunctionIntroduction a a) (AndLink A B)) (: (ConjunctionIntroduction a abc) (AndLink B (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a cde) (AndLink B (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink B A)) (: (ConjunctionIntroduction a a) (AndLink B B)) (: (DisjunctionIntroduction abc abc) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction abc cde) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) A)) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) B)) (: (DisjunctionIntroduction cde abc) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction cde cde) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) A)) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) B)) (: (DisjunctionIntroduction a abc) (OrLink A (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a cde) (OrLink A (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink A A)) (: (DisjunctionIntroduction a a) (OrLink A B)) (: (DisjunctionIntroduction a abc) (OrLink B (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a cde) (OrLink B (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink B A)) (: (DisjunctionIntroduction a a) (OrLink B B)))) (loonit_success (equal_enough_for_test ( (: a A) (: a B) (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E)) (: (ConjunctionIntroduction a a) (AndLink A A)) (: (ConjunctionIntroduction a a) (AndLink A B)) (: (ConjunctionIntroduction a abc) (AndLink A (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a cde) (AndLink A (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink B A)) (: (ConjunctionIntroduction a a) (AndLink B B)) (: (ConjunctionIntroduction a abc) (AndLink B (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a cde) (AndLink B (Implication (OrLink C D) E))) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) A)) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) B)) (: (ConjunctionIntroduction abc abc) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction abc cde) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) A)) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) B)) (: (ConjunctionIntroduction cde abc) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction cde cde) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink A A)) (: (DisjunctionIntroduction a a) (OrLink A B)) (: (DisjunctionIntroduction a abc) (OrLink A (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a cde) (OrLink A (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink B A)) (: (DisjunctionIntroduction a a) (OrLink B B)) (: (DisjunctionIntroduction a abc) (OrLink B (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a cde) (OrLink B (Implication (OrLink C D) E))) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) A)) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) B)) (: (DisjunctionIntroduction abc abc) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction abc cde) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) A)) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) B)) (: (DisjunctionIntroduction cde abc) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction cde cde) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) ( (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E)) (: a A) (: a B) (: (ConjunctionIntroduction abc abc) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction abc cde) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) A)) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) B)) (: (ConjunctionIntroduction cde abc) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction cde cde) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) A)) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) B)) (: (ConjunctionIntroduction a abc) (AndLink A (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a cde) (AndLink A (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink A A)) (: (ConjunctionIntroduction a a) (AndLink A B)) (: (ConjunctionIntroduction a abc) (AndLink B (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a cde) (AndLink B (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink B A)) (: (ConjunctionIntroduction a a) (AndLink B B)) (: (DisjunctionIntroduction abc abc) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction abc cde) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) A)) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) B)) (: (DisjunctionIntroduction cde abc) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction cde cde) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) A)) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) B)) (: (DisjunctionIntroduction a abc) (OrLink A (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a cde) (OrLink A (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink A A)) (: (DisjunctionIntroduction a a) (OrLink A B)) (: (DisjunctionIntroduction a abc) (OrLink B (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a cde) (OrLink B (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink B A)) (: (DisjunctionIntroduction a a) (OrLink B B))))) Deterministic: () ; Execution took 0.104 secs. (104.42 milliseconds) ()] !(assertEqualToResult (synthesize (: $term $type) kb rb Z) ( (: a A) (: a B) (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E)))) [ ;

;; SYNTH-BUFFER.TIME-SYNTHESIZE.03

; ; EVAL TEST ; took 0.002 secs. (1.66 milliseconds) !(assertEqualToResult (synthesize (: $term $type) kb rb Z) ( (: a A) (: a B) (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E)))) (loonit_success (equal_enough_for_test ( (: a A) (: a B) (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E))) ( (: a A) (: a B) (: abc (Implication (AndLink A B) C)) (: cde (Implication (OrLink C D) E))))) Deterministic: () ; Execution took 0.005 secs. (4.64 milliseconds) ()] ;;; Here to inspire mettalogs large file loading !(nop (quote (assertEqualToResult (synthesize (: $term $type) kb rb (S (S Z))) ((: abc (Implication (AndLink A B) C)) (: a B) (: cde (Implication (OrLink C D) E)) (: a A) (: (DisjunctionIntroduction abc abc) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) B)) (: (DisjunctionIntroduction abc cde) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction abc a) (OrLink (Implication (AndLink A B) C) A)) (: (DisjunctionIntroduction abc (DisjunctionIntroduction abc abc)) (OrLink (Implication (AndLink A B) C) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction abc a)) (OrLink (Implication (AndLink A B) C) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction abc cde)) (OrLink (Implication (AndLink A B) C) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction abc a)) (OrLink (Implication (AndLink A B) C) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction a abc)) (OrLink (Implication (AndLink A B) C) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction a a)) (OrLink (Implication (AndLink A B) C) (OrLink B B))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction a cde)) (OrLink (Implication (AndLink A B) C) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction a a)) (OrLink (Implication (AndLink A B) C) (OrLink B A))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction cde abc)) (OrLink (Implication (AndLink A B) C) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction cde a)) (OrLink (Implication (AndLink A B) C) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction cde cde)) (OrLink (Implication (AndLink A B) C) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction cde a)) (OrLink (Implication (AndLink A B) C) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction a abc)) (OrLink (Implication (AndLink A B) C) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction a a)) (OrLink (Implication (AndLink A B) C) (OrLink A B))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction a cde)) (OrLink (Implication (AndLink A B) C) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction abc (DisjunctionIntroduction a a)) (OrLink (Implication (AndLink A B) C) (OrLink A A))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction abc abc)) (OrLink (Implication (AndLink A B) C) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction abc a)) (OrLink (Implication (AndLink A B) C) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction abc cde)) (OrLink (Implication (AndLink A B) C) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction abc a)) (OrLink (Implication (AndLink A B) C) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction a abc)) (OrLink (Implication (AndLink A B) C) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction a a)) (OrLink (Implication (AndLink A B) C) (AndLink B B))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction a cde)) (OrLink (Implication (AndLink A B) C) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction a a)) (OrLink (Implication (AndLink A B) C) (AndLink B A))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction cde abc)) (OrLink (Implication (AndLink A B) C) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction cde a)) (OrLink (Implication (AndLink A B) C) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction cde cde)) (OrLink (Implication (AndLink A B) C) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction cde a)) (OrLink (Implication (AndLink A B) C) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction a abc)) (OrLink (Implication (AndLink A B) C) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction a a)) (OrLink (Implication (AndLink A B) C) (AndLink A B))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction a cde)) (OrLink (Implication (AndLink A B) C) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction abc (ConjunctionIntroduction a a)) (OrLink (Implication (AndLink A B) C) (AndLink A A))) (: (DisjunctionIntroduction a abc) (OrLink B (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a a) (OrLink B B)) (: (DisjunctionIntroduction a cde) (OrLink B (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink B A)) (: (DisjunctionIntroduction a (DisjunctionIntroduction abc abc)) (OrLink B (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction abc a)) (OrLink B (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction a (DisjunctionIntroduction abc cde)) (OrLink B (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction abc a)) (OrLink B (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a abc)) (OrLink B (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a a)) (OrLink B (OrLink B B))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a cde)) (OrLink B (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a a)) (OrLink B (OrLink B A))) (: (DisjunctionIntroduction a (DisjunctionIntroduction cde abc)) (OrLink B (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction cde a)) (OrLink B (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction a (DisjunctionIntroduction cde cde)) (OrLink B (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction cde a)) (OrLink B (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a abc)) (OrLink B (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a a)) (OrLink B (OrLink A B))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a cde)) (OrLink B (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a a)) (OrLink B (OrLink A A))) (: (DisjunctionIntroduction a (ConjunctionIntroduction abc abc)) (OrLink B (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction abc a)) (OrLink B (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction a (ConjunctionIntroduction abc cde)) (OrLink B (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction abc a)) (OrLink B (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a abc)) (OrLink B (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a a)) (OrLink B (AndLink B B))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a cde)) (OrLink B (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a a)) (OrLink B (AndLink B A))) (: (DisjunctionIntroduction a (ConjunctionIntroduction cde abc)) (OrLink B (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction cde a)) (OrLink B (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction a (ConjunctionIntroduction cde cde)) (OrLink B (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction cde a)) (OrLink B (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a abc)) (OrLink B (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a a)) (OrLink B (AndLink A B))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a cde)) (OrLink B (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a a)) (OrLink B (AndLink A A))) (: (DisjunctionIntroduction cde abc) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) B)) (: (DisjunctionIntroduction cde cde) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction cde a) (OrLink (Implication (OrLink C D) E) A)) (: (DisjunctionIntroduction cde (DisjunctionIntroduction abc abc)) (OrLink (Implication (OrLink C D) E) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction abc a)) (OrLink (Implication (OrLink C D) E) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction abc cde)) (OrLink (Implication (OrLink C D) E) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction abc a)) (OrLink (Implication (OrLink C D) E) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction a abc)) (OrLink (Implication (OrLink C D) E) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction a a)) (OrLink (Implication (OrLink C D) E) (OrLink B B))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction a cde)) (OrLink (Implication (OrLink C D) E) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction a a)) (OrLink (Implication (OrLink C D) E) (OrLink B A))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction cde abc)) (OrLink (Implication (OrLink C D) E) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction cde a)) (OrLink (Implication (OrLink C D) E) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction cde cde)) (OrLink (Implication (OrLink C D) E) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction cde a)) (OrLink (Implication (OrLink C D) E) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction a abc)) (OrLink (Implication (OrLink C D) E) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction a a)) (OrLink (Implication (OrLink C D) E) (OrLink A B))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction a cde)) (OrLink (Implication (OrLink C D) E) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction cde (DisjunctionIntroduction a a)) (OrLink (Implication (OrLink C D) E) (OrLink A A))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction abc abc)) (OrLink (Implication (OrLink C D) E) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction abc a)) (OrLink (Implication (OrLink C D) E) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction abc cde)) (OrLink (Implication (OrLink C D) E) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction abc a)) (OrLink (Implication (OrLink C D) E) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction a abc)) (OrLink (Implication (OrLink C D) E) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction a a)) (OrLink (Implication (OrLink C D) E) (AndLink B B))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction a cde)) (OrLink (Implication (OrLink C D) E) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction a a)) (OrLink (Implication (OrLink C D) E) (AndLink B A))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction cde abc)) (OrLink (Implication (OrLink C D) E) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction cde a)) (OrLink (Implication (OrLink C D) E) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction cde cde)) (OrLink (Implication (OrLink C D) E) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction cde a)) (OrLink (Implication (OrLink C D) E) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction a abc)) (OrLink (Implication (OrLink C D) E) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction a a)) (OrLink (Implication (OrLink C D) E) (AndLink A B))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction a cde)) (OrLink (Implication (OrLink C D) E) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction cde (ConjunctionIntroduction a a)) (OrLink (Implication (OrLink C D) E) (AndLink A A))) (: (DisjunctionIntroduction a abc) (OrLink A (Implication (AndLink A B) C))) (: (DisjunctionIntroduction a a) (OrLink A B)) (: (DisjunctionIntroduction a cde) (OrLink A (Implication (OrLink C D) E))) (: (DisjunctionIntroduction a a) (OrLink A A)) (: (DisjunctionIntroduction a (DisjunctionIntroduction abc abc)) (OrLink A (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction abc a)) (OrLink A (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction a (DisjunctionIntroduction abc cde)) (OrLink A (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction abc a)) (OrLink A (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a abc)) (OrLink A (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a a)) (OrLink A (OrLink B B))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a cde)) (OrLink A (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a a)) (OrLink A (OrLink B A))) (: (DisjunctionIntroduction a (DisjunctionIntroduction cde abc)) (OrLink A (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction cde a)) (OrLink A (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction a (DisjunctionIntroduction cde cde)) (OrLink A (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction cde a)) (OrLink A (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a abc)) (OrLink A (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a a)) (OrLink A (OrLink A B))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a cde)) (OrLink A (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (DisjunctionIntroduction a a)) (OrLink A (OrLink A A))) (: (DisjunctionIntroduction a (ConjunctionIntroduction abc abc)) (OrLink A (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction abc a)) (OrLink A (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction a (ConjunctionIntroduction abc cde)) (OrLink A (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction abc a)) (OrLink A (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a abc)) (OrLink A (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a a)) (OrLink A (AndLink B B))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a cde)) (OrLink A (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a a)) (OrLink A (AndLink B A))) (: (DisjunctionIntroduction a (ConjunctionIntroduction cde abc)) (OrLink A (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction cde a)) (OrLink A (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction a (ConjunctionIntroduction cde cde)) (OrLink A (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction cde a)) (OrLink A (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a abc)) (OrLink A (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a a)) (OrLink A (AndLink A B))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a cde)) (OrLink A (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction a (ConjunctionIntroduction a a)) (OrLink A (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) abc) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) a) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) cde) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) a) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) abc) (OrLink (OrLink (Implication (AndLink A B) C) B) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) a) (OrLink (OrLink (Implication (AndLink A B) C) B) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) cde) (OrLink (OrLink (Implication (AndLink A B) C) B) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) a) (OrLink (OrLink (Implication (AndLink A B) C) B) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) B) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) abc) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) a) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) cde) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) a) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) abc) (OrLink (OrLink (Implication (AndLink A B) C) A) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) a) (OrLink (OrLink (Implication (AndLink A B) C) A) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) cde) (OrLink (OrLink (Implication (AndLink A B) C) A) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) a) (OrLink (OrLink (Implication (AndLink A B) C) A) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (AndLink A B) C) A) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) abc) (OrLink (OrLink B (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) a) (OrLink (OrLink B (Implication (AndLink A B) C)) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) cde) (OrLink (OrLink B (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) a) (OrLink (OrLink B (Implication (AndLink A B) C)) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc abc)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc cde)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde abc)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde cde)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc abc)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc cde)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde abc)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde cde)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (OrLink B (Implication (AndLink A B) C)) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) abc) (OrLink (OrLink B B) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) a) (OrLink (OrLink B B) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) cde) (OrLink (OrLink B B) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) a) (OrLink (OrLink B B) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (OrLink (OrLink B B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (OrLink B B) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (OrLink (OrLink B B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (OrLink B B) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (OrLink B B) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink B B) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (OrLink B B) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink B B) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (OrLink (OrLink B B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (OrLink B B) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (OrLink (OrLink B B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (OrLink B B) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (OrLink B B) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink B B) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (OrLink B B) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink B B) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (OrLink (OrLink B B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (OrLink B B) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (OrLink (OrLink B B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (OrLink B B) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (OrLink B B) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink B B) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (OrLink B B) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink B B) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (OrLink (OrLink B B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (OrLink B B) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (OrLink (OrLink B B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (OrLink B B) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (OrLink B B) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink B B) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (OrLink B B) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink B B) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) abc) (OrLink (OrLink B (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) a) (OrLink (OrLink B (Implication (OrLink C D) E)) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) cde) (OrLink (OrLink B (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) a) (OrLink (OrLink B (Implication (OrLink C D) E)) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc abc)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc cde)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde abc)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde cde)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc abc)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc cde)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde abc)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde cde)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (OrLink B (Implication (OrLink C D) E)) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) abc) (OrLink (OrLink B A) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) a) (OrLink (OrLink B A) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) cde) (OrLink (OrLink B A) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) a) (OrLink (OrLink B A) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (OrLink (OrLink B A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (OrLink B A) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (OrLink (OrLink B A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (OrLink B A) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (OrLink B A) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink B A) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (OrLink B A) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink B A) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (OrLink (OrLink B A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (OrLink B A) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (OrLink (OrLink B A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (OrLink B A) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (OrLink B A) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink B A) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (OrLink B A) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink B A) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (OrLink (OrLink B A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (OrLink B A) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (OrLink (OrLink B A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (OrLink B A) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (OrLink B A) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink B A) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (OrLink B A) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink B A) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (OrLink (OrLink B A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (OrLink B A) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (OrLink (OrLink B A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (OrLink B A) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (OrLink B A) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink B A) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (OrLink B A) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink B A) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) abc) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) a) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) cde) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) a) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) abc) (OrLink (OrLink (Implication (OrLink C D) E) B) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) a) (OrLink (OrLink (Implication (OrLink C D) E) B) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) cde) (OrLink (OrLink (Implication (OrLink C D) E) B) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) a) (OrLink (OrLink (Implication (OrLink C D) E) B) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) B) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) abc) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) a) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) cde) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) a) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) abc) (OrLink (OrLink (Implication (OrLink C D) E) A) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) a) (OrLink (OrLink (Implication (OrLink C D) E) A) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) cde) (OrLink (OrLink (Implication (OrLink C D) E) A) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) a) (OrLink (OrLink (Implication (OrLink C D) E) A) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc abc)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc cde)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde abc)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde cde)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (OrLink (Implication (OrLink C D) E) A) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) abc) (OrLink (OrLink A (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) a) (OrLink (OrLink A (Implication (AndLink A B) C)) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) cde) (OrLink (OrLink A (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) a) (OrLink (OrLink A (Implication (AndLink A B) C)) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc abc)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc cde)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde abc)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde cde)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc abc)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc cde)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde abc)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde cde)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (OrLink A (Implication (AndLink A B) C)) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) abc) (OrLink (OrLink A B) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) a) (OrLink (OrLink A B) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) cde) (OrLink (OrLink A B) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) a) (OrLink (OrLink A B) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (OrLink (OrLink A B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (OrLink A B) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (OrLink (OrLink A B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (OrLink A B) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (OrLink A B) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink A B) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (OrLink A B) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink A B) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (OrLink (OrLink A B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (OrLink A B) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (OrLink (OrLink A B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (OrLink A B) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (OrLink A B) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink A B) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (OrLink A B) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink A B) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (OrLink (OrLink A B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (OrLink A B) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (OrLink (OrLink A B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (OrLink A B) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (OrLink A B) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink A B) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (OrLink A B) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink A B) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (OrLink (OrLink A B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (OrLink A B) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (OrLink (OrLink A B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (OrLink A B) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (OrLink A B) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink A B) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (OrLink A B) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink A B) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) abc) (OrLink (OrLink A (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) a) (OrLink (OrLink A (Implication (OrLink C D) E)) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) cde) (OrLink (OrLink A (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) a) (OrLink (OrLink A (Implication (OrLink C D) E)) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc abc)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc cde)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde abc)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde cde)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc abc)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc cde)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde abc)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde cde)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (OrLink A (Implication (OrLink C D) E)) (AndLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) abc) (OrLink (OrLink A A) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) a) (OrLink (OrLink A A) B)) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) cde) (OrLink (OrLink A A) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) a) (OrLink (OrLink A A) A)) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (OrLink (OrLink A A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (OrLink A A) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (OrLink (OrLink A A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (OrLink A A) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (OrLink A A) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink A A) (OrLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (OrLink A A) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink A A) (OrLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (OrLink (OrLink A A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (OrLink A A) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (OrLink (OrLink A A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (OrLink A A) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (OrLink A A) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink A A) (OrLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (OrLink A A) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (OrLink A A) (OrLink A A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (OrLink (OrLink A A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (OrLink A A) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (OrLink (OrLink A A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (OrLink A A) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (OrLink A A) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink A A) (AndLink B B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (OrLink A A) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink A A) (AndLink B A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (OrLink (OrLink A A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (OrLink A A) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (OrLink (OrLink A A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (OrLink A A) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (OrLink A A) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink A A) (AndLink A B))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (OrLink A A) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (OrLink A A) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) abc) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) a) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) cde) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) a) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) abc) (OrLink (AndLink (Implication (AndLink A B) C) B) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) a) (OrLink (AndLink (Implication (AndLink A B) C) B) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) cde) (OrLink (AndLink (Implication (AndLink A B) C) B) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) a) (OrLink (AndLink (Implication (AndLink A B) C) B) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) B) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) abc) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) a) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) cde) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) a) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) abc) (OrLink (AndLink (Implication (AndLink A B) C) A) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) a) (OrLink (AndLink (Implication (AndLink A B) C) A) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) cde) (OrLink (AndLink (Implication (AndLink A B) C) A) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) a) (OrLink (AndLink (Implication (AndLink A B) C) A) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (AndLink A B) C) A) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) abc) (OrLink (AndLink B (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) a) (OrLink (AndLink B (Implication (AndLink A B) C)) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) cde) (OrLink (AndLink B (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) a) (OrLink (AndLink B (Implication (AndLink A B) C)) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc abc)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc cde)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde abc)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde cde)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc abc)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc cde)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde abc)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde cde)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (AndLink B (Implication (AndLink A B) C)) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) abc) (OrLink (AndLink B B) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) a) (OrLink (AndLink B B) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) cde) (OrLink (AndLink B B) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) a) (OrLink (AndLink B B) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (OrLink (AndLink B B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (AndLink B B) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (OrLink (AndLink B B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (AndLink B B) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (AndLink B B) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink B B) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (AndLink B B) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink B B) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (OrLink (AndLink B B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (AndLink B B) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (OrLink (AndLink B B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (AndLink B B) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (AndLink B B) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink B B) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (AndLink B B) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink B B) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (OrLink (AndLink B B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (AndLink B B) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (OrLink (AndLink B B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (AndLink B B) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (AndLink B B) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink B B) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (AndLink B B) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink B B) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (OrLink (AndLink B B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (AndLink B B) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (OrLink (AndLink B B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (AndLink B B) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (AndLink B B) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink B B) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (AndLink B B) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink B B) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) abc) (OrLink (AndLink B (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) a) (OrLink (AndLink B (Implication (OrLink C D) E)) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) cde) (OrLink (AndLink B (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) a) (OrLink (AndLink B (Implication (OrLink C D) E)) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc abc)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc cde)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde abc)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde cde)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc abc)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc cde)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde abc)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde cde)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (AndLink B (Implication (OrLink C D) E)) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) abc) (OrLink (AndLink B A) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) a) (OrLink (AndLink B A) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) cde) (OrLink (AndLink B A) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) a) (OrLink (AndLink B A) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (OrLink (AndLink B A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (AndLink B A) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (OrLink (AndLink B A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (AndLink B A) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (AndLink B A) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink B A) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (AndLink B A) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink B A) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (OrLink (AndLink B A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (AndLink B A) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (OrLink (AndLink B A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (AndLink B A) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (AndLink B A) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink B A) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (AndLink B A) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink B A) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (OrLink (AndLink B A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (AndLink B A) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (OrLink (AndLink B A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (AndLink B A) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (AndLink B A) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink B A) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (AndLink B A) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink B A) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (OrLink (AndLink B A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (AndLink B A) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (OrLink (AndLink B A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (AndLink B A) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (AndLink B A) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink B A) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (AndLink B A) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink B A) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) abc) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) a) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) cde) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) a) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) abc) (OrLink (AndLink (Implication (OrLink C D) E) B) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) a) (OrLink (AndLink (Implication (OrLink C D) E) B) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) cde) (OrLink (AndLink (Implication (OrLink C D) E) B) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) a) (OrLink (AndLink (Implication (OrLink C D) E) B) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) B) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) abc) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) a) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) cde) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) a) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) abc) (OrLink (AndLink (Implication (OrLink C D) E) A) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) a) (OrLink (AndLink (Implication (OrLink C D) E) A) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) cde) (OrLink (AndLink (Implication (OrLink C D) E) A) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) a) (OrLink (AndLink (Implication (OrLink C D) E) A) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc abc)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc cde)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde abc)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde cde)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (OrLink (AndLink (Implication (OrLink C D) E) A) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) abc) (OrLink (AndLink A (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) a) (OrLink (AndLink A (Implication (AndLink A B) C)) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) cde) (OrLink (AndLink A (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) a) (OrLink (AndLink A (Implication (AndLink A B) C)) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc abc)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc cde)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde abc)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde cde)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc abc)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc cde)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde abc)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde cde)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (OrLink (AndLink A (Implication (AndLink A B) C)) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) abc) (OrLink (AndLink A B) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) a) (OrLink (AndLink A B) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) cde) (OrLink (AndLink A B) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) a) (OrLink (AndLink A B) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (OrLink (AndLink A B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (AndLink A B) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (OrLink (AndLink A B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (AndLink A B) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (AndLink A B) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink A B) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (AndLink A B) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink A B) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (OrLink (AndLink A B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (AndLink A B) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (OrLink (AndLink A B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (AndLink A B) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (AndLink A B) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink A B) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (AndLink A B) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink A B) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (OrLink (AndLink A B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (AndLink A B) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (OrLink (AndLink A B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (AndLink A B) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (AndLink A B) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink A B) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (AndLink A B) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink A B) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (OrLink (AndLink A B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (AndLink A B) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (OrLink (AndLink A B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (AndLink A B) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (AndLink A B) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink A B) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (AndLink A B) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink A B) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) abc) (OrLink (AndLink A (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) a) (OrLink (AndLink A (Implication (OrLink C D) E)) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) cde) (OrLink (AndLink A (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) a) (OrLink (AndLink A (Implication (OrLink C D) E)) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc abc)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc cde)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde abc)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde cde)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc abc)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc cde)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde abc)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde cde)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (OrLink (AndLink A (Implication (OrLink C D) E)) (AndLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) abc) (OrLink (AndLink A A) (Implication (AndLink A B) C))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) a) (OrLink (AndLink A A) B)) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) cde) (OrLink (AndLink A A) (Implication (OrLink C D) E))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) a) (OrLink (AndLink A A) A)) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (OrLink (AndLink A A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (AndLink A A) (OrLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (OrLink (AndLink A A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (OrLink (AndLink A A) (OrLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (AndLink A A) (OrLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink A A) (OrLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (AndLink A A) (OrLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink A A) (OrLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (OrLink (AndLink A A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (AndLink A A) (OrLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (OrLink (AndLink A A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (OrLink (AndLink A A) (OrLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (OrLink (AndLink A A) (OrLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink A A) (OrLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (OrLink (AndLink A A) (OrLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (OrLink (AndLink A A) (OrLink A A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (OrLink (AndLink A A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (AndLink A A) (AndLink (Implication (AndLink A B) C) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (OrLink (AndLink A A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (OrLink (AndLink A A) (AndLink (Implication (AndLink A B) C) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (AndLink A A) (AndLink B (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink A A) (AndLink B B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (AndLink A A) (AndLink B (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink A A) (AndLink B A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (OrLink (AndLink A A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (AndLink A A) (AndLink (Implication (OrLink C D) E) B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (OrLink (AndLink A A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (OrLink (AndLink A A) (AndLink (Implication (OrLink C D) E) A))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (OrLink (AndLink A A) (AndLink A (Implication (AndLink A B) C)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink A A) (AndLink A B))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (OrLink (AndLink A A) (AndLink A (Implication (OrLink C D) E)))) (: (DisjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (OrLink (AndLink A A) (AndLink A A))) (: (ConjunctionIntroduction abc abc) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) B)) (: (ConjunctionIntroduction abc cde) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction abc a) (AndLink (Implication (AndLink A B) C) A)) (: (ConjunctionIntroduction abc (DisjunctionIntroduction abc abc)) (AndLink (Implication (AndLink A B) C) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction abc a)) (AndLink (Implication (AndLink A B) C) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction abc cde)) (AndLink (Implication (AndLink A B) C) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction abc a)) (AndLink (Implication (AndLink A B) C) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction a abc)) (AndLink (Implication (AndLink A B) C) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction a a)) (AndLink (Implication (AndLink A B) C) (OrLink B B))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction a cde)) (AndLink (Implication (AndLink A B) C) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction a a)) (AndLink (Implication (AndLink A B) C) (OrLink B A))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction cde abc)) (AndLink (Implication (AndLink A B) C) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction cde a)) (AndLink (Implication (AndLink A B) C) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction cde cde)) (AndLink (Implication (AndLink A B) C) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction cde a)) (AndLink (Implication (AndLink A B) C) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction a abc)) (AndLink (Implication (AndLink A B) C) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction a a)) (AndLink (Implication (AndLink A B) C) (OrLink A B))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction a cde)) (AndLink (Implication (AndLink A B) C) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction abc (DisjunctionIntroduction a a)) (AndLink (Implication (AndLink A B) C) (OrLink A A))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction abc abc)) (AndLink (Implication (AndLink A B) C) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction abc a)) (AndLink (Implication (AndLink A B) C) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction abc cde)) (AndLink (Implication (AndLink A B) C) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction abc a)) (AndLink (Implication (AndLink A B) C) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction a abc)) (AndLink (Implication (AndLink A B) C) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction a a)) (AndLink (Implication (AndLink A B) C) (AndLink B B))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction a cde)) (AndLink (Implication (AndLink A B) C) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction a a)) (AndLink (Implication (AndLink A B) C) (AndLink B A))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction cde abc)) (AndLink (Implication (AndLink A B) C) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction cde a)) (AndLink (Implication (AndLink A B) C) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction cde cde)) (AndLink (Implication (AndLink A B) C) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction cde a)) (AndLink (Implication (AndLink A B) C) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction a abc)) (AndLink (Implication (AndLink A B) C) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction a a)) (AndLink (Implication (AndLink A B) C) (AndLink A B))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction a cde)) (AndLink (Implication (AndLink A B) C) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction abc (ConjunctionIntroduction a a)) (AndLink (Implication (AndLink A B) C) (AndLink A A))) (: (ConjunctionIntroduction a abc) (AndLink B (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a a) (AndLink B B)) (: (ConjunctionIntroduction a cde) (AndLink B (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink B A)) (: (ConjunctionIntroduction a (DisjunctionIntroduction abc abc)) (AndLink B (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction abc a)) (AndLink B (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction a (DisjunctionIntroduction abc cde)) (AndLink B (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction abc a)) (AndLink B (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a abc)) (AndLink B (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a a)) (AndLink B (OrLink B B))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a cde)) (AndLink B (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a a)) (AndLink B (OrLink B A))) (: (ConjunctionIntroduction a (DisjunctionIntroduction cde abc)) (AndLink B (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction cde a)) (AndLink B (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction a (DisjunctionIntroduction cde cde)) (AndLink B (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction cde a)) (AndLink B (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a abc)) (AndLink B (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a a)) (AndLink B (OrLink A B))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a cde)) (AndLink B (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a a)) (AndLink B (OrLink A A))) (: (ConjunctionIntroduction a (ConjunctionIntroduction abc abc)) (AndLink B (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction abc a)) (AndLink B (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction a (ConjunctionIntroduction abc cde)) (AndLink B (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction abc a)) (AndLink B (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a abc)) (AndLink B (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a a)) (AndLink B (AndLink B B))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a cde)) (AndLink B (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a a)) (AndLink B (AndLink B A))) (: (ConjunctionIntroduction a (ConjunctionIntroduction cde abc)) (AndLink B (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction cde a)) (AndLink B (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction a (ConjunctionIntroduction cde cde)) (AndLink B (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction cde a)) (AndLink B (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a abc)) (AndLink B (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a a)) (AndLink B (AndLink A B))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a cde)) (AndLink B (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a a)) (AndLink B (AndLink A A))) (: (ConjunctionIntroduction cde abc) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) B)) (: (ConjunctionIntroduction cde cde) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction cde a) (AndLink (Implication (OrLink C D) E) A)) (: (ConjunctionIntroduction cde (DisjunctionIntroduction abc abc)) (AndLink (Implication (OrLink C D) E) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction abc a)) (AndLink (Implication (OrLink C D) E) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction abc cde)) (AndLink (Implication (OrLink C D) E) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction abc a)) (AndLink (Implication (OrLink C D) E) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction a abc)) (AndLink (Implication (OrLink C D) E) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction a a)) (AndLink (Implication (OrLink C D) E) (OrLink B B))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction a cde)) (AndLink (Implication (OrLink C D) E) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction a a)) (AndLink (Implication (OrLink C D) E) (OrLink B A))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction cde abc)) (AndLink (Implication (OrLink C D) E) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction cde a)) (AndLink (Implication (OrLink C D) E) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction cde cde)) (AndLink (Implication (OrLink C D) E) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction cde a)) (AndLink (Implication (OrLink C D) E) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction a abc)) (AndLink (Implication (OrLink C D) E) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction a a)) (AndLink (Implication (OrLink C D) E) (OrLink A B))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction a cde)) (AndLink (Implication (OrLink C D) E) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction cde (DisjunctionIntroduction a a)) (AndLink (Implication (OrLink C D) E) (OrLink A A))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction abc abc)) (AndLink (Implication (OrLink C D) E) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction abc a)) (AndLink (Implication (OrLink C D) E) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction abc cde)) (AndLink (Implication (OrLink C D) E) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction abc a)) (AndLink (Implication (OrLink C D) E) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction a abc)) (AndLink (Implication (OrLink C D) E) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction a a)) (AndLink (Implication (OrLink C D) E) (AndLink B B))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction a cde)) (AndLink (Implication (OrLink C D) E) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction a a)) (AndLink (Implication (OrLink C D) E) (AndLink B A))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction cde abc)) (AndLink (Implication (OrLink C D) E) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction cde a)) (AndLink (Implication (OrLink C D) E) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction cde cde)) (AndLink (Implication (OrLink C D) E) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction cde a)) (AndLink (Implication (OrLink C D) E) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction a abc)) (AndLink (Implication (OrLink C D) E) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction a a)) (AndLink (Implication (OrLink C D) E) (AndLink A B))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction a cde)) (AndLink (Implication (OrLink C D) E) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction cde (ConjunctionIntroduction a a)) (AndLink (Implication (OrLink C D) E) (AndLink A A))) (: (ConjunctionIntroduction a abc) (AndLink A (Implication (AndLink A B) C))) (: (ConjunctionIntroduction a a) (AndLink A B)) (: (ConjunctionIntroduction a cde) (AndLink A (Implication (OrLink C D) E))) (: (ConjunctionIntroduction a a) (AndLink A A)) (: (ConjunctionIntroduction a (DisjunctionIntroduction abc abc)) (AndLink A (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction abc a)) (AndLink A (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction a (DisjunctionIntroduction abc cde)) (AndLink A (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction abc a)) (AndLink A (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a abc)) (AndLink A (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a a)) (AndLink A (OrLink B B))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a cde)) (AndLink A (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a a)) (AndLink A (OrLink B A))) (: (ConjunctionIntroduction a (DisjunctionIntroduction cde abc)) (AndLink A (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction cde a)) (AndLink A (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction a (DisjunctionIntroduction cde cde)) (AndLink A (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction cde a)) (AndLink A (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a abc)) (AndLink A (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a a)) (AndLink A (OrLink A B))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a cde)) (AndLink A (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (DisjunctionIntroduction a a)) (AndLink A (OrLink A A))) (: (ConjunctionIntroduction a (ConjunctionIntroduction abc abc)) (AndLink A (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction abc a)) (AndLink A (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction a (ConjunctionIntroduction abc cde)) (AndLink A (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction abc a)) (AndLink A (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a abc)) (AndLink A (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a a)) (AndLink A (AndLink B B))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a cde)) (AndLink A (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a a)) (AndLink A (AndLink B A))) (: (ConjunctionIntroduction a (ConjunctionIntroduction cde abc)) (AndLink A (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction cde a)) (AndLink A (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction a (ConjunctionIntroduction cde cde)) (AndLink A (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction cde a)) (AndLink A (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a abc)) (AndLink A (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a a)) (AndLink A (AndLink A B))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a cde)) (AndLink A (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction a (ConjunctionIntroduction a a)) (AndLink A (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) abc) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) a) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) cde) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) a) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) abc) (AndLink (OrLink (Implication (AndLink A B) C) B) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) a) (AndLink (OrLink (Implication (AndLink A B) C) B) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) cde) (AndLink (OrLink (Implication (AndLink A B) C) B) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) a) (AndLink (OrLink (Implication (AndLink A B) C) B) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) B) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) abc) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) a) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) cde) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) a) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) abc) (AndLink (OrLink (Implication (AndLink A B) C) A) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) a) (AndLink (OrLink (Implication (AndLink A B) C) A) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) cde) (AndLink (OrLink (Implication (AndLink A B) C) A) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) a) (AndLink (OrLink (Implication (AndLink A B) C) A) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (AndLink A B) C) A) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) abc) (AndLink (OrLink B (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) a) (AndLink (OrLink B (Implication (AndLink A B) C)) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) cde) (AndLink (OrLink B (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) a) (AndLink (OrLink B (Implication (AndLink A B) C)) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc abc)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc cde)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde abc)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde cde)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc abc)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc cde)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde abc)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde cde)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (OrLink B (Implication (AndLink A B) C)) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) abc) (AndLink (OrLink B B) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) a) (AndLink (OrLink B B) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) cde) (AndLink (OrLink B B) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) a) (AndLink (OrLink B B) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (AndLink (OrLink B B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (OrLink B B) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (AndLink (OrLink B B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (OrLink B B) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (OrLink B B) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink B B) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (OrLink B B) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink B B) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (AndLink (OrLink B B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (OrLink B B) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (AndLink (OrLink B B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (OrLink B B) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (OrLink B B) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink B B) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (OrLink B B) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink B B) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (AndLink (OrLink B B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (OrLink B B) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (AndLink (OrLink B B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (OrLink B B) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (OrLink B B) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink B B) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (OrLink B B) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink B B) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (AndLink (OrLink B B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (OrLink B B) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (AndLink (OrLink B B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (OrLink B B) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (OrLink B B) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink B B) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (OrLink B B) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink B B) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) abc) (AndLink (OrLink B (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) a) (AndLink (OrLink B (Implication (OrLink C D) E)) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) cde) (AndLink (OrLink B (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) a) (AndLink (OrLink B (Implication (OrLink C D) E)) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc abc)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc cde)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde abc)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde cde)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc abc)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc cde)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde abc)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde cde)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (OrLink B (Implication (OrLink C D) E)) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) abc) (AndLink (OrLink B A) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) a) (AndLink (OrLink B A) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) cde) (AndLink (OrLink B A) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) a) (AndLink (OrLink B A) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (AndLink (OrLink B A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (OrLink B A) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (AndLink (OrLink B A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (OrLink B A) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (OrLink B A) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink B A) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (OrLink B A) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink B A) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (AndLink (OrLink B A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (OrLink B A) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (AndLink (OrLink B A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (OrLink B A) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (OrLink B A) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink B A) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (OrLink B A) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink B A) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (AndLink (OrLink B A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (OrLink B A) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (AndLink (OrLink B A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (OrLink B A) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (OrLink B A) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink B A) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (OrLink B A) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink B A) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (AndLink (OrLink B A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (OrLink B A) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (AndLink (OrLink B A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (OrLink B A) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (OrLink B A) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink B A) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (OrLink B A) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink B A) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) abc) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) a) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) cde) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) a) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) abc) (AndLink (OrLink (Implication (OrLink C D) E) B) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) a) (AndLink (OrLink (Implication (OrLink C D) E) B) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) cde) (AndLink (OrLink (Implication (OrLink C D) E) B) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) a) (AndLink (OrLink (Implication (OrLink C D) E) B) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) B) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) abc) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) a) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) cde) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) a) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) abc) (AndLink (OrLink (Implication (OrLink C D) E) A) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) a) (AndLink (OrLink (Implication (OrLink C D) E) A) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) cde) (AndLink (OrLink (Implication (OrLink C D) E) A) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) a) (AndLink (OrLink (Implication (OrLink C D) E) A) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc abc)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc cde)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde abc)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde cde)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (OrLink (Implication (OrLink C D) E) A) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) abc) (AndLink (OrLink A (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) a) (AndLink (OrLink A (Implication (AndLink A B) C)) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) cde) (AndLink (OrLink A (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) a) (AndLink (OrLink A (Implication (AndLink A B) C)) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc abc)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc cde)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde abc)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde cde)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc abc)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc cde)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde abc)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde cde)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (OrLink A (Implication (AndLink A B) C)) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) abc) (AndLink (OrLink A B) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) a) (AndLink (OrLink A B) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) cde) (AndLink (OrLink A B) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) a) (AndLink (OrLink A B) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (AndLink (OrLink A B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (OrLink A B) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (AndLink (OrLink A B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (OrLink A B) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (OrLink A B) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink A B) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (OrLink A B) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink A B) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (AndLink (OrLink A B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (OrLink A B) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (AndLink (OrLink A B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (OrLink A B) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (OrLink A B) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink A B) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (OrLink A B) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink A B) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (AndLink (OrLink A B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (OrLink A B) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (AndLink (OrLink A B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (OrLink A B) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (OrLink A B) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink A B) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (OrLink A B) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink A B) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (AndLink (OrLink A B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (OrLink A B) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (AndLink (OrLink A B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (OrLink A B) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (OrLink A B) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink A B) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (OrLink A B) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink A B) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) abc) (AndLink (OrLink A (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) a) (AndLink (OrLink A (Implication (OrLink C D) E)) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) cde) (AndLink (OrLink A (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) a) (AndLink (OrLink A (Implication (OrLink C D) E)) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc abc)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc cde)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde abc)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde cde)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc abc)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc cde)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde abc)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde cde)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (OrLink A (Implication (OrLink C D) E)) (AndLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) abc) (AndLink (OrLink A A) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) a) (AndLink (OrLink A A) B)) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) cde) (AndLink (OrLink A A) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) a) (AndLink (OrLink A A) A)) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (AndLink (OrLink A A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (OrLink A A) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (AndLink (OrLink A A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (OrLink A A) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (OrLink A A) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink A A) (OrLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (OrLink A A) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink A A) (OrLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (AndLink (OrLink A A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (OrLink A A) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (AndLink (OrLink A A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (OrLink A A) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (OrLink A A) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink A A) (OrLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (OrLink A A) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (OrLink A A) (OrLink A A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (AndLink (OrLink A A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (OrLink A A) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (AndLink (OrLink A A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (OrLink A A) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (OrLink A A) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink A A) (AndLink B B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (OrLink A A) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink A A) (AndLink B A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (AndLink (OrLink A A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (OrLink A A) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (AndLink (OrLink A A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (OrLink A A) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (OrLink A A) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink A A) (AndLink A B))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (OrLink A A) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (DisjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (OrLink A A) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) abc) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) a) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) cde) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) a) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc abc) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) abc) (AndLink (AndLink (Implication (AndLink A B) C) B) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) a) (AndLink (AndLink (Implication (AndLink A B) C) B) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) cde) (AndLink (AndLink (Implication (AndLink A B) C) B) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) a) (AndLink (AndLink (Implication (AndLink A B) C) B) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) B) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) abc) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) a) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) cde) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) a) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc cde) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) abc) (AndLink (AndLink (Implication (AndLink A B) C) A) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) a) (AndLink (AndLink (Implication (AndLink A B) C) A) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) cde) (AndLink (AndLink (Implication (AndLink A B) C) A) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) a) (AndLink (AndLink (Implication (AndLink A B) C) A) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction abc a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (AndLink A B) C) A) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) abc) (AndLink (AndLink B (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) a) (AndLink (AndLink B (Implication (AndLink A B) C)) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) cde) (AndLink (AndLink B (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) a) (AndLink (AndLink B (Implication (AndLink A B) C)) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc abc)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc cde)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde abc)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde cde)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc abc)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc cde)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde abc)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde cde)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (AndLink B (Implication (AndLink A B) C)) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) abc) (AndLink (AndLink B B) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) a) (AndLink (AndLink B B) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) cde) (AndLink (AndLink B B) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) a) (AndLink (AndLink B B) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (AndLink (AndLink B B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (AndLink B B) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (AndLink (AndLink B B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (AndLink B B) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (AndLink B B) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink B B) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (AndLink B B) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink B B) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (AndLink (AndLink B B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (AndLink B B) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (AndLink (AndLink B B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (AndLink B B) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (AndLink B B) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink B B) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (AndLink B B) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink B B) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (AndLink (AndLink B B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (AndLink B B) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (AndLink (AndLink B B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (AndLink B B) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (AndLink B B) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink B B) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (AndLink B B) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink B B) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (AndLink (AndLink B B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (AndLink B B) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (AndLink (AndLink B B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (AndLink B B) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (AndLink B B) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink B B) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (AndLink B B) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink B B) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) abc) (AndLink (AndLink B (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) a) (AndLink (AndLink B (Implication (OrLink C D) E)) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) cde) (AndLink (AndLink B (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) a) (AndLink (AndLink B (Implication (OrLink C D) E)) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc abc)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc cde)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde abc)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde cde)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc abc)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc cde)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde abc)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde cde)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (AndLink B (Implication (OrLink C D) E)) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) abc) (AndLink (AndLink B A) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) a) (AndLink (AndLink B A) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) cde) (AndLink (AndLink B A) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) a) (AndLink (AndLink B A) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (AndLink (AndLink B A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (AndLink B A) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (AndLink (AndLink B A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (AndLink B A) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (AndLink B A) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink B A) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (AndLink B A) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink B A) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (AndLink (AndLink B A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (AndLink B A) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (AndLink (AndLink B A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (AndLink B A) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (AndLink B A) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink B A) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (AndLink B A) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink B A) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (AndLink (AndLink B A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (AndLink B A) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (AndLink (AndLink B A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (AndLink B A) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (AndLink B A) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink B A) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (AndLink B A) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink B A) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (AndLink (AndLink B A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (AndLink B A) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (AndLink (AndLink B A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (AndLink B A) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (AndLink B A) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink B A) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (AndLink B A) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink B A) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) abc) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) a) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) cde) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) a) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde abc) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) abc) (AndLink (AndLink (Implication (OrLink C D) E) B) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) a) (AndLink (AndLink (Implication (OrLink C D) E) B) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) cde) (AndLink (AndLink (Implication (OrLink C D) E) B) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) a) (AndLink (AndLink (Implication (OrLink C D) E) B) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) B) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) abc) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) a) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) cde) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) a) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde cde) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) abc) (AndLink (AndLink (Implication (OrLink C D) E) A) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) a) (AndLink (AndLink (Implication (OrLink C D) E) A) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) cde) (AndLink (AndLink (Implication (OrLink C D) E) A) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) a) (AndLink (AndLink (Implication (OrLink C D) E) A) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (DisjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc abc)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc cde)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction abc a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde abc)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde cde)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction cde a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a abc)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a cde)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction cde a) (ConjunctionIntroduction a a)) (AndLink (AndLink (Implication (OrLink C D) E) A) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) abc) (AndLink (AndLink A (Implication (AndLink A B) C)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) a) (AndLink (AndLink A (Implication (AndLink A B) C)) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) cde) (AndLink (AndLink A (Implication (AndLink A B) C)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) a) (AndLink (AndLink A (Implication (AndLink A B) C)) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc abc)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc cde)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction abc a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde abc)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde cde)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction cde a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a abc)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a cde)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (DisjunctionIntroduction a a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc abc)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc cde)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction abc a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde abc)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde cde)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction cde a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a abc)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a cde)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a abc) (ConjunctionIntroduction a a)) (AndLink (AndLink A (Implication (AndLink A B) C)) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) abc) (AndLink (AndLink A B) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) a) (AndLink (AndLink A B) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) cde) (AndLink (AndLink A B) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) a) (AndLink (AndLink A B) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (AndLink (AndLink A B) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (AndLink A B) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (AndLink (AndLink A B) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (AndLink A B) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (AndLink A B) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink A B) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (AndLink A B) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink A B) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (AndLink (AndLink A B) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (AndLink A B) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (AndLink (AndLink A B) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (AndLink A B) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (AndLink A B) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink A B) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (AndLink A B) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink A B) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (AndLink (AndLink A B) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (AndLink A B) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (AndLink (AndLink A B) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (AndLink A B) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (AndLink A B) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink A B) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (AndLink A B) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink A B) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (AndLink (AndLink A B) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (AndLink A B) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (AndLink (AndLink A B) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (AndLink A B) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (AndLink A B) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink A B) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (AndLink A B) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink A B) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) abc) (AndLink (AndLink A (Implication (OrLink C D) E)) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) a) (AndLink (AndLink A (Implication (OrLink C D) E)) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) cde) (AndLink (AndLink A (Implication (OrLink C D) E)) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) a) (AndLink (AndLink A (Implication (OrLink C D) E)) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc abc)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc cde)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction abc a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde abc)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde cde)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction cde a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a abc)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a cde)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (DisjunctionIntroduction a a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc abc)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc cde)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction abc a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde abc)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde cde)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction cde a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a abc)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a cde)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a cde) (ConjunctionIntroduction a a)) (AndLink (AndLink A (Implication (OrLink C D) E)) (AndLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) abc) (AndLink (AndLink A A) (Implication (AndLink A B) C))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) a) (AndLink (AndLink A A) B)) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) cde) (AndLink (AndLink A A) (Implication (OrLink C D) E))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) a) (AndLink (AndLink A A) A)) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc abc)) (AndLink (AndLink A A) (OrLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (AndLink A A) (OrLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc cde)) (AndLink (AndLink A A) (OrLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction abc a)) (AndLink (AndLink A A) (OrLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (AndLink A A) (OrLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink A A) (OrLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (AndLink A A) (OrLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink A A) (OrLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde abc)) (AndLink (AndLink A A) (OrLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (AndLink A A) (OrLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde cde)) (AndLink (AndLink A A) (OrLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction cde a)) (AndLink (AndLink A A) (OrLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a abc)) (AndLink (AndLink A A) (OrLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink A A) (OrLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a cde)) (AndLink (AndLink A A) (OrLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (DisjunctionIntroduction a a)) (AndLink (AndLink A A) (OrLink A A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc abc)) (AndLink (AndLink A A) (AndLink (Implication (AndLink A B) C) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (AndLink A A) (AndLink (Implication (AndLink A B) C) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc cde)) (AndLink (AndLink A A) (AndLink (Implication (AndLink A B) C) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction abc a)) (AndLink (AndLink A A) (AndLink (Implication (AndLink A B) C) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (AndLink A A) (AndLink B (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink A A) (AndLink B B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (AndLink A A) (AndLink B (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink A A) (AndLink B A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde abc)) (AndLink (AndLink A A) (AndLink (Implication (OrLink C D) E) (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (AndLink A A) (AndLink (Implication (OrLink C D) E) B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde cde)) (AndLink (AndLink A A) (AndLink (Implication (OrLink C D) E) (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction cde a)) (AndLink (AndLink A A) (AndLink (Implication (OrLink C D) E) A))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a abc)) (AndLink (AndLink A A) (AndLink A (Implication (AndLink A B) C)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink A A) (AndLink A B))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a cde)) (AndLink (AndLink A A) (AndLink A (Implication (OrLink C D) E)))) (: (ConjunctionIntroduction (ConjunctionIntroduction a a) (ConjunctionIntroduction a a)) (AndLink (AndLink A A) (AndLink A A))) (: (ConjunctionEliminationLeft (ConjunctionIntroduction abc abc)) (Implication (AndLink A B) C)) (: (ConjunctionEliminationLeft (ConjunctionIntroduction abc a)) (Implication (AndLink A B) C)) (: (ConjunctionEliminationLeft (ConjunctionIntroduction abc cde)) (Implication (AndLink A B) C)) (: (ConjunctionEliminationLeft (ConjunctionIntroduction abc a)) (Implication (AndLink A B) C)) (: (ConjunctionEliminationLeft (ConjunctionIntroduction a abc)) B) (: (ConjunctionEliminationLeft (ConjunctionIntroduction a a)) B) (: (ConjunctionEliminationLeft (ConjunctionIntroduction a cde)) B) (: (ConjunctionEliminationLeft (ConjunctionIntroduction a a)) B) (: (ConjunctionEliminationLeft (ConjunctionIntroduction cde abc)) (Implication (OrLink C D) E)) (: (ConjunctionEliminationLeft (ConjunctionIntroduction cde a)) (Implication (OrLink C D) E)) (: (ConjunctionEliminationLeft (ConjunctionIntroduction cde cde)) (Implication (OrLink C D) E)) (: (ConjunctionEliminationLeft (ConjunctionIntroduction cde a)) (Implication (OrLink C D) E)) (: (ConjunctionEliminationLeft (ConjunctionIntroduction a abc)) A) (: (ConjunctionEliminationLeft (ConjunctionIntroduction a a)) A) (: (ConjunctionEliminationLeft (ConjunctionIntroduction a cde)) A) (: (ConjunctionEliminationLeft (ConjunctionIntroduction a a)) A) (: (ConjunctionEliminationRight (ConjunctionIntroduction abc abc)) (Implication (AndLink A B) C)) (: (ConjunctionEliminationRight (ConjunctionIntroduction abc a)) B) (: (ConjunctionEliminationRight (ConjunctionIntroduction abc cde)) (Implication (OrLink C D) E)) (: (ConjunctionEliminationRight (ConjunctionIntroduction abc a)) A) (: (ConjunctionEliminationRight (ConjunctionIntroduction a abc)) (Implication (AndLink A B) C)) (: (ConjunctionEliminationRight (ConjunctionIntroduction a a)) B) (: (ConjunctionEliminationRight (ConjunctionIntroduction a cde)) (Implication (OrLink C D) E)) (: (ConjunctionEliminationRight (ConjunctionIntroduction a a)) A) (: (ConjunctionEliminationRight (ConjunctionIntroduction cde abc)) (Implication (AndLink A B) C)) (: (ConjunctionEliminationRight (ConjunctionIntroduction cde a)) B) (: (ConjunctionEliminationRight (ConjunctionIntroduction cde cde)) (Implication (OrLink C D) E)) (: (ConjunctionEliminationRight (ConjunctionIntroduction cde a)) A) (: (ConjunctionEliminationRight (ConjunctionIntroduction a abc)) (Implication (AndLink A B) C)) (: (ConjunctionEliminationRight (ConjunctionIntroduction a a)) B) (: (ConjunctionEliminationRight (ConjunctionIntroduction a cde)) (Implication (OrLink C D) E)) (: (ConjunctionEliminationRight (ConjunctionIntroduction a a)) A))))) Deterministic: () ; Execution took 0.011 secs. (10.82 milliseconds) [()] % 8,622,308 inferences, 2.111 CPU in 2.163 seconds (98% CPU, 4084578 Lips) ; (= /home/deb12user/metta-wam/tests/baseline_compat/hyperon-mettalog_sanity/synth_buffer/time_synthesize.metta 0) LoonIt Report ------------ Successes: 3 Failures: 0
Return to summaries
; (is_cmd_option execute stdin --stdin=tty tty) ; (set_option_value stdin tty) ; (is_cmd_option execute stdout --stdout=tty tty) ; (set_option_value stdout tty) ; (is_cmd_option execute stderr --stderr=tty tty) ; (set_option_value stderr tty) ; (set_option_value prolog false) ; (set_option_value compat auto) ; (set_option_value compatio true) ; (maybe_halt 7) Script done on 2024-09-02 17:15:50-07:00 [COMMAND_EXIT_CODE="7"]