TSTP Solution File: LCL101-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 12:49:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of clauses : 47 ( 28 unt; 0 nHn; 19 RR)
% Number of literals : 71 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 175 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(lg_2,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) ).
cnf(p_4,axiom,
is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X))) ).
cnf(prove_p_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(equivalent(equivalent(X_24,X_25),equivalent(X_24,X_26)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_24,X_26)),equivalent(X_25,X_26)))
| is_a_theorem(equivalent(X_25,X_26)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_24,X_25),equivalent(X_24,X_26)))),bind(Y,$fot(equivalent(X_25,X_26)))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),X_2))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),X_2),X_2))
| is_a_theorem(X_2) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),X_2))),bind(Y,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),X_2),X_2)),
inference(subst,[],[lg_2:[bind(U,$fot(X_2)),bind(X,$fot(X_3)),bind(Y,$fot(X_4)),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),X_2))
| is_a_theorem(X_2) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),X_2),X_2)) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_19,X_20),equivalent(X_19,X_18)),equivalent(X_20,X_18)),equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_23)),equivalent(X_22,X_23))))
| is_a_theorem(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_23)),equivalent(X_22,X_23))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_23)),equivalent(X_22,X_23)))),bind(X_3,$fot(X_19)),bind(X_4,$fot(X_20)),bind(X_5,$fot(X_18))]]) ).
cnf(refute_0_5,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13)),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13))))),
inference(subst,[],[p_4:[bind(X,$fot(equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13))))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13)),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13))))),bind(X_3,$fot(X_11)),bind(X_4,$fot(X_12)),bind(X_5,$fot(X_13))]]) ).
cnf(refute_0_7,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13)),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(X_11,X_12),equivalent(X_11,X_13)),equivalent(X_12,X_13))))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_19,X_20),equivalent(X_19,X_18)),equivalent(X_20,X_18)),equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_23)),equivalent(X_22,X_23)))),
inference(subst,[],[refute_0_7:[bind(U,$fot(X_18)),bind(Y,$fot(X_19)),bind(Z,$fot(X_20)),bind(X_11,$fot(X_21)),bind(X_12,$fot(X_22)),bind(X_13,$fot(X_23))]]) ).
cnf(refute_0_9,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_23)),equivalent(X_22,X_23))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_19,X_20),equivalent(X_19,X_18)),equivalent(X_20,X_18)),equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_23)),equivalent(X_22,X_23)))) )],[refute_0_8,refute_0_4]) ).
cnf(refute_0_10,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_24,X_26)),equivalent(X_25,X_26))),
inference(subst,[],[refute_0_9:[bind(X_21,$fot(X_24)),bind(X_22,$fot(X_25)),bind(X_23,$fot(X_26))]]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(equivalent(equivalent(X_24,X_25),equivalent(X_24,X_26)))
| is_a_theorem(equivalent(X_25,X_26)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_24,X_25),equivalent(X_24,X_26)),equivalent(X_25,X_26))) )],[refute_0_10,refute_0_0]) ).
cnf(refute_0_12,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)),equivalent(X_61,X_59)),equivalent(equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)),equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59))))))
| is_a_theorem(equivalent(equivalent(X_61,X_59),equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59))))) ),
inference(subst,[],[refute_0_11:[bind(X_24,$fot(equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)))),bind(X_25,$fot(equivalent(X_61,X_59))),bind(X_26,$fot(equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)))))]]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(X_7)
| ~ is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_8,X_6)),equivalent(X_9,X_6)),X_7)))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_8,X_6)),equivalent(X_9,X_6)),X_7)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_7)),bind(Y,$fot(equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_8,X_6)),equivalent(X_9,X_6)),X_7)))]]) ).
cnf(refute_0_14,plain,
is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_8,X_6)),equivalent(X_9,X_6)),X_7))),
inference(subst,[],[p_4:[bind(U,$fot(X_6)),bind(X,$fot(X_7)),bind(Y,$fot(X_8)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(X_7)
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_8,X_6)),equivalent(X_9,X_6)),X_7)) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_8,X_6)),equivalent(X_9,X_6)),X_7))) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X)))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_16,X_17),equivalent(X_16,X_14)),equivalent(X_17,X_14)),equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X)))) ),
inference(subst,[],[refute_0_15:[bind(X_6,$fot(X_14)),bind(X_7,$fot(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X)))),bind(X_8,$fot(X_16)),bind(X_9,$fot(X_17))]]) ).
cnf(refute_0_17,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_16,X_17),equivalent(X_16,X_14)),equivalent(X_17,X_14)),equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X))) )],[p_4,refute_0_16]) ).
cnf(refute_0_18,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)),equivalent(X_61,X_59)),equivalent(equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)),equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)))))),
inference(subst,[],[refute_0_17:[bind(U,$fot(X_55)),bind(X,$fot(equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)))),bind(Y,$fot(X_57)),bind(Z,$fot(X_58)),bind(X_14,$fot(X_59)),bind(X_16,$fot(X_60)),bind(X_17,$fot(X_61))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(equivalent(equivalent(X_61,X_59),equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59))))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)),equivalent(X_61,X_59)),equivalent(equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)),equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(X_60,X_61),equivalent(X_60,X_59)))))) )],[refute_0_18,refute_0_12]) ).
cnf(refute_0_20,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_57,X_55),X_59),equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(equivalent(X_57,X_58),X_59))))),
inference(subst,[],[refute_0_19:[bind(X_60,$fot(equivalent(X_57,X_58))),bind(X_61,$fot(equivalent(X_57,X_55)))]]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(equivalent(X_63,equivalent(equivalent(X_62,X_64),equivalent(X_62,X_65))))
| ~ is_a_theorem(equivalent(equivalent(X_63,equivalent(equivalent(X_62,X_64),equivalent(X_62,X_65))),equivalent(X_63,equivalent(X_64,X_65))))
| is_a_theorem(equivalent(X_63,equivalent(X_64,X_65))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_63,equivalent(equivalent(X_62,X_64),equivalent(X_62,X_65))))),bind(Y,$fot(equivalent(X_63,equivalent(X_64,X_65))))]]) ).
cnf(refute_0_22,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),equivalent(equivalent(X_38,equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5))),equivalent(X_38,equivalent(X_4,X_5)))))
| is_a_theorem(equivalent(equivalent(X_38,equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5))),equivalent(X_38,equivalent(X_4,X_5)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(equivalent(equivalent(X_38,equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5))),equivalent(X_38,equivalent(X_4,X_5)))))]]) ).
cnf(refute_0_23,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)),equivalent(X_36,X_34)),equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)),equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)))))
| is_a_theorem(equivalent(equivalent(X_36,X_34),equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)))) ),
inference(subst,[],[refute_0_11:[bind(X_24,$fot(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)))),bind(X_25,$fot(equivalent(X_36,X_34))),bind(X_26,$fot(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))))]]) ).
cnf(refute_0_24,plain,
( ~ is_a_theorem(equivalent(X_32,X_32))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_8,X_6)),equivalent(X_9,X_6)),equivalent(X_32,X_32))) ),
inference(subst,[],[refute_0_15:[bind(X_7,$fot(equivalent(X_32,X_32)))]]) ).
cnf(refute_0_25,plain,
( ~ is_a_theorem(equivalent(equivalent(X_31,X_30),equivalent(X_31,X_30)))
| is_a_theorem(equivalent(X_30,X_30)) ),
inference(subst,[],[refute_0_11:[bind(X_24,$fot(X_31)),bind(X_25,$fot(X_30)),bind(X_26,$fot(X_30))]]) ).
cnf(refute_0_26,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)))),
inference(subst,[],[refute_0_7:[bind(X_11,$fot(Y)),bind(X_12,$fot(Z)),bind(X_13,$fot(U))]]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U))))
| is_a_theorem(equivalent(equivalent(Z,U),equivalent(Z,U))) ),
inference(subst,[],[refute_0_11:[bind(X_24,$fot(equivalent(equivalent(Y,Z),equivalent(Y,U)))),bind(X_25,$fot(equivalent(Z,U))),bind(X_26,$fot(equivalent(Z,U)))]]) ).
cnf(refute_0_28,plain,
is_a_theorem(equivalent(equivalent(Z,U),equivalent(Z,U))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
is_a_theorem(equivalent(equivalent(X_31,X_30),equivalent(X_31,X_30))),
inference(subst,[],[refute_0_28:[bind(U,$fot(X_30)),bind(Z,$fot(X_31))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(equivalent(X_30,X_30)),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_31,X_30),equivalent(X_31,X_30))) )],[refute_0_29,refute_0_25]) ).
cnf(refute_0_31,plain,
is_a_theorem(equivalent(X_32,X_32)),
inference(subst,[],[refute_0_30:[bind(X_30,$fot(X_32))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,X_9),equivalent(X_8,X_6)),equivalent(X_9,X_6)),equivalent(X_32,X_32))),
inference(resolve,[$cnf( is_a_theorem(equivalent(X_32,X_32)) )],[refute_0_31,refute_0_24]) ).
cnf(refute_0_33,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)),equivalent(X_36,X_34)),equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)),equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))))),
inference(subst,[],[refute_0_32:[bind(X_32,$fot(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)))),bind(X_6,$fot(X_34)),bind(X_8,$fot(X_35)),bind(X_9,$fot(X_36))]]) ).
cnf(refute_0_34,plain,
is_a_theorem(equivalent(equivalent(X_36,X_34),equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)),equivalent(X_36,X_34)),equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)),equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))))) )],[refute_0_33,refute_0_23]) ).
cnf(refute_0_35,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),equivalent(equivalent(X_38,equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5))),equivalent(X_38,equivalent(X_4,X_5))))),
inference(subst,[],[refute_0_34:[bind(X_34,$fot(equivalent(X_4,X_5))),bind(X_35,$fot(X_38)),bind(X_36,$fot(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5))))]]) ).
cnf(refute_0_36,plain,
is_a_theorem(equivalent(equivalent(X_38,equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5))),equivalent(X_38,equivalent(X_4,X_5)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5)),equivalent(X_4,X_5)),equivalent(equivalent(X_38,equivalent(equivalent(X_3,X_4),equivalent(X_3,X_5))),equivalent(X_38,equivalent(X_4,X_5))))) )],[refute_0_35,refute_0_22]) ).
cnf(refute_0_37,plain,
is_a_theorem(equivalent(equivalent(X_63,equivalent(equivalent(X_62,X_64),equivalent(X_62,X_65))),equivalent(X_63,equivalent(X_64,X_65)))),
inference(subst,[],[refute_0_36:[bind(X_3,$fot(X_62)),bind(X_38,$fot(X_63)),bind(X_4,$fot(X_64)),bind(X_5,$fot(X_65))]]) ).
cnf(refute_0_38,plain,
( ~ is_a_theorem(equivalent(X_63,equivalent(equivalent(X_62,X_64),equivalent(X_62,X_65))))
| is_a_theorem(equivalent(X_63,equivalent(X_64,X_65))) ),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_63,equivalent(equivalent(X_62,X_64),equivalent(X_62,X_65))),equivalent(X_63,equivalent(X_64,X_65)))) )],[refute_0_37,refute_0_21]) ).
cnf(refute_0_39,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X_57,X_55),X_59),equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(equivalent(X_57,X_58),X_59)))))
| is_a_theorem(equivalent(equivalent(equivalent(X_57,X_55),X_59),equivalent(equivalent(X_58,X_55),equivalent(equivalent(X_57,X_58),X_59)))) ),
inference(subst,[],[refute_0_38:[bind(X_62,$fot(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)))),bind(X_63,$fot(equivalent(equivalent(X_57,X_55),X_59))),bind(X_64,$fot(equivalent(X_58,X_55))),bind(X_65,$fot(equivalent(equivalent(X_57,X_58),X_59)))]]) ).
cnf(refute_0_40,plain,
is_a_theorem(equivalent(equivalent(equivalent(X_57,X_55),X_59),equivalent(equivalent(X_58,X_55),equivalent(equivalent(X_57,X_58),X_59)))),
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_57,X_55),X_59),equivalent(equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(X_58,X_55)),equivalent(equivalent(equivalent(X_57,X_58),equivalent(X_57,X_55)),equivalent(equivalent(X_57,X_58),X_59))))) )],[refute_0_20,refute_0_39]) ).
cnf(refute_0_41,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(subst,[],[refute_0_40:[bind(X_55,$fot(b)),bind(X_57,$fot(a)),bind(X_58,$fot(e)),bind(X_59,$fot(c))]]) ).
cnf(refute_0_42,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) )],[refute_0_41,prove_p_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL101-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 23:37:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48
% 0.19/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.49
%------------------------------------------------------------------------------