TSTP Solution File: LCL366-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:51:45 EDT 2022
% Result : Unsatisfiable 1.16s 1.33s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of clauses : 73 ( 42 unt; 0 nHn; 23 RR)
% Number of literals : 112 ( 0 equ; 40 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 188 ( 32 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))) ).
cnf(prove_cn_15,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(implies(implies(X_62,X_63),implies(X_61,X_63)),X_64))
| ~ is_a_theorem(implies(implies(implies(implies(X_62,X_63),implies(X_61,X_63)),X_64),implies(implies(X_61,X_62),X_64)))
| is_a_theorem(implies(implies(X_61,X_62),X_64)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_62,X_63),implies(X_61,X_63)),X_64))),bind(Y,$fot(implies(implies(X_61,X_62),X_64)))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z))))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_25),implies(implies(X,Y),X_25))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z)))),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_4,plain,
is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_25),implies(implies(X,Y),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_3]) ).
cnf(refute_0_5,plain,
is_a_theorem(implies(implies(implies(implies(X_62,X_63),implies(X_61,X_63)),X_64),implies(implies(X_61,X_62),X_64))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_61)),bind(Y,$fot(X_62)),bind(Z,$fot(X_63)),bind(X_25,$fot(X_64))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(implies(implies(implies(X_62,X_63),implies(X_61,X_63)),X_64))
| is_a_theorem(implies(implies(X_61,X_62),X_64)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_62,X_63),implies(X_61,X_63)),X_64),implies(implies(X_61,X_62),X_64))) )],[refute_0_5,refute_0_0]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(implies(X_62,X_1905),implies(not(X_1905),X_1905)),implies(implies(X_62,X_1905),X_1905)))
| is_a_theorem(implies(implies(not(X_1905),X_62),implies(implies(X_62,X_1905),X_1905))) ),
inference(subst,[],[refute_0_6:[bind(X_61,$fot(not(X_1905))),bind(X_63,$fot(X_1905)),bind(X_64,$fot(implies(implies(X_62,X_1905),X_1905)))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_1900),X_1900),X_1900),implies(X_61,X_1900)),implies(X_61,X_1900)))
| is_a_theorem(implies(implies(X_61,implies(not(X_1900),X_1900)),implies(X_61,X_1900))) ),
inference(subst,[],[refute_0_6:[bind(X_62,$fot(implies(not(X_1900),X_1900))),bind(X_63,$fot(X_1900)),bind(X_64,$fot(implies(X_61,X_1900)))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_50),X_50),X_51),X_49),implies(implies(X_50,X_51),X_49)))
| ~ is_a_theorem(implies(implies(implies(not(X_50),X_50),X_51),X_49))
| is_a_theorem(implies(implies(X_50,X_51),X_49)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(not(X_50),X_50),X_51),X_49))),bind(Y,$fot(implies(implies(X_50,X_51),X_49)))]]) ).
cnf(refute_0_10,plain,
( ~ is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27)))
| is_a_theorem(implies(implies(implies(implies(not(X_26),X_26),X_27),Z),implies(implies(X_26,X_27),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(X_26,X_27))),bind(Y,$fot(implies(implies(not(X_26),X_26),X_27)))]]) ).
cnf(refute_0_11,plain,
is_a_theorem(implies(implies(not(X_24),X_24),X_24)),
inference(subst,[],[cn_2:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_12,plain,
( ~ is_a_theorem(implies(implies(not(X_24),X_24),X_24))
| is_a_theorem(implies(implies(X_24,X_25),implies(implies(not(X_24),X_24),X_25))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(not(X_24),X_24))),bind(Y,$fot(X_24)),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_13,plain,
is_a_theorem(implies(implies(X_24,X_25),implies(implies(not(X_24),X_24),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_24),X_24),X_24)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))),
inference(subst,[],[refute_0_13:[bind(X_24,$fot(X_26)),bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(implies(implies(implies(not(X_26),X_26),X_27),Z),implies(implies(X_26,X_27),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))) )],[refute_0_14,refute_0_10]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(implies(implies(implies(not(X_50),X_50),X_51),X_49),implies(implies(X_50,X_51),X_49))),
inference(subst,[],[refute_0_15:[bind(Z,$fot(X_49)),bind(X_26,$fot(X_50)),bind(X_27,$fot(X_51))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_50),X_50),X_51),X_49))
| is_a_theorem(implies(implies(X_50,X_51),X_49)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_50),X_50),X_51),X_49),implies(implies(X_50,X_51),X_49))) )],[refute_0_16,refute_0_9]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(X_1897),X_1897),X_1897)),implies(implies(not(X_1897),X_1897),X_1897)),X_1899),X_1899))
| is_a_theorem(implies(implies(implies(implies(not(X_1897),X_1897),X_1897),X_1899),X_1899)) ),
inference(subst,[],[refute_0_17:[bind(X_49,$fot(X_1899)),bind(X_50,$fot(implies(implies(not(X_1897),X_1897),X_1897))),bind(X_51,$fot(X_1899))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(implies(not(X_7),X_7),X_7)),
inference(subst,[],[cn_2:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_20,plain,
( ~ is_a_theorem(implies(implies(not(X_7),X_7),X_7))
| ~ is_a_theorem(implies(not(X_7),X_7))
| is_a_theorem(X_7) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(not(X_7),X_7))),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(implies(not(X_7),X_7))
| is_a_theorem(X_7) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_7),X_7),X_7)) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ is_a_theorem(implies(not(implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358)),implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358)))
| is_a_theorem(implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358)) ),
inference(subst,[],[refute_0_21:[bind(X_7,$fot(implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358)))]]) ).
cnf(refute_0_23,plain,
is_a_theorem(implies(X_6,implies(not(X_6),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_24,plain,
( ~ is_a_theorem(X_6)
| ~ is_a_theorem(implies(X_6,implies(not(X_6),Y)))
| is_a_theorem(implies(not(X_6),Y)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_6)),bind(Y,$fot(implies(not(X_6),Y)))]]) ).
cnf(refute_0_25,plain,
( ~ is_a_theorem(X_6)
| is_a_theorem(implies(not(X_6),Y)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_6,implies(not(X_6),Y))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ is_a_theorem(implies(implies(not(X),X),X))
| is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)) ),
inference(subst,[],[refute_0_25:[bind(Y,$fot(X_9)),bind(X_6,$fot(implies(implies(not(X),X),X)))]]) ).
cnf(refute_0_27,plain,
is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),X),X)) )],[cn_2,refute_0_26]) ).
cnf(refute_0_28,plain,
is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24)),
inference(subst,[],[refute_0_27:[bind(X_9,$fot(X_24))]]) ).
cnf(refute_0_29,plain,
( ~ is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24))
| is_a_theorem(implies(implies(X_24,X_25),implies(not(implies(implies(not(X),X),X)),X_25))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(not(implies(implies(not(X),X),X)))),bind(Y,$fot(X_24)),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(implies(X_24,X_25),implies(not(implies(implies(not(X),X),X)),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
is_a_theorem(implies(implies(not(X_104),X_103),implies(not(implies(implies(not(X),X),X)),X_103))),
inference(subst,[],[refute_0_30:[bind(X_24,$fot(not(X_104))),bind(X_25,$fot(X_103))]]) ).
cnf(refute_0_32,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_39),X_38),X_40),implies(X_39,X_40)))
| ~ is_a_theorem(implies(implies(not(X_39),X_38),X_40))
| is_a_theorem(implies(X_39,X_40)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(X_39),X_38),X_40))),bind(Y,$fot(implies(X_39,X_40)))]]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(X_23,implies(not(X_23),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_23))]]) ).
cnf(refute_0_34,plain,
( ~ is_a_theorem(implies(X_23,implies(not(X_23),Y)))
| is_a_theorem(implies(implies(implies(not(X_23),Y),X_25),implies(X_23,X_25))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_23)),bind(Y,$fot(implies(not(X_23),Y))),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_35,plain,
is_a_theorem(implies(implies(implies(not(X_23),Y),X_25),implies(X_23,X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(X_23,implies(not(X_23),Y))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(implies(implies(not(X_39),X_38),X_40),implies(X_39,X_40))),
inference(subst,[],[refute_0_35:[bind(Y,$fot(X_38)),bind(X_23,$fot(X_39)),bind(X_25,$fot(X_40))]]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(implies(implies(not(X_39),X_38),X_40))
| is_a_theorem(implies(X_39,X_40)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_39),X_38),X_40),implies(X_39,X_40))) )],[refute_0_36,refute_0_32]) ).
cnf(refute_0_38,plain,
( ~ is_a_theorem(implies(implies(not(X_104),X_103),implies(not(implies(implies(not(X),X),X)),X_103)))
| is_a_theorem(implies(X_104,implies(not(implies(implies(not(X),X),X)),X_103))) ),
inference(subst,[],[refute_0_37:[bind(X_38,$fot(X_103)),bind(X_39,$fot(X_104)),bind(X_40,$fot(implies(not(implies(implies(not(X),X),X)),X_103)))]]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(X_104,implies(not(implies(implies(not(X),X),X)),X_103))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_104),X_103),implies(not(implies(implies(not(X),X),X)),X_103))) )],[refute_0_31,refute_0_38]) ).
cnf(refute_0_40,plain,
is_a_theorem(implies(not(X_1304),implies(not(implies(implies(not(X),X),X)),X_103))),
inference(subst,[],[refute_0_39:[bind(X_104,$fot(not(X_1304)))]]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(implies(implies(not(X_1162),X_1164),implies(X_1163,implies(implies(X_1164,X_1162),X_1162))))
| ~ is_a_theorem(implies(not(X_1162),X_1164))
| is_a_theorem(implies(X_1163,implies(implies(X_1164,X_1162),X_1162))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(not(X_1162),X_1164))),bind(Y,$fot(implies(X_1163,implies(implies(X_1164,X_1162),X_1162))))]]) ).
cnf(refute_0_42,plain,
( ~ is_a_theorem(implies(implies(implies(X_62,X_1061),implies(not(X_1061),X_1061)),implies(X_1062,implies(implies(X_62,X_1061),X_1061))))
| is_a_theorem(implies(implies(not(X_1061),X_62),implies(X_1062,implies(implies(X_62,X_1061),X_1061)))) ),
inference(subst,[],[refute_0_6:[bind(X_61,$fot(not(X_1061))),bind(X_63,$fot(X_1061)),bind(X_64,$fot(implies(X_1062,implies(implies(X_62,X_1061),X_1061))))]]) ).
cnf(refute_0_43,plain,
( ~ is_a_theorem(implies(X_116,implies(not(implies(implies(not(X_114),X_114),X_114)),X_115)))
| is_a_theorem(implies(implies(implies(not(implies(implies(not(X_114),X_114),X_114)),X_115),Z),implies(X_116,Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_116)),bind(Y,$fot(implies(not(implies(implies(not(X_114),X_114),X_114)),X_115)))]]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(X_116,implies(not(implies(implies(not(X_114),X_114),X_114)),X_115))),
inference(subst,[],[refute_0_39:[bind(X,$fot(X_114)),bind(X_103,$fot(X_115)),bind(X_104,$fot(X_116))]]) ).
cnf(refute_0_45,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_114),X_114),X_114)),X_115),Z),implies(X_116,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_116,implies(not(implies(implies(not(X_114),X_114),X_114)),X_115))) )],[refute_0_44,refute_0_43]) ).
cnf(refute_0_46,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_114),X_114),X_114)),implies(implies(not(X_114),X_114),X_114)),X_507),implies(X_116,X_507))),
inference(subst,[],[refute_0_45:[bind(Z,$fot(X_507)),bind(X_115,$fot(implies(implies(not(X_114),X_114),X_114)))]]) ).
cnf(refute_0_47,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(X_114),X_114),X_114)),implies(implies(not(X_114),X_114),X_114)),X_507),implies(X_116,X_507)))
| is_a_theorem(implies(implies(implies(implies(not(X_114),X_114),X_114),X_507),implies(X_116,X_507))) ),
inference(subst,[],[refute_0_17:[bind(X_49,$fot(implies(X_116,X_507))),bind(X_50,$fot(implies(implies(not(X_114),X_114),X_114))),bind(X_51,$fot(X_507))]]) ).
cnf(refute_0_48,plain,
is_a_theorem(implies(implies(implies(implies(not(X_114),X_114),X_114),X_507),implies(X_116,X_507))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(implies(not(X_114),X_114),X_114)),implies(implies(not(X_114),X_114),X_114)),X_507),implies(X_116,X_507))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
is_a_theorem(implies(implies(implies(implies(not(X_1034),X_1034),X_1034),implies(X_1032,X_1034)),implies(X_116,implies(X_1032,X_1034)))),
inference(subst,[],[refute_0_48:[bind(X_114,$fot(X_1034)),bind(X_507,$fot(implies(X_1032,X_1034)))]]) ).
cnf(refute_0_50,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_1034),X_1034),X_1034),implies(X_1032,X_1034)),implies(X_116,implies(X_1032,X_1034))))
| is_a_theorem(implies(implies(X_1032,implies(not(X_1034),X_1034)),implies(X_116,implies(X_1032,X_1034)))) ),
inference(subst,[],[refute_0_6:[bind(X_61,$fot(X_1032)),bind(X_62,$fot(implies(not(X_1034),X_1034))),bind(X_63,$fot(X_1034)),bind(X_64,$fot(implies(X_116,implies(X_1032,X_1034))))]]) ).
cnf(refute_0_51,plain,
is_a_theorem(implies(implies(X_1032,implies(not(X_1034),X_1034)),implies(X_116,implies(X_1032,X_1034)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_1034),X_1034),X_1034),implies(X_1032,X_1034)),implies(X_116,implies(X_1032,X_1034)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(implies(implies(X_62,X_1061),implies(not(X_1061),X_1061)),implies(X_1062,implies(implies(X_62,X_1061),X_1061)))),
inference(subst,[],[refute_0_51:[bind(X_1032,$fot(implies(X_62,X_1061))),bind(X_1034,$fot(X_1061)),bind(X_116,$fot(X_1062))]]) ).
cnf(refute_0_53,plain,
is_a_theorem(implies(implies(not(X_1061),X_62),implies(X_1062,implies(implies(X_62,X_1061),X_1061)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_62,X_1061),implies(not(X_1061),X_1061)),implies(X_1062,implies(implies(X_62,X_1061),X_1061)))) )],[refute_0_52,refute_0_42]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(implies(not(X_1162),X_1164),implies(X_1163,implies(implies(X_1164,X_1162),X_1162)))),
inference(subst,[],[refute_0_53:[bind(X_1061,$fot(X_1162)),bind(X_1062,$fot(X_1163)),bind(X_62,$fot(X_1164))]]) ).
cnf(refute_0_55,plain,
( ~ is_a_theorem(implies(not(X_1162),X_1164))
| is_a_theorem(implies(X_1163,implies(implies(X_1164,X_1162),X_1162))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_1162),X_1164),implies(X_1163,implies(implies(X_1164,X_1162),X_1162)))) )],[refute_0_54,refute_0_41]) ).
cnf(refute_0_56,plain,
( ~ is_a_theorem(implies(not(X_1304),implies(not(implies(implies(not(X),X),X)),X_103)))
| is_a_theorem(implies(X_1305,implies(implies(implies(not(implies(implies(not(X),X),X)),X_103),X_1304),X_1304))) ),
inference(subst,[],[refute_0_55:[bind(X_1162,$fot(X_1304)),bind(X_1163,$fot(X_1305)),bind(X_1164,$fot(implies(not(implies(implies(not(X),X),X)),X_103)))]]) ).
cnf(refute_0_57,plain,
is_a_theorem(implies(X_1305,implies(implies(implies(not(implies(implies(not(X),X),X)),X_103),X_1304),X_1304))),
inference(resolve,[$cnf( is_a_theorem(implies(not(X_1304),implies(not(implies(implies(not(X),X),X)),X_103))) )],[refute_0_40,refute_0_56]) ).
cnf(refute_0_58,plain,
is_a_theorem(implies(not(implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358)),implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358))),
inference(subst,[],[refute_0_57:[bind(X,$fot(X_1356)),bind(X_103,$fot(X_1357)),bind(X_1304,$fot(X_1358)),bind(X_1305,$fot(not(implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358))))]]) ).
cnf(refute_0_59,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358)),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358)),implies(implies(implies(not(implies(implies(not(X_1356),X_1356),X_1356)),X_1357),X_1358),X_1358))) )],[refute_0_58,refute_0_22]) ).
cnf(refute_0_60,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_1897),X_1897),X_1897)),implies(implies(not(X_1897),X_1897),X_1897)),X_1899),X_1899)),
inference(subst,[],[refute_0_59:[bind(X_1356,$fot(X_1897)),bind(X_1357,$fot(implies(implies(not(X_1897),X_1897),X_1897))),bind(X_1358,$fot(X_1899))]]) ).
cnf(refute_0_61,plain,
is_a_theorem(implies(implies(implies(implies(not(X_1897),X_1897),X_1897),X_1899),X_1899)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(implies(not(X_1897),X_1897),X_1897)),implies(implies(not(X_1897),X_1897),X_1897)),X_1899),X_1899)) )],[refute_0_60,refute_0_18]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(implies(implies(implies(not(X_1900),X_1900),X_1900),implies(X_61,X_1900)),implies(X_61,X_1900))),
inference(subst,[],[refute_0_61:[bind(X_1897,$fot(X_1900)),bind(X_1899,$fot(implies(X_61,X_1900)))]]) ).
cnf(refute_0_63,plain,
is_a_theorem(implies(implies(X_61,implies(not(X_1900),X_1900)),implies(X_61,X_1900))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_1900),X_1900),X_1900),implies(X_61,X_1900)),implies(X_61,X_1900))) )],[refute_0_62,refute_0_8]) ).
cnf(refute_0_64,plain,
is_a_theorem(implies(implies(implies(X_62,X_1905),implies(not(X_1905),X_1905)),implies(implies(X_62,X_1905),X_1905))),
inference(subst,[],[refute_0_63:[bind(X_1900,$fot(X_1905)),bind(X_61,$fot(implies(X_62,X_1905)))]]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(implies(not(X_1905),X_62),implies(implies(X_62,X_1905),X_1905))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_62,X_1905),implies(not(X_1905),X_1905)),implies(implies(X_62,X_1905),X_1905))) )],[refute_0_64,refute_0_7]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))),
inference(subst,[],[refute_0_65:[bind(X_1905,$fot(x)),bind(X_62,$fot(y))]]) ).
cnf(refute_0_67,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(x),y),implies(implies(y,x),x))) )],[refute_0_66,prove_cn_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL366-1 : TPTP v8.1.0. Bugfixed v5.5.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 12:20:00 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.16/1.33 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.16/1.33
% 1.16/1.33 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.16/1.34
%------------------------------------------------------------------------------