TSTP Solution File: LCL098-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 12:49:28 EDT 2022
% Result : Unsatisfiable 0.67s 0.85s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of clauses : 32 ( 19 unt; 0 nHn; 14 RR)
% Number of literals : 49 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 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(lg_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)) ).
cnf(prove_lg_4,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),X_3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),X_3),X_3))
| is_a_theorem(X_3) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),X_3))),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_1,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),X_3),X_3)),
inference(subst,[],[lg_3:[bind(U,$fot(X_2)),bind(V,$fot(X_3)),bind(X,$fot(X_4)),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),X_3))
| is_a_theorem(X_3) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),X_3),X_3)) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),equivalent(X_1439,X_1441)),equivalent(equivalent(X_1439,X_1440),X_6)),equivalent(equivalent(X_1440,X_1441),X_1443)),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443))),equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),X_6),X_1443),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),X_6),X_1443),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443)))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(equivalent(equivalent(X_1440,X_1441),X_1443))),bind(X_3,$fot(equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),X_6),X_1443),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443))))),bind(X_4,$fot(equivalent(X_1439,X_1440))),bind(X_5,$fot(equivalent(X_1439,X_1441)))]]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_24)),equivalent(equivalent(equivalent(X_25,X_26),equivalent(X_25,X_27)),X_23)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_24)),equivalent(equivalent(equivalent(X_25,X_26),equivalent(X_25,X_27)),X_23)),equivalent(equivalent(X_22,X_24),equivalent(equivalent(X_26,X_27),X_23))))
| is_a_theorem(equivalent(equivalent(X_22,X_24),equivalent(equivalent(X_26,X_27),X_23))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_24)),equivalent(equivalent(equivalent(X_25,X_26),equivalent(X_25,X_27)),X_23)))),bind(Y,$fot(equivalent(equivalent(X_22,X_24),equivalent(equivalent(X_26,X_27),X_23))))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2)),equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_5,X_6),X_2)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2)),equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_5,X_6),X_2)))) ),
inference(subst,[],[refute_0_2:[bind(X_3,$fot(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2)),equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_5,X_6),X_2)))))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_14),equivalent(equivalent(X_5,X_6),X_14)),equivalent(equivalent(X_13,X_14),equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_13),equivalent(equivalent(X_5,X_6),X_14)))))
| is_a_theorem(equivalent(equivalent(X_13,X_14),equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_13),equivalent(equivalent(X_5,X_6),X_14)))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_14)),bind(X_3,$fot(equivalent(equivalent(X_13,X_14),equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_13),equivalent(equivalent(X_5,X_6),X_14)))))]]) ).
cnf(refute_0_7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(equivalent(X,Y),X_11)),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11))),equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11)))),equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11))))),
inference(subst,[],[lg_3:[bind(U,$fot(equivalent(equivalent(X,Y),X_11))),bind(V,$fot(equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11)))))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(equivalent(X,Y),X_11)),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11))),equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11)))),equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11)))))
| is_a_theorem(equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11)))) ),
inference(subst,[],[refute_0_2:[bind(X_2,$fot(equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11)))),bind(X_3,$fot(equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11))))),bind(X_4,$fot(equivalent(X,Y))),bind(X_5,$fot(equivalent(X,Z))),bind(X_6,$fot(X_11))]]) ).
cnf(refute_0_9,plain,
is_a_theorem(equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(equivalent(X,Y),X_11)),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11))),equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11)))),equivalent(equivalent(equivalent(X,Z),X_11),equivalent(equivalent(Y,Z),equivalent(equivalent(X,Y),X_11))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_14),equivalent(equivalent(X_5,X_6),X_14)),equivalent(equivalent(X_13,X_14),equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_13),equivalent(equivalent(X_5,X_6),X_14))))),
inference(subst,[],[refute_0_9:[bind(X,$fot(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)))),bind(Y,$fot(X_13)),bind(Z,$fot(X_14)),bind(X_11,$fot(equivalent(equivalent(X_5,X_6),X_14)))]]) ).
cnf(refute_0_11,plain,
is_a_theorem(equivalent(equivalent(X_13,X_14),equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_13),equivalent(equivalent(X_5,X_6),X_14)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_14),equivalent(equivalent(X_5,X_6),X_14)),equivalent(equivalent(X_13,X_14),equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_13),equivalent(equivalent(X_5,X_6),X_14))))) )],[refute_0_10,refute_0_6]) ).
cnf(refute_0_12,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2)),equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_5,X_6),X_2))))),
inference(subst,[],[refute_0_11:[bind(X_13,$fot(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2))),bind(X_14,$fot(equivalent(equivalent(X_5,X_6),X_2))),bind(X_4,$fot(X_18)),bind(X_5,$fot(X_19)),bind(X_6,$fot(X_20))]]) ).
cnf(refute_0_13,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2)),equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_5,X_6),X_2)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2),equivalent(equivalent(X_5,X_6),X_2)),equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),equivalent(equivalent(equivalent(X_4,X_5),equivalent(X_4,X_6)),X_2)),equivalent(equivalent(X_19,X_20),equivalent(equivalent(X_5,X_6),X_2))))) )],[refute_0_12,refute_0_5]) ).
cnf(refute_0_14,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_24)),equivalent(equivalent(equivalent(X_25,X_26),equivalent(X_25,X_27)),X_23)),equivalent(equivalent(X_22,X_24),equivalent(equivalent(X_26,X_27),X_23)))),
inference(subst,[],[refute_0_13:[bind(X_18,$fot(X_21)),bind(X_19,$fot(X_22)),bind(X_2,$fot(X_23)),bind(X_20,$fot(X_24)),bind(X_4,$fot(X_25)),bind(X_5,$fot(X_26)),bind(X_6,$fot(X_27))]]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_24)),equivalent(equivalent(equivalent(X_25,X_26),equivalent(X_25,X_27)),X_23)))
| is_a_theorem(equivalent(equivalent(X_22,X_24),equivalent(equivalent(X_26,X_27),X_23))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_24)),equivalent(equivalent(equivalent(X_25,X_26),equivalent(X_25,X_27)),X_23)),equivalent(equivalent(X_22,X_24),equivalent(equivalent(X_26,X_27),X_23)))) )],[refute_0_14,refute_0_4]) ).
cnf(refute_0_16,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_1430)),equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_27))),equivalent(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_1430)),X_1434)),equivalent(equivalent(equivalent(equivalent(X_1432,X_1433),X_1430),equivalent(equivalent(X_1432,X_1433),X_27)),X_1434)))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_27)),X_1434),equivalent(equivalent(X_1430,X_27),X_1434))) ),
inference(subst,[],[refute_0_15:[bind(X_21,$fot(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_1430)))),bind(X_22,$fot(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_27)))),bind(X_23,$fot(X_1434)),bind(X_24,$fot(X_1434)),bind(X_25,$fot(equivalent(X_1432,X_1433))),bind(X_26,$fot(X_1430))]]) ).
cnf(refute_0_17,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),X_75),X_75)),
inference(subst,[],[lg_3:[bind(V,$fot(X_75))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(equivalent(X_16,X_17))
| ~ is_a_theorem(equivalent(equivalent(X_16,X_17),equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),X_16),equivalent(equivalent(X_19,X_20),X_17))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),X_16),equivalent(equivalent(X_19,X_20),X_17))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_16,X_17))),bind(Y,$fot(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),X_16),equivalent(equivalent(X_19,X_20),X_17))))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(equivalent(equivalent(X_16,X_17),equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),X_16),equivalent(equivalent(X_19,X_20),X_17)))),
inference(subst,[],[refute_0_11:[bind(X_13,$fot(X_16)),bind(X_14,$fot(X_17)),bind(X_4,$fot(X_18)),bind(X_5,$fot(X_19)),bind(X_6,$fot(X_20))]]) ).
cnf(refute_0_20,plain,
( ~ is_a_theorem(equivalent(X_16,X_17))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),X_16),equivalent(equivalent(X_19,X_20),X_17))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_16,X_17),equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(X_18,X_20)),X_16),equivalent(equivalent(X_19,X_20),X_17)))) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),X_75),X_75))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_76,X_77),equivalent(X_76,X_78)),equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),X_75)),equivalent(equivalent(X_77,X_78),X_75))) ),
inference(subst,[],[refute_0_20:[bind(X_16,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),X_75))),bind(X_17,$fot(X_75)),bind(X_18,$fot(X_76)),bind(X_19,$fot(X_77)),bind(X_20,$fot(X_78))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_76,X_77),equivalent(X_76,X_78)),equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),X_75)),equivalent(equivalent(X_77,X_78),X_75))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),X_75),X_75)) )],[refute_0_17,refute_0_21]) ).
cnf(refute_0_23,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_1430)),equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_27))),equivalent(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_1430)),X_1434)),equivalent(equivalent(equivalent(equivalent(X_1432,X_1433),X_1430),equivalent(equivalent(X_1432,X_1433),X_27)),X_1434))),
inference(subst,[],[refute_0_22:[bind(U,$fot(X_1430)),bind(X,$fot(X_1431)),bind(Y,$fot(X_1432)),bind(Z,$fot(X_1433)),bind(X_75,$fot(X_1434)),bind(X_76,$fot(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430))),bind(X_77,$fot(equivalent(equivalent(X_1432,X_1433),X_1430))),bind(X_78,$fot(equivalent(equivalent(X_1432,X_1433),X_27)))]]) ).
cnf(refute_0_24,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_27)),X_1434),equivalent(equivalent(X_1430,X_27),X_1434))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_1430)),equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_27))),equivalent(equivalent(equivalent(equivalent(equivalent(X_1431,X_1432),equivalent(X_1431,X_1433)),X_1430),equivalent(equivalent(X_1432,X_1433),X_1430)),X_1434)),equivalent(equivalent(equivalent(equivalent(X_1432,X_1433),X_1430),equivalent(equivalent(X_1432,X_1433),X_27)),X_1434))) )],[refute_0_23,refute_0_16]) ).
cnf(refute_0_25,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),equivalent(X_1439,X_1441)),equivalent(equivalent(X_1439,X_1440),X_6)),equivalent(equivalent(X_1440,X_1441),X_1443)),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443))),equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),X_6),X_1443),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443))))),
inference(subst,[],[refute_0_24:[bind(X_1430,$fot(equivalent(equivalent(X_1439,X_1440),X_6))),bind(X_1431,$fot(X_1439)),bind(X_1432,$fot(X_1440)),bind(X_1433,$fot(X_1441)),bind(X_1434,$fot(equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443)))),bind(X_27,$fot(X_1443))]]) ).
cnf(refute_0_26,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),X_6),X_1443),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),equivalent(X_1439,X_1441)),equivalent(equivalent(X_1439,X_1440),X_6)),equivalent(equivalent(X_1440,X_1441),X_1443)),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443))),equivalent(equivalent(equivalent(equivalent(X_1439,X_1440),X_6),X_1443),equivalent(equivalent(equivalent(X_1439,X_1441),X_6),equivalent(equivalent(X_1440,X_1441),X_1443))))) )],[refute_0_25,refute_0_3]) ).
cnf(refute_0_27,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
inference(subst,[],[refute_0_26:[bind(X_1439,$fot(a)),bind(X_1440,$fot(b)),bind(X_1441,$fot(falsehood)),bind(X_1443,$fot(e)),bind(X_6,$fot(c))]]) ).
cnf(refute_0_28,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))) )],[refute_0_27,prove_lg_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n014.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 : Mon Jul 4 20:59:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.67/0.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.85
% 0.67/0.85 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.67/0.86
%------------------------------------------------------------------------------