TSTP Solution File: LCL090-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:49:24 EDT 2022
% Result : Unsatisfiable 7.23s 7.46s
% Output : CNFRefutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 3
% Syntax : Number of clauses : 191 ( 97 unt; 0 nHn; 31 RR)
% Number of literals : 311 ( 0 equ; 121 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 1056 ( 507 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(ic_JLukasiewicz_5,axiom,
is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) ).
cnf(prove_ic_1,negated_conjecture,
~ is_a_theorem(implies(a,a)) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(X_2258)
| ~ is_a_theorem(implies(X_2258,implies(implies(X_2258,X_2257),implies(X_2256,implies(X_2259,X_2257)))))
| is_a_theorem(implies(implies(X_2258,X_2257),implies(X_2256,implies(X_2259,X_2257)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2258)),bind(Y,$fot(implies(implies(X_2258,X_2257),implies(X_2256,implies(X_2259,X_2257)))))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4,X_5)))
| ~ is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))))
| is_a_theorem(implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_2,X_3),implies(X_4,X_5)))),bind(Y,$fot(implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))))]]) ).
cnf(refute_0_2,plain,
is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_2)),bind(Q,$fot(X_3)),bind(R,$fot(X_4)),bind(S,$fot(X_5)),bind(T,$fot(X_6))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4,X_5)))
| is_a_theorem(implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2))))) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_1482,implies(X_1477,X_1478)),implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477))),X_2),implies(X_6,implies(implies(X_1482,implies(X_1477,X_1478)),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_1482,implies(X_1477,X_1478)))),bind(X_5,$fot(implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477)))))]]) ).
cnf(refute_0_5,plain,
is_a_theorem(implies(implies(implies(P,Q),implies(X_1471,implies(X_1473,implies(P,Q)))),implies(implies(implies(X_1473,implies(P,Q)),P),implies(T,implies(X_1471,P))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(R,$fot(X_1471)),bind(S,$fot(implies(X_1473,implies(P,Q))))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(implies(implies(X_123,implies(X_122,implies(X_124,X_123))),X_126))
| ~ is_a_theorem(implies(implies(implies(X_123,implies(X_122,implies(X_124,X_123))),X_126),implies(X_127,implies(implies(X_125,X_123),X_126))))
| is_a_theorem(implies(X_127,implies(implies(X_125,X_123),X_126))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_123,implies(X_122,implies(X_124,X_123))),X_126))),bind(Y,$fot(implies(X_127,implies(implies(X_125,X_123),X_126))))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118))))))
| is_a_theorem(implies(implies(implies(X_118,implies(X_117,implies(X_119,X_118))),X_2),implies(X_6,implies(implies(X_120,X_118),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_120,X_118))),bind(X_5,$fot(implies(X_118,implies(X_117,implies(X_119,X_118)))))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)))
| ~ is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))))
| is_a_theorem(implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)))),bind(Y,$fot(implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P)))))
| is_a_theorem(implies(implies(implies(T,implies(R,P)),implies(P,Q)),implies(X_11,implies(implies(S,P),implies(P,Q))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(P,Q))),bind(X_3,$fot(implies(R,S))),bind(X_4,$fot(implies(S,P))),bind(X_5,$fot(implies(T,implies(R,P)))),bind(X_6,$fot(X_11))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(implies(implies(implies(T,implies(R,P)),implies(P,Q)),implies(X_11,implies(implies(S,P),implies(P,Q))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) )],[ic_JLukasiewicz_5,refute_0_9]) ).
cnf(refute_0_11,plain,
is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))),
inference(subst,[],[refute_0_10:[bind(P,$fot(X_12)),bind(Q,$fot(X_13)),bind(R,$fot(X_14)),bind(S,$fot(X_15)),bind(T,$fot(X_16)),bind(X_11,$fot(X_17))]]) ).
cnf(refute_0_12,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)))
| is_a_theorem(implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))) )],[refute_0_11,refute_0_8]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),implies(X_14,X_116)),implies(X_116,implies(X_113,implies(X_14,X_116)))))
| is_a_theorem(implies(X_17,implies(implies(X_15,X_116),implies(X_116,implies(X_113,implies(X_14,X_116)))))) ),
inference(subst,[],[refute_0_12:[bind(X_12,$fot(X_116)),bind(X_13,$fot(implies(X_113,implies(X_14,X_116)))),bind(X_16,$fot(implies(implies(X_112,X_114),implies(X_114,X_113))))]]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(implies(implies(X_111,X_109),implies(X_109,implies(implies(X_108,X_110),implies(X_110,X_109)))))
| is_a_theorem(implies(implies(implies(implies(X_108,X_110),implies(X_110,X_109)),X_111),implies(X_6,implies(X_109,X_111)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_111)),bind(X_3,$fot(X_109)),bind(X_4,$fot(X_109)),bind(X_5,$fot(implies(implies(X_108,X_110),implies(X_110,X_109))))]]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_54,implies(X_59,X_57)),implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57)))))))
| is_a_theorem(implies(implies(implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57)))),X_2),implies(X_6,implies(implies(X_54,implies(X_59,X_57)),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(X_54,implies(X_59,X_57)))),bind(X_5,$fot(implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57))))))]]) ).
cnf(refute_0_16,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_34,X_32))),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))
| is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_34,X_32)),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))) ),
inference(subst,[],[refute_0_12:[bind(X_12,$fot(implies(X_34,X_32))),bind(X_13,$fot(implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))]]) ).
cnf(refute_0_17,plain,
is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25))))),
inference(subst,[],[refute_0_10:[bind(P,$fot(X_27)),bind(Q,$fot(X_25)),bind(X_11,$fot(X_25))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25)))))
| is_a_theorem(implies(X_30,implies(implies(X_28,X_25),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25)))))) ),
inference(subst,[],[refute_0_12:[bind(X_12,$fot(X_25)),bind(X_13,$fot(implies(implies(S,X_27),implies(X_27,X_25)))),bind(X_14,$fot(X_27)),bind(X_15,$fot(X_28)),bind(X_16,$fot(implies(T,implies(R,X_27)))),bind(X_17,$fot(X_30))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(X_30,implies(implies(X_28,X_25),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25))))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_34,X_32))),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))),
inference(subst,[],[refute_0_19:[bind(S,$fot(X_31)),bind(X_25,$fot(X_32)),bind(X_27,$fot(X_33)),bind(X_28,$fot(X_34)),bind(X_30,$fot(implies(X_16,implies(X_14,implies(X_34,X_32)))))]]) ).
cnf(refute_0_21,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_34,X_32)),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_34,X_32))),implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))) )],[refute_0_20,refute_0_16]) ).
cnf(refute_0_22,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_54,implies(X_59,X_57)),implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57))))))),
inference(subst,[],[refute_0_21:[bind(X_15,$fot(X_54)),bind(X_17,$fot(implies(X_2,X_3))),bind(X_31,$fot(X_56)),bind(X_32,$fot(X_57)),bind(X_33,$fot(X_58)),bind(X_34,$fot(X_59))]]) ).
cnf(refute_0_23,plain,
is_a_theorem(implies(implies(implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57)))),X_2),implies(X_6,implies(implies(X_54,implies(X_59,X_57)),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_54,implies(X_59,X_57)),implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57))))))) )],[refute_0_22,refute_0_15]) ).
cnf(refute_0_24,plain,
( ~ is_a_theorem(X_35)
| ~ is_a_theorem(implies(X_35,implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))
| is_a_theorem(implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_35)),bind(Y,$fot(implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))))]]) ).
cnf(refute_0_25,plain,
is_a_theorem(implies(X_35,implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))),
inference(subst,[],[refute_0_19:[bind(S,$fot(X_31)),bind(X_25,$fot(X_32)),bind(X_27,$fot(X_33)),bind(X_28,$fot(X_34)),bind(X_30,$fot(X_35))]]) ).
cnf(refute_0_26,plain,
( ~ is_a_theorem(X_35)
| is_a_theorem(implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_35,implies(implies(X_34,X_32),implies(X_32,implies(implies(X_31,X_33),implies(X_33,X_32)))))) )],[refute_0_25,refute_0_24]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57)))),X_2),implies(X_6,implies(implies(X_54,implies(X_59,X_57)),X_2))))
| is_a_theorem(implies(implies(X_106,X_104),implies(X_104,implies(implies(X_103,X_105),implies(X_105,X_104))))) ),
inference(subst,[],[refute_0_26:[bind(X_31,$fot(X_103)),bind(X_32,$fot(X_104)),bind(X_33,$fot(X_105)),bind(X_34,$fot(X_106)),bind(X_35,$fot(implies(implies(implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57)))),X_2),implies(X_6,implies(implies(X_54,implies(X_59,X_57)),X_2)))))]]) ).
cnf(refute_0_28,plain,
is_a_theorem(implies(implies(X_106,X_104),implies(X_104,implies(implies(X_103,X_105),implies(X_105,X_104))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_59,X_57),implies(X_57,implies(implies(X_56,X_58),implies(X_58,X_57)))),X_2),implies(X_6,implies(implies(X_54,implies(X_59,X_57)),X_2)))) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
is_a_theorem(implies(implies(X_111,X_109),implies(X_109,implies(implies(X_108,X_110),implies(X_110,X_109))))),
inference(subst,[],[refute_0_28:[bind(X_103,$fot(X_108)),bind(X_104,$fot(X_109)),bind(X_105,$fot(X_110)),bind(X_106,$fot(X_111))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(implies(implies(implies(X_108,X_110),implies(X_110,X_109)),X_111),implies(X_6,implies(X_109,X_111)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_111,X_109),implies(X_109,implies(implies(X_108,X_110),implies(X_110,X_109))))) )],[refute_0_29,refute_0_14]) ).
cnf(refute_0_31,plain,
is_a_theorem(implies(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),implies(X_14,X_116)),implies(X_116,implies(X_113,implies(X_14,X_116))))),
inference(subst,[],[refute_0_30:[bind(X_108,$fot(X_112)),bind(X_109,$fot(X_113)),bind(X_110,$fot(X_114)),bind(X_111,$fot(implies(X_14,X_116))),bind(X_6,$fot(X_116))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,X_116),implies(X_116,implies(X_113,implies(X_14,X_116)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),implies(X_14,X_116)),implies(X_116,implies(X_113,implies(X_14,X_116))))) )],[refute_0_31,refute_0_13]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118)))))),
inference(subst,[],[refute_0_32:[bind(X_113,$fot(X_117)),bind(X_116,$fot(X_118)),bind(X_14,$fot(X_119)),bind(X_15,$fot(X_120)),bind(X_17,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_34,plain,
is_a_theorem(implies(implies(implies(X_118,implies(X_117,implies(X_119,X_118))),X_2),implies(X_6,implies(implies(X_120,X_118),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118)))))) )],[refute_0_33,refute_0_7]) ).
cnf(refute_0_35,plain,
is_a_theorem(implies(implies(implies(X_123,implies(X_122,implies(X_124,X_123))),X_126),implies(X_127,implies(implies(X_125,X_123),X_126)))),
inference(subst,[],[refute_0_34:[bind(X_117,$fot(X_122)),bind(X_118,$fot(X_123)),bind(X_119,$fot(X_124)),bind(X_120,$fot(X_125)),bind(X_2,$fot(X_126)),bind(X_6,$fot(X_127))]]) ).
cnf(refute_0_36,plain,
( ~ is_a_theorem(implies(implies(X_123,implies(X_122,implies(X_124,X_123))),X_126))
| is_a_theorem(implies(X_127,implies(implies(X_125,X_123),X_126))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_123,implies(X_122,implies(X_124,X_123))),X_126),implies(X_127,implies(implies(X_125,X_123),X_126)))) )],[refute_0_35,refute_0_6]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(implies(implies(implies(P,Q),implies(X_1471,implies(X_1473,implies(P,Q)))),implies(implies(implies(X_1473,implies(P,Q)),P),implies(T,implies(X_1471,P)))))
| is_a_theorem(implies(X_1476,implies(implies(X_1474,implies(P,Q)),implies(implies(implies(X_1473,implies(P,Q)),P),implies(T,implies(X_1471,P)))))) ),
inference(subst,[],[refute_0_36:[bind(X_122,$fot(X_1471)),bind(X_123,$fot(implies(P,Q))),bind(X_124,$fot(X_1473)),bind(X_125,$fot(X_1474)),bind(X_126,$fot(implies(implies(implies(X_1473,implies(P,Q)),P),implies(T,implies(X_1471,P))))),bind(X_127,$fot(X_1476))]]) ).
cnf(refute_0_38,plain,
is_a_theorem(implies(X_1476,implies(implies(X_1474,implies(P,Q)),implies(implies(implies(X_1473,implies(P,Q)),P),implies(T,implies(X_1471,P)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(X_1471,implies(X_1473,implies(P,Q)))),implies(implies(implies(X_1473,implies(P,Q)),P),implies(T,implies(X_1471,P))))) )],[refute_0_5,refute_0_37]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_1482,implies(X_1477,X_1478)),implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477)))))),
inference(subst,[],[refute_0_38:[bind(P,$fot(X_1477)),bind(Q,$fot(X_1478)),bind(T,$fot(X_1479)),bind(X_1471,$fot(X_1480)),bind(X_1473,$fot(X_1481)),bind(X_1474,$fot(X_1482)),bind(X_1476,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_40,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477))),X_2),implies(X_6,implies(implies(X_1482,implies(X_1477,X_1478)),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_1482,implies(X_1477,X_1478)),implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477)))))) )],[refute_0_39,refute_0_4]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(X_302)
| ~ is_a_theorem(implies(X_302,implies(X_300,implies(implies(X_300,X_299),implies(X_298,implies(X_301,X_299))))))
| is_a_theorem(implies(X_300,implies(implies(X_300,X_299),implies(X_298,implies(X_301,X_299))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_302)),bind(Y,$fot(implies(X_300,implies(implies(X_300,X_299),implies(X_298,implies(X_301,X_299))))))]]) ).
cnf(refute_0_42,plain,
is_a_theorem(implies(implies(implies(X_293,X_295),implies(X_295,X_294)),implies(implies(X_294,X_293),implies(T,implies(X_295,X_293))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_293)),bind(Q,$fot(X_295)),bind(R,$fot(X_295)),bind(S,$fot(X_294))]]) ).
cnf(refute_0_43,plain,
( ~ is_a_theorem(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),X_115))
| ~ is_a_theorem(implies(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),X_115),implies(X_116,implies(X_113,X_115))))
| is_a_theorem(implies(X_116,implies(X_113,X_115))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),X_115))),bind(Y,$fot(implies(X_116,implies(X_113,X_115))))]]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),X_115),implies(X_116,implies(X_113,X_115)))),
inference(subst,[],[refute_0_30:[bind(X_108,$fot(X_112)),bind(X_109,$fot(X_113)),bind(X_110,$fot(X_114)),bind(X_111,$fot(X_115)),bind(X_6,$fot(X_116))]]) ).
cnf(refute_0_45,plain,
( ~ is_a_theorem(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),X_115))
| is_a_theorem(implies(X_116,implies(X_113,X_115))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),X_115),implies(X_116,implies(X_113,X_115)))) )],[refute_0_44,refute_0_43]) ).
cnf(refute_0_46,plain,
( ~ is_a_theorem(implies(implies(implies(X_293,X_295),implies(X_295,X_294)),implies(implies(X_294,X_293),implies(T,implies(X_295,X_293)))))
| is_a_theorem(implies(X_297,implies(X_294,implies(implies(X_294,X_293),implies(T,implies(X_295,X_293)))))) ),
inference(subst,[],[refute_0_45:[bind(X_112,$fot(X_293)),bind(X_113,$fot(X_294)),bind(X_114,$fot(X_295)),bind(X_115,$fot(implies(implies(X_294,X_293),implies(T,implies(X_295,X_293))))),bind(X_116,$fot(X_297))]]) ).
cnf(refute_0_47,plain,
is_a_theorem(implies(X_297,implies(X_294,implies(implies(X_294,X_293),implies(T,implies(X_295,X_293)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_293,X_295),implies(X_295,X_294)),implies(implies(X_294,X_293),implies(T,implies(X_295,X_293))))) )],[refute_0_42,refute_0_46]) ).
cnf(refute_0_48,plain,
is_a_theorem(implies(X_302,implies(X_300,implies(implies(X_300,X_299),implies(X_298,implies(X_301,X_299)))))),
inference(subst,[],[refute_0_47:[bind(T,$fot(X_298)),bind(X_293,$fot(X_299)),bind(X_294,$fot(X_300)),bind(X_295,$fot(X_301)),bind(X_297,$fot(X_302))]]) ).
cnf(refute_0_49,plain,
( ~ is_a_theorem(X_302)
| is_a_theorem(implies(X_300,implies(implies(X_300,X_299),implies(X_298,implies(X_301,X_299))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_302,implies(X_300,implies(implies(X_300,X_299),implies(X_298,implies(X_301,X_299)))))) )],[refute_0_48,refute_0_41]) ).
cnf(refute_0_50,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477))),X_2),implies(X_6,implies(implies(X_1482,implies(X_1477,X_1478)),X_2))))
| is_a_theorem(implies(X_2253,implies(implies(X_2253,X_2252),implies(X_2251,implies(X_2254,X_2252))))) ),
inference(subst,[],[refute_0_49:[bind(X_298,$fot(X_2251)),bind(X_299,$fot(X_2252)),bind(X_300,$fot(X_2253)),bind(X_301,$fot(X_2254)),bind(X_302,$fot(implies(implies(implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477))),X_2),implies(X_6,implies(implies(X_1482,implies(X_1477,X_1478)),X_2)))))]]) ).
cnf(refute_0_51,plain,
is_a_theorem(implies(X_2253,implies(implies(X_2253,X_2252),implies(X_2251,implies(X_2254,X_2252))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1481,implies(X_1477,X_1478)),X_1477),implies(X_1479,implies(X_1480,X_1477))),X_2),implies(X_6,implies(implies(X_1482,implies(X_1477,X_1478)),X_2)))) )],[refute_0_40,refute_0_50]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(X_2258,implies(implies(X_2258,X_2257),implies(X_2256,implies(X_2259,X_2257))))),
inference(subst,[],[refute_0_51:[bind(X_2251,$fot(X_2256)),bind(X_2252,$fot(X_2257)),bind(X_2253,$fot(X_2258)),bind(X_2254,$fot(X_2259))]]) ).
cnf(refute_0_53,plain,
( ~ is_a_theorem(X_2258)
| is_a_theorem(implies(implies(X_2258,X_2257),implies(X_2256,implies(X_2259,X_2257)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2258,implies(implies(X_2258,X_2257),implies(X_2256,implies(X_2259,X_2257))))) )],[refute_0_52,refute_0_0]) ).
cnf(refute_0_54,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) ),
inference(subst,[],[refute_0_53:[bind(X_2258,$fot(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271)))))]]) ).
cnf(refute_0_55,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4172,implies(implies(implies(X_4174,X_4175),X_4174),implies(X_4177,implies(implies(X_4176,X_4174),X_4174))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_4174,X_4175),X_4174),implies(X_4177,implies(implies(X_4176,X_4174),X_4174))),X_2),implies(X_6,implies(X_4172,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_4172)),bind(X_5,$fot(implies(implies(implies(X_4174,X_4175),X_4174),implies(X_4177,implies(implies(X_4176,X_4174),X_4174)))))]]) ).
cnf(refute_0_56,plain,
is_a_theorem(implies(implies(implies(X_4112,Q),implies(implies(X_4115,X_4112),implies(X_4112,X_4113))),implies(implies(implies(X_4112,X_4113),X_4112),implies(X_4116,implies(implies(X_4115,X_4112),X_4112))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_4112)),bind(R,$fot(implies(X_4115,X_4112))),bind(S,$fot(implies(X_4112,X_4113))),bind(T,$fot(X_4116))]]) ).
cnf(refute_0_57,plain,
( ~ is_a_theorem(implies(implies(X_158,implies(implies(X_164,X_161),implies(X_161,X_162))),implies(X_157,implies(X_165,implies(X_163,X_161)))))
| ~ is_a_theorem(implies(implies(implies(X_158,implies(implies(X_164,X_161),implies(X_161,X_162))),implies(X_157,implies(X_165,implies(X_163,X_161)))),implies(X_160,implies(X_159,implies(X_157,implies(X_165,implies(X_163,X_161)))))))
| is_a_theorem(implies(X_160,implies(X_159,implies(X_157,implies(X_165,implies(X_163,X_161)))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_158,implies(implies(X_164,X_161),implies(X_161,X_162))),implies(X_157,implies(X_165,implies(X_163,X_161)))))),bind(Y,$fot(implies(X_160,implies(X_159,implies(X_157,implies(X_165,implies(X_163,X_161)))))))]]) ).
cnf(refute_0_58,plain,
( ~ is_a_theorem(implies(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))))
| is_a_theorem(implies(implies(implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_100,implies(X_99,implies(X_97,X_95)))),implies(X_6,implies(X_102,implies(X_100,implies(X_99,implies(X_97,X_95))))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(X_100,implies(X_99,implies(X_97,X_95))))),bind(X_3,$fot(implies(implies(X_98,X_95),implies(X_95,X_96)))),bind(X_4,$fot(X_102)),bind(X_5,$fot(implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96)))))]]) ).
cnf(refute_0_59,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18))))))
| is_a_theorem(implies(implies(implies(X_23,implies(X_22,implies(X_20,X_18))),implies(implies(X_21,X_18),implies(X_18,X_19))),implies(X_6,implies(X_24,implies(implies(X_21,X_18),implies(X_18,X_19)))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(X_21,X_18),implies(X_18,X_19)))),bind(X_3,$fot(implies(X_22,implies(X_20,X_18)))),bind(X_4,$fot(X_24)),bind(X_5,$fot(implies(X_23,implies(X_22,implies(X_20,X_18)))))]]) ).
cnf(refute_0_60,plain,
( ~ is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))))
| is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12)))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(X_16,implies(X_14,X_12)))),bind(X_3,$fot(implies(X_12,X_13))),bind(X_4,$fot(X_17)),bind(X_5,$fot(implies(implies(X_15,X_12),implies(X_12,X_13))))]]) ).
cnf(refute_0_61,plain,
is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))) )],[refute_0_11,refute_0_60]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18)))))),
inference(subst,[],[refute_0_61:[bind(X_12,$fot(X_18)),bind(X_13,$fot(X_19)),bind(X_14,$fot(X_20)),bind(X_15,$fot(X_21)),bind(X_16,$fot(X_22)),bind(X_17,$fot(X_23)),bind(X_6,$fot(X_24))]]) ).
cnf(refute_0_63,plain,
is_a_theorem(implies(implies(implies(X_23,implies(X_22,implies(X_20,X_18))),implies(implies(X_21,X_18),implies(X_18,X_19))),implies(X_6,implies(X_24,implies(implies(X_21,X_18),implies(X_18,X_19)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18)))))) )],[refute_0_62,refute_0_59]) ).
cnf(refute_0_64,plain,
is_a_theorem(implies(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96)))))),
inference(subst,[],[refute_0_63:[bind(X_18,$fot(X_95)),bind(X_19,$fot(X_96)),bind(X_20,$fot(X_97)),bind(X_21,$fot(X_98)),bind(X_22,$fot(X_99)),bind(X_23,$fot(X_100)),bind(X_24,$fot(X_101)),bind(X_6,$fot(X_102))]]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(implies(implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_100,implies(X_99,implies(X_97,X_95)))),implies(X_6,implies(X_102,implies(X_100,implies(X_99,implies(X_97,X_95))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96)))))) )],[refute_0_64,refute_0_58]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(implies(implies(X_158,implies(implies(X_164,X_161),implies(X_161,X_162))),implies(X_157,implies(X_165,implies(X_163,X_161)))),implies(X_160,implies(X_159,implies(X_157,implies(X_165,implies(X_163,X_161))))))),
inference(subst,[],[refute_0_65:[bind(X_100,$fot(X_157)),bind(X_101,$fot(X_158)),bind(X_102,$fot(X_159)),bind(X_6,$fot(X_160)),bind(X_95,$fot(X_161)),bind(X_96,$fot(X_162)),bind(X_97,$fot(X_163)),bind(X_98,$fot(X_164)),bind(X_99,$fot(X_165))]]) ).
cnf(refute_0_67,plain,
( ~ is_a_theorem(implies(implies(X_158,implies(implies(X_164,X_161),implies(X_161,X_162))),implies(X_157,implies(X_165,implies(X_163,X_161)))))
| is_a_theorem(implies(X_160,implies(X_159,implies(X_157,implies(X_165,implies(X_163,X_161)))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_158,implies(implies(X_164,X_161),implies(X_161,X_162))),implies(X_157,implies(X_165,implies(X_163,X_161)))),implies(X_160,implies(X_159,implies(X_157,implies(X_165,implies(X_163,X_161))))))) )],[refute_0_66,refute_0_57]) ).
cnf(refute_0_68,plain,
( ~ is_a_theorem(implies(implies(implies(X_4112,Q),implies(implies(X_4115,X_4112),implies(X_4112,X_4113))),implies(implies(implies(X_4112,X_4113),X_4112),implies(X_4116,implies(implies(X_4115,X_4112),X_4112)))))
| is_a_theorem(implies(X_4111,implies(X_4110,implies(implies(implies(X_4112,X_4113),X_4112),implies(X_4116,implies(implies(X_4115,X_4112),X_4112)))))) ),
inference(subst,[],[refute_0_67:[bind(X_157,$fot(implies(implies(X_4112,X_4113),X_4112))),bind(X_158,$fot(implies(X_4112,Q))),bind(X_159,$fot(X_4110)),bind(X_160,$fot(X_4111)),bind(X_161,$fot(X_4112)),bind(X_162,$fot(X_4113)),bind(X_163,$fot(implies(X_4115,X_4112))),bind(X_164,$fot(X_4115)),bind(X_165,$fot(X_4116))]]) ).
cnf(refute_0_69,plain,
is_a_theorem(implies(X_4111,implies(X_4110,implies(implies(implies(X_4112,X_4113),X_4112),implies(X_4116,implies(implies(X_4115,X_4112),X_4112)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_4112,Q),implies(implies(X_4115,X_4112),implies(X_4112,X_4113))),implies(implies(implies(X_4112,X_4113),X_4112),implies(X_4116,implies(implies(X_4115,X_4112),X_4112))))) )],[refute_0_56,refute_0_68]) ).
cnf(refute_0_70,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_4172,implies(implies(implies(X_4174,X_4175),X_4174),implies(X_4177,implies(implies(X_4176,X_4174),X_4174)))))),
inference(subst,[],[refute_0_69:[bind(X_4110,$fot(X_4172)),bind(X_4111,$fot(implies(X_2,X_3))),bind(X_4112,$fot(X_4174)),bind(X_4113,$fot(X_4175)),bind(X_4115,$fot(X_4176)),bind(X_4116,$fot(X_4177))]]) ).
cnf(refute_0_71,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_4174,X_4175),X_4174),implies(X_4177,implies(implies(X_4176,X_4174),X_4174))),X_2),implies(X_6,implies(X_4172,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_4172,implies(implies(implies(X_4174,X_4175),X_4174),implies(X_4177,implies(implies(X_4176,X_4174),X_4174)))))) )],[refute_0_70,refute_0_55]) ).
cnf(refute_0_72,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271)))),
inference(subst,[],[refute_0_71:[bind(X_2,$fot(X_4271)),bind(X_4172,$fot(X_4272)),bind(X_4174,$fot(X_4273)),bind(X_4175,$fot(X_4274)),bind(X_4176,$fot(X_4275)),bind(X_4177,$fot(X_4276)),bind(X_6,$fot(X_4277))]]) ).
cnf(refute_0_73,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271)))) )],[refute_0_72,refute_0_54]) ).
cnf(refute_0_74,plain,
( ~ is_a_theorem(X_8914)
| ~ is_a_theorem(implies(X_8914,implies(X_8915,X_8915)))
| is_a_theorem(implies(X_8915,X_8915)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_8914)),bind(Y,$fot(implies(X_8915,X_8915)))]]) ).
cnf(refute_0_75,plain,
( ~ is_a_theorem(X_8904)
| ~ is_a_theorem(implies(X_8904,implies(X_8905,implies(X_8906,X_8906))))
| is_a_theorem(implies(X_8905,implies(X_8906,X_8906))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_8904)),bind(Y,$fot(implies(X_8905,implies(X_8906,X_8906))))]]) ).
cnf(refute_0_76,plain,
( ~ is_a_theorem(X_8638)
| ~ is_a_theorem(implies(X_8638,implies(X_8639,implies(X_8640,X_8639))))
| is_a_theorem(implies(X_8639,implies(X_8640,X_8639))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_8638)),bind(Y,$fot(implies(X_8639,implies(X_8640,X_8639))))]]) ).
cnf(refute_0_77,plain,
( ~ is_a_theorem(X_8633)
| ~ is_a_theorem(implies(X_8633,implies(X_8630,implies(X_8631,implies(X_8632,X_8631)))))
| is_a_theorem(implies(X_8630,implies(X_8631,implies(X_8632,X_8631)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_8633)),bind(Y,$fot(implies(X_8630,implies(X_8631,implies(X_8632,X_8631)))))]]) ).
cnf(refute_0_78,plain,
( ~ is_a_theorem(X_8592)
| ~ is_a_theorem(implies(X_8592,implies(X_8595,implies(X_8591,implies(X_8593,implies(X_8594,X_8593))))))
| is_a_theorem(implies(X_8595,implies(X_8591,implies(X_8593,implies(X_8594,X_8593))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_8592)),bind(Y,$fot(implies(X_8595,implies(X_8591,implies(X_8593,implies(X_8594,X_8593))))))]]) ).
cnf(refute_0_79,plain,
( ~ is_a_theorem(X_2004)
| ~ is_a_theorem(implies(X_2004,implies(X_2001,implies(X_2005,implies(X_2000,implies(X_2002,implies(X_2003,X_2002)))))))
| is_a_theorem(implies(X_2001,implies(X_2005,implies(X_2000,implies(X_2002,implies(X_2003,X_2002)))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2004)),bind(Y,$fot(implies(X_2001,implies(X_2005,implies(X_2000,implies(X_2002,implies(X_2003,X_2002)))))))]]) ).
cnf(refute_0_80,plain,
( ~ is_a_theorem(implies(implies(implies(X_1355,implies(X_1357,X_1355)),X_1358),implies(X_1359,implies(implies(implies(X_1356,X_1355),X_1355),X_1358))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1356,X_1355),X_1355),X_1358),implies(X_1355,implies(X_1357,X_1355))),implies(X_6,implies(X_1359,implies(X_1355,implies(X_1357,X_1355)))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(X_1355,implies(X_1357,X_1355)))),bind(X_3,$fot(X_1358)),bind(X_4,$fot(X_1359)),bind(X_5,$fot(implies(implies(implies(X_1356,X_1355),X_1355),X_1358)))]]) ).
cnf(refute_0_81,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_1353,X_1352),X_1352),implies(X_1352,implies(X_1354,X_1352)))))
| is_a_theorem(implies(implies(implies(X_1352,implies(X_1354,X_1352)),X_2),implies(X_6,implies(implies(implies(X_1353,X_1352),X_1352),X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(implies(implies(X_1353,X_1352),X_1352))),bind(X_5,$fot(implies(X_1352,implies(X_1354,X_1352))))]]) ).
cnf(refute_0_82,plain,
( ~ is_a_theorem(implies(implies(X_1096,X_1097),implies(X_1097,implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101))),X_1096),implies(X_6,implies(X_1097,X_1096)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_1096)),bind(X_3,$fot(X_1097)),bind(X_4,$fot(X_1097)),bind(X_5,$fot(implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101)))))]]) ).
cnf(refute_0_83,plain,
( ~ is_a_theorem(implies(implies(X_451,X_449),implies(X_449,implies(X_448,implies(X_450,X_449)))))
| is_a_theorem(implies(implies(implies(X_448,implies(X_450,X_449)),X_451),implies(X_6,implies(X_449,X_451)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_451)),bind(X_3,$fot(X_449)),bind(X_4,$fot(X_449)),bind(X_5,$fot(implies(X_448,implies(X_450,X_449))))]]) ).
cnf(refute_0_84,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))),X_2),implies(X_6,implies(X_194,X_2)))) ),
inference(subst,[],[refute_0_3:[bind(X_4,$fot(X_194)),bind(X_5,$fot(implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196)))))]]) ).
cnf(refute_0_85,plain,
is_a_theorem(implies(implies(implies(X_183,Q),implies(X_187,implies(X_185,X_183))),implies(implies(implies(X_185,X_183),X_183),implies(X_183,implies(X_187,X_183))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_183)),bind(R,$fot(X_187)),bind(S,$fot(implies(X_185,X_183))),bind(T,$fot(X_183))]]) ).
cnf(refute_0_86,plain,
( ~ is_a_theorem(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))))
| ~ is_a_theorem(implies(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))))
| is_a_theorem(implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))))),bind(Y,$fot(implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))))]]) ).
cnf(refute_0_87,plain,
( ~ is_a_theorem(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))))
| is_a_theorem(implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96)))))) )],[refute_0_64,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ is_a_theorem(implies(implies(implies(X_183,Q),implies(X_187,implies(X_185,X_183))),implies(implies(implies(X_185,X_183),X_183),implies(X_183,implies(X_187,X_183)))))
| is_a_theorem(implies(X_182,implies(X_181,implies(implies(implies(X_185,X_183),X_183),implies(X_183,implies(X_187,X_183)))))) ),
inference(subst,[],[refute_0_87:[bind(X_100,$fot(implies(X_183,Q))),bind(X_101,$fot(X_181)),bind(X_102,$fot(X_182)),bind(X_95,$fot(X_183)),bind(X_96,$fot(implies(X_187,X_183))),bind(X_97,$fot(X_185)),bind(X_98,$fot(implies(X_185,X_183))),bind(X_99,$fot(X_187))]]) ).
cnf(refute_0_89,plain,
is_a_theorem(implies(X_182,implies(X_181,implies(implies(implies(X_185,X_183),X_183),implies(X_183,implies(X_187,X_183)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_183,Q),implies(X_187,implies(X_185,X_183))),implies(implies(implies(X_185,X_183),X_183),implies(X_183,implies(X_187,X_183))))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196)))))),
inference(subst,[],[refute_0_89:[bind(X_181,$fot(X_194)),bind(X_182,$fot(implies(X_2,X_3))),bind(X_183,$fot(X_196)),bind(X_185,$fot(X_197)),bind(X_187,$fot(X_198))]]) ).
cnf(refute_0_91,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))),X_2),implies(X_6,implies(X_194,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196)))))) )],[refute_0_90,refute_0_84]) ).
cnf(refute_0_92,plain,
( ~ is_a_theorem(X_121)
| ~ is_a_theorem(implies(X_121,implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118))))))
| is_a_theorem(implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_121)),bind(Y,$fot(implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118))))))]]) ).
cnf(refute_0_93,plain,
is_a_theorem(implies(X_121,implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118)))))),
inference(subst,[],[refute_0_32:[bind(X_113,$fot(X_117)),bind(X_116,$fot(X_118)),bind(X_14,$fot(X_119)),bind(X_15,$fot(X_120)),bind(X_17,$fot(X_121))]]) ).
cnf(refute_0_94,plain,
( ~ is_a_theorem(X_121)
| is_a_theorem(implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_121,implies(implies(X_120,X_118),implies(X_118,implies(X_117,implies(X_119,X_118)))))) )],[refute_0_93,refute_0_92]) ).
cnf(refute_0_95,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))),X_2),implies(X_6,implies(X_194,X_2))))
| is_a_theorem(implies(implies(X_446,X_444),implies(X_444,implies(X_443,implies(X_445,X_444))))) ),
inference(subst,[],[refute_0_94:[bind(X_117,$fot(X_443)),bind(X_118,$fot(X_444)),bind(X_119,$fot(X_445)),bind(X_120,$fot(X_446)),bind(X_121,$fot(implies(implies(implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))),X_2),implies(X_6,implies(X_194,X_2)))))]]) ).
cnf(refute_0_96,plain,
is_a_theorem(implies(implies(X_446,X_444),implies(X_444,implies(X_443,implies(X_445,X_444))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))),X_2),implies(X_6,implies(X_194,X_2)))) )],[refute_0_91,refute_0_95]) ).
cnf(refute_0_97,plain,
is_a_theorem(implies(implies(X_451,X_449),implies(X_449,implies(X_448,implies(X_450,X_449))))),
inference(subst,[],[refute_0_96:[bind(X_443,$fot(X_448)),bind(X_444,$fot(X_449)),bind(X_445,$fot(X_450)),bind(X_446,$fot(X_451))]]) ).
cnf(refute_0_98,plain,
is_a_theorem(implies(implies(implies(X_448,implies(X_450,X_449)),X_451),implies(X_6,implies(X_449,X_451)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_451,X_449),implies(X_449,implies(X_448,implies(X_450,X_449))))) )],[refute_0_97,refute_0_83]) ).
cnf(refute_0_99,plain,
is_a_theorem(implies(implies(implies(X_448,implies(X_450,X_449)),X_451),implies(X_1090,implies(X_449,X_451)))),
inference(subst,[],[refute_0_98:[bind(X_6,$fot(X_1090))]]) ).
cnf(refute_0_100,plain,
( ~ is_a_theorem(implies(X_136,implies(X_132,X_133)))
| ~ is_a_theorem(implies(implies(X_136,implies(X_132,X_133)),implies(implies(X_134,X_135),implies(X_135,implies(X_136,implies(X_132,X_133))))))
| is_a_theorem(implies(implies(X_134,X_135),implies(X_135,implies(X_136,implies(X_132,X_133))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_136,implies(X_132,X_133)))),bind(Y,$fot(implies(implies(X_134,X_135),implies(X_135,implies(X_136,implies(X_132,X_133))))))]]) ).
cnf(refute_0_101,plain,
( ~ is_a_theorem(implies(X_111,X_109))
| ~ is_a_theorem(implies(implies(X_111,X_109),implies(X_109,implies(implies(X_108,X_110),implies(X_110,X_109)))))
| is_a_theorem(implies(X_109,implies(implies(X_108,X_110),implies(X_110,X_109)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_111,X_109))),bind(Y,$fot(implies(X_109,implies(implies(X_108,X_110),implies(X_110,X_109)))))]]) ).
cnf(refute_0_102,plain,
( ~ is_a_theorem(implies(X_111,X_109))
| is_a_theorem(implies(X_109,implies(implies(X_108,X_110),implies(X_110,X_109)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_111,X_109),implies(X_109,implies(implies(X_108,X_110),implies(X_110,X_109))))) )],[refute_0_29,refute_0_101]) ).
cnf(refute_0_103,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_108,X_110),implies(X_110,X_109)),X_111),implies(X_6,implies(X_109,X_111))))
| is_a_theorem(implies(implies(X_6,implies(X_109,X_111)),implies(implies(X_128,X_130),implies(X_130,implies(X_6,implies(X_109,X_111)))))) ),
inference(subst,[],[refute_0_102:[bind(X_108,$fot(X_128)),bind(X_109,$fot(implies(X_6,implies(X_109,X_111)))),bind(X_110,$fot(X_130)),bind(X_111,$fot(implies(implies(implies(X_108,X_110),implies(X_110,X_109)),X_111)))]]) ).
cnf(refute_0_104,plain,
is_a_theorem(implies(implies(X_6,implies(X_109,X_111)),implies(implies(X_128,X_130),implies(X_130,implies(X_6,implies(X_109,X_111)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_108,X_110),implies(X_110,X_109)),X_111),implies(X_6,implies(X_109,X_111)))) )],[refute_0_30,refute_0_103]) ).
cnf(refute_0_105,plain,
is_a_theorem(implies(implies(X_136,implies(X_132,X_133)),implies(implies(X_134,X_135),implies(X_135,implies(X_136,implies(X_132,X_133)))))),
inference(subst,[],[refute_0_104:[bind(X_109,$fot(X_132)),bind(X_111,$fot(X_133)),bind(X_128,$fot(X_134)),bind(X_130,$fot(X_135)),bind(X_6,$fot(X_136))]]) ).
cnf(refute_0_106,plain,
( ~ is_a_theorem(implies(X_136,implies(X_132,X_133)))
| is_a_theorem(implies(implies(X_134,X_135),implies(X_135,implies(X_136,implies(X_132,X_133))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_136,implies(X_132,X_133)),implies(implies(X_134,X_135),implies(X_135,implies(X_136,implies(X_132,X_133)))))) )],[refute_0_105,refute_0_100]) ).
cnf(refute_0_107,plain,
( ~ is_a_theorem(implies(implies(implies(X_448,implies(X_450,X_449)),X_451),implies(X_1090,implies(X_449,X_451))))
| is_a_theorem(implies(implies(X_1092,X_1093),implies(X_1093,implies(implies(implies(X_448,implies(X_450,X_449)),X_451),implies(X_1090,implies(X_449,X_451)))))) ),
inference(subst,[],[refute_0_106:[bind(X_132,$fot(X_1090)),bind(X_133,$fot(implies(X_449,X_451))),bind(X_134,$fot(X_1092)),bind(X_135,$fot(X_1093)),bind(X_136,$fot(implies(implies(X_448,implies(X_450,X_449)),X_451)))]]) ).
cnf(refute_0_108,plain,
is_a_theorem(implies(implies(X_1092,X_1093),implies(X_1093,implies(implies(implies(X_448,implies(X_450,X_449)),X_451),implies(X_1090,implies(X_449,X_451)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_448,implies(X_450,X_449)),X_451),implies(X_1090,implies(X_449,X_451)))) )],[refute_0_99,refute_0_107]) ).
cnf(refute_0_109,plain,
is_a_theorem(implies(implies(X_1096,X_1097),implies(X_1097,implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101)))))),
inference(subst,[],[refute_0_108:[bind(X_1090,$fot(X_1095)),bind(X_1092,$fot(X_1096)),bind(X_1093,$fot(X_1097)),bind(X_448,$fot(X_1098)),bind(X_449,$fot(X_1099)),bind(X_450,$fot(X_1100)),bind(X_451,$fot(X_1101))]]) ).
cnf(refute_0_110,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101))),X_1096),implies(X_6,implies(X_1097,X_1096)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1096,X_1097),implies(X_1097,implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101)))))) )],[refute_0_109,refute_0_82]) ).
cnf(refute_0_111,plain,
( ~ is_a_theorem(X_195)
| ~ is_a_theorem(implies(X_195,implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))))))
| is_a_theorem(implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_195)),bind(Y,$fot(implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))))))]]) ).
cnf(refute_0_112,plain,
is_a_theorem(implies(X_195,implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196)))))),
inference(subst,[],[refute_0_89:[bind(X_181,$fot(X_194)),bind(X_182,$fot(X_195)),bind(X_183,$fot(X_196)),bind(X_185,$fot(X_197)),bind(X_187,$fot(X_198))]]) ).
cnf(refute_0_113,plain,
( ~ is_a_theorem(X_195)
| is_a_theorem(implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_195,implies(X_194,implies(implies(implies(X_197,X_196),X_196),implies(X_196,implies(X_198,X_196)))))) )],[refute_0_112,refute_0_111]) ).
cnf(refute_0_114,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101))),X_1096),implies(X_6,implies(X_1097,X_1096))))
| is_a_theorem(implies(X_1346,implies(implies(implies(X_1349,X_1348),X_1348),implies(X_1348,implies(X_1350,X_1348))))) ),
inference(subst,[],[refute_0_113:[bind(X_194,$fot(X_1346)),bind(X_195,$fot(implies(implies(implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101))),X_1096),implies(X_6,implies(X_1097,X_1096))))),bind(X_196,$fot(X_1348)),bind(X_197,$fot(X_1349)),bind(X_198,$fot(X_1350))]]) ).
cnf(refute_0_115,plain,
is_a_theorem(implies(X_1346,implies(implies(implies(X_1349,X_1348),X_1348),implies(X_1348,implies(X_1350,X_1348))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1098,implies(X_1100,X_1099)),X_1101),implies(X_1095,implies(X_1099,X_1101))),X_1096),implies(X_6,implies(X_1097,X_1096)))) )],[refute_0_110,refute_0_114]) ).
cnf(refute_0_116,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_1353,X_1352),X_1352),implies(X_1352,implies(X_1354,X_1352))))),
inference(subst,[],[refute_0_115:[bind(X_1346,$fot(implies(X_2,X_3))),bind(X_1348,$fot(X_1352)),bind(X_1349,$fot(X_1353)),bind(X_1350,$fot(X_1354))]]) ).
cnf(refute_0_117,plain,
is_a_theorem(implies(implies(implies(X_1352,implies(X_1354,X_1352)),X_2),implies(X_6,implies(implies(implies(X_1353,X_1352),X_1352),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_1353,X_1352),X_1352),implies(X_1352,implies(X_1354,X_1352))))) )],[refute_0_116,refute_0_81]) ).
cnf(refute_0_118,plain,
is_a_theorem(implies(implies(implies(X_1355,implies(X_1357,X_1355)),X_1358),implies(X_1359,implies(implies(implies(X_1356,X_1355),X_1355),X_1358)))),
inference(subst,[],[refute_0_117:[bind(X_1352,$fot(X_1355)),bind(X_1353,$fot(X_1356)),bind(X_1354,$fot(X_1357)),bind(X_2,$fot(X_1358)),bind(X_6,$fot(X_1359))]]) ).
cnf(refute_0_119,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1356,X_1355),X_1355),X_1358),implies(X_1355,implies(X_1357,X_1355))),implies(X_6,implies(X_1359,implies(X_1355,implies(X_1357,X_1355)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1355,implies(X_1357,X_1355)),X_1358),implies(X_1359,implies(implies(implies(X_1356,X_1355),X_1355),X_1358)))) )],[refute_0_118,refute_0_80]) ).
cnf(refute_0_120,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1356,X_1983),X_1983),X_1983),implies(X_1983,implies(X_1985,X_1983))),implies(X_6,implies(X_1359,implies(X_1983,implies(X_1985,X_1983)))))),
inference(subst,[],[refute_0_119:[bind(X_1355,$fot(X_1983)),bind(X_1357,$fot(X_1985)),bind(X_1358,$fot(X_1983))]]) ).
cnf(refute_0_121,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_207,X_206),X_206),implies(X_206,implies(X_208,X_206))),X_209))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X_207,X_206),X_206),implies(X_206,implies(X_208,X_206))),X_209),implies(X_210,implies(X_205,X_209))))
| is_a_theorem(implies(X_210,implies(X_205,X_209))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_207,X_206),X_206),implies(X_206,implies(X_208,X_206))),X_209))),bind(Y,$fot(implies(X_210,implies(X_205,X_209))))]]) ).
cnf(refute_0_122,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_207,X_206),X_206),implies(X_206,implies(X_208,X_206))),X_209),implies(X_210,implies(X_205,X_209)))),
inference(subst,[],[refute_0_91:[bind(X_194,$fot(X_205)),bind(X_196,$fot(X_206)),bind(X_197,$fot(X_207)),bind(X_198,$fot(X_208)),bind(X_2,$fot(X_209)),bind(X_6,$fot(X_210))]]) ).
cnf(refute_0_123,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_207,X_206),X_206),implies(X_206,implies(X_208,X_206))),X_209))
| is_a_theorem(implies(X_210,implies(X_205,X_209))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_207,X_206),X_206),implies(X_206,implies(X_208,X_206))),X_209),implies(X_210,implies(X_205,X_209)))) )],[refute_0_122,refute_0_121]) ).
cnf(refute_0_124,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1356,X_1983),X_1983),X_1983),implies(X_1983,implies(X_1985,X_1983))),implies(X_6,implies(X_1359,implies(X_1983,implies(X_1985,X_1983))))))
| is_a_theorem(implies(X_1987,implies(X_1982,implies(X_6,implies(X_1359,implies(X_1983,implies(X_1985,X_1983))))))) ),
inference(subst,[],[refute_0_123:[bind(X_205,$fot(X_1982)),bind(X_206,$fot(X_1983)),bind(X_207,$fot(implies(X_1356,X_1983))),bind(X_208,$fot(X_1985)),bind(X_209,$fot(implies(X_6,implies(X_1359,implies(X_1983,implies(X_1985,X_1983)))))),bind(X_210,$fot(X_1987))]]) ).
cnf(refute_0_125,plain,
is_a_theorem(implies(X_1987,implies(X_1982,implies(X_6,implies(X_1359,implies(X_1983,implies(X_1985,X_1983))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1356,X_1983),X_1983),X_1983),implies(X_1983,implies(X_1985,X_1983))),implies(X_6,implies(X_1359,implies(X_1983,implies(X_1985,X_1983)))))) )],[refute_0_120,refute_0_124]) ).
cnf(refute_0_126,plain,
is_a_theorem(implies(X_2004,implies(X_2001,implies(X_2005,implies(X_2000,implies(X_2002,implies(X_2003,X_2002))))))),
inference(subst,[],[refute_0_125:[bind(X_1359,$fot(X_2000)),bind(X_1982,$fot(X_2001)),bind(X_1983,$fot(X_2002)),bind(X_1985,$fot(X_2003)),bind(X_1987,$fot(X_2004)),bind(X_6,$fot(X_2005))]]) ).
cnf(refute_0_127,plain,
( ~ is_a_theorem(X_2004)
| is_a_theorem(implies(X_2001,implies(X_2005,implies(X_2000,implies(X_2002,implies(X_2003,X_2002)))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2004,implies(X_2001,implies(X_2005,implies(X_2000,implies(X_2002,implies(X_2003,X_2002))))))) )],[refute_0_126,refute_0_79]) ).
cnf(refute_0_128,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))
| is_a_theorem(implies(X_8586,implies(X_8590,implies(X_8585,implies(X_8587,implies(X_8588,X_8587)))))) ),
inference(subst,[],[refute_0_127:[bind(X_2000,$fot(X_8585)),bind(X_2001,$fot(X_8586)),bind(X_2002,$fot(X_8587)),bind(X_2003,$fot(X_8588)),bind(X_2004,$fot(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))),bind(X_2005,$fot(X_8590))]]) ).
cnf(refute_0_129,plain,
is_a_theorem(implies(X_8586,implies(X_8590,implies(X_8585,implies(X_8587,implies(X_8588,X_8587)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) )],[refute_0_73,refute_0_128]) ).
cnf(refute_0_130,plain,
is_a_theorem(implies(X_8592,implies(X_8595,implies(X_8591,implies(X_8593,implies(X_8594,X_8593)))))),
inference(subst,[],[refute_0_129:[bind(X_8585,$fot(X_8591)),bind(X_8586,$fot(X_8592)),bind(X_8587,$fot(X_8593)),bind(X_8588,$fot(X_8594)),bind(X_8590,$fot(X_8595))]]) ).
cnf(refute_0_131,plain,
( ~ is_a_theorem(X_8592)
| is_a_theorem(implies(X_8595,implies(X_8591,implies(X_8593,implies(X_8594,X_8593))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_8592,implies(X_8595,implies(X_8591,implies(X_8593,implies(X_8594,X_8593)))))) )],[refute_0_130,refute_0_78]) ).
cnf(refute_0_132,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))
| is_a_theorem(implies(X_8629,implies(X_8625,implies(X_8627,implies(X_8628,X_8627))))) ),
inference(subst,[],[refute_0_131:[bind(X_8591,$fot(X_8625)),bind(X_8592,$fot(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))),bind(X_8593,$fot(X_8627)),bind(X_8594,$fot(X_8628)),bind(X_8595,$fot(X_8629))]]) ).
cnf(refute_0_133,plain,
is_a_theorem(implies(X_8629,implies(X_8625,implies(X_8627,implies(X_8628,X_8627))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) )],[refute_0_73,refute_0_132]) ).
cnf(refute_0_134,plain,
is_a_theorem(implies(X_8633,implies(X_8630,implies(X_8631,implies(X_8632,X_8631))))),
inference(subst,[],[refute_0_133:[bind(X_8625,$fot(X_8630)),bind(X_8627,$fot(X_8631)),bind(X_8628,$fot(X_8632)),bind(X_8629,$fot(X_8633))]]) ).
cnf(refute_0_135,plain,
( ~ is_a_theorem(X_8633)
| is_a_theorem(implies(X_8630,implies(X_8631,implies(X_8632,X_8631)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_8633,implies(X_8630,implies(X_8631,implies(X_8632,X_8631))))) )],[refute_0_134,refute_0_77]) ).
cnf(refute_0_136,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))
| is_a_theorem(implies(X_8634,implies(X_8635,implies(X_8636,X_8635)))) ),
inference(subst,[],[refute_0_135:[bind(X_8630,$fot(X_8634)),bind(X_8631,$fot(X_8635)),bind(X_8632,$fot(X_8636)),bind(X_8633,$fot(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))))]]) ).
cnf(refute_0_137,plain,
is_a_theorem(implies(X_8634,implies(X_8635,implies(X_8636,X_8635)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) )],[refute_0_73,refute_0_136]) ).
cnf(refute_0_138,plain,
is_a_theorem(implies(X_8638,implies(X_8639,implies(X_8640,X_8639)))),
inference(subst,[],[refute_0_137:[bind(X_8634,$fot(X_8638)),bind(X_8635,$fot(X_8639)),bind(X_8636,$fot(X_8640))]]) ).
cnf(refute_0_139,plain,
( ~ is_a_theorem(X_8638)
| is_a_theorem(implies(X_8639,implies(X_8640,X_8639))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_8638,implies(X_8639,implies(X_8640,X_8639)))) )],[refute_0_138,refute_0_76]) ).
cnf(refute_0_140,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))
| is_a_theorem(implies(X_8642,implies(X_8643,X_8642))) ),
inference(subst,[],[refute_0_139:[bind(X_8638,$fot(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))),bind(X_8639,$fot(X_8642)),bind(X_8640,$fot(X_8643))]]) ).
cnf(refute_0_141,plain,
is_a_theorem(implies(X_8642,implies(X_8643,X_8642))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) )],[refute_0_73,refute_0_140]) ).
cnf(refute_0_142,plain,
is_a_theorem(implies(X_8853,implies(X_8643,X_8853))),
inference(subst,[],[refute_0_141:[bind(X_8642,$fot(X_8853))]]) ).
cnf(refute_0_143,plain,
( ~ is_a_theorem(implies(X_8851,X_8852))
| ~ is_a_theorem(implies(implies(X_8851,X_8852),implies(X_8852,X_8852)))
| is_a_theorem(implies(X_8852,X_8852)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_8851,X_8852))),bind(Y,$fot(implies(X_8852,X_8852)))]]) ).
cnf(refute_0_144,plain,
( ~ is_a_theorem(X_8838)
| ~ is_a_theorem(implies(X_8838,implies(implies(X_8836,X_8837),implies(X_8837,X_8837))))
| is_a_theorem(implies(implies(X_8836,X_8837),implies(X_8837,X_8837))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_8838)),bind(Y,$fot(implies(implies(X_8836,X_8837),implies(X_8837,X_8837))))]]) ).
cnf(refute_0_145,plain,
( ~ is_a_theorem(X_8656)
| ~ is_a_theorem(implies(X_8656,implies(X_8655,implies(implies(X_8653,X_8654),implies(X_8654,X_8654)))))
| is_a_theorem(implies(X_8655,implies(implies(X_8653,X_8654),implies(X_8654,X_8654)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_8656)),bind(Y,$fot(implies(X_8655,implies(implies(X_8653,X_8654),implies(X_8654,X_8654)))))]]) ).
cnf(refute_0_146,plain,
( ~ is_a_theorem(implies(implies(X_360,X_362),implies(implies(X_359,X_361),implies(X_361,X_360))))
| ~ is_a_theorem(implies(implies(implies(X_360,X_362),implies(implies(X_359,X_361),implies(X_361,X_360))),implies(X_364,implies(X_363,implies(implies(X_359,X_361),implies(X_361,X_360))))))
| is_a_theorem(implies(X_364,implies(X_363,implies(implies(X_359,X_361),implies(X_361,X_360))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_360,X_362),implies(implies(X_359,X_361),implies(X_361,X_360))))),bind(Y,$fot(implies(X_364,implies(X_363,implies(implies(X_359,X_361),implies(X_361,X_360))))))]]) ).
cnf(refute_0_147,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),X_115),implies(X_116,implies(X_113,X_115))))
| is_a_theorem(implies(implies(implies(X_113,X_115),implies(implies(X_112,X_114),implies(X_114,X_113))),implies(X_6,implies(X_116,implies(implies(X_112,X_114),implies(X_114,X_113)))))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(X_112,X_114),implies(X_114,X_113)))),bind(X_3,$fot(X_115)),bind(X_4,$fot(X_116)),bind(X_5,$fot(implies(X_113,X_115)))]]) ).
cnf(refute_0_148,plain,
is_a_theorem(implies(implies(implies(X_113,X_115),implies(implies(X_112,X_114),implies(X_114,X_113))),implies(X_6,implies(X_116,implies(implies(X_112,X_114),implies(X_114,X_113)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_112,X_114),implies(X_114,X_113)),X_115),implies(X_116,implies(X_113,X_115)))) )],[refute_0_44,refute_0_147]) ).
cnf(refute_0_149,plain,
is_a_theorem(implies(implies(implies(X_360,X_362),implies(implies(X_359,X_361),implies(X_361,X_360))),implies(X_364,implies(X_363,implies(implies(X_359,X_361),implies(X_361,X_360)))))),
inference(subst,[],[refute_0_148:[bind(X_112,$fot(X_359)),bind(X_113,$fot(X_360)),bind(X_114,$fot(X_361)),bind(X_115,$fot(X_362)),bind(X_116,$fot(X_363)),bind(X_6,$fot(X_364))]]) ).
cnf(refute_0_150,plain,
( ~ is_a_theorem(implies(implies(X_360,X_362),implies(implies(X_359,X_361),implies(X_361,X_360))))
| is_a_theorem(implies(X_364,implies(X_363,implies(implies(X_359,X_361),implies(X_361,X_360))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_360,X_362),implies(implies(X_359,X_361),implies(X_361,X_360))),implies(X_364,implies(X_363,implies(implies(X_359,X_361),implies(X_361,X_360)))))) )],[refute_0_149,refute_0_146]) ).
cnf(refute_0_151,plain,
( ~ is_a_theorem(implies(implies(X_362,X_362),implies(implies(X_359,X_362),implies(X_362,X_362))))
| is_a_theorem(implies(X_364,implies(X_363,implies(implies(X_359,X_362),implies(X_362,X_362))))) ),
inference(subst,[],[refute_0_150:[bind(X_360,$fot(X_362)),bind(X_361,$fot(X_362))]]) ).
cnf(refute_0_152,plain,
is_a_theorem(implies(implies(X_362,X_362),implies(implies(X_359,X_362),implies(X_362,X_362)))),
inference(subst,[],[refute_0_141:[bind(X_8642,$fot(implies(X_362,X_362))),bind(X_8643,$fot(implies(X_359,X_362)))]]) ).
cnf(refute_0_153,plain,
is_a_theorem(implies(X_364,implies(X_363,implies(implies(X_359,X_362),implies(X_362,X_362))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_362,X_362),implies(implies(X_359,X_362),implies(X_362,X_362)))) )],[refute_0_152,refute_0_151]) ).
cnf(refute_0_154,plain,
is_a_theorem(implies(X_8656,implies(X_8655,implies(implies(X_8653,X_8654),implies(X_8654,X_8654))))),
inference(subst,[],[refute_0_153:[bind(X_359,$fot(X_8653)),bind(X_362,$fot(X_8654)),bind(X_363,$fot(X_8655)),bind(X_364,$fot(X_8656))]]) ).
cnf(refute_0_155,plain,
( ~ is_a_theorem(X_8656)
| is_a_theorem(implies(X_8655,implies(implies(X_8653,X_8654),implies(X_8654,X_8654)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_8656,implies(X_8655,implies(implies(X_8653,X_8654),implies(X_8654,X_8654))))) )],[refute_0_154,refute_0_145]) ).
cnf(refute_0_156,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))
| is_a_theorem(implies(X_8834,implies(implies(X_8832,X_8833),implies(X_8833,X_8833)))) ),
inference(subst,[],[refute_0_155:[bind(X_8653,$fot(X_8832)),bind(X_8654,$fot(X_8833)),bind(X_8655,$fot(X_8834)),bind(X_8656,$fot(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))))]]) ).
cnf(refute_0_157,plain,
is_a_theorem(implies(X_8834,implies(implies(X_8832,X_8833),implies(X_8833,X_8833)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) )],[refute_0_73,refute_0_156]) ).
cnf(refute_0_158,plain,
is_a_theorem(implies(X_8838,implies(implies(X_8836,X_8837),implies(X_8837,X_8837)))),
inference(subst,[],[refute_0_157:[bind(X_8832,$fot(X_8836)),bind(X_8833,$fot(X_8837)),bind(X_8834,$fot(X_8838))]]) ).
cnf(refute_0_159,plain,
( ~ is_a_theorem(X_8838)
| is_a_theorem(implies(implies(X_8836,X_8837),implies(X_8837,X_8837))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_8838,implies(implies(X_8836,X_8837),implies(X_8837,X_8837)))) )],[refute_0_158,refute_0_144]) ).
cnf(refute_0_160,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))
| is_a_theorem(implies(implies(X_8848,X_8849),implies(X_8849,X_8849))) ),
inference(subst,[],[refute_0_159:[bind(X_8836,$fot(X_8848)),bind(X_8837,$fot(X_8849)),bind(X_8838,$fot(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))))]]) ).
cnf(refute_0_161,plain,
is_a_theorem(implies(implies(X_8848,X_8849),implies(X_8849,X_8849))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) )],[refute_0_73,refute_0_160]) ).
cnf(refute_0_162,plain,
is_a_theorem(implies(implies(X_8851,X_8852),implies(X_8852,X_8852))),
inference(subst,[],[refute_0_161:[bind(X_8848,$fot(X_8851)),bind(X_8849,$fot(X_8852))]]) ).
cnf(refute_0_163,plain,
( ~ is_a_theorem(implies(X_8851,X_8852))
| is_a_theorem(implies(X_8852,X_8852)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8851,X_8852),implies(X_8852,X_8852))) )],[refute_0_162,refute_0_143]) ).
cnf(refute_0_164,plain,
( ~ is_a_theorem(implies(X_8853,implies(X_8643,X_8853)))
| is_a_theorem(implies(implies(X_8643,X_8853),implies(X_8643,X_8853))) ),
inference(subst,[],[refute_0_163:[bind(X_8851,$fot(X_8853)),bind(X_8852,$fot(implies(X_8643,X_8853)))]]) ).
cnf(refute_0_165,plain,
is_a_theorem(implies(implies(X_8643,X_8853),implies(X_8643,X_8853))),
inference(resolve,[$cnf( is_a_theorem(implies(X_8853,implies(X_8643,X_8853))) )],[refute_0_142,refute_0_164]) ).
cnf(refute_0_166,plain,
is_a_theorem(implies(implies(X_8902,X_8902),implies(X_8902,X_8902))),
inference(subst,[],[refute_0_165:[bind(X_8643,$fot(X_8902)),bind(X_8853,$fot(X_8902))]]) ).
cnf(refute_0_167,plain,
( ~ is_a_theorem(implies(implies(X_8887,X_8887),X_8888))
| ~ is_a_theorem(implies(implies(implies(X_8887,X_8887),X_8888),implies(X_8885,implies(X_8886,X_8888))))
| is_a_theorem(implies(X_8885,implies(X_8886,X_8888))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_8887,X_8887),X_8888))),bind(Y,$fot(implies(X_8885,implies(X_8886,X_8888))))]]) ).
cnf(refute_0_168,plain,
( ~ is_a_theorem(implies(implies(X_8859,X_8858),implies(X_8857,implies(X_8858,X_8858))))
| is_a_theorem(implies(implies(implies(X_8858,X_8858),X_8859),implies(X_6,implies(X_8857,X_8859)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_8859)),bind(X_3,$fot(X_8858)),bind(X_4,$fot(X_8857)),bind(X_5,$fot(implies(X_8858,X_8858)))]]) ).
cnf(refute_0_169,plain,
( ~ is_a_theorem(implies(implies(X_8855,X_8856),implies(X_8855,X_8856)))
| is_a_theorem(implies(implies(X_8856,X_8855),implies(X_6,implies(X_8855,X_8855)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_8855)),bind(X_3,$fot(X_8856)),bind(X_4,$fot(X_8855)),bind(X_5,$fot(X_8856))]]) ).
cnf(refute_0_170,plain,
is_a_theorem(implies(implies(X_8855,X_8856),implies(X_8855,X_8856))),
inference(subst,[],[refute_0_165:[bind(X_8643,$fot(X_8855)),bind(X_8853,$fot(X_8856))]]) ).
cnf(refute_0_171,plain,
is_a_theorem(implies(implies(X_8856,X_8855),implies(X_6,implies(X_8855,X_8855)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8855,X_8856),implies(X_8855,X_8856))) )],[refute_0_170,refute_0_169]) ).
cnf(refute_0_172,plain,
is_a_theorem(implies(implies(X_8859,X_8858),implies(X_8857,implies(X_8858,X_8858)))),
inference(subst,[],[refute_0_171:[bind(X_6,$fot(X_8857)),bind(X_8855,$fot(X_8858)),bind(X_8856,$fot(X_8859))]]) ).
cnf(refute_0_173,plain,
is_a_theorem(implies(implies(implies(X_8858,X_8858),X_8859),implies(X_6,implies(X_8857,X_8859)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8859,X_8858),implies(X_8857,implies(X_8858,X_8858)))) )],[refute_0_172,refute_0_168]) ).
cnf(refute_0_174,plain,
is_a_theorem(implies(implies(implies(X_8887,X_8887),X_8888),implies(X_8885,implies(X_8886,X_8888)))),
inference(subst,[],[refute_0_173:[bind(X_6,$fot(X_8885)),bind(X_8857,$fot(X_8886)),bind(X_8858,$fot(X_8887)),bind(X_8859,$fot(X_8888))]]) ).
cnf(refute_0_175,plain,
( ~ is_a_theorem(implies(implies(X_8887,X_8887),X_8888))
| is_a_theorem(implies(X_8885,implies(X_8886,X_8888))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_8887,X_8887),X_8888),implies(X_8885,implies(X_8886,X_8888)))) )],[refute_0_174,refute_0_167]) ).
cnf(refute_0_176,plain,
( ~ is_a_theorem(implies(implies(X_8902,X_8902),implies(X_8902,X_8902)))
| is_a_theorem(implies(X_8900,implies(X_8901,implies(X_8902,X_8902)))) ),
inference(subst,[],[refute_0_175:[bind(X_8885,$fot(X_8900)),bind(X_8886,$fot(X_8901)),bind(X_8887,$fot(X_8902)),bind(X_8888,$fot(implies(X_8902,X_8902)))]]) ).
cnf(refute_0_177,plain,
is_a_theorem(implies(X_8900,implies(X_8901,implies(X_8902,X_8902)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8902,X_8902),implies(X_8902,X_8902))) )],[refute_0_166,refute_0_176]) ).
cnf(refute_0_178,plain,
is_a_theorem(implies(X_8904,implies(X_8905,implies(X_8906,X_8906)))),
inference(subst,[],[refute_0_177:[bind(X_8900,$fot(X_8904)),bind(X_8901,$fot(X_8905)),bind(X_8902,$fot(X_8906))]]) ).
cnf(refute_0_179,plain,
( ~ is_a_theorem(X_8904)
| is_a_theorem(implies(X_8905,implies(X_8906,X_8906))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_8904,implies(X_8905,implies(X_8906,X_8906)))) )],[refute_0_178,refute_0_75]) ).
cnf(refute_0_180,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))
| is_a_theorem(implies(X_8912,implies(X_8913,X_8913))) ),
inference(subst,[],[refute_0_179:[bind(X_8904,$fot(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))),bind(X_8905,$fot(X_8912)),bind(X_8906,$fot(X_8913))]]) ).
cnf(refute_0_181,plain,
is_a_theorem(implies(X_8912,implies(X_8913,X_8913))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) )],[refute_0_73,refute_0_180]) ).
cnf(refute_0_182,plain,
is_a_theorem(implies(X_8914,implies(X_8915,X_8915))),
inference(subst,[],[refute_0_181:[bind(X_8912,$fot(X_8914)),bind(X_8913,$fot(X_8915))]]) ).
cnf(refute_0_183,plain,
( ~ is_a_theorem(X_8914)
| is_a_theorem(implies(X_8915,X_8915)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_8914,implies(X_8915,X_8915))) )],[refute_0_182,refute_0_74]) ).
cnf(refute_0_184,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))
| is_a_theorem(implies(X_8917,X_8917)) ),
inference(subst,[],[refute_0_183:[bind(X_8914,$fot(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257))))),bind(X_8915,$fot(X_8917))]]) ).
cnf(refute_0_185,plain,
is_a_theorem(implies(X_8917,X_8917)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_4273,X_4274),X_4273),implies(X_4276,implies(implies(X_4275,X_4273),X_4273))),X_4271),implies(X_4277,implies(X_4272,X_4271))),X_2257),implies(X_2256,implies(X_2259,X_2257)))) )],[refute_0_73,refute_0_184]) ).
cnf(refute_0_186,plain,
is_a_theorem(implies(a,a)),
inference(subst,[],[refute_0_185:[bind(X_8917,$fot(a))]]) ).
cnf(refute_0_187,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(a,a)) )],[refute_0_186,prove_ic_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL090-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 2 22:34:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 7.23/7.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.23/7.46
% 7.23/7.46 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.32/7.49
%------------------------------------------------------------------------------