TSTP Solution File: LCL093-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 12:49:25 EDT 2022
% Result : Unsatisfiable 75.17s 75.39s
% Output : CNFRefutation 75.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 143
% Number of leaves : 3
% Syntax : Number of clauses : 651 ( 362 unt; 0 nHn; 130 RR)
% Number of literals : 1002 ( 0 equ; 352 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 3206 (1113 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_4,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(X_6374,implies(X_6375,implies(X_6374,X_6373))))
| ~ is_a_theorem(implies(implies(X_6374,implies(X_6375,implies(X_6374,X_6373))),implies(X_6375,implies(X_6374,X_6373))))
| is_a_theorem(implies(X_6375,implies(X_6374,X_6373))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_6374,implies(X_6375,implies(X_6374,X_6373))))),bind(Y,$fot(implies(X_6375,implies(X_6374,X_6373))))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(implies(X_5963,X_5963),X_5962))
| ~ is_a_theorem(implies(implies(implies(X_5963,X_5963),X_5962),X_5962))
| is_a_theorem(X_5962) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_5963,X_5963),X_5962))),bind(Y,$fot(X_5962))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(implies(X_5929,X_5928),X_5929))
| ~ is_a_theorem(implies(implies(implies(X_5929,X_5928),X_5929),implies(implies(X_5929,X_5928),X_5928)))
| is_a_theorem(implies(implies(X_5929,X_5928),X_5928)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_5929,X_5928),X_5929))),bind(Y,$fot(implies(implies(X_5929,X_5928),X_5928)))]]) ).
cnf(refute_0_3,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_4,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,$fot(X_6))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4,X_5)))
| is_a_theorem(implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))) ),
inference(resolve,[$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_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_3211,implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_3211)),bind(X_5,$fot(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207)))))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))))
| ~ 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(X_24,implies(X_23,implies(X_22,implies(X_20,X_18))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))))),bind(Y,$fot(implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18))))))]]) ).
cnf(refute_0_8,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_5:[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_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_5:[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(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,[$cnf( is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))) )],[refute_0_11,refute_0_8]) ).
cnf(refute_0_13,plain,
is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18)))))),
inference(subst,[],[refute_0_12:[bind(X_12,$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_14,plain,
( ~ is_a_theorem(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))))
| is_a_theorem(implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18)))))) )],[refute_0_13,refute_0_7]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),implies(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),X_1201),implies(X_1200,implies(X_1203,X_1201)))))
| is_a_theorem(implies(X_24,implies(X_23,implies(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),X_1201),implies(X_1200,implies(X_1203,X_1201)))))) ),
inference(subst,[],[refute_0_14:[bind(X_18,$fot(implies(X_1203,X_1201))),bind(X_20,$fot(X_1200)),bind(X_22,$fot(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),X_1201)))]]) ).
cnf(refute_0_16,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_678,implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681))),X_2),implies(X_6,implies(X_678,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_678)),bind(X_5,$fot(implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681)))))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(implies(X_303,implies(X_302,X_301)))
| ~ is_a_theorem(implies(implies(X_303,implies(X_302,X_301)),implies(X_304,implies(X_305,implies(X_303,implies(X_302,X_301))))))
| is_a_theorem(implies(X_304,implies(X_305,implies(X_303,implies(X_302,X_301))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_303,implies(X_302,X_301)))),bind(Y,$fot(implies(X_304,implies(X_305,implies(X_303,implies(X_302,X_301))))))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_246,implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))))))
| is_a_theorem(implies(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2),implies(X_6,implies(X_246,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_246)),bind(X_5,$fot(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249))))))))]]) ).
cnf(refute_0_19,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_20,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,[$cnf( is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))) )],[refute_0_11,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(implies(implies(X_98,implies(X_99,implies(X_96,X_97))),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))))))
| is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_96,X_97)),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))))))) ),
inference(subst,[],[refute_0_20:[bind(X_12,$fot(implies(X_96,X_97))),bind(X_13,$fot(implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))))),bind(X_14,$fot(X_99)),bind(X_16,$fot(X_98))]]) ).
cnf(refute_0_22,plain,
( ~ is_a_theorem(implies(X_62,X_60))
| ~ is_a_theorem(implies(implies(X_62,X_60),implies(X_60,implies(implies(X_59,X_61),implies(X_61,X_60)))))
| is_a_theorem(implies(X_60,implies(implies(X_59,X_61),implies(X_61,X_60)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_62,X_60))),bind(Y,$fot(implies(X_60,implies(implies(X_59,X_61),implies(X_61,X_60)))))]]) ).
cnf(refute_0_23,plain,
( ~ is_a_theorem(X_41)
| ~ is_a_theorem(implies(X_41,implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))))
| is_a_theorem(implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_41)),bind(Y,$fot(implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))))]]) ).
cnf(refute_0_24,plain,
is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25))))),
inference(subst,[],[refute_0_10:[bind(P,$fot(X_27)),bind(Q,$fot(X_25)),bind(X_11,$fot(X_25))]]) ).
cnf(refute_0_25,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_20:[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_26,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,[$cnf( is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25))))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
is_a_theorem(implies(X_41,implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38)))))),
inference(subst,[],[refute_0_26:[bind(S,$fot(X_37)),bind(X_25,$fot(X_38)),bind(X_27,$fot(X_39)),bind(X_28,$fot(X_40)),bind(X_30,$fot(X_41))]]) ).
cnf(refute_0_28,plain,
( ~ is_a_theorem(X_41)
| is_a_theorem(implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_41,implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38)))))) )],[refute_0_27,refute_0_23]) ).
cnf(refute_0_29,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12))))))
| is_a_theorem(implies(implies(X_57,X_55),implies(X_55,implies(implies(X_54,X_56),implies(X_56,X_55))))) ),
inference(subst,[],[refute_0_28:[bind(X_37,$fot(X_54)),bind(X_38,$fot(X_55)),bind(X_39,$fot(X_56)),bind(X_40,$fot(X_57)),bind(X_41,$fot(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)))))))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(implies(X_57,X_55),implies(X_55,implies(implies(X_54,X_56),implies(X_56,X_55))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12)))))) )],[refute_0_12,refute_0_29]) ).
cnf(refute_0_31,plain,
is_a_theorem(implies(implies(X_62,X_60),implies(X_60,implies(implies(X_59,X_61),implies(X_61,X_60))))),
inference(subst,[],[refute_0_30:[bind(X_54,$fot(X_59)),bind(X_55,$fot(X_60)),bind(X_56,$fot(X_61)),bind(X_57,$fot(X_62))]]) ).
cnf(refute_0_32,plain,
( ~ is_a_theorem(implies(X_62,X_60))
| is_a_theorem(implies(X_60,implies(implies(X_59,X_61),implies(X_61,X_60)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_62,X_60),implies(X_60,implies(implies(X_59,X_61),implies(X_61,X_60))))) )],[refute_0_31,refute_0_22]) ).
cnf(refute_0_33,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71),implies(X_68,implies(X_69,X_71))))
| is_a_theorem(implies(implies(X_68,implies(X_69,X_71)),implies(implies(X_59,X_61),implies(X_61,implies(X_68,implies(X_69,X_71)))))) ),
inference(subst,[],[refute_0_32:[bind(X_60,$fot(implies(X_68,implies(X_69,X_71)))),bind(X_62,$fot(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71)))]]) ).
cnf(refute_0_34,plain,
( ~ is_a_theorem(implies(implies(X_62,X_60),implies(X_60,implies(implies(X_59,X_61),implies(X_61,X_60)))))
| is_a_theorem(implies(implies(implies(implies(X_59,X_61),implies(X_61,X_60)),X_62),implies(X_6,implies(X_60,X_62)))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_62)),bind(X_3,$fot(X_60)),bind(X_4,$fot(X_60)),bind(X_5,$fot(implies(implies(X_59,X_61),implies(X_61,X_60))))]]) ).
cnf(refute_0_35,plain,
is_a_theorem(implies(implies(implies(implies(X_59,X_61),implies(X_61,X_60)),X_62),implies(X_6,implies(X_60,X_62)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_62,X_60),implies(X_60,implies(implies(X_59,X_61),implies(X_61,X_60))))) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71),implies(X_68,implies(X_69,X_71)))),
inference(subst,[],[refute_0_35:[bind(X_59,$fot(X_67)),bind(X_6,$fot(X_68)),bind(X_60,$fot(X_69)),bind(X_61,$fot(X_70)),bind(X_62,$fot(X_71))]]) ).
cnf(refute_0_37,plain,
is_a_theorem(implies(implies(X_68,implies(X_69,X_71)),implies(implies(X_59,X_61),implies(X_61,implies(X_68,implies(X_69,X_71)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71),implies(X_68,implies(X_69,X_71)))) )],[refute_0_36,refute_0_33]) ).
cnf(refute_0_38,plain,
is_a_theorem(implies(implies(X_98,implies(X_99,implies(X_96,X_97))),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))))),
inference(subst,[],[refute_0_37:[bind(X_59,$fot(X_96)),bind(X_61,$fot(X_97)),bind(X_68,$fot(X_98)),bind(X_69,$fot(X_99)),bind(X_71,$fot(implies(X_96,X_97)))]]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_96,X_97)),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_98,implies(X_99,implies(X_96,X_97))),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))))) )],[refute_0_38,refute_0_21]) ).
cnf(refute_0_40,plain,
is_a_theorem(implies(implies(implies(X_213,implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))),implies(implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))),X_211)),implies(implies(X_15,implies(X_96,X_97)),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))))))),
inference(subst,[],[refute_0_39:[bind(X_17,$fot(implies(implies(X_213,implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))),implies(implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))),X_211))))]]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(implies(implies(implies(X_213,implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))),implies(implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))),X_211)),implies(implies(X_15,implies(X_96,X_97)),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))))))
| is_a_theorem(implies(X_216,implies(X_215,implies(implies(X_15,implies(X_96,X_97)),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))))))) ),
inference(subst,[],[refute_0_14:[bind(X_18,$fot(implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))))),bind(X_19,$fot(X_211)),bind(X_20,$fot(implies(X_96,X_97))),bind(X_21,$fot(X_213)),bind(X_22,$fot(implies(X_15,implies(X_96,X_97)))),bind(X_23,$fot(X_215)),bind(X_24,$fot(X_216))]]) ).
cnf(refute_0_42,plain,
is_a_theorem(implies(X_216,implies(X_215,implies(implies(X_15,implies(X_96,X_97)),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_213,implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97))))),implies(implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))),X_211)),implies(implies(X_15,implies(X_96,X_97)),implies(implies(X_96,X_97),implies(X_97,implies(X_98,implies(X_99,implies(X_96,X_97)))))))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_246,implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249))))))))),
inference(subst,[],[refute_0_42:[bind(X_15,$fot(X_245)),bind(X_215,$fot(X_246)),bind(X_216,$fot(implies(X_2,X_3))),bind(X_96,$fot(X_248)),bind(X_97,$fot(X_249)),bind(X_98,$fot(X_250)),bind(X_99,$fot(X_251))]]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2),implies(X_6,implies(X_246,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_246,implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249))))))))) )],[refute_0_43,refute_0_18]) ).
cnf(refute_0_45,plain,
is_a_theorem(implies(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2),implies(X_297,implies(X_246,X_2)))),
inference(subst,[],[refute_0_44:[bind(X_6,$fot(X_297))]]) ).
cnf(refute_0_46,plain,
( ~ is_a_theorem(implies(X_189,implies(X_186,X_185)))
| ~ is_a_theorem(implies(implies(X_189,implies(X_186,X_185)),implies(implies(X_186,X_185),implies(X_187,implies(X_188,implies(X_186,X_185))))))
| is_a_theorem(implies(implies(X_186,X_185),implies(X_187,implies(X_188,implies(X_186,X_185))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_189,implies(X_186,X_185)))),bind(Y,$fot(implies(implies(X_186,X_185),implies(X_187,implies(X_188,implies(X_186,X_185))))))]]) ).
cnf(refute_0_47,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_135,implies(X_141,implies(X_138,X_137))),implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137))))))))
| is_a_theorem(implies(implies(implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137))))),X_2),implies(X_6,implies(implies(X_135,implies(X_141,implies(X_138,X_137))),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(X_135,implies(X_141,implies(X_138,X_137))))),bind(X_5,$fot(implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137)))))))]]) ).
cnf(refute_0_48,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_35,implies(X_32,X_31)))),implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31)))))))
| is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_35,implies(X_32,X_31))),implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31)))))))) ),
inference(subst,[],[refute_0_20:[bind(X_12,$fot(implies(X_35,implies(X_32,X_31)))),bind(X_13,$fot(implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31))))))]]) ).
cnf(refute_0_49,plain,
is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_27,implies(X_14,X_12))),implies(implies(X_14,X_12),implies(X_17,implies(X_27,implies(X_14,X_12)))))),
inference(subst,[],[refute_0_12:[bind(X_16,$fot(X_27)),bind(X_6,$fot(implies(X_14,X_12)))]]) ).
cnf(refute_0_50,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_27,implies(X_14,X_12))),implies(implies(X_14,X_12),implies(X_17,implies(X_27,implies(X_14,X_12))))))
| is_a_theorem(implies(X_30,implies(implies(X_28,implies(X_14,X_12)),implies(implies(X_14,X_12),implies(X_17,implies(X_27,implies(X_14,X_12))))))) ),
inference(subst,[],[refute_0_20:[bind(X_12,$fot(implies(X_14,X_12))),bind(X_13,$fot(implies(X_17,implies(X_27,implies(X_14,X_12))))),bind(X_14,$fot(X_27)),bind(X_15,$fot(X_28)),bind(X_16,$fot(implies(implies(X_15,X_12),implies(X_12,X_13)))),bind(X_17,$fot(X_30))]]) ).
cnf(refute_0_51,plain,
is_a_theorem(implies(X_30,implies(implies(X_28,implies(X_14,X_12)),implies(implies(X_14,X_12),implies(X_17,implies(X_27,implies(X_14,X_12))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_27,implies(X_14,X_12))),implies(implies(X_14,X_12),implies(X_17,implies(X_27,implies(X_14,X_12)))))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_35,implies(X_32,X_31)))),implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31))))))),
inference(subst,[],[refute_0_51:[bind(X_12,$fot(X_31)),bind(X_14,$fot(X_32)),bind(X_17,$fot(X_33)),bind(X_27,$fot(X_34)),bind(X_28,$fot(X_35)),bind(X_30,$fot(implies(X_16,implies(X_14,implies(X_35,implies(X_32,X_31))))))]]) ).
cnf(refute_0_53,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_35,implies(X_32,X_31))),implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31)))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_35,implies(X_32,X_31)))),implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31))))))) )],[refute_0_52,refute_0_48]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_135,implies(X_141,implies(X_138,X_137))),implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137)))))))),
inference(subst,[],[refute_0_53:[bind(X_15,$fot(X_135)),bind(X_17,$fot(implies(X_2,X_3))),bind(X_31,$fot(X_137)),bind(X_32,$fot(X_138)),bind(X_33,$fot(X_139)),bind(X_34,$fot(X_140)),bind(X_35,$fot(X_141))]]) ).
cnf(refute_0_55,plain,
is_a_theorem(implies(implies(implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137))))),X_2),implies(X_6,implies(implies(X_135,implies(X_141,implies(X_138,X_137))),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_135,implies(X_141,implies(X_138,X_137))),implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137)))))))) )],[refute_0_54,refute_0_47]) ).
cnf(refute_0_56,plain,
( ~ is_a_theorem(X_36)
| ~ is_a_theorem(implies(X_36,implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31)))))))
| is_a_theorem(implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31)))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_36)),bind(Y,$fot(implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31)))))))]]) ).
cnf(refute_0_57,plain,
is_a_theorem(implies(X_36,implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31))))))),
inference(subst,[],[refute_0_51:[bind(X_12,$fot(X_31)),bind(X_14,$fot(X_32)),bind(X_17,$fot(X_33)),bind(X_27,$fot(X_34)),bind(X_28,$fot(X_35)),bind(X_30,$fot(X_36))]]) ).
cnf(refute_0_58,plain,
( ~ is_a_theorem(X_36)
| is_a_theorem(implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31)))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_36,implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31))))))) )],[refute_0_57,refute_0_56]) ).
cnf(refute_0_59,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137))))),X_2),implies(X_6,implies(implies(X_135,implies(X_141,implies(X_138,X_137))),X_2))))
| is_a_theorem(implies(implies(X_183,implies(X_180,X_179)),implies(implies(X_180,X_179),implies(X_181,implies(X_182,implies(X_180,X_179)))))) ),
inference(subst,[],[refute_0_58:[bind(X_31,$fot(X_179)),bind(X_32,$fot(X_180)),bind(X_33,$fot(X_181)),bind(X_34,$fot(X_182)),bind(X_35,$fot(X_183)),bind(X_36,$fot(implies(implies(implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137))))),X_2),implies(X_6,implies(implies(X_135,implies(X_141,implies(X_138,X_137))),X_2)))))]]) ).
cnf(refute_0_60,plain,
is_a_theorem(implies(implies(X_183,implies(X_180,X_179)),implies(implies(X_180,X_179),implies(X_181,implies(X_182,implies(X_180,X_179)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_141,implies(X_138,X_137)),implies(implies(X_138,X_137),implies(X_139,implies(X_140,implies(X_138,X_137))))),X_2),implies(X_6,implies(implies(X_135,implies(X_141,implies(X_138,X_137))),X_2)))) )],[refute_0_55,refute_0_59]) ).
cnf(refute_0_61,plain,
is_a_theorem(implies(implies(X_189,implies(X_186,X_185)),implies(implies(X_186,X_185),implies(X_187,implies(X_188,implies(X_186,X_185)))))),
inference(subst,[],[refute_0_60:[bind(X_179,$fot(X_185)),bind(X_180,$fot(X_186)),bind(X_181,$fot(X_187)),bind(X_182,$fot(X_188)),bind(X_183,$fot(X_189))]]) ).
cnf(refute_0_62,plain,
( ~ is_a_theorem(implies(X_189,implies(X_186,X_185)))
| is_a_theorem(implies(implies(X_186,X_185),implies(X_187,implies(X_188,implies(X_186,X_185))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_189,implies(X_186,X_185)),implies(implies(X_186,X_185),implies(X_187,implies(X_188,implies(X_186,X_185)))))) )],[refute_0_61,refute_0_46]) ).
cnf(refute_0_63,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2),implies(X_297,implies(X_246,X_2))))
| is_a_theorem(implies(implies(X_297,implies(X_246,X_2)),implies(X_298,implies(X_299,implies(X_297,implies(X_246,X_2)))))) ),
inference(subst,[],[refute_0_62:[bind(X_185,$fot(implies(X_246,X_2))),bind(X_186,$fot(X_297)),bind(X_187,$fot(X_298)),bind(X_188,$fot(X_299)),bind(X_189,$fot(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2)))]]) ).
cnf(refute_0_64,plain,
is_a_theorem(implies(implies(X_297,implies(X_246,X_2)),implies(X_298,implies(X_299,implies(X_297,implies(X_246,X_2)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2),implies(X_297,implies(X_246,X_2)))) )],[refute_0_45,refute_0_63]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(implies(X_303,implies(X_302,X_301)),implies(X_304,implies(X_305,implies(X_303,implies(X_302,X_301)))))),
inference(subst,[],[refute_0_64:[bind(X_2,$fot(X_301)),bind(X_246,$fot(X_302)),bind(X_297,$fot(X_303)),bind(X_298,$fot(X_304)),bind(X_299,$fot(X_305))]]) ).
cnf(refute_0_66,plain,
( ~ is_a_theorem(implies(X_303,implies(X_302,X_301)))
| is_a_theorem(implies(X_304,implies(X_305,implies(X_303,implies(X_302,X_301))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_303,implies(X_302,X_301)),implies(X_304,implies(X_305,implies(X_303,implies(X_302,X_301)))))) )],[refute_0_65,refute_0_17]) ).
cnf(refute_0_67,plain,
( ~ is_a_theorem(implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664))))
| is_a_theorem(implies(X_304,implies(X_305,implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664)))))) ),
inference(subst,[],[refute_0_66:[bind(X_301,$fot(implies(X_665,X_664))),bind(X_302,$fot(X_662)),bind(X_303,$fot(implies(implies(X_666,implies(X_663,X_665)),X_664)))]]) ).
cnf(refute_0_68,plain,
( ~ is_a_theorem(implies(implies(X_659,X_660),implies(X_660,implies(X_661,implies(X_658,X_660)))))
| is_a_theorem(implies(implies(implies(X_661,implies(X_658,X_660)),X_659),implies(X_6,implies(X_660,X_659)))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_659)),bind(X_3,$fot(X_660)),bind(X_4,$fot(X_660)),bind(X_5,$fot(implies(X_661,implies(X_658,X_660))))]]) ).
cnf(refute_0_69,plain,
( ~ is_a_theorem(X_80)
| ~ is_a_theorem(implies(X_80,implies(implies(X_79,X_81),implies(X_81,implies(X_82,implies(X_78,X_81))))))
| is_a_theorem(implies(implies(X_79,X_81),implies(X_81,implies(X_82,implies(X_78,X_81))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_80)),bind(Y,$fot(implies(implies(X_79,X_81),implies(X_81,implies(X_82,implies(X_78,X_81))))))]]) ).
cnf(refute_0_70,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),implies(X_14,X_68)),implies(X_68,implies(X_69,implies(X_14,X_68)))))
| is_a_theorem(implies(X_17,implies(implies(X_15,X_68),implies(X_68,implies(X_69,implies(X_14,X_68)))))) ),
inference(subst,[],[refute_0_20:[bind(X_12,$fot(X_68)),bind(X_13,$fot(implies(X_69,implies(X_14,X_68)))),bind(X_16,$fot(implies(implies(X_67,X_70),implies(X_70,X_69))))]]) ).
cnf(refute_0_71,plain,
is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),implies(X_14,X_68)),implies(X_68,implies(X_69,implies(X_14,X_68))))),
inference(subst,[],[refute_0_35:[bind(X_59,$fot(X_67)),bind(X_6,$fot(X_68)),bind(X_60,$fot(X_69)),bind(X_61,$fot(X_70)),bind(X_62,$fot(implies(X_14,X_68)))]]) ).
cnf(refute_0_72,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,X_68),implies(X_68,implies(X_69,implies(X_14,X_68)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),implies(X_14,X_68)),implies(X_68,implies(X_69,implies(X_14,X_68))))) )],[refute_0_71,refute_0_70]) ).
cnf(refute_0_73,plain,
is_a_theorem(implies(X_80,implies(implies(X_79,X_81),implies(X_81,implies(X_82,implies(X_78,X_81)))))),
inference(subst,[],[refute_0_72:[bind(X_14,$fot(X_78)),bind(X_15,$fot(X_79)),bind(X_17,$fot(X_80)),bind(X_68,$fot(X_81)),bind(X_69,$fot(X_82))]]) ).
cnf(refute_0_74,plain,
( ~ is_a_theorem(X_80)
| is_a_theorem(implies(implies(X_79,X_81),implies(X_81,implies(X_82,implies(X_78,X_81))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_80,implies(implies(X_79,X_81),implies(X_81,implies(X_82,implies(X_78,X_81)))))) )],[refute_0_73,refute_0_69]) ).
cnf(refute_0_75,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2),implies(X_6,implies(X_246,X_2))))
| is_a_theorem(implies(implies(X_654,X_656),implies(X_656,implies(X_657,implies(X_653,X_656))))) ),
inference(subst,[],[refute_0_74:[bind(X_78,$fot(X_653)),bind(X_79,$fot(X_654)),bind(X_80,$fot(implies(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2),implies(X_6,implies(X_246,X_2))))),bind(X_81,$fot(X_656)),bind(X_82,$fot(X_657))]]) ).
cnf(refute_0_76,plain,
is_a_theorem(implies(implies(X_654,X_656),implies(X_656,implies(X_657,implies(X_653,X_656))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_245,implies(X_248,X_249)),implies(implies(X_248,X_249),implies(X_249,implies(X_250,implies(X_251,implies(X_248,X_249)))))),X_2),implies(X_6,implies(X_246,X_2)))) )],[refute_0_44,refute_0_75]) ).
cnf(refute_0_77,plain,
is_a_theorem(implies(implies(X_659,X_660),implies(X_660,implies(X_661,implies(X_658,X_660))))),
inference(subst,[],[refute_0_76:[bind(X_653,$fot(X_658)),bind(X_654,$fot(X_659)),bind(X_656,$fot(X_660)),bind(X_657,$fot(X_661))]]) ).
cnf(refute_0_78,plain,
is_a_theorem(implies(implies(implies(X_661,implies(X_658,X_660)),X_659),implies(X_6,implies(X_660,X_659)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_659,X_660),implies(X_660,implies(X_661,implies(X_658,X_660))))) )],[refute_0_77,refute_0_68]) ).
cnf(refute_0_79,plain,
is_a_theorem(implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664)))),
inference(subst,[],[refute_0_78:[bind(X_6,$fot(X_662)),bind(X_658,$fot(X_663)),bind(X_659,$fot(X_664)),bind(X_660,$fot(X_665)),bind(X_661,$fot(X_666))]]) ).
cnf(refute_0_80,plain,
is_a_theorem(implies(X_304,implies(X_305,implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664)))) )],[refute_0_79,refute_0_67]) ).
cnf(refute_0_81,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_678,implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681)))))),
inference(subst,[],[refute_0_80:[bind(X_304,$fot(implies(X_2,X_3))),bind(X_305,$fot(X_678)),bind(X_662,$fot(X_679)),bind(X_663,$fot(X_680)),bind(X_664,$fot(X_681)),bind(X_665,$fot(X_682)),bind(X_666,$fot(X_683))]]) ).
cnf(refute_0_82,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681))),X_2),implies(X_6,implies(X_678,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_678,implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681)))))) )],[refute_0_81,refute_0_16]) ).
cnf(refute_0_83,plain,
( ~ is_a_theorem(X_406)
| ~ is_a_theorem(implies(X_406,implies(X_407,implies(implies(X_407,X_405),implies(X_404,implies(X_408,X_405))))))
| is_a_theorem(implies(X_407,implies(implies(X_407,X_405),implies(X_404,implies(X_408,X_405))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_406)),bind(Y,$fot(implies(X_407,implies(implies(X_407,X_405),implies(X_404,implies(X_408,X_405))))))]]) ).
cnf(refute_0_84,plain,
is_a_theorem(implies(implies(implies(X_383,X_386),implies(X_386,X_385)),implies(implies(X_385,X_383),implies(T,implies(X_386,X_383))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_383)),bind(Q,$fot(X_386)),bind(R,$fot(X_386)),bind(S,$fot(X_385))]]) ).
cnf(refute_0_85,plain,
( ~ is_a_theorem(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71))
| ~ is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71),implies(X_68,implies(X_69,X_71))))
| is_a_theorem(implies(X_68,implies(X_69,X_71))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71))),bind(Y,$fot(implies(X_68,implies(X_69,X_71))))]]) ).
cnf(refute_0_86,plain,
( ~ is_a_theorem(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71))
| is_a_theorem(implies(X_68,implies(X_69,X_71))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71),implies(X_68,implies(X_69,X_71)))) )],[refute_0_36,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ is_a_theorem(implies(implies(implies(X_383,X_386),implies(X_386,X_385)),implies(implies(X_385,X_383),implies(T,implies(X_386,X_383)))))
| is_a_theorem(implies(X_384,implies(X_385,implies(implies(X_385,X_383),implies(T,implies(X_386,X_383)))))) ),
inference(subst,[],[refute_0_86:[bind(X_67,$fot(X_383)),bind(X_68,$fot(X_384)),bind(X_69,$fot(X_385)),bind(X_70,$fot(X_386)),bind(X_71,$fot(implies(implies(X_385,X_383),implies(T,implies(X_386,X_383)))))]]) ).
cnf(refute_0_88,plain,
is_a_theorem(implies(X_384,implies(X_385,implies(implies(X_385,X_383),implies(T,implies(X_386,X_383)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_383,X_386),implies(X_386,X_385)),implies(implies(X_385,X_383),implies(T,implies(X_386,X_383))))) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
is_a_theorem(implies(X_406,implies(X_407,implies(implies(X_407,X_405),implies(X_404,implies(X_408,X_405)))))),
inference(subst,[],[refute_0_88:[bind(T,$fot(X_404)),bind(X_383,$fot(X_405)),bind(X_384,$fot(X_406)),bind(X_385,$fot(X_407)),bind(X_386,$fot(X_408))]]) ).
cnf(refute_0_90,plain,
( ~ is_a_theorem(X_406)
| is_a_theorem(implies(X_407,implies(implies(X_407,X_405),implies(X_404,implies(X_408,X_405))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_406,implies(X_407,implies(implies(X_407,X_405),implies(X_404,implies(X_408,X_405)))))) )],[refute_0_89,refute_0_83]) ).
cnf(refute_0_91,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681))),X_2),implies(X_6,implies(X_678,X_2))))
| is_a_theorem(implies(X_1198,implies(implies(X_1198,X_1196),implies(X_1195,implies(X_1199,X_1196))))) ),
inference(subst,[],[refute_0_90:[bind(X_404,$fot(X_1195)),bind(X_405,$fot(X_1196)),bind(X_406,$fot(implies(implies(implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681))),X_2),implies(X_6,implies(X_678,X_2))))),bind(X_407,$fot(X_1198)),bind(X_408,$fot(X_1199))]]) ).
cnf(refute_0_92,plain,
is_a_theorem(implies(X_1198,implies(implies(X_1198,X_1196),implies(X_1195,implies(X_1199,X_1196))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_683,implies(X_680,X_682)),X_681),implies(X_679,implies(X_682,X_681))),X_2),implies(X_6,implies(X_678,X_2)))) )],[refute_0_82,refute_0_91]) ).
cnf(refute_0_93,plain,
is_a_theorem(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),implies(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),X_1201),implies(X_1200,implies(X_1203,X_1201))))),
inference(subst,[],[refute_0_92:[bind(X_1195,$fot(X_1200)),bind(X_1196,$fot(X_1201)),bind(X_1198,$fot(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)))),bind(X_1199,$fot(X_1203))]]) ).
cnf(refute_0_94,plain,
is_a_theorem(implies(X_24,implies(X_23,implies(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),X_1201),implies(X_1200,implies(X_1203,X_1201)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),implies(implies(implies(implies(X_21,implies(X_1203,X_1201)),implies(implies(X_1203,X_1201),X_19)),X_1201),implies(X_1200,implies(X_1203,X_1201))))) )],[refute_0_93,refute_0_15]) ).
cnf(refute_0_95,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_3211,implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207)))))),
inference(subst,[],[refute_0_94:[bind(X_1200,$fot(X_3206)),bind(X_1201,$fot(X_3207)),bind(X_1203,$fot(X_3208)),bind(X_19,$fot(X_3209)),bind(X_21,$fot(X_3210)),bind(X_23,$fot(X_3211)),bind(X_24,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_96,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_3211,implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207)))))) )],[refute_0_95,refute_0_6]) ).
cnf(refute_0_97,plain,
( ~ is_a_theorem(X_5918)
| ~ is_a_theorem(implies(X_5918,implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919))))
| is_a_theorem(implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_5918)),bind(Y,$fot(implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919))))]]) ).
cnf(refute_0_98,plain,
( ~ is_a_theorem(X_5846)
| ~ is_a_theorem(implies(X_5846,implies(X_5845,implies(implies(implies(X_5848,X_5847),X_5848),implies(implies(X_5848,X_5847),X_5847)))))
| is_a_theorem(implies(X_5845,implies(implies(implies(X_5848,X_5847),X_5848),implies(implies(X_5848,X_5847),X_5847)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_5846)),bind(Y,$fot(implies(X_5845,implies(implies(implies(X_5848,X_5847),X_5848),implies(implies(X_5848,X_5847),X_5847)))))]]) ).
cnf(refute_0_99,plain,
( ~ is_a_theorem(implies(implies(X_4045,X_4046),X_4045))
| ~ is_a_theorem(implies(implies(implies(X_4045,X_4046),X_4045),implies(X_4048,implies(X_4047,X_4045))))
| is_a_theorem(implies(X_4048,implies(X_4047,X_4045))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_4045,X_4046),X_4045))),bind(Y,$fot(implies(X_4048,implies(X_4047,X_4045))))]]) ).
cnf(refute_0_100,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4036,implies(X_2,X_3))))
| is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_4036,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_4036)),bind(X_5,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_101,plain,
( ~ is_a_theorem(X_4023)
| ~ is_a_theorem(implies(X_4023,implies(X_4021,implies(X_4022,X_4021))))
| is_a_theorem(implies(X_4021,implies(X_4022,X_4021))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_4023)),bind(Y,$fot(implies(X_4021,implies(X_4022,X_4021))))]]) ).
cnf(refute_0_102,plain,
( ~ is_a_theorem(X_3596)
| ~ is_a_theorem(implies(X_3596,implies(implies(X_3595,X_3594),implies(X_3595,X_3594))))
| is_a_theorem(implies(implies(X_3595,X_3594),implies(X_3595,X_3594))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3596)),bind(Y,$fot(implies(implies(X_3595,X_3594),implies(X_3595,X_3594))))]]) ).
cnf(refute_0_103,plain,
( ~ is_a_theorem(X_3589)
| ~ is_a_theorem(implies(X_3589,implies(X_3588,implies(implies(X_3587,X_3586),implies(X_3587,X_3586)))))
| is_a_theorem(implies(X_3588,implies(implies(X_3587,X_3586),implies(X_3587,X_3586)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3589)),bind(Y,$fot(implies(X_3588,implies(implies(X_3587,X_3586),implies(X_3587,X_3586)))))]]) ).
cnf(refute_0_104,plain,
( ~ is_a_theorem(X_2503)
| ~ is_a_theorem(implies(X_2503,implies(X_2502,implies(X_2501,implies(implies(X_2500,X_2499),implies(X_2500,X_2499))))))
| is_a_theorem(implies(X_2502,implies(X_2501,implies(implies(X_2500,X_2499),implies(X_2500,X_2499))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2503)),bind(Y,$fot(implies(X_2502,implies(X_2501,implies(implies(X_2500,X_2499),implies(X_2500,X_2499))))))]]) ).
cnf(refute_0_105,plain,
( ~ is_a_theorem(X_1202)
| ~ is_a_theorem(implies(X_1202,implies(implies(X_1202,X_1201),implies(X_1200,implies(X_1203,X_1201)))))
| is_a_theorem(implies(implies(X_1202,X_1201),implies(X_1200,implies(X_1203,X_1201)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1202)),bind(Y,$fot(implies(implies(X_1202,X_1201),implies(X_1200,implies(X_1203,X_1201)))))]]) ).
cnf(refute_0_106,plain,
is_a_theorem(implies(X_1202,implies(implies(X_1202,X_1201),implies(X_1200,implies(X_1203,X_1201))))),
inference(subst,[],[refute_0_92:[bind(X_1195,$fot(X_1200)),bind(X_1196,$fot(X_1201)),bind(X_1198,$fot(X_1202)),bind(X_1199,$fot(X_1203))]]) ).
cnf(refute_0_107,plain,
( ~ is_a_theorem(X_1202)
| is_a_theorem(implies(implies(X_1202,X_1201),implies(X_1200,implies(X_1203,X_1201)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_1202,implies(implies(X_1202,X_1201),implies(X_1200,implies(X_1203,X_1201))))) )],[refute_0_106,refute_0_105]) ).
cnf(refute_0_108,plain,
( ~ is_a_theorem(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248)))))
| is_a_theorem(implies(implies(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248)))),X_1201),implies(X_1200,implies(X_1203,X_1201)))) ),
inference(subst,[],[refute_0_107:[bind(X_1202,$fot(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248))))))]]) ).
cnf(refute_0_109,plain,
( ~ is_a_theorem(implies(implies(implies(X_2246,X_2244),implies(X_2245,X_2244)),implies(X_2247,implies(X_2244,implies(X_2245,X_2244)))))
| is_a_theorem(implies(implies(implies(X_2244,implies(X_2245,X_2244)),implies(X_2246,X_2244)),implies(X_6,implies(X_2247,implies(X_2246,X_2244))))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(implies(X_2246,X_2244))),bind(X_3,$fot(implies(X_2245,X_2244))),bind(X_4,$fot(X_2247)),bind(X_5,$fot(implies(X_2244,implies(X_2245,X_2244))))]]) ).
cnf(refute_0_110,plain,
( ~ is_a_theorem(implies(implies(implies(X_2239,X_2238),X_2238),implies(X_2238,implies(X_2240,X_2238))))
| is_a_theorem(implies(implies(implies(X_2240,X_2238),implies(X_2239,X_2238)),implies(X_6,implies(X_2238,implies(X_2239,X_2238))))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(implies(X_2239,X_2238))),bind(X_3,$fot(X_2238)),bind(X_4,$fot(X_2238)),bind(X_5,$fot(implies(X_2240,X_2238)))]]) ).
cnf(refute_0_111,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_1260,implies(X_1255,X_1256)),implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))),X_2),implies(X_6,implies(implies(X_1260,implies(X_1255,X_1256)),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(X_1260,implies(X_1255,X_1256)))),bind(X_5,$fot(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255)))))]]) ).
cnf(refute_0_112,plain,
is_a_theorem(implies(implies(implies(P,Q),implies(implies(X_1226,X_1228),implies(X_1228,implies(P,Q)))),implies(implies(implies(X_1228,implies(P,Q)),P),implies(T,implies(implies(X_1226,X_1228),P))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(R,$fot(implies(X_1226,X_1228))),bind(S,$fot(implies(X_1228,implies(P,Q))))]]) ).
cnf(refute_0_113,plain,
( ~ is_a_theorem(implies(implies(X_44,implies(implies(X_43,X_45),implies(X_45,X_44))),X_42))
| ~ is_a_theorem(implies(implies(implies(X_44,implies(implies(X_43,X_45),implies(X_45,X_44))),X_42),implies(X_47,implies(implies(X_46,X_44),X_42))))
| is_a_theorem(implies(X_47,implies(implies(X_46,X_44),X_42))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_44,implies(implies(X_43,X_45),implies(X_45,X_44))),X_42))),bind(Y,$fot(implies(X_47,implies(implies(X_46,X_44),X_42))))]]) ).
cnf(refute_0_114,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))))
| is_a_theorem(implies(implies(implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))),X_2),implies(X_6,implies(implies(X_40,X_38),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(X_40,X_38))),bind(X_5,$fot(implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38)))))]]) ).
cnf(refute_0_115,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38)))))),
inference(subst,[],[refute_0_26:[bind(S,$fot(X_37)),bind(X_25,$fot(X_38)),bind(X_27,$fot(X_39)),bind(X_28,$fot(X_40)),bind(X_30,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_116,plain,
is_a_theorem(implies(implies(implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))),X_2),implies(X_6,implies(implies(X_40,X_38),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38)))))) )],[refute_0_115,refute_0_114]) ).
cnf(refute_0_117,plain,
is_a_theorem(implies(implies(implies(X_44,implies(implies(X_43,X_45),implies(X_45,X_44))),X_42),implies(X_47,implies(implies(X_46,X_44),X_42)))),
inference(subst,[],[refute_0_116:[bind(X_2,$fot(X_42)),bind(X_37,$fot(X_43)),bind(X_38,$fot(X_44)),bind(X_39,$fot(X_45)),bind(X_40,$fot(X_46)),bind(X_6,$fot(X_47))]]) ).
cnf(refute_0_118,plain,
( ~ is_a_theorem(implies(implies(X_44,implies(implies(X_43,X_45),implies(X_45,X_44))),X_42))
| is_a_theorem(implies(X_47,implies(implies(X_46,X_44),X_42))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_44,implies(implies(X_43,X_45),implies(X_45,X_44))),X_42),implies(X_47,implies(implies(X_46,X_44),X_42)))) )],[refute_0_117,refute_0_113]) ).
cnf(refute_0_119,plain,
( ~ is_a_theorem(implies(implies(implies(P,Q),implies(implies(X_1226,X_1228),implies(X_1228,implies(P,Q)))),implies(implies(implies(X_1228,implies(P,Q)),P),implies(T,implies(implies(X_1226,X_1228),P)))))
| is_a_theorem(implies(X_1230,implies(implies(X_1229,implies(P,Q)),implies(implies(implies(X_1228,implies(P,Q)),P),implies(T,implies(implies(X_1226,X_1228),P)))))) ),
inference(subst,[],[refute_0_118:[bind(X_42,$fot(implies(implies(implies(X_1228,implies(P,Q)),P),implies(T,implies(implies(X_1226,X_1228),P))))),bind(X_43,$fot(X_1226)),bind(X_44,$fot(implies(P,Q))),bind(X_45,$fot(X_1228)),bind(X_46,$fot(X_1229)),bind(X_47,$fot(X_1230))]]) ).
cnf(refute_0_120,plain,
is_a_theorem(implies(X_1230,implies(implies(X_1229,implies(P,Q)),implies(implies(implies(X_1228,implies(P,Q)),P),implies(T,implies(implies(X_1226,X_1228),P)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(implies(X_1226,X_1228),implies(X_1228,implies(P,Q)))),implies(implies(implies(X_1228,implies(P,Q)),P),implies(T,implies(implies(X_1226,X_1228),P))))) )],[refute_0_112,refute_0_119]) ).
cnf(refute_0_121,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_1260,implies(X_1255,X_1256)),implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255)))))),
inference(subst,[],[refute_0_120:[bind(P,$fot(X_1255)),bind(Q,$fot(X_1256)),bind(T,$fot(X_1257)),bind(X_1226,$fot(X_1258)),bind(X_1228,$fot(X_1259)),bind(X_1229,$fot(X_1260)),bind(X_1230,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_122,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))),X_2),implies(X_6,implies(implies(X_1260,implies(X_1255,X_1256)),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_1260,implies(X_1255,X_1256)),implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255)))))) )],[refute_0_121,refute_0_111]) ).
cnf(refute_0_123,plain,
( ~ is_a_theorem(X_2214)
| ~ is_a_theorem(implies(X_2214,implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211)))))
| is_a_theorem(implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2214)),bind(Y,$fot(implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211)))))]]) ).
cnf(refute_0_124,plain,
( ~ is_a_theorem(X_2083)
| ~ is_a_theorem(implies(X_2083,implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079))))))
| is_a_theorem(implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2083)),bind(Y,$fot(implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079))))))]]) ).
cnf(refute_0_125,plain,
is_a_theorem(implies(implies(implies(X_2071,Q),implies(X_2075,implies(X_2073,X_2071))),implies(implies(implies(X_2073,X_2071),X_2071),implies(X_2071,implies(X_2075,X_2071))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_2071)),bind(R,$fot(X_2075)),bind(S,$fot(implies(X_2073,X_2071))),bind(T,$fot(X_2071))]]) ).
cnf(refute_0_126,plain,
( ~ is_a_theorem(implies(implies(X_112,implies(X_111,implies(X_109,X_107))),implies(implies(X_110,X_107),implies(X_107,X_108))))
| ~ is_a_theorem(implies(implies(implies(X_112,implies(X_111,implies(X_109,X_107))),implies(implies(X_110,X_107),implies(X_107,X_108))),implies(X_114,implies(X_113,implies(implies(X_110,X_107),implies(X_107,X_108))))))
| is_a_theorem(implies(X_114,implies(X_113,implies(implies(X_110,X_107),implies(X_107,X_108))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_112,implies(X_111,implies(X_109,X_107))),implies(implies(X_110,X_107),implies(X_107,X_108))))),bind(Y,$fot(implies(X_114,implies(X_113,implies(implies(X_110,X_107),implies(X_107,X_108))))))]]) ).
cnf(refute_0_127,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_5:[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_128,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,[$cnf( is_a_theorem(implies(implies(implies(implies(X_21,X_18),implies(X_18,X_19)),implies(X_22,implies(X_20,X_18))),implies(X_24,implies(X_23,implies(X_22,implies(X_20,X_18)))))) )],[refute_0_13,refute_0_127]) ).
cnf(refute_0_129,plain,
is_a_theorem(implies(implies(implies(X_112,implies(X_111,implies(X_109,X_107))),implies(implies(X_110,X_107),implies(X_107,X_108))),implies(X_114,implies(X_113,implies(implies(X_110,X_107),implies(X_107,X_108)))))),
inference(subst,[],[refute_0_128:[bind(X_18,$fot(X_107)),bind(X_19,$fot(X_108)),bind(X_20,$fot(X_109)),bind(X_21,$fot(X_110)),bind(X_22,$fot(X_111)),bind(X_23,$fot(X_112)),bind(X_24,$fot(X_113)),bind(X_6,$fot(X_114))]]) ).
cnf(refute_0_130,plain,
( ~ is_a_theorem(implies(implies(X_112,implies(X_111,implies(X_109,X_107))),implies(implies(X_110,X_107),implies(X_107,X_108))))
| is_a_theorem(implies(X_114,implies(X_113,implies(implies(X_110,X_107),implies(X_107,X_108))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_112,implies(X_111,implies(X_109,X_107))),implies(implies(X_110,X_107),implies(X_107,X_108))),implies(X_114,implies(X_113,implies(implies(X_110,X_107),implies(X_107,X_108)))))) )],[refute_0_129,refute_0_126]) ).
cnf(refute_0_131,plain,
( ~ is_a_theorem(implies(implies(implies(X_2071,Q),implies(X_2075,implies(X_2073,X_2071))),implies(implies(implies(X_2073,X_2071),X_2071),implies(X_2071,implies(X_2075,X_2071)))))
| is_a_theorem(implies(X_2078,implies(X_2077,implies(implies(implies(X_2073,X_2071),X_2071),implies(X_2071,implies(X_2075,X_2071)))))) ),
inference(subst,[],[refute_0_130:[bind(X_107,$fot(X_2071)),bind(X_108,$fot(implies(X_2075,X_2071))),bind(X_109,$fot(X_2073)),bind(X_110,$fot(implies(X_2073,X_2071))),bind(X_111,$fot(X_2075)),bind(X_112,$fot(implies(X_2071,Q))),bind(X_113,$fot(X_2077)),bind(X_114,$fot(X_2078))]]) ).
cnf(refute_0_132,plain,
is_a_theorem(implies(X_2078,implies(X_2077,implies(implies(implies(X_2073,X_2071),X_2071),implies(X_2071,implies(X_2075,X_2071)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2071,Q),implies(X_2075,implies(X_2073,X_2071))),implies(implies(implies(X_2073,X_2071),X_2071),implies(X_2071,implies(X_2075,X_2071))))) )],[refute_0_125,refute_0_131]) ).
cnf(refute_0_133,plain,
is_a_theorem(implies(X_2083,implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079)))))),
inference(subst,[],[refute_0_132:[bind(X_2071,$fot(X_2079)),bind(X_2073,$fot(X_2080)),bind(X_2075,$fot(X_2081)),bind(X_2077,$fot(X_2082)),bind(X_2078,$fot(X_2083))]]) ).
cnf(refute_0_134,plain,
( ~ is_a_theorem(X_2083)
| is_a_theorem(implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2083,implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079)))))) )],[refute_0_133,refute_0_124]) ).
cnf(refute_0_135,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))),X_2),implies(X_6,implies(implies(X_1260,implies(X_1255,X_1256)),X_2))))
| is_a_theorem(implies(X_2209,implies(implies(implies(X_2207,X_2206),X_2206),implies(X_2206,implies(X_2208,X_2206))))) ),
inference(subst,[],[refute_0_134:[bind(X_2079,$fot(X_2206)),bind(X_2080,$fot(X_2207)),bind(X_2081,$fot(X_2208)),bind(X_2082,$fot(X_2209)),bind(X_2083,$fot(implies(implies(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))),X_2),implies(X_6,implies(implies(X_1260,implies(X_1255,X_1256)),X_2)))))]]) ).
cnf(refute_0_136,plain,
is_a_theorem(implies(X_2209,implies(implies(implies(X_2207,X_2206),X_2206),implies(X_2206,implies(X_2208,X_2206))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))),X_2),implies(X_6,implies(implies(X_1260,implies(X_1255,X_1256)),X_2)))) )],[refute_0_122,refute_0_135]) ).
cnf(refute_0_137,plain,
is_a_theorem(implies(X_2214,implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211))))),
inference(subst,[],[refute_0_136:[bind(X_2206,$fot(X_2211)),bind(X_2207,$fot(X_2212)),bind(X_2208,$fot(X_2213)),bind(X_2209,$fot(X_2214))]]) ).
cnf(refute_0_138,plain,
( ~ is_a_theorem(X_2214)
| is_a_theorem(implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2214,implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211))))) )],[refute_0_137,refute_0_123]) ).
cnf(refute_0_139,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))),X_2),implies(X_6,implies(implies(X_1260,implies(X_1255,X_1256)),X_2))))
| is_a_theorem(implies(implies(implies(X_2235,X_2234),X_2234),implies(X_2234,implies(X_2236,X_2234)))) ),
inference(subst,[],[refute_0_138:[bind(X_2211,$fot(X_2234)),bind(X_2212,$fot(X_2235)),bind(X_2213,$fot(X_2236)),bind(X_2214,$fot(implies(implies(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))),X_2),implies(X_6,implies(implies(X_1260,implies(X_1255,X_1256)),X_2)))))]]) ).
cnf(refute_0_140,plain,
is_a_theorem(implies(implies(implies(X_2235,X_2234),X_2234),implies(X_2234,implies(X_2236,X_2234)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1259,implies(X_1255,X_1256)),X_1255),implies(X_1257,implies(implies(X_1258,X_1259),X_1255))),X_2),implies(X_6,implies(implies(X_1260,implies(X_1255,X_1256)),X_2)))) )],[refute_0_122,refute_0_139]) ).
cnf(refute_0_141,plain,
is_a_theorem(implies(implies(implies(X_2239,X_2238),X_2238),implies(X_2238,implies(X_2240,X_2238)))),
inference(subst,[],[refute_0_140:[bind(X_2234,$fot(X_2238)),bind(X_2235,$fot(X_2239)),bind(X_2236,$fot(X_2240))]]) ).
cnf(refute_0_142,plain,
is_a_theorem(implies(implies(implies(X_2240,X_2238),implies(X_2239,X_2238)),implies(X_6,implies(X_2238,implies(X_2239,X_2238))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2239,X_2238),X_2238),implies(X_2238,implies(X_2240,X_2238)))) )],[refute_0_141,refute_0_110]) ).
cnf(refute_0_143,plain,
is_a_theorem(implies(implies(implies(X_2246,X_2244),implies(X_2245,X_2244)),implies(X_2247,implies(X_2244,implies(X_2245,X_2244))))),
inference(subst,[],[refute_0_142:[bind(X_2238,$fot(X_2244)),bind(X_2239,$fot(X_2245)),bind(X_2240,$fot(X_2246)),bind(X_6,$fot(X_2247))]]) ).
cnf(refute_0_144,plain,
is_a_theorem(implies(implies(implies(X_2244,implies(X_2245,X_2244)),implies(X_2246,X_2244)),implies(X_6,implies(X_2247,implies(X_2246,X_2244))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2246,X_2244),implies(X_2245,X_2244)),implies(X_2247,implies(X_2244,implies(X_2245,X_2244))))) )],[refute_0_143,refute_0_109]) ).
cnf(refute_0_145,plain,
is_a_theorem(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248))))),
inference(subst,[],[refute_0_144:[bind(X_2244,$fot(X_2248)),bind(X_2245,$fot(X_2249)),bind(X_2246,$fot(X_2250)),bind(X_2247,$fot(X_2251)),bind(X_6,$fot(X_2252))]]) ).
cnf(refute_0_146,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248)))),X_1201),implies(X_1200,implies(X_1203,X_1201)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248))))) )],[refute_0_145,refute_0_108]) ).
cnf(refute_0_147,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248)))),implies(X_2489,X_2488)),implies(X_2492,implies(implies(X_2489,X_2488),implies(X_2489,X_2488))))),
inference(subst,[],[refute_0_146:[bind(X_1200,$fot(X_2492)),bind(X_1201,$fot(implies(X_2489,X_2488))),bind(X_1203,$fot(implies(X_2489,X_2488)))]]) ).
cnf(refute_0_148,plain,
( ~ is_a_theorem(implies(implies(X_343,X_342),implies(X_344,implies(X_342,implies(X_341,X_340)))))
| ~ is_a_theorem(implies(implies(implies(X_343,X_342),implies(X_344,implies(X_342,implies(X_341,X_340)))),implies(X_346,implies(X_345,implies(X_344,implies(X_342,implies(X_341,X_340)))))))
| is_a_theorem(implies(X_346,implies(X_345,implies(X_344,implies(X_342,implies(X_341,X_340)))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_343,X_342),implies(X_344,implies(X_342,implies(X_341,X_340)))))),bind(Y,$fot(implies(X_346,implies(X_345,implies(X_344,implies(X_342,implies(X_341,X_340)))))))]]) ).
cnf(refute_0_149,plain,
( ~ is_a_theorem(implies(implies(implies(X_310,implies(X_308,implies(X_307,X_306))),X_308),implies(X_311,implies(X_309,X_308))))
| is_a_theorem(implies(implies(implies(X_309,X_308),implies(X_310,implies(X_308,implies(X_307,X_306)))),implies(X_6,implies(X_311,implies(X_310,implies(X_308,implies(X_307,X_306))))))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(implies(X_310,implies(X_308,implies(X_307,X_306))))),bind(X_3,$fot(X_308)),bind(X_4,$fot(X_311)),bind(X_5,$fot(implies(X_309,X_308)))]]) ).
cnf(refute_0_150,plain,
( ~ is_a_theorem(implies(implies(X_303,implies(X_302,X_301)),implies(X_304,implies(X_305,implies(X_303,implies(X_302,X_301))))))
| is_a_theorem(implies(implies(implies(X_305,implies(X_303,implies(X_302,X_301))),X_303),implies(X_6,implies(X_304,X_303)))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_303)),bind(X_3,$fot(implies(X_302,X_301))),bind(X_4,$fot(X_304)),bind(X_5,$fot(implies(X_305,implies(X_303,implies(X_302,X_301)))))]]) ).
cnf(refute_0_151,plain,
is_a_theorem(implies(implies(implies(X_305,implies(X_303,implies(X_302,X_301))),X_303),implies(X_6,implies(X_304,X_303)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_303,implies(X_302,X_301)),implies(X_304,implies(X_305,implies(X_303,implies(X_302,X_301)))))) )],[refute_0_65,refute_0_150]) ).
cnf(refute_0_152,plain,
is_a_theorem(implies(implies(implies(X_310,implies(X_308,implies(X_307,X_306))),X_308),implies(X_311,implies(X_309,X_308)))),
inference(subst,[],[refute_0_151:[bind(X_301,$fot(X_306)),bind(X_302,$fot(X_307)),bind(X_303,$fot(X_308)),bind(X_304,$fot(X_309)),bind(X_305,$fot(X_310)),bind(X_6,$fot(X_311))]]) ).
cnf(refute_0_153,plain,
is_a_theorem(implies(implies(implies(X_309,X_308),implies(X_310,implies(X_308,implies(X_307,X_306)))),implies(X_6,implies(X_311,implies(X_310,implies(X_308,implies(X_307,X_306))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_310,implies(X_308,implies(X_307,X_306))),X_308),implies(X_311,implies(X_309,X_308)))) )],[refute_0_152,refute_0_149]) ).
cnf(refute_0_154,plain,
is_a_theorem(implies(implies(implies(X_343,X_342),implies(X_344,implies(X_342,implies(X_341,X_340)))),implies(X_346,implies(X_345,implies(X_344,implies(X_342,implies(X_341,X_340))))))),
inference(subst,[],[refute_0_153:[bind(X_306,$fot(X_340)),bind(X_307,$fot(X_341)),bind(X_308,$fot(X_342)),bind(X_309,$fot(X_343)),bind(X_310,$fot(X_344)),bind(X_311,$fot(X_345)),bind(X_6,$fot(X_346))]]) ).
cnf(refute_0_155,plain,
( ~ is_a_theorem(implies(implies(X_343,X_342),implies(X_344,implies(X_342,implies(X_341,X_340)))))
| is_a_theorem(implies(X_346,implies(X_345,implies(X_344,implies(X_342,implies(X_341,X_340)))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_343,X_342),implies(X_344,implies(X_342,implies(X_341,X_340)))),implies(X_346,implies(X_345,implies(X_344,implies(X_342,implies(X_341,X_340))))))) )],[refute_0_154,refute_0_148]) ).
cnf(refute_0_156,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248)))),implies(X_2489,X_2488)),implies(X_2492,implies(implies(X_2489,X_2488),implies(X_2489,X_2488)))))
| is_a_theorem(implies(X_2494,implies(X_2493,implies(X_2492,implies(implies(X_2489,X_2488),implies(X_2489,X_2488)))))) ),
inference(subst,[],[refute_0_155:[bind(X_340,$fot(X_2488)),bind(X_341,$fot(X_2489)),bind(X_342,$fot(implies(X_2489,X_2488))),bind(X_343,$fot(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248)))))),bind(X_344,$fot(X_2492)),bind(X_345,$fot(X_2493)),bind(X_346,$fot(X_2494))]]) ).
cnf(refute_0_157,plain,
is_a_theorem(implies(X_2494,implies(X_2493,implies(X_2492,implies(implies(X_2489,X_2488),implies(X_2489,X_2488)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_2248,implies(X_2249,X_2248)),implies(X_2250,X_2248)),implies(X_2252,implies(X_2251,implies(X_2250,X_2248)))),implies(X_2489,X_2488)),implies(X_2492,implies(implies(X_2489,X_2488),implies(X_2489,X_2488))))) )],[refute_0_147,refute_0_156]) ).
cnf(refute_0_158,plain,
is_a_theorem(implies(X_2503,implies(X_2502,implies(X_2501,implies(implies(X_2500,X_2499),implies(X_2500,X_2499)))))),
inference(subst,[],[refute_0_157:[bind(X_2488,$fot(X_2499)),bind(X_2489,$fot(X_2500)),bind(X_2492,$fot(X_2501)),bind(X_2493,$fot(X_2502)),bind(X_2494,$fot(X_2503))]]) ).
cnf(refute_0_159,plain,
( ~ is_a_theorem(X_2503)
| is_a_theorem(implies(X_2502,implies(X_2501,implies(implies(X_2500,X_2499),implies(X_2500,X_2499))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2503,implies(X_2502,implies(X_2501,implies(implies(X_2500,X_2499),implies(X_2500,X_2499)))))) )],[refute_0_158,refute_0_104]) ).
cnf(refute_0_160,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(X_3584,implies(X_3583,implies(implies(X_3582,X_3581),implies(X_3582,X_3581))))) ),
inference(subst,[],[refute_0_159:[bind(X_2499,$fot(X_3581)),bind(X_2500,$fot(X_3582)),bind(X_2501,$fot(X_3583)),bind(X_2502,$fot(X_3584)),bind(X_2503,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))))]]) ).
cnf(refute_0_161,plain,
is_a_theorem(implies(X_3584,implies(X_3583,implies(implies(X_3582,X_3581),implies(X_3582,X_3581))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_160]) ).
cnf(refute_0_162,plain,
is_a_theorem(implies(X_3589,implies(X_3588,implies(implies(X_3587,X_3586),implies(X_3587,X_3586))))),
inference(subst,[],[refute_0_161:[bind(X_3581,$fot(X_3586)),bind(X_3582,$fot(X_3587)),bind(X_3583,$fot(X_3588)),bind(X_3584,$fot(X_3589))]]) ).
cnf(refute_0_163,plain,
( ~ is_a_theorem(X_3589)
| is_a_theorem(implies(X_3588,implies(implies(X_3587,X_3586),implies(X_3587,X_3586)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3589,implies(X_3588,implies(implies(X_3587,X_3586),implies(X_3587,X_3586))))) )],[refute_0_162,refute_0_103]) ).
cnf(refute_0_164,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(X_3592,implies(implies(X_3591,X_3590),implies(X_3591,X_3590)))) ),
inference(subst,[],[refute_0_163:[bind(X_3586,$fot(X_3590)),bind(X_3587,$fot(X_3591)),bind(X_3588,$fot(X_3592)),bind(X_3589,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))))]]) ).
cnf(refute_0_165,plain,
is_a_theorem(implies(X_3592,implies(implies(X_3591,X_3590),implies(X_3591,X_3590)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_164]) ).
cnf(refute_0_166,plain,
is_a_theorem(implies(X_3596,implies(implies(X_3595,X_3594),implies(X_3595,X_3594)))),
inference(subst,[],[refute_0_165:[bind(X_3590,$fot(X_3594)),bind(X_3591,$fot(X_3595)),bind(X_3592,$fot(X_3596))]]) ).
cnf(refute_0_167,plain,
( ~ is_a_theorem(X_3596)
| is_a_theorem(implies(implies(X_3595,X_3594),implies(X_3595,X_3594))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3596,implies(implies(X_3595,X_3594),implies(X_3595,X_3594)))) )],[refute_0_166,refute_0_102]) ).
cnf(refute_0_168,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(implies(X_3608,X_3607),implies(X_3608,X_3607))) ),
inference(subst,[],[refute_0_167:[bind(X_3594,$fot(X_3607)),bind(X_3595,$fot(X_3608)),bind(X_3596,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))))]]) ).
cnf(refute_0_169,plain,
is_a_theorem(implies(implies(X_3608,X_3607),implies(X_3608,X_3607))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_168]) ).
cnf(refute_0_170,plain,
is_a_theorem(implies(implies(X_4018,X_4017),implies(X_4018,X_4017))),
inference(subst,[],[refute_0_169:[bind(X_3607,$fot(X_4017)),bind(X_3608,$fot(X_4018))]]) ).
cnf(refute_0_171,plain,
( ~ is_a_theorem(implies(implies(X_2246,X_2244),implies(X_2245,X_2244)))
| ~ is_a_theorem(implies(implies(implies(X_2246,X_2244),implies(X_2245,X_2244)),implies(X_2247,implies(X_2244,implies(X_2245,X_2244)))))
| is_a_theorem(implies(X_2247,implies(X_2244,implies(X_2245,X_2244)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_2246,X_2244),implies(X_2245,X_2244)))),bind(Y,$fot(implies(X_2247,implies(X_2244,implies(X_2245,X_2244)))))]]) ).
cnf(refute_0_172,plain,
( ~ is_a_theorem(implies(implies(X_2246,X_2244),implies(X_2245,X_2244)))
| is_a_theorem(implies(X_2247,implies(X_2244,implies(X_2245,X_2244)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2246,X_2244),implies(X_2245,X_2244)),implies(X_2247,implies(X_2244,implies(X_2245,X_2244))))) )],[refute_0_143,refute_0_171]) ).
cnf(refute_0_173,plain,
( ~ is_a_theorem(implies(implies(X_4018,X_4017),implies(X_4018,X_4017)))
| is_a_theorem(implies(X_4020,implies(X_4017,implies(X_4018,X_4017)))) ),
inference(subst,[],[refute_0_172:[bind(X_2244,$fot(X_4017)),bind(X_2245,$fot(X_4018)),bind(X_2246,$fot(X_4018)),bind(X_2247,$fot(X_4020))]]) ).
cnf(refute_0_174,plain,
is_a_theorem(implies(X_4020,implies(X_4017,implies(X_4018,X_4017)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_4018,X_4017),implies(X_4018,X_4017))) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
is_a_theorem(implies(X_4023,implies(X_4021,implies(X_4022,X_4021)))),
inference(subst,[],[refute_0_174:[bind(X_4017,$fot(X_4021)),bind(X_4018,$fot(X_4022)),bind(X_4020,$fot(X_4023))]]) ).
cnf(refute_0_176,plain,
( ~ is_a_theorem(X_4023)
| is_a_theorem(implies(X_4021,implies(X_4022,X_4021))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_4023,implies(X_4021,implies(X_4022,X_4021)))) )],[refute_0_175,refute_0_101]) ).
cnf(refute_0_177,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(X_4032,implies(X_4033,X_4032))) ),
inference(subst,[],[refute_0_176:[bind(X_4021,$fot(X_4032)),bind(X_4022,$fot(X_4033)),bind(X_4023,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))))]]) ).
cnf(refute_0_178,plain,
is_a_theorem(implies(X_4032,implies(X_4033,X_4032))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_177]) ).
cnf(refute_0_179,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_4036,implies(X_2,X_3)))),
inference(subst,[],[refute_0_178:[bind(X_4032,$fot(implies(X_2,X_3))),bind(X_4033,$fot(X_4036))]]) ).
cnf(refute_0_180,plain,
is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_4036,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_4036,implies(X_2,X_3)))) )],[refute_0_179,refute_0_100]) ).
cnf(refute_0_181,plain,
is_a_theorem(implies(implies(implies(X_4045,X_4046),X_4045),implies(X_4048,implies(X_4047,X_4045)))),
inference(subst,[],[refute_0_180:[bind(X_2,$fot(X_4045)),bind(X_3,$fot(X_4046)),bind(X_4036,$fot(X_4047)),bind(X_6,$fot(X_4048))]]) ).
cnf(refute_0_182,plain,
( ~ is_a_theorem(implies(implies(X_4045,X_4046),X_4045))
| is_a_theorem(implies(X_4048,implies(X_4047,X_4045))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_4045,X_4046),X_4045),implies(X_4048,implies(X_4047,X_4045)))) )],[refute_0_181,refute_0_99]) ).
cnf(refute_0_183,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840)),X_5840),implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840))))
| is_a_theorem(implies(X_4048,implies(X_4047,implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840))))) ),
inference(subst,[],[refute_0_182:[bind(X_4045,$fot(implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840)))),bind(X_4046,$fot(X_5840))]]) ).
cnf(refute_0_184,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811)))))
| is_a_theorem(implies(implies(implies(implies(X_5812,X_5810),implies(X_5812,X_5811)),X_2),implies(X_6,implies(implies(X_5810,X_5811),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(X_5810,X_5811))),bind(X_5,$fot(implies(implies(X_5812,X_5810),implies(X_5812,X_5811))))]]) ).
cnf(refute_0_185,plain,
( ~ is_a_theorem(X_2525)
| ~ is_a_theorem(implies(X_2525,implies(X_2524,implies(implies(X_2521,X_2522),implies(implies(X_2523,X_2521),implies(X_2523,X_2522))))))
| is_a_theorem(implies(X_2524,implies(implies(X_2521,X_2522),implies(implies(X_2523,X_2521),implies(X_2523,X_2522))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2525)),bind(Y,$fot(implies(X_2524,implies(implies(X_2521,X_2522),implies(implies(X_2523,X_2521),implies(X_2523,X_2522))))))]]) ).
cnf(refute_0_186,plain,
is_a_theorem(implies(implies(implies(X_2488,Q),implies(X_2489,S)),implies(implies(S,X_2488),implies(implies(X_2489,S),implies(X_2489,X_2488))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_2488)),bind(R,$fot(X_2489)),bind(T,$fot(implies(X_2489,S)))]]) ).
cnf(refute_0_187,plain,
( ~ is_a_theorem(implies(implies(implies(X_2488,Q),implies(X_2489,S)),implies(implies(S,X_2488),implies(implies(X_2489,S),implies(X_2489,X_2488)))))
| is_a_theorem(implies(X_2494,implies(X_2493,implies(implies(S,X_2488),implies(implies(X_2489,S),implies(X_2489,X_2488)))))) ),
inference(subst,[],[refute_0_155:[bind(X_340,$fot(X_2488)),bind(X_341,$fot(X_2489)),bind(X_342,$fot(implies(X_2489,S))),bind(X_343,$fot(implies(X_2488,Q))),bind(X_344,$fot(implies(S,X_2488))),bind(X_345,$fot(X_2493)),bind(X_346,$fot(X_2494))]]) ).
cnf(refute_0_188,plain,
is_a_theorem(implies(X_2494,implies(X_2493,implies(implies(S,X_2488),implies(implies(X_2489,S),implies(X_2489,X_2488)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2488,Q),implies(X_2489,S)),implies(implies(S,X_2488),implies(implies(X_2489,S),implies(X_2489,X_2488))))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
is_a_theorem(implies(X_2525,implies(X_2524,implies(implies(X_2521,X_2522),implies(implies(X_2523,X_2521),implies(X_2523,X_2522)))))),
inference(subst,[],[refute_0_188:[bind(S,$fot(X_2521)),bind(X_2488,$fot(X_2522)),bind(X_2489,$fot(X_2523)),bind(X_2493,$fot(X_2524)),bind(X_2494,$fot(X_2525))]]) ).
cnf(refute_0_190,plain,
( ~ is_a_theorem(X_2525)
| is_a_theorem(implies(X_2524,implies(implies(X_2521,X_2522),implies(implies(X_2523,X_2521),implies(X_2523,X_2522))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2525,implies(X_2524,implies(implies(X_2521,X_2522),implies(implies(X_2523,X_2521),implies(X_2523,X_2522)))))) )],[refute_0_189,refute_0_185]) ).
cnf(refute_0_191,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(X_5808,implies(implies(X_5805,X_5806),implies(implies(X_5807,X_5805),implies(X_5807,X_5806))))) ),
inference(subst,[],[refute_0_190:[bind(X_2521,$fot(X_5805)),bind(X_2522,$fot(X_5806)),bind(X_2523,$fot(X_5807)),bind(X_2524,$fot(X_5808)),bind(X_2525,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))))]]) ).
cnf(refute_0_192,plain,
is_a_theorem(implies(X_5808,implies(implies(X_5805,X_5806),implies(implies(X_5807,X_5805),implies(X_5807,X_5806))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_191]) ).
cnf(refute_0_193,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811))))),
inference(subst,[],[refute_0_192:[bind(X_5805,$fot(X_5810)),bind(X_5806,$fot(X_5811)),bind(X_5807,$fot(X_5812)),bind(X_5808,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_194,plain,
is_a_theorem(implies(implies(implies(implies(X_5812,X_5810),implies(X_5812,X_5811)),X_2),implies(X_6,implies(implies(X_5810,X_5811),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811))))) )],[refute_0_193,refute_0_184]) ).
cnf(refute_0_195,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840)),X_5840),implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840)))),
inference(subst,[],[refute_0_194:[bind(X_2,$fot(X_5840)),bind(X_5810,$fot(X_5841)),bind(X_5811,$fot(X_5840)),bind(X_5812,$fot(implies(X_5841,X_5840))),bind(X_6,$fot(implies(implies(X_5841,X_5840),X_5841)))]]) ).
cnf(refute_0_196,plain,
is_a_theorem(implies(X_4048,implies(X_4047,implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840)),X_5840),implies(implies(implies(X_5841,X_5840),X_5841),implies(implies(X_5841,X_5840),X_5840)))) )],[refute_0_195,refute_0_183]) ).
cnf(refute_0_197,plain,
is_a_theorem(implies(X_5846,implies(X_5845,implies(implies(implies(X_5848,X_5847),X_5848),implies(implies(X_5848,X_5847),X_5847))))),
inference(subst,[],[refute_0_196:[bind(X_4047,$fot(X_5845)),bind(X_4048,$fot(X_5846)),bind(X_5840,$fot(X_5847)),bind(X_5841,$fot(X_5848))]]) ).
cnf(refute_0_198,plain,
( ~ is_a_theorem(X_5846)
| is_a_theorem(implies(X_5845,implies(implies(implies(X_5848,X_5847),X_5848),implies(implies(X_5848,X_5847),X_5847)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_5846,implies(X_5845,implies(implies(implies(X_5848,X_5847),X_5848),implies(implies(X_5848,X_5847),X_5847))))) )],[refute_0_197,refute_0_98]) ).
cnf(refute_0_199,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(X_5914,implies(implies(implies(X_5917,X_5916),X_5917),implies(implies(X_5917,X_5916),X_5916)))) ),
inference(subst,[],[refute_0_198:[bind(X_5845,$fot(X_5914)),bind(X_5846,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))),bind(X_5847,$fot(X_5916)),bind(X_5848,$fot(X_5917))]]) ).
cnf(refute_0_200,plain,
is_a_theorem(implies(X_5914,implies(implies(implies(X_5917,X_5916),X_5917),implies(implies(X_5917,X_5916),X_5916)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_199]) ).
cnf(refute_0_201,plain,
is_a_theorem(implies(X_5918,implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919)))),
inference(subst,[],[refute_0_200:[bind(X_5914,$fot(X_5918)),bind(X_5916,$fot(X_5919)),bind(X_5917,$fot(X_5920))]]) ).
cnf(refute_0_202,plain,
( ~ is_a_theorem(X_5918)
| is_a_theorem(implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_5918,implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919)))) )],[refute_0_201,refute_0_97]) ).
cnf(refute_0_203,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(implies(implies(X_5927,X_5926),X_5927),implies(implies(X_5927,X_5926),X_5926))) ),
inference(subst,[],[refute_0_202:[bind(X_5918,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))),bind(X_5919,$fot(X_5926)),bind(X_5920,$fot(X_5927))]]) ).
cnf(refute_0_204,plain,
is_a_theorem(implies(implies(implies(X_5927,X_5926),X_5927),implies(implies(X_5927,X_5926),X_5926))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_203]) ).
cnf(refute_0_205,plain,
is_a_theorem(implies(implies(implies(X_5929,X_5928),X_5929),implies(implies(X_5929,X_5928),X_5928))),
inference(subst,[],[refute_0_204:[bind(X_5926,$fot(X_5928)),bind(X_5927,$fot(X_5929))]]) ).
cnf(refute_0_206,plain,
( ~ is_a_theorem(implies(implies(X_5929,X_5928),X_5929))
| is_a_theorem(implies(implies(X_5929,X_5928),X_5928)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5929,X_5928),X_5929),implies(implies(X_5929,X_5928),X_5928))) )],[refute_0_205,refute_0_2]) ).
cnf(refute_0_207,plain,
( ~ is_a_theorem(implies(implies(implies(X_5961,X_5961),X_5928),implies(X_5961,X_5961)))
| is_a_theorem(implies(implies(implies(X_5961,X_5961),X_5928),X_5928)) ),
inference(subst,[],[refute_0_206:[bind(X_5929,$fot(implies(X_5961,X_5961)))]]) ).
cnf(refute_0_208,plain,
( ~ is_a_theorem(implies(X_3616,X_3617))
| ~ is_a_theorem(implies(implies(X_3616,X_3617),implies(X_3618,implies(X_3617,X_3617))))
| is_a_theorem(implies(X_3618,implies(X_3617,X_3617))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_3616,X_3617))),bind(Y,$fot(implies(X_3618,implies(X_3617,X_3617))))]]) ).
cnf(refute_0_209,plain,
( ~ is_a_theorem(implies(implies(X_3611,X_3610),implies(X_3611,X_3610)))
| is_a_theorem(implies(implies(X_3610,X_3611),implies(X_6,implies(X_3611,X_3611)))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_3611)),bind(X_3,$fot(X_3610)),bind(X_4,$fot(X_3611)),bind(X_5,$fot(X_3610))]]) ).
cnf(refute_0_210,plain,
is_a_theorem(implies(implies(X_3611,X_3610),implies(X_3611,X_3610))),
inference(subst,[],[refute_0_169:[bind(X_3607,$fot(X_3610)),bind(X_3608,$fot(X_3611))]]) ).
cnf(refute_0_211,plain,
is_a_theorem(implies(implies(X_3610,X_3611),implies(X_6,implies(X_3611,X_3611)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_3611,X_3610),implies(X_3611,X_3610))) )],[refute_0_210,refute_0_209]) ).
cnf(refute_0_212,plain,
is_a_theorem(implies(implies(X_3616,X_3617),implies(X_3618,implies(X_3617,X_3617)))),
inference(subst,[],[refute_0_211:[bind(X_3610,$fot(X_3616)),bind(X_3611,$fot(X_3617)),bind(X_6,$fot(X_3618))]]) ).
cnf(refute_0_213,plain,
( ~ is_a_theorem(implies(X_3616,X_3617))
| is_a_theorem(implies(X_3618,implies(X_3617,X_3617))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_3616,X_3617),implies(X_3618,implies(X_3617,X_3617)))) )],[refute_0_212,refute_0_208]) ).
cnf(refute_0_214,plain,
( ~ is_a_theorem(implies(implies(implies(X_5959,implies(X_5958,X_5958)),X_5958),X_5958))
| is_a_theorem(implies(X_3618,implies(X_5958,X_5958))) ),
inference(subst,[],[refute_0_213:[bind(X_3616,$fot(implies(implies(X_5959,implies(X_5958,X_5958)),X_5958))),bind(X_3617,$fot(X_5958))]]) ).
cnf(refute_0_215,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4079,implies(X_4078,implies(X_4077,X_4077)))))
| is_a_theorem(implies(implies(implies(X_4078,implies(X_4077,X_4077)),X_2),implies(X_6,implies(X_4079,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_4079)),bind(X_5,$fot(implies(X_4078,implies(X_4077,X_4077))))]]) ).
cnf(refute_0_216,plain,
( ~ is_a_theorem(implies(implies(X_3630,X_3629),implies(X_3632,implies(X_3631,implies(X_3630,X_3629)))))
| is_a_theorem(implies(implies(implies(X_3631,implies(X_3630,X_3629)),X_3630),implies(X_6,implies(X_3632,X_3630)))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_3630)),bind(X_3,$fot(X_3629)),bind(X_4,$fot(X_3632)),bind(X_5,$fot(implies(X_3631,implies(X_3630,X_3629))))]]) ).
cnf(refute_0_217,plain,
( ~ is_a_theorem(implies(X_659,X_660))
| ~ is_a_theorem(implies(implies(X_659,X_660),implies(X_660,implies(X_661,implies(X_658,X_660)))))
| is_a_theorem(implies(X_660,implies(X_661,implies(X_658,X_660)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_659,X_660))),bind(Y,$fot(implies(X_660,implies(X_661,implies(X_658,X_660)))))]]) ).
cnf(refute_0_218,plain,
( ~ is_a_theorem(implies(X_659,X_660))
| is_a_theorem(implies(X_660,implies(X_661,implies(X_658,X_660)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_659,X_660),implies(X_660,implies(X_661,implies(X_658,X_660))))) )],[refute_0_77,refute_0_217]) ).
cnf(refute_0_219,plain,
( ~ is_a_theorem(implies(implies(X_3611,X_3610),implies(X_3611,X_3610)))
| is_a_theorem(implies(implies(X_3611,X_3610),implies(X_661,implies(X_658,implies(X_3611,X_3610))))) ),
inference(subst,[],[refute_0_218:[bind(X_659,$fot(implies(X_3611,X_3610))),bind(X_660,$fot(implies(X_3611,X_3610)))]]) ).
cnf(refute_0_220,plain,
is_a_theorem(implies(implies(X_3611,X_3610),implies(X_661,implies(X_658,implies(X_3611,X_3610))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_3611,X_3610),implies(X_3611,X_3610))) )],[refute_0_210,refute_0_219]) ).
cnf(refute_0_221,plain,
is_a_theorem(implies(implies(X_3630,X_3629),implies(X_3632,implies(X_3631,implies(X_3630,X_3629))))),
inference(subst,[],[refute_0_220:[bind(X_3610,$fot(X_3629)),bind(X_3611,$fot(X_3630)),bind(X_658,$fot(X_3631)),bind(X_661,$fot(X_3632))]]) ).
cnf(refute_0_222,plain,
is_a_theorem(implies(implies(implies(X_3631,implies(X_3630,X_3629)),X_3630),implies(X_6,implies(X_3632,X_3630)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_3630,X_3629),implies(X_3632,implies(X_3631,implies(X_3630,X_3629))))) )],[refute_0_221,refute_0_216]) ).
cnf(refute_0_223,plain,
is_a_theorem(implies(implies(implies(X_3631,implies(X_3629,X_3629)),X_3629),implies(X_3631,implies(X_3629,X_3629)))),
inference(subst,[],[refute_0_222:[bind(X_3630,$fot(X_3629)),bind(X_3632,$fot(X_3629)),bind(X_6,$fot(X_3631))]]) ).
cnf(refute_0_224,plain,
( ~ is_a_theorem(implies(implies(implies(X_3631,implies(X_3629,X_3629)),X_3629),implies(X_3631,implies(X_3629,X_3629))))
| is_a_theorem(implies(X_4076,implies(X_4075,implies(X_3631,implies(X_3629,X_3629))))) ),
inference(subst,[],[refute_0_182:[bind(X_4045,$fot(implies(X_3631,implies(X_3629,X_3629)))),bind(X_4046,$fot(X_3629)),bind(X_4047,$fot(X_4075)),bind(X_4048,$fot(X_4076))]]) ).
cnf(refute_0_225,plain,
is_a_theorem(implies(X_4076,implies(X_4075,implies(X_3631,implies(X_3629,X_3629))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3631,implies(X_3629,X_3629)),X_3629),implies(X_3631,implies(X_3629,X_3629)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_4079,implies(X_4078,implies(X_4077,X_4077))))),
inference(subst,[],[refute_0_225:[bind(X_3629,$fot(X_4077)),bind(X_3631,$fot(X_4078)),bind(X_4075,$fot(X_4079)),bind(X_4076,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_227,plain,
is_a_theorem(implies(implies(implies(X_4078,implies(X_4077,X_4077)),X_2),implies(X_6,implies(X_4079,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_4079,implies(X_4078,implies(X_4077,X_4077))))) )],[refute_0_226,refute_0_215]) ).
cnf(refute_0_228,plain,
is_a_theorem(implies(implies(implies(X_4078,implies(X_4077,X_4077)),X_4077),implies(X_4078,implies(X_4077,X_4077)))),
inference(subst,[],[refute_0_227:[bind(X_2,$fot(X_4077)),bind(X_4079,$fot(X_4077)),bind(X_6,$fot(X_4078))]]) ).
cnf(refute_0_229,plain,
( ~ is_a_theorem(implies(implies(implies(X_4078,implies(X_4077,X_4077)),X_4077),implies(X_4078,implies(X_4077,X_4077))))
| is_a_theorem(implies(implies(implies(X_4078,implies(X_4077,X_4077)),X_4077),X_4077)) ),
inference(subst,[],[refute_0_206:[bind(X_5928,$fot(X_4077)),bind(X_5929,$fot(implies(X_4078,implies(X_4077,X_4077))))]]) ).
cnf(refute_0_230,plain,
is_a_theorem(implies(implies(implies(X_4078,implies(X_4077,X_4077)),X_4077),X_4077)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_4078,implies(X_4077,X_4077)),X_4077),implies(X_4078,implies(X_4077,X_4077)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
is_a_theorem(implies(implies(implies(X_5959,implies(X_5958,X_5958)),X_5958),X_5958)),
inference(subst,[],[refute_0_230:[bind(X_4077,$fot(X_5958)),bind(X_4078,$fot(X_5959))]]) ).
cnf(refute_0_232,plain,
is_a_theorem(implies(X_3618,implies(X_5958,X_5958))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5959,implies(X_5958,X_5958)),X_5958),X_5958)) )],[refute_0_231,refute_0_214]) ).
cnf(refute_0_233,plain,
is_a_theorem(implies(implies(implies(X_5961,X_5961),X_5928),implies(X_5961,X_5961))),
inference(subst,[],[refute_0_232:[bind(X_3618,$fot(implies(implies(X_5961,X_5961),X_5928))),bind(X_5958,$fot(X_5961))]]) ).
cnf(refute_0_234,plain,
is_a_theorem(implies(implies(implies(X_5961,X_5961),X_5928),X_5928)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5961,X_5961),X_5928),implies(X_5961,X_5961))) )],[refute_0_233,refute_0_207]) ).
cnf(refute_0_235,plain,
is_a_theorem(implies(implies(implies(X_5963,X_5963),X_5962),X_5962)),
inference(subst,[],[refute_0_234:[bind(X_5928,$fot(X_5962)),bind(X_5961,$fot(X_5963))]]) ).
cnf(refute_0_236,plain,
( ~ is_a_theorem(implies(implies(X_5963,X_5963),X_5962))
| is_a_theorem(X_5962) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5963,X_5963),X_5962),X_5962)) )],[refute_0_235,refute_0_1]) ).
cnf(refute_0_237,plain,
( ~ is_a_theorem(implies(implies(X_5963,X_5963),implies(implies(X_6371,implies(X_6372,implies(X_6371,X_6370))),implies(X_6372,implies(X_6371,X_6370)))))
| is_a_theorem(implies(implies(X_6371,implies(X_6372,implies(X_6371,X_6370))),implies(X_6372,implies(X_6371,X_6370)))) ),
inference(subst,[],[refute_0_236:[bind(X_5962,$fot(implies(implies(X_6371,implies(X_6372,implies(X_6371,X_6370))),implies(X_6372,implies(X_6371,X_6370)))))]]) ).
cnf(refute_0_238,plain,
( ~ is_a_theorem(implies(implies(X_5963,X_5963),implies(X_6364,implies(implies(X_6367,implies(X_6368,implies(X_6367,X_6366))),implies(X_6368,implies(X_6367,X_6366))))))
| is_a_theorem(implies(X_6364,implies(implies(X_6367,implies(X_6368,implies(X_6367,X_6366))),implies(X_6368,implies(X_6367,X_6366))))) ),
inference(subst,[],[refute_0_236:[bind(X_5962,$fot(implies(X_6364,implies(implies(X_6367,implies(X_6368,implies(X_6367,X_6366))),implies(X_6368,implies(X_6367,X_6366))))))]]) ).
cnf(refute_0_239,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103))),implies(X_6104,X_6103)),implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103)))))
| is_a_theorem(implies(X_4048,implies(X_4047,implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103)))))) ),
inference(subst,[],[refute_0_182:[bind(X_4045,$fot(implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103))))),bind(X_4046,$fot(implies(X_6104,X_6103)))]]) ).
cnf(refute_0_240,plain,
( ~ is_a_theorem(implies(implies(implies(X_5829,X_5828),X_5827),implies(X_5830,implies(implies(X_5829,X_5827),X_5827))))
| is_a_theorem(implies(implies(implies(implies(X_5829,X_5827),X_5827),implies(X_5829,X_5828)),implies(X_6,implies(X_5830,implies(X_5829,X_5828))))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(implies(X_5829,X_5828))),bind(X_3,$fot(X_5827)),bind(X_4,$fot(X_5830)),bind(X_5,$fot(implies(implies(X_5829,X_5827),X_5827)))]]) ).
cnf(refute_0_241,plain,
( ~ is_a_theorem(implies(implies(X_5818,X_5819),implies(implies(X_5820,X_5818),implies(X_5820,X_5819))))
| is_a_theorem(implies(implies(implies(X_5820,X_5819),X_5818),implies(X_6,implies(implies(X_5820,X_5818),X_5818)))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_5818)),bind(X_3,$fot(X_5819)),bind(X_4,$fot(implies(X_5820,X_5818))),bind(X_5,$fot(implies(X_5820,X_5819)))]]) ).
cnf(refute_0_242,plain,
( ~ is_a_theorem(X_5813)
| ~ is_a_theorem(implies(X_5813,implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811)))))
| is_a_theorem(implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_5813)),bind(Y,$fot(implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811)))))]]) ).
cnf(refute_0_243,plain,
is_a_theorem(implies(X_5813,implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811))))),
inference(subst,[],[refute_0_192:[bind(X_5805,$fot(X_5810)),bind(X_5806,$fot(X_5811)),bind(X_5807,$fot(X_5812)),bind(X_5808,$fot(X_5813))]]) ).
cnf(refute_0_244,plain,
( ~ is_a_theorem(X_5813)
| is_a_theorem(implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_5813,implies(implies(X_5810,X_5811),implies(implies(X_5812,X_5810),implies(X_5812,X_5811))))) )],[refute_0_243,refute_0_242]) ).
cnf(refute_0_245,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(implies(X_5814,X_5815),implies(implies(X_5816,X_5814),implies(X_5816,X_5815)))) ),
inference(subst,[],[refute_0_244:[bind(X_5810,$fot(X_5814)),bind(X_5811,$fot(X_5815)),bind(X_5812,$fot(X_5816)),bind(X_5813,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))))]]) ).
cnf(refute_0_246,plain,
is_a_theorem(implies(implies(X_5814,X_5815),implies(implies(X_5816,X_5814),implies(X_5816,X_5815)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_245]) ).
cnf(refute_0_247,plain,
is_a_theorem(implies(implies(X_5818,X_5819),implies(implies(X_5820,X_5818),implies(X_5820,X_5819)))),
inference(subst,[],[refute_0_246:[bind(X_5814,$fot(X_5818)),bind(X_5815,$fot(X_5819)),bind(X_5816,$fot(X_5820))]]) ).
cnf(refute_0_248,plain,
is_a_theorem(implies(implies(implies(X_5820,X_5819),X_5818),implies(X_6,implies(implies(X_5820,X_5818),X_5818)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5818,X_5819),implies(implies(X_5820,X_5818),implies(X_5820,X_5819)))) )],[refute_0_247,refute_0_241]) ).
cnf(refute_0_249,plain,
is_a_theorem(implies(implies(implies(X_5829,X_5828),X_5827),implies(X_5830,implies(implies(X_5829,X_5827),X_5827)))),
inference(subst,[],[refute_0_248:[bind(X_5818,$fot(X_5827)),bind(X_5819,$fot(X_5828)),bind(X_5820,$fot(X_5829)),bind(X_6,$fot(X_5830))]]) ).
cnf(refute_0_250,plain,
is_a_theorem(implies(implies(implies(implies(X_5829,X_5827),X_5827),implies(X_5829,X_5828)),implies(X_6,implies(X_5830,implies(X_5829,X_5828))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5829,X_5828),X_5827),implies(X_5830,implies(implies(X_5829,X_5827),X_5827)))) )],[refute_0_249,refute_0_240]) ).
cnf(refute_0_251,plain,
is_a_theorem(implies(implies(implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103))),implies(X_6104,X_6103)),implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103))))),
inference(subst,[],[refute_0_250:[bind(X_5827,$fot(implies(X_6105,implies(X_6104,X_6103)))),bind(X_5828,$fot(X_6103)),bind(X_5829,$fot(X_6104)),bind(X_5830,$fot(X_6105)),bind(X_6,$fot(implies(X_6104,implies(X_6105,implies(X_6104,X_6103)))))]]) ).
cnf(refute_0_252,plain,
is_a_theorem(implies(X_4048,implies(X_4047,implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103))),implies(X_6104,X_6103)),implies(implies(X_6104,implies(X_6105,implies(X_6104,X_6103))),implies(X_6105,implies(X_6104,X_6103))))) )],[refute_0_251,refute_0_239]) ).
cnf(refute_0_253,plain,
is_a_theorem(implies(implies(X_5963,X_5963),implies(X_6364,implies(implies(X_6367,implies(X_6368,implies(X_6367,X_6366))),implies(X_6368,implies(X_6367,X_6366)))))),
inference(subst,[],[refute_0_252:[bind(X_4047,$fot(X_6364)),bind(X_4048,$fot(implies(X_5963,X_5963))),bind(X_6103,$fot(X_6366)),bind(X_6104,$fot(X_6367)),bind(X_6105,$fot(X_6368))]]) ).
cnf(refute_0_254,plain,
is_a_theorem(implies(X_6364,implies(implies(X_6367,implies(X_6368,implies(X_6367,X_6366))),implies(X_6368,implies(X_6367,X_6366))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5963,X_5963),implies(X_6364,implies(implies(X_6367,implies(X_6368,implies(X_6367,X_6366))),implies(X_6368,implies(X_6367,X_6366)))))) )],[refute_0_253,refute_0_238]) ).
cnf(refute_0_255,plain,
is_a_theorem(implies(implies(X_5963,X_5963),implies(implies(X_6371,implies(X_6372,implies(X_6371,X_6370))),implies(X_6372,implies(X_6371,X_6370))))),
inference(subst,[],[refute_0_254:[bind(X_6364,$fot(implies(X_5963,X_5963))),bind(X_6366,$fot(X_6370)),bind(X_6367,$fot(X_6371)),bind(X_6368,$fot(X_6372))]]) ).
cnf(refute_0_256,plain,
is_a_theorem(implies(implies(X_6371,implies(X_6372,implies(X_6371,X_6370))),implies(X_6372,implies(X_6371,X_6370)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5963,X_5963),implies(implies(X_6371,implies(X_6372,implies(X_6371,X_6370))),implies(X_6372,implies(X_6371,X_6370))))) )],[refute_0_255,refute_0_237]) ).
cnf(refute_0_257,plain,
is_a_theorem(implies(implies(X_6374,implies(X_6375,implies(X_6374,X_6373))),implies(X_6375,implies(X_6374,X_6373)))),
inference(subst,[],[refute_0_256:[bind(X_6370,$fot(X_6373)),bind(X_6371,$fot(X_6374)),bind(X_6372,$fot(X_6375))]]) ).
cnf(refute_0_258,plain,
( ~ is_a_theorem(implies(X_6374,implies(X_6375,implies(X_6374,X_6373))))
| is_a_theorem(implies(X_6375,implies(X_6374,X_6373))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6374,implies(X_6375,implies(X_6374,X_6373))),implies(X_6375,implies(X_6374,X_6373)))) )],[refute_0_257,refute_0_0]) ).
cnf(refute_0_259,plain,
( ~ is_a_theorem(implies(implies(X_33490,X_33491),implies(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),X_6373)),implies(implies(X_33490,X_33491),X_6373))))
| is_a_theorem(implies(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),X_6373)),implies(implies(X_33490,X_33491),X_6373))) ),
inference(subst,[],[refute_0_258:[bind(X_6374,$fot(implies(X_33490,X_33491))),bind(X_6375,$fot(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),X_6373))))]]) ).
cnf(refute_0_260,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),X_19752),X_19749),X_19752),implies(X_19750,X_19752)),X_19752))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_19751,X_19751),X_19752),X_19749),X_19752),implies(X_19750,X_19752)),X_19752),X_19752))
| is_a_theorem(X_19752) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(implies(implies(X_19751,X_19751),X_19752),X_19749),X_19752),implies(X_19750,X_19752)),X_19752))),bind(Y,$fot(X_19752))]]) ).
cnf(refute_0_261,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747)),X_19747),implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747)),X_19747),X_19747)) ),
inference(subst,[],[refute_0_206:[bind(X_5928,$fot(X_19747)),bind(X_5929,$fot(implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747))))]]) ).
cnf(refute_0_262,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_14249,implies(implies(implies(implies(implies(X_14251,X_14251),X_14247),X_14248),X_14247),implies(X_14252,X_14247)))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_14251,X_14251),X_14247),X_14248),X_14247),implies(X_14252,X_14247)),X_2),implies(X_6,implies(X_14249,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_14249)),bind(X_5,$fot(implies(implies(implies(implies(implies(X_14251,X_14251),X_14247),X_14248),X_14247),implies(X_14252,X_14247))))]]) ).
cnf(refute_0_263,plain,
( ~ is_a_theorem(implies(X_5865,X_5864))
| ~ is_a_theorem(implies(implies(X_5865,X_5864),implies(X_5865,implies(X_5863,X_5864))))
| is_a_theorem(implies(X_5865,implies(X_5863,X_5864))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_5865,X_5864))),bind(Y,$fot(implies(X_5865,implies(X_5863,X_5864))))]]) ).
cnf(refute_0_264,plain,
is_a_theorem(implies(X_5860,implies(X_4033,X_5860))),
inference(subst,[],[refute_0_178:[bind(X_4032,$fot(X_5860))]]) ).
cnf(refute_0_265,plain,
( ~ is_a_theorem(implies(X_5818,X_5819))
| ~ is_a_theorem(implies(implies(X_5818,X_5819),implies(implies(X_5820,X_5818),implies(X_5820,X_5819))))
| is_a_theorem(implies(implies(X_5820,X_5818),implies(X_5820,X_5819))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_5818,X_5819))),bind(Y,$fot(implies(implies(X_5820,X_5818),implies(X_5820,X_5819))))]]) ).
cnf(refute_0_266,plain,
( ~ is_a_theorem(implies(X_5818,X_5819))
| is_a_theorem(implies(implies(X_5820,X_5818),implies(X_5820,X_5819))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5818,X_5819),implies(implies(X_5820,X_5818),implies(X_5820,X_5819)))) )],[refute_0_247,refute_0_265]) ).
cnf(refute_0_267,plain,
( ~ is_a_theorem(implies(X_5860,implies(X_4033,X_5860)))
| is_a_theorem(implies(implies(X_5862,X_5860),implies(X_5862,implies(X_4033,X_5860)))) ),
inference(subst,[],[refute_0_266:[bind(X_5818,$fot(X_5860)),bind(X_5819,$fot(implies(X_4033,X_5860))),bind(X_5820,$fot(X_5862))]]) ).
cnf(refute_0_268,plain,
is_a_theorem(implies(implies(X_5862,X_5860),implies(X_5862,implies(X_4033,X_5860)))),
inference(resolve,[$cnf( is_a_theorem(implies(X_5860,implies(X_4033,X_5860))) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
is_a_theorem(implies(implies(X_5865,X_5864),implies(X_5865,implies(X_5863,X_5864)))),
inference(subst,[],[refute_0_268:[bind(X_4033,$fot(X_5863)),bind(X_5860,$fot(X_5864)),bind(X_5862,$fot(X_5865))]]) ).
cnf(refute_0_270,plain,
( ~ is_a_theorem(implies(X_5865,X_5864))
| is_a_theorem(implies(X_5865,implies(X_5863,X_5864))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5865,X_5864),implies(X_5865,implies(X_5863,X_5864)))) )],[refute_0_269,refute_0_263]) ).
cnf(refute_0_271,plain,
( ~ is_a_theorem(implies(implies(X_8784,implies(implies(X_8785,X_8785),X_8787)),implies(X_8784,implies(X_8786,X_8787))))
| is_a_theorem(implies(implies(X_8784,implies(implies(X_8785,X_8785),X_8787)),implies(X_5863,implies(X_8784,implies(X_8786,X_8787))))) ),
inference(subst,[],[refute_0_270:[bind(X_5864,$fot(implies(X_8784,implies(X_8786,X_8787)))),bind(X_5865,$fot(implies(X_8784,implies(implies(X_8785,X_8785),X_8787))))]]) ).
cnf(refute_0_272,plain,
( ~ is_a_theorem(implies(implies(implies(X_6730,X_6730),X_6732),implies(X_6731,X_6732)))
| is_a_theorem(implies(implies(X_5820,implies(implies(X_6730,X_6730),X_6732)),implies(X_5820,implies(X_6731,X_6732)))) ),
inference(subst,[],[refute_0_266:[bind(X_5818,$fot(implies(implies(X_6730,X_6730),X_6732))),bind(X_5819,$fot(implies(X_6731,X_6732)))]]) ).
cnf(refute_0_273,plain,
is_a_theorem(implies(implies(implies(X_5961,X_5961),X_6721),X_6721)),
inference(subst,[],[refute_0_234:[bind(X_5928,$fot(X_6721))]]) ).
cnf(refute_0_274,plain,
( ~ is_a_theorem(implies(implies(implies(X_5961,X_5961),X_6721),X_6721))
| is_a_theorem(implies(implies(implies(X_5961,X_5961),X_6721),implies(X_6720,X_6721))) ),
inference(subst,[],[refute_0_270:[bind(X_5863,$fot(X_6720)),bind(X_5864,$fot(X_6721)),bind(X_5865,$fot(implies(implies(X_5961,X_5961),X_6721)))]]) ).
cnf(refute_0_275,plain,
is_a_theorem(implies(implies(implies(X_5961,X_5961),X_6721),implies(X_6720,X_6721))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5961,X_5961),X_6721),X_6721)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
is_a_theorem(implies(implies(implies(X_6730,X_6730),X_6732),implies(X_6731,X_6732))),
inference(subst,[],[refute_0_275:[bind(X_5961,$fot(X_6730)),bind(X_6720,$fot(X_6731)),bind(X_6721,$fot(X_6732))]]) ).
cnf(refute_0_277,plain,
is_a_theorem(implies(implies(X_5820,implies(implies(X_6730,X_6730),X_6732)),implies(X_5820,implies(X_6731,X_6732)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6730,X_6730),X_6732),implies(X_6731,X_6732))) )],[refute_0_276,refute_0_272]) ).
cnf(refute_0_278,plain,
is_a_theorem(implies(implies(X_8784,implies(implies(X_8785,X_8785),X_8787)),implies(X_8784,implies(X_8786,X_8787)))),
inference(subst,[],[refute_0_277:[bind(X_5820,$fot(X_8784)),bind(X_6730,$fot(X_8785)),bind(X_6731,$fot(X_8786)),bind(X_6732,$fot(X_8787))]]) ).
cnf(refute_0_279,plain,
is_a_theorem(implies(implies(X_8784,implies(implies(X_8785,X_8785),X_8787)),implies(X_5863,implies(X_8784,implies(X_8786,X_8787))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8784,implies(implies(X_8785,X_8785),X_8787)),implies(X_8784,implies(X_8786,X_8787)))) )],[refute_0_278,refute_0_271]) ).
cnf(refute_0_280,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(implies(X_8785,X_8785),X_10952)),implies(X_5863,implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952))))),
inference(subst,[],[refute_0_279:[bind(X_8784,$fot(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952))),bind(X_8787,$fot(X_10952))]]) ).
cnf(refute_0_281,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),X_10012))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),X_10012),X_10012))
| is_a_theorem(X_10012) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),X_10012))),bind(Y,$fot(X_10012))]]) ).
cnf(refute_0_282,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327)),X_5928),implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327)),X_5928),X_5928)) ),
inference(subst,[],[refute_0_206:[bind(X_5929,$fot(implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327))))]]) ).
cnf(refute_0_283,plain,
( ~ is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,X_5965)),implies(X_5964,X_5965)),X_5965))
| ~ is_a_theorem(implies(implies(implies(implies(X_5964,implies(X_5964,X_5965)),implies(X_5964,X_5965)),X_5965),X_5965))
| is_a_theorem(X_5965) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_5964,implies(X_5964,X_5965)),implies(X_5964,X_5965)),X_5965))),bind(Y,$fot(X_5965))]]) ).
cnf(refute_0_284,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_5936,implies(implies(X_5936,X_5935),X_5935))))
| is_a_theorem(implies(implies(implies(implies(X_5936,X_5935),X_5935),X_2),implies(X_6,implies(X_5936,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_5936)),bind(X_5,$fot(implies(implies(X_5936,X_5935),X_5935)))]]) ).
cnf(refute_0_285,plain,
( ~ is_a_theorem(implies(implies(X_4030,X_4029),X_4028))
| ~ is_a_theorem(implies(implies(implies(X_4030,X_4029),X_4028),implies(X_4031,implies(X_4029,X_4028))))
| is_a_theorem(implies(X_4031,implies(X_4029,X_4028))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_4030,X_4029),X_4028))),bind(Y,$fot(implies(X_4031,implies(X_4029,X_4028))))]]) ).
cnf(refute_0_286,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4021,implies(X_4022,X_4021))))
| is_a_theorem(implies(implies(implies(X_4022,X_4021),X_2),implies(X_6,implies(X_4021,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_4021)),bind(X_5,$fot(implies(X_4022,X_4021)))]]) ).
cnf(refute_0_287,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_4021,implies(X_4022,X_4021)))),
inference(subst,[],[refute_0_174:[bind(X_4017,$fot(X_4021)),bind(X_4018,$fot(X_4022)),bind(X_4020,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_288,plain,
is_a_theorem(implies(implies(implies(X_4022,X_4021),X_2),implies(X_6,implies(X_4021,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_4021,implies(X_4022,X_4021)))) )],[refute_0_287,refute_0_286]) ).
cnf(refute_0_289,plain,
is_a_theorem(implies(implies(implies(X_4030,X_4029),X_4028),implies(X_4031,implies(X_4029,X_4028)))),
inference(subst,[],[refute_0_288:[bind(X_2,$fot(X_4028)),bind(X_4021,$fot(X_4029)),bind(X_4022,$fot(X_4030)),bind(X_6,$fot(X_4031))]]) ).
cnf(refute_0_290,plain,
( ~ is_a_theorem(implies(implies(X_4030,X_4029),X_4028))
| is_a_theorem(implies(X_4031,implies(X_4029,X_4028))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_4030,X_4029),X_4028),implies(X_4031,implies(X_4029,X_4028)))) )],[refute_0_289,refute_0_285]) ).
cnf(refute_0_291,plain,
( ~ is_a_theorem(implies(implies(implies(X_5929,X_5928),X_5929),implies(implies(X_5929,X_5928),X_5928)))
| is_a_theorem(implies(X_4031,implies(X_5929,implies(implies(X_5929,X_5928),X_5928)))) ),
inference(subst,[],[refute_0_290:[bind(X_4028,$fot(implies(implies(X_5929,X_5928),X_5928))),bind(X_4029,$fot(X_5929)),bind(X_4030,$fot(implies(X_5929,X_5928)))]]) ).
cnf(refute_0_292,plain,
is_a_theorem(implies(X_4031,implies(X_5929,implies(implies(X_5929,X_5928),X_5928)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5929,X_5928),X_5929),implies(implies(X_5929,X_5928),X_5928))) )],[refute_0_205,refute_0_291]) ).
cnf(refute_0_293,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_5936,implies(implies(X_5936,X_5935),X_5935)))),
inference(subst,[],[refute_0_292:[bind(X_4031,$fot(implies(X_2,X_3))),bind(X_5928,$fot(X_5935)),bind(X_5929,$fot(X_5936))]]) ).
cnf(refute_0_294,plain,
is_a_theorem(implies(implies(implies(implies(X_5936,X_5935),X_5935),X_2),implies(X_6,implies(X_5936,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_5936,implies(implies(X_5936,X_5935),X_5935)))) )],[refute_0_293,refute_0_284]) ).
cnf(refute_0_295,plain,
is_a_theorem(implies(implies(implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956)),X_5956),implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956)))),
inference(subst,[],[refute_0_294:[bind(X_2,$fot(X_5956)),bind(X_5935,$fot(implies(X_5936,X_5956))),bind(X_6,$fot(implies(X_5936,implies(X_5936,X_5956))))]]) ).
cnf(refute_0_296,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956)),X_5956),implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956))))
| is_a_theorem(implies(implies(implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956)),X_5956),X_5956)) ),
inference(subst,[],[refute_0_206:[bind(X_5928,$fot(X_5956)),bind(X_5929,$fot(implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956))))]]) ).
cnf(refute_0_297,plain,
is_a_theorem(implies(implies(implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956)),X_5956),X_5956)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956)),X_5956),implies(implies(X_5936,implies(X_5936,X_5956)),implies(X_5936,X_5956)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
is_a_theorem(implies(implies(implies(implies(X_5964,implies(X_5964,X_5965)),implies(X_5964,X_5965)),X_5965),X_5965)),
inference(subst,[],[refute_0_297:[bind(X_5936,$fot(X_5964)),bind(X_5956,$fot(X_5965))]]) ).
cnf(refute_0_299,plain,
( ~ is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,X_5965)),implies(X_5964,X_5965)),X_5965))
| is_a_theorem(X_5965) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_5964,implies(X_5964,X_5965)),implies(X_5964,X_5965)),X_5965),X_5965)) )],[refute_0_298,refute_0_283]) ).
cnf(refute_0_300,plain,
( ~ is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))),implies(X_5964,implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))),implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322)))))
| is_a_theorem(implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322)))) ),
inference(subst,[],[refute_0_299:[bind(X_5965,$fot(implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322)))))]]) ).
cnf(refute_0_301,plain,
( ~ is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))),implies(X_5964,implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))),implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312))))))
| is_a_theorem(implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312))))) ),
inference(subst,[],[refute_0_299:[bind(X_5965,$fot(implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312))))))]]) ).
cnf(refute_0_302,plain,
( ~ is_a_theorem(implies(X_7397,implies(implies(X_7397,X_7399),implies(X_7398,X_7399))))
| is_a_theorem(implies(X_7397,implies(X_5863,implies(implies(X_7397,X_7399),implies(X_7398,X_7399))))) ),
inference(subst,[],[refute_0_270:[bind(X_5864,$fot(implies(implies(X_7397,X_7399),implies(X_7398,X_7399)))),bind(X_5865,$fot(X_7397))]]) ).
cnf(refute_0_303,plain,
( ~ is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),implies(X_5964,implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396)))))
| is_a_theorem(implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396)))) ),
inference(subst,[],[refute_0_299:[bind(X_5965,$fot(implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396)))))]]) ).
cnf(refute_0_304,plain,
( ~ is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))),implies(X_5964,implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))),implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392))))))
| is_a_theorem(implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392))))) ),
inference(subst,[],[refute_0_299:[bind(X_5965,$fot(implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392))))))]]) ).
cnf(refute_0_305,plain,
( ~ is_a_theorem(implies(implies(implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386))),implies(X_7385,X_7386)),implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386)))))
| is_a_theorem(implies(X_4048,implies(X_4047,implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386)))))) ),
inference(subst,[],[refute_0_182:[bind(X_4045,$fot(implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386))))),bind(X_4046,$fot(implies(X_7385,X_7386)))]]) ).
cnf(refute_0_306,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_7375,X_7374),implies(X_7375,implies(X_7372,implies(X_7373,X_7374))))))
| is_a_theorem(implies(implies(implies(X_7375,implies(X_7372,implies(X_7373,X_7374))),X_2),implies(X_6,implies(implies(X_7375,X_7374),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(X_7375,X_7374))),bind(X_5,$fot(implies(X_7375,implies(X_7372,implies(X_7373,X_7374)))))]]) ).
cnf(refute_0_307,plain,
( ~ is_a_theorem(X_4035)
| ~ is_a_theorem(implies(X_4035,implies(X_4036,X_4035)))
| is_a_theorem(implies(X_4036,X_4035)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_4035)),bind(Y,$fot(implies(X_4036,X_4035)))]]) ).
cnf(refute_0_308,plain,
is_a_theorem(implies(X_4035,implies(X_4036,X_4035))),
inference(subst,[],[refute_0_178:[bind(X_4032,$fot(X_4035)),bind(X_4033,$fot(X_4036))]]) ).
cnf(refute_0_309,plain,
( ~ is_a_theorem(X_4035)
| is_a_theorem(implies(X_4036,X_4035)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_4035,implies(X_4036,X_4035))) )],[refute_0_308,refute_0_307]) ).
cnf(refute_0_310,plain,
( ~ is_a_theorem(implies(implies(X_5887,X_5886),implies(X_5887,implies(X_5884,implies(X_5885,X_5886)))))
| is_a_theorem(implies(X_4036,implies(implies(X_5887,X_5886),implies(X_5887,implies(X_5884,implies(X_5885,X_5886)))))) ),
inference(subst,[],[refute_0_309:[bind(X_4035,$fot(implies(implies(X_5887,X_5886),implies(X_5887,implies(X_5884,implies(X_5885,X_5886))))))]]) ).
cnf(refute_0_311,plain,
( ~ is_a_theorem(X_3613)
| ~ is_a_theorem(implies(X_3613,implies(X_3615,implies(X_3612,implies(X_3614,X_3615)))))
| is_a_theorem(implies(X_3615,implies(X_3612,implies(X_3614,X_3615)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3613)),bind(Y,$fot(implies(X_3615,implies(X_3612,implies(X_3614,X_3615)))))]]) ).
cnf(refute_0_312,plain,
( ~ is_a_theorem(implies(implies(X_666,implies(X_663,X_665)),X_664))
| ~ is_a_theorem(implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664))))
| is_a_theorem(implies(X_662,implies(X_665,X_664))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_666,implies(X_663,X_665)),X_664))),bind(Y,$fot(implies(X_662,implies(X_665,X_664))))]]) ).
cnf(refute_0_313,plain,
( ~ is_a_theorem(implies(implies(X_666,implies(X_663,X_665)),X_664))
| is_a_theorem(implies(X_662,implies(X_665,X_664))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664)))) )],[refute_0_79,refute_0_312]) ).
cnf(refute_0_314,plain,
( ~ is_a_theorem(implies(implies(X_3611,implies(X_663,X_665)),implies(X_3611,implies(X_663,X_665))))
| is_a_theorem(implies(X_662,implies(X_665,implies(X_3611,implies(X_663,X_665))))) ),
inference(subst,[],[refute_0_313:[bind(X_664,$fot(implies(X_3611,implies(X_663,X_665)))),bind(X_666,$fot(X_3611))]]) ).
cnf(refute_0_315,plain,
is_a_theorem(implies(implies(X_3611,implies(X_663,X_665)),implies(X_3611,implies(X_663,X_665)))),
inference(subst,[],[refute_0_169:[bind(X_3607,$fot(implies(X_663,X_665))),bind(X_3608,$fot(X_3611))]]) ).
cnf(refute_0_316,plain,
is_a_theorem(implies(X_662,implies(X_665,implies(X_3611,implies(X_663,X_665))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_3611,implies(X_663,X_665)),implies(X_3611,implies(X_663,X_665)))) )],[refute_0_315,refute_0_314]) ).
cnf(refute_0_317,plain,
is_a_theorem(implies(X_3613,implies(X_3615,implies(X_3612,implies(X_3614,X_3615))))),
inference(subst,[],[refute_0_316:[bind(X_3611,$fot(X_3612)),bind(X_662,$fot(X_3613)),bind(X_663,$fot(X_3614)),bind(X_665,$fot(X_3615))]]) ).
cnf(refute_0_318,plain,
( ~ is_a_theorem(X_3613)
| is_a_theorem(implies(X_3615,implies(X_3612,implies(X_3614,X_3615)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_3613,implies(X_3615,implies(X_3612,implies(X_3614,X_3615))))) )],[refute_0_317,refute_0_311]) ).
cnf(refute_0_319,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(X_3753,implies(X_3750,implies(X_3752,X_3753)))) ),
inference(subst,[],[refute_0_318:[bind(X_3612,$fot(X_3750)),bind(X_3613,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))),bind(X_3614,$fot(X_3752)),bind(X_3615,$fot(X_3753))]]) ).
cnf(refute_0_320,plain,
is_a_theorem(implies(X_3753,implies(X_3750,implies(X_3752,X_3753)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_319]) ).
cnf(refute_0_321,plain,
is_a_theorem(implies(X_5860,implies(X_3750,implies(X_3752,X_5860)))),
inference(subst,[],[refute_0_320:[bind(X_3753,$fot(X_5860))]]) ).
cnf(refute_0_322,plain,
( ~ is_a_theorem(implies(X_5860,implies(X_3750,implies(X_3752,X_5860))))
| is_a_theorem(implies(implies(X_5862,X_5860),implies(X_5862,implies(X_3750,implies(X_3752,X_5860))))) ),
inference(subst,[],[refute_0_266:[bind(X_5818,$fot(X_5860)),bind(X_5819,$fot(implies(X_3750,implies(X_3752,X_5860)))),bind(X_5820,$fot(X_5862))]]) ).
cnf(refute_0_323,plain,
is_a_theorem(implies(implies(X_5862,X_5860),implies(X_5862,implies(X_3750,implies(X_3752,X_5860))))),
inference(resolve,[$cnf( is_a_theorem(implies(X_5860,implies(X_3750,implies(X_3752,X_5860)))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
is_a_theorem(implies(implies(X_5887,X_5886),implies(X_5887,implies(X_5884,implies(X_5885,X_5886))))),
inference(subst,[],[refute_0_323:[bind(X_3750,$fot(X_5884)),bind(X_3752,$fot(X_5885)),bind(X_5860,$fot(X_5886)),bind(X_5862,$fot(X_5887))]]) ).
cnf(refute_0_325,plain,
is_a_theorem(implies(X_4036,implies(implies(X_5887,X_5886),implies(X_5887,implies(X_5884,implies(X_5885,X_5886)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5887,X_5886),implies(X_5887,implies(X_5884,implies(X_5885,X_5886))))) )],[refute_0_324,refute_0_310]) ).
cnf(refute_0_326,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_7375,X_7374),implies(X_7375,implies(X_7372,implies(X_7373,X_7374)))))),
inference(subst,[],[refute_0_325:[bind(X_4036,$fot(implies(X_2,X_3))),bind(X_5884,$fot(X_7372)),bind(X_5885,$fot(X_7373)),bind(X_5886,$fot(X_7374)),bind(X_5887,$fot(X_7375))]]) ).
cnf(refute_0_327,plain,
is_a_theorem(implies(implies(implies(X_7375,implies(X_7372,implies(X_7373,X_7374))),X_2),implies(X_6,implies(implies(X_7375,X_7374),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_7375,X_7374),implies(X_7375,implies(X_7372,implies(X_7373,X_7374)))))) )],[refute_0_326,refute_0_306]) ).
cnf(refute_0_328,plain,
is_a_theorem(implies(implies(implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386))),implies(X_7385,X_7386)),implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386))))),
inference(subst,[],[refute_0_327:[bind(X_2,$fot(implies(X_7385,X_7386))),bind(X_6,$fot(X_7383)),bind(X_7372,$fot(implies(X_7383,X_7386))),bind(X_7373,$fot(X_7385)),bind(X_7374,$fot(X_7386)),bind(X_7375,$fot(X_7383))]]) ).
cnf(refute_0_329,plain,
is_a_theorem(implies(X_4048,implies(X_4047,implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386))),implies(X_7385,X_7386)),implies(X_7383,implies(implies(X_7383,X_7386),implies(X_7385,X_7386))))) )],[refute_0_328,refute_0_305]) ).
cnf(refute_0_330,plain,
is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))),implies(X_5964,implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))),implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))),
inference(subst,[],[refute_0_329:[bind(X_4047,$fot(X_7388)),bind(X_4048,$fot(implies(implies(X_5964,implies(X_5964,implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))),implies(X_5964,implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))))),bind(X_7383,$fot(X_7390)),bind(X_7385,$fot(X_7391)),bind(X_7386,$fot(X_7392))]]) ).
cnf(refute_0_331,plain,
is_a_theorem(implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))),implies(X_5964,implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))),implies(X_7388,implies(X_7390,implies(implies(X_7390,X_7392),implies(X_7391,X_7392)))))) )],[refute_0_330,refute_0_304]) ).
cnf(refute_0_332,plain,
is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),implies(X_5964,implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),
inference(subst,[],[refute_0_331:[bind(X_7388,$fot(implies(implies(X_5964,implies(X_5964,implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),implies(X_5964,implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))))),bind(X_7390,$fot(X_7394)),bind(X_7391,$fot(X_7395)),bind(X_7392,$fot(X_7396))]]) ).
cnf(refute_0_333,plain,
is_a_theorem(implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),implies(X_5964,implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))) )],[refute_0_332,refute_0_303]) ).
cnf(refute_0_334,plain,
is_a_theorem(implies(X_7397,implies(implies(X_7397,X_7399),implies(X_7398,X_7399)))),
inference(subst,[],[refute_0_333:[bind(X_7394,$fot(X_7397)),bind(X_7395,$fot(X_7398)),bind(X_7396,$fot(X_7399))]]) ).
cnf(refute_0_335,plain,
is_a_theorem(implies(X_7397,implies(X_5863,implies(implies(X_7397,X_7399),implies(X_7398,X_7399))))),
inference(resolve,[$cnf( is_a_theorem(implies(X_7397,implies(implies(X_7397,X_7399),implies(X_7398,X_7399)))) )],[refute_0_334,refute_0_302]) ).
cnf(refute_0_336,plain,
is_a_theorem(implies(implies(implies(X_7398,X_7399),X_8885),implies(X_8887,implies(implies(implies(implies(X_7398,X_7399),X_8885),X_7399),implies(X_7398,X_7399))))),
inference(subst,[],[refute_0_335:[bind(X_5863,$fot(X_8887)),bind(X_7397,$fot(implies(implies(X_7398,X_7399),X_8885)))]]) ).
cnf(refute_0_337,plain,
( ~ is_a_theorem(implies(implies(X_671,X_670),implies(X_672,implies(X_669,X_671))))
| ~ is_a_theorem(implies(implies(implies(X_671,X_670),implies(X_672,implies(X_669,X_671))),implies(X_667,implies(X_668,implies(X_672,implies(X_669,X_671))))))
| is_a_theorem(implies(X_667,implies(X_668,implies(X_672,implies(X_669,X_671))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_671,X_670),implies(X_672,implies(X_669,X_671))))),bind(Y,$fot(implies(X_667,implies(X_668,implies(X_672,implies(X_669,X_671))))))]]) ).
cnf(refute_0_338,plain,
( ~ is_a_theorem(implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664))))
| is_a_theorem(implies(implies(implies(X_665,X_664),implies(X_666,implies(X_663,X_665))),implies(X_6,implies(X_662,implies(X_666,implies(X_663,X_665)))))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(implies(X_666,implies(X_663,X_665)))),bind(X_3,$fot(X_664)),bind(X_4,$fot(X_662)),bind(X_5,$fot(implies(X_665,X_664)))]]) ).
cnf(refute_0_339,plain,
is_a_theorem(implies(implies(implies(X_665,X_664),implies(X_666,implies(X_663,X_665))),implies(X_6,implies(X_662,implies(X_666,implies(X_663,X_665)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_666,implies(X_663,X_665)),X_664),implies(X_662,implies(X_665,X_664)))) )],[refute_0_79,refute_0_338]) ).
cnf(refute_0_340,plain,
is_a_theorem(implies(implies(implies(X_671,X_670),implies(X_672,implies(X_669,X_671))),implies(X_667,implies(X_668,implies(X_672,implies(X_669,X_671)))))),
inference(subst,[],[refute_0_339:[bind(X_6,$fot(X_667)),bind(X_662,$fot(X_668)),bind(X_663,$fot(X_669)),bind(X_664,$fot(X_670)),bind(X_665,$fot(X_671)),bind(X_666,$fot(X_672))]]) ).
cnf(refute_0_341,plain,
( ~ is_a_theorem(implies(implies(X_671,X_670),implies(X_672,implies(X_669,X_671))))
| is_a_theorem(implies(X_667,implies(X_668,implies(X_672,implies(X_669,X_671))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_671,X_670),implies(X_672,implies(X_669,X_671))),implies(X_667,implies(X_668,implies(X_672,implies(X_669,X_671)))))) )],[refute_0_340,refute_0_337]) ).
cnf(refute_0_342,plain,
( ~ is_a_theorem(implies(implies(implies(X_7398,X_7399),X_8885),implies(X_8887,implies(implies(implies(implies(X_7398,X_7399),X_8885),X_7399),implies(X_7398,X_7399)))))
| is_a_theorem(implies(X_8882,implies(X_8883,implies(X_8887,implies(implies(implies(implies(X_7398,X_7399),X_8885),X_7399),implies(X_7398,X_7399)))))) ),
inference(subst,[],[refute_0_341:[bind(X_667,$fot(X_8882)),bind(X_668,$fot(X_8883)),bind(X_669,$fot(implies(implies(implies(X_7398,X_7399),X_8885),X_7399))),bind(X_670,$fot(X_8885)),bind(X_671,$fot(implies(X_7398,X_7399))),bind(X_672,$fot(X_8887))]]) ).
cnf(refute_0_343,plain,
is_a_theorem(implies(X_8882,implies(X_8883,implies(X_8887,implies(implies(implies(implies(X_7398,X_7399),X_8885),X_7399),implies(X_7398,X_7399)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_7398,X_7399),X_8885),implies(X_8887,implies(implies(implies(implies(X_7398,X_7399),X_8885),X_7399),implies(X_7398,X_7399))))) )],[refute_0_336,refute_0_342]) ).
cnf(refute_0_344,plain,
is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))),implies(X_5964,implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))),implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))),
inference(subst,[],[refute_0_343:[bind(X_7398,$fot(X_9311)),bind(X_7399,$fot(X_9312)),bind(X_8882,$fot(implies(implies(X_5964,implies(X_5964,implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))),implies(X_5964,implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))))),bind(X_8883,$fot(X_9314)),bind(X_8885,$fot(X_9315)),bind(X_8887,$fot(X_9316))]]) ).
cnf(refute_0_345,plain,
is_a_theorem(implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))),implies(X_5964,implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))),implies(X_9314,implies(X_9316,implies(implies(implies(implies(X_9311,X_9312),X_9315),X_9312),implies(X_9311,X_9312)))))) )],[refute_0_344,refute_0_301]) ).
cnf(refute_0_346,plain,
is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))),implies(X_5964,implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))),implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))),
inference(subst,[],[refute_0_345:[bind(X_9311,$fot(X_9321)),bind(X_9312,$fot(X_9322)),bind(X_9314,$fot(implies(implies(X_5964,implies(X_5964,implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))),implies(X_5964,implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))))),bind(X_9315,$fot(X_9324)),bind(X_9316,$fot(X_9325))]]) ).
cnf(refute_0_347,plain,
is_a_theorem(implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))),implies(X_5964,implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))),implies(X_9325,implies(implies(implies(implies(X_9321,X_9322),X_9324),X_9322),implies(X_9321,X_9322))))) )],[refute_0_346,refute_0_300]) ).
cnf(refute_0_348,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327)),X_5928),implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327)))),
inference(subst,[],[refute_0_347:[bind(X_9321,$fot(X_9326)),bind(X_9322,$fot(X_9327)),bind(X_9324,$fot(X_9328)),bind(X_9325,$fot(implies(implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327)),X_5928)))]]) ).
cnf(refute_0_349,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327)),X_5928),X_5928)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327)),X_5928),implies(implies(implies(implies(X_9326,X_9327),X_9328),X_9327),implies(X_9326,X_9327)))) )],[refute_0_348,refute_0_282]) ).
cnf(refute_0_350,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),X_10012),X_10012)),
inference(subst,[],[refute_0_349:[bind(X_5928,$fot(X_10012)),bind(X_9326,$fot(X_10013)),bind(X_9327,$fot(X_10014)),bind(X_9328,$fot(X_10015))]]) ).
cnf(refute_0_351,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),X_10012))
| is_a_theorem(X_10012) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),X_10012),X_10012)) )],[refute_0_350,refute_0_281]) ).
cnf(refute_0_352,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(implies(X_8785,X_8785),X_10952)),implies(X_5863,implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952)))))
| is_a_theorem(implies(X_5863,implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952)))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(X_5863,implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952))))),bind(X_10013,$fot(implies(X_8785,X_8785))),bind(X_10014,$fot(X_10952)),bind(X_10015,$fot(X_10953))]]) ).
cnf(refute_0_353,plain,
is_a_theorem(implies(X_5863,implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(implies(X_8785,X_8785),X_10952)),implies(X_5863,implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952))))) )],[refute_0_280,refute_0_352]) ).
cnf(refute_0_354,plain,
is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952)))),implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952)))),
inference(subst,[],[refute_0_353:[bind(X_5863,$fot(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952))))))]]) ).
cnf(refute_0_355,plain,
( ~ is_a_theorem(implies(implies(X_285,implies(implies(X_284,X_287),implies(X_287,X_286))),implies(X_286,X_288)))
| ~ is_a_theorem(implies(implies(implies(X_285,implies(implies(X_284,X_287),implies(X_287,X_286))),implies(X_286,X_288)),implies(X_289,implies(X_283,implies(X_286,X_288)))))
| is_a_theorem(implies(X_289,implies(X_283,implies(X_286,X_288)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_285,implies(implies(X_284,X_287),implies(X_287,X_286))),implies(X_286,X_288)))),bind(Y,$fot(implies(X_289,implies(X_283,implies(X_286,X_288)))))]]) ).
cnf(refute_0_356,plain,
( ~ is_a_theorem(implies(implies(implies(X_153,X_155),implies(implies(X_151,X_154),implies(X_154,X_153))),implies(X_150,implies(X_152,implies(implies(X_151,X_154),implies(X_154,X_153))))))
| is_a_theorem(implies(implies(implies(X_152,implies(implies(X_151,X_154),implies(X_154,X_153))),implies(X_153,X_155)),implies(X_6,implies(X_150,implies(X_153,X_155))))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(implies(X_153,X_155))),bind(X_3,$fot(implies(implies(X_151,X_154),implies(X_154,X_153)))),bind(X_4,$fot(X_150)),bind(X_5,$fot(implies(X_152,implies(implies(X_151,X_154),implies(X_154,X_153)))))]]) ).
cnf(refute_0_357,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71),implies(X_68,implies(X_69,X_71))))
| is_a_theorem(implies(implies(implies(X_69,X_71),implies(implies(X_67,X_70),implies(X_70,X_69))),implies(X_6,implies(X_68,implies(implies(X_67,X_70),implies(X_70,X_69)))))) ),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(implies(implies(X_67,X_70),implies(X_70,X_69)))),bind(X_3,$fot(X_71)),bind(X_4,$fot(X_68)),bind(X_5,$fot(implies(X_69,X_71)))]]) ).
cnf(refute_0_358,plain,
is_a_theorem(implies(implies(implies(X_69,X_71),implies(implies(X_67,X_70),implies(X_70,X_69))),implies(X_6,implies(X_68,implies(implies(X_67,X_70),implies(X_70,X_69)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_67,X_70),implies(X_70,X_69)),X_71),implies(X_68,implies(X_69,X_71)))) )],[refute_0_36,refute_0_357]) ).
cnf(refute_0_359,plain,
is_a_theorem(implies(implies(implies(X_153,X_155),implies(implies(X_151,X_154),implies(X_154,X_153))),implies(X_150,implies(X_152,implies(implies(X_151,X_154),implies(X_154,X_153)))))),
inference(subst,[],[refute_0_358:[bind(X_6,$fot(X_150)),bind(X_67,$fot(X_151)),bind(X_68,$fot(X_152)),bind(X_69,$fot(X_153)),bind(X_70,$fot(X_154)),bind(X_71,$fot(X_155))]]) ).
cnf(refute_0_360,plain,
is_a_theorem(implies(implies(implies(X_152,implies(implies(X_151,X_154),implies(X_154,X_153))),implies(X_153,X_155)),implies(X_6,implies(X_150,implies(X_153,X_155))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_153,X_155),implies(implies(X_151,X_154),implies(X_154,X_153))),implies(X_150,implies(X_152,implies(implies(X_151,X_154),implies(X_154,X_153)))))) )],[refute_0_359,refute_0_356]) ).
cnf(refute_0_361,plain,
is_a_theorem(implies(implies(implies(X_285,implies(implies(X_284,X_287),implies(X_287,X_286))),implies(X_286,X_288)),implies(X_289,implies(X_283,implies(X_286,X_288))))),
inference(subst,[],[refute_0_360:[bind(X_150,$fot(X_283)),bind(X_151,$fot(X_284)),bind(X_152,$fot(X_285)),bind(X_153,$fot(X_286)),bind(X_154,$fot(X_287)),bind(X_155,$fot(X_288)),bind(X_6,$fot(X_289))]]) ).
cnf(refute_0_362,plain,
( ~ is_a_theorem(implies(implies(X_285,implies(implies(X_284,X_287),implies(X_287,X_286))),implies(X_286,X_288)))
| is_a_theorem(implies(X_289,implies(X_283,implies(X_286,X_288)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_285,implies(implies(X_284,X_287),implies(X_287,X_286))),implies(X_286,X_288)),implies(X_289,implies(X_283,implies(X_286,X_288))))) )],[refute_0_361,refute_0_355]) ).
cnf(refute_0_363,plain,
( ~ is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952)))),implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952))))
| is_a_theorem(implies(X_13984,implies(X_13978,implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952))))) ),
inference(subst,[],[refute_0_362:[bind(X_283,$fot(X_13978)),bind(X_284,$fot(X_13979)),bind(X_285,$fot(X_13980)),bind(X_286,$fot(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952))),bind(X_287,$fot(X_13982)),bind(X_288,$fot(implies(X_8786,X_10952))),bind(X_289,$fot(X_13984))]]) ).
cnf(refute_0_364,plain,
is_a_theorem(implies(X_13984,implies(X_13978,implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952)))),implies(implies(implies(implies(implies(X_8785,X_8785),X_10952),X_10953),X_10952),implies(X_8786,X_10952)))) )],[refute_0_354,refute_0_363]) ).
cnf(refute_0_365,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_14249,implies(implies(implies(implies(implies(X_14251,X_14251),X_14247),X_14248),X_14247),implies(X_14252,X_14247))))),
inference(subst,[],[refute_0_364:[bind(X_10952,$fot(X_14247)),bind(X_10953,$fot(X_14248)),bind(X_13978,$fot(X_14249)),bind(X_13984,$fot(implies(X_2,X_3))),bind(X_8785,$fot(X_14251)),bind(X_8786,$fot(X_14252))]]) ).
cnf(refute_0_366,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_14251,X_14251),X_14247),X_14248),X_14247),implies(X_14252,X_14247)),X_2),implies(X_6,implies(X_14249,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_14249,implies(implies(implies(implies(implies(X_14251,X_14251),X_14247),X_14248),X_14247),implies(X_14252,X_14247))))) )],[refute_0_365,refute_0_262]) ).
cnf(refute_0_367,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747)),X_19747),implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747)))),
inference(subst,[],[refute_0_366:[bind(X_14247,$fot(X_19747)),bind(X_14248,$fot(X_19743)),bind(X_14249,$fot(X_19744)),bind(X_14251,$fot(X_19745)),bind(X_14252,$fot(X_19744)),bind(X_2,$fot(X_19747)),bind(X_6,$fot(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747)))]]) ).
cnf(refute_0_368,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747)),X_19747),X_19747)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747)),X_19747),implies(implies(implies(implies(implies(X_19745,X_19745),X_19747),X_19743),X_19747),implies(X_19744,X_19747)))) )],[refute_0_367,refute_0_261]) ).
cnf(refute_0_369,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_19751,X_19751),X_19752),X_19749),X_19752),implies(X_19750,X_19752)),X_19752),X_19752)),
inference(subst,[],[refute_0_368:[bind(X_19743,$fot(X_19749)),bind(X_19744,$fot(X_19750)),bind(X_19745,$fot(X_19751)),bind(X_19747,$fot(X_19752))]]) ).
cnf(refute_0_370,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),X_19752),X_19749),X_19752),implies(X_19750,X_19752)),X_19752))
| is_a_theorem(X_19752) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_19751,X_19751),X_19752),X_19749),X_19752),implies(X_19750,X_19752)),X_19752),X_19752)) )],[refute_0_369,refute_0_260]) ).
cnf(refute_0_371,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),X_19749),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),implies(X_19750,implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484)))),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))))
| is_a_theorem(implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))) ),
inference(subst,[],[refute_0_370:[bind(X_19752,$fot(implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))))]]) ).
cnf(refute_0_372,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_5840),implies(X_5844,implies(implies(X_5841,X_5842),X_5840))))
| is_a_theorem(implies(X_4036,implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_5840),implies(X_5844,implies(implies(X_5841,X_5842),X_5840))))) ),
inference(subst,[],[refute_0_309:[bind(X_4035,$fot(implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_5840),implies(X_5844,implies(implies(X_5841,X_5842),X_5840)))))]]) ).
cnf(refute_0_373,plain,
is_a_theorem(implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_5840),implies(X_5844,implies(implies(X_5841,X_5842),X_5840)))),
inference(subst,[],[refute_0_194:[bind(X_2,$fot(X_5840)),bind(X_5810,$fot(X_5841)),bind(X_5811,$fot(X_5842)),bind(X_5812,$fot(X_5843)),bind(X_6,$fot(X_5844))]]) ).
cnf(refute_0_374,plain,
is_a_theorem(implies(X_4036,implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_5840),implies(X_5844,implies(implies(X_5841,X_5842),X_5840))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_5840),implies(X_5844,implies(implies(X_5841,X_5842),X_5840)))) )],[refute_0_373,refute_0_372]) ).
cnf(refute_0_375,plain,
is_a_theorem(implies(implies(X_33227,X_33227),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225)),implies(X_5844,implies(implies(X_5841,X_5842),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225)))))),
inference(subst,[],[refute_0_374:[bind(X_4036,$fot(implies(X_33227,X_33227))),bind(X_5840,$fot(implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225)))]]) ).
cnf(refute_0_376,plain,
( ~ is_a_theorem(implies(implies(X_33212,X_33212),implies(implies(X_33211,implies(implies(X_33211,X_33210),X_33210)),X_33209)))
| ~ is_a_theorem(implies(implies(implies(X_33212,X_33212),implies(implies(X_33211,implies(implies(X_33211,X_33210),X_33210)),X_33209)),X_33209))
| is_a_theorem(X_33209) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_33212,X_33212),implies(implies(X_33211,implies(implies(X_33211,X_33210),X_33210)),X_33209)))),bind(Y,$fot(X_33209))]]) ).
cnf(refute_0_377,plain,
( ~ is_a_theorem(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),X_29226)))
| ~ is_a_theorem(implies(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),X_29226)),X_29226))
| is_a_theorem(X_29226) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),X_29226)))),bind(Y,$fot(X_29226))]]) ).
cnf(refute_0_378,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),X_19749),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),implies(X_19750,implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198))),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)))
| is_a_theorem(implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)) ),
inference(subst,[],[refute_0_370:[bind(X_19752,$fot(implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)))]]) ).
cnf(refute_0_379,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_22115,X_22113),X_22112),X_22112),X_22115))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X_22115,X_22113),X_22112),X_22112),X_22115),implies(X_22114,X_22115)))
| is_a_theorem(implies(X_22114,X_22115)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_22115,X_22113),X_22112),X_22112),X_22115))),bind(Y,$fot(implies(X_22114,X_22115)))]]) ).
cnf(refute_0_380,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),X_21384),implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384)),implies(X_21383,X_21384)))
| is_a_theorem(implies(X_4031,implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),implies(X_21383,X_21384)))) ),
inference(subst,[],[refute_0_290:[bind(X_4028,$fot(implies(X_21383,X_21384))),bind(X_4029,$fot(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384))),bind(X_4030,$fot(implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),X_21384)))]]) ).
cnf(refute_0_381,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18133,implies(X_18131,X_18132)))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18133,implies(X_18131,X_18132)))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18133,implies(X_18131,X_18132)))))]]) ).
cnf(refute_0_382,plain,
( ~ is_a_theorem(implies(implies(implies(X_5923,X_5922),X_5922),X_5921))
| ~ is_a_theorem(implies(implies(implies(implies(X_5923,X_5922),X_5922),X_5921),implies(X_5924,implies(implies(implies(X_5923,X_5922),X_5923),X_5921))))
| is_a_theorem(implies(X_5924,implies(implies(implies(X_5923,X_5922),X_5923),X_5921))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_5923,X_5922),X_5922),X_5921))),bind(Y,$fot(implies(X_5924,implies(implies(implies(X_5923,X_5922),X_5923),X_5921))))]]) ).
cnf(refute_0_383,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919))))
| is_a_theorem(implies(implies(implies(implies(X_5920,X_5919),X_5919),X_2),implies(X_6,implies(implies(implies(X_5920,X_5919),X_5920),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(implies(X_5920,X_5919),X_5920))),bind(X_5,$fot(implies(implies(X_5920,X_5919),X_5919)))]]) ).
cnf(refute_0_384,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919)))),
inference(subst,[],[refute_0_200:[bind(X_5914,$fot(implies(X_2,X_3))),bind(X_5916,$fot(X_5919)),bind(X_5917,$fot(X_5920))]]) ).
cnf(refute_0_385,plain,
is_a_theorem(implies(implies(implies(implies(X_5920,X_5919),X_5919),X_2),implies(X_6,implies(implies(implies(X_5920,X_5919),X_5920),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_5920,X_5919),X_5920),implies(implies(X_5920,X_5919),X_5919)))) )],[refute_0_384,refute_0_383]) ).
cnf(refute_0_386,plain,
is_a_theorem(implies(implies(implies(implies(X_5923,X_5922),X_5922),X_5921),implies(X_5924,implies(implies(implies(X_5923,X_5922),X_5923),X_5921)))),
inference(subst,[],[refute_0_385:[bind(X_2,$fot(X_5921)),bind(X_5919,$fot(X_5922)),bind(X_5920,$fot(X_5923)),bind(X_6,$fot(X_5924))]]) ).
cnf(refute_0_387,plain,
( ~ is_a_theorem(implies(implies(implies(X_5923,X_5922),X_5922),X_5921))
| is_a_theorem(implies(X_5924,implies(implies(implies(X_5923,X_5922),X_5923),X_5921))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_5923,X_5922),X_5922),X_5921),implies(X_5924,implies(implies(implies(X_5923,X_5922),X_5923),X_5921)))) )],[refute_0_386,refute_0_382]) ).
cnf(refute_0_388,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_15401,X_15398),X_15397),X_15397),X_15401),X_15401),X_15401),implies(X_15402,implies(X_15399,X_15401))))
| is_a_theorem(implies(X_5924,implies(implies(implies(implies(implies(implies(implies(X_15401,X_15398),X_15397),X_15397),X_15401),X_15401),implies(implies(implies(implies(X_15401,X_15398),X_15397),X_15397),X_15401)),implies(X_15402,implies(X_15399,X_15401))))) ),
inference(subst,[],[refute_0_387:[bind(X_5921,$fot(implies(X_15402,implies(X_15399,X_15401)))),bind(X_5922,$fot(X_15401)),bind(X_5923,$fot(implies(implies(implies(implies(X_15401,X_15398),X_15397),X_15397),X_15401)))]]) ).
cnf(refute_0_389,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_14025,implies(implies(implies(implies(implies(X_14026,X_14024),X_14023),X_14023),X_14026),X_14026))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_14026,X_14024),X_14023),X_14023),X_14026),X_14026),X_2),implies(X_6,implies(X_14025,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_14025)),bind(X_5,$fot(implies(implies(implies(implies(implies(X_14026,X_14024),X_14023),X_14023),X_14026),X_14026)))]]) ).
cnf(refute_0_390,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_13610,X_13611),X_13609),X_13609),X_13610),X_13610))
| is_a_theorem(implies(X_4036,implies(implies(implies(implies(implies(X_13610,X_13611),X_13609),X_13609),X_13610),X_13610))) ),
inference(subst,[],[refute_0_309:[bind(X_4035,$fot(implies(implies(implies(implies(implies(X_13610,X_13611),X_13609),X_13609),X_13610),X_13610)))]]) ).
cnf(refute_0_391,plain,
( ~ is_a_theorem(implies(implies(X_8903,X_8902),implies(X_8901,X_8903)))
| ~ is_a_theorem(implies(implies(implies(X_8903,X_8902),implies(X_8901,X_8903)),implies(X_8901,X_8903)))
| is_a_theorem(implies(X_8901,X_8903)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_8903,X_8902),implies(X_8901,X_8903)))),bind(Y,$fot(implies(X_8901,X_8903)))]]) ).
cnf(refute_0_392,plain,
( ~ is_a_theorem(implies(implies(X_6293,X_6294),X_6293))
| ~ is_a_theorem(implies(implies(implies(X_6293,X_6294),X_6293),X_6293))
| is_a_theorem(X_6293) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_6293,X_6294),X_6293))),bind(Y,$fot(X_6293))]]) ).
cnf(refute_0_393,plain,
( ~ is_a_theorem(implies(implies(X_5963,X_5963),implies(implies(implies(X_6291,X_6292),X_6291),X_6291)))
| is_a_theorem(implies(implies(implies(X_6291,X_6292),X_6291),X_6291)) ),
inference(subst,[],[refute_0_236:[bind(X_5962,$fot(implies(implies(implies(X_6291,X_6292),X_6291),X_6291)))]]) ).
cnf(refute_0_394,plain,
( ~ is_a_theorem(implies(implies(X_5963,X_5963),implies(X_6286,implies(implies(implies(X_6287,X_6288),X_6287),X_6287))))
| is_a_theorem(implies(X_6286,implies(implies(implies(X_6287,X_6288),X_6287),X_6287))) ),
inference(subst,[],[refute_0_236:[bind(X_5962,$fot(implies(X_6286,implies(implies(implies(X_6287,X_6288),X_6287),X_6287))))]]) ).
cnf(refute_0_395,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_1201),implies(X_1200,implies(X_1203,X_1201)))))
| is_a_theorem(implies(implies(implies(X_1200,implies(X_1203,X_1201)),X_2),implies(X_6,implies(implies(implies(X_2,X_3),X_1201),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(implies(X_2,X_3),X_1201))),bind(X_5,$fot(implies(X_1200,implies(X_1203,X_1201))))]]) ).
cnf(refute_0_396,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_1201),implies(X_1200,implies(X_1203,X_1201))))),
inference(subst,[],[refute_0_92:[bind(X_1195,$fot(X_1200)),bind(X_1196,$fot(X_1201)),bind(X_1198,$fot(implies(X_2,X_3))),bind(X_1199,$fot(X_1203))]]) ).
cnf(refute_0_397,plain,
is_a_theorem(implies(implies(implies(X_1200,implies(X_1203,X_1201)),X_2),implies(X_6,implies(implies(implies(X_2,X_3),X_1201),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_1201),implies(X_1200,implies(X_1203,X_1201))))) )],[refute_0_396,refute_0_395]) ).
cnf(refute_0_398,plain,
is_a_theorem(implies(implies(implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)),X_1201),implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)))),
inference(subst,[],[refute_0_397:[bind(X_1203,$fot(implies(implies(X_1201,X_3),X_1201))),bind(X_2,$fot(X_1201)),bind(X_6,$fot(X_1200))]]) ).
cnf(refute_0_399,plain,
( ~ is_a_theorem(implies(implies(implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)),X_1201),implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201))))
| is_a_theorem(implies(X_4076,implies(X_4075,implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201))))) ),
inference(subst,[],[refute_0_182:[bind(X_4045,$fot(implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)))),bind(X_4046,$fot(X_1201)),bind(X_4047,$fot(X_4075)),bind(X_4048,$fot(X_4076))]]) ).
cnf(refute_0_400,plain,
is_a_theorem(implies(X_4076,implies(X_4075,implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)),X_1201),implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
is_a_theorem(implies(implies(X_6280,X_6280),implies(X_4075,implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201))))),
inference(subst,[],[refute_0_400:[bind(X_4076,$fot(implies(X_6280,X_6280)))]]) ).
cnf(refute_0_402,plain,
( ~ is_a_theorem(implies(implies(X_6280,X_6280),implies(X_4075,implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)))))
| is_a_theorem(implies(X_4075,implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)))) ),
inference(subst,[],[refute_0_236:[bind(X_5962,$fot(implies(X_4075,implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201))))),bind(X_5963,$fot(X_6280))]]) ).
cnf(refute_0_403,plain,
is_a_theorem(implies(X_4075,implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6280,X_6280),implies(X_4075,implies(X_1200,implies(implies(implies(X_1201,X_3),X_1201),X_1201))))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
is_a_theorem(implies(implies(X_5963,X_5963),implies(X_6286,implies(implies(implies(X_6287,X_6288),X_6287),X_6287)))),
inference(subst,[],[refute_0_403:[bind(X_1200,$fot(X_6286)),bind(X_1201,$fot(X_6287)),bind(X_3,$fot(X_6288)),bind(X_4075,$fot(implies(X_5963,X_5963)))]]) ).
cnf(refute_0_405,plain,
is_a_theorem(implies(X_6286,implies(implies(implies(X_6287,X_6288),X_6287),X_6287))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5963,X_5963),implies(X_6286,implies(implies(implies(X_6287,X_6288),X_6287),X_6287)))) )],[refute_0_404,refute_0_394]) ).
cnf(refute_0_406,plain,
is_a_theorem(implies(implies(X_5963,X_5963),implies(implies(implies(X_6291,X_6292),X_6291),X_6291))),
inference(subst,[],[refute_0_405:[bind(X_6286,$fot(implies(X_5963,X_5963))),bind(X_6287,$fot(X_6291)),bind(X_6288,$fot(X_6292))]]) ).
cnf(refute_0_407,plain,
is_a_theorem(implies(implies(implies(X_6291,X_6292),X_6291),X_6291)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5963,X_5963),implies(implies(implies(X_6291,X_6292),X_6291),X_6291))) )],[refute_0_406,refute_0_393]) ).
cnf(refute_0_408,plain,
is_a_theorem(implies(implies(implies(X_6293,X_6294),X_6293),X_6293)),
inference(subst,[],[refute_0_407:[bind(X_6291,$fot(X_6293)),bind(X_6292,$fot(X_6294))]]) ).
cnf(refute_0_409,plain,
( ~ is_a_theorem(implies(implies(X_6293,X_6294),X_6293))
| is_a_theorem(X_6293) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6293,X_6294),X_6293),X_6293)) )],[refute_0_408,refute_0_392]) ).
cnf(refute_0_410,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900)),implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900))),implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900))))
| is_a_theorem(implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900))) ),
inference(subst,[],[refute_0_409:[bind(X_6293,$fot(implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900)))),bind(X_6294,$fot(implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900))))]]) ).
cnf(refute_0_411,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896)),X_5928),implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896))))
| is_a_theorem(implies(implies(implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896)),X_5928),X_5928)) ),
inference(subst,[],[refute_0_206:[bind(X_5929,$fot(implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896))))]]) ).
cnf(refute_0_412,plain,
( ~ is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))),implies(X_5964,implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))),implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892)))))
| is_a_theorem(implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892)))) ),
inference(subst,[],[refute_0_299:[bind(X_5965,$fot(implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892)))))]]) ).
cnf(refute_0_413,plain,
is_a_theorem(implies(implies(X_6280,X_6280),implies(X_5929,implies(implies(X_5929,X_5928),X_5928)))),
inference(subst,[],[refute_0_292:[bind(X_4031,$fot(implies(X_6280,X_6280)))]]) ).
cnf(refute_0_414,plain,
( ~ is_a_theorem(implies(implies(X_6280,X_6280),implies(X_5929,implies(implies(X_5929,X_5928),X_5928))))
| is_a_theorem(implies(X_5929,implies(implies(X_5929,X_5928),X_5928))) ),
inference(subst,[],[refute_0_236:[bind(X_5962,$fot(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)))),bind(X_5963,$fot(X_6280))]]) ).
cnf(refute_0_415,plain,
is_a_theorem(implies(X_5929,implies(implies(X_5929,X_5928),X_5928))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6280,X_6280),implies(X_5929,implies(implies(X_5929,X_5928),X_5928)))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
is_a_theorem(implies(implies(X_8886,X_8885),implies(implies(implies(X_8886,X_8885),implies(X_8884,X_8886)),implies(X_8884,X_8886)))),
inference(subst,[],[refute_0_415:[bind(X_5928,$fot(implies(X_8884,X_8886))),bind(X_5929,$fot(implies(X_8886,X_8885)))]]) ).
cnf(refute_0_417,plain,
( ~ is_a_theorem(implies(implies(X_8886,X_8885),implies(implies(implies(X_8886,X_8885),implies(X_8884,X_8886)),implies(X_8884,X_8886))))
| is_a_theorem(implies(X_8882,implies(X_8883,implies(implies(implies(X_8886,X_8885),implies(X_8884,X_8886)),implies(X_8884,X_8886))))) ),
inference(subst,[],[refute_0_341:[bind(X_667,$fot(X_8882)),bind(X_668,$fot(X_8883)),bind(X_669,$fot(X_8884)),bind(X_670,$fot(X_8885)),bind(X_671,$fot(X_8886)),bind(X_672,$fot(implies(implies(X_8886,X_8885),implies(X_8884,X_8886))))]]) ).
cnf(refute_0_418,plain,
is_a_theorem(implies(X_8882,implies(X_8883,implies(implies(implies(X_8886,X_8885),implies(X_8884,X_8886)),implies(X_8884,X_8886))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8886,X_8885),implies(implies(implies(X_8886,X_8885),implies(X_8884,X_8886)),implies(X_8884,X_8886)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))),implies(X_5964,implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))),implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))),
inference(subst,[],[refute_0_418:[bind(X_8882,$fot(implies(implies(X_5964,implies(X_5964,implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))),implies(X_5964,implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))))),bind(X_8883,$fot(X_8889)),bind(X_8884,$fot(X_8890)),bind(X_8885,$fot(X_8891)),bind(X_8886,$fot(X_8892))]]) ).
cnf(refute_0_420,plain,
is_a_theorem(implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))),implies(X_5964,implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))),implies(X_8889,implies(implies(implies(X_8892,X_8891),implies(X_8890,X_8892)),implies(X_8890,X_8892))))) )],[refute_0_419,refute_0_412]) ).
cnf(refute_0_421,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896)),X_5928),implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896)))),
inference(subst,[],[refute_0_420:[bind(X_8889,$fot(implies(implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896)),X_5928))),bind(X_8890,$fot(X_8894)),bind(X_8891,$fot(X_8895)),bind(X_8892,$fot(X_8896))]]) ).
cnf(refute_0_422,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896)),X_5928),X_5928)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896)),X_5928),implies(implies(implies(X_8896,X_8895),implies(X_8894,X_8896)),implies(X_8894,X_8896)))) )],[refute_0_421,refute_0_411]) ).
cnf(refute_0_423,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900)),implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900))),implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900)))),
inference(subst,[],[refute_0_422:[bind(X_5928,$fot(implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900)))),bind(X_8894,$fot(X_8898)),bind(X_8895,$fot(X_8899)),bind(X_8896,$fot(X_8900))]]) ).
cnf(refute_0_424,plain,
is_a_theorem(implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900)),implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900))),implies(implies(implies(X_8900,X_8899),implies(X_8898,X_8900)),implies(X_8898,X_8900)))) )],[refute_0_423,refute_0_410]) ).
cnf(refute_0_425,plain,
is_a_theorem(implies(implies(implies(X_8903,X_8902),implies(X_8901,X_8903)),implies(X_8901,X_8903))),
inference(subst,[],[refute_0_424:[bind(X_8898,$fot(X_8901)),bind(X_8899,$fot(X_8902)),bind(X_8900,$fot(X_8903))]]) ).
cnf(refute_0_426,plain,
( ~ is_a_theorem(implies(implies(X_8903,X_8902),implies(X_8901,X_8903)))
| is_a_theorem(implies(X_8901,X_8903)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_8903,X_8902),implies(X_8901,X_8903)),implies(X_8901,X_8903))) )],[refute_0_425,refute_0_391]) ).
cnf(refute_0_427,plain,
( ~ is_a_theorem(implies(implies(X_13608,X_8902),implies(implies(implies(implies(implies(X_13608,X_8902),X_13606),X_13606),X_13608),X_13608)))
| is_a_theorem(implies(implies(implies(implies(implies(X_13608,X_8902),X_13606),X_13606),X_13608),X_13608)) ),
inference(subst,[],[refute_0_426:[bind(X_8901,$fot(implies(implies(implies(implies(X_13608,X_8902),X_13606),X_13606),X_13608))),bind(X_8903,$fot(X_13608))]]) ).
cnf(refute_0_428,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_13569,implies(implies(implies(implies(X_13569,X_13568),X_13568),X_13570),X_13570))))
| is_a_theorem(implies(X_13569,implies(implies(implies(implies(X_13569,X_13568),X_13568),X_13570),X_13570))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(X_13569,implies(implies(implies(implies(X_13569,X_13568),X_13568),X_13570),X_13570))))]]) ).
cnf(refute_0_429,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13329),implies(X_13331,X_13329))))
| is_a_theorem(implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13329),implies(X_13331,X_13329))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13329),implies(X_13331,X_13329))))]]) ).
cnf(refute_0_430,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7150,implies(X_7149,X_7147)))))
| is_a_theorem(implies(implies(implies(X_7150,implies(X_7149,X_7147)),X_2),implies(X_6,implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(implies(implies(X_7149,X_7148),X_7148),X_7147))),bind(X_5,$fot(implies(X_7150,implies(X_7149,X_7147))))]]) ).
cnf(refute_0_431,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_5939,X_5938),X_5938),X_5937),implies(X_5940,implies(X_5939,X_5937))))
| is_a_theorem(implies(X_4036,implies(implies(implies(implies(X_5939,X_5938),X_5938),X_5937),implies(X_5940,implies(X_5939,X_5937))))) ),
inference(subst,[],[refute_0_309:[bind(X_4035,$fot(implies(implies(implies(implies(X_5939,X_5938),X_5938),X_5937),implies(X_5940,implies(X_5939,X_5937)))))]]) ).
cnf(refute_0_432,plain,
is_a_theorem(implies(implies(implies(implies(X_5939,X_5938),X_5938),X_5937),implies(X_5940,implies(X_5939,X_5937)))),
inference(subst,[],[refute_0_294:[bind(X_2,$fot(X_5937)),bind(X_5935,$fot(X_5938)),bind(X_5936,$fot(X_5939)),bind(X_6,$fot(X_5940))]]) ).
cnf(refute_0_433,plain,
is_a_theorem(implies(X_4036,implies(implies(implies(implies(X_5939,X_5938),X_5938),X_5937),implies(X_5940,implies(X_5939,X_5937))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_5939,X_5938),X_5938),X_5937),implies(X_5940,implies(X_5939,X_5937)))) )],[refute_0_432,refute_0_431]) ).
cnf(refute_0_434,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7150,implies(X_7149,X_7147))))),
inference(subst,[],[refute_0_433:[bind(X_4036,$fot(implies(X_2,X_3))),bind(X_5937,$fot(X_7147)),bind(X_5938,$fot(X_7148)),bind(X_5939,$fot(X_7149)),bind(X_5940,$fot(X_7150))]]) ).
cnf(refute_0_435,plain,
is_a_theorem(implies(implies(implies(X_7150,implies(X_7149,X_7147)),X_2),implies(X_6,implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7150,implies(X_7149,X_7147))))) )],[refute_0_434,refute_0_430]) ).
cnf(refute_0_436,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147)),implies(X_7149,X_7147)),implies(X_13313,implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147))))),
inference(subst,[],[refute_0_435:[bind(X_2,$fot(implies(X_7149,X_7147))),bind(X_6,$fot(X_13313)),bind(X_7150,$fot(implies(implies(implies(X_7149,X_7148),X_7148),X_7147)))]]) ).
cnf(refute_0_437,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147)),implies(X_7149,X_7147)),implies(X_13313,implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147)))))
| is_a_theorem(implies(X_13313,implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147)))) ),
inference(subst,[],[refute_0_426:[bind(X_8901,$fot(X_13313)),bind(X_8902,$fot(implies(X_7149,X_7147))),bind(X_8903,$fot(implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147))))]]) ).
cnf(refute_0_438,plain,
is_a_theorem(implies(X_13313,implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147)),implies(X_7149,X_7147)),implies(X_13313,implies(implies(implies(implies(X_7149,X_7148),X_7148),X_7147),implies(X_7149,X_7147))))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13329),implies(X_13331,X_13329)))),
inference(subst,[],[refute_0_438:[bind(X_13313,$fot(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)))),bind(X_7147,$fot(X_13329)),bind(X_7148,$fot(X_13330)),bind(X_7149,$fot(X_13331))]]) ).
cnf(refute_0_440,plain,
is_a_theorem(implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13329),implies(X_13331,X_13329))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13329),implies(X_13331,X_13329)))) )],[refute_0_439,refute_0_429]) ).
cnf(refute_0_441,plain,
is_a_theorem(implies(implies(implies(implies(X_13331,X_13330),X_13330),implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564)),implies(X_13331,implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564)))),
inference(subst,[],[refute_0_440:[bind(X_13329,$fot(implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564)))]]) ).
cnf(refute_0_442,plain,
( ~ is_a_theorem(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_8139))
| ~ is_a_theorem(implies(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_8139),implies(X_8138,X_8139)))
| is_a_theorem(implies(X_8138,X_8139)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_8139))),bind(Y,$fot(implies(X_8138,X_8139)))]]) ).
cnf(refute_0_443,plain,
is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_5956),implies(X_5929,implies(implies(X_5929,X_5928),X_5928)))),
inference(subst,[],[refute_0_292:[bind(X_4031,$fot(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_5956)))]]) ).
cnf(refute_0_444,plain,
( ~ is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_5956),implies(X_5929,implies(implies(X_5929,X_5928),X_5928))))
| is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_5956),X_5956)) ),
inference(subst,[],[refute_0_206:[bind(X_5928,$fot(X_5956)),bind(X_5929,$fot(implies(X_5929,implies(implies(X_5929,X_5928),X_5928))))]]) ).
cnf(refute_0_445,plain,
is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_5956),X_5956)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_5956),implies(X_5929,implies(implies(X_5929,X_5928),X_5928)))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_6721),X_6721)),
inference(subst,[],[refute_0_445:[bind(X_5956,$fot(X_6721))]]) ).
cnf(refute_0_447,plain,
( ~ is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_6721),X_6721))
| is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_6721),implies(X_6720,X_6721))) ),
inference(subst,[],[refute_0_270:[bind(X_5863,$fot(X_6720)),bind(X_5864,$fot(X_6721)),bind(X_5865,$fot(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_6721)))]]) ).
cnf(refute_0_448,plain,
is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_6721),implies(X_6720,X_6721))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5929,implies(implies(X_5929,X_5928),X_5928)),X_6721),X_6721)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
is_a_theorem(implies(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_8139),implies(X_8138,X_8139))),
inference(subst,[],[refute_0_448:[bind(X_5928,$fot(X_8136)),bind(X_5929,$fot(X_8137)),bind(X_6720,$fot(X_8138)),bind(X_6721,$fot(X_8139))]]) ).
cnf(refute_0_450,plain,
( ~ is_a_theorem(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_8139))
| is_a_theorem(implies(X_8138,X_8139)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_8139),implies(X_8138,X_8139))) )],[refute_0_449,refute_0_442]) ).
cnf(refute_0_451,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_13331,X_13330),X_13330),implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564)),implies(X_13331,implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564))))
| is_a_theorem(implies(X_13566,implies(X_13331,implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564)))) ),
inference(subst,[],[refute_0_450:[bind(X_8136,$fot(X_13564)),bind(X_8137,$fot(implies(implies(X_13331,X_13330),X_13330))),bind(X_8138,$fot(X_13566)),bind(X_8139,$fot(implies(X_13331,implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564))))]]) ).
cnf(refute_0_452,plain,
is_a_theorem(implies(X_13566,implies(X_13331,implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_13331,X_13330),X_13330),implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564)),implies(X_13331,implies(implies(implies(implies(X_13331,X_13330),X_13330),X_13564),X_13564)))) )],[refute_0_441,refute_0_451]) ).
cnf(refute_0_453,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_13569,implies(implies(implies(implies(X_13569,X_13568),X_13568),X_13570),X_13570)))),
inference(subst,[],[refute_0_452:[bind(X_13330,$fot(X_13568)),bind(X_13331,$fot(X_13569)),bind(X_13564,$fot(X_13570)),bind(X_13566,$fot(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014))))]]) ).
cnf(refute_0_454,plain,
is_a_theorem(implies(X_13569,implies(implies(implies(implies(X_13569,X_13568),X_13568),X_13570),X_13570))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_13569,implies(implies(implies(implies(X_13569,X_13568),X_13568),X_13570),X_13570)))) )],[refute_0_453,refute_0_428]) ).
cnf(refute_0_455,plain,
is_a_theorem(implies(implies(X_13608,X_8902),implies(implies(implies(implies(implies(X_13608,X_8902),X_13606),X_13606),X_13608),X_13608))),
inference(subst,[],[refute_0_454:[bind(X_13568,$fot(X_13606)),bind(X_13569,$fot(implies(X_13608,X_8902))),bind(X_13570,$fot(X_13608))]]) ).
cnf(refute_0_456,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_13608,X_8902),X_13606),X_13606),X_13608),X_13608)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_13608,X_8902),implies(implies(implies(implies(implies(X_13608,X_8902),X_13606),X_13606),X_13608),X_13608))) )],[refute_0_455,refute_0_427]) ).
cnf(refute_0_457,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_13610,X_13611),X_13609),X_13609),X_13610),X_13610)),
inference(subst,[],[refute_0_456:[bind(X_13606,$fot(X_13609)),bind(X_13608,$fot(X_13610)),bind(X_8902,$fot(X_13611))]]) ).
cnf(refute_0_458,plain,
is_a_theorem(implies(X_4036,implies(implies(implies(implies(implies(X_13610,X_13611),X_13609),X_13609),X_13610),X_13610))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_13610,X_13611),X_13609),X_13609),X_13610),X_13610)) )],[refute_0_457,refute_0_390]) ).
cnf(refute_0_459,plain,
is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983)))),implies(implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983),X_13983))),
inference(subst,[],[refute_0_458:[bind(X_13610,$fot(X_13983)),bind(X_4036,$fot(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983))))))]]) ).
cnf(refute_0_460,plain,
( ~ is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983)))),implies(implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983),X_13983)))
| is_a_theorem(implies(X_13984,implies(X_13978,implies(implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983),X_13983)))) ),
inference(subst,[],[refute_0_362:[bind(X_283,$fot(X_13978)),bind(X_284,$fot(X_13979)),bind(X_285,$fot(X_13980)),bind(X_286,$fot(implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983))),bind(X_287,$fot(X_13982)),bind(X_288,$fot(X_13983)),bind(X_289,$fot(X_13984))]]) ).
cnf(refute_0_461,plain,
is_a_theorem(implies(X_13984,implies(X_13978,implies(implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983),X_13983)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983)))),implies(implies(implies(implies(implies(X_13983,X_13611),X_13609),X_13609),X_13983),X_13983))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_14025,implies(implies(implies(implies(implies(X_14026,X_14024),X_14023),X_14023),X_14026),X_14026)))),
inference(subst,[],[refute_0_461:[bind(X_13609,$fot(X_14023)),bind(X_13611,$fot(X_14024)),bind(X_13978,$fot(X_14025)),bind(X_13983,$fot(X_14026)),bind(X_13984,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_463,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_14026,X_14024),X_14023),X_14023),X_14026),X_14026),X_2),implies(X_6,implies(X_14025,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_14025,implies(implies(implies(implies(implies(X_14026,X_14024),X_14023),X_14023),X_14026),X_14026)))) )],[refute_0_462,refute_0_389]) ).
cnf(refute_0_464,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_15401,X_15398),X_15397),X_15397),X_15401),X_15401),X_15401),implies(X_15402,implies(X_15399,X_15401)))),
inference(subst,[],[refute_0_463:[bind(X_14023,$fot(X_15397)),bind(X_14024,$fot(X_15398)),bind(X_14025,$fot(X_15399)),bind(X_14026,$fot(X_15401)),bind(X_2,$fot(X_15401)),bind(X_6,$fot(X_15402))]]) ).
cnf(refute_0_465,plain,
is_a_theorem(implies(X_5924,implies(implies(implies(implies(implies(implies(implies(X_15401,X_15398),X_15397),X_15397),X_15401),X_15401),implies(implies(implies(implies(X_15401,X_15398),X_15397),X_15397),X_15401)),implies(X_15402,implies(X_15399,X_15401))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_15401,X_15398),X_15397),X_15397),X_15401),X_15401),X_15401),implies(X_15402,implies(X_15399,X_15401)))) )],[refute_0_464,refute_0_388]) ).
cnf(refute_0_466,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18133,implies(X_18131,X_18132))))),
inference(subst,[],[refute_0_465:[bind(X_15397,$fot(X_18129)),bind(X_15398,$fot(X_18130)),bind(X_15399,$fot(X_18131)),bind(X_15401,$fot(X_18132)),bind(X_15402,$fot(X_18133)),bind(X_5924,$fot(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014))))]]) ).
cnf(refute_0_467,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18133,implies(X_18131,X_18132)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18133,implies(X_18131,X_18132))))) )],[refute_0_466,refute_0_381]) ).
cnf(refute_0_468,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(implies(X_20674,implies(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18131,X_18132)),X_20675)),implies(X_18131,X_18132)))),
inference(subst,[],[refute_0_467:[bind(X_18133,$fot(implies(X_20674,implies(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18131,X_18132)),X_20675))))]]) ).
cnf(refute_0_469,plain,
( ~ is_a_theorem(implies(X_15810,implies(implies(X_15808,implies(implies(X_15810,X_15811),X_15809)),X_15811)))
| ~ is_a_theorem(implies(implies(X_15810,implies(implies(X_15808,implies(implies(X_15810,X_15811),X_15809)),X_15811)),implies(X_15810,X_15811)))
| is_a_theorem(implies(X_15810,X_15811)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_15810,implies(implies(X_15808,implies(implies(X_15810,X_15811),X_15809)),X_15811)))),bind(Y,$fot(implies(X_15810,X_15811)))]]) ).
cnf(refute_0_470,plain,
( ~ is_a_theorem(implies(implies(X_12210,implies(X_12213,X_12212)),implies(X_12211,X_12213)))
| ~ is_a_theorem(implies(implies(implies(X_12210,implies(X_12213,X_12212)),implies(X_12211,X_12213)),implies(X_12211,X_12213)))
| is_a_theorem(implies(X_12211,X_12213)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_12210,implies(X_12213,X_12212)),implies(X_12211,X_12213)))),bind(Y,$fot(implies(X_12211,X_12213)))]]) ).
cnf(refute_0_471,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(X_12205,implies(X_12209,X_12208)),implies(X_12207,X_12209)),implies(X_12207,X_12209))))
| is_a_theorem(implies(implies(implies(X_12205,implies(X_12209,X_12208)),implies(X_12207,X_12209)),implies(X_12207,X_12209))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(implies(implies(X_12205,implies(X_12209,X_12208)),implies(X_12207,X_12209)),implies(X_12207,X_12209))))]]) ).
cnf(refute_0_472,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_12201,implies(implies(implies(X_12199,implies(X_12204,X_12203)),implies(X_12202,X_12204)),implies(X_12202,X_12204)))))
| is_a_theorem(implies(X_12201,implies(implies(implies(X_12199,implies(X_12204,X_12203)),implies(X_12202,X_12204)),implies(X_12202,X_12204)))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(X_12201,implies(implies(implies(X_12199,implies(X_12204,X_12203)),implies(X_12202,X_12204)),implies(X_12202,X_12204)))))]]) ).
cnf(refute_0_473,plain,
( ~ is_a_theorem(X_5931)
| ~ is_a_theorem(implies(X_5931,implies(X_5933,implies(implies(implies(X_5932,X_5933),X_5930),X_5930))))
| is_a_theorem(implies(X_5933,implies(implies(implies(X_5932,X_5933),X_5930),X_5930))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_5931)),bind(Y,$fot(implies(X_5933,implies(implies(implies(X_5932,X_5933),X_5930),X_5930))))]]) ).
cnf(refute_0_474,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_663,X_665),X_5928),implies(X_663,X_665)),implies(implies(implies(X_663,X_665),X_5928),X_5928)))
| is_a_theorem(implies(X_662,implies(X_665,implies(implies(implies(X_663,X_665),X_5928),X_5928)))) ),
inference(subst,[],[refute_0_313:[bind(X_664,$fot(implies(implies(implies(X_663,X_665),X_5928),X_5928))),bind(X_666,$fot(implies(implies(X_663,X_665),X_5928)))]]) ).
cnf(refute_0_475,plain,
is_a_theorem(implies(implies(implies(implies(X_663,X_665),X_5928),implies(X_663,X_665)),implies(implies(implies(X_663,X_665),X_5928),X_5928))),
inference(subst,[],[refute_0_204:[bind(X_5926,$fot(X_5928)),bind(X_5927,$fot(implies(X_663,X_665)))]]) ).
cnf(refute_0_476,plain,
is_a_theorem(implies(X_662,implies(X_665,implies(implies(implies(X_663,X_665),X_5928),X_5928)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_663,X_665),X_5928),implies(X_663,X_665)),implies(implies(implies(X_663,X_665),X_5928),X_5928))) )],[refute_0_475,refute_0_474]) ).
cnf(refute_0_477,plain,
is_a_theorem(implies(X_5931,implies(X_5933,implies(implies(implies(X_5932,X_5933),X_5930),X_5930)))),
inference(subst,[],[refute_0_476:[bind(X_5928,$fot(X_5930)),bind(X_662,$fot(X_5931)),bind(X_663,$fot(X_5932)),bind(X_665,$fot(X_5933))]]) ).
cnf(refute_0_478,plain,
( ~ is_a_theorem(X_5931)
| is_a_theorem(implies(X_5933,implies(implies(implies(X_5932,X_5933),X_5930),X_5930))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_5931,implies(X_5933,implies(implies(implies(X_5932,X_5933),X_5930),X_5930)))) )],[refute_0_477,refute_0_473]) ).
cnf(refute_0_479,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))
| is_a_theorem(implies(X_6091,implies(implies(implies(X_6090,X_6091),X_6088),X_6088))) ),
inference(subst,[],[refute_0_478:[bind(X_5930,$fot(X_6088)),bind(X_5931,$fot(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2))))),bind(X_5932,$fot(X_6090)),bind(X_5933,$fot(X_6091))]]) ).
cnf(refute_0_480,plain,
is_a_theorem(implies(X_6091,implies(implies(implies(X_6090,X_6091),X_6088),X_6088))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_3210,implies(X_3208,X_3207)),implies(implies(X_3208,X_3207),X_3209)),X_3207),implies(X_3206,implies(X_3208,X_3207))),X_2),implies(X_6,implies(X_3211,X_2)))) )],[refute_0_96,refute_0_479]) ).
cnf(refute_0_481,plain,
is_a_theorem(implies(implies(X_8886,X_8885),implies(implies(implies(X_6090,implies(X_8886,X_8885)),implies(X_8884,X_8886)),implies(X_8884,X_8886)))),
inference(subst,[],[refute_0_480:[bind(X_6088,$fot(implies(X_8884,X_8886))),bind(X_6091,$fot(implies(X_8886,X_8885)))]]) ).
cnf(refute_0_482,plain,
( ~ is_a_theorem(implies(implies(X_8886,X_8885),implies(implies(implies(X_6090,implies(X_8886,X_8885)),implies(X_8884,X_8886)),implies(X_8884,X_8886))))
| is_a_theorem(implies(X_8882,implies(X_8883,implies(implies(implies(X_6090,implies(X_8886,X_8885)),implies(X_8884,X_8886)),implies(X_8884,X_8886))))) ),
inference(subst,[],[refute_0_341:[bind(X_667,$fot(X_8882)),bind(X_668,$fot(X_8883)),bind(X_669,$fot(X_8884)),bind(X_670,$fot(X_8885)),bind(X_671,$fot(X_8886)),bind(X_672,$fot(implies(implies(X_6090,implies(X_8886,X_8885)),implies(X_8884,X_8886))))]]) ).
cnf(refute_0_483,plain,
is_a_theorem(implies(X_8882,implies(X_8883,implies(implies(implies(X_6090,implies(X_8886,X_8885)),implies(X_8884,X_8886)),implies(X_8884,X_8886))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8886,X_8885),implies(implies(implies(X_6090,implies(X_8886,X_8885)),implies(X_8884,X_8886)),implies(X_8884,X_8886)))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_12201,implies(implies(implies(X_12199,implies(X_12204,X_12203)),implies(X_12202,X_12204)),implies(X_12202,X_12204))))),
inference(subst,[],[refute_0_483:[bind(X_6090,$fot(X_12199)),bind(X_8882,$fot(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)))),bind(X_8883,$fot(X_12201)),bind(X_8884,$fot(X_12202)),bind(X_8885,$fot(X_12203)),bind(X_8886,$fot(X_12204))]]) ).
cnf(refute_0_485,plain,
is_a_theorem(implies(X_12201,implies(implies(implies(X_12199,implies(X_12204,X_12203)),implies(X_12202,X_12204)),implies(X_12202,X_12204)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_12201,implies(implies(implies(X_12199,implies(X_12204,X_12203)),implies(X_12202,X_12204)),implies(X_12202,X_12204))))) )],[refute_0_484,refute_0_472]) ).
cnf(refute_0_486,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(X_12205,implies(X_12209,X_12208)),implies(X_12207,X_12209)),implies(X_12207,X_12209)))),
inference(subst,[],[refute_0_485:[bind(X_12199,$fot(X_12205)),bind(X_12201,$fot(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)))),bind(X_12202,$fot(X_12207)),bind(X_12203,$fot(X_12208)),bind(X_12204,$fot(X_12209))]]) ).
cnf(refute_0_487,plain,
is_a_theorem(implies(implies(implies(X_12205,implies(X_12209,X_12208)),implies(X_12207,X_12209)),implies(X_12207,X_12209))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(implies(implies(X_12205,implies(X_12209,X_12208)),implies(X_12207,X_12209)),implies(X_12207,X_12209)))) )],[refute_0_486,refute_0_471]) ).
cnf(refute_0_488,plain,
is_a_theorem(implies(implies(implies(X_12210,implies(X_12213,X_12212)),implies(X_12211,X_12213)),implies(X_12211,X_12213))),
inference(subst,[],[refute_0_487:[bind(X_12205,$fot(X_12210)),bind(X_12207,$fot(X_12211)),bind(X_12208,$fot(X_12212)),bind(X_12209,$fot(X_12213))]]) ).
cnf(refute_0_489,plain,
( ~ is_a_theorem(implies(implies(X_12210,implies(X_12213,X_12212)),implies(X_12211,X_12213)))
| is_a_theorem(implies(X_12211,X_12213)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_12210,implies(X_12213,X_12212)),implies(X_12211,X_12213)),implies(X_12211,X_12213))) )],[refute_0_488,refute_0_470]) ).
cnf(refute_0_490,plain,
( ~ is_a_theorem(implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),implies(implies(X_15801,implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),X_15802)),implies(X_15801,X_15802))))
| is_a_theorem(implies(implies(X_15801,implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),X_15802)),implies(X_15801,X_15802))) ),
inference(subst,[],[refute_0_489:[bind(X_12211,$fot(implies(X_15801,implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),X_15802)))),bind(X_12213,$fot(implies(X_15801,X_15802)))]]) ).
cnf(refute_0_491,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_15799,implies(implies(X_15797,implies(X_15799,X_15798)),implies(X_15797,X_15798)))))
| is_a_theorem(implies(X_15799,implies(implies(X_15797,implies(X_15799,X_15798)),implies(X_15797,X_15798)))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(X_15799,implies(implies(X_15797,implies(X_15799,X_15798)),implies(X_15797,X_15798)))))]]) ).
cnf(refute_0_492,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_10976,X_10976),X_10974),X_10975),X_10974))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X_10976,X_10976),X_10974),X_10975),X_10974),X_10974))
| is_a_theorem(X_10974) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_10976,X_10976),X_10974),X_10975),X_10974))),bind(Y,$fot(X_10974))]]) ).
cnf(refute_0_493,plain,
( ~ is_a_theorem(implies(implies(implies(X_5963,X_5963),X_5962),X_5962))
| is_a_theorem(implies(implies(X_5820,implies(implies(X_5963,X_5963),X_5962)),implies(X_5820,X_5962))) ),
inference(subst,[],[refute_0_266:[bind(X_5818,$fot(implies(implies(X_5963,X_5963),X_5962))),bind(X_5819,$fot(X_5962))]]) ).
cnf(refute_0_494,plain,
is_a_theorem(implies(implies(X_5820,implies(implies(X_5963,X_5963),X_5962)),implies(X_5820,X_5962))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5963,X_5963),X_5962),X_5962)) )],[refute_0_235,refute_0_493]) ).
cnf(refute_0_495,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),implies(implies(X_5963,X_5963),X_10952)),implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),X_10952))),
inference(subst,[],[refute_0_494:[bind(X_5820,$fot(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952))),bind(X_5962,$fot(X_10952))]]) ).
cnf(refute_0_496,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),implies(implies(X_5963,X_5963),X_10952)),implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),X_10952)))
| is_a_theorem(implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),X_10952)) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),X_10952))),bind(X_10013,$fot(implies(X_5963,X_5963))),bind(X_10014,$fot(X_10952)),bind(X_10015,$fot(X_10953))]]) ).
cnf(refute_0_497,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),X_10952)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),implies(implies(X_5963,X_5963),X_10952)),implies(implies(implies(implies(implies(X_5963,X_5963),X_10952),X_10953),X_10952),X_10952))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10976,X_10976),X_10974),X_10975),X_10974),X_10974)),
inference(subst,[],[refute_0_497:[bind(X_10952,$fot(X_10974)),bind(X_10953,$fot(X_10975)),bind(X_5963,$fot(X_10976))]]) ).
cnf(refute_0_499,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_10976,X_10976),X_10974),X_10975),X_10974))
| is_a_theorem(X_10974) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10976,X_10976),X_10974),X_10975),X_10974),X_10974)) )],[refute_0_498,refute_0_492]) ).
cnf(refute_0_500,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_10976,X_10976),implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))))),implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))),implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))))))
| is_a_theorem(implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))))) ),
inference(subst,[],[refute_0_499:[bind(X_10974,$fot(implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792)))))),bind(X_10975,$fot(implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))))]]) ).
cnf(refute_0_501,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_14498,implies(X_14499,implies(X_14495,implies(X_14496,implies(implies(X_14494,implies(X_14496,X_14497)),implies(X_14494,X_14497))))))))
| is_a_theorem(implies(implies(implies(X_14499,implies(X_14495,implies(X_14496,implies(implies(X_14494,implies(X_14496,X_14497)),implies(X_14494,X_14497))))),X_2),implies(X_6,implies(X_14498,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_14498)),bind(X_5,$fot(implies(X_14499,implies(X_14495,implies(X_14496,implies(implies(X_14494,implies(X_14496,X_14497)),implies(X_14494,X_14497)))))))]]) ).
cnf(refute_0_502,plain,
( ~ is_a_theorem(implies(implies(implies(X_12569,X_12570),X_12569),implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570))))))
| is_a_theorem(implies(X_346,implies(X_345,implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570))))))) ),
inference(subst,[],[refute_0_155:[bind(X_340,$fot(implies(X_12567,X_12570))),bind(X_341,$fot(implies(X_12567,implies(X_12569,X_12570)))),bind(X_342,$fot(X_12569)),bind(X_343,$fot(implies(X_12569,X_12570))),bind(X_344,$fot(X_12568))]]) ).
cnf(refute_0_503,plain,
( ~ is_a_theorem(implies(X_5887,X_5886))
| ~ is_a_theorem(implies(implies(X_5887,X_5886),implies(X_5887,implies(X_5884,implies(X_5885,X_5886)))))
| is_a_theorem(implies(X_5887,implies(X_5884,implies(X_5885,X_5886)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_5887,X_5886))),bind(Y,$fot(implies(X_5887,implies(X_5884,implies(X_5885,X_5886)))))]]) ).
cnf(refute_0_504,plain,
( ~ is_a_theorem(implies(X_5887,X_5886))
| is_a_theorem(implies(X_5887,implies(X_5884,implies(X_5885,X_5886)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5887,X_5886),implies(X_5887,implies(X_5884,implies(X_5885,X_5886))))) )],[refute_0_324,refute_0_503]) ).
cnf(refute_0_505,plain,
( ~ is_a_theorem(implies(implies(X_5814,X_5815),implies(implies(X_5816,X_5814),implies(X_5816,X_5815))))
| is_a_theorem(implies(implies(X_5814,X_5815),implies(X_5900,implies(X_5901,implies(implies(X_5816,X_5814),implies(X_5816,X_5815)))))) ),
inference(subst,[],[refute_0_504:[bind(X_5884,$fot(X_5900)),bind(X_5885,$fot(X_5901)),bind(X_5886,$fot(implies(implies(X_5816,X_5814),implies(X_5816,X_5815)))),bind(X_5887,$fot(implies(X_5814,X_5815)))]]) ).
cnf(refute_0_506,plain,
is_a_theorem(implies(implies(X_5814,X_5815),implies(X_5900,implies(X_5901,implies(implies(X_5816,X_5814),implies(X_5816,X_5815)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5814,X_5815),implies(implies(X_5816,X_5814),implies(X_5816,X_5815)))) )],[refute_0_246,refute_0_505]) ).
cnf(refute_0_507,plain,
is_a_theorem(implies(implies(implies(X_7493,X_7492),X_7492),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))))),
inference(subst,[],[refute_0_506:[bind(X_5814,$fot(implies(X_7493,X_7492))),bind(X_5815,$fot(X_7492))]]) ).
cnf(refute_0_508,plain,
( ~ is_a_theorem(implies(implies(implies(X_7493,X_7492),X_7492),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))))
| is_a_theorem(implies(X_7494,implies(implies(implies(X_7493,X_7492),X_7493),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))))) ),
inference(subst,[],[refute_0_387:[bind(X_5921,$fot(implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))))),bind(X_5922,$fot(X_7492)),bind(X_5923,$fot(X_7493)),bind(X_5924,$fot(X_7494))]]) ).
cnf(refute_0_509,plain,
is_a_theorem(implies(X_7494,implies(implies(implies(X_7493,X_7492),X_7493),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_7493,X_7492),X_7492),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
is_a_theorem(implies(implies(X_12219,implies(implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))),X_12221)),implies(implies(implies(X_7493,X_7492),X_7493),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))))),
inference(subst,[],[refute_0_509:[bind(X_7494,$fot(implies(X_12219,implies(implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))),X_12221))))]]) ).
cnf(refute_0_511,plain,
( ~ is_a_theorem(implies(implies(X_12219,implies(implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))),X_12221)),implies(implies(implies(X_7493,X_7492),X_7493),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))))))
| is_a_theorem(implies(implies(implies(X_7493,X_7492),X_7493),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))))) ),
inference(subst,[],[refute_0_489:[bind(X_12210,$fot(X_12219)),bind(X_12211,$fot(implies(implies(X_7493,X_7492),X_7493))),bind(X_12212,$fot(X_12221)),bind(X_12213,$fot(implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))))]]) ).
cnf(refute_0_512,plain,
is_a_theorem(implies(implies(implies(X_7493,X_7492),X_7493),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_12219,implies(implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))),X_12221)),implies(implies(implies(X_7493,X_7492),X_7493),implies(X_5900,implies(X_5901,implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
is_a_theorem(implies(implies(implies(X_12569,X_12570),X_12569),implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570)))))),
inference(subst,[],[refute_0_512:[bind(X_5816,$fot(X_12567)),bind(X_5900,$fot(X_12568)),bind(X_5901,$fot(X_12569)),bind(X_7492,$fot(X_12570)),bind(X_7493,$fot(X_12569))]]) ).
cnf(refute_0_514,plain,
is_a_theorem(implies(X_346,implies(X_345,implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_12569,X_12570),X_12569),implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570)))))) )],[refute_0_513,refute_0_502]) ).
cnf(refute_0_515,plain,
is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,X_13981))),implies(X_13981,implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570))))))),
inference(subst,[],[refute_0_514:[bind(X_345,$fot(X_13981)),bind(X_346,$fot(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,X_13981)))))]]) ).
cnf(refute_0_516,plain,
( ~ is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,X_13981))),implies(X_13981,implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570)))))))
| is_a_theorem(implies(X_13984,implies(X_13978,implies(X_13981,implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570)))))))) ),
inference(subst,[],[refute_0_362:[bind(X_283,$fot(X_13978)),bind(X_284,$fot(X_13979)),bind(X_285,$fot(X_13980)),bind(X_286,$fot(X_13981)),bind(X_287,$fot(X_13982)),bind(X_288,$fot(implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570)))))),bind(X_289,$fot(X_13984))]]) ).
cnf(refute_0_517,plain,
is_a_theorem(implies(X_13984,implies(X_13978,implies(X_13981,implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570)))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_13980,implies(implies(X_13979,X_13982),implies(X_13982,X_13981))),implies(X_13981,implies(X_12568,implies(X_12569,implies(implies(X_12567,implies(X_12569,X_12570)),implies(X_12567,X_12570))))))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_14498,implies(X_14499,implies(X_14495,implies(X_14496,implies(implies(X_14494,implies(X_14496,X_14497)),implies(X_14494,X_14497)))))))),
inference(subst,[],[refute_0_517:[bind(X_12567,$fot(X_14494)),bind(X_12568,$fot(X_14495)),bind(X_12569,$fot(X_14496)),bind(X_12570,$fot(X_14497)),bind(X_13978,$fot(X_14498)),bind(X_13981,$fot(X_14499)),bind(X_13984,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_519,plain,
is_a_theorem(implies(implies(implies(X_14499,implies(X_14495,implies(X_14496,implies(implies(X_14494,implies(X_14496,X_14497)),implies(X_14494,X_14497))))),X_2),implies(X_6,implies(X_14498,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_14498,implies(X_14499,implies(X_14495,implies(X_14496,implies(implies(X_14494,implies(X_14496,X_14497)),implies(X_14494,X_14497)))))))) )],[refute_0_518,refute_0_501]) ).
cnf(refute_0_520,plain,
is_a_theorem(implies(implies(implies(implies(X_10976,X_10976),implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))))),implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))),implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792)))))),
inference(subst,[],[refute_0_519:[bind(X_14494,$fot(X_15789)),bind(X_14495,$fot(X_15796)),bind(X_14496,$fot(X_15793)),bind(X_14497,$fot(X_15792)),bind(X_14498,$fot(X_15793)),bind(X_14499,$fot(implies(X_10976,X_10976))),bind(X_2,$fot(implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792)))),bind(X_6,$fot(X_15796))]]) ).
cnf(refute_0_521,plain,
is_a_theorem(implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_10976,X_10976),implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))))),implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792))),implies(X_15796,implies(X_15793,implies(implies(X_15789,implies(X_15793,X_15792)),implies(X_15789,X_15792)))))) )],[refute_0_520,refute_0_500]) ).
cnf(refute_0_522,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_15799,implies(implies(X_15797,implies(X_15799,X_15798)),implies(X_15797,X_15798))))),
inference(subst,[],[refute_0_521:[bind(X_15789,$fot(X_15797)),bind(X_15792,$fot(X_15798)),bind(X_15793,$fot(X_15799)),bind(X_15796,$fot(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014))))]]) ).
cnf(refute_0_523,plain,
is_a_theorem(implies(X_15799,implies(implies(X_15797,implies(X_15799,X_15798)),implies(X_15797,X_15798)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_15799,implies(implies(X_15797,implies(X_15799,X_15798)),implies(X_15797,X_15798))))) )],[refute_0_522,refute_0_491]) ).
cnf(refute_0_524,plain,
is_a_theorem(implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),implies(implies(X_15801,implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),X_15802)),implies(X_15801,X_15802)))),
inference(subst,[],[refute_0_523:[bind(X_15797,$fot(X_15801)),bind(X_15798,$fot(X_15802)),bind(X_15799,$fot(implies(X_12210,implies(implies(X_15801,X_15802),X_12212))))]]) ).
cnf(refute_0_525,plain,
is_a_theorem(implies(implies(X_15801,implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),X_15802)),implies(X_15801,X_15802))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),implies(implies(X_15801,implies(implies(X_12210,implies(implies(X_15801,X_15802),X_12212)),X_15802)),implies(X_15801,X_15802)))) )],[refute_0_524,refute_0_490]) ).
cnf(refute_0_526,plain,
is_a_theorem(implies(implies(X_15810,implies(implies(X_15808,implies(implies(X_15810,X_15811),X_15809)),X_15811)),implies(X_15810,X_15811))),
inference(subst,[],[refute_0_525:[bind(X_12210,$fot(X_15808)),bind(X_12212,$fot(X_15809)),bind(X_15801,$fot(X_15810)),bind(X_15802,$fot(X_15811))]]) ).
cnf(refute_0_527,plain,
( ~ is_a_theorem(implies(X_15810,implies(implies(X_15808,implies(implies(X_15810,X_15811),X_15809)),X_15811)))
| is_a_theorem(implies(X_15810,X_15811)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_15810,implies(implies(X_15808,implies(implies(X_15810,X_15811),X_15809)),X_15811)),implies(X_15810,X_15811))) )],[refute_0_526,refute_0_469]) ).
cnf(refute_0_528,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(implies(X_20674,implies(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18131,X_18132)),X_20675)),implies(X_18131,X_18132))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18131,X_18132))) ),
inference(subst,[],[refute_0_527:[bind(X_15808,$fot(X_20674)),bind(X_15809,$fot(X_20675)),bind(X_15810,$fot(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)))),bind(X_15811,$fot(implies(X_18131,X_18132)))]]) ).
cnf(refute_0_529,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18131,X_18132))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(implies(X_20674,implies(implies(implies(implies(implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132),X_18132),implies(implies(implies(implies(X_18132,X_18130),X_18129),X_18129),X_18132)),implies(X_18131,X_18132)),X_20675)),implies(X_18131,X_18132)))) )],[refute_0_468,refute_0_528]) ).
cnf(refute_0_530,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),X_21384),implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384)),implies(X_21383,X_21384))),
inference(subst,[],[refute_0_529:[bind(X_18129,$fot(X_21381)),bind(X_18130,$fot(X_21382)),bind(X_18131,$fot(X_21383)),bind(X_18132,$fot(X_21384))]]) ).
cnf(refute_0_531,plain,
is_a_theorem(implies(X_4031,implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),implies(X_21383,X_21384)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),X_21384),implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384)),implies(X_21383,X_21384))) )],[refute_0_530,refute_0_380]) ).
cnf(refute_0_532,plain,
is_a_theorem(implies(implies(implies(X_21929,X_21931),implies(X_21931,implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384))),implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),implies(X_21383,X_21384)))),
inference(subst,[],[refute_0_531:[bind(X_4031,$fot(implies(implies(X_21929,X_21931),implies(X_21931,implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384)))))]]) ).
cnf(refute_0_533,plain,
( ~ is_a_theorem(implies(implies(implies(X_21904,X_21906),implies(X_21906,X_21905)),implies(X_21905,X_21907)))
| ~ is_a_theorem(implies(implies(implies(implies(X_21904,X_21906),implies(X_21906,X_21905)),implies(X_21905,X_21907)),implies(X_21905,X_21907)))
| is_a_theorem(implies(X_21905,X_21907)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_21904,X_21906),implies(X_21906,X_21905)),implies(X_21905,X_21907)))),bind(Y,$fot(implies(X_21905,X_21907)))]]) ).
cnf(refute_0_534,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893))),implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893))),X_21893),implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893))))
| is_a_theorem(implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893))) ),
inference(subst,[],[refute_0_499:[bind(X_10974,$fot(implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893)))),bind(X_10975,$fot(X_21893)),bind(X_10976,$fot(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893))))]]) ).
cnf(refute_0_535,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_16327,implies(implies(X_16329,implies(implies(implies(X_16326,X_16328),implies(X_16328,X_16327)),X_16330)),implies(X_16329,X_16330)))))
| is_a_theorem(implies(implies(implies(implies(X_16329,implies(implies(implies(X_16326,X_16328),implies(X_16328,X_16327)),X_16330)),implies(X_16329,X_16330)),X_2),implies(X_6,implies(X_16327,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_16327)),bind(X_5,$fot(implies(implies(X_16329,implies(implies(implies(X_16326,X_16328),implies(X_16328,X_16327)),X_16330)),implies(X_16329,X_16330))))]]) ).
cnf(refute_0_536,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_16318,implies(X_16320,implies(implies(X_16323,implies(implies(implies(X_16319,X_16321),implies(X_16321,X_16320)),X_16324)),implies(X_16323,X_16324))))))
| is_a_theorem(implies(X_16318,implies(X_16320,implies(implies(X_16323,implies(implies(implies(X_16319,X_16321),implies(X_16321,X_16320)),X_16324)),implies(X_16323,X_16324))))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(X_16318,implies(X_16320,implies(implies(X_16323,implies(implies(implies(X_16319,X_16321),implies(X_16321,X_16320)),X_16324)),implies(X_16323,X_16324))))))]]) ).
cnf(refute_0_537,plain,
( ~ is_a_theorem(implies(implies(implies(X_7510,X_7509),X_7510),implies(implies(X_7508,implies(X_7510,X_7509)),implies(X_7508,X_7509))))
| is_a_theorem(implies(implies(implies(X_7510,X_7509),X_7510),implies(X_5863,implies(implies(X_7508,implies(X_7510,X_7509)),implies(X_7508,X_7509))))) ),
inference(subst,[],[refute_0_270:[bind(X_5864,$fot(implies(implies(X_7508,implies(X_7510,X_7509)),implies(X_7508,X_7509)))),bind(X_5865,$fot(implies(implies(X_7510,X_7509),X_7510)))]]) ).
cnf(refute_0_538,plain,
( ~ is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))),implies(X_5964,implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))),implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505)))))
| is_a_theorem(implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505)))) ),
inference(subst,[],[refute_0_299:[bind(X_5965,$fot(implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505)))))]]) ).
cnf(refute_0_539,plain,
is_a_theorem(implies(implies(implies(X_7493,X_7492),X_7492),implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))),
inference(subst,[],[refute_0_246:[bind(X_5814,$fot(implies(X_7493,X_7492))),bind(X_5815,$fot(X_7492))]]) ).
cnf(refute_0_540,plain,
( ~ is_a_theorem(implies(implies(implies(X_7493,X_7492),X_7492),implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))
| is_a_theorem(implies(X_7494,implies(implies(implies(X_7493,X_7492),X_7493),implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))) ),
inference(subst,[],[refute_0_387:[bind(X_5921,$fot(implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))),bind(X_5922,$fot(X_7492)),bind(X_5923,$fot(X_7493)),bind(X_5924,$fot(X_7494))]]) ).
cnf(refute_0_541,plain,
is_a_theorem(implies(X_7494,implies(implies(implies(X_7493,X_7492),X_7493),implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_7493,X_7492),X_7492),implies(implies(X_5816,implies(X_7493,X_7492)),implies(X_5816,X_7492)))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))),implies(X_5964,implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))),implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))),
inference(subst,[],[refute_0_541:[bind(X_5816,$fot(X_7504)),bind(X_7492,$fot(X_7505)),bind(X_7493,$fot(X_7506)),bind(X_7494,$fot(implies(implies(X_5964,implies(X_5964,implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))),implies(X_5964,implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505)))))))]]) ).
cnf(refute_0_543,plain,
is_a_theorem(implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5964,implies(X_5964,implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))),implies(X_5964,implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))),implies(implies(implies(X_7506,X_7505),X_7506),implies(implies(X_7504,implies(X_7506,X_7505)),implies(X_7504,X_7505))))) )],[refute_0_542,refute_0_538]) ).
cnf(refute_0_544,plain,
is_a_theorem(implies(implies(implies(X_7510,X_7509),X_7510),implies(implies(X_7508,implies(X_7510,X_7509)),implies(X_7508,X_7509)))),
inference(subst,[],[refute_0_543:[bind(X_7504,$fot(X_7508)),bind(X_7505,$fot(X_7509)),bind(X_7506,$fot(X_7510))]]) ).
cnf(refute_0_545,plain,
is_a_theorem(implies(implies(implies(X_7510,X_7509),X_7510),implies(X_5863,implies(implies(X_7508,implies(X_7510,X_7509)),implies(X_7508,X_7509))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_7510,X_7509),X_7510),implies(implies(X_7508,implies(X_7510,X_7509)),implies(X_7508,X_7509)))) )],[refute_0_544,refute_0_537]) ).
cnf(refute_0_546,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509),implies(implies(X_13979,X_13982),implies(X_13982,X_13981))),implies(X_13981,implies(implies(X_7508,implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509)),implies(X_7508,X_7509))))),
inference(subst,[],[refute_0_545:[bind(X_5863,$fot(X_13981)),bind(X_7510,$fot(implies(implies(X_13979,X_13982),implies(X_13982,X_13981))))]]) ).
cnf(refute_0_547,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509),implies(implies(X_13979,X_13982),implies(X_13982,X_13981))),implies(X_13981,implies(implies(X_7508,implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509)),implies(X_7508,X_7509)))))
| is_a_theorem(implies(X_13984,implies(X_13978,implies(X_13981,implies(implies(X_7508,implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509)),implies(X_7508,X_7509)))))) ),
inference(subst,[],[refute_0_362:[bind(X_283,$fot(X_13978)),bind(X_284,$fot(X_13979)),bind(X_285,$fot(implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509))),bind(X_286,$fot(X_13981)),bind(X_287,$fot(X_13982)),bind(X_288,$fot(implies(implies(X_7508,implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509)),implies(X_7508,X_7509)))),bind(X_289,$fot(X_13984))]]) ).
cnf(refute_0_548,plain,
is_a_theorem(implies(X_13984,implies(X_13978,implies(X_13981,implies(implies(X_7508,implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509)),implies(X_7508,X_7509)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509),implies(implies(X_13979,X_13982),implies(X_13982,X_13981))),implies(X_13981,implies(implies(X_7508,implies(implies(implies(X_13979,X_13982),implies(X_13982,X_13981)),X_7509)),implies(X_7508,X_7509))))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_16318,implies(X_16320,implies(implies(X_16323,implies(implies(implies(X_16319,X_16321),implies(X_16321,X_16320)),X_16324)),implies(X_16323,X_16324)))))),
inference(subst,[],[refute_0_548:[bind(X_13978,$fot(X_16318)),bind(X_13979,$fot(X_16319)),bind(X_13981,$fot(X_16320)),bind(X_13982,$fot(X_16321)),bind(X_13984,$fot(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)))),bind(X_7508,$fot(X_16323)),bind(X_7509,$fot(X_16324))]]) ).
cnf(refute_0_550,plain,
is_a_theorem(implies(X_16318,implies(X_16320,implies(implies(X_16323,implies(implies(implies(X_16319,X_16321),implies(X_16321,X_16320)),X_16324)),implies(X_16323,X_16324))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_16318,implies(X_16320,implies(implies(X_16323,implies(implies(implies(X_16319,X_16321),implies(X_16321,X_16320)),X_16324)),implies(X_16323,X_16324)))))) )],[refute_0_549,refute_0_536]) ).
cnf(refute_0_551,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_16327,implies(implies(X_16329,implies(implies(implies(X_16326,X_16328),implies(X_16328,X_16327)),X_16330)),implies(X_16329,X_16330))))),
inference(subst,[],[refute_0_550:[bind(X_16318,$fot(implies(X_2,X_3))),bind(X_16319,$fot(X_16326)),bind(X_16320,$fot(X_16327)),bind(X_16321,$fot(X_16328)),bind(X_16323,$fot(X_16329)),bind(X_16324,$fot(X_16330))]]) ).
cnf(refute_0_552,plain,
is_a_theorem(implies(implies(implies(implies(X_16329,implies(implies(implies(X_16326,X_16328),implies(X_16328,X_16327)),X_16330)),implies(X_16329,X_16330)),X_2),implies(X_6,implies(X_16327,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_16327,implies(implies(X_16329,implies(implies(implies(X_16326,X_16328),implies(X_16328,X_16327)),X_16330)),implies(X_16329,X_16330))))) )],[refute_0_551,refute_0_535]) ).
cnf(refute_0_553,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893))),implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893))),X_21893),implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893)))),
inference(subst,[],[refute_0_552:[bind(X_16326,$fot(X_21888)),bind(X_16327,$fot(X_21889)),bind(X_16328,$fot(X_21890)),bind(X_16329,$fot(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)))),bind(X_16330,$fot(implies(X_21889,X_21893))),bind(X_2,$fot(X_21893)),bind(X_6,$fot(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893))))]]) ).
cnf(refute_0_554,plain,
is_a_theorem(implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893))),implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893))),X_21893),implies(implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),implies(X_21889,X_21893)),implies(X_21889,X_21893)))) )],[refute_0_553,refute_0_534]) ).
cnf(refute_0_555,plain,
is_a_theorem(implies(implies(implies(implies(X_21904,X_21906),implies(X_21906,X_21905)),implies(X_21905,X_21907)),implies(X_21905,X_21907))),
inference(subst,[],[refute_0_554:[bind(X_21888,$fot(X_21904)),bind(X_21889,$fot(X_21905)),bind(X_21890,$fot(X_21906)),bind(X_21893,$fot(X_21907))]]) ).
cnf(refute_0_556,plain,
( ~ is_a_theorem(implies(implies(implies(X_21904,X_21906),implies(X_21906,X_21905)),implies(X_21905,X_21907)))
| is_a_theorem(implies(X_21905,X_21907)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_21904,X_21906),implies(X_21906,X_21905)),implies(X_21905,X_21907)),implies(X_21905,X_21907))) )],[refute_0_555,refute_0_533]) ).
cnf(refute_0_557,plain,
( ~ is_a_theorem(implies(implies(implies(X_21929,X_21931),implies(X_21931,implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384))),implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),implies(X_21383,X_21384))))
| is_a_theorem(implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),implies(X_21383,X_21384))) ),
inference(subst,[],[refute_0_556:[bind(X_21904,$fot(X_21929)),bind(X_21905,$fot(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384))),bind(X_21906,$fot(X_21931)),bind(X_21907,$fot(implies(X_21383,X_21384)))]]) ).
cnf(refute_0_558,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),implies(X_21383,X_21384))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_21929,X_21931),implies(X_21931,implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384))),implies(implies(implies(implies(implies(X_21384,X_21382),X_21381),X_21381),X_21384),implies(X_21383,X_21384)))) )],[refute_0_532,refute_0_557]) ).
cnf(refute_0_559,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_22115,X_22113),X_22112),X_22112),X_22115),implies(X_22114,X_22115))),
inference(subst,[],[refute_0_558:[bind(X_21381,$fot(X_22112)),bind(X_21382,$fot(X_22113)),bind(X_21383,$fot(X_22114)),bind(X_21384,$fot(X_22115))]]) ).
cnf(refute_0_560,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_22115,X_22113),X_22112),X_22112),X_22115))
| is_a_theorem(implies(X_22114,X_22115)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_22115,X_22113),X_22112),X_22112),X_22115),implies(X_22114,X_22115))) )],[refute_0_559,refute_0_379]) ).
cnf(refute_0_561,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187),X_22113),X_29189),X_29189),implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187)))
| is_a_theorem(implies(X_22114,implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187))) ),
inference(subst,[],[refute_0_560:[bind(X_22112,$fot(X_29189)),bind(X_22115,$fot(implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187)))]]) ).
cnf(refute_0_562,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),X_19749),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),implies(X_19750,implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181)))),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))))
| is_a_theorem(implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))) ),
inference(subst,[],[refute_0_370:[bind(X_19752,$fot(implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))))]]) ).
cnf(refute_0_563,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_13572,implies(implies(X_13572,implies(implies(X_13575,X_13575),X_13574)),X_13574))))
| is_a_theorem(implies(X_13572,implies(implies(X_13572,implies(implies(X_13575,X_13575),X_13574)),X_13574))) ),
inference(subst,[],[refute_0_351:[bind(X_10012,$fot(implies(X_13572,implies(implies(X_13572,implies(implies(X_13575,X_13575),X_13574)),X_13574))))]]) ).
cnf(refute_0_564,plain,
( ~ is_a_theorem(implies(implies(X_6073,implies(implies(X_6075,X_6075),X_6074)),implies(X_6073,X_6074)))
| is_a_theorem(implies(implies(X_5820,implies(X_6073,implies(implies(X_6075,X_6075),X_6074))),implies(X_5820,implies(X_6073,X_6074)))) ),
inference(subst,[],[refute_0_266:[bind(X_5818,$fot(implies(X_6073,implies(implies(X_6075,X_6075),X_6074)))),bind(X_5819,$fot(implies(X_6073,X_6074)))]]) ).
cnf(refute_0_565,plain,
is_a_theorem(implies(implies(X_6073,implies(implies(X_6075,X_6075),X_6074)),implies(X_6073,X_6074))),
inference(subst,[],[refute_0_494:[bind(X_5820,$fot(X_6073)),bind(X_5962,$fot(X_6074)),bind(X_5963,$fot(X_6075))]]) ).
cnf(refute_0_566,plain,
is_a_theorem(implies(implies(X_5820,implies(X_6073,implies(implies(X_6075,X_6075),X_6074))),implies(X_5820,implies(X_6073,X_6074)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6073,implies(implies(X_6075,X_6075),X_6074)),implies(X_6073,X_6074))) )],[refute_0_565,refute_0_564]) ).
cnf(refute_0_567,plain,
is_a_theorem(implies(implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),implies(implies(X_6075,X_6075),X_6074))),implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),X_6074)))),
inference(subst,[],[refute_0_566:[bind(X_5820,$fot(X_13565)),bind(X_6073,$fot(implies(X_13565,implies(implies(X_6075,X_6075),X_6074))))]]) ).
cnf(refute_0_568,plain,
( ~ is_a_theorem(implies(implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),implies(implies(X_6075,X_6075),X_6074))),implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),X_6074))))
| is_a_theorem(implies(X_13566,implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),X_6074)))) ),
inference(subst,[],[refute_0_450:[bind(X_8136,$fot(implies(implies(X_6075,X_6075),X_6074))),bind(X_8137,$fot(X_13565)),bind(X_8138,$fot(X_13566)),bind(X_8139,$fot(implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),X_6074))))]]) ).
cnf(refute_0_569,plain,
is_a_theorem(implies(X_13566,implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),X_6074)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),implies(implies(X_6075,X_6075),X_6074))),implies(X_13565,implies(implies(X_13565,implies(implies(X_6075,X_6075),X_6074)),X_6074)))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_13572,implies(implies(X_13572,implies(implies(X_13575,X_13575),X_13574)),X_13574)))),
inference(subst,[],[refute_0_569:[bind(X_13565,$fot(X_13572)),bind(X_13566,$fot(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)))),bind(X_6074,$fot(X_13574)),bind(X_6075,$fot(X_13575))]]) ).
cnf(refute_0_571,plain,
is_a_theorem(implies(X_13572,implies(implies(X_13572,implies(implies(X_13575,X_13575),X_13574)),X_13574))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_10013,X_10014),X_10015),X_10014),implies(X_10013,X_10014)),implies(X_13572,implies(implies(X_13572,implies(implies(X_13575,X_13575),X_13574)),X_13574)))) )],[refute_0_570,refute_0_563]) ).
cnf(refute_0_572,plain,
is_a_theorem(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(X_13575,X_13575),X_13574)),X_13574))),
inference(subst,[],[refute_0_571:[bind(X_13572,$fot(implies(X_28838,implies(X_28840,X_28838))))]]) ).
cnf(refute_0_573,plain,
( ~ is_a_theorem(implies(implies(X_2216,implies(X_2218,X_2216)),X_2215))
| ~ is_a_theorem(implies(implies(implies(X_2216,implies(X_2218,X_2216)),X_2215),implies(X_2219,implies(implies(implies(X_2217,X_2216),X_2216),X_2215))))
| is_a_theorem(implies(X_2219,implies(implies(implies(X_2217,X_2216),X_2216),X_2215))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_2216,implies(X_2218,X_2216)),X_2215))),bind(Y,$fot(implies(X_2219,implies(implies(implies(X_2217,X_2216),X_2216),X_2215))))]]) ).
cnf(refute_0_574,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211)))))
| is_a_theorem(implies(implies(implies(X_2211,implies(X_2213,X_2211)),X_2),implies(X_6,implies(implies(implies(X_2212,X_2211),X_2211),X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(implies(implies(X_2212,X_2211),X_2211))),bind(X_5,$fot(implies(X_2211,implies(X_2213,X_2211))))]]) ).
cnf(refute_0_575,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211))))),
inference(subst,[],[refute_0_136:[bind(X_2206,$fot(X_2211)),bind(X_2207,$fot(X_2212)),bind(X_2208,$fot(X_2213)),bind(X_2209,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_576,plain,
is_a_theorem(implies(implies(implies(X_2211,implies(X_2213,X_2211)),X_2),implies(X_6,implies(implies(implies(X_2212,X_2211),X_2211),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2212,X_2211),X_2211),implies(X_2211,implies(X_2213,X_2211))))) )],[refute_0_575,refute_0_574]) ).
cnf(refute_0_577,plain,
is_a_theorem(implies(implies(implies(X_2216,implies(X_2218,X_2216)),X_2215),implies(X_2219,implies(implies(implies(X_2217,X_2216),X_2216),X_2215)))),
inference(subst,[],[refute_0_576:[bind(X_2,$fot(X_2215)),bind(X_2211,$fot(X_2216)),bind(X_2212,$fot(X_2217)),bind(X_2213,$fot(X_2218)),bind(X_6,$fot(X_2219))]]) ).
cnf(refute_0_578,plain,
( ~ is_a_theorem(implies(implies(X_2216,implies(X_2218,X_2216)),X_2215))
| is_a_theorem(implies(X_2219,implies(implies(implies(X_2217,X_2216),X_2216),X_2215))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2216,implies(X_2218,X_2216)),X_2215),implies(X_2219,implies(implies(implies(X_2217,X_2216),X_2216),X_2215)))) )],[refute_0_577,refute_0_573]) ).
cnf(refute_0_579,plain,
( ~ is_a_theorem(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(X_13575,X_13575),X_13574)),X_13574)))
| is_a_theorem(implies(X_28841,implies(implies(implies(X_28839,X_28838),X_28838),implies(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(X_13575,X_13575),X_13574)),X_13574)))) ),
inference(subst,[],[refute_0_578:[bind(X_2215,$fot(implies(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(X_13575,X_13575),X_13574)),X_13574))),bind(X_2216,$fot(X_28838)),bind(X_2217,$fot(X_28839)),bind(X_2218,$fot(X_28840)),bind(X_2219,$fot(X_28841))]]) ).
cnf(refute_0_580,plain,
is_a_theorem(implies(X_28841,implies(implies(implies(X_28839,X_28838),X_28838),implies(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(X_13575,X_13575),X_13574)),X_13574)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(implies(X_28838,implies(X_28840,X_28838)),implies(implies(X_13575,X_13575),X_13574)),X_13574))) )],[refute_0_572,refute_0_579]) ).
cnf(refute_0_581,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),X_19749),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),implies(X_19750,implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181)))),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181)))),
inference(subst,[],[refute_0_580:[bind(X_13574,$fot(X_29181)),bind(X_13575,$fot(X_29182)),bind(X_28838,$fot(X_29183)),bind(X_28839,$fot(X_29184)),bind(X_28840,$fot(X_29185)),bind(X_28841,$fot(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),X_19749),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),implies(X_19750,implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))))))]]) ).
cnf(refute_0_582,plain,
is_a_theorem(implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),X_19749),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181))),implies(X_19750,implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181)))),implies(implies(implies(X_29184,X_29183),X_29183),implies(implies(implies(X_29183,implies(X_29185,X_29183)),implies(implies(X_29182,X_29182),X_29181)),X_29181)))) )],[refute_0_581,refute_0_562]) ).
cnf(refute_0_583,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187),X_22113),X_29189),X_29189),implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187))),
inference(subst,[],[refute_0_582:[bind(X_29181,$fot(X_29187)),bind(X_29182,$fot(X_29188)),bind(X_29183,$fot(X_29189)),bind(X_29184,$fot(implies(implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187),X_22113))),bind(X_29185,$fot(X_29191))]]) ).
cnf(refute_0_584,plain,
is_a_theorem(implies(X_22114,implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187),X_22113),X_29189),X_29189),implies(implies(implies(X_29189,implies(X_29191,X_29189)),implies(implies(X_29188,X_29188),X_29187)),X_29187))) )],[refute_0_583,refute_0_561]) ).
cnf(refute_0_585,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),X_19749),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),implies(X_19750,implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198))),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198))),
inference(subst,[],[refute_0_584:[bind(X_22114,$fot(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),X_19749),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),implies(X_19750,implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198))))),bind(X_29187,$fot(X_29198)),bind(X_29188,$fot(X_29199)),bind(X_29189,$fot(X_29200)),bind(X_29191,$fot(X_29201))]]) ).
cnf(refute_0_586,plain,
is_a_theorem(implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),X_19749),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198)),implies(X_19750,implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198))),implies(implies(implies(X_29200,implies(X_29201,X_29200)),implies(implies(X_29199,X_29199),X_29198)),X_29198))) )],[refute_0_585,refute_0_378]) ).
cnf(refute_0_587,plain,
is_a_theorem(implies(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),X_29226)),X_29226)),
inference(subst,[],[refute_0_586:[bind(X_29198,$fot(X_29226)),bind(X_29199,$fot(X_29227)),bind(X_29200,$fot(X_29228)),bind(X_29201,$fot(X_29229))]]) ).
cnf(refute_0_588,plain,
( ~ is_a_theorem(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),X_29226)))
| is_a_theorem(X_29226) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),X_29226)),X_29226)) )],[refute_0_587,refute_0_377]) ).
cnf(refute_0_589,plain,
( ~ is_a_theorem(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),implies(implies(implies(X_33208,X_33208),implies(implies(X_33205,implies(implies(X_33205,X_33204),X_33204)),X_33203)),X_33203))))
| is_a_theorem(implies(implies(implies(X_33208,X_33208),implies(implies(X_33205,implies(implies(X_33205,X_33204),X_33204)),X_33203)),X_33203)) ),
inference(subst,[],[refute_0_588:[bind(X_29226,$fot(implies(implies(implies(X_33208,X_33208),implies(implies(X_33205,implies(implies(X_33205,X_33204),X_33204)),X_33203)),X_33203)))]]) ).
cnf(refute_0_590,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_8127,X_8127),X_8126),X_8126),X_8129))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X_8127,X_8127),X_8126),X_8126),X_8129),implies(X_8128,X_8129)))
| is_a_theorem(implies(X_8128,X_8129)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_8127,X_8127),X_8126),X_8126),X_8129))),bind(Y,$fot(implies(X_8128,X_8129)))]]) ).
cnf(refute_0_591,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_5928),implies(implies(implies(X_5968,X_5968),X_5967),X_5967)))
| is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_5928),X_5928)) ),
inference(subst,[],[refute_0_206:[bind(X_5929,$fot(implies(implies(implies(X_5968,X_5968),X_5967),X_5967)))]]) ).
cnf(refute_0_592,plain,
( ~ is_a_theorem(implies(implies(implies(X_5963,X_5963),X_5962),X_5962))
| is_a_theorem(implies(X_4036,implies(implies(implies(X_5963,X_5963),X_5962),X_5962))) ),
inference(subst,[],[refute_0_309:[bind(X_4035,$fot(implies(implies(implies(X_5963,X_5963),X_5962),X_5962)))]]) ).
cnf(refute_0_593,plain,
is_a_theorem(implies(X_4036,implies(implies(implies(X_5963,X_5963),X_5962),X_5962))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5963,X_5963),X_5962),X_5962)) )],[refute_0_235,refute_0_592]) ).
cnf(refute_0_594,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_5928),implies(implies(implies(X_5968,X_5968),X_5967),X_5967))),
inference(subst,[],[refute_0_593:[bind(X_4036,$fot(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_5928))),bind(X_5962,$fot(X_5967)),bind(X_5963,$fot(X_5968))]]) ).
cnf(refute_0_595,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_5928),X_5928)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_5928),implies(implies(implies(X_5968,X_5968),X_5967),X_5967))) )],[refute_0_594,refute_0_591]) ).
cnf(refute_0_596,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_6721),X_6721)),
inference(subst,[],[refute_0_595:[bind(X_5928,$fot(X_6721))]]) ).
cnf(refute_0_597,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_6721),X_6721))
| is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_6721),implies(X_6720,X_6721))) ),
inference(subst,[],[refute_0_270:[bind(X_5863,$fot(X_6720)),bind(X_5864,$fot(X_6721)),bind(X_5865,$fot(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_6721)))]]) ).
cnf(refute_0_598,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_6721),implies(X_6720,X_6721))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_5968,X_5968),X_5967),X_5967),X_6721),X_6721)) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_8127,X_8127),X_8126),X_8126),X_8129),implies(X_8128,X_8129))),
inference(subst,[],[refute_0_598:[bind(X_5967,$fot(X_8126)),bind(X_5968,$fot(X_8127)),bind(X_6720,$fot(X_8128)),bind(X_6721,$fot(X_8129))]]) ).
cnf(refute_0_600,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_8127,X_8127),X_8126),X_8126),X_8129))
| is_a_theorem(implies(X_8128,X_8129)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_8127,X_8127),X_8126),X_8126),X_8129),implies(X_8128,X_8129))) )],[refute_0_599,refute_0_590]) ).
cnf(refute_0_601,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500)))
| is_a_theorem(implies(X_8128,implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500))) ),
inference(subst,[],[refute_0_600:[bind(X_8126,$fot(implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500))),bind(X_8129,$fot(implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500)))]]) ).
cnf(refute_0_602,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),X_19749),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),implies(X_19750,implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495)))),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))))
| is_a_theorem(implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))) ),
inference(subst,[],[refute_0_370:[bind(X_19752,$fot(implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))))]]) ).
cnf(refute_0_603,plain,
( ~ is_a_theorem(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),implies(implies(X_15801,implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_15802)),implies(X_15801,X_15802))))
| is_a_theorem(implies(X_8138,implies(implies(X_15801,implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_15802)),implies(X_15801,X_15802)))) ),
inference(subst,[],[refute_0_450:[bind(X_8139,$fot(implies(implies(X_15801,implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_15802)),implies(X_15801,X_15802))))]]) ).
cnf(refute_0_604,plain,
is_a_theorem(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),implies(implies(X_15801,implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_15802)),implies(X_15801,X_15802)))),
inference(subst,[],[refute_0_523:[bind(X_15797,$fot(X_15801)),bind(X_15798,$fot(X_15802)),bind(X_15799,$fot(implies(X_8137,implies(implies(X_8137,X_8136),X_8136))))]]) ).
cnf(refute_0_605,plain,
is_a_theorem(implies(X_8138,implies(implies(X_15801,implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_15802)),implies(X_15801,X_15802)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),implies(implies(X_15801,implies(implies(X_8137,implies(implies(X_8137,X_8136),X_8136)),X_15802)),implies(X_15801,X_15802)))) )],[refute_0_604,refute_0_603]) ).
cnf(refute_0_606,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),X_19749),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),implies(X_19750,implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495)))),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495)))),
inference(subst,[],[refute_0_605:[bind(X_15801,$fot(X_30494)),bind(X_15802,$fot(X_30495)),bind(X_8136,$fot(X_30496)),bind(X_8137,$fot(X_30497)),bind(X_8138,$fot(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),X_19749),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),implies(X_19750,implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))))))]]) ).
cnf(refute_0_607,plain,
is_a_theorem(implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),X_19749),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495))),implies(X_19750,implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495)))),implies(implies(X_30494,implies(implies(X_30497,implies(implies(X_30497,X_30496),X_30496)),X_30495)),implies(X_30494,X_30495)))) )],[refute_0_606,refute_0_602]) ).
cnf(refute_0_608,plain,
is_a_theorem(implies(implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500))),
inference(subst,[],[refute_0_607:[bind(X_30494,$fot(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)))),bind(X_30495,$fot(X_30500)),bind(X_30496,$fot(X_30501)),bind(X_30497,$fot(X_30502))]]) ).
cnf(refute_0_609,plain,
is_a_theorem(implies(X_8128,implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500))) )],[refute_0_608,refute_0_601]) ).
cnf(refute_0_610,plain,
is_a_theorem(implies(implies(X_32509,implies(X_32508,implies(implies(implies(X_32506,X_32505),X_32505),implies(X_32505,implies(X_32507,X_32505))))),implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500))),
inference(subst,[],[refute_0_609:[bind(X_8128,$fot(implies(X_32509,implies(X_32508,implies(implies(implies(X_32506,X_32505),X_32505),implies(X_32505,implies(X_32507,X_32505)))))))]]) ).
cnf(refute_0_611,plain,
( ~ is_a_theorem(implies(implies(X_2118,implies(X_2117,implies(implies(implies(X_2115,X_2114),X_2114),implies(X_2114,implies(X_2116,X_2114))))),X_2112))
| ~ is_a_theorem(implies(implies(implies(X_2118,implies(X_2117,implies(implies(implies(X_2115,X_2114),X_2114),implies(X_2114,implies(X_2116,X_2114))))),X_2112),implies(X_2111,implies(X_2113,X_2112))))
| is_a_theorem(implies(X_2111,implies(X_2113,X_2112))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_2118,implies(X_2117,implies(implies(implies(X_2115,X_2114),X_2114),implies(X_2114,implies(X_2116,X_2114))))),X_2112))),bind(Y,$fot(implies(X_2111,implies(X_2113,X_2112))))]]) ).
cnf(refute_0_612,plain,
( ~ is_a_theorem(implies(X_2083,implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079))))))
| is_a_theorem(implies(implies(implies(X_2083,implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079))))),X_1201),implies(X_1200,implies(X_1203,X_1201)))) ),
inference(subst,[],[refute_0_107:[bind(X_1202,$fot(implies(X_2083,implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079)))))))]]) ).
cnf(refute_0_613,plain,
is_a_theorem(implies(implies(implies(X_2083,implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079))))),X_1201),implies(X_1200,implies(X_1203,X_1201)))),
inference(resolve,[$cnf( is_a_theorem(implies(X_2083,implies(X_2082,implies(implies(implies(X_2080,X_2079),X_2079),implies(X_2079,implies(X_2081,X_2079)))))) )],[refute_0_133,refute_0_612]) ).
cnf(refute_0_614,plain,
is_a_theorem(implies(implies(implies(X_2118,implies(X_2117,implies(implies(implies(X_2115,X_2114),X_2114),implies(X_2114,implies(X_2116,X_2114))))),X_2112),implies(X_2111,implies(X_2113,X_2112)))),
inference(subst,[],[refute_0_613:[bind(X_1200,$fot(X_2111)),bind(X_1201,$fot(X_2112)),bind(X_1203,$fot(X_2113)),bind(X_2079,$fot(X_2114)),bind(X_2080,$fot(X_2115)),bind(X_2081,$fot(X_2116)),bind(X_2082,$fot(X_2117)),bind(X_2083,$fot(X_2118))]]) ).
cnf(refute_0_615,plain,
( ~ is_a_theorem(implies(implies(X_2118,implies(X_2117,implies(implies(implies(X_2115,X_2114),X_2114),implies(X_2114,implies(X_2116,X_2114))))),X_2112))
| is_a_theorem(implies(X_2111,implies(X_2113,X_2112))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2118,implies(X_2117,implies(implies(implies(X_2115,X_2114),X_2114),implies(X_2114,implies(X_2116,X_2114))))),X_2112),implies(X_2111,implies(X_2113,X_2112)))) )],[refute_0_614,refute_0_611]) ).
cnf(refute_0_616,plain,
( ~ is_a_theorem(implies(implies(X_32509,implies(X_32508,implies(implies(implies(X_32506,X_32505),X_32505),implies(X_32505,implies(X_32507,X_32505))))),implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500)))
| is_a_theorem(implies(X_32502,implies(X_32504,implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500)))) ),
inference(subst,[],[refute_0_615:[bind(X_2111,$fot(X_32502)),bind(X_2112,$fot(implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500))),bind(X_2113,$fot(X_32504)),bind(X_2114,$fot(X_32505)),bind(X_2115,$fot(X_32506)),bind(X_2116,$fot(X_32507)),bind(X_2117,$fot(X_32508)),bind(X_2118,$fot(X_32509))]]) ).
cnf(refute_0_617,plain,
is_a_theorem(implies(X_32502,implies(X_32504,implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_32509,implies(X_32508,implies(implies(implies(X_32506,X_32505),X_32505),implies(X_32505,implies(X_32507,X_32505))))),implies(implies(implies(X_8127,X_8127),implies(implies(X_30502,implies(implies(X_30502,X_30501),X_30501)),X_30500)),X_30500))) )],[refute_0_610,refute_0_616]) ).
cnf(refute_0_618,plain,
is_a_theorem(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),implies(implies(implies(X_33208,X_33208),implies(implies(X_33205,implies(implies(X_33205,X_33204),X_33204)),X_33203)),X_33203)))),
inference(subst,[],[refute_0_617:[bind(X_30500,$fot(X_33203)),bind(X_30501,$fot(X_33204)),bind(X_30502,$fot(X_33205)),bind(X_32502,$fot(implies(X_29228,implies(X_29229,X_29228)))),bind(X_32504,$fot(implies(X_29227,X_29227))),bind(X_8127,$fot(X_33208))]]) ).
cnf(refute_0_619,plain,
is_a_theorem(implies(implies(implies(X_33208,X_33208),implies(implies(X_33205,implies(implies(X_33205,X_33204),X_33204)),X_33203)),X_33203)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_29228,implies(X_29229,X_29228)),implies(implies(X_29227,X_29227),implies(implies(implies(X_33208,X_33208),implies(implies(X_33205,implies(implies(X_33205,X_33204),X_33204)),X_33203)),X_33203)))) )],[refute_0_618,refute_0_589]) ).
cnf(refute_0_620,plain,
is_a_theorem(implies(implies(implies(X_33212,X_33212),implies(implies(X_33211,implies(implies(X_33211,X_33210),X_33210)),X_33209)),X_33209)),
inference(subst,[],[refute_0_619:[bind(X_33203,$fot(X_33209)),bind(X_33204,$fot(X_33210)),bind(X_33205,$fot(X_33211)),bind(X_33208,$fot(X_33212))]]) ).
cnf(refute_0_621,plain,
( ~ is_a_theorem(implies(implies(X_33212,X_33212),implies(implies(X_33211,implies(implies(X_33211,X_33210),X_33210)),X_33209)))
| is_a_theorem(X_33209) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_33212,X_33212),implies(implies(X_33211,implies(implies(X_33211,X_33210),X_33210)),X_33209)),X_33209)) )],[refute_0_620,refute_0_376]) ).
cnf(refute_0_622,plain,
( ~ is_a_theorem(implies(implies(X_33227,X_33227),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225)),implies(X_5844,implies(implies(X_5841,X_5842),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225))))))
| is_a_theorem(implies(X_5844,implies(implies(X_5841,X_5842),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225)))) ),
inference(subst,[],[refute_0_621:[bind(X_33209,$fot(implies(X_5844,implies(implies(X_5841,X_5842),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225))))),bind(X_33210,$fot(X_33225)),bind(X_33211,$fot(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)))),bind(X_33212,$fot(X_33227))]]) ).
cnf(refute_0_623,plain,
is_a_theorem(implies(X_5844,implies(implies(X_5841,X_5842),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_33227,X_33227),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225)),implies(X_5844,implies(implies(X_5841,X_5842),implies(implies(implies(implies(X_5843,X_5841),implies(X_5843,X_5842)),X_33225),X_33225)))))) )],[refute_0_375,refute_0_622]) ).
cnf(refute_0_624,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),X_19749),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),implies(X_19750,implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484)))),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484)))),
inference(subst,[],[refute_0_623:[bind(X_33225,$fot(X_33484)),bind(X_5841,$fot(X_33485)),bind(X_5842,$fot(X_33486)),bind(X_5843,$fot(X_33487)),bind(X_5844,$fot(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),X_19749),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),implies(X_19750,implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))))))]]) ).
cnf(refute_0_625,plain,
is_a_theorem(implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_19751,X_19751),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),X_19749),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484))),implies(X_19750,implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484)))),implies(implies(X_33485,X_33486),implies(implies(implies(implies(X_33487,X_33485),implies(X_33487,X_33486)),X_33484),X_33484)))) )],[refute_0_624,refute_0_371]) ).
cnf(refute_0_626,plain,
is_a_theorem(implies(implies(X_33490,X_33491),implies(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),X_6373)),implies(implies(X_33490,X_33491),X_6373)))),
inference(subst,[],[refute_0_625:[bind(X_33484,$fot(implies(implies(X_33490,X_33491),X_6373))),bind(X_33485,$fot(X_33490)),bind(X_33486,$fot(X_33491)),bind(X_33487,$fot(X_33492))]]) ).
cnf(refute_0_627,plain,
is_a_theorem(implies(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),X_6373)),implies(implies(X_33490,X_33491),X_6373))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_33490,X_33491),implies(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),X_6373)),implies(implies(X_33490,X_33491),X_6373)))) )],[refute_0_626,refute_0_259]) ).
cnf(refute_0_628,plain,
is_a_theorem(implies(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),implies(X_33492,X_33491))),implies(implies(X_33490,X_33491),implies(X_33492,X_33491)))),
inference(subst,[],[refute_0_627:[bind(X_6373,$fot(implies(X_33492,X_33491)))]]) ).
cnf(refute_0_629,plain,
( ~ is_a_theorem(implies(implies(implies(X_22231,X_22233),implies(X_22232,X_22233)),X_22230))
| ~ is_a_theorem(implies(implies(implies(implies(X_22231,X_22233),implies(X_22232,X_22233)),X_22230),implies(X_22231,X_22230)))
| is_a_theorem(implies(X_22231,X_22230)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_22231,X_22233),implies(X_22232,X_22233)),X_22230))),bind(Y,$fot(implies(X_22231,X_22230)))]]) ).
cnf(refute_0_630,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396)))))
| is_a_theorem(implies(implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2),implies(X_6,implies(X_7394,X_2)))) ),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_7394)),bind(X_5,$fot(implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))]]) ).
cnf(refute_0_631,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))),
inference(subst,[],[refute_0_331:[bind(X_7388,$fot(implies(X_2,X_3))),bind(X_7390,$fot(X_7394)),bind(X_7391,$fot(X_7395)),bind(X_7392,$fot(X_7396))]]) ).
cnf(refute_0_632,plain,
is_a_theorem(implies(implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2),implies(X_6,implies(X_7394,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_7394,implies(implies(X_7394,X_7396),implies(X_7395,X_7396))))) )],[refute_0_631,refute_0_630]) ).
cnf(refute_0_633,plain,
is_a_theorem(implies(implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2),implies(implies(implies(X_21946,X_21948),implies(X_21948,implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2))),implies(X_7394,X_2)))),
inference(subst,[],[refute_0_632:[bind(X_6,$fot(implies(implies(X_21946,X_21948),implies(X_21948,implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2)))))]]) ).
cnf(refute_0_634,plain,
( ~ is_a_theorem(implies(X_21896,implies(implies(implies(X_21895,X_21897),implies(X_21897,X_21896)),X_21898)))
| ~ is_a_theorem(implies(implies(X_21896,implies(implies(implies(X_21895,X_21897),implies(X_21897,X_21896)),X_21898)),implies(X_21896,X_21898)))
| is_a_theorem(implies(X_21896,X_21898)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_21896,implies(implies(implies(X_21895,X_21897),implies(X_21897,X_21896)),X_21898)))),bind(Y,$fot(implies(X_21896,X_21898)))]]) ).
cnf(refute_0_635,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893)),X_21893),implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893))))
| is_a_theorem(implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893))) ),
inference(subst,[],[refute_0_409:[bind(X_6293,$fot(implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893)))),bind(X_6294,$fot(X_21893))]]) ).
cnf(refute_0_636,plain,
is_a_theorem(implies(implies(implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893)),X_21893),implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893)))),
inference(subst,[],[refute_0_552:[bind(X_16326,$fot(X_21888)),bind(X_16327,$fot(X_21889)),bind(X_16328,$fot(X_21890)),bind(X_16329,$fot(X_21889)),bind(X_16330,$fot(X_21893)),bind(X_2,$fot(X_21893)),bind(X_6,$fot(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893))))]]) ).
cnf(refute_0_637,plain,
is_a_theorem(implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893)),X_21893),implies(implies(X_21889,implies(implies(implies(X_21888,X_21890),implies(X_21890,X_21889)),X_21893)),implies(X_21889,X_21893)))) )],[refute_0_636,refute_0_635]) ).
cnf(refute_0_638,plain,
is_a_theorem(implies(implies(X_21896,implies(implies(implies(X_21895,X_21897),implies(X_21897,X_21896)),X_21898)),implies(X_21896,X_21898))),
inference(subst,[],[refute_0_637:[bind(X_21888,$fot(X_21895)),bind(X_21889,$fot(X_21896)),bind(X_21890,$fot(X_21897)),bind(X_21893,$fot(X_21898))]]) ).
cnf(refute_0_639,plain,
( ~ is_a_theorem(implies(X_21896,implies(implies(implies(X_21895,X_21897),implies(X_21897,X_21896)),X_21898)))
| is_a_theorem(implies(X_21896,X_21898)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_21896,implies(implies(implies(X_21895,X_21897),implies(X_21897,X_21896)),X_21898)),implies(X_21896,X_21898))) )],[refute_0_638,refute_0_634]) ).
cnf(refute_0_640,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2),implies(implies(implies(X_21946,X_21948),implies(X_21948,implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2))),implies(X_7394,X_2))))
| is_a_theorem(implies(implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2),implies(X_7394,X_2))) ),
inference(subst,[],[refute_0_639:[bind(X_21895,$fot(X_21946)),bind(X_21896,$fot(implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2))),bind(X_21897,$fot(X_21948)),bind(X_21898,$fot(implies(X_7394,X_2)))]]) ).
cnf(refute_0_641,plain,
is_a_theorem(implies(implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2),implies(X_7394,X_2))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2),implies(implies(implies(X_21946,X_21948),implies(X_21948,implies(implies(implies(X_7394,X_7396),implies(X_7395,X_7396)),X_2))),implies(X_7394,X_2)))) )],[refute_0_633,refute_0_640]) ).
cnf(refute_0_642,plain,
is_a_theorem(implies(implies(implies(implies(X_22231,X_22233),implies(X_22232,X_22233)),X_22230),implies(X_22231,X_22230))),
inference(subst,[],[refute_0_641:[bind(X_2,$fot(X_22230)),bind(X_7394,$fot(X_22231)),bind(X_7395,$fot(X_22232)),bind(X_7396,$fot(X_22233))]]) ).
cnf(refute_0_643,plain,
( ~ is_a_theorem(implies(implies(implies(X_22231,X_22233),implies(X_22232,X_22233)),X_22230))
| is_a_theorem(implies(X_22231,X_22230)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_22231,X_22233),implies(X_22232,X_22233)),X_22230),implies(X_22231,X_22230))) )],[refute_0_642,refute_0_629]) ).
cnf(refute_0_644,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),implies(X_33492,X_33491))),implies(implies(X_33490,X_33491),implies(X_33492,X_33491))))
| is_a_theorem(implies(implies(X_33492,X_33490),implies(implies(X_33490,X_33491),implies(X_33492,X_33491)))) ),
inference(subst,[],[refute_0_643:[bind(X_22230,$fot(implies(implies(X_33490,X_33491),implies(X_33492,X_33491)))),bind(X_22231,$fot(implies(X_33492,X_33490))),bind(X_22232,$fot(implies(X_33490,X_33491))),bind(X_22233,$fot(implies(X_33492,X_33491)))]]) ).
cnf(refute_0_645,plain,
is_a_theorem(implies(implies(X_33492,X_33490),implies(implies(X_33490,X_33491),implies(X_33492,X_33491)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_33492,X_33490),implies(X_33492,X_33491)),implies(implies(X_33490,X_33491),implies(X_33492,X_33491))),implies(implies(X_33490,X_33491),implies(X_33492,X_33491)))) )],[refute_0_628,refute_0_644]) ).
cnf(refute_0_646,plain,
is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
inference(subst,[],[refute_0_645:[bind(X_33490,$fot(b)),bind(X_33491,$fot(c)),bind(X_33492,$fot(a))]]) ).
cnf(refute_0_647,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) )],[refute_0_646,prove_ic_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL093-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 3 17:49:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 75.17/75.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 75.17/75.39
% 75.17/75.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 75.29/75.47
%------------------------------------------------------------------------------