TSTP Solution File: LCL036-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:48:56 EDT 2022
% Result : Unsatisfiable 0.66s 0.82s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 3
% Syntax : Number of clauses : 105 ( 60 unt; 0 nHn; 35 RR)
% Number of literals : 161 ( 0 equ; 57 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 423 ( 181 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(c0_CAMerideth,axiom,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))) ).
cnf(prove_c0_5,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(implies(X_133,implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),X_129)),X_130))
| ~ is_a_theorem(implies(implies(implies(X_133,implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),X_129)),X_130),implies(X_132,X_130)))
| is_a_theorem(implies(X_132,X_130)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_133,implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),X_129)),X_130))),bind(Y,$fot(implies(X_132,X_130)))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),X_3))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),X_3),implies(implies(X_3,X_4),implies(X_6,X_4))))
| is_a_theorem(implies(implies(X_3,X_4),implies(X_6,X_4))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),X_3))),bind(Y,$fot(implies(implies(X_3,X_4),implies(X_6,X_4))))]]) ).
cnf(refute_0_2,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),X_3),implies(implies(X_3,X_4),implies(X_6,X_4)))),
inference(subst,[],[c0_CAMerideth:[bind(U,$fot(X_2)),bind(V,$fot(X_3)),bind(X,$fot(X_4)),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),X_3))
| is_a_theorem(implies(implies(X_3,X_4),implies(X_6,X_4))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),X_3),implies(implies(X_3,X_4),implies(X_6,X_4)))) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_74,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2))))
| is_a_theorem(implies(implies(implies(X_74,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_3,$fot(implies(X_74,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2))))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_23),implies(falsehood,X_23)))
| is_a_theorem(implies(implies(implies(falsehood,X_23),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_23)),bind(X_3,$fot(implies(falsehood,X_23)))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(falsehood,falsehood)),X_20),implies(X_18,X_20)))
| is_a_theorem(implies(implies(implies(X_18,X_20),X_4),implies(falsehood,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_20)),bind(X_3,$fot(implies(X_18,X_20))),bind(X_6,$fot(falsehood))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_16,falsehood),implies(X_14,falsehood)),implies(falsehood,X_13)),implies(X_15,implies(falsehood,X_13))))
| is_a_theorem(implies(implies(implies(X_15,implies(falsehood,X_13)),X_16),implies(X_14,X_16))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(falsehood,X_13))),bind(X_3,$fot(implies(X_15,implies(falsehood,X_13)))),bind(X_4,$fot(X_16)),bind(X_5,$fot(falsehood)),bind(X_6,$fot(X_14))]]) ).
cnf(refute_0_8,plain,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(X_11,falsehood)),X_7),implies(implies(X_7,X),implies(Z,X)))),
inference(subst,[],[c0_CAMerideth:[bind(U,$fot(implies(X_11,falsehood))),bind(V,$fot(X_7))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(X_11,falsehood)),X_7),implies(implies(X_7,X),implies(Z,X))))
| is_a_theorem(implies(implies(implies(implies(X_7,X),implies(Z,X)),implies(X,Y)),implies(X_11,implies(X,Y)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_7)),bind(X_3,$fot(implies(implies(X_7,X),implies(Z,X)))),bind(X_4,$fot(implies(X,Y))),bind(X_5,$fot(implies(Z,falsehood))),bind(X_6,$fot(X_11))]]) ).
cnf(refute_0_10,plain,
is_a_theorem(implies(implies(implies(implies(X_7,X),implies(Z,X)),implies(X,Y)),implies(X_11,implies(X,Y)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(X_11,falsehood)),X_7),implies(implies(X_7,X),implies(Z,X)))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
is_a_theorem(implies(implies(implies(implies(X_16,falsehood),implies(X_14,falsehood)),implies(falsehood,X_13)),implies(X_15,implies(falsehood,X_13)))),
inference(subst,[],[refute_0_10:[bind(X,$fot(falsehood)),bind(Y,$fot(X_13)),bind(Z,$fot(X_14)),bind(X_11,$fot(X_15)),bind(X_7,$fot(X_16))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(implies(X_15,implies(falsehood,X_13)),X_16),implies(X_14,X_16))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_16,falsehood),implies(X_14,falsehood)),implies(falsehood,X_13)),implies(X_15,implies(falsehood,X_13)))) )],[refute_0_11,refute_0_7]) ).
cnf(refute_0_13,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(falsehood,falsehood)),X_20),implies(X_18,X_20))),
inference(subst,[],[refute_0_12:[bind(X_13,$fot(falsehood)),bind(X_14,$fot(X_18)),bind(X_15,$fot(implies(X_4,X_5))),bind(X_16,$fot(X_20))]]) ).
cnf(refute_0_14,plain,
is_a_theorem(implies(implies(implies(X_18,X_20),X_4),implies(falsehood,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(falsehood,falsehood)),X_20),implies(X_18,X_20))) )],[refute_0_13,refute_0_6]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_23),implies(falsehood,X_23))),
inference(subst,[],[refute_0_14:[bind(X_18,$fot(implies(X_4,X_5))),bind(X_20,$fot(implies(X_6,falsehood))),bind(X_4,$fot(X_23))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(implies(implies(falsehood,X_23),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_23),implies(falsehood,X_23))) )],[refute_0_15,refute_0_5]) ).
cnf(refute_0_17,plain,
is_a_theorem(implies(implies(implies(falsehood,X_23),X_28),implies(X_6,X_28))),
inference(subst,[],[refute_0_16:[bind(X_4,$fot(X_28))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(implies(X_21,X_22),X_23))
| ~ is_a_theorem(implies(implies(implies(X_21,X_22),X_23),implies(falsehood,X_23)))
| is_a_theorem(implies(falsehood,X_23)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_21,X_22),X_23))),bind(Y,$fot(implies(falsehood,X_23)))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(implies(implies(X_21,X_22),X_23),implies(falsehood,X_23))),
inference(subst,[],[refute_0_14:[bind(X_18,$fot(X_21)),bind(X_20,$fot(X_22)),bind(X_4,$fot(X_23))]]) ).
cnf(refute_0_20,plain,
( ~ is_a_theorem(implies(implies(X_21,X_22),X_23))
| is_a_theorem(implies(falsehood,X_23)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_21,X_22),X_23),implies(falsehood,X_23))) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(implies(implies(implies(falsehood,X_23),X_28),implies(X_6,X_28)))
| is_a_theorem(implies(falsehood,implies(X_6,X_28))) ),
inference(subst,[],[refute_0_20:[bind(X_21,$fot(implies(falsehood,X_23))),bind(X_22,$fot(X_28)),bind(X_23,$fot(implies(X_6,X_28)))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(implies(falsehood,implies(X_6,X_28))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(falsehood,X_23),X_28),implies(X_6,X_28))) )],[refute_0_17,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ is_a_theorem(X_69)
| ~ is_a_theorem(implies(X_69,implies(X_67,implies(X_68,X_67))))
| is_a_theorem(implies(X_67,implies(X_68,X_67))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_69)),bind(Y,$fot(implies(X_67,implies(X_68,X_67))))]]) ).
cnf(refute_0_24,plain,
is_a_theorem(implies(implies(implies(falsehood,X_62),implies(X_64,X_62)),implies(X_62,implies(X_64,X_62)))),
inference(subst,[],[refute_0_16:[bind(X_23,$fot(X_62)),bind(X_4,$fot(implies(X_64,X_62))),bind(X_6,$fot(X_62))]]) ).
cnf(refute_0_25,plain,
( ~ is_a_theorem(implies(implies(implies(X_16,X_12),implies(X_14,X_12)),implies(X_12,X_13)))
| ~ is_a_theorem(implies(implies(implies(implies(X_16,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_15,implies(X_12,X_13))))
| is_a_theorem(implies(X_15,implies(X_12,X_13))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_16,X_12),implies(X_14,X_12)),implies(X_12,X_13)))),bind(Y,$fot(implies(X_15,implies(X_12,X_13))))]]) ).
cnf(refute_0_26,plain,
is_a_theorem(implies(implies(implies(implies(X_16,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_15,implies(X_12,X_13)))),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_12)),bind(Y,$fot(X_13)),bind(Z,$fot(X_14)),bind(X_11,$fot(X_15)),bind(X_7,$fot(X_16))]]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(implies(implies(X_16,X_12),implies(X_14,X_12)),implies(X_12,X_13)))
| is_a_theorem(implies(X_15,implies(X_12,X_13))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_16,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_15,implies(X_12,X_13)))) )],[refute_0_26,refute_0_25]) ).
cnf(refute_0_28,plain,
( ~ is_a_theorem(implies(implies(implies(falsehood,X_62),implies(X_64,X_62)),implies(X_62,implies(X_64,X_62))))
| is_a_theorem(implies(X_65,implies(X_62,implies(X_64,X_62)))) ),
inference(subst,[],[refute_0_27:[bind(X_12,$fot(X_62)),bind(X_13,$fot(implies(X_64,X_62))),bind(X_14,$fot(X_64)),bind(X_15,$fot(X_65)),bind(X_16,$fot(falsehood))]]) ).
cnf(refute_0_29,plain,
is_a_theorem(implies(X_65,implies(X_62,implies(X_64,X_62)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(falsehood,X_62),implies(X_64,X_62)),implies(X_62,implies(X_64,X_62)))) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(X_69,implies(X_67,implies(X_68,X_67)))),
inference(subst,[],[refute_0_29:[bind(X_62,$fot(X_67)),bind(X_64,$fot(X_68)),bind(X_65,$fot(X_69))]]) ).
cnf(refute_0_31,plain,
( ~ is_a_theorem(X_69)
| is_a_theorem(implies(X_67,implies(X_68,X_67))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_69,implies(X_67,implies(X_68,X_67)))) )],[refute_0_30,refute_0_23]) ).
cnf(refute_0_32,plain,
( ~ is_a_theorem(implies(falsehood,implies(X_6,X_28)))
| is_a_theorem(implies(X_70,implies(X_71,X_70))) ),
inference(subst,[],[refute_0_31:[bind(X_67,$fot(X_70)),bind(X_68,$fot(X_71)),bind(X_69,$fot(implies(falsehood,implies(X_6,X_28))))]]) ).
cnf(refute_0_33,plain,
is_a_theorem(implies(X_70,implies(X_71,X_70))),
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,implies(X_6,X_28))) )],[refute_0_22,refute_0_32]) ).
cnf(refute_0_34,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_74,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)))),
inference(subst,[],[refute_0_33:[bind(X_70,$fot(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2))),bind(X_71,$fot(X_74))]]) ).
cnf(refute_0_35,plain,
is_a_theorem(implies(implies(implies(X_74,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_74,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)))) )],[refute_0_34,refute_0_4]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(implies(implies(X_133,implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),X_129)),X_130),implies(X_132,X_130))),
inference(subst,[],[refute_0_35:[bind(X_2,$fot(X_129)),bind(X_4,$fot(X_130)),bind(X_5,$fot(X_131)),bind(X_6,$fot(X_132)),bind(X_74,$fot(X_133))]]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(implies(implies(X_133,implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),X_129)),X_130))
| is_a_theorem(implies(X_132,X_130)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_133,implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),X_129)),X_130),implies(X_132,X_130))) )],[refute_0_36,refute_0_0]) ).
cnf(refute_0_38,plain,
( ~ is_a_theorem(implies(implies(implies(X_1158,X_1159),implies(implies(implies(implies(implies(X_132,falsehood),X_1158),X_131),implies(X_132,falsehood)),falsehood)),implies(implies(X_132,falsehood),X_1158)))
| is_a_theorem(implies(X_132,implies(implies(X_132,falsehood),X_1158))) ),
inference(subst,[],[refute_0_37:[bind(X_129,$fot(falsehood)),bind(X_130,$fot(implies(implies(X_132,falsehood),X_1158))),bind(X_133,$fot(implies(X_1158,X_1159)))]]) ).
cnf(refute_0_39,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_885,falsehood)),X_885),implies(X_887,X_885)))
| is_a_theorem(implies(implies(implies(X_887,X_885),X_4),implies(X_885,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_885)),bind(X_3,$fot(implies(X_887,X_885))),bind(X_6,$fot(X_885))]]) ).
cnf(refute_0_40,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),falsehood),implies(X_833,implies(X_4,X_5))))
| is_a_theorem(implies(implies(implies(X_833,implies(X_4,X_5)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(falsehood)),bind(X_3,$fot(implies(X_833,implies(X_4,X_5))))]]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(X_816)
| ~ is_a_theorem(implies(X_816,implies(implies(implies(X_817,X_818),falsehood),implies(X_815,X_817))))
| is_a_theorem(implies(implies(implies(X_817,X_818),falsehood),implies(X_815,X_817))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_816)),bind(Y,$fot(implies(implies(implies(X_817,X_818),falsehood),implies(X_815,X_817))))]]) ).
cnf(refute_0_42,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,X_60),X_58),implies(X_59,X_58)),X_57))
| ~ is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_60),X_58),implies(X_59,X_58)),X_57),implies(X_61,X_57)))
| is_a_theorem(implies(X_61,X_57)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(falsehood,X_60),X_58),implies(X_59,X_58)),X_57))),bind(Y,$fot(implies(X_61,X_57)))]]) ).
cnf(refute_0_43,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_55),X_53),implies(X_54,X_53))))
| is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_55),X_53),implies(X_54,X_53)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_3,$fot(implies(implies(implies(falsehood,X_55),X_53),implies(X_54,X_53))))]]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),implies(falsehood,X_37)),implies(implies(implies(falsehood,X_37),X),implies(Z,X)))),
inference(subst,[],[c0_CAMerideth:[bind(V,$fot(implies(falsehood,X_37)))]]) ).
cnf(refute_0_45,plain,
( ~ is_a_theorem(implies(implies(X_19,implies(falsehood,X_17)),X_20))
| ~ is_a_theorem(implies(implies(implies(X_19,implies(falsehood,X_17)),X_20),implies(X_18,X_20)))
| is_a_theorem(implies(X_18,X_20)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_19,implies(falsehood,X_17)),X_20))),bind(Y,$fot(implies(X_18,X_20)))]]) ).
cnf(refute_0_46,plain,
is_a_theorem(implies(implies(implies(X_19,implies(falsehood,X_17)),X_20),implies(X_18,X_20))),
inference(subst,[],[refute_0_12:[bind(X_13,$fot(X_17)),bind(X_14,$fot(X_18)),bind(X_15,$fot(X_19)),bind(X_16,$fot(X_20))]]) ).
cnf(refute_0_47,plain,
( ~ is_a_theorem(implies(implies(X_19,implies(falsehood,X_17)),X_20))
| is_a_theorem(implies(X_18,X_20)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_19,implies(falsehood,X_17)),X_20),implies(X_18,X_20))) )],[refute_0_46,refute_0_45]) ).
cnf(refute_0_48,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),implies(falsehood,X_37)),implies(implies(implies(falsehood,X_37),X),implies(Z,X))))
| is_a_theorem(implies(X_38,implies(implies(implies(falsehood,X_37),X),implies(Z,X)))) ),
inference(subst,[],[refute_0_47:[bind(X_17,$fot(X_37)),bind(X_18,$fot(X_38)),bind(X_19,$fot(implies(implies(implies(X,Y),implies(Z,falsehood)),U))),bind(X_20,$fot(implies(implies(implies(falsehood,X_37),X),implies(Z,X))))]]) ).
cnf(refute_0_49,plain,
is_a_theorem(implies(X_38,implies(implies(implies(falsehood,X_37),X),implies(Z,X)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),implies(falsehood,X_37)),implies(implies(implies(falsehood,X_37),X),implies(Z,X)))) )],[refute_0_44,refute_0_48]) ).
cnf(refute_0_50,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_55),X_53),implies(X_54,X_53)))),
inference(subst,[],[refute_0_49:[bind(X,$fot(X_53)),bind(Z,$fot(X_54)),bind(X_37,$fot(X_55)),bind(X_38,$fot(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)))]]) ).
cnf(refute_0_51,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_55),X_53),implies(X_54,X_53)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_55),X_53),implies(X_54,X_53)))) )],[refute_0_50,refute_0_43]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_60),X_58),implies(X_59,X_58)),X_57),implies(X_61,X_57))),
inference(subst,[],[refute_0_51:[bind(X_4,$fot(X_57)),bind(X_53,$fot(X_58)),bind(X_54,$fot(X_59)),bind(X_55,$fot(X_60)),bind(X_6,$fot(X_61))]]) ).
cnf(refute_0_53,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,X_60),X_58),implies(X_59,X_58)),X_57))
| is_a_theorem(implies(X_61,X_57)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_60),X_58),implies(X_59,X_58)),X_57),implies(X_61,X_57))) )],[refute_0_52,refute_0_42]) ).
cnf(refute_0_54,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,X_60),X_808),implies(X_59,X_808)),implies(implies(implies(X_808,X_809),falsehood),implies(X_59,X_808))))
| is_a_theorem(implies(X_61,implies(implies(implies(X_808,X_809),falsehood),implies(X_59,X_808)))) ),
inference(subst,[],[refute_0_53:[bind(X_57,$fot(implies(implies(implies(X_808,X_809),falsehood),implies(X_59,X_808)))),bind(X_58,$fot(X_808))]]) ).
cnf(refute_0_55,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_802,X_803),falsehood),falsehood)),X_802),implies(X_806,X_802)))
| is_a_theorem(implies(implies(implies(X_806,X_802),X_4),implies(implies(implies(X_802,X_803),falsehood),X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_802)),bind(X_3,$fot(implies(X_806,X_802))),bind(X_6,$fot(implies(implies(X_802,X_803),falsehood)))]]) ).
cnf(refute_0_56,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(implies(X_4,X_5),falsehood),X_525)),implies(X_528,implies(implies(implies(X_4,X_5),falsehood),X_525))))
| is_a_theorem(implies(implies(implies(X_528,implies(implies(implies(X_4,X_5),falsehood),X_525)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(implies(X_4,X_5),falsehood),X_525))),bind(X_3,$fot(implies(X_528,implies(implies(implies(X_4,X_5),falsehood),X_525))))]]) ).
cnf(refute_0_57,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_163,falsehood),X_159),implies(implies(X_161,X_162),falsehood)),implies(X_6,falsehood)),X_161),implies(X_163,X_161)))
| is_a_theorem(implies(implies(implies(X_163,X_161),implies(implies(X_163,falsehood),X_159)),implies(X_6,implies(implies(X_163,falsehood),X_159)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_161)),bind(X_3,$fot(implies(X_163,X_161))),bind(X_4,$fot(implies(implies(X_163,falsehood),X_159))),bind(X_5,$fot(implies(implies(X_161,X_162),falsehood)))]]) ).
cnf(refute_0_58,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_158),implies(implies(implies(implies(X_6,falsehood),X_156),implies(implies(X_4,X_5),falsehood)),X_158)))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X_6,falsehood),X_156),implies(implies(X_4,X_5),falsehood)),X_158),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_158)),bind(X_3,$fot(implies(implies(implies(implies(X_6,falsehood),X_156),implies(implies(X_4,X_5),falsehood)),X_158)))]]) ).
cnf(refute_0_59,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),falsehood)),X_130),implies(X_132,X_130)))
| is_a_theorem(implies(implies(implies(X_132,X_130),X_4),implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_130)),bind(X_3,$fot(implies(X_132,X_130))),bind(X_6,$fot(implies(implies(X_130,X_131),implies(X_132,falsehood))))]]) ).
cnf(refute_0_60,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),falsehood)),X_130),implies(X_132,X_130))),
inference(subst,[],[refute_0_35:[bind(X_2,$fot(falsehood)),bind(X_4,$fot(X_130)),bind(X_5,$fot(X_131)),bind(X_6,$fot(X_132)),bind(X_74,$fot(implies(X_4,X_5)))]]) ).
cnf(refute_0_61,plain,
is_a_theorem(implies(implies(implies(X_132,X_130),X_4),implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_130,X_131),implies(X_132,falsehood)),falsehood)),X_130),implies(X_132,X_130))) )],[refute_0_60,refute_0_59]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_158),implies(implies(implies(implies(X_6,falsehood),X_156),implies(implies(X_4,X_5),falsehood)),X_158))),
inference(subst,[],[refute_0_61:[bind(X_130,$fot(implies(X_6,falsehood))),bind(X_131,$fot(X_156)),bind(X_132,$fot(implies(X_4,X_5))),bind(X_4,$fot(X_158))]]) ).
cnf(refute_0_63,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_6,falsehood),X_156),implies(implies(X_4,X_5),falsehood)),X_158),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_158),implies(implies(implies(implies(X_6,falsehood),X_156),implies(implies(X_4,X_5),falsehood)),X_158))) )],[refute_0_62,refute_0_58]) ).
cnf(refute_0_64,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_163,falsehood),X_159),implies(implies(X_161,X_162),falsehood)),implies(X_6,falsehood)),X_161),implies(X_163,X_161))),
inference(subst,[],[refute_0_63:[bind(X_156,$fot(X_159)),bind(X_158,$fot(implies(X_6,falsehood))),bind(X_4,$fot(X_161)),bind(X_5,$fot(X_162)),bind(X_6,$fot(X_163))]]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(implies(implies(X_163,X_161),implies(implies(X_163,falsehood),X_159)),implies(X_6,implies(implies(X_163,falsehood),X_159)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_163,falsehood),X_159),implies(implies(X_161,X_162),falsehood)),implies(X_6,falsehood)),X_161),implies(X_163,X_161))) )],[refute_0_64,refute_0_57]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(implies(X_4,X_5),falsehood),X_525)),implies(X_528,implies(implies(implies(X_4,X_5),falsehood),X_525)))),
inference(subst,[],[refute_0_65:[bind(X_159,$fot(X_525)),bind(X_161,$fot(implies(X_6,falsehood))),bind(X_163,$fot(implies(X_4,X_5))),bind(X_6,$fot(X_528))]]) ).
cnf(refute_0_67,plain,
is_a_theorem(implies(implies(implies(X_528,implies(implies(implies(X_4,X_5),falsehood),X_525)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(implies(X_4,X_5),falsehood),X_525)),implies(X_528,implies(implies(implies(X_4,X_5),falsehood),X_525)))) )],[refute_0_66,refute_0_56]) ).
cnf(refute_0_68,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_802,X_803),falsehood),falsehood)),X_802),implies(X_806,X_802))),
inference(subst,[],[refute_0_67:[bind(X_4,$fot(X_802)),bind(X_5,$fot(X_803)),bind(X_525,$fot(falsehood)),bind(X_528,$fot(implies(X_4,X_5))),bind(X_6,$fot(X_806))]]) ).
cnf(refute_0_69,plain,
is_a_theorem(implies(implies(implies(X_806,X_802),X_4),implies(implies(implies(X_802,X_803),falsehood),X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_802,X_803),falsehood),falsehood)),X_802),implies(X_806,X_802))) )],[refute_0_68,refute_0_55]) ).
cnf(refute_0_70,plain,
is_a_theorem(implies(implies(implies(implies(falsehood,X_60),X_808),implies(X_59,X_808)),implies(implies(implies(X_808,X_809),falsehood),implies(X_59,X_808)))),
inference(subst,[],[refute_0_69:[bind(X_4,$fot(implies(X_59,X_808))),bind(X_802,$fot(X_808)),bind(X_803,$fot(X_809)),bind(X_806,$fot(implies(falsehood,X_60)))]]) ).
cnf(refute_0_71,plain,
is_a_theorem(implies(X_61,implies(implies(implies(X_808,X_809),falsehood),implies(X_59,X_808)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(falsehood,X_60),X_808),implies(X_59,X_808)),implies(implies(implies(X_808,X_809),falsehood),implies(X_59,X_808)))) )],[refute_0_70,refute_0_54]) ).
cnf(refute_0_72,plain,
is_a_theorem(implies(X_816,implies(implies(implies(X_817,X_818),falsehood),implies(X_815,X_817)))),
inference(subst,[],[refute_0_71:[bind(X_59,$fot(X_815)),bind(X_61,$fot(X_816)),bind(X_808,$fot(X_817)),bind(X_809,$fot(X_818))]]) ).
cnf(refute_0_73,plain,
( ~ is_a_theorem(X_816)
| is_a_theorem(implies(implies(implies(X_817,X_818),falsehood),implies(X_815,X_817))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_816,implies(implies(implies(X_817,X_818),falsehood),implies(X_815,X_817)))) )],[refute_0_72,refute_0_41]) ).
cnf(refute_0_74,plain,
( ~ is_a_theorem(implies(falsehood,implies(X_6,X_28)))
| is_a_theorem(implies(implies(implies(X_831,X_832),falsehood),implies(X_829,X_831))) ),
inference(subst,[],[refute_0_73:[bind(X_815,$fot(X_829)),bind(X_816,$fot(implies(falsehood,implies(X_6,X_28)))),bind(X_817,$fot(X_831)),bind(X_818,$fot(X_832))]]) ).
cnf(refute_0_75,plain,
is_a_theorem(implies(implies(implies(X_831,X_832),falsehood),implies(X_829,X_831))),
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,implies(X_6,X_28))) )],[refute_0_22,refute_0_74]) ).
cnf(refute_0_76,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),falsehood),implies(X_833,implies(X_4,X_5)))),
inference(subst,[],[refute_0_75:[bind(X_829,$fot(X_833)),bind(X_831,$fot(implies(X_4,X_5))),bind(X_832,$fot(implies(X_6,falsehood)))]]) ).
cnf(refute_0_77,plain,
is_a_theorem(implies(implies(implies(X_833,implies(X_4,X_5)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),falsehood),implies(X_833,implies(X_4,X_5)))) )],[refute_0_76,refute_0_40]) ).
cnf(refute_0_78,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_885,falsehood)),X_885),implies(X_887,X_885))),
inference(subst,[],[refute_0_77:[bind(X_4,$fot(X_885)),bind(X_5,$fot(falsehood)),bind(X_6,$fot(X_887)),bind(X_833,$fot(implies(X_4,X_5)))]]) ).
cnf(refute_0_79,plain,
is_a_theorem(implies(implies(implies(X_887,X_885),X_4),implies(X_885,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_885,falsehood)),X_885),implies(X_887,X_885))) )],[refute_0_78,refute_0_39]) ).
cnf(refute_0_80,plain,
is_a_theorem(implies(implies(implies(X_887,X_885),X_1046),implies(X_885,X_1046))),
inference(subst,[],[refute_0_79:[bind(X_4,$fot(X_1046))]]) ).
cnf(refute_0_81,plain,
( ~ is_a_theorem(implies(implies(X_157,X_155),X_158))
| ~ is_a_theorem(implies(implies(implies(X_157,X_155),X_158),implies(implies(implies(X_155,X_156),implies(X_157,falsehood)),X_158)))
| is_a_theorem(implies(implies(implies(X_155,X_156),implies(X_157,falsehood)),X_158)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_157,X_155),X_158))),bind(Y,$fot(implies(implies(implies(X_155,X_156),implies(X_157,falsehood)),X_158)))]]) ).
cnf(refute_0_82,plain,
is_a_theorem(implies(implies(implies(X_157,X_155),X_158),implies(implies(implies(X_155,X_156),implies(X_157,falsehood)),X_158))),
inference(subst,[],[refute_0_61:[bind(X_130,$fot(X_155)),bind(X_131,$fot(X_156)),bind(X_132,$fot(X_157)),bind(X_4,$fot(X_158))]]) ).
cnf(refute_0_83,plain,
( ~ is_a_theorem(implies(implies(X_157,X_155),X_158))
| is_a_theorem(implies(implies(implies(X_155,X_156),implies(X_157,falsehood)),X_158)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_157,X_155),X_158),implies(implies(implies(X_155,X_156),implies(X_157,falsehood)),X_158))) )],[refute_0_82,refute_0_81]) ).
cnf(refute_0_84,plain,
( ~ is_a_theorem(implies(implies(implies(X_887,X_885),X_1046),implies(X_885,X_1046)))
| is_a_theorem(implies(implies(implies(X_1046,X_1047),implies(implies(X_887,X_885),falsehood)),implies(X_885,X_1046))) ),
inference(subst,[],[refute_0_83:[bind(X_155,$fot(X_1046)),bind(X_156,$fot(X_1047)),bind(X_157,$fot(implies(X_887,X_885))),bind(X_158,$fot(implies(X_885,X_1046)))]]) ).
cnf(refute_0_85,plain,
is_a_theorem(implies(implies(implies(X_1046,X_1047),implies(implies(X_887,X_885),falsehood)),implies(X_885,X_1046))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_887,X_885),X_1046),implies(X_885,X_1046))) )],[refute_0_80,refute_0_84]) ).
cnf(refute_0_86,plain,
is_a_theorem(implies(implies(implies(X_1158,X_1159),implies(implies(implies(implies(implies(X_132,falsehood),X_1158),X_131),implies(X_132,falsehood)),falsehood)),implies(implies(X_132,falsehood),X_1158))),
inference(subst,[],[refute_0_85:[bind(X_1046,$fot(X_1158)),bind(X_1047,$fot(X_1159)),bind(X_885,$fot(implies(X_132,falsehood))),bind(X_887,$fot(implies(implies(implies(X_132,falsehood),X_1158),X_131)))]]) ).
cnf(refute_0_87,plain,
is_a_theorem(implies(X_132,implies(implies(X_132,falsehood),X_1158))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1158,X_1159),implies(implies(implies(implies(implies(X_132,falsehood),X_1158),X_131),implies(X_132,falsehood)),falsehood)),implies(implies(X_132,falsehood),X_1158))) )],[refute_0_86,refute_0_38]) ).
cnf(refute_0_88,plain,
is_a_theorem(implies(implies(X_1979,X_1980),implies(implies(implies(X_1979,X_1980),falsehood),falsehood))),
inference(subst,[],[refute_0_87:[bind(X_1158,$fot(falsehood)),bind(X_132,$fot(implies(X_1979,X_1980)))]]) ).
cnf(refute_0_89,plain,
( ~ is_a_theorem(implies(implies(X_1309,X_1310),implies(X_1311,falsehood)))
| ~ is_a_theorem(implies(implies(implies(X_1309,X_1310),implies(X_1311,falsehood)),implies(X_1311,X_1309)))
| is_a_theorem(implies(X_1311,X_1309)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1309,X_1310),implies(X_1311,falsehood)))),bind(Y,$fot(implies(X_1311,X_1309)))]]) ).
cnf(refute_0_90,plain,
( ~ is_a_theorem(implies(implies(implies(X_1303,X_1304),implies(implies(implies(implies(X_1307,X_1303),X_131),implies(implies(implies(X_1303,X_1306),implies(X_1307,falsehood)),falsehood)),falsehood)),implies(X_1307,X_1303)))
| is_a_theorem(implies(implies(implies(X_1303,X_1306),implies(X_1307,falsehood)),implies(X_1307,X_1303))) ),
inference(subst,[],[refute_0_37:[bind(X_129,$fot(falsehood)),bind(X_130,$fot(implies(X_1307,X_1303))),bind(X_132,$fot(implies(implies(X_1303,X_1306),implies(X_1307,falsehood)))),bind(X_133,$fot(implies(X_1303,X_1304)))]]) ).
cnf(refute_0_91,plain,
is_a_theorem(implies(implies(implies(X_74,implies(implies(implies(X_1046,X_5),implies(X_6,falsehood)),X_2)),X_1046),implies(X_6,X_1046))),
inference(subst,[],[refute_0_35:[bind(X_4,$fot(X_1046))]]) ).
cnf(refute_0_92,plain,
( ~ is_a_theorem(implies(implies(implies(X_74,implies(implies(implies(X_1046,X_5),implies(X_6,falsehood)),X_2)),X_1046),implies(X_6,X_1046)))
| is_a_theorem(implies(implies(implies(X_1046,X_1047),implies(implies(X_74,implies(implies(implies(X_1046,X_5),implies(X_6,falsehood)),X_2)),falsehood)),implies(X_6,X_1046))) ),
inference(subst,[],[refute_0_83:[bind(X_155,$fot(X_1046)),bind(X_156,$fot(X_1047)),bind(X_157,$fot(implies(X_74,implies(implies(implies(X_1046,X_5),implies(X_6,falsehood)),X_2)))),bind(X_158,$fot(implies(X_6,X_1046)))]]) ).
cnf(refute_0_93,plain,
is_a_theorem(implies(implies(implies(X_1046,X_1047),implies(implies(X_74,implies(implies(implies(X_1046,X_5),implies(X_6,falsehood)),X_2)),falsehood)),implies(X_6,X_1046))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_74,implies(implies(implies(X_1046,X_5),implies(X_6,falsehood)),X_2)),X_1046),implies(X_6,X_1046))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
is_a_theorem(implies(implies(implies(X_1303,X_1304),implies(implies(implies(implies(X_1307,X_1303),X_131),implies(implies(implies(X_1303,X_1306),implies(X_1307,falsehood)),falsehood)),falsehood)),implies(X_1307,X_1303))),
inference(subst,[],[refute_0_93:[bind(X_1046,$fot(X_1303)),bind(X_1047,$fot(X_1304)),bind(X_2,$fot(falsehood)),bind(X_5,$fot(X_1306)),bind(X_6,$fot(X_1307)),bind(X_74,$fot(implies(implies(X_1307,X_1303),X_131)))]]) ).
cnf(refute_0_95,plain,
is_a_theorem(implies(implies(implies(X_1303,X_1306),implies(X_1307,falsehood)),implies(X_1307,X_1303))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1303,X_1304),implies(implies(implies(implies(X_1307,X_1303),X_131),implies(implies(implies(X_1303,X_1306),implies(X_1307,falsehood)),falsehood)),falsehood)),implies(X_1307,X_1303))) )],[refute_0_94,refute_0_90]) ).
cnf(refute_0_96,plain,
is_a_theorem(implies(implies(implies(X_1309,X_1310),implies(X_1311,falsehood)),implies(X_1311,X_1309))),
inference(subst,[],[refute_0_95:[bind(X_1303,$fot(X_1309)),bind(X_1306,$fot(X_1310)),bind(X_1307,$fot(X_1311))]]) ).
cnf(refute_0_97,plain,
( ~ is_a_theorem(implies(implies(X_1309,X_1310),implies(X_1311,falsehood)))
| is_a_theorem(implies(X_1311,X_1309)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1309,X_1310),implies(X_1311,falsehood)),implies(X_1311,X_1309))) )],[refute_0_96,refute_0_89]) ).
cnf(refute_0_98,plain,
( ~ is_a_theorem(implies(implies(X_1979,X_1980),implies(implies(implies(X_1979,X_1980),falsehood),falsehood)))
| is_a_theorem(implies(implies(implies(X_1979,X_1980),falsehood),X_1979)) ),
inference(subst,[],[refute_0_97:[bind(X_1309,$fot(X_1979)),bind(X_1310,$fot(X_1980)),bind(X_1311,$fot(implies(implies(X_1979,X_1980),falsehood)))]]) ).
cnf(refute_0_99,plain,
is_a_theorem(implies(implies(implies(X_1979,X_1980),falsehood),X_1979)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1979,X_1980),implies(implies(implies(X_1979,X_1980),falsehood),falsehood))) )],[refute_0_88,refute_0_98]) ).
cnf(refute_0_100,plain,
is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)),
inference(subst,[],[refute_0_99:[bind(X_1979,$fot(a)),bind(X_1980,$fot(falsehood))]]) ).
cnf(refute_0_101,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)) )],[refute_0_100,prove_c0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL036-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 4 10:56:14 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.66/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.82
% 0.66/0.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.66/0.84
%------------------------------------------------------------------------------