TSTP Solution File: LCL095-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 12:49:26 EDT 2022
% Result : Unsatisfiable 124.11s 124.34s
% Output : CNFRefutation 124.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 101
% Number of leaves : 3
% Syntax : Number of clauses : 329 ( 178 unt; 0 nHn; 42 RR)
% Number of literals : 515 ( 0 equ; 187 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 1760 ( 768 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_5,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))) ).
cnf(refute_0_0,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_1,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,$fot(X_6))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4,X_5)))
| is_a_theorem(implies(implies(X_5,X_2),implies(X_6,implies(X_4,X_2)))) ),
inference(resolve,[$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_1,refute_0_0]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_19049,implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))))
| is_a_theorem(implies(implies(implies(X_19048,implies(implies(X_19048,X_19047),X_19047)),X_2),implies(X_6,implies(X_19049,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_19049)),bind(X_5,$fot(implies(X_19048,implies(implies(X_19048,X_19047),X_19047))))]]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(implies(X_2986,X_2988),X_2986))
| ~ is_a_theorem(implies(implies(implies(X_2986,X_2988),X_2986),implies(X_2989,implies(X_2987,X_2986))))
| is_a_theorem(implies(X_2989,implies(X_2987,X_2986))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_2986,X_2988),X_2986))),bind(Y,$fot(implies(X_2989,implies(X_2987,X_2986))))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_2968,implies(X_2,X_3))))
| is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_2968,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_2968)),bind(X_5,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_2940)),bind(X_5,$fot(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936)))))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_976,implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))),X_2),implies(X_6,implies(X_976,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_976)),bind(X_5,$fot(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972)))))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(implies(X_469,X_470),implies(X_470,implies(X_471,implies(X_468,X_470)))))
| is_a_theorem(implies(implies(implies(X_471,implies(X_468,X_470)),X_469),implies(X_6,implies(X_470,X_469)))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_469)),bind(X_3,$fot(X_470)),bind(X_4,$fot(X_470)),bind(X_5,$fot(implies(X_471,implies(X_468,X_470))))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_48,implies(X_53,X_51)),implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))))))
| is_a_theorem(implies(implies(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))),X_2),implies(X_6,implies(implies(X_48,implies(X_53,X_51)),X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(implies(X_48,implies(X_53,X_51)))),bind(X_5,$fot(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51))))))]]) ).
cnf(refute_0_10,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_11,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_2:[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,$fot(X_11))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(implies(T,implies(R,P)),implies(P,Q)),implies(X_11,implies(implies(S,P),implies(P,Q))))),
inference(resolve,[$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_11]) ).
cnf(refute_0_13,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_12:[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_14,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,[$cnf( is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13))))) )],[refute_0_13,refute_0_10]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_40,X_38))),implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))))
| is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_40,X_38)),implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))))) ),
inference(subst,[],[refute_0_14:[bind(X_12,$fot(implies(X_40,X_38))),bind(X_13,$fot(implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38)))))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25))))),
inference(subst,[],[refute_0_12:[bind(P,$fot(X_27)),bind(Q,$fot(X_25)),bind(X_11,$fot(X_25))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25)))))
| 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_14:[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_18,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,[$cnf( is_a_theorem(implies(implies(implies(T,implies(R,X_27)),implies(X_27,X_25)),implies(X_25,implies(implies(S,X_27),implies(X_27,X_25))))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_40,X_38))),implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38)))))),
inference(subst,[],[refute_0_18:[bind(S,$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_16,implies(X_14,implies(X_40,X_38)))))]]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,implies(X_40,X_38)),implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_16,implies(X_14,implies(X_40,X_38))),implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38)))))) )],[refute_0_19,refute_0_15]) ).
cnf(refute_0_21,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_48,implies(X_53,X_51)),implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51))))))),
inference(subst,[],[refute_0_20:[bind(X_15,$fot(X_48)),bind(X_17,$fot(implies(X_2,X_3))),bind(X_37,$fot(X_50)),bind(X_38,$fot(X_51)),bind(X_39,$fot(X_52)),bind(X_40,$fot(X_53))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(implies(implies(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))),X_2),implies(X_6,implies(implies(X_48,implies(X_53,X_51)),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_48,implies(X_53,X_51)),implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51))))))) )],[refute_0_21,refute_0_9]) ).
cnf(refute_0_23,plain,
( ~ is_a_theorem(X_87)
| ~ is_a_theorem(implies(X_87,implies(implies(X_86,X_88),implies(X_88,implies(X_89,implies(X_85,X_88))))))
| is_a_theorem(implies(implies(X_86,X_88),implies(X_88,implies(X_89,implies(X_85,X_88))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_87)),bind(Y,$fot(implies(implies(X_86,X_88),implies(X_88,implies(X_89,implies(X_85,X_88))))))]]) ).
cnf(refute_0_24,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),implies(X_14,X_80)),implies(X_80,implies(X_82,implies(X_14,X_80)))))
| is_a_theorem(implies(X_17,implies(implies(X_15,X_80),implies(X_80,implies(X_82,implies(X_14,X_80)))))) ),
inference(subst,[],[refute_0_14:[bind(X_12,$fot(X_80)),bind(X_13,$fot(implies(X_82,implies(X_14,X_80)))),bind(X_16,$fot(implies(implies(X_81,X_83),implies(X_83,X_82))))]]) ).
cnf(refute_0_25,plain,
( ~ is_a_theorem(implies(implies(X_75,X_73),implies(X_73,implies(implies(X_72,X_74),implies(X_74,X_73)))))
| is_a_theorem(implies(implies(implies(implies(X_72,X_74),implies(X_74,X_73)),X_75),implies(X_6,implies(X_73,X_75)))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_75)),bind(X_3,$fot(X_73)),bind(X_4,$fot(X_73)),bind(X_5,$fot(implies(implies(X_72,X_74),implies(X_74,X_73))))]]) ).
cnf(refute_0_26,plain,
( ~ is_a_theorem(implies(implies(implies(X_16,implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(implies(X_15,X_12),implies(X_12,X_13)))))
| is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12)))))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$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,$fot(implies(implies(X_15,X_12),implies(X_12,X_13))))]]) ).
cnf(refute_0_27,plain,
is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12)))))),
inference(resolve,[$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_13,refute_0_26]) ).
cnf(refute_0_28,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_29,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_18:[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,$fot(X_41))]]) ).
cnf(refute_0_30,plain,
( ~ is_a_theorem(X_41)
| is_a_theorem(implies(implies(X_40,X_38),implies(X_38,implies(implies(X_37,X_39),implies(X_39,X_38))))) ),
inference(resolve,[$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_29,refute_0_28]) ).
cnf(refute_0_31,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_70,X_68),implies(X_68,implies(implies(X_67,X_69),implies(X_69,X_68))))) ),
inference(subst,[],[refute_0_30:[bind(X_37,$fot(X_67)),bind(X_38,$fot(X_68)),bind(X_39,$fot(X_69)),bind(X_40,$fot(X_70)),bind(X_41,$fot(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_16,implies(X_14,X_12))),implies(X_6,implies(X_17,implies(X_16,implies(X_14,X_12)))))))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(implies(X_70,X_68),implies(X_68,implies(implies(X_67,X_69),implies(X_69,X_68))))),
inference(resolve,[$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_27,refute_0_31]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(implies(X_75,X_73),implies(X_73,implies(implies(X_72,X_74),implies(X_74,X_73))))),
inference(subst,[],[refute_0_32:[bind(X_67,$fot(X_72)),bind(X_68,$fot(X_73)),bind(X_69,$fot(X_74)),bind(X_70,$fot(X_75))]]) ).
cnf(refute_0_34,plain,
is_a_theorem(implies(implies(implies(implies(X_72,X_74),implies(X_74,X_73)),X_75),implies(X_6,implies(X_73,X_75)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_75,X_73),implies(X_73,implies(implies(X_72,X_74),implies(X_74,X_73))))) )],[refute_0_33,refute_0_25]) ).
cnf(refute_0_35,plain,
is_a_theorem(implies(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),implies(X_14,X_80)),implies(X_80,implies(X_82,implies(X_14,X_80))))),
inference(subst,[],[refute_0_34:[bind(X_6,$fot(X_80)),bind(X_72,$fot(X_81)),bind(X_73,$fot(X_82)),bind(X_74,$fot(X_83)),bind(X_75,$fot(implies(X_14,X_80)))]]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(X_17,implies(implies(X_15,X_80),implies(X_80,implies(X_82,implies(X_14,X_80)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),implies(X_14,X_80)),implies(X_80,implies(X_82,implies(X_14,X_80))))) )],[refute_0_35,refute_0_24]) ).
cnf(refute_0_37,plain,
is_a_theorem(implies(X_87,implies(implies(X_86,X_88),implies(X_88,implies(X_89,implies(X_85,X_88)))))),
inference(subst,[],[refute_0_36:[bind(X_14,$fot(X_85)),bind(X_15,$fot(X_86)),bind(X_17,$fot(X_87)),bind(X_80,$fot(X_88)),bind(X_82,$fot(X_89))]]) ).
cnf(refute_0_38,plain,
( ~ is_a_theorem(X_87)
| is_a_theorem(implies(implies(X_86,X_88),implies(X_88,implies(X_89,implies(X_85,X_88))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_87,implies(implies(X_86,X_88),implies(X_88,implies(X_89,implies(X_85,X_88)))))) )],[refute_0_37,refute_0_23]) ).
cnf(refute_0_39,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))),X_2),implies(X_6,implies(implies(X_48,implies(X_53,X_51)),X_2))))
| is_a_theorem(implies(implies(X_464,X_466),implies(X_466,implies(X_467,implies(X_463,X_466))))) ),
inference(subst,[],[refute_0_38:[bind(X_85,$fot(X_463)),bind(X_86,$fot(X_464)),bind(X_87,$fot(implies(implies(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))),X_2),implies(X_6,implies(implies(X_48,implies(X_53,X_51)),X_2))))),bind(X_88,$fot(X_466)),bind(X_89,$fot(X_467))]]) ).
cnf(refute_0_40,plain,
is_a_theorem(implies(implies(X_464,X_466),implies(X_466,implies(X_467,implies(X_463,X_466))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))),X_2),implies(X_6,implies(implies(X_48,implies(X_53,X_51)),X_2)))) )],[refute_0_22,refute_0_39]) ).
cnf(refute_0_41,plain,
is_a_theorem(implies(implies(X_469,X_470),implies(X_470,implies(X_471,implies(X_468,X_470))))),
inference(subst,[],[refute_0_40:[bind(X_463,$fot(X_468)),bind(X_464,$fot(X_469)),bind(X_466,$fot(X_470)),bind(X_467,$fot(X_471))]]) ).
cnf(refute_0_42,plain,
is_a_theorem(implies(implies(implies(X_471,implies(X_468,X_470)),X_469),implies(X_6,implies(X_470,X_469)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_469,X_470),implies(X_470,implies(X_471,implies(X_468,X_470))))) )],[refute_0_41,refute_0_8]) ).
cnf(refute_0_43,plain,
is_a_theorem(implies(implies(implies(X_471,implies(X_468,X_470)),X_469),implies(X_914,implies(X_470,X_469)))),
inference(subst,[],[refute_0_42:[bind(X_6,$fot(X_914))]]) ).
cnf(refute_0_44,plain,
( ~ is_a_theorem(implies(X_168,implies(X_171,X_172)))
| ~ is_a_theorem(implies(implies(X_168,implies(X_171,X_172)),implies(X_169,implies(X_170,implies(X_168,implies(X_171,X_172))))))
| is_a_theorem(implies(X_169,implies(X_170,implies(X_168,implies(X_171,X_172))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_168,implies(X_171,X_172)))),bind(Y,$fot(implies(X_169,implies(X_170,implies(X_168,implies(X_171,X_172))))))]]) ).
cnf(refute_0_45,plain,
is_a_theorem(implies(implies(implies(implies(X_72,X_74),implies(X_74,X_73)),X_75),implies(X_164,implies(X_73,X_75)))),
inference(subst,[],[refute_0_34:[bind(X_6,$fot(X_164))]]) ).
cnf(refute_0_46,plain,
( ~ is_a_theorem(implies(X_143,implies(X_140,X_139)))
| ~ is_a_theorem(implies(implies(X_143,implies(X_140,X_139)),implies(implies(X_140,X_139),implies(X_141,implies(X_142,implies(X_140,X_139))))))
| is_a_theorem(implies(implies(X_140,X_139),implies(X_141,implies(X_142,implies(X_140,X_139))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_143,implies(X_140,X_139)))),bind(Y,$fot(implies(implies(X_140,X_139),implies(X_141,implies(X_142,implies(X_140,X_139))))))]]) ).
cnf(refute_0_47,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_48,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_27:[bind(X_16,$fot(X_27)),bind(X_6,$fot(implies(X_14,X_12)))]]) ).
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))))))
| 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_14:[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_50,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,[$cnf( is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_12,X_13)),implies(X_27,implies(X_14,X_12))),implies(implies(X_14,X_12),implies(X_17,implies(X_27,implies(X_14,X_12)))))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
is_a_theorem(implies(X_36,implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31))))))),
inference(subst,[],[refute_0_50:[bind(X_12,$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,$fot(X_36))]]) ).
cnf(refute_0_52,plain,
( ~ is_a_theorem(X_36)
| is_a_theorem(implies(implies(X_35,implies(X_32,X_31)),implies(implies(X_32,X_31),implies(X_33,implies(X_34,implies(X_32,X_31)))))) ),
inference(resolve,[$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_51,refute_0_47]) ).
cnf(refute_0_53,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))),X_2),implies(X_6,implies(implies(X_48,implies(X_53,X_51)),X_2))))
| is_a_theorem(implies(implies(X_137,implies(X_134,X_133)),implies(implies(X_134,X_133),implies(X_135,implies(X_136,implies(X_134,X_133)))))) ),
inference(subst,[],[refute_0_52:[bind(X_31,$fot(X_133)),bind(X_32,$fot(X_134)),bind(X_33,$fot(X_135)),bind(X_34,$fot(X_136)),bind(X_35,$fot(X_137)),bind(X_36,$fot(implies(implies(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))),X_2),implies(X_6,implies(implies(X_48,implies(X_53,X_51)),X_2)))))]]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(implies(X_137,implies(X_134,X_133)),implies(implies(X_134,X_133),implies(X_135,implies(X_136,implies(X_134,X_133)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_53,X_51),implies(X_51,implies(implies(X_50,X_52),implies(X_52,X_51)))),X_2),implies(X_6,implies(implies(X_48,implies(X_53,X_51)),X_2)))) )],[refute_0_22,refute_0_53]) ).
cnf(refute_0_55,plain,
is_a_theorem(implies(implies(X_143,implies(X_140,X_139)),implies(implies(X_140,X_139),implies(X_141,implies(X_142,implies(X_140,X_139)))))),
inference(subst,[],[refute_0_54:[bind(X_133,$fot(X_139)),bind(X_134,$fot(X_140)),bind(X_135,$fot(X_141)),bind(X_136,$fot(X_142)),bind(X_137,$fot(X_143))]]) ).
cnf(refute_0_56,plain,
( ~ is_a_theorem(implies(X_143,implies(X_140,X_139)))
| is_a_theorem(implies(implies(X_140,X_139),implies(X_141,implies(X_142,implies(X_140,X_139))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_143,implies(X_140,X_139)),implies(implies(X_140,X_139),implies(X_141,implies(X_142,implies(X_140,X_139)))))) )],[refute_0_55,refute_0_46]) ).
cnf(refute_0_57,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_72,X_74),implies(X_74,X_73)),X_75),implies(X_164,implies(X_73,X_75))))
| is_a_theorem(implies(implies(X_164,implies(X_73,X_75)),implies(X_165,implies(X_166,implies(X_164,implies(X_73,X_75)))))) ),
inference(subst,[],[refute_0_56:[bind(X_139,$fot(implies(X_73,X_75))),bind(X_140,$fot(X_164)),bind(X_141,$fot(X_165)),bind(X_142,$fot(X_166)),bind(X_143,$fot(implies(implies(implies(X_72,X_74),implies(X_74,X_73)),X_75)))]]) ).
cnf(refute_0_58,plain,
is_a_theorem(implies(implies(X_164,implies(X_73,X_75)),implies(X_165,implies(X_166,implies(X_164,implies(X_73,X_75)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_72,X_74),implies(X_74,X_73)),X_75),implies(X_164,implies(X_73,X_75)))) )],[refute_0_45,refute_0_57]) ).
cnf(refute_0_59,plain,
is_a_theorem(implies(implies(X_168,implies(X_171,X_172)),implies(X_169,implies(X_170,implies(X_168,implies(X_171,X_172)))))),
inference(subst,[],[refute_0_58:[bind(X_164,$fot(X_168)),bind(X_165,$fot(X_169)),bind(X_166,$fot(X_170)),bind(X_73,$fot(X_171)),bind(X_75,$fot(X_172))]]) ).
cnf(refute_0_60,plain,
( ~ is_a_theorem(implies(X_168,implies(X_171,X_172)))
| is_a_theorem(implies(X_169,implies(X_170,implies(X_168,implies(X_171,X_172))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_168,implies(X_171,X_172)),implies(X_169,implies(X_170,implies(X_168,implies(X_171,X_172)))))) )],[refute_0_59,refute_0_44]) ).
cnf(refute_0_61,plain,
( ~ is_a_theorem(implies(implies(implies(X_471,implies(X_468,X_470)),X_469),implies(X_914,implies(X_470,X_469))))
| is_a_theorem(implies(X_912,implies(X_913,implies(implies(implies(X_471,implies(X_468,X_470)),X_469),implies(X_914,implies(X_470,X_469)))))) ),
inference(subst,[],[refute_0_60:[bind(X_168,$fot(implies(implies(X_471,implies(X_468,X_470)),X_469))),bind(X_169,$fot(X_912)),bind(X_170,$fot(X_913)),bind(X_171,$fot(X_914)),bind(X_172,$fot(implies(X_470,X_469)))]]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(X_912,implies(X_913,implies(implies(implies(X_471,implies(X_468,X_470)),X_469),implies(X_914,implies(X_470,X_469)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_471,implies(X_468,X_470)),X_469),implies(X_914,implies(X_470,X_469)))) )],[refute_0_43,refute_0_61]) ).
cnf(refute_0_63,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_976,implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972)))))),
inference(subst,[],[refute_0_62:[bind(X_468,$fot(X_971)),bind(X_469,$fot(X_972)),bind(X_470,$fot(X_973)),bind(X_471,$fot(X_974)),bind(X_912,$fot(implies(X_2,X_3))),bind(X_913,$fot(X_976)),bind(X_914,$fot(X_977))]]) ).
cnf(refute_0_64,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))),X_2),implies(X_6,implies(X_976,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_976,implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972)))))) )],[refute_0_63,refute_0_7]) ).
cnf(refute_0_65,plain,
( ~ is_a_theorem(X_215)
| ~ is_a_theorem(implies(X_215,implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216))))))
| is_a_theorem(implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_215)),bind(Y,$fot(implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216))))))]]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(implies(implies(X_199,X_201),implies(X_201,X_200)),implies(implies(X_200,X_199),implies(T,implies(X_201,X_199))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_199)),bind(Q,$fot(X_201)),bind(R,$fot(X_201)),bind(S,$fot(X_200))]]) ).
cnf(refute_0_67,plain,
( ~ is_a_theorem(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),X_84))
| ~ is_a_theorem(implies(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),X_84),implies(X_80,implies(X_82,X_84))))
| is_a_theorem(implies(X_80,implies(X_82,X_84))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),X_84))),bind(Y,$fot(implies(X_80,implies(X_82,X_84))))]]) ).
cnf(refute_0_68,plain,
is_a_theorem(implies(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),X_84),implies(X_80,implies(X_82,X_84)))),
inference(subst,[],[refute_0_34:[bind(X_6,$fot(X_80)),bind(X_72,$fot(X_81)),bind(X_73,$fot(X_82)),bind(X_74,$fot(X_83)),bind(X_75,$fot(X_84))]]) ).
cnf(refute_0_69,plain,
( ~ is_a_theorem(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),X_84))
| is_a_theorem(implies(X_80,implies(X_82,X_84))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_81,X_83),implies(X_83,X_82)),X_84),implies(X_80,implies(X_82,X_84)))) )],[refute_0_68,refute_0_67]) ).
cnf(refute_0_70,plain,
( ~ is_a_theorem(implies(implies(implies(X_199,X_201),implies(X_201,X_200)),implies(implies(X_200,X_199),implies(T,implies(X_201,X_199)))))
| is_a_theorem(implies(X_198,implies(X_200,implies(implies(X_200,X_199),implies(T,implies(X_201,X_199)))))) ),
inference(subst,[],[refute_0_69:[bind(X_80,$fot(X_198)),bind(X_81,$fot(X_199)),bind(X_82,$fot(X_200)),bind(X_83,$fot(X_201)),bind(X_84,$fot(implies(implies(X_200,X_199),implies(T,implies(X_201,X_199)))))]]) ).
cnf(refute_0_71,plain,
is_a_theorem(implies(X_198,implies(X_200,implies(implies(X_200,X_199),implies(T,implies(X_201,X_199)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_199,X_201),implies(X_201,X_200)),implies(implies(X_200,X_199),implies(T,implies(X_201,X_199))))) )],[refute_0_66,refute_0_70]) ).
cnf(refute_0_72,plain,
is_a_theorem(implies(X_215,implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216)))))),
inference(subst,[],[refute_0_71:[bind(T,$fot(X_214)),bind(X_198,$fot(X_215)),bind(X_199,$fot(X_216)),bind(X_200,$fot(X_217)),bind(X_201,$fot(X_218))]]) ).
cnf(refute_0_73,plain,
( ~ is_a_theorem(X_215)
| is_a_theorem(implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_215,implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216)))))) )],[refute_0_72,refute_0_65]) ).
cnf(refute_0_74,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))),X_2),implies(X_6,implies(X_976,X_2))))
| is_a_theorem(implies(X_1347,implies(implies(X_1347,X_1346),implies(X_1344,implies(X_1348,X_1346))))) ),
inference(subst,[],[refute_0_73:[bind(X_214,$fot(X_1344)),bind(X_215,$fot(implies(implies(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))),X_2),implies(X_6,implies(X_976,X_2))))),bind(X_216,$fot(X_1346)),bind(X_217,$fot(X_1347)),bind(X_218,$fot(X_1348))]]) ).
cnf(refute_0_75,plain,
is_a_theorem(implies(X_1347,implies(implies(X_1347,X_1346),implies(X_1344,implies(X_1348,X_1346))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))),X_2),implies(X_6,implies(X_976,X_2)))) )],[refute_0_64,refute_0_74]) ).
cnf(refute_0_76,plain,
is_a_theorem(implies(implies(implies(X_2769,X_2768),X_2772),implies(implies(implies(implies(X_2769,X_2768),X_2772),X_2768),implies(X_2771,implies(X_2769,X_2768))))),
inference(subst,[],[refute_0_75:[bind(X_1344,$fot(X_2771)),bind(X_1346,$fot(X_2768)),bind(X_1347,$fot(implies(implies(X_2769,X_2768),X_2772))),bind(X_1348,$fot(X_2769))]]) ).
cnf(refute_0_77,plain,
( ~ is_a_theorem(implies(implies(implies(X_482,X_481),X_485),implies(X_483,implies(X_484,implies(X_482,X_481)))))
| ~ is_a_theorem(implies(implies(implies(implies(X_482,X_481),X_485),implies(X_483,implies(X_484,implies(X_482,X_481)))),implies(X_487,implies(X_486,implies(X_483,implies(X_484,implies(X_482,X_481)))))))
| is_a_theorem(implies(X_487,implies(X_486,implies(X_483,implies(X_484,implies(X_482,X_481)))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_482,X_481),X_485),implies(X_483,implies(X_484,implies(X_482,X_481)))))),bind(Y,$fot(implies(X_487,implies(X_486,implies(X_483,implies(X_484,implies(X_482,X_481)))))))]]) ).
cnf(refute_0_78,plain,
( ~ is_a_theorem(implies(implies(implies(X_146,implies(X_147,implies(X_145,X_144))),X_148),implies(X_149,implies(implies(X_145,X_144),X_148))))
| is_a_theorem(implies(implies(implies(implies(X_145,X_144),X_148),implies(X_146,implies(X_147,implies(X_145,X_144)))),implies(X_6,implies(X_149,implies(X_146,implies(X_147,implies(X_145,X_144))))))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(implies(X_146,implies(X_147,implies(X_145,X_144))))),bind(X_3,$fot(X_148)),bind(X_4,$fot(X_149)),bind(X_5,$fot(implies(implies(X_145,X_144),X_148)))]]) ).
cnf(refute_0_79,plain,
( ~ is_a_theorem(implies(implies(X_143,implies(X_140,X_139)),implies(implies(X_140,X_139),implies(X_141,implies(X_142,implies(X_140,X_139))))))
| is_a_theorem(implies(implies(implies(X_141,implies(X_142,implies(X_140,X_139))),X_143),implies(X_6,implies(implies(X_140,X_139),X_143)))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_143)),bind(X_3,$fot(implies(X_140,X_139))),bind(X_4,$fot(implies(X_140,X_139))),bind(X_5,$fot(implies(X_141,implies(X_142,implies(X_140,X_139)))))]]) ).
cnf(refute_0_80,plain,
is_a_theorem(implies(implies(implies(X_141,implies(X_142,implies(X_140,X_139))),X_143),implies(X_6,implies(implies(X_140,X_139),X_143)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_143,implies(X_140,X_139)),implies(implies(X_140,X_139),implies(X_141,implies(X_142,implies(X_140,X_139)))))) )],[refute_0_55,refute_0_79]) ).
cnf(refute_0_81,plain,
is_a_theorem(implies(implies(implies(X_146,implies(X_147,implies(X_145,X_144))),X_148),implies(X_149,implies(implies(X_145,X_144),X_148)))),
inference(subst,[],[refute_0_80:[bind(X_139,$fot(X_144)),bind(X_140,$fot(X_145)),bind(X_141,$fot(X_146)),bind(X_142,$fot(X_147)),bind(X_143,$fot(X_148)),bind(X_6,$fot(X_149))]]) ).
cnf(refute_0_82,plain,
is_a_theorem(implies(implies(implies(implies(X_145,X_144),X_148),implies(X_146,implies(X_147,implies(X_145,X_144)))),implies(X_6,implies(X_149,implies(X_146,implies(X_147,implies(X_145,X_144))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_146,implies(X_147,implies(X_145,X_144))),X_148),implies(X_149,implies(implies(X_145,X_144),X_148)))) )],[refute_0_81,refute_0_78]) ).
cnf(refute_0_83,plain,
is_a_theorem(implies(implies(implies(implies(X_482,X_481),X_485),implies(X_483,implies(X_484,implies(X_482,X_481)))),implies(X_487,implies(X_486,implies(X_483,implies(X_484,implies(X_482,X_481))))))),
inference(subst,[],[refute_0_82:[bind(X_144,$fot(X_481)),bind(X_145,$fot(X_482)),bind(X_146,$fot(X_483)),bind(X_147,$fot(X_484)),bind(X_148,$fot(X_485)),bind(X_149,$fot(X_486)),bind(X_6,$fot(X_487))]]) ).
cnf(refute_0_84,plain,
( ~ is_a_theorem(implies(implies(implies(X_482,X_481),X_485),implies(X_483,implies(X_484,implies(X_482,X_481)))))
| is_a_theorem(implies(X_487,implies(X_486,implies(X_483,implies(X_484,implies(X_482,X_481)))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_482,X_481),X_485),implies(X_483,implies(X_484,implies(X_482,X_481)))),implies(X_487,implies(X_486,implies(X_483,implies(X_484,implies(X_482,X_481))))))) )],[refute_0_83,refute_0_77]) ).
cnf(refute_0_85,plain,
( ~ is_a_theorem(implies(implies(implies(X_2769,X_2768),X_2772),implies(implies(implies(implies(X_2769,X_2768),X_2772),X_2768),implies(X_2771,implies(X_2769,X_2768)))))
| is_a_theorem(implies(X_2774,implies(X_2773,implies(implies(implies(implies(X_2769,X_2768),X_2772),X_2768),implies(X_2771,implies(X_2769,X_2768)))))) ),
inference(subst,[],[refute_0_84:[bind(X_481,$fot(X_2768)),bind(X_482,$fot(X_2769)),bind(X_483,$fot(implies(implies(implies(X_2769,X_2768),X_2772),X_2768))),bind(X_484,$fot(X_2771)),bind(X_485,$fot(X_2772)),bind(X_486,$fot(X_2773)),bind(X_487,$fot(X_2774))]]) ).
cnf(refute_0_86,plain,
is_a_theorem(implies(X_2774,implies(X_2773,implies(implies(implies(implies(X_2769,X_2768),X_2772),X_2768),implies(X_2771,implies(X_2769,X_2768)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2769,X_2768),X_2772),implies(implies(implies(implies(X_2769,X_2768),X_2772),X_2768),implies(X_2771,implies(X_2769,X_2768))))) )],[refute_0_76,refute_0_85]) ).
cnf(refute_0_87,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936)))))),
inference(subst,[],[refute_0_86:[bind(X_2768,$fot(X_2936)),bind(X_2769,$fot(X_2937)),bind(X_2771,$fot(X_2938)),bind(X_2772,$fot(X_2939)),bind(X_2773,$fot(X_2940)),bind(X_2774,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_88,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936)))))) )],[refute_0_87,refute_0_6]) ).
cnf(refute_0_89,plain,
( ~ is_a_theorem(X_2963)
| ~ is_a_theorem(implies(X_2963,implies(X_2964,implies(X_2962,X_2964))))
| is_a_theorem(implies(X_2964,implies(X_2962,X_2964))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2963)),bind(Y,$fot(implies(X_2964,implies(X_2962,X_2964))))]]) ).
cnf(refute_0_90,plain,
( ~ is_a_theorem(X_2957)
| ~ is_a_theorem(implies(X_2957,implies(X_2955,implies(X_2956,implies(X_2954,X_2956)))))
| is_a_theorem(implies(X_2955,implies(X_2956,implies(X_2954,X_2956)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2957)),bind(Y,$fot(implies(X_2955,implies(X_2956,implies(X_2954,X_2956)))))]]) ).
cnf(refute_0_91,plain,
( ~ is_a_theorem(X_2794)
| ~ is_a_theorem(implies(X_2794,implies(X_2793,implies(X_2791,implies(X_2792,implies(X_2790,X_2792))))))
| is_a_theorem(implies(X_2793,implies(X_2791,implies(X_2792,implies(X_2790,X_2792))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2794)),bind(Y,$fot(implies(X_2793,implies(X_2791,implies(X_2792,implies(X_2790,X_2792))))))]]) ).
cnf(refute_0_92,plain,
( ~ is_a_theorem(implies(implies(implies(X_1877,X_1876),X_1876),implies(X_1876,implies(X_1878,X_1876))))
| is_a_theorem(implies(implies(implies(X_1878,X_1876),implies(X_1877,X_1876)),implies(X_6,implies(X_1876,implies(X_1877,X_1876))))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(implies(X_1877,X_1876))),bind(X_3,$fot(X_1876)),bind(X_4,$fot(X_1876)),bind(X_5,$fot(implies(X_1878,X_1876)))]]) ).
cnf(refute_0_93,plain,
( ~ is_a_theorem(X_1351)
| ~ is_a_theorem(implies(X_1351,implies(implies(X_1351,X_1350),implies(X_1349,implies(X_1352,X_1350)))))
| is_a_theorem(implies(implies(X_1351,X_1350),implies(X_1349,implies(X_1352,X_1350)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1351)),bind(Y,$fot(implies(implies(X_1351,X_1350),implies(X_1349,implies(X_1352,X_1350)))))]]) ).
cnf(refute_0_94,plain,
is_a_theorem(implies(X_1351,implies(implies(X_1351,X_1350),implies(X_1349,implies(X_1352,X_1350))))),
inference(subst,[],[refute_0_75:[bind(X_1344,$fot(X_1349)),bind(X_1346,$fot(X_1350)),bind(X_1347,$fot(X_1351)),bind(X_1348,$fot(X_1352))]]) ).
cnf(refute_0_95,plain,
( ~ is_a_theorem(X_1351)
| is_a_theorem(implies(implies(X_1351,X_1350),implies(X_1349,implies(X_1352,X_1350)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_1351,implies(implies(X_1351,X_1350),implies(X_1349,implies(X_1352,X_1350))))) )],[refute_0_94,refute_0_93]) ).
cnf(refute_0_96,plain,
( ~ is_a_theorem(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) ),
inference(subst,[],[refute_0_95:[bind(X_1351,$fot(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849)))))]]) ).
cnf(refute_0_97,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843)))))
| is_a_theorem(implies(implies(implies(X_1843,implies(X_1845,X_1843)),X_2),implies(X_6,implies(implies(implies(X_1844,X_1843),X_1843),X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(implies(implies(X_1844,X_1843),X_1843))),bind(X_5,$fot(implies(X_1843,implies(X_1845,X_1843))))]]) ).
cnf(refute_0_98,plain,
( ~ is_a_theorem(X_1696)
| ~ is_a_theorem(implies(X_1696,implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697))))))
| is_a_theorem(implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1696)),bind(Y,$fot(implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697))))))]]) ).
cnf(refute_0_99,plain,
is_a_theorem(implies(implies(implies(X_1690,Q),implies(X_1694,implies(X_1692,X_1690))),implies(implies(implies(X_1692,X_1690),X_1690),implies(X_1690,implies(X_1694,X_1690))))),
inference(subst,[],[ic_JLukasiewicz_5:[bind(P,$fot(X_1690)),bind(R,$fot(X_1694)),bind(S,$fot(implies(X_1692,X_1690))),bind(T,$fot(X_1690))]]) ).
cnf(refute_0_100,plain,
( ~ is_a_theorem(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))))
| ~ is_a_theorem(implies(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))))
| is_a_theorem(implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))))),bind(Y,$fot(implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))))]]) ).
cnf(refute_0_101,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_2:[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_102,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_27:[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,$fot(X_24))]]) ).
cnf(refute_0_103,plain,
is_a_theorem(implies(implies(implies(X_23,implies(X_22,implies(X_20,X_18))),implies(implies(X_21,X_18),implies(X_18,X_19))),implies(X_6,implies(X_24,implies(implies(X_21,X_18),implies(X_18,X_19)))))),
inference(resolve,[$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_102,refute_0_101]) ).
cnf(refute_0_104,plain,
is_a_theorem(implies(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96)))))),
inference(subst,[],[refute_0_103:[bind(X_18,$fot(X_95)),bind(X_19,$fot(X_96)),bind(X_20,$fot(X_97)),bind(X_21,$fot(X_98)),bind(X_22,$fot(X_99)),bind(X_23,$fot(X_100)),bind(X_24,$fot(X_101)),bind(X_6,$fot(X_102))]]) ).
cnf(refute_0_105,plain,
( ~ is_a_theorem(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))))
| is_a_theorem(implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_100,implies(X_99,implies(X_97,X_95))),implies(implies(X_98,X_95),implies(X_95,X_96))),implies(X_102,implies(X_101,implies(implies(X_98,X_95),implies(X_95,X_96)))))) )],[refute_0_104,refute_0_100]) ).
cnf(refute_0_106,plain,
( ~ is_a_theorem(implies(implies(implies(X_1690,Q),implies(X_1694,implies(X_1692,X_1690))),implies(implies(implies(X_1692,X_1690),X_1690),implies(X_1690,implies(X_1694,X_1690)))))
| is_a_theorem(implies(X_1689,implies(X_1688,implies(implies(implies(X_1692,X_1690),X_1690),implies(X_1690,implies(X_1694,X_1690)))))) ),
inference(subst,[],[refute_0_105:[bind(X_100,$fot(implies(X_1690,Q))),bind(X_101,$fot(X_1688)),bind(X_102,$fot(X_1689)),bind(X_95,$fot(X_1690)),bind(X_96,$fot(implies(X_1694,X_1690))),bind(X_97,$fot(X_1692)),bind(X_98,$fot(implies(X_1692,X_1690))),bind(X_99,$fot(X_1694))]]) ).
cnf(refute_0_107,plain,
is_a_theorem(implies(X_1689,implies(X_1688,implies(implies(implies(X_1692,X_1690),X_1690),implies(X_1690,implies(X_1694,X_1690)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1690,Q),implies(X_1694,implies(X_1692,X_1690))),implies(implies(implies(X_1692,X_1690),X_1690),implies(X_1690,implies(X_1694,X_1690))))) )],[refute_0_99,refute_0_106]) ).
cnf(refute_0_108,plain,
is_a_theorem(implies(X_1696,implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697)))))),
inference(subst,[],[refute_0_107:[bind(X_1688,$fot(X_1695)),bind(X_1689,$fot(X_1696)),bind(X_1690,$fot(X_1697)),bind(X_1692,$fot(X_1698)),bind(X_1694,$fot(X_1699))]]) ).
cnf(refute_0_109,plain,
( ~ is_a_theorem(X_1696)
| is_a_theorem(implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_1696,implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697)))))) )],[refute_0_108,refute_0_98]) ).
cnf(refute_0_110,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))),X_2),implies(X_6,implies(X_976,X_2))))
| is_a_theorem(implies(X_1837,implies(implies(implies(X_1840,X_1839),X_1839),implies(X_1839,implies(X_1841,X_1839))))) ),
inference(subst,[],[refute_0_109:[bind(X_1695,$fot(X_1837)),bind(X_1696,$fot(implies(implies(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))),X_2),implies(X_6,implies(X_976,X_2))))),bind(X_1697,$fot(X_1839)),bind(X_1698,$fot(X_1840)),bind(X_1699,$fot(X_1841))]]) ).
cnf(refute_0_111,plain,
is_a_theorem(implies(X_1837,implies(implies(implies(X_1840,X_1839),X_1839),implies(X_1839,implies(X_1841,X_1839))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_974,implies(X_971,X_973)),X_972),implies(X_977,implies(X_973,X_972))),X_2),implies(X_6,implies(X_976,X_2)))) )],[refute_0_64,refute_0_110]) ).
cnf(refute_0_112,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843))))),
inference(subst,[],[refute_0_111:[bind(X_1837,$fot(implies(X_2,X_3))),bind(X_1839,$fot(X_1843)),bind(X_1840,$fot(X_1844)),bind(X_1841,$fot(X_1845))]]) ).
cnf(refute_0_113,plain,
is_a_theorem(implies(implies(implies(X_1843,implies(X_1845,X_1843)),X_2),implies(X_6,implies(implies(implies(X_1844,X_1843),X_1843),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843))))) )],[refute_0_112,refute_0_97]) ).
cnf(refute_0_114,plain,
is_a_theorem(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849)))),
inference(subst,[],[refute_0_113:[bind(X_1843,$fot(X_1846)),bind(X_1844,$fot(X_1847)),bind(X_1845,$fot(X_1848)),bind(X_2,$fot(X_1849)),bind(X_6,$fot(X_1850))]]) ).
cnf(refute_0_115,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849))),X_1350),implies(X_1349,implies(X_1352,X_1350)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849)))) )],[refute_0_114,refute_0_96]) ).
cnf(refute_0_116,plain,
( ~ is_a_theorem(X_1842)
| ~ is_a_theorem(implies(X_1842,implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843)))))
| is_a_theorem(implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1842)),bind(Y,$fot(implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843)))))]]) ).
cnf(refute_0_117,plain,
is_a_theorem(implies(X_1842,implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843))))),
inference(subst,[],[refute_0_111:[bind(X_1837,$fot(X_1842)),bind(X_1839,$fot(X_1843)),bind(X_1840,$fot(X_1844)),bind(X_1841,$fot(X_1845))]]) ).
cnf(refute_0_118,plain,
( ~ is_a_theorem(X_1842)
| is_a_theorem(implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_1842,implies(implies(implies(X_1844,X_1843),X_1843),implies(X_1843,implies(X_1845,X_1843))))) )],[refute_0_117,refute_0_116]) ).
cnf(refute_0_119,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849))),X_1350),implies(X_1349,implies(X_1352,X_1350))))
| is_a_theorem(implies(implies(implies(X_1874,X_1873),X_1873),implies(X_1873,implies(X_1875,X_1873)))) ),
inference(subst,[],[refute_0_118:[bind(X_1842,$fot(implies(implies(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849))),X_1350),implies(X_1349,implies(X_1352,X_1350))))),bind(X_1843,$fot(X_1873)),bind(X_1844,$fot(X_1874)),bind(X_1845,$fot(X_1875))]]) ).
cnf(refute_0_120,plain,
is_a_theorem(implies(implies(implies(X_1874,X_1873),X_1873),implies(X_1873,implies(X_1875,X_1873)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1846,implies(X_1848,X_1846)),X_1849),implies(X_1850,implies(implies(implies(X_1847,X_1846),X_1846),X_1849))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) )],[refute_0_115,refute_0_119]) ).
cnf(refute_0_121,plain,
is_a_theorem(implies(implies(implies(X_1877,X_1876),X_1876),implies(X_1876,implies(X_1878,X_1876)))),
inference(subst,[],[refute_0_120:[bind(X_1873,$fot(X_1876)),bind(X_1874,$fot(X_1877)),bind(X_1875,$fot(X_1878))]]) ).
cnf(refute_0_122,plain,
is_a_theorem(implies(implies(implies(X_1878,X_1876),implies(X_1877,X_1876)),implies(X_6,implies(X_1876,implies(X_1877,X_1876))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1877,X_1876),X_1876),implies(X_1876,implies(X_1878,X_1876)))) )],[refute_0_121,refute_0_92]) ).
cnf(refute_0_123,plain,
is_a_theorem(implies(implies(implies(X_2769,X_2771),implies(X_2769,X_2771)),implies(X_2770,implies(X_2771,implies(X_2769,X_2771))))),
inference(subst,[],[refute_0_122:[bind(X_1876,$fot(X_2771)),bind(X_1877,$fot(X_2769)),bind(X_1878,$fot(X_2769)),bind(X_6,$fot(X_2770))]]) ).
cnf(refute_0_124,plain,
( ~ is_a_theorem(implies(implies(implies(X_2769,X_2771),implies(X_2769,X_2771)),implies(X_2770,implies(X_2771,implies(X_2769,X_2771)))))
| is_a_theorem(implies(X_2774,implies(X_2773,implies(X_2770,implies(X_2771,implies(X_2769,X_2771)))))) ),
inference(subst,[],[refute_0_84:[bind(X_481,$fot(X_2771)),bind(X_482,$fot(X_2769)),bind(X_483,$fot(X_2770)),bind(X_484,$fot(X_2771)),bind(X_485,$fot(implies(X_2769,X_2771))),bind(X_486,$fot(X_2773)),bind(X_487,$fot(X_2774))]]) ).
cnf(refute_0_125,plain,
is_a_theorem(implies(X_2774,implies(X_2773,implies(X_2770,implies(X_2771,implies(X_2769,X_2771)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2769,X_2771),implies(X_2769,X_2771)),implies(X_2770,implies(X_2771,implies(X_2769,X_2771))))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
is_a_theorem(implies(X_2794,implies(X_2793,implies(X_2791,implies(X_2792,implies(X_2790,X_2792)))))),
inference(subst,[],[refute_0_125:[bind(X_2769,$fot(X_2790)),bind(X_2770,$fot(X_2791)),bind(X_2771,$fot(X_2792)),bind(X_2773,$fot(X_2793)),bind(X_2774,$fot(X_2794))]]) ).
cnf(refute_0_127,plain,
( ~ is_a_theorem(X_2794)
| is_a_theorem(implies(X_2793,implies(X_2791,implies(X_2792,implies(X_2790,X_2792))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2794,implies(X_2793,implies(X_2791,implies(X_2792,implies(X_2790,X_2792)))))) )],[refute_0_126,refute_0_91]) ).
cnf(refute_0_128,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2))))
| is_a_theorem(implies(X_2952,implies(X_2950,implies(X_2951,implies(X_2949,X_2951))))) ),
inference(subst,[],[refute_0_127:[bind(X_2790,$fot(X_2949)),bind(X_2791,$fot(X_2950)),bind(X_2792,$fot(X_2951)),bind(X_2793,$fot(X_2952)),bind(X_2794,$fot(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2)))))]]) ).
cnf(refute_0_129,plain,
is_a_theorem(implies(X_2952,implies(X_2950,implies(X_2951,implies(X_2949,X_2951))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2)))) )],[refute_0_88,refute_0_128]) ).
cnf(refute_0_130,plain,
is_a_theorem(implies(X_2957,implies(X_2955,implies(X_2956,implies(X_2954,X_2956))))),
inference(subst,[],[refute_0_129:[bind(X_2949,$fot(X_2954)),bind(X_2950,$fot(X_2955)),bind(X_2951,$fot(X_2956)),bind(X_2952,$fot(X_2957))]]) ).
cnf(refute_0_131,plain,
( ~ is_a_theorem(X_2957)
| is_a_theorem(implies(X_2955,implies(X_2956,implies(X_2954,X_2956)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2957,implies(X_2955,implies(X_2956,implies(X_2954,X_2956))))) )],[refute_0_130,refute_0_90]) ).
cnf(refute_0_132,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2))))
| is_a_theorem(implies(X_2959,implies(X_2960,implies(X_2958,X_2960)))) ),
inference(subst,[],[refute_0_131:[bind(X_2954,$fot(X_2958)),bind(X_2955,$fot(X_2959)),bind(X_2956,$fot(X_2960)),bind(X_2957,$fot(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2)))))]]) ).
cnf(refute_0_133,plain,
is_a_theorem(implies(X_2959,implies(X_2960,implies(X_2958,X_2960)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2)))) )],[refute_0_88,refute_0_132]) ).
cnf(refute_0_134,plain,
is_a_theorem(implies(X_2963,implies(X_2964,implies(X_2962,X_2964)))),
inference(subst,[],[refute_0_133:[bind(X_2958,$fot(X_2962)),bind(X_2959,$fot(X_2963)),bind(X_2960,$fot(X_2964))]]) ).
cnf(refute_0_135,plain,
( ~ is_a_theorem(X_2963)
| is_a_theorem(implies(X_2964,implies(X_2962,X_2964))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2963,implies(X_2964,implies(X_2962,X_2964)))) )],[refute_0_134,refute_0_89]) ).
cnf(refute_0_136,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2))))
| is_a_theorem(implies(X_2967,implies(X_2965,X_2967))) ),
inference(subst,[],[refute_0_135:[bind(X_2962,$fot(X_2965)),bind(X_2963,$fot(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2))))),bind(X_2964,$fot(X_2967))]]) ).
cnf(refute_0_137,plain,
is_a_theorem(implies(X_2967,implies(X_2965,X_2967))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))),X_2),implies(X_6,implies(X_2940,X_2)))) )],[refute_0_88,refute_0_136]) ).
cnf(refute_0_138,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_2968,implies(X_2,X_3)))),
inference(subst,[],[refute_0_137:[bind(X_2965,$fot(X_2968)),bind(X_2967,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_139,plain,
is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(X_6,implies(X_2968,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_2968,implies(X_2,X_3)))) )],[refute_0_138,refute_0_5]) ).
cnf(refute_0_140,plain,
is_a_theorem(implies(implies(implies(X_2986,X_2988),X_2986),implies(X_2989,implies(X_2987,X_2986)))),
inference(subst,[],[refute_0_139:[bind(X_2,$fot(X_2986)),bind(X_2968,$fot(X_2987)),bind(X_3,$fot(X_2988)),bind(X_6,$fot(X_2989))]]) ).
cnf(refute_0_141,plain,
( ~ is_a_theorem(implies(implies(X_2986,X_2988),X_2986))
| is_a_theorem(implies(X_2989,implies(X_2987,X_2986))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2986,X_2988),X_2986),implies(X_2989,implies(X_2987,X_2986)))) )],[refute_0_140,refute_0_4]) ).
cnf(refute_0_142,plain,
( ~ is_a_theorem(implies(implies(implies(X_19046,implies(implies(X_19046,X_19045),X_19045)),X_19045),implies(X_19046,implies(implies(X_19046,X_19045),X_19045))))
| is_a_theorem(implies(X_2989,implies(X_2987,implies(X_19046,implies(implies(X_19046,X_19045),X_19045))))) ),
inference(subst,[],[refute_0_141:[bind(X_2986,$fot(implies(X_19046,implies(implies(X_19046,X_19045),X_19045)))),bind(X_2988,$fot(X_19045))]]) ).
cnf(refute_0_143,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_19040,X_19038),implies(X_19040,implies(X_19039,X_19038)))))
| is_a_theorem(implies(implies(implies(X_19040,implies(X_19039,X_19038)),X_2),implies(X_6,implies(implies(X_19040,X_19038),X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(implies(X_19040,X_19038))),bind(X_5,$fot(implies(X_19040,implies(X_19039,X_19038))))]]) ).
cnf(refute_0_144,plain,
( ~ is_a_theorem(implies(implies(implies(X_7927,X_7926),X_7929),X_7926))
| ~ is_a_theorem(implies(implies(implies(implies(X_7927,X_7926),X_7929),X_7926),implies(X_7928,implies(X_7927,X_7926))))
| is_a_theorem(implies(X_7928,implies(X_7927,X_7926))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_7927,X_7926),X_7929),X_7926))),bind(Y,$fot(implies(X_7928,implies(X_7927,X_7926))))]]) ).
cnf(refute_0_145,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_6870,implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_6870)),bind(X_5,$fot(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873))))))]]) ).
cnf(refute_0_146,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543)))),implies(X_6542,implies(X_6544,X_6543))),implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543))))))
| is_a_theorem(implies(X_2989,implies(X_2987,implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543))))))) ),
inference(subst,[],[refute_0_141:[bind(X_2986,$fot(implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543)))))),bind(X_2988,$fot(implies(X_6542,implies(X_6544,X_6543))))]]) ).
cnf(refute_0_147,plain,
( ~ is_a_theorem(implies(implies(implies(X_1484,implies(X_1486,X_1485)),X_1487),implies(X_1489,implies(implies(implies(X_1487,X_1488),X_1485),X_1487))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1487,X_1488),X_1485),X_1487),implies(X_1484,implies(X_1486,X_1485))),implies(X_6,implies(X_1489,implies(X_1484,implies(X_1486,X_1485)))))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(implies(X_1484,implies(X_1486,X_1485)))),bind(X_3,$fot(X_1487)),bind(X_4,$fot(X_1489)),bind(X_5,$fot(implies(implies(implies(X_1487,X_1488),X_1485),X_1487)))]]) ).
cnf(refute_0_148,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_1350),implies(X_1349,implies(X_1352,X_1350)))))
| is_a_theorem(implies(implies(implies(X_1349,implies(X_1352,X_1350)),X_2),implies(X_6,implies(implies(implies(X_2,X_3),X_1350),X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(implies(implies(X_2,X_3),X_1350))),bind(X_5,$fot(implies(X_1349,implies(X_1352,X_1350))))]]) ).
cnf(refute_0_149,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_1350),implies(X_1349,implies(X_1352,X_1350))))),
inference(subst,[],[refute_0_75:[bind(X_1344,$fot(X_1349)),bind(X_1346,$fot(X_1350)),bind(X_1347,$fot(implies(X_2,X_3))),bind(X_1348,$fot(X_1352))]]) ).
cnf(refute_0_150,plain,
is_a_theorem(implies(implies(implies(X_1349,implies(X_1352,X_1350)),X_2),implies(X_6,implies(implies(implies(X_2,X_3),X_1350),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_1350),implies(X_1349,implies(X_1352,X_1350))))) )],[refute_0_149,refute_0_148]) ).
cnf(refute_0_151,plain,
is_a_theorem(implies(implies(implies(X_1484,implies(X_1486,X_1485)),X_1487),implies(X_1489,implies(implies(implies(X_1487,X_1488),X_1485),X_1487)))),
inference(subst,[],[refute_0_150:[bind(X_1349,$fot(X_1484)),bind(X_1350,$fot(X_1485)),bind(X_1352,$fot(X_1486)),bind(X_2,$fot(X_1487)),bind(X_3,$fot(X_1488)),bind(X_6,$fot(X_1489))]]) ).
cnf(refute_0_152,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1487,X_1488),X_1485),X_1487),implies(X_1484,implies(X_1486,X_1485))),implies(X_6,implies(X_1489,implies(X_1484,implies(X_1486,X_1485)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1484,implies(X_1486,X_1485)),X_1487),implies(X_1489,implies(implies(implies(X_1487,X_1488),X_1485),X_1487)))) )],[refute_0_151,refute_0_147]) ).
cnf(refute_0_153,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543)))),implies(X_6542,implies(X_6544,X_6543))),implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543)))))),
inference(subst,[],[refute_0_152:[bind(X_1484,$fot(X_6542)),bind(X_1485,$fot(X_6543)),bind(X_1486,$fot(X_6544)),bind(X_1487,$fot(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))))),bind(X_1488,$fot(X_6546)),bind(X_1489,$fot(X_6547)),bind(X_6,$fot(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543)))]]) ).
cnf(refute_0_154,plain,
is_a_theorem(implies(X_2989,implies(X_2987,implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543)))),implies(X_6542,implies(X_6544,X_6543))),implies(implies(implies(implies(X_6547,implies(X_6542,implies(X_6544,X_6543))),X_6546),X_6543),implies(X_6547,implies(X_6542,implies(X_6544,X_6543)))))) )],[refute_0_153,refute_0_146]) ).
cnf(refute_0_155,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_6870,implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873))))))),
inference(subst,[],[refute_0_154:[bind(X_2987,$fot(X_6870)),bind(X_2989,$fot(implies(X_2,X_3))),bind(X_6542,$fot(X_6872)),bind(X_6543,$fot(X_6873)),bind(X_6544,$fot(X_6874)),bind(X_6546,$fot(X_6875)),bind(X_6547,$fot(X_6876))]]) ).
cnf(refute_0_156,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_6870,implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873))))))) )],[refute_0_155,refute_0_145]) ).
cnf(refute_0_157,plain,
( ~ is_a_theorem(X_7914)
| ~ is_a_theorem(implies(X_7914,implies(implies(implies(implies(X_7911,X_7910),X_7913),X_7910),implies(X_7912,implies(X_7911,X_7910)))))
| is_a_theorem(implies(implies(implies(implies(X_7911,X_7910),X_7913),X_7910),implies(X_7912,implies(X_7911,X_7910)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_7914)),bind(Y,$fot(implies(implies(implies(implies(X_7911,X_7910),X_7913),X_7910),implies(X_7912,implies(X_7911,X_7910)))))]]) ).
cnf(refute_0_158,plain,
( ~ is_a_theorem(X_2941)
| ~ is_a_theorem(implies(X_2941,implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))))))
| is_a_theorem(implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2941)),bind(Y,$fot(implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))))))]]) ).
cnf(refute_0_159,plain,
is_a_theorem(implies(X_2941,implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936)))))),
inference(subst,[],[refute_0_86:[bind(X_2768,$fot(X_2936)),bind(X_2769,$fot(X_2937)),bind(X_2771,$fot(X_2938)),bind(X_2772,$fot(X_2939)),bind(X_2773,$fot(X_2940)),bind(X_2774,$fot(X_2941))]]) ).
cnf(refute_0_160,plain,
( ~ is_a_theorem(X_2941)
| is_a_theorem(implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936))))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_2941,implies(X_2940,implies(implies(implies(implies(X_2937,X_2936),X_2939),X_2936),implies(X_2938,implies(X_2937,X_2936)))))) )],[refute_0_159,refute_0_158]) ).
cnf(refute_0_161,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2))))
| is_a_theorem(implies(X_7908,implies(implies(implies(implies(X_7905,X_7904),X_7907),X_7904),implies(X_7906,implies(X_7905,X_7904))))) ),
inference(subst,[],[refute_0_160:[bind(X_2936,$fot(X_7904)),bind(X_2937,$fot(X_7905)),bind(X_2938,$fot(X_7906)),bind(X_2939,$fot(X_7907)),bind(X_2940,$fot(X_7908)),bind(X_2941,$fot(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))))]]) ).
cnf(refute_0_162,plain,
is_a_theorem(implies(X_7908,implies(implies(implies(implies(X_7905,X_7904),X_7907),X_7904),implies(X_7906,implies(X_7905,X_7904))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))) )],[refute_0_156,refute_0_161]) ).
cnf(refute_0_163,plain,
is_a_theorem(implies(X_7914,implies(implies(implies(implies(X_7911,X_7910),X_7913),X_7910),implies(X_7912,implies(X_7911,X_7910))))),
inference(subst,[],[refute_0_162:[bind(X_7904,$fot(X_7910)),bind(X_7905,$fot(X_7911)),bind(X_7906,$fot(X_7912)),bind(X_7907,$fot(X_7913)),bind(X_7908,$fot(X_7914))]]) ).
cnf(refute_0_164,plain,
( ~ is_a_theorem(X_7914)
| is_a_theorem(implies(implies(implies(implies(X_7911,X_7910),X_7913),X_7910),implies(X_7912,implies(X_7911,X_7910)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_7914,implies(implies(implies(implies(X_7911,X_7910),X_7913),X_7910),implies(X_7912,implies(X_7911,X_7910))))) )],[refute_0_163,refute_0_157]) ).
cnf(refute_0_165,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2))))
| is_a_theorem(implies(implies(implies(implies(X_7922,X_7921),X_7924),X_7921),implies(X_7923,implies(X_7922,X_7921)))) ),
inference(subst,[],[refute_0_164:[bind(X_7910,$fot(X_7921)),bind(X_7911,$fot(X_7922)),bind(X_7912,$fot(X_7923)),bind(X_7913,$fot(X_7924)),bind(X_7914,$fot(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))))]]) ).
cnf(refute_0_166,plain,
is_a_theorem(implies(implies(implies(implies(X_7922,X_7921),X_7924),X_7921),implies(X_7923,implies(X_7922,X_7921)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))) )],[refute_0_156,refute_0_165]) ).
cnf(refute_0_167,plain,
is_a_theorem(implies(implies(implies(implies(X_7927,X_7926),X_7929),X_7926),implies(X_7928,implies(X_7927,X_7926)))),
inference(subst,[],[refute_0_166:[bind(X_7921,$fot(X_7926)),bind(X_7922,$fot(X_7927)),bind(X_7923,$fot(X_7928)),bind(X_7924,$fot(X_7929))]]) ).
cnf(refute_0_168,plain,
( ~ is_a_theorem(implies(implies(implies(X_7927,X_7926),X_7929),X_7926))
| is_a_theorem(implies(X_7928,implies(X_7927,X_7926))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_7927,X_7926),X_7929),X_7926),implies(X_7928,implies(X_7927,X_7926)))) )],[refute_0_167,refute_0_144]) ).
cnf(refute_0_169,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_19037,X_19032),implies(X_19037,implies(X_19036,X_19032))),X_19032),implies(X_19037,implies(X_19036,X_19032))))
| is_a_theorem(implies(X_7928,implies(implies(X_19037,X_19032),implies(X_19037,implies(X_19036,X_19032))))) ),
inference(subst,[],[refute_0_168:[bind(X_7926,$fot(implies(X_19037,implies(X_19036,X_19032)))),bind(X_7927,$fot(implies(X_19037,X_19032))),bind(X_7929,$fot(X_19032))]]) ).
cnf(refute_0_170,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_5450,implies(implies(X_5447,X_5448),implies(X_5447,implies(X_5449,X_5448))))))
| is_a_theorem(implies(implies(implies(implies(X_5447,X_5448),implies(X_5447,implies(X_5449,X_5448))),X_2),implies(X_6,implies(X_5450,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_5450)),bind(X_5,$fot(implies(implies(X_5447,X_5448),implies(X_5447,implies(X_5449,X_5448)))))]]) ).
cnf(refute_0_171,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216))))))
| is_a_theorem(implies(implies(implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216))),X_2),implies(X_6,implies(X_217,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_217)),bind(X_5,$fot(implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216)))))]]) ).
cnf(refute_0_172,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216)))))),
inference(subst,[],[refute_0_71:[bind(T,$fot(X_214)),bind(X_198,$fot(implies(X_2,X_3))),bind(X_199,$fot(X_216)),bind(X_200,$fot(X_217)),bind(X_201,$fot(X_218))]]) ).
cnf(refute_0_173,plain,
is_a_theorem(implies(implies(implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216))),X_2),implies(X_6,implies(X_217,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_217,implies(implies(X_217,X_216),implies(X_214,implies(X_218,X_216)))))) )],[refute_0_172,refute_0_171]) ).
cnf(refute_0_174,plain,
is_a_theorem(implies(implies(implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216))),implies(X_218,X_216)),implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216))))),
inference(subst,[],[refute_0_173:[bind(X_2,$fot(implies(X_218,X_216))),bind(X_217,$fot(X_214)),bind(X_6,$fot(implies(X_214,X_216)))]]) ).
cnf(refute_0_175,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216))),implies(X_218,X_216)),implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216)))))
| is_a_theorem(implies(X_5437,implies(X_5435,implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216)))))) ),
inference(subst,[],[refute_0_141:[bind(X_2986,$fot(implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216))))),bind(X_2987,$fot(X_5435)),bind(X_2988,$fot(implies(X_218,X_216))),bind(X_2989,$fot(X_5437))]]) ).
cnf(refute_0_176,plain,
is_a_theorem(implies(X_5437,implies(X_5435,implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216))),implies(X_218,X_216)),implies(implies(X_214,X_216),implies(X_214,implies(X_218,X_216))))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_5450,implies(implies(X_5447,X_5448),implies(X_5447,implies(X_5449,X_5448)))))),
inference(subst,[],[refute_0_176:[bind(X_214,$fot(X_5447)),bind(X_216,$fot(X_5448)),bind(X_218,$fot(X_5449)),bind(X_5435,$fot(X_5450)),bind(X_5437,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_178,plain,
is_a_theorem(implies(implies(implies(implies(X_5447,X_5448),implies(X_5447,implies(X_5449,X_5448))),X_2),implies(X_6,implies(X_5450,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_5450,implies(implies(X_5447,X_5448),implies(X_5447,implies(X_5449,X_5448)))))) )],[refute_0_177,refute_0_170]) ).
cnf(refute_0_179,plain,
is_a_theorem(implies(implies(implies(implies(X_19037,X_19032),implies(X_19037,implies(X_19036,X_19032))),X_19032),implies(X_19037,implies(X_19036,X_19032)))),
inference(subst,[],[refute_0_178:[bind(X_2,$fot(X_19032)),bind(X_5447,$fot(X_19037)),bind(X_5448,$fot(X_19032)),bind(X_5449,$fot(X_19036)),bind(X_5450,$fot(X_19036)),bind(X_6,$fot(X_19037))]]) ).
cnf(refute_0_180,plain,
is_a_theorem(implies(X_7928,implies(implies(X_19037,X_19032),implies(X_19037,implies(X_19036,X_19032))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_19037,X_19032),implies(X_19037,implies(X_19036,X_19032))),X_19032),implies(X_19037,implies(X_19036,X_19032)))) )],[refute_0_179,refute_0_169]) ).
cnf(refute_0_181,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_19040,X_19038),implies(X_19040,implies(X_19039,X_19038))))),
inference(subst,[],[refute_0_180:[bind(X_19032,$fot(X_19038)),bind(X_19036,$fot(X_19039)),bind(X_19037,$fot(X_19040)),bind(X_7928,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_182,plain,
is_a_theorem(implies(implies(implies(X_19040,implies(X_19039,X_19038)),X_2),implies(X_6,implies(implies(X_19040,X_19038),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_19040,X_19038),implies(X_19040,implies(X_19039,X_19038))))) )],[refute_0_181,refute_0_143]) ).
cnf(refute_0_183,plain,
is_a_theorem(implies(implies(implies(X_19046,implies(implies(X_19046,X_19045),X_19045)),X_19045),implies(X_19046,implies(implies(X_19046,X_19045),X_19045)))),
inference(subst,[],[refute_0_182:[bind(X_19038,$fot(X_19045)),bind(X_19039,$fot(implies(X_19046,X_19045))),bind(X_19040,$fot(X_19046)),bind(X_2,$fot(X_19045)),bind(X_6,$fot(X_19046))]]) ).
cnf(refute_0_184,plain,
is_a_theorem(implies(X_2989,implies(X_2987,implies(X_19046,implies(implies(X_19046,X_19045),X_19045))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_19046,implies(implies(X_19046,X_19045),X_19045)),X_19045),implies(X_19046,implies(implies(X_19046,X_19045),X_19045)))) )],[refute_0_183,refute_0_142]) ).
cnf(refute_0_185,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_19049,implies(X_19048,implies(implies(X_19048,X_19047),X_19047))))),
inference(subst,[],[refute_0_184:[bind(X_19045,$fot(X_19047)),bind(X_19046,$fot(X_19048)),bind(X_2987,$fot(X_19049)),bind(X_2989,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_186,plain,
is_a_theorem(implies(implies(implies(X_19048,implies(implies(X_19048,X_19047),X_19047)),X_2),implies(X_6,implies(X_19049,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_19049,implies(X_19048,implies(implies(X_19048,X_19047),X_19047))))) )],[refute_0_185,refute_0_3]) ).
cnf(refute_0_187,plain,
is_a_theorem(implies(implies(implies(X_19048,implies(implies(X_19048,X_19047),X_19047)),X_19047),implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))),
inference(subst,[],[refute_0_186:[bind(X_19049,$fot(implies(X_19048,X_19047))),bind(X_2,$fot(X_19047)),bind(X_6,$fot(X_19048))]]) ).
cnf(refute_0_188,plain,
( ~ is_a_theorem(implies(implies(X_22230,X_22232),X_22230))
| ~ is_a_theorem(implies(implies(implies(X_22230,X_22232),X_22230),implies(X_22231,X_22230)))
| is_a_theorem(implies(X_22231,X_22230)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_22230,X_22232),X_22230))),bind(Y,$fot(implies(X_22231,X_22230)))]]) ).
cnf(refute_0_189,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) ),
inference(subst,[],[refute_0_95:[bind(X_1351,$fot(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055)))))]]) ).
cnf(refute_0_190,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) ),
inference(subst,[],[refute_0_95:[bind(X_1351,$fot(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733)))))]]) ).
cnf(refute_0_191,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697))))))
| is_a_theorem(implies(implies(implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697))),X_2),implies(X_6,implies(X_1695,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_1695)),bind(X_5,$fot(implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697)))))]]) ).
cnf(refute_0_192,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697)))))),
inference(subst,[],[refute_0_107:[bind(X_1688,$fot(X_1695)),bind(X_1689,$fot(implies(X_2,X_3))),bind(X_1690,$fot(X_1697)),bind(X_1692,$fot(X_1698)),bind(X_1694,$fot(X_1699))]]) ).
cnf(refute_0_193,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697))),X_2),implies(X_6,implies(X_1695,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_1695,implies(implies(implies(X_1698,X_1697),X_1697),implies(X_1697,implies(X_1699,X_1697)))))) )],[refute_0_192,refute_0_191]) ).
cnf(refute_0_194,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733)))),
inference(subst,[],[refute_0_193:[bind(X_1695,$fot(X_1729)),bind(X_1697,$fot(X_1730)),bind(X_1698,$fot(X_1731)),bind(X_1699,$fot(X_1732)),bind(X_2,$fot(X_1733)),bind(X_6,$fot(X_1734))]]) ).
cnf(refute_0_195,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733))),X_1350),implies(X_1349,implies(X_1352,X_1350)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733)))) )],[refute_0_194,refute_0_190]) ).
cnf(refute_0_196,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055)))),
inference(subst,[],[refute_0_195:[bind(X_1349,$fot(X_9054)),bind(X_1350,$fot(X_9055)),bind(X_1352,$fot(X_9056)),bind(X_1729,$fot(X_9057)),bind(X_1730,$fot(X_9058)),bind(X_1731,$fot(X_9059)),bind(X_1732,$fot(X_9060)),bind(X_1733,$fot(X_9061)),bind(X_1734,$fot(X_9062))]]) ).
cnf(refute_0_197,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))),X_1350),implies(X_1349,implies(X_1352,X_1350)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055)))) )],[refute_0_196,refute_0_189]) ).
cnf(refute_0_198,plain,
( ~ is_a_theorem(X_22208)
| ~ is_a_theorem(implies(X_22208,implies(implies(implies(X_22207,X_22210),X_22207),implies(X_22209,X_22207))))
| is_a_theorem(implies(implies(implies(X_22207,X_22210),X_22207),implies(X_22209,X_22207))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_22208)),bind(Y,$fot(implies(implies(implies(X_22207,X_22210),X_22207),implies(X_22209,X_22207))))]]) ).
cnf(refute_0_199,plain,
is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(implies(implies(X_2,X_3),X_2),implies(X_2968,X_2)))),
inference(subst,[],[refute_0_139:[bind(X_6,$fot(implies(implies(X_2,X_3),X_2)))]]) ).
cnf(refute_0_200,plain,
( ~ is_a_theorem(implies(X_11502,implies(X_11502,X_11503)))
| ~ is_a_theorem(implies(implies(X_11502,implies(X_11502,X_11503)),implies(X_11504,implies(X_11502,X_11503))))
| is_a_theorem(implies(X_11504,implies(X_11502,X_11503))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_11502,implies(X_11502,X_11503)))),bind(Y,$fot(implies(X_11504,implies(X_11502,X_11503))))]]) ).
cnf(refute_0_201,plain,
( ~ is_a_theorem(X_11484)
| ~ is_a_theorem(implies(X_11484,implies(implies(X_11481,implies(X_11481,X_11482)),implies(X_11483,implies(X_11481,X_11482)))))
| is_a_theorem(implies(implies(X_11481,implies(X_11481,X_11482)),implies(X_11483,implies(X_11481,X_11482)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_11484)),bind(Y,$fot(implies(implies(X_11481,implies(X_11481,X_11482)),implies(X_11483,implies(X_11481,X_11482)))))]]) ).
cnf(refute_0_202,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_11477,implies(X_11477,X_11479)),implies(X_11480,implies(X_11477,X_11479))),X_11479),implies(X_11480,implies(X_11477,X_11479))))
| is_a_theorem(implies(X_7928,implies(implies(X_11477,implies(X_11477,X_11479)),implies(X_11480,implies(X_11477,X_11479))))) ),
inference(subst,[],[refute_0_168:[bind(X_7926,$fot(implies(X_11480,implies(X_11477,X_11479)))),bind(X_7927,$fot(implies(X_11477,implies(X_11477,X_11479)))),bind(X_7929,$fot(X_11479))]]) ).
cnf(refute_0_203,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_11473,implies(implies(X_11473,X_11474),implies(X_11472,X_11474)))))
| is_a_theorem(implies(implies(implies(implies(X_11473,X_11474),implies(X_11472,X_11474)),X_2),implies(X_6,implies(X_11473,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_11473)),bind(X_5,$fot(implies(implies(X_11473,X_11474),implies(X_11472,X_11474))))]]) ).
cnf(refute_0_204,plain,
( ~ is_a_theorem(implies(implies(implies(X_11469,implies(implies(X_11469,X_11470),implies(X_11466,X_11470))),X_11470),implies(implies(X_11469,X_11470),implies(X_11466,X_11470))))
| is_a_theorem(implies(X_7928,implies(X_11469,implies(implies(X_11469,X_11470),implies(X_11466,X_11470))))) ),
inference(subst,[],[refute_0_168:[bind(X_7926,$fot(implies(implies(X_11469,X_11470),implies(X_11466,X_11470)))),bind(X_7927,$fot(X_11469)),bind(X_7929,$fot(X_11470))]]) ).
cnf(refute_0_205,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_11445,implies(X_11448,implies(implies(X_11448,X_11447),implies(X_11446,X_11447))))))
| is_a_theorem(implies(implies(implies(X_11448,implies(implies(X_11448,X_11447),implies(X_11446,X_11447))),X_2),implies(X_6,implies(X_11445,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_11445)),bind(X_5,$fot(implies(X_11448,implies(implies(X_11448,X_11447),implies(X_11446,X_11447)))))]]) ).
cnf(refute_0_206,plain,
( ~ is_a_theorem(implies(implies(implies(X_11438,implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440)))),implies(X_11439,X_11440)),implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440)))))
| is_a_theorem(implies(X_7928,implies(X_11438,implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440)))))) ),
inference(subst,[],[refute_0_168:[bind(X_7926,$fot(implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440))))),bind(X_7927,$fot(X_11438)),bind(X_7929,$fot(implies(X_11439,X_11440)))]]) ).
cnf(refute_0_207,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_11436,implies(X_11432,implies(X_11435,implies(implies(X_11435,X_11434),implies(X_11433,X_11434)))))))
| is_a_theorem(implies(implies(implies(X_11432,implies(X_11435,implies(implies(X_11435,X_11434),implies(X_11433,X_11434)))),X_2),implies(X_6,implies(X_11436,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_11436)),bind(X_5,$fot(implies(X_11432,implies(X_11435,implies(implies(X_11435,X_11434),implies(X_11433,X_11434))))))]]) ).
cnf(refute_0_208,plain,
( ~ is_a_theorem(implies(implies(implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429)))),implies(implies(X_11430,X_11429),implies(X_11427,X_11429))),implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429))))))
| is_a_theorem(implies(X_2989,implies(X_2987,implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429))))))) ),
inference(subst,[],[refute_0_141:[bind(X_2986,$fot(implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429)))))),bind(X_2988,$fot(implies(implies(X_11430,X_11429),implies(X_11427,X_11429))))]]) ).
cnf(refute_0_209,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_7939,implies(X_7937,implies(X_7940,implies(implies(X_7939,X_7938),implies(X_7935,X_7938)))))))
| is_a_theorem(implies(implies(implies(X_7937,implies(X_7940,implies(implies(X_7939,X_7938),implies(X_7935,X_7938)))),X_2),implies(X_6,implies(X_7939,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_7939)),bind(X_5,$fot(implies(X_7937,implies(X_7940,implies(implies(X_7939,X_7938),implies(X_7935,X_7938))))))]]) ).
cnf(refute_0_210,plain,
( ~ is_a_theorem(implies(implies(implies(X_233,X_232),implies(X_231,implies(X_234,X_232))),X_230))
| ~ is_a_theorem(implies(implies(implies(implies(X_233,X_232),implies(X_231,implies(X_234,X_232))),X_230),implies(X_235,implies(X_233,X_230))))
| is_a_theorem(implies(X_235,implies(X_233,X_230))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_233,X_232),implies(X_231,implies(X_234,X_232))),X_230))),bind(Y,$fot(implies(X_235,implies(X_233,X_230))))]]) ).
cnf(refute_0_211,plain,
is_a_theorem(implies(implies(implies(implies(X_233,X_232),implies(X_231,implies(X_234,X_232))),X_230),implies(X_235,implies(X_233,X_230)))),
inference(subst,[],[refute_0_173:[bind(X_2,$fot(X_230)),bind(X_214,$fot(X_231)),bind(X_216,$fot(X_232)),bind(X_217,$fot(X_233)),bind(X_218,$fot(X_234)),bind(X_6,$fot(X_235))]]) ).
cnf(refute_0_212,plain,
( ~ is_a_theorem(implies(implies(implies(X_233,X_232),implies(X_231,implies(X_234,X_232))),X_230))
| is_a_theorem(implies(X_235,implies(X_233,X_230))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_233,X_232),implies(X_231,implies(X_234,X_232))),X_230),implies(X_235,implies(X_233,X_230)))) )],[refute_0_211,refute_0_210]) ).
cnf(refute_0_213,plain,
( ~ is_a_theorem(implies(implies(implies(X_7932,X_7931),implies(implies(X_7932,X_7931),implies(X_234,X_7931))),implies(X_7930,implies(X_7933,implies(implies(X_7932,X_7931),implies(X_234,X_7931))))))
| is_a_theorem(implies(X_235,implies(X_7932,implies(X_7930,implies(X_7933,implies(implies(X_7932,X_7931),implies(X_234,X_7931))))))) ),
inference(subst,[],[refute_0_212:[bind(X_230,$fot(implies(X_7930,implies(X_7933,implies(implies(X_7932,X_7931),implies(X_234,X_7931)))))),bind(X_231,$fot(implies(X_7932,X_7931))),bind(X_232,$fot(X_7931)),bind(X_233,$fot(X_7932))]]) ).
cnf(refute_0_214,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_7927,X_7926),X_7929),X_7926),implies(X_7928,implies(X_7927,X_7926))))
| is_a_theorem(implies(implies(implies(X_7927,X_7926),implies(implies(X_7927,X_7926),X_7929)),implies(X_6,implies(X_7928,implies(implies(X_7927,X_7926),X_7929))))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(implies(implies(X_7927,X_7926),X_7929))),bind(X_3,$fot(X_7926)),bind(X_4,$fot(X_7928)),bind(X_5,$fot(implies(X_7927,X_7926)))]]) ).
cnf(refute_0_215,plain,
is_a_theorem(implies(implies(implies(X_7927,X_7926),implies(implies(X_7927,X_7926),X_7929)),implies(X_6,implies(X_7928,implies(implies(X_7927,X_7926),X_7929))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_7927,X_7926),X_7929),X_7926),implies(X_7928,implies(X_7927,X_7926)))) )],[refute_0_167,refute_0_214]) ).
cnf(refute_0_216,plain,
is_a_theorem(implies(implies(implies(X_7932,X_7931),implies(implies(X_7932,X_7931),implies(X_234,X_7931))),implies(X_7930,implies(X_7933,implies(implies(X_7932,X_7931),implies(X_234,X_7931)))))),
inference(subst,[],[refute_0_215:[bind(X_6,$fot(X_7930)),bind(X_7926,$fot(X_7931)),bind(X_7927,$fot(X_7932)),bind(X_7928,$fot(X_7933)),bind(X_7929,$fot(implies(X_234,X_7931)))]]) ).
cnf(refute_0_217,plain,
is_a_theorem(implies(X_235,implies(X_7932,implies(X_7930,implies(X_7933,implies(implies(X_7932,X_7931),implies(X_234,X_7931))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_7932,X_7931),implies(implies(X_7932,X_7931),implies(X_234,X_7931))),implies(X_7930,implies(X_7933,implies(implies(X_7932,X_7931),implies(X_234,X_7931)))))) )],[refute_0_216,refute_0_213]) ).
cnf(refute_0_218,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_7939,implies(X_7937,implies(X_7940,implies(implies(X_7939,X_7938),implies(X_7935,X_7938))))))),
inference(subst,[],[refute_0_217:[bind(X_234,$fot(X_7935)),bind(X_235,$fot(implies(X_2,X_3))),bind(X_7930,$fot(X_7937)),bind(X_7931,$fot(X_7938)),bind(X_7932,$fot(X_7939)),bind(X_7933,$fot(X_7940))]]) ).
cnf(refute_0_219,plain,
is_a_theorem(implies(implies(implies(X_7937,implies(X_7940,implies(implies(X_7939,X_7938),implies(X_7935,X_7938)))),X_2),implies(X_6,implies(X_7939,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_7939,implies(X_7937,implies(X_7940,implies(implies(X_7939,X_7938),implies(X_7935,X_7938))))))) )],[refute_0_218,refute_0_209]) ).
cnf(refute_0_220,plain,
is_a_theorem(implies(implies(implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429)))),implies(implies(X_11430,X_11429),implies(X_11427,X_11429))),implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429)))))),
inference(subst,[],[refute_0_219:[bind(X_2,$fot(implies(implies(X_11430,X_11429),implies(X_11427,X_11429)))),bind(X_6,$fot(X_11426)),bind(X_7935,$fot(X_11427)),bind(X_7937,$fot(X_11426)),bind(X_7938,$fot(X_11429)),bind(X_7939,$fot(X_11430)),bind(X_7940,$fot(X_11430))]]) ).
cnf(refute_0_221,plain,
is_a_theorem(implies(X_2989,implies(X_2987,implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429))))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429)))),implies(implies(X_11430,X_11429),implies(X_11427,X_11429))),implies(X_11426,implies(X_11430,implies(implies(X_11430,X_11429),implies(X_11427,X_11429)))))) )],[refute_0_220,refute_0_208]) ).
cnf(refute_0_222,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_11436,implies(X_11432,implies(X_11435,implies(implies(X_11435,X_11434),implies(X_11433,X_11434))))))),
inference(subst,[],[refute_0_221:[bind(X_11426,$fot(X_11432)),bind(X_11427,$fot(X_11433)),bind(X_11429,$fot(X_11434)),bind(X_11430,$fot(X_11435)),bind(X_2987,$fot(X_11436)),bind(X_2989,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_223,plain,
is_a_theorem(implies(implies(implies(X_11432,implies(X_11435,implies(implies(X_11435,X_11434),implies(X_11433,X_11434)))),X_2),implies(X_6,implies(X_11436,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_11436,implies(X_11432,implies(X_11435,implies(implies(X_11435,X_11434),implies(X_11433,X_11434))))))) )],[refute_0_222,refute_0_207]) ).
cnf(refute_0_224,plain,
is_a_theorem(implies(implies(implies(X_11438,implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440)))),implies(X_11439,X_11440)),implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440))))),
inference(subst,[],[refute_0_223:[bind(X_11432,$fot(X_11438)),bind(X_11433,$fot(X_11439)),bind(X_11434,$fot(X_11440)),bind(X_11435,$fot(X_11444)),bind(X_11436,$fot(implies(X_11444,X_11440))),bind(X_2,$fot(implies(X_11439,X_11440))),bind(X_6,$fot(X_11444))]]) ).
cnf(refute_0_225,plain,
is_a_theorem(implies(X_7928,implies(X_11438,implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_11438,implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440)))),implies(X_11439,X_11440)),implies(X_11444,implies(implies(X_11444,X_11440),implies(X_11439,X_11440))))) )],[refute_0_224,refute_0_206]) ).
cnf(refute_0_226,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_11445,implies(X_11448,implies(implies(X_11448,X_11447),implies(X_11446,X_11447)))))),
inference(subst,[],[refute_0_225:[bind(X_11438,$fot(X_11445)),bind(X_11439,$fot(X_11446)),bind(X_11440,$fot(X_11447)),bind(X_11444,$fot(X_11448)),bind(X_7928,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_227,plain,
is_a_theorem(implies(implies(implies(X_11448,implies(implies(X_11448,X_11447),implies(X_11446,X_11447))),X_2),implies(X_6,implies(X_11445,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_11445,implies(X_11448,implies(implies(X_11448,X_11447),implies(X_11446,X_11447)))))) )],[refute_0_226,refute_0_205]) ).
cnf(refute_0_228,plain,
is_a_theorem(implies(implies(implies(X_11469,implies(implies(X_11469,X_11470),implies(X_11466,X_11470))),X_11470),implies(implies(X_11469,X_11470),implies(X_11466,X_11470)))),
inference(subst,[],[refute_0_227:[bind(X_11445,$fot(X_11466)),bind(X_11446,$fot(X_11466)),bind(X_11447,$fot(X_11470)),bind(X_11448,$fot(X_11469)),bind(X_2,$fot(X_11470)),bind(X_6,$fot(implies(X_11469,X_11470)))]]) ).
cnf(refute_0_229,plain,
is_a_theorem(implies(X_7928,implies(X_11469,implies(implies(X_11469,X_11470),implies(X_11466,X_11470))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_11469,implies(implies(X_11469,X_11470),implies(X_11466,X_11470))),X_11470),implies(implies(X_11469,X_11470),implies(X_11466,X_11470)))) )],[refute_0_228,refute_0_204]) ).
cnf(refute_0_230,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_11473,implies(implies(X_11473,X_11474),implies(X_11472,X_11474))))),
inference(subst,[],[refute_0_229:[bind(X_11466,$fot(X_11472)),bind(X_11469,$fot(X_11473)),bind(X_11470,$fot(X_11474)),bind(X_7928,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_231,plain,
is_a_theorem(implies(implies(implies(implies(X_11473,X_11474),implies(X_11472,X_11474)),X_2),implies(X_6,implies(X_11473,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_11473,implies(implies(X_11473,X_11474),implies(X_11472,X_11474))))) )],[refute_0_230,refute_0_203]) ).
cnf(refute_0_232,plain,
is_a_theorem(implies(implies(implies(implies(X_11477,implies(X_11477,X_11479)),implies(X_11480,implies(X_11477,X_11479))),X_11479),implies(X_11480,implies(X_11477,X_11479)))),
inference(subst,[],[refute_0_231:[bind(X_11472,$fot(X_11480)),bind(X_11473,$fot(X_11477)),bind(X_11474,$fot(implies(X_11477,X_11479))),bind(X_2,$fot(X_11479)),bind(X_6,$fot(X_11480))]]) ).
cnf(refute_0_233,plain,
is_a_theorem(implies(X_7928,implies(implies(X_11477,implies(X_11477,X_11479)),implies(X_11480,implies(X_11477,X_11479))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_11477,implies(X_11477,X_11479)),implies(X_11480,implies(X_11477,X_11479))),X_11479),implies(X_11480,implies(X_11477,X_11479)))) )],[refute_0_232,refute_0_202]) ).
cnf(refute_0_234,plain,
is_a_theorem(implies(X_11484,implies(implies(X_11481,implies(X_11481,X_11482)),implies(X_11483,implies(X_11481,X_11482))))),
inference(subst,[],[refute_0_233:[bind(X_11477,$fot(X_11481)),bind(X_11479,$fot(X_11482)),bind(X_11480,$fot(X_11483)),bind(X_7928,$fot(X_11484))]]) ).
cnf(refute_0_235,plain,
( ~ is_a_theorem(X_11484)
| is_a_theorem(implies(implies(X_11481,implies(X_11481,X_11482)),implies(X_11483,implies(X_11481,X_11482)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_11484,implies(implies(X_11481,implies(X_11481,X_11482)),implies(X_11483,implies(X_11481,X_11482))))) )],[refute_0_234,refute_0_201]) ).
cnf(refute_0_236,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733))),X_1350),implies(X_1349,implies(X_1352,X_1350))))
| is_a_theorem(implies(implies(X_11498,implies(X_11498,X_11499)),implies(X_11500,implies(X_11498,X_11499)))) ),
inference(subst,[],[refute_0_235:[bind(X_11481,$fot(X_11498)),bind(X_11482,$fot(X_11499)),bind(X_11483,$fot(X_11500)),bind(X_11484,$fot(implies(implies(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733))),X_1350),implies(X_1349,implies(X_1352,X_1350)))))]]) ).
cnf(refute_0_237,plain,
is_a_theorem(implies(implies(X_11498,implies(X_11498,X_11499)),implies(X_11500,implies(X_11498,X_11499)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_1731,X_1730),X_1730),implies(X_1730,implies(X_1732,X_1730))),X_1733),implies(X_1734,implies(X_1729,X_1733))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) )],[refute_0_195,refute_0_236]) ).
cnf(refute_0_238,plain,
is_a_theorem(implies(implies(X_11502,implies(X_11502,X_11503)),implies(X_11504,implies(X_11502,X_11503)))),
inference(subst,[],[refute_0_237:[bind(X_11498,$fot(X_11502)),bind(X_11499,$fot(X_11503)),bind(X_11500,$fot(X_11504))]]) ).
cnf(refute_0_239,plain,
( ~ is_a_theorem(implies(X_11502,implies(X_11502,X_11503)))
| is_a_theorem(implies(X_11504,implies(X_11502,X_11503))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_11502,implies(X_11502,X_11503)),implies(X_11504,implies(X_11502,X_11503)))) )],[refute_0_238,refute_0_200]) ).
cnf(refute_0_240,plain,
( ~ is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(implies(implies(X_2,X_3),X_2),implies(X_2968,X_2))))
| is_a_theorem(implies(X_22180,implies(implies(implies(X_2,X_3),X_2),implies(X_2968,X_2)))) ),
inference(subst,[],[refute_0_239:[bind(X_11502,$fot(implies(implies(X_2,X_3),X_2))),bind(X_11503,$fot(implies(X_2968,X_2))),bind(X_11504,$fot(X_22180))]]) ).
cnf(refute_0_241,plain,
is_a_theorem(implies(X_22180,implies(implies(implies(X_2,X_3),X_2),implies(X_2968,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2,X_3),X_2),implies(implies(implies(X_2,X_3),X_2),implies(X_2968,X_2)))) )],[refute_0_199,refute_0_240]) ).
cnf(refute_0_242,plain,
is_a_theorem(implies(X_22208,implies(implies(implies(X_22207,X_22210),X_22207),implies(X_22209,X_22207)))),
inference(subst,[],[refute_0_241:[bind(X_2,$fot(X_22207)),bind(X_22180,$fot(X_22208)),bind(X_2968,$fot(X_22209)),bind(X_3,$fot(X_22210))]]) ).
cnf(refute_0_243,plain,
( ~ is_a_theorem(X_22208)
| is_a_theorem(implies(implies(implies(X_22207,X_22210),X_22207),implies(X_22209,X_22207))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_22208,implies(implies(implies(X_22207,X_22210),X_22207),implies(X_22209,X_22207)))) )],[refute_0_242,refute_0_198]) ).
cnf(refute_0_244,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))),X_1350),implies(X_1349,implies(X_1352,X_1350))))
| is_a_theorem(implies(implies(implies(X_22226,X_22229),X_22226),implies(X_22228,X_22226))) ),
inference(subst,[],[refute_0_243:[bind(X_22207,$fot(X_22226)),bind(X_22208,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))),X_1350),implies(X_1349,implies(X_1352,X_1350))))),bind(X_22209,$fot(X_22228)),bind(X_22210,$fot(X_22229))]]) ).
cnf(refute_0_245,plain,
is_a_theorem(implies(implies(implies(X_22226,X_22229),X_22226),implies(X_22228,X_22226))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) )],[refute_0_197,refute_0_244]) ).
cnf(refute_0_246,plain,
is_a_theorem(implies(implies(implies(X_22230,X_22232),X_22230),implies(X_22231,X_22230))),
inference(subst,[],[refute_0_245:[bind(X_22226,$fot(X_22230)),bind(X_22228,$fot(X_22231)),bind(X_22229,$fot(X_22232))]]) ).
cnf(refute_0_247,plain,
( ~ is_a_theorem(implies(implies(X_22230,X_22232),X_22230))
| is_a_theorem(implies(X_22231,X_22230)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_22230,X_22232),X_22230),implies(X_22231,X_22230))) )],[refute_0_246,refute_0_188]) ).
cnf(refute_0_248,plain,
( ~ is_a_theorem(implies(implies(implies(X_19048,implies(implies(X_19048,X_19047),X_19047)),X_19047),implies(X_19048,implies(implies(X_19048,X_19047),X_19047))))
| is_a_theorem(implies(X_22281,implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))) ),
inference(subst,[],[refute_0_247:[bind(X_22230,$fot(implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))),bind(X_22231,$fot(X_22281)),bind(X_22232,$fot(X_19047))]]) ).
cnf(refute_0_249,plain,
is_a_theorem(implies(X_22281,implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_19048,implies(implies(X_19048,X_19047),X_19047)),X_19047),implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))) )],[refute_0_187,refute_0_248]) ).
cnf(refute_0_250,plain,
is_a_theorem(implies(implies(X_45407,X_45407),implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))),
inference(subst,[],[refute_0_249:[bind(X_22281,$fot(implies(X_45407,X_45407)))]]) ).
cnf(refute_0_251,plain,
( ~ is_a_theorem(implies(implies(X_45366,X_45366),X_45365))
| ~ is_a_theorem(implies(implies(implies(X_45366,X_45366),X_45365),X_45365))
| is_a_theorem(X_45365) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_45366,X_45366),X_45365))),bind(Y,$fot(X_45365))]]) ).
cnf(refute_0_252,plain,
( ~ is_a_theorem(X_6899)
| ~ is_a_theorem(implies(X_6899,implies(X_6898,implies(X_6897,X_6897))))
| is_a_theorem(implies(X_6898,implies(X_6897,X_6897))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_6899)),bind(Y,$fot(implies(X_6898,implies(X_6897,X_6897))))]]) ).
cnf(refute_0_253,plain,
( ~ is_a_theorem(X_5441)
| ~ is_a_theorem(implies(X_5441,implies(X_5440,implies(X_5439,implies(X_5438,X_5438)))))
| is_a_theorem(implies(X_5440,implies(X_5439,implies(X_5438,X_5438)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_5441)),bind(Y,$fot(implies(X_5440,implies(X_5439,implies(X_5438,X_5438)))))]]) ).
cnf(refute_0_254,plain,
( ~ is_a_theorem(implies(implies(X_2990,X_2991),implies(X_2993,implies(X_2992,implies(X_2990,X_2991)))))
| is_a_theorem(implies(implies(implies(X_2992,implies(X_2990,X_2991)),X_2990),implies(X_6,implies(X_2993,X_2990)))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_2990)),bind(X_3,$fot(X_2991)),bind(X_4,$fot(X_2993)),bind(X_5,$fot(implies(X_2992,implies(X_2990,X_2991))))]]) ).
cnf(refute_0_255,plain,
( ~ is_a_theorem(implies(X_469,X_470))
| ~ is_a_theorem(implies(implies(X_469,X_470),implies(X_470,implies(X_471,implies(X_468,X_470)))))
| is_a_theorem(implies(X_470,implies(X_471,implies(X_468,X_470)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_469,X_470))),bind(Y,$fot(implies(X_470,implies(X_471,implies(X_468,X_470)))))]]) ).
cnf(refute_0_256,plain,
( ~ is_a_theorem(implies(X_469,X_470))
| is_a_theorem(implies(X_470,implies(X_471,implies(X_468,X_470)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_469,X_470),implies(X_470,implies(X_471,implies(X_468,X_470))))) )],[refute_0_41,refute_0_255]) ).
cnf(refute_0_257,plain,
( ~ is_a_theorem(implies(X_2969,implies(X_2968,X_2969)))
| is_a_theorem(implies(implies(X_2968,X_2969),implies(X_471,implies(X_468,implies(X_2968,X_2969))))) ),
inference(subst,[],[refute_0_256:[bind(X_469,$fot(X_2969)),bind(X_470,$fot(implies(X_2968,X_2969)))]]) ).
cnf(refute_0_258,plain,
is_a_theorem(implies(X_2969,implies(X_2968,X_2969))),
inference(subst,[],[refute_0_137:[bind(X_2965,$fot(X_2968)),bind(X_2967,$fot(X_2969))]]) ).
cnf(refute_0_259,plain,
is_a_theorem(implies(implies(X_2968,X_2969),implies(X_471,implies(X_468,implies(X_2968,X_2969))))),
inference(resolve,[$cnf( is_a_theorem(implies(X_2969,implies(X_2968,X_2969))) )],[refute_0_258,refute_0_257]) ).
cnf(refute_0_260,plain,
is_a_theorem(implies(implies(X_2990,X_2991),implies(X_2993,implies(X_2992,implies(X_2990,X_2991))))),
inference(subst,[],[refute_0_259:[bind(X_2968,$fot(X_2990)),bind(X_2969,$fot(X_2991)),bind(X_468,$fot(X_2992)),bind(X_471,$fot(X_2993))]]) ).
cnf(refute_0_261,plain,
is_a_theorem(implies(implies(implies(X_2992,implies(X_2990,X_2991)),X_2990),implies(X_6,implies(X_2993,X_2990)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2990,X_2991),implies(X_2993,implies(X_2992,implies(X_2990,X_2991))))) )],[refute_0_260,refute_0_254]) ).
cnf(refute_0_262,plain,
is_a_theorem(implies(implies(implies(X_2992,implies(X_2991,X_2991)),X_2991),implies(X_2992,implies(X_2991,X_2991)))),
inference(subst,[],[refute_0_261:[bind(X_2990,$fot(X_2991)),bind(X_2993,$fot(X_2991)),bind(X_6,$fot(X_2992))]]) ).
cnf(refute_0_263,plain,
( ~ is_a_theorem(implies(implies(implies(X_2992,implies(X_2991,X_2991)),X_2991),implies(X_2992,implies(X_2991,X_2991))))
| is_a_theorem(implies(X_5437,implies(X_5435,implies(X_2992,implies(X_2991,X_2991))))) ),
inference(subst,[],[refute_0_141:[bind(X_2986,$fot(implies(X_2992,implies(X_2991,X_2991)))),bind(X_2987,$fot(X_5435)),bind(X_2988,$fot(X_2991)),bind(X_2989,$fot(X_5437))]]) ).
cnf(refute_0_264,plain,
is_a_theorem(implies(X_5437,implies(X_5435,implies(X_2992,implies(X_2991,X_2991))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2992,implies(X_2991,X_2991)),X_2991),implies(X_2992,implies(X_2991,X_2991)))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
is_a_theorem(implies(X_5441,implies(X_5440,implies(X_5439,implies(X_5438,X_5438))))),
inference(subst,[],[refute_0_264:[bind(X_2991,$fot(X_5438)),bind(X_2992,$fot(X_5439)),bind(X_5435,$fot(X_5440)),bind(X_5437,$fot(X_5441))]]) ).
cnf(refute_0_266,plain,
( ~ is_a_theorem(X_5441)
| is_a_theorem(implies(X_5440,implies(X_5439,implies(X_5438,X_5438)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_5441,implies(X_5440,implies(X_5439,implies(X_5438,X_5438))))) )],[refute_0_265,refute_0_253]) ).
cnf(refute_0_267,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2))))
| is_a_theorem(implies(X_6895,implies(X_6894,implies(X_6893,X_6893)))) ),
inference(subst,[],[refute_0_266:[bind(X_5438,$fot(X_6893)),bind(X_5439,$fot(X_6894)),bind(X_5440,$fot(X_6895)),bind(X_5441,$fot(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))))]]) ).
cnf(refute_0_268,plain,
is_a_theorem(implies(X_6895,implies(X_6894,implies(X_6893,X_6893)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))) )],[refute_0_156,refute_0_267]) ).
cnf(refute_0_269,plain,
is_a_theorem(implies(X_6899,implies(X_6898,implies(X_6897,X_6897)))),
inference(subst,[],[refute_0_268:[bind(X_6893,$fot(X_6897)),bind(X_6894,$fot(X_6898)),bind(X_6895,$fot(X_6899))]]) ).
cnf(refute_0_270,plain,
( ~ is_a_theorem(X_6899)
| is_a_theorem(implies(X_6898,implies(X_6897,X_6897))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_6899,implies(X_6898,implies(X_6897,X_6897)))) )],[refute_0_269,refute_0_252]) ).
cnf(refute_0_271,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2))))
| is_a_theorem(implies(X_6910,implies(X_6909,X_6909))) ),
inference(subst,[],[refute_0_270:[bind(X_6897,$fot(X_6909)),bind(X_6898,$fot(X_6910)),bind(X_6899,$fot(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))))]]) ).
cnf(refute_0_272,plain,
is_a_theorem(implies(X_6910,implies(X_6909,X_6909))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_6876,implies(X_6872,implies(X_6874,X_6873))),X_6875),X_6873),implies(X_6876,implies(X_6872,implies(X_6874,X_6873)))),X_2),implies(X_6,implies(X_6870,X_2)))) )],[refute_0_156,refute_0_271]) ).
cnf(refute_0_273,plain,
is_a_theorem(implies(implies(implies(X_6909,X_6909),X_45364),implies(X_6909,X_6909))),
inference(subst,[],[refute_0_272:[bind(X_6910,$fot(implies(implies(X_6909,X_6909),X_45364)))]]) ).
cnf(refute_0_274,plain,
( ~ is_a_theorem(implies(implies(X_45361,X_45362),X_45361))
| ~ is_a_theorem(implies(implies(implies(X_45361,X_45362),X_45361),implies(implies(X_45361,X_45362),X_45362)))
| is_a_theorem(implies(implies(X_45361,X_45362),X_45362)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_45361,X_45362),X_45361))),bind(Y,$fot(implies(implies(X_45361,X_45362),X_45362)))]]) ).
cnf(refute_0_275,plain,
( ~ is_a_theorem(X_14799)
| ~ is_a_theorem(implies(X_14799,implies(implies(implies(X_14797,X_14798),X_14797),implies(implies(X_14797,X_14798),X_14798))))
| is_a_theorem(implies(implies(implies(X_14797,X_14798),X_14797),implies(implies(X_14797,X_14798),X_14798))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_14799)),bind(Y,$fot(implies(implies(implies(X_14797,X_14798),X_14797),implies(implies(X_14797,X_14798),X_14798))))]]) ).
cnf(refute_0_276,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) ),
inference(subst,[],[refute_0_95:[bind(X_1351,$fot(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358)))))]]) ).
cnf(refute_0_277,plain,
( ~ is_a_theorem(implies(implies(implies(X_2978,X_2979),X_2977),implies(X_2980,implies(X_2979,X_2977))))
| is_a_theorem(implies(implies(implies(implies(implies(X_2978,X_2979),X_2977),implies(X_2980,implies(X_2979,X_2977))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) ),
inference(subst,[],[refute_0_95:[bind(X_1351,$fot(implies(implies(implies(X_2978,X_2979),X_2977),implies(X_2980,implies(X_2979,X_2977)))))]]) ).
cnf(refute_0_278,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_2964,implies(X_2962,X_2964))))
| is_a_theorem(implies(implies(implies(X_2962,X_2964),X_2),implies(X_6,implies(X_2964,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_2964)),bind(X_5,$fot(implies(X_2962,X_2964)))]]) ).
cnf(refute_0_279,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_2964,implies(X_2962,X_2964)))),
inference(subst,[],[refute_0_133:[bind(X_2958,$fot(X_2962)),bind(X_2959,$fot(implies(X_2,X_3))),bind(X_2960,$fot(X_2964))]]) ).
cnf(refute_0_280,plain,
is_a_theorem(implies(implies(implies(X_2962,X_2964),X_2),implies(X_6,implies(X_2964,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_2964,implies(X_2962,X_2964)))) )],[refute_0_279,refute_0_278]) ).
cnf(refute_0_281,plain,
is_a_theorem(implies(implies(implies(X_2978,X_2979),X_2977),implies(X_2980,implies(X_2979,X_2977)))),
inference(subst,[],[refute_0_280:[bind(X_2,$fot(X_2977)),bind(X_2962,$fot(X_2978)),bind(X_2964,$fot(X_2979)),bind(X_6,$fot(X_2980))]]) ).
cnf(refute_0_282,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_2978,X_2979),X_2977),implies(X_2980,implies(X_2979,X_2977))),X_1350),implies(X_1349,implies(X_1352,X_1350)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2978,X_2979),X_2977),implies(X_2980,implies(X_2979,X_2977)))) )],[refute_0_281,refute_0_277]) ).
cnf(refute_0_283,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358)))),
inference(subst,[],[refute_0_282:[bind(X_1349,$fot(X_6357)),bind(X_1350,$fot(X_6358)),bind(X_1352,$fot(X_6359)),bind(X_2977,$fot(X_6360)),bind(X_2978,$fot(X_6361)),bind(X_2979,$fot(X_6362)),bind(X_2980,$fot(X_6363))]]) ).
cnf(refute_0_284,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358))),X_1350),implies(X_1349,implies(X_1352,X_1350)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358)))) )],[refute_0_283,refute_0_276]) ).
cnf(refute_0_285,plain,
( ~ is_a_theorem(X_14792)
| ~ is_a_theorem(implies(X_14792,implies(X_14791,implies(implies(implies(X_14789,X_14790),X_14789),implies(implies(X_14789,X_14790),X_14790)))))
| is_a_theorem(implies(X_14791,implies(implies(implies(X_14789,X_14790),X_14789),implies(implies(X_14789,X_14790),X_14790)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_14792)),bind(Y,$fot(implies(X_14791,implies(implies(implies(X_14789,X_14790),X_14789),implies(implies(X_14789,X_14790),X_14790)))))]]) ).
cnf(refute_0_286,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787)),X_14787),implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787))))
| is_a_theorem(implies(X_2989,implies(X_2987,implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787))))) ),
inference(subst,[],[refute_0_141:[bind(X_2986,$fot(implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787)))),bind(X_2988,$fot(X_14787))]]) ).
cnf(refute_0_287,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_14782,X_14780),implies(implies(X_14781,X_14782),implies(X_14781,X_14780)))))
| is_a_theorem(implies(implies(implies(implies(X_14781,X_14782),implies(X_14781,X_14780)),X_2),implies(X_6,implies(implies(X_14782,X_14780),X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(implies(X_14782,X_14780))),bind(X_5,$fot(implies(implies(X_14781,X_14782),implies(X_14781,X_14780))))]]) ).
cnf(refute_0_288,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_14779,X_14774),implies(implies(X_14776,X_14779),implies(X_14776,X_14774))),X_14774),implies(implies(X_14776,X_14779),implies(X_14776,X_14774))))
| is_a_theorem(implies(X_7928,implies(implies(X_14779,X_14774),implies(implies(X_14776,X_14779),implies(X_14776,X_14774))))) ),
inference(subst,[],[refute_0_168:[bind(X_7926,$fot(implies(implies(X_14776,X_14779),implies(X_14776,X_14774)))),bind(X_7927,$fot(implies(X_14779,X_14774))),bind(X_7929,$fot(X_14774))]]) ).
cnf(refute_0_289,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_7239,implies(implies(X_7243,X_7241),implies(implies(X_7242,X_7243),implies(X_7242,X_7241))))))
| is_a_theorem(implies(implies(implies(implies(X_7243,X_7241),implies(implies(X_7242,X_7243),implies(X_7242,X_7241))),X_2),implies(X_6,implies(X_7239,X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(X_7239)),bind(X_5,$fot(implies(implies(X_7243,X_7241),implies(implies(X_7242,X_7243),implies(X_7242,X_7241)))))]]) ).
cnf(refute_0_290,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234))),implies(X_7235,X_7234)),implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234)))))
| is_a_theorem(implies(X_2989,implies(X_2987,implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234)))))) ),
inference(subst,[],[refute_0_141:[bind(X_2986,$fot(implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234))))),bind(X_2988,$fot(implies(X_7235,X_7234)))]]) ).
cnf(refute_0_291,plain,
( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_3638,X_3639),implies(implies(X_3639,X_3637),implies(X_3640,implies(X_3638,X_3637))))))
| is_a_theorem(implies(implies(implies(implies(X_3639,X_3637),implies(X_3640,implies(X_3638,X_3637))),X_2),implies(X_6,implies(implies(X_3638,X_3639),X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_4,$fot(implies(X_3638,X_3639))),bind(X_5,$fot(implies(implies(X_3639,X_3637),implies(X_3640,implies(X_3638,X_3637)))))]]) ).
cnf(refute_0_292,plain,
( ~ is_a_theorem(implies(implies(X_2978,X_2979),X_2977))
| ~ is_a_theorem(implies(implies(implies(X_2978,X_2979),X_2977),implies(X_2980,implies(X_2979,X_2977))))
| is_a_theorem(implies(X_2980,implies(X_2979,X_2977))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_2978,X_2979),X_2977))),bind(Y,$fot(implies(X_2980,implies(X_2979,X_2977))))]]) ).
cnf(refute_0_293,plain,
( ~ is_a_theorem(implies(implies(X_2978,X_2979),X_2977))
| is_a_theorem(implies(X_2980,implies(X_2979,X_2977))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2978,X_2979),X_2977),implies(X_2980,implies(X_2979,X_2977)))) )],[refute_0_281,refute_0_292]) ).
cnf(refute_0_294,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(X_3630,implies(implies(R,S),implies(implies(S,P),implies(T,implies(R,P)))))) ),
inference(subst,[],[refute_0_293:[bind(X_2977,$fot(implies(implies(S,P),implies(T,implies(R,P))))),bind(X_2978,$fot(implies(P,Q))),bind(X_2979,$fot(implies(R,S))),bind(X_2980,$fot(X_3630))]]) ).
cnf(refute_0_295,plain,
is_a_theorem(implies(X_3630,implies(implies(R,S),implies(implies(S,P),implies(T,implies(R,P)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))) )],[ic_JLukasiewicz_5,refute_0_294]) ).
cnf(refute_0_296,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_3638,X_3639),implies(implies(X_3639,X_3637),implies(X_3640,implies(X_3638,X_3637)))))),
inference(subst,[],[refute_0_295:[bind(P,$fot(X_3637)),bind(R,$fot(X_3638)),bind(S,$fot(X_3639)),bind(T,$fot(X_3640)),bind(X_3630,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_297,plain,
is_a_theorem(implies(implies(implies(implies(X_3639,X_3637),implies(X_3640,implies(X_3638,X_3637))),X_2),implies(X_6,implies(implies(X_3638,X_3639),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_3638,X_3639),implies(implies(X_3639,X_3637),implies(X_3640,implies(X_3638,X_3637)))))) )],[refute_0_296,refute_0_291]) ).
cnf(refute_0_298,plain,
is_a_theorem(implies(implies(implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234))),implies(X_7235,X_7234)),implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234))))),
inference(subst,[],[refute_0_297:[bind(X_2,$fot(implies(X_7235,X_7234))),bind(X_3637,$fot(X_7234)),bind(X_3638,$fot(X_7235)),bind(X_3639,$fot(X_7236)),bind(X_3640,$fot(implies(X_7235,X_7236))),bind(X_6,$fot(implies(X_7236,X_7234)))]]) ).
cnf(refute_0_299,plain,
is_a_theorem(implies(X_2989,implies(X_2987,implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234)))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234))),implies(X_7235,X_7234)),implies(implies(X_7236,X_7234),implies(implies(X_7235,X_7236),implies(X_7235,X_7234))))) )],[refute_0_298,refute_0_290]) ).
cnf(refute_0_300,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(X_7239,implies(implies(X_7243,X_7241),implies(implies(X_7242,X_7243),implies(X_7242,X_7241)))))),
inference(subst,[],[refute_0_299:[bind(X_2987,$fot(X_7239)),bind(X_2989,$fot(implies(X_2,X_3))),bind(X_7234,$fot(X_7241)),bind(X_7235,$fot(X_7242)),bind(X_7236,$fot(X_7243))]]) ).
cnf(refute_0_301,plain,
is_a_theorem(implies(implies(implies(implies(X_7243,X_7241),implies(implies(X_7242,X_7243),implies(X_7242,X_7241))),X_2),implies(X_6,implies(X_7239,X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_7239,implies(implies(X_7243,X_7241),implies(implies(X_7242,X_7243),implies(X_7242,X_7241)))))) )],[refute_0_300,refute_0_289]) ).
cnf(refute_0_302,plain,
is_a_theorem(implies(implies(implies(implies(X_14779,X_14774),implies(implies(X_14776,X_14779),implies(X_14776,X_14774))),X_14774),implies(implies(X_14776,X_14779),implies(X_14776,X_14774)))),
inference(subst,[],[refute_0_301:[bind(X_2,$fot(X_14774)),bind(X_6,$fot(implies(X_14776,X_14779))),bind(X_7239,$fot(X_14776)),bind(X_7241,$fot(X_14774)),bind(X_7242,$fot(X_14776)),bind(X_7243,$fot(X_14779))]]) ).
cnf(refute_0_303,plain,
is_a_theorem(implies(X_7928,implies(implies(X_14779,X_14774),implies(implies(X_14776,X_14779),implies(X_14776,X_14774))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_14779,X_14774),implies(implies(X_14776,X_14779),implies(X_14776,X_14774))),X_14774),implies(implies(X_14776,X_14779),implies(X_14776,X_14774)))) )],[refute_0_302,refute_0_288]) ).
cnf(refute_0_304,plain,
is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_14782,X_14780),implies(implies(X_14781,X_14782),implies(X_14781,X_14780))))),
inference(subst,[],[refute_0_303:[bind(X_14774,$fot(X_14780)),bind(X_14776,$fot(X_14781)),bind(X_14779,$fot(X_14782)),bind(X_7928,$fot(implies(X_2,X_3)))]]) ).
cnf(refute_0_305,plain,
is_a_theorem(implies(implies(implies(implies(X_14781,X_14782),implies(X_14781,X_14780)),X_2),implies(X_6,implies(implies(X_14782,X_14780),X_2)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(X_14782,X_14780),implies(implies(X_14781,X_14782),implies(X_14781,X_14780))))) )],[refute_0_304,refute_0_287]) ).
cnf(refute_0_306,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787)),X_14787),implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787)))),
inference(subst,[],[refute_0_305:[bind(X_14780,$fot(X_14787)),bind(X_14781,$fot(implies(X_14786,X_14787))),bind(X_14782,$fot(X_14786)),bind(X_2,$fot(X_14787)),bind(X_6,$fot(implies(implies(X_14786,X_14787),X_14786)))]]) ).
cnf(refute_0_307,plain,
is_a_theorem(implies(X_2989,implies(X_2987,implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787)),X_14787),implies(implies(implies(X_14786,X_14787),X_14786),implies(implies(X_14786,X_14787),X_14787)))) )],[refute_0_306,refute_0_286]) ).
cnf(refute_0_308,plain,
is_a_theorem(implies(X_14792,implies(X_14791,implies(implies(implies(X_14789,X_14790),X_14789),implies(implies(X_14789,X_14790),X_14790))))),
inference(subst,[],[refute_0_307:[bind(X_14786,$fot(X_14789)),bind(X_14787,$fot(X_14790)),bind(X_2987,$fot(X_14791)),bind(X_2989,$fot(X_14792))]]) ).
cnf(refute_0_309,plain,
( ~ is_a_theorem(X_14792)
| is_a_theorem(implies(X_14791,implies(implies(implies(X_14789,X_14790),X_14789),implies(implies(X_14789,X_14790),X_14790)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_14792,implies(X_14791,implies(implies(implies(X_14789,X_14790),X_14789),implies(implies(X_14789,X_14790),X_14790))))) )],[refute_0_308,refute_0_285]) ).
cnf(refute_0_310,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358))),X_1350),implies(X_1349,implies(X_1352,X_1350))))
| is_a_theorem(implies(X_14795,implies(implies(implies(X_14793,X_14794),X_14793),implies(implies(X_14793,X_14794),X_14794)))) ),
inference(subst,[],[refute_0_309:[bind(X_14789,$fot(X_14793)),bind(X_14790,$fot(X_14794)),bind(X_14791,$fot(X_14795)),bind(X_14792,$fot(implies(implies(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358))),X_1350),implies(X_1349,implies(X_1352,X_1350)))))]]) ).
cnf(refute_0_311,plain,
is_a_theorem(implies(X_14795,implies(implies(implies(X_14793,X_14794),X_14793),implies(implies(X_14793,X_14794),X_14794)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_6361,X_6362),X_6360),implies(X_6363,implies(X_6362,X_6360))),X_6358),implies(X_6357,implies(X_6359,X_6358))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) )],[refute_0_284,refute_0_310]) ).
cnf(refute_0_312,plain,
is_a_theorem(implies(X_14799,implies(implies(implies(X_14797,X_14798),X_14797),implies(implies(X_14797,X_14798),X_14798)))),
inference(subst,[],[refute_0_311:[bind(X_14793,$fot(X_14797)),bind(X_14794,$fot(X_14798)),bind(X_14795,$fot(X_14799))]]) ).
cnf(refute_0_313,plain,
( ~ is_a_theorem(X_14799)
| is_a_theorem(implies(implies(implies(X_14797,X_14798),X_14797),implies(implies(X_14797,X_14798),X_14798))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_14799,implies(implies(implies(X_14797,X_14798),X_14797),implies(implies(X_14797,X_14798),X_14798)))) )],[refute_0_312,refute_0_275]) ).
cnf(refute_0_314,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))),X_1350),implies(X_1349,implies(X_1352,X_1350))))
| is_a_theorem(implies(implies(implies(X_45358,X_45359),X_45358),implies(implies(X_45358,X_45359),X_45359))) ),
inference(subst,[],[refute_0_313:[bind(X_14797,$fot(X_45358)),bind(X_14798,$fot(X_45359)),bind(X_14799,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))),X_1350),implies(X_1349,implies(X_1352,X_1350)))))]]) ).
cnf(refute_0_315,plain,
is_a_theorem(implies(implies(implies(X_45358,X_45359),X_45358),implies(implies(X_45358,X_45359),X_45359))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_9059,X_9058),X_9058),implies(X_9058,implies(X_9060,X_9058))),X_9061),implies(X_9062,implies(X_9057,X_9061))),X_9055),implies(X_9054,implies(X_9056,X_9055))),X_1350),implies(X_1349,implies(X_1352,X_1350)))) )],[refute_0_197,refute_0_314]) ).
cnf(refute_0_316,plain,
is_a_theorem(implies(implies(implies(X_45361,X_45362),X_45361),implies(implies(X_45361,X_45362),X_45362))),
inference(subst,[],[refute_0_315:[bind(X_45358,$fot(X_45361)),bind(X_45359,$fot(X_45362))]]) ).
cnf(refute_0_317,plain,
( ~ is_a_theorem(implies(implies(X_45361,X_45362),X_45361))
| is_a_theorem(implies(implies(X_45361,X_45362),X_45362)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_45361,X_45362),X_45361),implies(implies(X_45361,X_45362),X_45362))) )],[refute_0_316,refute_0_274]) ).
cnf(refute_0_318,plain,
( ~ is_a_theorem(implies(implies(implies(X_6909,X_6909),X_45364),implies(X_6909,X_6909)))
| is_a_theorem(implies(implies(implies(X_6909,X_6909),X_45364),X_45364)) ),
inference(subst,[],[refute_0_317:[bind(X_45361,$fot(implies(X_6909,X_6909))),bind(X_45362,$fot(X_45364))]]) ).
cnf(refute_0_319,plain,
is_a_theorem(implies(implies(implies(X_6909,X_6909),X_45364),X_45364)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6909,X_6909),X_45364),implies(X_6909,X_6909))) )],[refute_0_273,refute_0_318]) ).
cnf(refute_0_320,plain,
is_a_theorem(implies(implies(implies(X_45366,X_45366),X_45365),X_45365)),
inference(subst,[],[refute_0_319:[bind(X_45364,$fot(X_45365)),bind(X_6909,$fot(X_45366))]]) ).
cnf(refute_0_321,plain,
( ~ is_a_theorem(implies(implies(X_45366,X_45366),X_45365))
| is_a_theorem(X_45365) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_45366,X_45366),X_45365),X_45365)) )],[refute_0_320,refute_0_251]) ).
cnf(refute_0_322,plain,
( ~ is_a_theorem(implies(implies(X_45407,X_45407),implies(X_19048,implies(implies(X_19048,X_19047),X_19047))))
| is_a_theorem(implies(X_19048,implies(implies(X_19048,X_19047),X_19047))) ),
inference(subst,[],[refute_0_321:[bind(X_45365,$fot(implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))),bind(X_45366,$fot(X_45407))]]) ).
cnf(refute_0_323,plain,
is_a_theorem(implies(X_19048,implies(implies(X_19048,X_19047),X_19047))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_45407,X_45407),implies(X_19048,implies(implies(X_19048,X_19047),X_19047)))) )],[refute_0_250,refute_0_322]) ).
cnf(refute_0_324,plain,
is_a_theorem(implies(a,implies(implies(a,b),b))),
inference(subst,[],[refute_0_323:[bind(X_19047,$fot(b)),bind(X_19048,$fot(a))]]) ).
cnf(refute_0_325,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(a,implies(implies(a,b),b))) )],[refute_0_324,prove_ic_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 2 12:46:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 124.11/124.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 124.11/124.34
% 124.11/124.34 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 124.23/124.40
%------------------------------------------------------------------------------