TSTP Solution File: LCL023-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL023-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 12:48:50 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of clauses : 59 ( 34 unt; 0 nHn; 21 RR)
% Number of literals : 90 ( 0 equ; 32 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(yql,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))) ).
cnf(prove_ec_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(equivalent(equivalent(X_167,X_166),X_166))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_167,X_166),X_166),X_167))
| is_a_theorem(X_167) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_167,X_166),X_166))),bind(Y,$fot(X_167))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z))))
| is_a_theorem(equivalent(equivalent(Z,Y),equivalent(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X,Y))),bind(Y,$fot(equivalent(equivalent(Z,Y),equivalent(X,Z))))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(equivalent(X,Y))
| is_a_theorem(equivalent(equivalent(Z,Y),equivalent(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))) )],[yql,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(equivalent(X_81,X_81))
| is_a_theorem(equivalent(equivalent(Z,X_81),equivalent(X_81,Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_81)),bind(Y,$fot(X_81))]]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_8,X_10))))
| ~ is_a_theorem(equivalent(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_8,X_10))),equivalent(equivalent(X_8,X_9),X_11)))
| is_a_theorem(equivalent(equivalent(X_8,X_9),X_11)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_8,X_10))))),bind(Y,$fot(equivalent(equivalent(X_8,X_9),X_11)))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z))))
| is_a_theorem(equivalent(equivalent(X_7,equivalent(equivalent(Z,Y),equivalent(X,Z))),equivalent(equivalent(X,Y),X_7))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(equivalent(X,Y))),bind(Y,$fot(equivalent(equivalent(Z,Y),equivalent(X,Z)))),bind(Z,$fot(X_7))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(equivalent(equivalent(X_7,equivalent(equivalent(Z,Y),equivalent(X,Z))),equivalent(equivalent(X,Y),X_7))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))) )],[yql,refute_0_5]) ).
cnf(refute_0_7,plain,
is_a_theorem(equivalent(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_8,X_10))),equivalent(equivalent(X_8,X_9),X_11))),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(X_10)),bind(X_7,$fot(X_11))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_8,X_10))))
| is_a_theorem(equivalent(equivalent(X_8,X_9),X_11)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_11,equivalent(equivalent(X_10,X_9),equivalent(X_8,X_10))),equivalent(equivalent(X_8,X_9),X_11))) )],[refute_0_7,refute_0_4]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_24,X_23),X_26),equivalent(equivalent(equivalent(X_24,X_23),X_24),equivalent(equivalent(X_23,X_26),equivalent(X_24,X_23)))))
| is_a_theorem(equivalent(equivalent(equivalent(X_23,X_26),X_24),equivalent(equivalent(X_24,X_23),X_26))) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(equivalent(X_24,X_23))),bind(X_11,$fot(equivalent(equivalent(X_24,X_23),X_26))),bind(X_8,$fot(equivalent(X_23,X_26))),bind(X_9,$fot(X_24))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_19,X_17),equivalent(equivalent(Z,X_20),equivalent(X_17,Z))),equivalent(equivalent(X_17,X_20),equivalent(X_19,X_17)))),
inference(subst,[],[refute_0_6:[bind(X,$fot(X_17)),bind(Y,$fot(X_20)),bind(X_7,$fot(equivalent(X_19,X_17)))]]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_19,X_17),equivalent(equivalent(Z,X_20),equivalent(X_17,Z))),equivalent(equivalent(X_17,X_20),equivalent(X_19,X_17))))
| is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_19,X_17),equivalent(equivalent(Z,X_20),equivalent(X_17,Z))))) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(X_17)),bind(X_11,$fot(equivalent(equivalent(X_19,X_17),equivalent(equivalent(Z,X_20),equivalent(X_17,Z))))),bind(X_8,$fot(X_19)),bind(X_9,$fot(X_20))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_19,X_17),equivalent(equivalent(Z,X_20),equivalent(X_17,Z))))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_19,X_17),equivalent(equivalent(Z,X_20),equivalent(X_17,Z))),equivalent(equivalent(X_17,X_20),equivalent(X_19,X_17)))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_24,X_23),X_26),equivalent(equivalent(equivalent(X_24,X_23),X_24),equivalent(equivalent(X_23,X_26),equivalent(X_24,X_23))))),
inference(subst,[],[refute_0_12:[bind(Z,$fot(X_23)),bind(X_17,$fot(X_24)),bind(X_19,$fot(equivalent(X_24,X_23))),bind(X_20,$fot(X_26))]]) ).
cnf(refute_0_14,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_23,X_26),X_24),equivalent(equivalent(X_24,X_23),X_26))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_24,X_23),X_26),equivalent(equivalent(equivalent(X_24,X_23),X_24),equivalent(equivalent(X_23,X_26),equivalent(X_24,X_23))))) )],[refute_0_13,refute_0_9]) ).
cnf(refute_0_15,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_26,X_26),X_26),equivalent(equivalent(X_26,X_26),X_26))),
inference(subst,[],[refute_0_14:[bind(X_23,$fot(X_26)),bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_16,plain,
( ~ is_a_theorem(equivalent(X_36,X_36))
| ~ is_a_theorem(equivalent(equivalent(X_36,X_36),equivalent(X_37,X_37)))
| is_a_theorem(equivalent(X_37,X_37)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_36,X_36))),bind(Y,$fot(equivalent(X_37,X_37)))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(equivalent(equivalent(X_34,X_34),equivalent(equivalent(X_34,X_33),equivalent(X_33,X_34))))
| is_a_theorem(equivalent(equivalent(X_33,X_33),equivalent(X_34,X_34))) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(X_34)),bind(X_11,$fot(equivalent(X_34,X_34))),bind(X_8,$fot(X_33)),bind(X_9,$fot(X_33))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_8,X_28),equivalent(X_28,X_29)),equivalent(equivalent(X_28,X_29),equivalent(X_8,X_28))))
| is_a_theorem(equivalent(equivalent(X_8,X_29),equivalent(equivalent(X_8,X_28),equivalent(X_28,X_29)))) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(X_28)),bind(X_11,$fot(equivalent(equivalent(X_8,X_28),equivalent(X_28,X_29)))),bind(X_9,$fot(X_29))]]) ).
cnf(refute_0_19,plain,
( ~ is_a_theorem(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_22)))
| is_a_theorem(equivalent(equivalent(Z,equivalent(X_21,X_22)),equivalent(equivalent(X_21,X_22),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(equivalent(X_21,X_22))),bind(Y,$fot(equivalent(X_21,X_22)))]]) ).
cnf(refute_0_20,plain,
is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_17,X_20),equivalent(X_19,X_17)))),
inference(subst,[],[yql:[bind(X,$fot(X_19)),bind(Y,$fot(X_20)),bind(Z,$fot(X_17))]]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_17,X_20),equivalent(X_19,X_17))))
| is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(X_19,X_20))) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(X_17)),bind(X_11,$fot(equivalent(X_19,X_20))),bind(X_8,$fot(X_19)),bind(X_9,$fot(X_20))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(X_19,X_20))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_17,X_20),equivalent(X_19,X_17)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
is_a_theorem(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_22))),
inference(subst,[],[refute_0_22:[bind(X_19,$fot(X_21)),bind(X_20,$fot(X_22))]]) ).
cnf(refute_0_24,plain,
is_a_theorem(equivalent(equivalent(Z,equivalent(X_21,X_22)),equivalent(equivalent(X_21,X_22),Z))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_22))) )],[refute_0_23,refute_0_19]) ).
cnf(refute_0_25,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_8,X_28),equivalent(X_28,X_29)),equivalent(equivalent(X_28,X_29),equivalent(X_8,X_28)))),
inference(subst,[],[refute_0_24:[bind(Z,$fot(equivalent(X_8,X_28))),bind(X_21,$fot(X_28)),bind(X_22,$fot(X_29))]]) ).
cnf(refute_0_26,plain,
is_a_theorem(equivalent(equivalent(X_8,X_29),equivalent(equivalent(X_8,X_28),equivalent(X_28,X_29)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_8,X_28),equivalent(X_28,X_29)),equivalent(equivalent(X_28,X_29),equivalent(X_8,X_28)))) )],[refute_0_25,refute_0_18]) ).
cnf(refute_0_27,plain,
is_a_theorem(equivalent(equivalent(X_34,X_34),equivalent(equivalent(X_34,X_33),equivalent(X_33,X_34)))),
inference(subst,[],[refute_0_26:[bind(X_28,$fot(X_33)),bind(X_29,$fot(X_34)),bind(X_8,$fot(X_34))]]) ).
cnf(refute_0_28,plain,
is_a_theorem(equivalent(equivalent(X_33,X_33),equivalent(X_34,X_34))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_34,X_34),equivalent(equivalent(X_34,X_33),equivalent(X_33,X_34)))) )],[refute_0_27,refute_0_17]) ).
cnf(refute_0_29,plain,
is_a_theorem(equivalent(equivalent(X_36,X_36),equivalent(X_37,X_37))),
inference(subst,[],[refute_0_28:[bind(X_33,$fot(X_36)),bind(X_34,$fot(X_37))]]) ).
cnf(refute_0_30,plain,
( ~ is_a_theorem(equivalent(X_36,X_36))
| is_a_theorem(equivalent(X_37,X_37)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_36,X_36),equivalent(X_37,X_37))) )],[refute_0_29,refute_0_16]) ).
cnf(refute_0_31,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_26,X_26),X_26),equivalent(equivalent(X_26,X_26),X_26)))
| is_a_theorem(equivalent(X_80,X_80)) ),
inference(subst,[],[refute_0_30:[bind(X_36,$fot(equivalent(equivalent(X_26,X_26),X_26))),bind(X_37,$fot(X_80))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(equivalent(X_80,X_80)),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_26,X_26),X_26),equivalent(equivalent(X_26,X_26),X_26))) )],[refute_0_15,refute_0_31]) ).
cnf(refute_0_33,plain,
is_a_theorem(equivalent(X_81,X_81)),
inference(subst,[],[refute_0_32:[bind(X_80,$fot(X_81))]]) ).
cnf(refute_0_34,plain,
is_a_theorem(equivalent(equivalent(Z,X_81),equivalent(X_81,Z))),
inference(resolve,[$cnf( is_a_theorem(equivalent(X_81,X_81)) )],[refute_0_33,refute_0_3]) ).
cnf(refute_0_35,plain,
is_a_theorem(equivalent(equivalent(X_163,X_165),equivalent(X_165,X_163))),
inference(subst,[],[refute_0_34:[bind(Z,$fot(X_163)),bind(X_81,$fot(X_165))]]) ).
cnf(refute_0_36,plain,
( ~ is_a_theorem(equivalent(equivalent(X_30,X_32),X_31))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_30,X_32),X_31),equivalent(equivalent(X_31,X_30),X_32)))
| is_a_theorem(equivalent(equivalent(X_31,X_30),X_32)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_30,X_32),X_31))),bind(Y,$fot(equivalent(equivalent(X_31,X_30),X_32)))]]) ).
cnf(refute_0_37,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_30,X_32),X_31),equivalent(equivalent(X_31,X_30),X_32))),
inference(subst,[],[refute_0_14:[bind(X_23,$fot(X_30)),bind(X_24,$fot(X_31)),bind(X_26,$fot(X_32))]]) ).
cnf(refute_0_38,plain,
( ~ is_a_theorem(equivalent(equivalent(X_30,X_32),X_31))
| is_a_theorem(equivalent(equivalent(X_31,X_30),X_32)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_30,X_32),X_31),equivalent(equivalent(X_31,X_30),X_32))) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
( ~ is_a_theorem(equivalent(equivalent(X_163,X_165),equivalent(X_165,X_163)))
| is_a_theorem(equivalent(equivalent(equivalent(X_165,X_163),X_163),X_165)) ),
inference(subst,[],[refute_0_38:[bind(X_30,$fot(X_163)),bind(X_31,$fot(equivalent(X_165,X_163))),bind(X_32,$fot(X_165))]]) ).
cnf(refute_0_40,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_165,X_163),X_163),X_165)),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_163,X_165),equivalent(X_165,X_163))) )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_167,X_166),X_166),X_167)),
inference(subst,[],[refute_0_40:[bind(X_163,$fot(X_166)),bind(X_165,$fot(X_167))]]) ).
cnf(refute_0_42,plain,
( ~ is_a_theorem(equivalent(equivalent(X_167,X_166),X_166))
| is_a_theorem(X_167) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_167,X_166),X_166),X_167)) )],[refute_0_41,refute_0_0]) ).
cnf(refute_0_43,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_493,equivalent(X_492,X_494)),equivalent(equivalent(X_493,X_492),X_494)),X_493),X_493))
| is_a_theorem(equivalent(equivalent(X_493,equivalent(X_492,X_494)),equivalent(equivalent(X_493,X_492),X_494))) ),
inference(subst,[],[refute_0_42:[bind(X_166,$fot(X_493)),bind(X_167,$fot(equivalent(equivalent(X_493,equivalent(X_492,X_494)),equivalent(equivalent(X_493,X_492),X_494))))]]) ).
cnf(refute_0_44,plain,
( ~ is_a_theorem(equivalent(equivalent(X_480,X_478),equivalent(equivalent(X_480,equivalent(X_477,X_479)),equivalent(equivalent(X_478,X_477),X_479))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_480,equivalent(X_477,X_479)),equivalent(equivalent(X_478,X_477),X_479)),X_480),X_478)) ),
inference(subst,[],[refute_0_38:[bind(X_30,$fot(X_480)),bind(X_31,$fot(equivalent(equivalent(X_480,equivalent(X_477,X_479)),equivalent(equivalent(X_478,X_477),X_479)))),bind(X_32,$fot(X_478))]]) ).
cnf(refute_0_45,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_8,equivalent(X_470,X_472)),equivalent(equivalent(X_471,X_470),X_472)),equivalent(equivalent(equivalent(X_470,X_472),X_471),equivalent(X_8,equivalent(X_470,X_472)))))
| is_a_theorem(equivalent(equivalent(X_8,X_471),equivalent(equivalent(X_8,equivalent(X_470,X_472)),equivalent(equivalent(X_471,X_470),X_472)))) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(equivalent(X_470,X_472))),bind(X_11,$fot(equivalent(equivalent(X_8,equivalent(X_470,X_472)),equivalent(equivalent(X_471,X_470),X_472)))),bind(X_9,$fot(X_471))]]) ).
cnf(refute_0_46,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_30,X_32),X_31),equivalent(equivalent(X_31,X_30),X_32)))
| is_a_theorem(equivalent(equivalent(Z,equivalent(equivalent(X_31,X_30),X_32)),equivalent(equivalent(equivalent(X_30,X_32),X_31),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(equivalent(equivalent(X_30,X_32),X_31))),bind(Y,$fot(equivalent(equivalent(X_31,X_30),X_32)))]]) ).
cnf(refute_0_47,plain,
is_a_theorem(equivalent(equivalent(Z,equivalent(equivalent(X_31,X_30),X_32)),equivalent(equivalent(equivalent(X_30,X_32),X_31),Z))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_30,X_32),X_31),equivalent(equivalent(X_31,X_30),X_32))) )],[refute_0_37,refute_0_46]) ).
cnf(refute_0_48,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_8,equivalent(X_470,X_472)),equivalent(equivalent(X_471,X_470),X_472)),equivalent(equivalent(equivalent(X_470,X_472),X_471),equivalent(X_8,equivalent(X_470,X_472))))),
inference(subst,[],[refute_0_47:[bind(Z,$fot(equivalent(X_8,equivalent(X_470,X_472)))),bind(X_30,$fot(X_470)),bind(X_31,$fot(X_471)),bind(X_32,$fot(X_472))]]) ).
cnf(refute_0_49,plain,
is_a_theorem(equivalent(equivalent(X_8,X_471),equivalent(equivalent(X_8,equivalent(X_470,X_472)),equivalent(equivalent(X_471,X_470),X_472)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_8,equivalent(X_470,X_472)),equivalent(equivalent(X_471,X_470),X_472)),equivalent(equivalent(equivalent(X_470,X_472),X_471),equivalent(X_8,equivalent(X_470,X_472))))) )],[refute_0_48,refute_0_45]) ).
cnf(refute_0_50,plain,
is_a_theorem(equivalent(equivalent(X_480,X_478),equivalent(equivalent(X_480,equivalent(X_477,X_479)),equivalent(equivalent(X_478,X_477),X_479)))),
inference(subst,[],[refute_0_49:[bind(X_470,$fot(X_477)),bind(X_471,$fot(X_478)),bind(X_472,$fot(X_479)),bind(X_8,$fot(X_480))]]) ).
cnf(refute_0_51,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_480,equivalent(X_477,X_479)),equivalent(equivalent(X_478,X_477),X_479)),X_480),X_478)),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_480,X_478),equivalent(equivalent(X_480,equivalent(X_477,X_479)),equivalent(equivalent(X_478,X_477),X_479)))) )],[refute_0_50,refute_0_44]) ).
cnf(refute_0_52,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_493,equivalent(X_492,X_494)),equivalent(equivalent(X_493,X_492),X_494)),X_493),X_493)),
inference(subst,[],[refute_0_51:[bind(X_477,$fot(X_492)),bind(X_478,$fot(X_493)),bind(X_479,$fot(X_494)),bind(X_480,$fot(X_493))]]) ).
cnf(refute_0_53,plain,
is_a_theorem(equivalent(equivalent(X_493,equivalent(X_492,X_494)),equivalent(equivalent(X_493,X_492),X_494))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_493,equivalent(X_492,X_494)),equivalent(equivalent(X_493,X_492),X_494)),X_493),X_493)) )],[refute_0_52,refute_0_43]) ).
cnf(refute_0_54,plain,
is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
inference(subst,[],[refute_0_53:[bind(X_492,$fot(b)),bind(X_493,$fot(a)),bind(X_494,$fot(c))]]) ).
cnf(refute_0_55,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))) )],[refute_0_54,prove_ec_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL023-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jul 2 19:22:13 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48
% 0.20/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.49
%------------------------------------------------------------------------------