TSTP Solution File: LCL380-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL380-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 12:51:50 EDT 2022
% Result : Unsatisfiable 12.95s 13.16s
% Output : CNFRefutation 12.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 5
% Syntax : Number of clauses : 141 ( 84 unt; 0 nHn; 37 RR)
% Number of literals : 209 ( 0 equ; 69 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 346 ( 62 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_41,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))) ).
cnf(refute_0_0,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_1,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(not(not(X_5270)),X_5270))
| is_a_theorem(implies(implies(X_5270,Z),implies(not(not(X_5270)),Z))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(not(not(X_5270)))),bind(Y,$fot(X_5270))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(X_1869,implies(not(X_1870),X_1870)))
| ~ is_a_theorem(implies(implies(X_1869,implies(not(X_1870),X_1870)),implies(X_1869,X_1870)))
| is_a_theorem(implies(X_1869,X_1870)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_1869,implies(not(X_1870),X_1870)))),bind(Y,$fot(implies(X_1869,X_1870)))]]) ).
cnf(refute_0_4,plain,
is_a_theorem(implies(implies(not(X_7),X_7),X_7)),
inference(subst,[],[cn_2:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_5,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_6,plain,
( ~ is_a_theorem(implies(not(X_7),X_7))
| is_a_theorem(X_7) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_7),X_7),X_7)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(not(implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241)),implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241)))
| is_a_theorem(implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241)) ),
inference(subst,[],[refute_0_6:[bind(X_7,$fot(implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241)))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_36),X_36),X_37),X_35),implies(implies(X_36,X_37),X_35)))
| ~ is_a_theorem(implies(implies(implies(not(X_36),X_36),X_37),X_35))
| is_a_theorem(implies(implies(X_36,X_37),X_35)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(not(X_36),X_36),X_37),X_35))),bind(Y,$fot(implies(implies(X_36,X_37),X_35)))]]) ).
cnf(refute_0_9,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_1:[bind(X,$fot(implies(X_26,X_27))),bind(Y,$fot(implies(implies(not(X_26),X_26),X_27)))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(implies(implies(not(X_24),X_24),X_24)),
inference(subst,[],[cn_2:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(implies(implies(not(X_24),X_24),X_24))
| is_a_theorem(implies(implies(X_24,X_25),implies(implies(not(X_24),X_24),X_25))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(not(X_24),X_24))),bind(Y,$fot(X_24)),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(X_24,X_25),implies(implies(not(X_24),X_24),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_24),X_24),X_24)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))),
inference(subst,[],[refute_0_12:[bind(X_24,$fot(X_26)),bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_14,plain,
is_a_theorem(implies(implies(implies(implies(not(X_26),X_26),X_27),Z),implies(implies(X_26,X_27),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))) )],[refute_0_13,refute_0_9]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(implies(implies(implies(not(X_36),X_36),X_37),X_35),implies(implies(X_36,X_37),X_35))),
inference(subst,[],[refute_0_14:[bind(Z,$fot(X_35)),bind(X_26,$fot(X_36)),bind(X_27,$fot(X_37))]]) ).
cnf(refute_0_16,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_36),X_36),X_37),X_35))
| is_a_theorem(implies(implies(X_36,X_37),X_35)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_36),X_36),X_37),X_35),implies(implies(X_36,X_37),X_35))) )],[refute_0_15,refute_0_8]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_701),X_701),X_698),implies(implies(implies(implies(not(X_699),X_699),X_699),X_701),X_698)))
| is_a_theorem(implies(implies(X_701,X_698),implies(implies(implies(implies(not(X_699),X_699),X_699),X_701),X_698))) ),
inference(subst,[],[refute_0_16:[bind(X_35,$fot(implies(implies(implies(implies(not(X_699),X_699),X_699),X_701),X_698))),bind(X_36,$fot(X_701)),bind(X_37,$fot(X_698))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_675),X_675),X_675),X_677),implies(X_676,X_677)))
| is_a_theorem(implies(implies(implies(X_676,X_677),Z),implies(implies(implies(implies(not(X_675),X_675),X_675),X_677),Z))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(implies(implies(not(X_675),X_675),X_675),X_677))),bind(Y,$fot(implies(X_676,X_677)))]]) ).
cnf(refute_0_19,plain,
( ~ is_a_theorem(implies(X_186,implies(not(implies(implies(not(X_184),X_184),X_184)),X_185)))
| is_a_theorem(implies(implies(implies(not(implies(implies(not(X_184),X_184),X_184)),X_185),Z),implies(X_186,Z))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_186)),bind(Y,$fot(implies(not(implies(implies(not(X_184),X_184),X_184)),X_185)))]]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(X_6,implies(not(X_6),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_21,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_22,plain,
( ~ is_a_theorem(X_6)
| is_a_theorem(implies(not(X_6),Y)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_6,implies(not(X_6),Y))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ is_a_theorem(implies(implies(not(X),X),X))
| is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)) ),
inference(subst,[],[refute_0_22:[bind(Y,$fot(X_9)),bind(X_6,$fot(implies(implies(not(X),X),X)))]]) ).
cnf(refute_0_24,plain,
is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),X),X)) )],[cn_2,refute_0_23]) ).
cnf(refute_0_25,plain,
is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24)),
inference(subst,[],[refute_0_24:[bind(X_9,$fot(X_24))]]) ).
cnf(refute_0_26,plain,
( ~ is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24))
| is_a_theorem(implies(implies(X_24,X_25),implies(not(implies(implies(not(X),X),X)),X_25))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(not(implies(implies(not(X),X),X)))),bind(Y,$fot(X_24)),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_27,plain,
is_a_theorem(implies(implies(X_24,X_25),implies(not(implies(implies(not(X),X),X)),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
is_a_theorem(implies(implies(not(X_144),X_143),implies(not(implies(implies(not(X),X),X)),X_143))),
inference(subst,[],[refute_0_27:[bind(X_24,$fot(not(X_144))),bind(X_25,$fot(X_143))]]) ).
cnf(refute_0_29,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_33),X_32),X_34),implies(X_33,X_34)))
| ~ is_a_theorem(implies(implies(not(X_33),X_32),X_34))
| is_a_theorem(implies(X_33,X_34)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(X_33),X_32),X_34))),bind(Y,$fot(implies(X_33,X_34)))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(X_23,implies(not(X_23),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_23))]]) ).
cnf(refute_0_31,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_1:[bind(X,$fot(X_23)),bind(Y,$fot(implies(not(X_23),Y))),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(implies(implies(not(X_23),Y),X_25),implies(X_23,X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(X_23,implies(not(X_23),Y))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(implies(implies(not(X_33),X_32),X_34),implies(X_33,X_34))),
inference(subst,[],[refute_0_32:[bind(Y,$fot(X_32)),bind(X_23,$fot(X_33)),bind(X_25,$fot(X_34))]]) ).
cnf(refute_0_34,plain,
( ~ is_a_theorem(implies(implies(not(X_33),X_32),X_34))
| is_a_theorem(implies(X_33,X_34)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_33),X_32),X_34),implies(X_33,X_34))) )],[refute_0_33,refute_0_29]) ).
cnf(refute_0_35,plain,
( ~ is_a_theorem(implies(implies(not(X_144),X_143),implies(not(implies(implies(not(X),X),X)),X_143)))
| is_a_theorem(implies(X_144,implies(not(implies(implies(not(X),X),X)),X_143))) ),
inference(subst,[],[refute_0_34:[bind(X_32,$fot(X_143)),bind(X_33,$fot(X_144)),bind(X_34,$fot(implies(not(implies(implies(not(X),X),X)),X_143)))]]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(X_144,implies(not(implies(implies(not(X),X),X)),X_143))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_144),X_143),implies(not(implies(implies(not(X),X),X)),X_143))) )],[refute_0_28,refute_0_35]) ).
cnf(refute_0_37,plain,
is_a_theorem(implies(X_186,implies(not(implies(implies(not(X_184),X_184),X_184)),X_185))),
inference(subst,[],[refute_0_36:[bind(X,$fot(X_184)),bind(X_143,$fot(X_185)),bind(X_144,$fot(X_186))]]) ).
cnf(refute_0_38,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_184),X_184),X_184)),X_185),Z),implies(X_186,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_186,implies(not(implies(implies(not(X_184),X_184),X_184)),X_185))) )],[refute_0_37,refute_0_19]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_184),X_184),X_184)),implies(implies(not(X_184),X_184),X_184)),X_668),implies(X_186,X_668))),
inference(subst,[],[refute_0_38:[bind(Z,$fot(X_668)),bind(X_185,$fot(implies(implies(not(X_184),X_184),X_184)))]]) ).
cnf(refute_0_40,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(X_184),X_184),X_184)),implies(implies(not(X_184),X_184),X_184)),X_668),implies(X_186,X_668)))
| is_a_theorem(implies(implies(implies(implies(not(X_184),X_184),X_184),X_668),implies(X_186,X_668))) ),
inference(subst,[],[refute_0_16:[bind(X_35,$fot(implies(X_186,X_668))),bind(X_36,$fot(implies(implies(not(X_184),X_184),X_184))),bind(X_37,$fot(X_668))]]) ).
cnf(refute_0_41,plain,
is_a_theorem(implies(implies(implies(implies(not(X_184),X_184),X_184),X_668),implies(X_186,X_668))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(implies(not(X_184),X_184),X_184)),implies(implies(not(X_184),X_184),X_184)),X_668),implies(X_186,X_668))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
is_a_theorem(implies(implies(implies(implies(not(X_675),X_675),X_675),X_677),implies(X_676,X_677))),
inference(subst,[],[refute_0_41:[bind(X_184,$fot(X_675)),bind(X_186,$fot(X_676)),bind(X_668,$fot(X_677))]]) ).
cnf(refute_0_43,plain,
is_a_theorem(implies(implies(implies(X_676,X_677),Z),implies(implies(implies(implies(not(X_675),X_675),X_675),X_677),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_675),X_675),X_675),X_677),implies(X_676,X_677))) )],[refute_0_42,refute_0_18]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(implies(implies(not(X_701),X_701),X_698),implies(implies(implies(implies(not(X_699),X_699),X_699),X_701),X_698))),
inference(subst,[],[refute_0_43:[bind(Z,$fot(X_698)),bind(X_675,$fot(X_699)),bind(X_676,$fot(not(X_701))),bind(X_677,$fot(X_701))]]) ).
cnf(refute_0_45,plain,
is_a_theorem(implies(implies(X_701,X_698),implies(implies(implies(implies(not(X_699),X_699),X_699),X_701),X_698))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_701),X_701),X_698),implies(implies(implies(implies(not(X_699),X_699),X_699),X_701),X_698))) )],[refute_0_44,refute_0_17]) ).
cnf(refute_0_46,plain,
is_a_theorem(implies(implies(X_1152,X_1152),implies(implies(implies(implies(not(X_699),X_699),X_699),X_1152),X_1152))),
inference(subst,[],[refute_0_45:[bind(X_698,$fot(X_1152)),bind(X_701,$fot(X_1152))]]) ).
cnf(refute_0_47,plain,
( ~ is_a_theorem(implies(implies(X_669,X_669),X_671))
| ~ is_a_theorem(implies(implies(implies(X_669,X_669),X_671),implies(X_670,X_671)))
| is_a_theorem(implies(X_670,X_671)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_669,X_669),X_671))),bind(Y,$fot(implies(X_670,X_671)))]]) ).
cnf(refute_0_48,plain,
( ~ is_a_theorem(implies(X_166,implies(not(implies(X_165,X_165)),X_164)))
| is_a_theorem(implies(implies(implies(not(implies(X_165,X_165)),X_164),Z),implies(X_166,Z))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_166)),bind(Y,$fot(implies(not(implies(X_165,X_165)),X_164)))]]) ).
cnf(refute_0_49,plain,
( ~ is_a_theorem(implies(implies(not(X_33),X_161),implies(not(implies(X_163,X_163)),X_161)))
| is_a_theorem(implies(X_33,implies(not(implies(X_163,X_163)),X_161))) ),
inference(subst,[],[refute_0_34:[bind(X_32,$fot(X_161)),bind(X_34,$fot(implies(not(implies(X_163,X_163)),X_161)))]]) ).
cnf(refute_0_50,plain,
( ~ is_a_theorem(implies(not(implies(X_148,X_148)),X_147))
| is_a_theorem(implies(implies(X_147,Z),implies(not(implies(X_148,X_148)),Z))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(not(implies(X_148,X_148)))),bind(Y,$fot(X_147))]]) ).
cnf(refute_0_51,plain,
( ~ is_a_theorem(implies(X_146,X_146))
| is_a_theorem(implies(not(implies(X_146,X_146)),Y)) ),
inference(subst,[],[refute_0_22:[bind(X_6,$fot(implies(X_146,X_146)))]]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(implies(not(X_145),X_145),X_145)),
inference(subst,[],[cn_2:[bind(X,$fot(X_145))]]) ).
cnf(refute_0_53,plain,
( ~ is_a_theorem(implies(implies(not(X_145),X_145),X_145))
| is_a_theorem(implies(X_145,X_145)) ),
inference(subst,[],[refute_0_34:[bind(X_32,$fot(X_145)),bind(X_33,$fot(X_145)),bind(X_34,$fot(X_145))]]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(X_145,X_145)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_145),X_145),X_145)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
is_a_theorem(implies(X_146,X_146)),
inference(subst,[],[refute_0_54:[bind(X_145,$fot(X_146))]]) ).
cnf(refute_0_56,plain,
is_a_theorem(implies(not(implies(X_146,X_146)),Y)),
inference(resolve,[$cnf( is_a_theorem(implies(X_146,X_146)) )],[refute_0_55,refute_0_51]) ).
cnf(refute_0_57,plain,
is_a_theorem(implies(not(implies(X_148,X_148)),X_147)),
inference(subst,[],[refute_0_56:[bind(Y,$fot(X_147)),bind(X_146,$fot(X_148))]]) ).
cnf(refute_0_58,plain,
is_a_theorem(implies(implies(X_147,Z),implies(not(implies(X_148,X_148)),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(X_148,X_148)),X_147)) )],[refute_0_57,refute_0_50]) ).
cnf(refute_0_59,plain,
is_a_theorem(implies(implies(not(X_33),X_161),implies(not(implies(X_163,X_163)),X_161))),
inference(subst,[],[refute_0_58:[bind(Z,$fot(X_161)),bind(X_147,$fot(not(X_33))),bind(X_148,$fot(X_163))]]) ).
cnf(refute_0_60,plain,
is_a_theorem(implies(X_33,implies(not(implies(X_163,X_163)),X_161))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_33),X_161),implies(not(implies(X_163,X_163)),X_161))) )],[refute_0_59,refute_0_49]) ).
cnf(refute_0_61,plain,
is_a_theorem(implies(X_166,implies(not(implies(X_165,X_165)),X_164))),
inference(subst,[],[refute_0_60:[bind(X_161,$fot(X_164)),bind(X_163,$fot(X_165)),bind(X_33,$fot(X_166))]]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(implies(implies(not(implies(X_165,X_165)),X_164),Z),implies(X_166,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_166,implies(not(implies(X_165,X_165)),X_164))) )],[refute_0_61,refute_0_48]) ).
cnf(refute_0_63,plain,
is_a_theorem(implies(implies(implies(not(implies(X_165,X_165)),implies(X_165,X_165)),X_668),implies(X_166,X_668))),
inference(subst,[],[refute_0_62:[bind(Z,$fot(X_668)),bind(X_164,$fot(implies(X_165,X_165)))]]) ).
cnf(refute_0_64,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(X_165,X_165)),implies(X_165,X_165)),X_668),implies(X_166,X_668)))
| is_a_theorem(implies(implies(implies(X_165,X_165),X_668),implies(X_166,X_668))) ),
inference(subst,[],[refute_0_16:[bind(X_35,$fot(implies(X_166,X_668))),bind(X_36,$fot(implies(X_165,X_165))),bind(X_37,$fot(X_668))]]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(implies(implies(X_165,X_165),X_668),implies(X_166,X_668))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(X_165,X_165)),implies(X_165,X_165)),X_668),implies(X_166,X_668))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(implies(implies(X_669,X_669),X_671),implies(X_670,X_671))),
inference(subst,[],[refute_0_65:[bind(X_165,$fot(X_669)),bind(X_166,$fot(X_670)),bind(X_668,$fot(X_671))]]) ).
cnf(refute_0_67,plain,
( ~ is_a_theorem(implies(implies(X_669,X_669),X_671))
| is_a_theorem(implies(X_670,X_671)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_669,X_669),X_671),implies(X_670,X_671))) )],[refute_0_66,refute_0_47]) ).
cnf(refute_0_68,plain,
( ~ is_a_theorem(implies(implies(X_1152,X_1152),implies(implies(implies(implies(not(X_699),X_699),X_699),X_1152),X_1152)))
| is_a_theorem(implies(X_1153,implies(implies(implies(implies(not(X_699),X_699),X_699),X_1152),X_1152))) ),
inference(subst,[],[refute_0_67:[bind(X_669,$fot(X_1152)),bind(X_670,$fot(X_1153)),bind(X_671,$fot(implies(implies(implies(implies(not(X_699),X_699),X_699),X_1152),X_1152)))]]) ).
cnf(refute_0_69,plain,
is_a_theorem(implies(X_1153,implies(implies(implies(implies(not(X_699),X_699),X_699),X_1152),X_1152))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1152,X_1152),implies(implies(implies(implies(not(X_699),X_699),X_699),X_1152),X_1152))) )],[refute_0_46,refute_0_68]) ).
cnf(refute_0_70,plain,
is_a_theorem(implies(not(implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241)),implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241))),
inference(subst,[],[refute_0_69:[bind(X_1152,$fot(X_1241)),bind(X_1153,$fot(not(implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241)))),bind(X_699,$fot(X_1243))]]) ).
cnf(refute_0_71,plain,
is_a_theorem(implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241)),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241)),implies(implies(implies(implies(not(X_1243),X_1243),X_1243),X_1241),X_1241))) )],[refute_0_70,refute_0_7]) ).
cnf(refute_0_72,plain,
is_a_theorem(implies(implies(implies(implies(not(X_1865),X_1865),X_1865),implies(X_1863,X_1865)),implies(X_1863,X_1865))),
inference(subst,[],[refute_0_71:[bind(X_1241,$fot(implies(X_1863,X_1865))),bind(X_1243,$fot(X_1865))]]) ).
cnf(refute_0_73,plain,
( ~ is_a_theorem(implies(implies(implies(X_79,X_80),implies(X_78,X_80)),X_81))
| ~ is_a_theorem(implies(implies(implies(implies(X_79,X_80),implies(X_78,X_80)),X_81),implies(implies(X_78,X_79),X_81)))
| is_a_theorem(implies(implies(X_78,X_79),X_81)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_79,X_80),implies(X_78,X_80)),X_81))),bind(Y,$fot(implies(implies(X_78,X_79),X_81)))]]) ).
cnf(refute_0_74,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_1:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z)))),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_75,plain,
is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_25),implies(implies(X,Y),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_74]) ).
cnf(refute_0_76,plain,
is_a_theorem(implies(implies(implies(implies(X_79,X_80),implies(X_78,X_80)),X_81),implies(implies(X_78,X_79),X_81))),
inference(subst,[],[refute_0_75:[bind(X,$fot(X_78)),bind(Y,$fot(X_79)),bind(Z,$fot(X_80)),bind(X_25,$fot(X_81))]]) ).
cnf(refute_0_77,plain,
( ~ is_a_theorem(implies(implies(implies(X_79,X_80),implies(X_78,X_80)),X_81))
| is_a_theorem(implies(implies(X_78,X_79),X_81)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_79,X_80),implies(X_78,X_80)),X_81),implies(implies(X_78,X_79),X_81))) )],[refute_0_76,refute_0_73]) ).
cnf(refute_0_78,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_1865),X_1865),X_1865),implies(X_1863,X_1865)),implies(X_1863,X_1865)))
| is_a_theorem(implies(implies(X_1863,implies(not(X_1865),X_1865)),implies(X_1863,X_1865))) ),
inference(subst,[],[refute_0_77:[bind(X_78,$fot(X_1863)),bind(X_79,$fot(implies(not(X_1865),X_1865))),bind(X_80,$fot(X_1865)),bind(X_81,$fot(implies(X_1863,X_1865)))]]) ).
cnf(refute_0_79,plain,
is_a_theorem(implies(implies(X_1863,implies(not(X_1865),X_1865)),implies(X_1863,X_1865))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_1865),X_1865),X_1865),implies(X_1863,X_1865)),implies(X_1863,X_1865))) )],[refute_0_72,refute_0_78]) ).
cnf(refute_0_80,plain,
is_a_theorem(implies(implies(X_1869,implies(not(X_1870),X_1870)),implies(X_1869,X_1870))),
inference(subst,[],[refute_0_79:[bind(X_1863,$fot(X_1869)),bind(X_1865,$fot(X_1870))]]) ).
cnf(refute_0_81,plain,
( ~ is_a_theorem(implies(X_1869,implies(not(X_1870),X_1870)))
| is_a_theorem(implies(X_1869,X_1870)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1869,implies(not(X_1870),X_1870)),implies(X_1869,X_1870))) )],[refute_0_80,refute_0_3]) ).
cnf(refute_0_82,plain,
( ~ is_a_theorem(implies(not(not(X_5268)),implies(not(X_5268),X_5268)))
| is_a_theorem(implies(not(not(X_5268)),X_5268)) ),
inference(subst,[],[refute_0_81:[bind(X_1869,$fot(not(not(X_5268)))),bind(X_1870,$fot(X_5268))]]) ).
cnf(refute_0_83,plain,
( ~ is_a_theorem(implies(implies(not(not(X_5267)),not(X_5267)),implies(X_5267,X_5266)))
| is_a_theorem(implies(not(X_5267),implies(X_5267,X_5266))) ),
inference(subst,[],[refute_0_34:[bind(X_32,$fot(not(X_5267))),bind(X_33,$fot(not(X_5267))),bind(X_34,$fot(implies(X_5267,X_5266)))]]) ).
cnf(refute_0_84,plain,
( ~ is_a_theorem(implies(X_1885,not(X_1887)))
| ~ is_a_theorem(implies(implies(X_1885,not(X_1887)),implies(X_1887,implies(X_1885,X_1886))))
| is_a_theorem(implies(X_1887,implies(X_1885,X_1886))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_1885,not(X_1887)))),bind(Y,$fot(implies(X_1887,implies(X_1885,X_1886))))]]) ).
cnf(refute_0_85,plain,
is_a_theorem(implies(implies(implies(not(X_23),X_1865),implies(X_1863,X_1865)),implies(X_23,implies(X_1863,X_1865)))),
inference(subst,[],[refute_0_32:[bind(Y,$fot(X_1865)),bind(X_25,$fot(implies(X_1863,X_1865)))]]) ).
cnf(refute_0_86,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_23),X_1865),implies(X_1863,X_1865)),implies(X_23,implies(X_1863,X_1865))))
| is_a_theorem(implies(implies(X_1863,not(X_23)),implies(X_23,implies(X_1863,X_1865)))) ),
inference(subst,[],[refute_0_77:[bind(X_78,$fot(X_1863)),bind(X_79,$fot(not(X_23))),bind(X_80,$fot(X_1865)),bind(X_81,$fot(implies(X_23,implies(X_1863,X_1865))))]]) ).
cnf(refute_0_87,plain,
is_a_theorem(implies(implies(X_1863,not(X_23)),implies(X_23,implies(X_1863,X_1865)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_23),X_1865),implies(X_1863,X_1865)),implies(X_23,implies(X_1863,X_1865)))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
is_a_theorem(implies(implies(X_1885,not(X_1887)),implies(X_1887,implies(X_1885,X_1886)))),
inference(subst,[],[refute_0_87:[bind(X_1863,$fot(X_1885)),bind(X_1865,$fot(X_1886)),bind(X_23,$fot(X_1887))]]) ).
cnf(refute_0_89,plain,
( ~ is_a_theorem(implies(X_1885,not(X_1887)))
| is_a_theorem(implies(X_1887,implies(X_1885,X_1886))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1885,not(X_1887)),implies(X_1887,implies(X_1885,X_1886)))) )],[refute_0_88,refute_0_84]) ).
cnf(refute_0_90,plain,
( ~ is_a_theorem(implies(X_5265,not(implies(not(not(X_5265)),not(X_5265)))))
| is_a_theorem(implies(implies(not(not(X_5265)),not(X_5265)),implies(X_5265,X_1886))) ),
inference(subst,[],[refute_0_89:[bind(X_1885,$fot(X_5265)),bind(X_1887,$fot(implies(not(not(X_5265)),not(X_5265))))]]) ).
cnf(refute_0_91,plain,
( ~ is_a_theorem(implies(X_5264,implies(not(not(implies(not(not(X_5264)),not(X_5264)))),not(implies(not(not(X_5264)),not(X_5264))))))
| is_a_theorem(implies(X_5264,not(implies(not(not(X_5264)),not(X_5264))))) ),
inference(subst,[],[refute_0_81:[bind(X_1869,$fot(X_5264)),bind(X_1870,$fot(not(implies(not(not(X_5264)),not(X_5264)))))]]) ).
cnf(refute_0_92,plain,
( ~ is_a_theorem(implies(not(not(implies(not(not(X_1887)),not(X_1887)))),not(X_1887)))
| is_a_theorem(implies(X_1887,implies(not(not(implies(not(not(X_1887)),not(X_1887)))),X_1886))) ),
inference(subst,[],[refute_0_89:[bind(X_1885,$fot(not(not(implies(not(not(X_1887)),not(X_1887))))))]]) ).
cnf(refute_0_93,plain,
( ~ is_a_theorem(implies(not(not(implies(not(X_5048),X_5048))),implies(not(X_5048),X_5048)))
| is_a_theorem(implies(not(not(implies(not(X_5048),X_5048))),X_5048)) ),
inference(subst,[],[refute_0_81:[bind(X_1869,$fot(not(not(implies(not(X_5048),X_5048))))),bind(X_1870,$fot(X_5048))]]) ).
cnf(refute_0_94,plain,
( ~ is_a_theorem(implies(implies(not(not(not(implies(X_5047,X_5046)))),not(not(implies(X_5047,X_5046)))),implies(X_5047,X_5046)))
| is_a_theorem(implies(not(not(implies(X_5047,X_5046))),implies(X_5047,X_5046))) ),
inference(subst,[],[refute_0_34:[bind(X_32,$fot(not(not(implies(X_5047,X_5046))))),bind(X_33,$fot(not(not(implies(X_5047,X_5046))))),bind(X_34,$fot(implies(X_5047,X_5046)))]]) ).
cnf(refute_0_95,plain,
( ~ is_a_theorem(implies(implies(not(not(not(implies(X_5045,X_5044)))),not(not(implies(X_5045,X_5044)))),implies(not(implies(X_5045,X_5044)),implies(X_5045,X_5044))))
| is_a_theorem(implies(implies(not(not(not(implies(X_5045,X_5044)))),not(not(implies(X_5045,X_5044)))),implies(X_5045,X_5044))) ),
inference(subst,[],[refute_0_81:[bind(X_1869,$fot(implies(not(not(not(implies(X_5045,X_5044)))),not(not(implies(X_5045,X_5044)))))),bind(X_1870,$fot(implies(X_5045,X_5044)))]]) ).
cnf(refute_0_96,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_5031),not(X_5031)),implies(not(not(X_5031)),not(X_5031))),implies(X_5031,implies(X_5034,X_5032))))
| is_a_theorem(implies(implies(not(not(X_5031)),not(X_5031)),implies(X_5031,implies(X_5034,X_5032)))) ),
inference(subst,[],[refute_0_77:[bind(X_78,$fot(not(not(X_5031)))),bind(X_79,$fot(not(X_5031))),bind(X_80,$fot(not(X_5031))),bind(X_81,$fot(implies(X_5031,implies(X_5034,X_5032))))]]) ).
cnf(refute_0_97,plain,
( ~ is_a_theorem(implies(X_152,implies(implies(not(not(X_152)),not(X_152)),X_151)))
| is_a_theorem(implies(implies(implies(implies(not(not(X_152)),not(X_152)),X_151),Z),implies(X_152,Z))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_152)),bind(Y,$fot(implies(implies(not(not(X_152)),not(X_152)),X_151)))]]) ).
cnf(refute_0_98,plain,
is_a_theorem(implies(implies(not(X_144),X_143),implies(implies(not(not(X_144)),not(X_144)),X_143))),
inference(subst,[],[refute_0_12:[bind(X_24,$fot(not(X_144))),bind(X_25,$fot(X_143))]]) ).
cnf(refute_0_99,plain,
( ~ is_a_theorem(implies(implies(not(X_144),X_143),implies(implies(not(not(X_144)),not(X_144)),X_143)))
| is_a_theorem(implies(X_144,implies(implies(not(not(X_144)),not(X_144)),X_143))) ),
inference(subst,[],[refute_0_34:[bind(X_32,$fot(X_143)),bind(X_33,$fot(X_144)),bind(X_34,$fot(implies(implies(not(not(X_144)),not(X_144)),X_143)))]]) ).
cnf(refute_0_100,plain,
is_a_theorem(implies(X_144,implies(implies(not(not(X_144)),not(X_144)),X_143))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_144),X_143),implies(implies(not(not(X_144)),not(X_144)),X_143))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
is_a_theorem(implies(X_152,implies(implies(not(not(X_152)),not(X_152)),X_151))),
inference(subst,[],[refute_0_100:[bind(X_143,$fot(X_151)),bind(X_144,$fot(X_152))]]) ).
cnf(refute_0_102,plain,
is_a_theorem(implies(implies(implies(implies(not(not(X_152)),not(X_152)),X_151),Z),implies(X_152,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_152,implies(implies(not(not(X_152)),not(X_152)),X_151))) )],[refute_0_101,refute_0_97]) ).
cnf(refute_0_103,plain,
is_a_theorem(implies(implies(implies(implies(not(not(X_152)),not(X_152)),X_1865),implies(X_1863,X_1865)),implies(X_152,implies(X_1863,X_1865)))),
inference(subst,[],[refute_0_102:[bind(Z,$fot(implies(X_1863,X_1865))),bind(X_151,$fot(X_1865))]]) ).
cnf(refute_0_104,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(not(X_152)),not(X_152)),X_1865),implies(X_1863,X_1865)),implies(X_152,implies(X_1863,X_1865))))
| is_a_theorem(implies(implies(X_1863,implies(not(not(X_152)),not(X_152))),implies(X_152,implies(X_1863,X_1865)))) ),
inference(subst,[],[refute_0_77:[bind(X_78,$fot(X_1863)),bind(X_79,$fot(implies(not(not(X_152)),not(X_152)))),bind(X_80,$fot(X_1865)),bind(X_81,$fot(implies(X_152,implies(X_1863,X_1865))))]]) ).
cnf(refute_0_105,plain,
is_a_theorem(implies(implies(X_1863,implies(not(not(X_152)),not(X_152))),implies(X_152,implies(X_1863,X_1865)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(not(X_152)),not(X_152)),X_1865),implies(X_1863,X_1865)),implies(X_152,implies(X_1863,X_1865)))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
is_a_theorem(implies(implies(X_4891,implies(not(not(X_152)),not(X_152))),implies(X_152,implies(X_4891,X_1865)))),
inference(subst,[],[refute_0_105:[bind(X_1863,$fot(X_4891))]]) ).
cnf(refute_0_107,plain,
( ~ is_a_theorem(implies(implies(X_1125,X_1126),X_1123))
| ~ is_a_theorem(implies(implies(implies(X_1125,X_1126),X_1123),implies(implies(implies(X_1124,X_1124),X_1126),X_1123)))
| is_a_theorem(implies(implies(implies(X_1124,X_1124),X_1126),X_1123)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1125,X_1126),X_1123))),bind(Y,$fot(implies(implies(implies(X_1124,X_1124),X_1126),X_1123)))]]) ).
cnf(refute_0_108,plain,
( ~ is_a_theorem(implies(implies(implies(X_669,X_669),X_671),implies(X_670,X_671)))
| is_a_theorem(implies(implies(implies(X_670,X_671),Z),implies(implies(implies(X_669,X_669),X_671),Z))) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(implies(implies(X_669,X_669),X_671))),bind(Y,$fot(implies(X_670,X_671)))]]) ).
cnf(refute_0_109,plain,
is_a_theorem(implies(implies(implies(X_670,X_671),Z),implies(implies(implies(X_669,X_669),X_671),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_669,X_669),X_671),implies(X_670,X_671))) )],[refute_0_66,refute_0_108]) ).
cnf(refute_0_110,plain,
is_a_theorem(implies(implies(implies(X_1125,X_1126),X_1123),implies(implies(implies(X_1124,X_1124),X_1126),X_1123))),
inference(subst,[],[refute_0_109:[bind(Z,$fot(X_1123)),bind(X_669,$fot(X_1124)),bind(X_670,$fot(X_1125)),bind(X_671,$fot(X_1126))]]) ).
cnf(refute_0_111,plain,
( ~ is_a_theorem(implies(implies(X_1125,X_1126),X_1123))
| is_a_theorem(implies(implies(implies(X_1124,X_1124),X_1126),X_1123)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1125,X_1126),X_1123),implies(implies(implies(X_1124,X_1124),X_1126),X_1123))) )],[refute_0_110,refute_0_107]) ).
cnf(refute_0_112,plain,
( ~ is_a_theorem(implies(implies(X_4891,implies(not(not(X_152)),not(X_152))),implies(X_152,implies(X_4891,X_1865))))
| is_a_theorem(implies(implies(implies(X_4890,X_4890),implies(not(not(X_152)),not(X_152))),implies(X_152,implies(X_4891,X_1865)))) ),
inference(subst,[],[refute_0_111:[bind(X_1123,$fot(implies(X_152,implies(X_4891,X_1865)))),bind(X_1124,$fot(X_4890)),bind(X_1125,$fot(X_4891)),bind(X_1126,$fot(implies(not(not(X_152)),not(X_152))))]]) ).
cnf(refute_0_113,plain,
is_a_theorem(implies(implies(implies(X_4890,X_4890),implies(not(not(X_152)),not(X_152))),implies(X_152,implies(X_4891,X_1865)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_4891,implies(not(not(X_152)),not(X_152))),implies(X_152,implies(X_4891,X_1865)))) )],[refute_0_106,refute_0_112]) ).
cnf(refute_0_114,plain,
is_a_theorem(implies(implies(implies(not(X_5031),not(X_5031)),implies(not(not(X_5031)),not(X_5031))),implies(X_5031,implies(X_5034,X_5032)))),
inference(subst,[],[refute_0_113:[bind(X_152,$fot(X_5031)),bind(X_1865,$fot(X_5032)),bind(X_4890,$fot(not(X_5031))),bind(X_4891,$fot(X_5034))]]) ).
cnf(refute_0_115,plain,
is_a_theorem(implies(implies(not(not(X_5031)),not(X_5031)),implies(X_5031,implies(X_5034,X_5032)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_5031),not(X_5031)),implies(not(not(X_5031)),not(X_5031))),implies(X_5031,implies(X_5034,X_5032)))) )],[refute_0_114,refute_0_96]) ).
cnf(refute_0_116,plain,
is_a_theorem(implies(implies(not(not(not(implies(X_5045,X_5044)))),not(not(implies(X_5045,X_5044)))),implies(not(implies(X_5045,X_5044)),implies(X_5045,X_5044)))),
inference(subst,[],[refute_0_115:[bind(X_5031,$fot(not(implies(X_5045,X_5044)))),bind(X_5032,$fot(X_5044)),bind(X_5034,$fot(X_5045))]]) ).
cnf(refute_0_117,plain,
is_a_theorem(implies(implies(not(not(not(implies(X_5045,X_5044)))),not(not(implies(X_5045,X_5044)))),implies(X_5045,X_5044))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(not(not(implies(X_5045,X_5044)))),not(not(implies(X_5045,X_5044)))),implies(not(implies(X_5045,X_5044)),implies(X_5045,X_5044)))) )],[refute_0_116,refute_0_95]) ).
cnf(refute_0_118,plain,
is_a_theorem(implies(implies(not(not(not(implies(X_5047,X_5046)))),not(not(implies(X_5047,X_5046)))),implies(X_5047,X_5046))),
inference(subst,[],[refute_0_117:[bind(X_5044,$fot(X_5046)),bind(X_5045,$fot(X_5047))]]) ).
cnf(refute_0_119,plain,
is_a_theorem(implies(not(not(implies(X_5047,X_5046))),implies(X_5047,X_5046))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(not(not(implies(X_5047,X_5046)))),not(not(implies(X_5047,X_5046)))),implies(X_5047,X_5046))) )],[refute_0_118,refute_0_94]) ).
cnf(refute_0_120,plain,
is_a_theorem(implies(not(not(implies(not(X_5048),X_5048))),implies(not(X_5048),X_5048))),
inference(subst,[],[refute_0_119:[bind(X_5046,$fot(X_5048)),bind(X_5047,$fot(not(X_5048)))]]) ).
cnf(refute_0_121,plain,
is_a_theorem(implies(not(not(implies(not(X_5048),X_5048))),X_5048)),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(implies(not(X_5048),X_5048))),implies(not(X_5048),X_5048))) )],[refute_0_120,refute_0_93]) ).
cnf(refute_0_122,plain,
is_a_theorem(implies(not(not(implies(not(not(X_1887)),not(X_1887)))),not(X_1887))),
inference(subst,[],[refute_0_121:[bind(X_5048,$fot(not(X_1887)))]]) ).
cnf(refute_0_123,plain,
is_a_theorem(implies(X_1887,implies(not(not(implies(not(not(X_1887)),not(X_1887)))),X_1886))),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(implies(not(not(X_1887)),not(X_1887)))),not(X_1887))) )],[refute_0_122,refute_0_92]) ).
cnf(refute_0_124,plain,
is_a_theorem(implies(X_5264,implies(not(not(implies(not(not(X_5264)),not(X_5264)))),not(implies(not(not(X_5264)),not(X_5264)))))),
inference(subst,[],[refute_0_123:[bind(X_1886,$fot(not(implies(not(not(X_5264)),not(X_5264))))),bind(X_1887,$fot(X_5264))]]) ).
cnf(refute_0_125,plain,
is_a_theorem(implies(X_5264,not(implies(not(not(X_5264)),not(X_5264))))),
inference(resolve,[$cnf( is_a_theorem(implies(X_5264,implies(not(not(implies(not(not(X_5264)),not(X_5264)))),not(implies(not(not(X_5264)),not(X_5264)))))) )],[refute_0_124,refute_0_91]) ).
cnf(refute_0_126,plain,
is_a_theorem(implies(X_5265,not(implies(not(not(X_5265)),not(X_5265))))),
inference(subst,[],[refute_0_125:[bind(X_5264,$fot(X_5265))]]) ).
cnf(refute_0_127,plain,
is_a_theorem(implies(implies(not(not(X_5265)),not(X_5265)),implies(X_5265,X_1886))),
inference(resolve,[$cnf( is_a_theorem(implies(X_5265,not(implies(not(not(X_5265)),not(X_5265))))) )],[refute_0_126,refute_0_90]) ).
cnf(refute_0_128,plain,
is_a_theorem(implies(implies(not(not(X_5267)),not(X_5267)),implies(X_5267,X_5266))),
inference(subst,[],[refute_0_127:[bind(X_1886,$fot(X_5266)),bind(X_5265,$fot(X_5267))]]) ).
cnf(refute_0_129,plain,
is_a_theorem(implies(not(X_5267),implies(X_5267,X_5266))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(not(X_5267)),not(X_5267)),implies(X_5267,X_5266))) )],[refute_0_128,refute_0_83]) ).
cnf(refute_0_130,plain,
is_a_theorem(implies(not(not(X_5268)),implies(not(X_5268),X_5268))),
inference(subst,[],[refute_0_129:[bind(X_5266,$fot(X_5268)),bind(X_5267,$fot(not(X_5268)))]]) ).
cnf(refute_0_131,plain,
is_a_theorem(implies(not(not(X_5268)),X_5268)),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(X_5268)),implies(not(X_5268),X_5268))) )],[refute_0_130,refute_0_82]) ).
cnf(refute_0_132,plain,
is_a_theorem(implies(not(not(X_5270)),X_5270)),
inference(subst,[],[refute_0_131:[bind(X_5268,$fot(X_5270))]]) ).
cnf(refute_0_133,plain,
is_a_theorem(implies(implies(X_5270,Z),implies(not(not(X_5270)),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(X_5270)),X_5270)) )],[refute_0_132,refute_0_2]) ).
cnf(refute_0_134,plain,
is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))),
inference(subst,[],[refute_0_133:[bind(Z,$fot(y)),bind(X_5270,$fot(x))]]) ).
cnf(refute_0_135,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))) )],[refute_0_134,prove_cn_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL380-1 : TPTP v8.1.0. Released v2.3.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n016.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 : Mon Jul 4 02:20:16 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 12.95/13.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.95/13.16
% 12.95/13.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.95/13.18
%------------------------------------------------------------------------------