TSTP Solution File: LCL083-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:49:18 EDT 2022
% Result : Unsatisfiable 0.91s 1.09s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 3
% Syntax : Number of clauses : 119 ( 63 unt; 0 nHn; 22 RR)
% Number of literals : 190 ( 0 equ; 72 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 523 ( 211 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(ic_JLukasiewicz,axiom,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ).
cnf(prove_ic_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(implies(X,Y),Z))
| ~ is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X))))
| is_a_theorem(implies(implies(Z,X),implies(U,X))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X,Y),Z))),bind(Y,$fot(implies(implies(Z,X),implies(U,X))))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(implies(X,Y),Z))
| is_a_theorem(implies(implies(Z,X),implies(U,X))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) )],[ic_JLukasiewicz,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)),X),implies(U,X))) ),
inference(subst,[],[refute_0_1:[bind(Z,$fot(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041))))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(X_553)
| ~ is_a_theorem(implies(X_553,implies(X_552,X_553)))
| is_a_theorem(implies(X_552,X_553)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_553)),bind(Y,$fot(implies(X_552,X_553)))]]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(implies(X_109,X_110),implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)),X_109),implies(U,X_109))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_109)),bind(Y,$fot(X_110)),bind(Z,$fot(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110))))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(X_35,X_36))
| ~ is_a_theorem(implies(implies(X_35,X_36),implies(X_36,implies(X_35,X_36))))
| is_a_theorem(implies(X_36,implies(X_35,X_36))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_35,X_36))),bind(Y,$fot(implies(X_36,implies(X_35,X_36))))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(implies(implies(X,Y),X_8),implies(implies(X_8,X),implies(U,X)))),
inference(subst,[],[ic_JLukasiewicz:[bind(Z,$fot(X_8))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(implies(X,Y),X_8),implies(implies(X_8,X),implies(U,X))))
| is_a_theorem(implies(implies(implies(implies(X_8,X),implies(U,X)),implies(X,Y)),implies(X_6,implies(X,Y)))) ),
inference(subst,[],[refute_0_1:[bind(U,$fot(X_6)),bind(X,$fot(implies(X,Y))),bind(Y,$fot(X_8)),bind(Z,$fot(implies(implies(X_8,X),implies(U,X))))]]) ).
cnf(refute_0_8,plain,
is_a_theorem(implies(implies(implies(implies(X_8,X),implies(U,X)),implies(X,Y)),implies(X_6,implies(X,Y)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),X_8),implies(implies(X_8,X),implies(U,X)))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(X_28)
| ~ is_a_theorem(implies(X_28,implies(implies(X_26,X_27),implies(X_27,implies(X_26,X_27)))))
| is_a_theorem(implies(implies(X_26,X_27),implies(X_27,implies(X_26,X_27)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_28)),bind(Y,$fot(implies(implies(X_26,X_27),implies(X_27,implies(X_26,X_27)))))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(implies(implies(implies(implies(X_8,X_21),implies(U,X_21)),implies(X_21,implies(U,X_21))),implies(implies(U,X_21),implies(X_21,implies(U,X_21))))),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_21)),bind(Y,$fot(implies(U,X_21))),bind(X_6,$fot(implies(U,X_21)))]]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)))
| ~ is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12))))
| is_a_theorem(implies(X_13,implies(X_11,X_12))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)))),bind(Y,$fot(implies(X_13,implies(X_11,X_12))))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12)))),
inference(subst,[],[refute_0_8:[bind(U,$fot(X_10)),bind(X,$fot(X_11)),bind(Y,$fot(X_12)),bind(X_6,$fot(X_13)),bind(X_8,$fot(X_14))]]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)))
| is_a_theorem(implies(X_13,implies(X_11,X_12))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12)))) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_8,X_21),implies(U,X_21)),implies(X_21,implies(U,X_21))),implies(implies(U,X_21),implies(X_21,implies(U,X_21)))))
| is_a_theorem(implies(X_24,implies(implies(U,X_21),implies(X_21,implies(U,X_21))))) ),
inference(subst,[],[refute_0_13:[bind(X_10,$fot(X_21)),bind(X_11,$fot(implies(U,X_21))),bind(X_12,$fot(implies(X_21,implies(U,X_21)))),bind(X_13,$fot(X_24)),bind(X_14,$fot(implies(X_8,X_21)))]]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(X_24,implies(implies(U,X_21),implies(X_21,implies(U,X_21))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_8,X_21),implies(U,X_21)),implies(X_21,implies(U,X_21))),implies(implies(U,X_21),implies(X_21,implies(U,X_21))))) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(X_28,implies(implies(X_26,X_27),implies(X_27,implies(X_26,X_27))))),
inference(subst,[],[refute_0_15:[bind(U,$fot(X_26)),bind(X_21,$fot(X_27)),bind(X_24,$fot(X_28))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(X_28)
| is_a_theorem(implies(implies(X_26,X_27),implies(X_27,implies(X_26,X_27)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_28,implies(implies(X_26,X_27),implies(X_27,implies(X_26,X_27))))) )],[refute_0_16,refute_0_9]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_8,X),implies(U,X)),implies(X,Y)),implies(X_6,implies(X,Y))))
| is_a_theorem(implies(implies(X_32,X_33),implies(X_33,implies(X_32,X_33)))) ),
inference(subst,[],[refute_0_17:[bind(X_26,$fot(X_32)),bind(X_27,$fot(X_33)),bind(X_28,$fot(implies(implies(implies(implies(X_8,X),implies(U,X)),implies(X,Y)),implies(X_6,implies(X,Y)))))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(implies(X_32,X_33),implies(X_33,implies(X_32,X_33)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_8,X),implies(U,X)),implies(X,Y)),implies(X_6,implies(X,Y)))) )],[refute_0_8,refute_0_18]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(implies(X_35,X_36),implies(X_36,implies(X_35,X_36)))),
inference(subst,[],[refute_0_19:[bind(X_32,$fot(X_35)),bind(X_33,$fot(X_36))]]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(implies(X_35,X_36))
| is_a_theorem(implies(X_36,implies(X_35,X_36))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_35,X_36),implies(X_36,implies(X_35,X_36)))) )],[refute_0_20,refute_0_5]) ).
cnf(refute_0_22,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_52,X_52),implies(implies(X_53,X_52),implies(X_52,X_52))),X_51),implies(X_50,X_51)))
| is_a_theorem(implies(implies(X_50,X_51),implies(implies(implies(implies(X_52,X_52),implies(implies(X_53,X_52),implies(X_52,X_52))),X_51),implies(X_50,X_51)))) ),
inference(subst,[],[refute_0_21:[bind(X_35,$fot(implies(implies(implies(X_52,X_52),implies(implies(X_53,X_52),implies(X_52,X_52))),X_51))),bind(X_36,$fot(implies(X_50,X_51)))]]) ).
cnf(refute_0_23,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(X_29,X_29),implies(implies(X_30,X_29),implies(X_29,X_29)))))
| is_a_theorem(implies(implies(implies(implies(X_29,X_29),implies(implies(X_30,X_29),implies(X_29,X_29))),X),implies(U,X))) ),
inference(subst,[],[refute_0_1:[bind(Z,$fot(implies(implies(X_29,X_29),implies(implies(X_30,X_29),implies(X_29,X_29)))))]]) ).
cnf(refute_0_24,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12))))
| is_a_theorem(implies(implies(implies(X_13,implies(X_11,X_12)),implies(implies(X_14,X_11),implies(X_10,X_11))),implies(U,implies(implies(X_14,X_11),implies(X_10,X_11))))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(implies(X_14,X_11),implies(X_10,X_11)))),bind(Y,$fot(implies(X_11,X_12))),bind(Z,$fot(implies(X_13,implies(X_11,X_12))))]]) ).
cnf(refute_0_25,plain,
is_a_theorem(implies(implies(implies(X_13,implies(X_11,X_12)),implies(implies(X_14,X_11),implies(X_10,X_11))),implies(U,implies(implies(X_14,X_11),implies(X_10,X_11))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12)))) )],[refute_0_12,refute_0_24]) ).
cnf(refute_0_26,plain,
is_a_theorem(implies(implies(implies(X_25,implies(X_12,X_12)),implies(implies(X_14,X_12),implies(X_12,X_12))),implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12))))),
inference(subst,[],[refute_0_25:[bind(U,$fot(implies(X_12,X_12))),bind(X_10,$fot(X_12)),bind(X_11,$fot(X_12)),bind(X_13,$fot(X_25))]]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(implies(implies(X_25,implies(X_12,X_12)),implies(implies(X_14,X_12),implies(X_12,X_12))),implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12)))))
| is_a_theorem(implies(X_24,implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12))))) ),
inference(subst,[],[refute_0_13:[bind(X_10,$fot(implies(X_14,X_12))),bind(X_11,$fot(implies(X_12,X_12))),bind(X_12,$fot(implies(implies(X_14,X_12),implies(X_12,X_12)))),bind(X_13,$fot(X_24)),bind(X_14,$fot(X_25))]]) ).
cnf(refute_0_28,plain,
is_a_theorem(implies(X_24,implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_25,implies(X_12,X_12)),implies(implies(X_14,X_12),implies(X_12,X_12))),implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12))))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
is_a_theorem(implies(implies(X,Y),implies(implies(X_29,X_29),implies(implies(X_30,X_29),implies(X_29,X_29))))),
inference(subst,[],[refute_0_28:[bind(X_12,$fot(X_29)),bind(X_14,$fot(X_30)),bind(X_24,$fot(implies(X,Y)))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(implies(implies(implies(X_29,X_29),implies(implies(X_30,X_29),implies(X_29,X_29))),X),implies(U,X))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(X_29,X_29),implies(implies(X_30,X_29),implies(X_29,X_29))))) )],[refute_0_29,refute_0_23]) ).
cnf(refute_0_31,plain,
is_a_theorem(implies(implies(implies(implies(X_52,X_52),implies(implies(X_53,X_52),implies(X_52,X_52))),X_51),implies(X_50,X_51))),
inference(subst,[],[refute_0_30:[bind(U,$fot(X_50)),bind(X,$fot(X_51)),bind(X_29,$fot(X_52)),bind(X_30,$fot(X_53))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(implies(X_50,X_51),implies(implies(implies(implies(X_52,X_52),implies(implies(X_53,X_52),implies(X_52,X_52))),X_51),implies(X_50,X_51)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_52,X_52),implies(implies(X_53,X_52),implies(X_52,X_52))),X_51),implies(X_50,X_51))) )],[refute_0_31,refute_0_22]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(implies(X_109,X_110),implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)))),
inference(subst,[],[refute_0_32:[bind(X_50,$fot(X_109)),bind(X_51,$fot(X_110)),bind(X_52,$fot(X_111)),bind(X_53,$fot(X_112))]]) ).
cnf(refute_0_34,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)),X_109),implies(U,X_109))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_109,X_110),implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)))) )],[refute_0_33,refute_0_4]) ).
cnf(refute_0_35,plain,
( ~ is_a_theorem(X_513)
| ~ is_a_theorem(implies(X_513,implies(X_514,implies(X_512,X_514))))
| is_a_theorem(implies(X_514,implies(X_512,X_514))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_513)),bind(Y,$fot(implies(X_514,implies(X_512,X_514))))]]) ).
cnf(refute_0_36,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_10,X_509),X_509),implies(X_10,X_509)),implies(X_509,implies(X_10,X_509))))
| is_a_theorem(implies(X_13,implies(X_509,implies(X_10,X_509)))) ),
inference(subst,[],[refute_0_13:[bind(X_11,$fot(X_509)),bind(X_12,$fot(implies(X_10,X_509))),bind(X_14,$fot(implies(X_10,X_509)))]]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(X_480)
| ~ is_a_theorem(implies(X_480,implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482))))
| is_a_theorem(implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_480)),bind(Y,$fot(implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482))))]]) ).
cnf(refute_0_38,plain,
is_a_theorem(implies(implies(implies(X_476,Y),implies(X_476,X_477)),implies(implies(implies(X_476,X_477),X_476),implies(X_475,X_476)))),
inference(subst,[],[ic_JLukasiewicz:[bind(U,$fot(X_475)),bind(X,$fot(X_476)),bind(Z,$fot(implies(X_476,X_477)))]]) ).
cnf(refute_0_39,plain,
( ~ is_a_theorem(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))))
| ~ is_a_theorem(implies(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17)))))
| is_a_theorem(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))))),bind(Y,$fot(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17)))))]]) ).
cnf(refute_0_40,plain,
is_a_theorem(implies(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))))),
inference(subst,[],[refute_0_25:[bind(U,$fot(X_15)),bind(X_10,$fot(X_16)),bind(X_11,$fot(X_17)),bind(X_12,$fot(X_18)),bind(X_13,$fot(X_19)),bind(X_14,$fot(X_20))]]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))))
| is_a_theorem(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))))) )],[refute_0_40,refute_0_39]) ).
cnf(refute_0_42,plain,
( ~ is_a_theorem(implies(implies(implies(X_476,Y),implies(X_476,X_477)),implies(implies(implies(X_476,X_477),X_476),implies(X_475,X_476))))
| is_a_theorem(implies(X_474,implies(implies(implies(X_476,X_477),X_476),implies(X_475,X_476)))) ),
inference(subst,[],[refute_0_41:[bind(X_15,$fot(X_474)),bind(X_16,$fot(X_475)),bind(X_17,$fot(X_476)),bind(X_18,$fot(X_477)),bind(X_19,$fot(implies(X_476,Y))),bind(X_20,$fot(implies(X_476,X_477)))]]) ).
cnf(refute_0_43,plain,
is_a_theorem(implies(X_474,implies(implies(implies(X_476,X_477),X_476),implies(X_475,X_476)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_476,Y),implies(X_476,X_477)),implies(implies(implies(X_476,X_477),X_476),implies(X_475,X_476)))) )],[refute_0_38,refute_0_42]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(X_480,implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482)))),
inference(subst,[],[refute_0_43:[bind(X_474,$fot(X_480)),bind(X_475,$fot(X_481)),bind(X_476,$fot(X_482)),bind(X_477,$fot(X_483))]]) ).
cnf(refute_0_45,plain,
( ~ is_a_theorem(X_480)
| is_a_theorem(implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_480,implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482)))) )],[refute_0_44,refute_0_37]) ).
cnf(refute_0_46,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)),X_109),implies(U,X_109)))
| is_a_theorem(implies(implies(implies(X_507,X_508),X_507),implies(X_506,X_507))) ),
inference(subst,[],[refute_0_45:[bind(X_480,$fot(implies(implies(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)),X_109),implies(U,X_109)))),bind(X_481,$fot(X_506)),bind(X_482,$fot(X_507)),bind(X_483,$fot(X_508))]]) ).
cnf(refute_0_47,plain,
is_a_theorem(implies(implies(implies(X_507,X_508),X_507),implies(X_506,X_507))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)),X_109),implies(U,X_109))) )],[refute_0_34,refute_0_46]) ).
cnf(refute_0_48,plain,
is_a_theorem(implies(implies(implies(implies(X_10,X_509),X_509),implies(X_10,X_509)),implies(X_509,implies(X_10,X_509)))),
inference(subst,[],[refute_0_47:[bind(X_506,$fot(X_509)),bind(X_507,$fot(implies(X_10,X_509))),bind(X_508,$fot(X_509))]]) ).
cnf(refute_0_49,plain,
is_a_theorem(implies(X_13,implies(X_509,implies(X_10,X_509)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_10,X_509),X_509),implies(X_10,X_509)),implies(X_509,implies(X_10,X_509)))) )],[refute_0_48,refute_0_36]) ).
cnf(refute_0_50,plain,
is_a_theorem(implies(X_513,implies(X_514,implies(X_512,X_514)))),
inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_512)),bind(X_13,$fot(X_513)),bind(X_509,$fot(X_514))]]) ).
cnf(refute_0_51,plain,
( ~ is_a_theorem(X_513)
| is_a_theorem(implies(X_514,implies(X_512,X_514))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_513,implies(X_514,implies(X_512,X_514)))) )],[refute_0_50,refute_0_35]) ).
cnf(refute_0_52,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)),X_109),implies(U,X_109)))
| is_a_theorem(implies(X_551,implies(X_549,X_551))) ),
inference(subst,[],[refute_0_51:[bind(X_512,$fot(X_549)),bind(X_513,$fot(implies(implies(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)),X_109),implies(U,X_109)))),bind(X_514,$fot(X_551))]]) ).
cnf(refute_0_53,plain,
is_a_theorem(implies(X_551,implies(X_549,X_551))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_111,X_111),implies(implies(X_112,X_111),implies(X_111,X_111))),X_110),implies(X_109,X_110)),X_109),implies(U,X_109))) )],[refute_0_34,refute_0_52]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(X_553,implies(X_552,X_553))),
inference(subst,[],[refute_0_53:[bind(X_549,$fot(X_552)),bind(X_551,$fot(X_553))]]) ).
cnf(refute_0_55,plain,
( ~ is_a_theorem(X_553)
| is_a_theorem(implies(X_552,X_553)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_553,implies(X_552,X_553))) )],[refute_0_54,refute_0_3]) ).
cnf(refute_0_56,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_1016,X_1014),implies(X_1013,X_1014)),X_1015),implies(X_1014,X_1015)),X_1012),implies(X_1011,X_1012)))
| is_a_theorem(implies(X_552,implies(implies(implies(implies(implies(implies(X_1016,X_1014),implies(X_1013,X_1014)),X_1015),implies(X_1014,X_1015)),X_1012),implies(X_1011,X_1012)))) ),
inference(subst,[],[refute_0_55:[bind(X_553,$fot(implies(implies(implies(implies(implies(implies(X_1016,X_1014),implies(X_1013,X_1014)),X_1015),implies(X_1014,X_1015)),X_1012),implies(X_1011,X_1012))))]]) ).
cnf(refute_0_57,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_998,X_996),implies(X_995,X_996)),X_997),implies(X_996,X_997))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X_998,X_996),implies(X_995,X_996)),X_997),implies(X_996,X_997)),X),implies(U,X))) ),
inference(subst,[],[refute_0_1:[bind(Z,$fot(implies(implies(implies(implies(X_998,X_996),implies(X_995,X_996)),X_997),implies(X_996,X_997))))]]) ).
cnf(refute_0_58,plain,
is_a_theorem(implies(implies(implies(X_991,Y),implies(implies(X_993,X_990),implies(X_989,X_990))),implies(implies(implies(implies(X_993,X_990),implies(X_989,X_990)),X_991),implies(X_990,X_991)))),
inference(subst,[],[ic_JLukasiewicz:[bind(U,$fot(X_990)),bind(X,$fot(X_991)),bind(Z,$fot(implies(implies(X_993,X_990),implies(X_989,X_990))))]]) ).
cnf(refute_0_59,plain,
( ~ is_a_theorem(implies(implies(X_83,implies(implies(X_88,X_85),implies(X_84,X_85))),implies(X_87,implies(X_85,X_86))))
| ~ is_a_theorem(implies(implies(implies(X_83,implies(implies(X_88,X_85),implies(X_84,X_85))),implies(X_87,implies(X_85,X_86))),implies(X_82,implies(X_87,implies(X_85,X_86)))))
| is_a_theorem(implies(X_82,implies(X_87,implies(X_85,X_86)))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_83,implies(implies(X_88,X_85),implies(X_84,X_85))),implies(X_87,implies(X_85,X_86))))),bind(Y,$fot(implies(X_82,implies(X_87,implies(X_85,X_86)))))]]) ).
cnf(refute_0_60,plain,
( ~ is_a_theorem(implies(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17)))))
| is_a_theorem(implies(implies(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_19,implies(X_17,X_18))),implies(U,implies(X_19,implies(X_17,X_18))))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(X_19,implies(X_17,X_18)))),bind(Y,$fot(implies(implies(X_20,X_17),implies(X_16,X_17)))),bind(Z,$fot(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17)))))]]) ).
cnf(refute_0_61,plain,
is_a_theorem(implies(implies(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_19,implies(X_17,X_18))),implies(U,implies(X_19,implies(X_17,X_18))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))))) )],[refute_0_40,refute_0_60]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(implies(implies(X_83,implies(implies(X_88,X_85),implies(X_84,X_85))),implies(X_87,implies(X_85,X_86))),implies(X_82,implies(X_87,implies(X_85,X_86))))),
inference(subst,[],[refute_0_61:[bind(U,$fot(X_82)),bind(X_15,$fot(X_83)),bind(X_16,$fot(X_84)),bind(X_17,$fot(X_85)),bind(X_18,$fot(X_86)),bind(X_19,$fot(X_87)),bind(X_20,$fot(X_88))]]) ).
cnf(refute_0_63,plain,
( ~ is_a_theorem(implies(implies(X_83,implies(implies(X_88,X_85),implies(X_84,X_85))),implies(X_87,implies(X_85,X_86))))
| is_a_theorem(implies(X_82,implies(X_87,implies(X_85,X_86)))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_83,implies(implies(X_88,X_85),implies(X_84,X_85))),implies(X_87,implies(X_85,X_86))),implies(X_82,implies(X_87,implies(X_85,X_86))))) )],[refute_0_62,refute_0_59]) ).
cnf(refute_0_64,plain,
( ~ is_a_theorem(implies(implies(implies(X_991,Y),implies(implies(X_993,X_990),implies(X_989,X_990))),implies(implies(implies(implies(X_993,X_990),implies(X_989,X_990)),X_991),implies(X_990,X_991))))
| is_a_theorem(implies(X_987,implies(implies(implies(implies(X_993,X_990),implies(X_989,X_990)),X_991),implies(X_990,X_991)))) ),
inference(subst,[],[refute_0_63:[bind(X_82,$fot(X_987)),bind(X_83,$fot(implies(X_991,Y))),bind(X_84,$fot(X_989)),bind(X_85,$fot(X_990)),bind(X_86,$fot(X_991)),bind(X_87,$fot(implies(implies(implies(X_993,X_990),implies(X_989,X_990)),X_991))),bind(X_88,$fot(X_993))]]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(X_987,implies(implies(implies(implies(X_993,X_990),implies(X_989,X_990)),X_991),implies(X_990,X_991)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_991,Y),implies(implies(X_993,X_990),implies(X_989,X_990))),implies(implies(implies(implies(X_993,X_990),implies(X_989,X_990)),X_991),implies(X_990,X_991)))) )],[refute_0_58,refute_0_64]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_998,X_996),implies(X_995,X_996)),X_997),implies(X_996,X_997)))),
inference(subst,[],[refute_0_65:[bind(X_987,$fot(implies(X,Y))),bind(X_989,$fot(X_995)),bind(X_990,$fot(X_996)),bind(X_991,$fot(X_997)),bind(X_993,$fot(X_998))]]) ).
cnf(refute_0_67,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_998,X_996),implies(X_995,X_996)),X_997),implies(X_996,X_997)),X),implies(U,X))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_998,X_996),implies(X_995,X_996)),X_997),implies(X_996,X_997)))) )],[refute_0_66,refute_0_57]) ).
cnf(refute_0_68,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_1016,X_1014),implies(X_1013,X_1014)),X_1015),implies(X_1014,X_1015)),X_1012),implies(X_1011,X_1012))),
inference(subst,[],[refute_0_67:[bind(U,$fot(X_1011)),bind(X,$fot(X_1012)),bind(X_995,$fot(X_1013)),bind(X_996,$fot(X_1014)),bind(X_997,$fot(X_1015)),bind(X_998,$fot(X_1016))]]) ).
cnf(refute_0_69,plain,
is_a_theorem(implies(X_552,implies(implies(implies(implies(implies(implies(X_1016,X_1014),implies(X_1013,X_1014)),X_1015),implies(X_1014,X_1015)),X_1012),implies(X_1011,X_1012)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_1016,X_1014),implies(X_1013,X_1014)),X_1015),implies(X_1014,X_1015)),X_1012),implies(X_1011,X_1012))) )],[refute_0_68,refute_0_56]) ).
cnf(refute_0_70,plain,
is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)))),
inference(subst,[],[refute_0_69:[bind(X_1011,$fot(X_1040)),bind(X_1012,$fot(X_1041)),bind(X_1013,$fot(X_1042)),bind(X_1014,$fot(X_1043)),bind(X_1015,$fot(X_1044)),bind(X_1016,$fot(X_1045)),bind(X_552,$fot(implies(X,Y)))]]) ).
cnf(refute_0_71,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)),X),implies(U,X))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)))) )],[refute_0_70,refute_0_2]) ).
cnf(refute_0_72,plain,
( ~ is_a_theorem(X_1947)
| ~ is_a_theorem(implies(X_1947,implies(implies(implies(X_1946,X_1948),X_1946),X_1946)))
| is_a_theorem(implies(implies(implies(X_1946,X_1948),X_1946),X_1946)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1947)),bind(Y,$fot(implies(implies(implies(X_1946,X_1948),X_1946),X_1946)))]]) ).
cnf(refute_0_73,plain,
( ~ is_a_theorem(implies(implies(implies(X_1908,X_1909),X_1910),X_1909))
| ~ is_a_theorem(implies(implies(implies(implies(X_1908,X_1909),X_1910),X_1909),implies(X_1908,X_1909)))
| is_a_theorem(implies(X_1908,X_1909)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_1908,X_1909),X_1910),X_1909))),bind(Y,$fot(implies(X_1908,X_1909)))]]) ).
cnf(refute_0_74,plain,
( ~ is_a_theorem(X_1494)
| ~ is_a_theorem(implies(X_1494,implies(implies(implies(implies(X_1492,X_1493),X_1495),X_1493),implies(X_1492,X_1493))))
| is_a_theorem(implies(implies(implies(implies(X_1492,X_1493),X_1495),X_1493),implies(X_1492,X_1493))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1494)),bind(Y,$fot(implies(implies(implies(implies(X_1492,X_1493),X_1495),X_1493),implies(X_1492,X_1493))))]]) ).
cnf(refute_0_75,plain,
is_a_theorem(implies(implies(implies(X,Y),implies(implies(U,X),X_1491)),implies(implies(implies(implies(U,X),X_1491),X),implies(U,X)))),
inference(subst,[],[ic_JLukasiewicz:[bind(Z,$fot(implies(implies(U,X),X_1491)))]]) ).
cnf(refute_0_76,plain,
( ~ is_a_theorem(implies(implies(X_569,implies(X_571,X_572)),implies(X_570,X_571)))
| ~ is_a_theorem(implies(implies(implies(X_569,implies(X_571,X_572)),implies(X_570,X_571)),implies(X_568,implies(X_570,X_571))))
| is_a_theorem(implies(X_568,implies(X_570,X_571))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_569,implies(X_571,X_572)),implies(X_570,X_571)))),bind(Y,$fot(implies(X_568,implies(X_570,X_571))))]]) ).
cnf(refute_0_77,plain,
( ~ is_a_theorem(implies(implies(implies(X_516,X_517),implies(X_517,X_518)),implies(X_515,implies(X_517,X_518))))
| is_a_theorem(implies(implies(implies(X_515,implies(X_517,X_518)),implies(X_516,X_517)),implies(U,implies(X_516,X_517)))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(X_516,X_517))),bind(Y,$fot(implies(X_517,X_518))),bind(Z,$fot(implies(X_515,implies(X_517,X_518))))]]) ).
cnf(refute_0_78,plain,
( ~ is_a_theorem(implies(implies(implies(X_510,X_511),X_510),implies(X_509,X_510)))
| is_a_theorem(implies(implies(implies(X_509,X_510),implies(X_510,X_511)),implies(U,implies(X_510,X_511)))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(X_510,X_511))),bind(Y,$fot(X_510)),bind(Z,$fot(implies(X_509,X_510)))]]) ).
cnf(refute_0_79,plain,
is_a_theorem(implies(implies(implies(X_510,X_511),X_510),implies(X_509,X_510))),
inference(subst,[],[refute_0_47:[bind(X_506,$fot(X_509)),bind(X_507,$fot(X_510)),bind(X_508,$fot(X_511))]]) ).
cnf(refute_0_80,plain,
is_a_theorem(implies(implies(implies(X_509,X_510),implies(X_510,X_511)),implies(U,implies(X_510,X_511)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_510,X_511),X_510),implies(X_509,X_510))) )],[refute_0_79,refute_0_78]) ).
cnf(refute_0_81,plain,
is_a_theorem(implies(implies(implies(X_516,X_517),implies(X_517,X_518)),implies(X_515,implies(X_517,X_518)))),
inference(subst,[],[refute_0_80:[bind(U,$fot(X_515)),bind(X_509,$fot(X_516)),bind(X_510,$fot(X_517)),bind(X_511,$fot(X_518))]]) ).
cnf(refute_0_82,plain,
is_a_theorem(implies(implies(implies(X_515,implies(X_517,X_518)),implies(X_516,X_517)),implies(U,implies(X_516,X_517)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_516,X_517),implies(X_517,X_518)),implies(X_515,implies(X_517,X_518)))) )],[refute_0_81,refute_0_77]) ).
cnf(refute_0_83,plain,
is_a_theorem(implies(implies(implies(X_569,implies(X_571,X_572)),implies(X_570,X_571)),implies(X_568,implies(X_570,X_571)))),
inference(subst,[],[refute_0_82:[bind(U,$fot(X_568)),bind(X_515,$fot(X_569)),bind(X_516,$fot(X_570)),bind(X_517,$fot(X_571)),bind(X_518,$fot(X_572))]]) ).
cnf(refute_0_84,plain,
( ~ is_a_theorem(implies(implies(X_569,implies(X_571,X_572)),implies(X_570,X_571)))
| is_a_theorem(implies(X_568,implies(X_570,X_571))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_569,implies(X_571,X_572)),implies(X_570,X_571)),implies(X_568,implies(X_570,X_571)))) )],[refute_0_83,refute_0_76]) ).
cnf(refute_0_85,plain,
( ~ is_a_theorem(implies(implies(implies(X,Y),implies(implies(U,X),X_1491)),implies(implies(implies(implies(U,X),X_1491),X),implies(U,X))))
| is_a_theorem(implies(X_1487,implies(implies(implies(implies(U,X),X_1491),X),implies(U,X)))) ),
inference(subst,[],[refute_0_84:[bind(X_568,$fot(X_1487)),bind(X_569,$fot(implies(X,Y))),bind(X_570,$fot(implies(implies(implies(U,X),X_1491),X))),bind(X_571,$fot(implies(U,X))),bind(X_572,$fot(X_1491))]]) ).
cnf(refute_0_86,plain,
is_a_theorem(implies(X_1487,implies(implies(implies(implies(U,X),X_1491),X),implies(U,X)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),implies(implies(U,X),X_1491)),implies(implies(implies(implies(U,X),X_1491),X),implies(U,X)))) )],[refute_0_75,refute_0_85]) ).
cnf(refute_0_87,plain,
is_a_theorem(implies(X_1494,implies(implies(implies(implies(X_1492,X_1493),X_1495),X_1493),implies(X_1492,X_1493)))),
inference(subst,[],[refute_0_86:[bind(U,$fot(X_1492)),bind(X,$fot(X_1493)),bind(X_1487,$fot(X_1494)),bind(X_1491,$fot(X_1495))]]) ).
cnf(refute_0_88,plain,
( ~ is_a_theorem(X_1494)
| is_a_theorem(implies(implies(implies(implies(X_1492,X_1493),X_1495),X_1493),implies(X_1492,X_1493))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_1494,implies(implies(implies(implies(X_1492,X_1493),X_1495),X_1493),implies(X_1492,X_1493)))) )],[refute_0_87,refute_0_74]) ).
cnf(refute_0_89,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)),X),implies(U,X)))
| is_a_theorem(implies(implies(implies(implies(X_1904,X_1905),X_1907),X_1905),implies(X_1904,X_1905))) ),
inference(subst,[],[refute_0_88:[bind(X_1492,$fot(X_1904)),bind(X_1493,$fot(X_1905)),bind(X_1494,$fot(implies(implies(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)),X),implies(U,X)))),bind(X_1495,$fot(X_1907))]]) ).
cnf(refute_0_90,plain,
is_a_theorem(implies(implies(implies(implies(X_1904,X_1905),X_1907),X_1905),implies(X_1904,X_1905))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)),X),implies(U,X))) )],[refute_0_71,refute_0_89]) ).
cnf(refute_0_91,plain,
is_a_theorem(implies(implies(implies(implies(X_1908,X_1909),X_1910),X_1909),implies(X_1908,X_1909))),
inference(subst,[],[refute_0_90:[bind(X_1904,$fot(X_1908)),bind(X_1905,$fot(X_1909)),bind(X_1907,$fot(X_1910))]]) ).
cnf(refute_0_92,plain,
( ~ is_a_theorem(implies(implies(implies(X_1908,X_1909),X_1910),X_1909))
| is_a_theorem(implies(X_1908,X_1909)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_1908,X_1909),X_1910),X_1909),implies(X_1908,X_1909))) )],[refute_0_91,refute_0_73]) ).
cnf(refute_0_93,plain,
( ~ is_a_theorem(implies(implies(implies(X_1943,implies(implies(implies(X_1942,X_1945),X_1942),X_1942)),X_1942),implies(implies(implies(X_1942,X_1945),X_1942),X_1942)))
| is_a_theorem(implies(X_1943,implies(implies(implies(X_1942,X_1945),X_1942),X_1942))) ),
inference(subst,[],[refute_0_92:[bind(X_1908,$fot(X_1943)),bind(X_1909,$fot(implies(implies(implies(X_1942,X_1945),X_1942),X_1942))),bind(X_1910,$fot(X_1942))]]) ).
cnf(refute_0_94,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(X_1915,implies(implies(implies(X_1916,X_1918),X_1916),X_1916))))
| is_a_theorem(implies(implies(implies(X_1915,implies(implies(implies(X_1916,X_1918),X_1916),X_1916)),X),implies(U,X))) ),
inference(subst,[],[refute_0_1:[bind(Z,$fot(implies(X_1915,implies(implies(implies(X_1916,X_1918),X_1916),X_1916))))]]) ).
cnf(refute_0_95,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_487,X_488),X_487),implies(X_486,X_487)),X_485))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X_487,X_488),X_487),implies(X_486,X_487)),X_485),implies(X_484,X_485)))
| is_a_theorem(implies(X_484,X_485)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_487,X_488),X_487),implies(X_486,X_487)),X_485))),bind(Y,$fot(implies(X_484,X_485)))]]) ).
cnf(refute_0_96,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482))))
| is_a_theorem(implies(implies(implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482)),X),implies(U,X))) ),
inference(subst,[],[refute_0_1:[bind(Z,$fot(implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482))))]]) ).
cnf(refute_0_97,plain,
is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482)))),
inference(subst,[],[refute_0_43:[bind(X_474,$fot(implies(X,Y))),bind(X_475,$fot(X_481)),bind(X_476,$fot(X_482)),bind(X_477,$fot(X_483))]]) ).
cnf(refute_0_98,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482)),X),implies(U,X))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_482,X_483),X_482),implies(X_481,X_482)))) )],[refute_0_97,refute_0_96]) ).
cnf(refute_0_99,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_487,X_488),X_487),implies(X_486,X_487)),X_485),implies(X_484,X_485))),
inference(subst,[],[refute_0_98:[bind(U,$fot(X_484)),bind(X,$fot(X_485)),bind(X_481,$fot(X_486)),bind(X_482,$fot(X_487)),bind(X_483,$fot(X_488))]]) ).
cnf(refute_0_100,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_487,X_488),X_487),implies(X_486,X_487)),X_485))
| is_a_theorem(implies(X_484,X_485)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_487,X_488),X_487),implies(X_486,X_487)),X_485),implies(X_484,X_485))) )],[refute_0_99,refute_0_95]) ).
cnf(refute_0_101,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_1914,X_488),X_1914),implies(implies(implies(X_1914,X_488),X_1914),X_1914)),implies(X_1911,implies(implies(implies(X_1914,X_488),X_1914),X_1914))))
| is_a_theorem(implies(X_484,implies(X_1911,implies(implies(implies(X_1914,X_488),X_1914),X_1914)))) ),
inference(subst,[],[refute_0_100:[bind(X_485,$fot(implies(X_1911,implies(implies(implies(X_1914,X_488),X_1914),X_1914)))),bind(X_486,$fot(implies(implies(X_1914,X_488),X_1914))),bind(X_487,$fot(X_1914))]]) ).
cnf(refute_0_102,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_1908,X_1909),X_1910),X_1909),implies(X_1908,X_1909)))
| is_a_theorem(implies(implies(implies(X_1908,X_1909),implies(implies(X_1908,X_1909),X_1910)),implies(U,implies(implies(X_1908,X_1909),X_1910)))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(implies(X_1908,X_1909),X_1910))),bind(Y,$fot(X_1909)),bind(Z,$fot(implies(X_1908,X_1909)))]]) ).
cnf(refute_0_103,plain,
is_a_theorem(implies(implies(implies(X_1908,X_1909),implies(implies(X_1908,X_1909),X_1910)),implies(U,implies(implies(X_1908,X_1909),X_1910)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_1908,X_1909),X_1910),X_1909),implies(X_1908,X_1909))) )],[refute_0_91,refute_0_102]) ).
cnf(refute_0_104,plain,
is_a_theorem(implies(implies(implies(implies(X_1914,X_488),X_1914),implies(implies(implies(X_1914,X_488),X_1914),X_1914)),implies(X_1911,implies(implies(implies(X_1914,X_488),X_1914),X_1914)))),
inference(subst,[],[refute_0_103:[bind(U,$fot(X_1911)),bind(X_1908,$fot(implies(X_1914,X_488))),bind(X_1909,$fot(X_1914)),bind(X_1910,$fot(X_1914))]]) ).
cnf(refute_0_105,plain,
is_a_theorem(implies(X_484,implies(X_1911,implies(implies(implies(X_1914,X_488),X_1914),X_1914)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_1914,X_488),X_1914),implies(implies(implies(X_1914,X_488),X_1914),X_1914)),implies(X_1911,implies(implies(implies(X_1914,X_488),X_1914),X_1914)))) )],[refute_0_104,refute_0_101]) ).
cnf(refute_0_106,plain,
is_a_theorem(implies(implies(X,Y),implies(X_1915,implies(implies(implies(X_1916,X_1918),X_1916),X_1916)))),
inference(subst,[],[refute_0_105:[bind(X_1911,$fot(X_1915)),bind(X_1914,$fot(X_1916)),bind(X_484,$fot(implies(X,Y))),bind(X_488,$fot(X_1918))]]) ).
cnf(refute_0_107,plain,
is_a_theorem(implies(implies(implies(X_1915,implies(implies(implies(X_1916,X_1918),X_1916),X_1916)),X),implies(U,X))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(X_1915,implies(implies(implies(X_1916,X_1918),X_1916),X_1916)))) )],[refute_0_106,refute_0_94]) ).
cnf(refute_0_108,plain,
is_a_theorem(implies(implies(implies(X_1943,implies(implies(implies(X_1942,X_1945),X_1942),X_1942)),X_1942),implies(implies(implies(X_1942,X_1945),X_1942),X_1942))),
inference(subst,[],[refute_0_107:[bind(U,$fot(implies(implies(X_1942,X_1945),X_1942))),bind(X,$fot(X_1942)),bind(X_1915,$fot(X_1943)),bind(X_1916,$fot(X_1942)),bind(X_1918,$fot(X_1945))]]) ).
cnf(refute_0_109,plain,
is_a_theorem(implies(X_1943,implies(implies(implies(X_1942,X_1945),X_1942),X_1942))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1943,implies(implies(implies(X_1942,X_1945),X_1942),X_1942)),X_1942),implies(implies(implies(X_1942,X_1945),X_1942),X_1942))) )],[refute_0_108,refute_0_93]) ).
cnf(refute_0_110,plain,
is_a_theorem(implies(X_1947,implies(implies(implies(X_1946,X_1948),X_1946),X_1946))),
inference(subst,[],[refute_0_109:[bind(X_1942,$fot(X_1946)),bind(X_1943,$fot(X_1947)),bind(X_1945,$fot(X_1948))]]) ).
cnf(refute_0_111,plain,
( ~ is_a_theorem(X_1947)
| is_a_theorem(implies(implies(implies(X_1946,X_1948),X_1946),X_1946)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_1947,implies(implies(implies(X_1946,X_1948),X_1946),X_1946))) )],[refute_0_110,refute_0_72]) ).
cnf(refute_0_112,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)),X),implies(U,X)))
| is_a_theorem(implies(implies(implies(X_1956,X_1958),X_1956),X_1956)) ),
inference(subst,[],[refute_0_111:[bind(X_1946,$fot(X_1956)),bind(X_1947,$fot(implies(implies(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)),X),implies(U,X)))),bind(X_1948,$fot(X_1958))]]) ).
cnf(refute_0_113,plain,
is_a_theorem(implies(implies(implies(X_1956,X_1958),X_1956),X_1956)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1045,X_1043),implies(X_1042,X_1043)),X_1044),implies(X_1043,X_1044)),X_1041),implies(X_1040,X_1041)),X),implies(U,X))) )],[refute_0_71,refute_0_112]) ).
cnf(refute_0_114,plain,
is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(subst,[],[refute_0_113:[bind(X_1956,$fot(a)),bind(X_1958,$fot(b))]]) ).
cnf(refute_0_115,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(a,b),a),a)) )],[refute_0_114,prove_ic_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL083-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 19:16:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.91/1.09 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.09
% 0.91/1.09 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.91/1.11
%------------------------------------------------------------------------------