TSTP Solution File: LCL034-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 12:48:55 EDT 2022
% Result : Unsatisfiable 60.21s 60.37s
% Output : CNFRefutation 60.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 3
% Syntax : Number of clauses : 242 ( 135 unt; 0 nHn; 74 RR)
% Number of literals : 374 ( 0 equ; 133 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 934 ( 404 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_3,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(implies(X_419,X_418),X_419))
| ~ is_a_theorem(implies(implies(implies(X_419,X_418),X_419),implies(X_420,X_419)))
| is_a_theorem(implies(X_420,X_419)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_419,X_418),X_419))),bind(Y,$fot(implies(X_420,X_419)))]]) ).
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_413,falsehood),implies(X_6,falsehood)),X_411),implies(X_413,X_411)))
| is_a_theorem(implies(implies(implies(X_413,X_411),X_413),implies(X_6,X_413))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_411)),bind(X_3,$fot(implies(X_413,X_411))),bind(X_4,$fot(X_413)),bind(X_5,$fot(falsehood))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_404),implies(implies(X_6,falsehood),X_404)))
| is_a_theorem(implies(implies(implies(implies(X_6,falsehood),X_404),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_404)),bind(X_3,$fot(implies(implies(X_6,falsehood),X_404)))]]) ).
cnf(refute_0_6,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_401,falsehood)),X_401),implies(X_403,X_401)))
| is_a_theorem(implies(implies(implies(X_403,X_401),X_4),implies(X_401,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_401)),bind(X_3,$fot(implies(X_403,X_401))),bind(X_6,$fot(X_401))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(falsehood,X_399),falsehood)),implies(X_398,implies(X_4,X_5))))
| is_a_theorem(implies(implies(implies(X_398,implies(X_4,X_5)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(falsehood,X_399),falsehood))),bind(X_3,$fot(implies(X_398,implies(X_4,X_5))))]]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_23),implies(falsehood,X_23)))
| is_a_theorem(implies(implies(implies(falsehood,X_23),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_23)),bind(X_3,$fot(implies(falsehood,X_23)))]]) ).
cnf(refute_0_9,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(falsehood,falsehood)),X_20),implies(X_18,X_20)))
| is_a_theorem(implies(implies(implies(X_18,X_20),X_4),implies(falsehood,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_20)),bind(X_3,$fot(implies(X_18,X_20))),bind(X_6,$fot(falsehood))]]) ).
cnf(refute_0_10,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,$fot(X_14))]]) ).
cnf(refute_0_11,plain,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(X_11,falsehood)),X_7),implies(implies(X_7,X),implies(Z,X)))),
inference(subst,[],[c0_CAMerideth:[bind(U,$fot(implies(X_11,falsehood))),bind(V,$fot(X_7))]]) ).
cnf(refute_0_12,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(X_11,falsehood)),X_7),implies(implies(X_7,X),implies(Z,X))))
| is_a_theorem(implies(implies(implies(implies(X_7,X),implies(Z,X)),implies(X,Y)),implies(X_11,implies(X,Y)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$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_13,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,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),implies(X_11,falsehood)),X_7),implies(implies(X_7,X),implies(Z,X)))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
is_a_theorem(implies(implies(implies(implies(X_16,falsehood),implies(X_14,falsehood)),implies(falsehood,X_13)),implies(X_15,implies(falsehood,X_13)))),
inference(subst,[],[refute_0_13:[bind(X,$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_15,plain,
is_a_theorem(implies(implies(implies(X_15,implies(falsehood,X_13)),X_16),implies(X_14,X_16))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_16,falsehood),implies(X_14,falsehood)),implies(falsehood,X_13)),implies(X_15,implies(falsehood,X_13)))) )],[refute_0_14,refute_0_10]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(falsehood,falsehood)),X_20),implies(X_18,X_20))),
inference(subst,[],[refute_0_15:[bind(X_13,$fot(falsehood)),bind(X_14,$fot(X_18)),bind(X_15,$fot(implies(X_4,X_5))),bind(X_16,$fot(X_20))]]) ).
cnf(refute_0_17,plain,
is_a_theorem(implies(implies(implies(X_18,X_20),X_4),implies(falsehood,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(falsehood,falsehood)),X_20),implies(X_18,X_20))) )],[refute_0_16,refute_0_9]) ).
cnf(refute_0_18,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_17:[bind(X_18,$fot(implies(X_4,X_5))),bind(X_20,$fot(implies(X_6,falsehood))),bind(X_4,$fot(X_23))]]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(implies(implies(falsehood,X_23),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_23),implies(falsehood,X_23))) )],[refute_0_18,refute_0_8]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(implies(implies(falsehood,X_23),X_28),implies(X_6,X_28))),
inference(subst,[],[refute_0_19:[bind(X_4,$fot(X_28))]]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(implies(implies(X_21,X_22),X_23))
| ~ is_a_theorem(implies(implies(implies(X_21,X_22),X_23),implies(falsehood,X_23)))
| is_a_theorem(implies(falsehood,X_23)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_21,X_22),X_23))),bind(Y,$fot(implies(falsehood,X_23)))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(implies(implies(implies(X_21,X_22),X_23),implies(falsehood,X_23))),
inference(subst,[],[refute_0_17:[bind(X_18,$fot(X_21)),bind(X_20,$fot(X_22)),bind(X_4,$fot(X_23))]]) ).
cnf(refute_0_23,plain,
( ~ is_a_theorem(implies(implies(X_21,X_22),X_23))
| is_a_theorem(implies(falsehood,X_23)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_21,X_22),X_23),implies(falsehood,X_23))) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
( ~ is_a_theorem(implies(implies(implies(falsehood,X_23),X_28),implies(X_6,X_28)))
| is_a_theorem(implies(falsehood,implies(X_6,X_28))) ),
inference(subst,[],[refute_0_23:[bind(X_21,$fot(implies(falsehood,X_23))),bind(X_22,$fot(X_28)),bind(X_23,$fot(implies(X_6,X_28)))]]) ).
cnf(refute_0_25,plain,
is_a_theorem(implies(falsehood,implies(X_6,X_28))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(falsehood,X_23),X_28),implies(X_6,X_28))) )],[refute_0_20,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ is_a_theorem(X_358)
| ~ is_a_theorem(implies(X_358,implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355))))
| is_a_theorem(implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_358)),bind(Y,$fot(implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355))))]]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_140,X_141),implies(X_142,falsehood)),falsehood)),X_140),implies(X_142,X_140)))
| is_a_theorem(implies(implies(implies(X_142,X_140),X_4),implies(implies(implies(X_140,X_141),implies(X_142,falsehood)),X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_140)),bind(X_3,$fot(implies(X_142,X_140))),bind(X_6,$fot(implies(implies(X_140,X_141),implies(X_142,falsehood))))]]) ).
cnf(refute_0_28,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_78,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2))))
| is_a_theorem(implies(implies(implies(X_78,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,$fot(implies(X_78,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2))))]]) ).
cnf(refute_0_29,plain,
( ~ is_a_theorem(X_69)
| ~ is_a_theorem(implies(X_69,implies(X_67,implies(X_68,X_67))))
| is_a_theorem(implies(X_67,implies(X_68,X_67))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_69)),bind(Y,$fot(implies(X_67,implies(X_68,X_67))))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(implies(implies(falsehood,X_62),implies(X_64,X_62)),implies(X_62,implies(X_64,X_62)))),
inference(subst,[],[refute_0_19:[bind(X_23,$fot(X_62)),bind(X_4,$fot(implies(X_64,X_62))),bind(X_6,$fot(X_62))]]) ).
cnf(refute_0_31,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_32,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_13:[bind(X,$fot(X_12)),bind(Y,$fot(X_13)),bind(Z,$fot(X_14)),bind(X_11,$fot(X_15)),bind(X_7,$fot(X_16))]]) ).
cnf(refute_0_33,plain,
( ~ is_a_theorem(implies(implies(implies(X_16,X_12),implies(X_14,X_12)),implies(X_12,X_13)))
| is_a_theorem(implies(X_15,implies(X_12,X_13))) ),
inference(resolve,[$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_32,refute_0_31]) ).
cnf(refute_0_34,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_33:[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,$fot(falsehood))]]) ).
cnf(refute_0_35,plain,
is_a_theorem(implies(X_65,implies(X_62,implies(X_64,X_62)))),
inference(resolve,[$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_30,refute_0_34]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(X_69,implies(X_67,implies(X_68,X_67)))),
inference(subst,[],[refute_0_35:[bind(X_62,$fot(X_67)),bind(X_64,$fot(X_68)),bind(X_65,$fot(X_69))]]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(X_69)
| is_a_theorem(implies(X_67,implies(X_68,X_67))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_69,implies(X_67,implies(X_68,X_67)))) )],[refute_0_36,refute_0_29]) ).
cnf(refute_0_38,plain,
( ~ is_a_theorem(implies(falsehood,implies(X_6,X_28)))
| is_a_theorem(implies(X_74,implies(X_75,X_74))) ),
inference(subst,[],[refute_0_37:[bind(X_67,$fot(X_74)),bind(X_68,$fot(X_75)),bind(X_69,$fot(implies(falsehood,implies(X_6,X_28))))]]) ).
cnf(refute_0_39,plain,
is_a_theorem(implies(X_74,implies(X_75,X_74))),
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,implies(X_6,X_28))) )],[refute_0_25,refute_0_38]) ).
cnf(refute_0_40,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_78,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)))),
inference(subst,[],[refute_0_39:[bind(X_74,$fot(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2))),bind(X_75,$fot(X_78))]]) ).
cnf(refute_0_41,plain,
is_a_theorem(implies(implies(implies(X_78,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_78,implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)))) )],[refute_0_40,refute_0_28]) ).
cnf(refute_0_42,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_140,X_141),implies(X_142,falsehood)),falsehood)),X_140),implies(X_142,X_140))),
inference(subst,[],[refute_0_41:[bind(X_2,$fot(falsehood)),bind(X_4,$fot(X_140)),bind(X_5,$fot(X_141)),bind(X_6,$fot(X_142)),bind(X_78,$fot(implies(X_4,X_5)))]]) ).
cnf(refute_0_43,plain,
is_a_theorem(implies(implies(implies(X_142,X_140),X_4),implies(implies(implies(X_140,X_141),implies(X_142,falsehood)),X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_140,X_141),implies(X_142,falsehood)),falsehood)),X_140),implies(X_142,X_140))) )],[refute_0_42,refute_0_27]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(implies(implies(implies(falsehood,X_352),X_350),implies(X_351,X_350)),implies(implies(implies(X_350,X_141),implies(implies(falsehood,X_352),falsehood)),implies(X_351,X_350)))),
inference(subst,[],[refute_0_43:[bind(X_140,$fot(X_350)),bind(X_142,$fot(implies(falsehood,X_352))),bind(X_4,$fot(implies(X_351,X_350)))]]) ).
cnf(refute_0_45,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_46,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_46),X_44),implies(X_45,X_44))))
| is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_46),X_44),implies(X_45,X_44)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_3,$fot(implies(implies(implies(falsehood,X_46),X_44),implies(X_45,X_44))))]]) ).
cnf(refute_0_47,plain,
is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),implies(falsehood,X_37)),implies(implies(implies(falsehood,X_37),X),implies(Z,X)))),
inference(subst,[],[c0_CAMerideth:[bind(V,$fot(implies(falsehood,X_37)))]]) ).
cnf(refute_0_48,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_49,plain,
is_a_theorem(implies(implies(implies(X_19,implies(falsehood,X_17)),X_20),implies(X_18,X_20))),
inference(subst,[],[refute_0_15:[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_50,plain,
( ~ is_a_theorem(implies(implies(X_19,implies(falsehood,X_17)),X_20))
| is_a_theorem(implies(X_18,X_20)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_19,implies(falsehood,X_17)),X_20),implies(X_18,X_20))) )],[refute_0_49,refute_0_48]) ).
cnf(refute_0_51,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),implies(falsehood,X_37)),implies(implies(implies(falsehood,X_37),X),implies(Z,X))))
| is_a_theorem(implies(X_38,implies(implies(implies(falsehood,X_37),X),implies(Z,X)))) ),
inference(subst,[],[refute_0_50:[bind(X_17,$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,$fot(implies(implies(implies(falsehood,X_37),X),implies(Z,X))))]]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(X_38,implies(implies(implies(falsehood,X_37),X),implies(Z,X)))),
inference(resolve,[$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_47,refute_0_51]) ).
cnf(refute_0_53,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_46),X_44),implies(X_45,X_44)))),
inference(subst,[],[refute_0_52:[bind(X,$fot(X_44)),bind(Z,$fot(X_45)),bind(X_37,$fot(X_46)),bind(X_38,$fot(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)))]]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_46),X_44),implies(X_45,X_44)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_46),X_44),implies(X_45,X_44)))) )],[refute_0_53,refute_0_46]) ).
cnf(refute_0_55,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_60),X_58),implies(X_59,X_58)),X_57),implies(X_61,X_57))),
inference(subst,[],[refute_0_54:[bind(X_4,$fot(X_57)),bind(X_44,$fot(X_58)),bind(X_45,$fot(X_59)),bind(X_46,$fot(X_60)),bind(X_6,$fot(X_61))]]) ).
cnf(refute_0_56,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,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_60),X_58),implies(X_59,X_58)),X_57),implies(X_61,X_57))) )],[refute_0_55,refute_0_45]) ).
cnf(refute_0_57,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,X_352),X_350),implies(X_351,X_350)),implies(implies(implies(X_350,X_141),implies(implies(falsehood,X_352),falsehood)),implies(X_351,X_350))))
| is_a_theorem(implies(X_353,implies(implies(implies(X_350,X_141),implies(implies(falsehood,X_352),falsehood)),implies(X_351,X_350)))) ),
inference(subst,[],[refute_0_56:[bind(X_57,$fot(implies(implies(implies(X_350,X_141),implies(implies(falsehood,X_352),falsehood)),implies(X_351,X_350)))),bind(X_58,$fot(X_350)),bind(X_59,$fot(X_351)),bind(X_60,$fot(X_352)),bind(X_61,$fot(X_353))]]) ).
cnf(refute_0_58,plain,
is_a_theorem(implies(X_353,implies(implies(implies(X_350,X_141),implies(implies(falsehood,X_352),falsehood)),implies(X_351,X_350)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(falsehood,X_352),X_350),implies(X_351,X_350)),implies(implies(implies(X_350,X_141),implies(implies(falsehood,X_352),falsehood)),implies(X_351,X_350)))) )],[refute_0_44,refute_0_57]) ).
cnf(refute_0_59,plain,
is_a_theorem(implies(X_358,implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355)))),
inference(subst,[],[refute_0_58:[bind(X_141,$fot(X_354)),bind(X_350,$fot(X_355)),bind(X_351,$fot(X_356)),bind(X_352,$fot(X_357)),bind(X_353,$fot(X_358))]]) ).
cnf(refute_0_60,plain,
( ~ is_a_theorem(X_358)
| is_a_theorem(implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_358,implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355)))) )],[refute_0_59,refute_0_26]) ).
cnf(refute_0_61,plain,
( ~ is_a_theorem(implies(falsehood,implies(X_6,X_28)))
| is_a_theorem(implies(implies(implies(X_392,X_391),implies(implies(falsehood,X_394),falsehood)),implies(X_393,X_392))) ),
inference(subst,[],[refute_0_60:[bind(X_354,$fot(X_391)),bind(X_355,$fot(X_392)),bind(X_356,$fot(X_393)),bind(X_357,$fot(X_394)),bind(X_358,$fot(implies(falsehood,implies(X_6,X_28))))]]) ).
cnf(refute_0_62,plain,
is_a_theorem(implies(implies(implies(X_392,X_391),implies(implies(falsehood,X_394),falsehood)),implies(X_393,X_392))),
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,implies(X_6,X_28))) )],[refute_0_25,refute_0_61]) ).
cnf(refute_0_63,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(falsehood,X_399),falsehood)),implies(X_398,implies(X_4,X_5)))),
inference(subst,[],[refute_0_62:[bind(X_391,$fot(implies(X_6,falsehood))),bind(X_392,$fot(implies(X_4,X_5))),bind(X_393,$fot(X_398)),bind(X_394,$fot(X_399))]]) ).
cnf(refute_0_64,plain,
is_a_theorem(implies(implies(implies(X_398,implies(X_4,X_5)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(falsehood,X_399),falsehood)),implies(X_398,implies(X_4,X_5)))) )],[refute_0_63,refute_0_7]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_401,falsehood)),X_401),implies(X_403,X_401))),
inference(subst,[],[refute_0_64:[bind(X_398,$fot(implies(X_4,X_5))),bind(X_4,$fot(X_401)),bind(X_5,$fot(falsehood)),bind(X_6,$fot(X_403))]]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(implies(implies(X_403,X_401),X_4),implies(X_401,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_401,falsehood)),X_401),implies(X_403,X_401))) )],[refute_0_65,refute_0_6]) ).
cnf(refute_0_67,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_404),implies(implies(X_6,falsehood),X_404))),
inference(subst,[],[refute_0_66:[bind(X_4,$fot(X_404)),bind(X_401,$fot(implies(X_6,falsehood))),bind(X_403,$fot(implies(X_4,X_5)))]]) ).
cnf(refute_0_68,plain,
is_a_theorem(implies(implies(implies(implies(X_6,falsehood),X_404),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_404),implies(implies(X_6,falsehood),X_404))) )],[refute_0_67,refute_0_5]) ).
cnf(refute_0_69,plain,
is_a_theorem(implies(implies(implies(implies(X_413,falsehood),implies(X_6,falsehood)),X_411),implies(X_413,X_411))),
inference(subst,[],[refute_0_68:[bind(X_4,$fot(X_411)),bind(X_404,$fot(implies(X_6,falsehood))),bind(X_6,$fot(X_413))]]) ).
cnf(refute_0_70,plain,
is_a_theorem(implies(implies(implies(X_413,X_411),X_413),implies(X_6,X_413))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_413,falsehood),implies(X_6,falsehood)),X_411),implies(X_413,X_411))) )],[refute_0_69,refute_0_4]) ).
cnf(refute_0_71,plain,
is_a_theorem(implies(implies(implies(X_419,X_418),X_419),implies(X_420,X_419))),
inference(subst,[],[refute_0_70:[bind(X_411,$fot(X_418)),bind(X_413,$fot(X_419)),bind(X_6,$fot(X_420))]]) ).
cnf(refute_0_72,plain,
( ~ is_a_theorem(implies(implies(X_419,X_418),X_419))
| is_a_theorem(implies(X_420,X_419)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_419,X_418),X_419),implies(X_420,X_419))) )],[refute_0_71,refute_0_0]) ).
cnf(refute_0_73,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_15215,X_15214),X_15215),X_15215),falsehood),implies(implies(implies(X_15215,X_15214),X_15215),X_15215)))
| is_a_theorem(implies(X_420,implies(implies(implies(X_15215,X_15214),X_15215),X_15215))) ),
inference(subst,[],[refute_0_72:[bind(X_418,$fot(falsehood)),bind(X_419,$fot(implies(implies(implies(X_15215,X_15214),X_15215),X_15215)))]]) ).
cnf(refute_0_74,plain,
( ~ is_a_theorem(implies(X_5802,X_5801))
| ~ is_a_theorem(implies(implies(X_5802,X_5801),implies(implies(implies(X_5802,X_5803),falsehood),X_5801)))
| is_a_theorem(implies(implies(implies(X_5802,X_5803),falsehood),X_5801)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_5802,X_5801))),bind(Y,$fot(implies(implies(implies(X_5802,X_5803),falsehood),X_5801)))]]) ).
cnf(refute_0_75,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_5797,X_5798),falsehood),falsehood)),falsehood),X_5797))
| is_a_theorem(implies(implies(X_5797,X_4),implies(implies(implies(X_5797,X_5798),falsehood),X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(falsehood)),bind(X_3,$fot(X_5797)),bind(X_6,$fot(implies(implies(X_5797,X_5798),falsehood)))]]) ).
cnf(refute_0_76,plain,
( ~ is_a_theorem(implies(implies(X_1784,X_1785),implies(X_1786,falsehood)))
| ~ is_a_theorem(implies(implies(implies(X_1784,X_1785),implies(X_1786,falsehood)),implies(X_1786,X_1784)))
| is_a_theorem(implies(X_1786,X_1784)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1784,X_1785),implies(X_1786,falsehood)))),bind(Y,$fot(implies(X_1786,X_1784)))]]) ).
cnf(refute_0_77,plain,
( ~ is_a_theorem(X_980)
| ~ is_a_theorem(implies(X_980,implies(X_979,X_979)))
| is_a_theorem(implies(X_979,X_979)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_980)),bind(Y,$fot(implies(X_979,X_979)))]]) ).
cnf(refute_0_78,plain,
( ~ is_a_theorem(X_660)
| ~ is_a_theorem(implies(X_660,implies(implies(implies(X_661,X_662),falsehood),implies(X_659,X_661))))
| is_a_theorem(implies(implies(implies(X_661,X_662),falsehood),implies(X_659,X_661))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_660)),bind(Y,$fot(implies(implies(implies(X_661,X_662),falsehood),implies(X_659,X_661))))]]) ).
cnf(refute_0_79,plain,
( ~ is_a_theorem(implies(implies(implies(implies(falsehood,X_60),X_656),implies(X_59,X_656)),implies(implies(implies(X_656,X_657),falsehood),implies(X_59,X_656))))
| is_a_theorem(implies(X_61,implies(implies(implies(X_656,X_657),falsehood),implies(X_59,X_656)))) ),
inference(subst,[],[refute_0_56:[bind(X_57,$fot(implies(implies(implies(X_656,X_657),falsehood),implies(X_59,X_656)))),bind(X_58,$fot(X_656))]]) ).
cnf(refute_0_80,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_565,X_566),falsehood),falsehood)),X_565),implies(X_569,X_565)))
| is_a_theorem(implies(implies(implies(X_569,X_565),X_4),implies(implies(implies(X_565,X_566),falsehood),X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_565)),bind(X_3,$fot(implies(X_569,X_565))),bind(X_6,$fot(implies(implies(X_565,X_566),falsehood)))]]) ).
cnf(refute_0_81,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(implies(X_4,X_5),falsehood),X_548)),implies(X_551,implies(implies(implies(X_4,X_5),falsehood),X_548))))
| is_a_theorem(implies(implies(implies(X_551,implies(implies(implies(X_4,X_5),falsehood),X_548)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(implies(X_4,X_5),falsehood),X_548))),bind(X_3,$fot(implies(X_551,implies(implies(implies(X_4,X_5),falsehood),X_548))))]]) ).
cnf(refute_0_82,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_493,falsehood),X_489),implies(implies(X_491,X_492),falsehood)),implies(X_6,falsehood)),X_491),implies(X_493,X_491)))
| is_a_theorem(implies(implies(implies(X_493,X_491),implies(implies(X_493,falsehood),X_489)),implies(X_6,implies(implies(X_493,falsehood),X_489)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_491)),bind(X_3,$fot(implies(X_493,X_491))),bind(X_4,$fot(implies(implies(X_493,falsehood),X_489))),bind(X_5,$fot(implies(implies(X_491,X_492),falsehood)))]]) ).
cnf(refute_0_83,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_176),implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_4,X_5),falsehood)),X_176)))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_4,X_5),falsehood)),X_176),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_176)),bind(X_3,$fot(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_4,X_5),falsehood)),X_176)))]]) ).
cnf(refute_0_84,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_176),implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_4,X_5),falsehood)),X_176))),
inference(subst,[],[refute_0_43:[bind(X_140,$fot(implies(X_6,falsehood))),bind(X_141,$fot(X_174)),bind(X_142,$fot(implies(X_4,X_5))),bind(X_4,$fot(X_176))]]) ).
cnf(refute_0_85,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_4,X_5),falsehood)),X_176),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_176),implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_4,X_5),falsehood)),X_176))) )],[refute_0_84,refute_0_83]) ).
cnf(refute_0_86,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_493,falsehood),X_489),implies(implies(X_491,X_492),falsehood)),implies(X_6,falsehood)),X_491),implies(X_493,X_491))),
inference(subst,[],[refute_0_85:[bind(X_174,$fot(X_489)),bind(X_176,$fot(implies(X_6,falsehood))),bind(X_4,$fot(X_491)),bind(X_5,$fot(X_492)),bind(X_6,$fot(X_493))]]) ).
cnf(refute_0_87,plain,
is_a_theorem(implies(implies(implies(X_493,X_491),implies(implies(X_493,falsehood),X_489)),implies(X_6,implies(implies(X_493,falsehood),X_489)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_493,falsehood),X_489),implies(implies(X_491,X_492),falsehood)),implies(X_6,falsehood)),X_491),implies(X_493,X_491))) )],[refute_0_86,refute_0_82]) ).
cnf(refute_0_88,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_548)),implies(X_551,implies(implies(implies(X_4,X_5),falsehood),X_548)))),
inference(subst,[],[refute_0_87:[bind(X_489,$fot(X_548)),bind(X_491,$fot(implies(X_6,falsehood))),bind(X_493,$fot(implies(X_4,X_5))),bind(X_6,$fot(X_551))]]) ).
cnf(refute_0_89,plain,
is_a_theorem(implies(implies(implies(X_551,implies(implies(implies(X_4,X_5),falsehood),X_548)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(implies(X_4,X_5),falsehood),X_548)),implies(X_551,implies(implies(implies(X_4,X_5),falsehood),X_548)))) )],[refute_0_88,refute_0_81]) ).
cnf(refute_0_90,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_565,X_566),falsehood),falsehood)),X_565),implies(X_569,X_565))),
inference(subst,[],[refute_0_89:[bind(X_4,$fot(X_565)),bind(X_5,$fot(X_566)),bind(X_548,$fot(falsehood)),bind(X_551,$fot(implies(X_4,X_5))),bind(X_6,$fot(X_569))]]) ).
cnf(refute_0_91,plain,
is_a_theorem(implies(implies(implies(X_569,X_565),X_4),implies(implies(implies(X_565,X_566),falsehood),X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_565,X_566),falsehood),falsehood)),X_565),implies(X_569,X_565))) )],[refute_0_90,refute_0_80]) ).
cnf(refute_0_92,plain,
is_a_theorem(implies(implies(implies(implies(falsehood,X_60),X_656),implies(X_59,X_656)),implies(implies(implies(X_656,X_657),falsehood),implies(X_59,X_656)))),
inference(subst,[],[refute_0_91:[bind(X_4,$fot(implies(X_59,X_656))),bind(X_565,$fot(X_656)),bind(X_566,$fot(X_657)),bind(X_569,$fot(implies(falsehood,X_60)))]]) ).
cnf(refute_0_93,plain,
is_a_theorem(implies(X_61,implies(implies(implies(X_656,X_657),falsehood),implies(X_59,X_656)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(falsehood,X_60),X_656),implies(X_59,X_656)),implies(implies(implies(X_656,X_657),falsehood),implies(X_59,X_656)))) )],[refute_0_92,refute_0_79]) ).
cnf(refute_0_94,plain,
is_a_theorem(implies(X_660,implies(implies(implies(X_661,X_662),falsehood),implies(X_659,X_661)))),
inference(subst,[],[refute_0_93:[bind(X_59,$fot(X_659)),bind(X_61,$fot(X_660)),bind(X_656,$fot(X_661)),bind(X_657,$fot(X_662))]]) ).
cnf(refute_0_95,plain,
( ~ is_a_theorem(X_660)
| is_a_theorem(implies(implies(implies(X_661,X_662),falsehood),implies(X_659,X_661))) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_660,implies(implies(implies(X_661,X_662),falsehood),implies(X_659,X_661)))) )],[refute_0_94,refute_0_78]) ).
cnf(refute_0_96,plain,
( ~ is_a_theorem(implies(falsehood,implies(X_6,X_28)))
| is_a_theorem(implies(implies(implies(X_894,X_895),falsehood),implies(X_892,X_894))) ),
inference(subst,[],[refute_0_95:[bind(X_659,$fot(X_892)),bind(X_660,$fot(implies(falsehood,implies(X_6,X_28)))),bind(X_661,$fot(X_894)),bind(X_662,$fot(X_895))]]) ).
cnf(refute_0_97,plain,
is_a_theorem(implies(implies(implies(X_894,X_895),falsehood),implies(X_892,X_894))),
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,implies(X_6,X_28))) )],[refute_0_25,refute_0_96]) ).
cnf(refute_0_98,plain,
is_a_theorem(implies(implies(implies(X_895,X_895),falsehood),implies(X_895,X_895))),
inference(subst,[],[refute_0_97:[bind(X_892,$fot(X_895)),bind(X_894,$fot(X_895))]]) ).
cnf(refute_0_99,plain,
( ~ is_a_theorem(implies(implies(implies(X_895,X_895),falsehood),implies(X_895,X_895)))
| is_a_theorem(implies(X_978,implies(X_895,X_895))) ),
inference(subst,[],[refute_0_72:[bind(X_418,$fot(falsehood)),bind(X_419,$fot(implies(X_895,X_895))),bind(X_420,$fot(X_978))]]) ).
cnf(refute_0_100,plain,
is_a_theorem(implies(X_978,implies(X_895,X_895))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_895,X_895),falsehood),implies(X_895,X_895))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
is_a_theorem(implies(X_980,implies(X_979,X_979))),
inference(subst,[],[refute_0_100:[bind(X_895,$fot(X_979)),bind(X_978,$fot(X_980))]]) ).
cnf(refute_0_102,plain,
( ~ is_a_theorem(X_980)
| is_a_theorem(implies(X_979,X_979)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_980,implies(X_979,X_979))) )],[refute_0_101,refute_0_77]) ).
cnf(refute_0_103,plain,
( ~ is_a_theorem(implies(falsehood,implies(X_6,X_28)))
| is_a_theorem(implies(X_1001,X_1001)) ),
inference(subst,[],[refute_0_102:[bind(X_979,$fot(X_1001)),bind(X_980,$fot(implies(falsehood,implies(X_6,X_28))))]]) ).
cnf(refute_0_104,plain,
is_a_theorem(implies(X_1001,X_1001)),
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,implies(X_6,X_28))) )],[refute_0_25,refute_0_103]) ).
cnf(refute_0_105,plain,
is_a_theorem(implies(implies(X_1726,X_1724),implies(X_1726,X_1724))),
inference(subst,[],[refute_0_104:[bind(X_1001,$fot(implies(X_1726,X_1724)))]]) ).
cnf(refute_0_106,plain,
( ~ is_a_theorem(implies(implies(X_175,X_173),X_176))
| ~ is_a_theorem(implies(implies(implies(X_175,X_173),X_176),implies(implies(implies(X_173,X_174),implies(X_175,falsehood)),X_176)))
| is_a_theorem(implies(implies(implies(X_173,X_174),implies(X_175,falsehood)),X_176)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_175,X_173),X_176))),bind(Y,$fot(implies(implies(implies(X_173,X_174),implies(X_175,falsehood)),X_176)))]]) ).
cnf(refute_0_107,plain,
is_a_theorem(implies(implies(implies(X_175,X_173),X_176),implies(implies(implies(X_173,X_174),implies(X_175,falsehood)),X_176))),
inference(subst,[],[refute_0_43:[bind(X_140,$fot(X_173)),bind(X_141,$fot(X_174)),bind(X_142,$fot(X_175)),bind(X_4,$fot(X_176))]]) ).
cnf(refute_0_108,plain,
( ~ is_a_theorem(implies(implies(X_175,X_173),X_176))
| is_a_theorem(implies(implies(implies(X_173,X_174),implies(X_175,falsehood)),X_176)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_175,X_173),X_176),implies(implies(implies(X_173,X_174),implies(X_175,falsehood)),X_176))) )],[refute_0_107,refute_0_106]) ).
cnf(refute_0_109,plain,
( ~ is_a_theorem(implies(implies(X_1726,X_1724),implies(X_1726,X_1724)))
| is_a_theorem(implies(implies(implies(X_1724,X_1725),implies(X_1726,falsehood)),implies(X_1726,X_1724))) ),
inference(subst,[],[refute_0_108:[bind(X_173,$fot(X_1724)),bind(X_174,$fot(X_1725)),bind(X_175,$fot(X_1726)),bind(X_176,$fot(implies(X_1726,X_1724)))]]) ).
cnf(refute_0_110,plain,
is_a_theorem(implies(implies(implies(X_1724,X_1725),implies(X_1726,falsehood)),implies(X_1726,X_1724))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1726,X_1724),implies(X_1726,X_1724))) )],[refute_0_105,refute_0_109]) ).
cnf(refute_0_111,plain,
is_a_theorem(implies(implies(implies(X_1784,X_1785),implies(X_1786,falsehood)),implies(X_1786,X_1784))),
inference(subst,[],[refute_0_110:[bind(X_1724,$fot(X_1784)),bind(X_1725,$fot(X_1785)),bind(X_1726,$fot(X_1786))]]) ).
cnf(refute_0_112,plain,
( ~ is_a_theorem(implies(implies(X_1784,X_1785),implies(X_1786,falsehood)))
| is_a_theorem(implies(X_1786,X_1784)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1784,X_1785),implies(X_1786,falsehood)),implies(X_1786,X_1784))) )],[refute_0_111,refute_0_76]) ).
cnf(refute_0_113,plain,
( ~ is_a_theorem(implies(implies(X_1784,X_1785),implies(implies(implies(X_3243,implies(implies(implies(X_1784,X_1785),falsehood),X_3242)),falsehood),falsehood)))
| is_a_theorem(implies(implies(implies(X_3243,implies(implies(implies(X_1784,X_1785),falsehood),X_3242)),falsehood),X_1784)) ),
inference(subst,[],[refute_0_112:[bind(X_1786,$fot(implies(implies(X_3243,implies(implies(implies(X_1784,X_1785),falsehood),X_3242)),falsehood)))]]) ).
cnf(refute_0_114,plain,
( ~ is_a_theorem(implies(implies(implies(X_413,falsehood),X_412),X_411))
| ~ is_a_theorem(implies(implies(implies(implies(X_413,falsehood),X_412),X_411),implies(X_413,X_411)))
| is_a_theorem(implies(X_413,X_411)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_413,falsehood),X_412),X_411))),bind(Y,$fot(implies(X_413,X_411)))]]) ).
cnf(refute_0_115,plain,
is_a_theorem(implies(implies(implies(implies(X_413,falsehood),X_412),X_411),implies(X_413,X_411))),
inference(subst,[],[refute_0_68:[bind(X_4,$fot(X_411)),bind(X_404,$fot(X_412)),bind(X_6,$fot(X_413))]]) ).
cnf(refute_0_116,plain,
( ~ is_a_theorem(implies(implies(implies(X_413,falsehood),X_412),X_411))
| is_a_theorem(implies(X_413,X_411)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_413,falsehood),X_412),X_411),implies(X_413,X_411))) )],[refute_0_115,refute_0_114]) ).
cnf(refute_0_117,plain,
( ~ is_a_theorem(implies(implies(implies(X_413,falsehood),falsehood),implies(implies(implies(X_2115,implies(implies(X_413,falsehood),X_2113)),falsehood),X_2112)))
| is_a_theorem(implies(X_413,implies(implies(implies(X_2115,implies(implies(X_413,falsehood),X_2113)),falsehood),X_2112))) ),
inference(subst,[],[refute_0_116:[bind(X_411,$fot(implies(implies(implies(X_2115,implies(implies(X_413,falsehood),X_2113)),falsehood),X_2112))),bind(X_412,$fot(falsehood))]]) ).
cnf(refute_0_118,plain,
( ~ is_a_theorem(implies(implies(X_406,X_405),X_404))
| ~ is_a_theorem(implies(implies(implies(X_406,X_405),X_404),implies(X_405,X_404)))
| is_a_theorem(implies(X_405,X_404)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_406,X_405),X_404))),bind(Y,$fot(implies(X_405,X_404)))]]) ).
cnf(refute_0_119,plain,
is_a_theorem(implies(implies(implies(X_406,X_405),X_404),implies(X_405,X_404))),
inference(subst,[],[refute_0_66:[bind(X_4,$fot(X_404)),bind(X_401,$fot(X_405)),bind(X_403,$fot(X_406))]]) ).
cnf(refute_0_120,plain,
( ~ is_a_theorem(implies(implies(X_406,X_405),X_404))
| is_a_theorem(implies(X_405,X_404)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_406,X_405),X_404),implies(X_405,X_404))) )],[refute_0_119,refute_0_118]) ).
cnf(refute_0_121,plain,
( ~ is_a_theorem(implies(implies(implies(X_1788,X_1789),implies(X_1790,falsehood)),implies(implies(implies(X_1791,implies(X_1790,X_1788)),falsehood),X_1787)))
| is_a_theorem(implies(implies(X_1790,falsehood),implies(implies(implies(X_1791,implies(X_1790,X_1788)),falsehood),X_1787))) ),
inference(subst,[],[refute_0_120:[bind(X_404,$fot(implies(implies(implies(X_1791,implies(X_1790,X_1788)),falsehood),X_1787))),bind(X_405,$fot(implies(X_1790,falsehood))),bind(X_406,$fot(implies(X_1788,X_1789)))]]) ).
cnf(refute_0_122,plain,
( ~ is_a_theorem(implies(implies(X_406,X_405),implies(implies(implies(X_406,X_405),falsehood),X_1238)))
| is_a_theorem(implies(X_405,implies(implies(implies(X_406,X_405),falsehood),X_1238))) ),
inference(subst,[],[refute_0_120:[bind(X_404,$fot(implies(implies(implies(X_406,X_405),falsehood),X_1238)))]]) ).
cnf(refute_0_123,plain,
is_a_theorem(implies(implies(implies(X_1237,falsehood),X_1236),implies(implies(X_1237,falsehood),X_1236))),
inference(subst,[],[refute_0_104:[bind(X_1001,$fot(implies(implies(X_1237,falsehood),X_1236)))]]) ).
cnf(refute_0_124,plain,
( ~ is_a_theorem(implies(implies(implies(X_1237,falsehood),X_1236),implies(implies(X_1237,falsehood),X_1236)))
| is_a_theorem(implies(X_1237,implies(implies(X_1237,falsehood),X_1236))) ),
inference(subst,[],[refute_0_116:[bind(X_411,$fot(implies(implies(X_1237,falsehood),X_1236))),bind(X_412,$fot(X_1236)),bind(X_413,$fot(X_1237))]]) ).
cnf(refute_0_125,plain,
is_a_theorem(implies(X_1237,implies(implies(X_1237,falsehood),X_1236))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1237,falsehood),X_1236),implies(implies(X_1237,falsehood),X_1236))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
is_a_theorem(implies(implies(X_406,X_405),implies(implies(implies(X_406,X_405),falsehood),X_1238))),
inference(subst,[],[refute_0_125:[bind(X_1236,$fot(X_1238)),bind(X_1237,$fot(implies(X_406,X_405)))]]) ).
cnf(refute_0_127,plain,
is_a_theorem(implies(X_405,implies(implies(implies(X_406,X_405),falsehood),X_1238))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_406,X_405),implies(implies(implies(X_406,X_405),falsehood),X_1238))) )],[refute_0_126,refute_0_122]) ).
cnf(refute_0_128,plain,
is_a_theorem(implies(implies(X_1726,X_1724),implies(implies(implies(X_406,implies(X_1726,X_1724)),falsehood),X_1238))),
inference(subst,[],[refute_0_127:[bind(X_405,$fot(implies(X_1726,X_1724)))]]) ).
cnf(refute_0_129,plain,
( ~ is_a_theorem(implies(implies(X_1726,X_1724),implies(implies(implies(X_406,implies(X_1726,X_1724)),falsehood),X_1238)))
| is_a_theorem(implies(implies(implies(X_1724,X_1725),implies(X_1726,falsehood)),implies(implies(implies(X_406,implies(X_1726,X_1724)),falsehood),X_1238))) ),
inference(subst,[],[refute_0_108:[bind(X_173,$fot(X_1724)),bind(X_174,$fot(X_1725)),bind(X_175,$fot(X_1726)),bind(X_176,$fot(implies(implies(implies(X_406,implies(X_1726,X_1724)),falsehood),X_1238)))]]) ).
cnf(refute_0_130,plain,
is_a_theorem(implies(implies(implies(X_1724,X_1725),implies(X_1726,falsehood)),implies(implies(implies(X_406,implies(X_1726,X_1724)),falsehood),X_1238))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1726,X_1724),implies(implies(implies(X_406,implies(X_1726,X_1724)),falsehood),X_1238))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
is_a_theorem(implies(implies(implies(X_1788,X_1789),implies(X_1790,falsehood)),implies(implies(implies(X_1791,implies(X_1790,X_1788)),falsehood),X_1787))),
inference(subst,[],[refute_0_130:[bind(X_1238,$fot(X_1787)),bind(X_1724,$fot(X_1788)),bind(X_1725,$fot(X_1789)),bind(X_1726,$fot(X_1790)),bind(X_406,$fot(X_1791))]]) ).
cnf(refute_0_132,plain,
is_a_theorem(implies(implies(X_1790,falsehood),implies(implies(implies(X_1791,implies(X_1790,X_1788)),falsehood),X_1787))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1788,X_1789),implies(X_1790,falsehood)),implies(implies(implies(X_1791,implies(X_1790,X_1788)),falsehood),X_1787))) )],[refute_0_131,refute_0_121]) ).
cnf(refute_0_133,plain,
is_a_theorem(implies(implies(implies(X_413,falsehood),falsehood),implies(implies(implies(X_2115,implies(implies(X_413,falsehood),X_2113)),falsehood),X_2112))),
inference(subst,[],[refute_0_132:[bind(X_1787,$fot(X_2112)),bind(X_1788,$fot(X_2113)),bind(X_1790,$fot(implies(X_413,falsehood))),bind(X_1791,$fot(X_2115))]]) ).
cnf(refute_0_134,plain,
is_a_theorem(implies(X_413,implies(implies(implies(X_2115,implies(implies(X_413,falsehood),X_2113)),falsehood),X_2112))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_413,falsehood),falsehood),implies(implies(implies(X_2115,implies(implies(X_413,falsehood),X_2113)),falsehood),X_2112))) )],[refute_0_133,refute_0_117]) ).
cnf(refute_0_135,plain,
is_a_theorem(implies(implies(X_1784,X_1785),implies(implies(implies(X_3243,implies(implies(implies(X_1784,X_1785),falsehood),X_3242)),falsehood),falsehood))),
inference(subst,[],[refute_0_134:[bind(X_2112,$fot(falsehood)),bind(X_2113,$fot(X_3242)),bind(X_2115,$fot(X_3243)),bind(X_413,$fot(implies(X_1784,X_1785)))]]) ).
cnf(refute_0_136,plain,
is_a_theorem(implies(implies(implies(X_3243,implies(implies(implies(X_1784,X_1785),falsehood),X_3242)),falsehood),X_1784)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1784,X_1785),implies(implies(implies(X_3243,implies(implies(implies(X_1784,X_1785),falsehood),X_3242)),falsehood),falsehood))) )],[refute_0_135,refute_0_113]) ).
cnf(refute_0_137,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_5797,X_5798),falsehood),falsehood)),falsehood),X_5797)),
inference(subst,[],[refute_0_136:[bind(X_1784,$fot(X_5797)),bind(X_1785,$fot(X_5798)),bind(X_3242,$fot(falsehood)),bind(X_3243,$fot(implies(X_4,X_5)))]]) ).
cnf(refute_0_138,plain,
is_a_theorem(implies(implies(X_5797,X_4),implies(implies(implies(X_5797,X_5798),falsehood),X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(implies(X_5797,X_5798),falsehood),falsehood)),falsehood),X_5797)) )],[refute_0_137,refute_0_75]) ).
cnf(refute_0_139,plain,
is_a_theorem(implies(implies(X_5802,X_5801),implies(implies(implies(X_5802,X_5803),falsehood),X_5801))),
inference(subst,[],[refute_0_138:[bind(X_4,$fot(X_5801)),bind(X_5797,$fot(X_5802)),bind(X_5798,$fot(X_5803))]]) ).
cnf(refute_0_140,plain,
( ~ is_a_theorem(implies(X_5802,X_5801))
| is_a_theorem(implies(implies(implies(X_5802,X_5803),falsehood),X_5801)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5802,X_5801),implies(implies(implies(X_5802,X_5803),falsehood),X_5801))) )],[refute_0_139,refute_0_74]) ).
cnf(refute_0_141,plain,
( ~ is_a_theorem(implies(implies(implies(X_413,X_411),X_413),implies(X_6,X_413)))
| is_a_theorem(implies(implies(implies(implies(implies(X_413,X_411),X_413),X_15212),falsehood),implies(X_6,X_413))) ),
inference(subst,[],[refute_0_140:[bind(X_5801,$fot(implies(X_6,X_413))),bind(X_5802,$fot(implies(implies(X_413,X_411),X_413))),bind(X_5803,$fot(X_15212))]]) ).
cnf(refute_0_142,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_413,X_411),X_413),X_15212),falsehood),implies(X_6,X_413))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_413,X_411),X_413),implies(X_6,X_413))) )],[refute_0_70,refute_0_141]) ).
cnf(refute_0_143,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_15215,X_15214),X_15215),X_15215),falsehood),implies(implies(implies(X_15215,X_15214),X_15215),X_15215))),
inference(subst,[],[refute_0_142:[bind(X_15212,$fot(X_15215)),bind(X_411,$fot(X_15214)),bind(X_413,$fot(X_15215)),bind(X_6,$fot(implies(implies(X_15215,X_15214),X_15215)))]]) ).
cnf(refute_0_144,plain,
is_a_theorem(implies(X_420,implies(implies(implies(X_15215,X_15214),X_15215),X_15215))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_15215,X_15214),X_15215),X_15215),falsehood),implies(implies(implies(X_15215,X_15214),X_15215),X_15215))) )],[refute_0_143,refute_0_73]) ).
cnf(refute_0_145,plain,
is_a_theorem(implies(implies(falsehood,X_46739),implies(implies(implies(X_15215,X_15214),X_15215),X_15215))),
inference(subst,[],[refute_0_144:[bind(X_420,$fot(implies(falsehood,X_46739)))]]) ).
cnf(refute_0_146,plain,
( ~ is_a_theorem(implies(implies(falsehood,X_46715),X_46716))
| ~ is_a_theorem(implies(implies(implies(falsehood,X_46715),X_46716),X_46716))
| is_a_theorem(X_46716) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(falsehood,X_46715),X_46716))),bind(Y,$fot(X_46716))]]) ).
cnf(refute_0_147,plain,
( ~ is_a_theorem(implies(implies(X_3074,X_3073),X_3075))
| ~ is_a_theorem(implies(implies(implies(X_3074,X_3073),X_3075),implies(implies(X_3074,falsehood),X_3075)))
| is_a_theorem(implies(implies(X_3074,falsehood),X_3075)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_3074,X_3073),X_3075))),bind(Y,$fot(implies(implies(X_3074,falsehood),X_3075)))]]) ).
cnf(refute_0_148,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(X_3072,falsehood),falsehood)),X_3071),implies(X_3072,X_3071)))
| is_a_theorem(implies(implies(implies(X_3072,X_3071),X_4),implies(implies(X_3072,falsehood),X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(X_3071)),bind(X_3,$fot(implies(X_3072,X_3071))),bind(X_6,$fot(implies(X_3072,falsehood)))]]) ).
cnf(refute_0_149,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(X_6,falsehood),X_2076)),implies(X_2078,implies(implies(X_6,falsehood),X_2076))))
| is_a_theorem(implies(implies(implies(X_2078,implies(implies(X_6,falsehood),X_2076)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(X_6,falsehood),X_2076))),bind(X_3,$fot(implies(X_2078,implies(implies(X_6,falsehood),X_2076))))]]) ).
cnf(refute_0_150,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1874,X_1877),falsehood),implies(X_6,falsehood)),implies(implies(implies(X_1878,falsehood),X_1876),falsehood)),implies(X_1878,X_1874)))
| is_a_theorem(implies(implies(implies(X_1878,X_1874),implies(X_1874,X_1877)),implies(X_6,implies(X_1874,X_1877)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(implies(implies(implies(X_1878,falsehood),X_1876),falsehood))),bind(X_3,$fot(implies(X_1878,X_1874))),bind(X_4,$fot(implies(X_1874,X_1877))),bind(X_5,$fot(falsehood))]]) ).
cnf(refute_0_151,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_1236,X_5),falsehood)),falsehood),X_1236),implies(X_6,X_1236))),
inference(subst,[],[refute_0_85:[bind(X_176,$fot(falsehood)),bind(X_4,$fot(X_1236))]]) ).
cnf(refute_0_152,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_1236,X_5),falsehood)),falsehood),X_1236),implies(X_6,X_1236)))
| is_a_theorem(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_1236,X_5),falsehood)),implies(X_6,X_1236))) ),
inference(subst,[],[refute_0_116:[bind(X_411,$fot(implies(X_6,X_1236))),bind(X_412,$fot(X_1236)),bind(X_413,$fot(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_1236,X_5),falsehood))))]]) ).
cnf(refute_0_153,plain,
is_a_theorem(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_1236,X_5),falsehood)),implies(X_6,X_1236))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_1236,X_5),falsehood)),falsehood),X_1236),implies(X_6,X_1236))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_1236,X_5),falsehood)),implies(X_6,X_1236)))
| is_a_theorem(implies(implies(implies(implies(implies(X_1236,X_5),falsehood),X_1725),implies(implies(implies(X_6,falsehood),X_174),falsehood)),implies(X_6,X_1236))) ),
inference(subst,[],[refute_0_108:[bind(X_173,$fot(implies(implies(X_1236,X_5),falsehood))),bind(X_174,$fot(X_1725)),bind(X_175,$fot(implies(implies(X_6,falsehood),X_174))),bind(X_176,$fot(implies(X_6,X_1236)))]]) ).
cnf(refute_0_155,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1236,X_5),falsehood),X_1725),implies(implies(implies(X_6,falsehood),X_174),falsehood)),implies(X_6,X_1236))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_6,falsehood),X_174),implies(implies(X_1236,X_5),falsehood)),implies(X_6,X_1236))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_1874,X_1877),falsehood),implies(X_6,falsehood)),implies(implies(implies(X_1878,falsehood),X_1876),falsehood)),implies(X_1878,X_1874))),
inference(subst,[],[refute_0_155:[bind(X_1236,$fot(X_1874)),bind(X_1725,$fot(implies(X_6,falsehood))),bind(X_174,$fot(X_1876)),bind(X_5,$fot(X_1877)),bind(X_6,$fot(X_1878))]]) ).
cnf(refute_0_157,plain,
is_a_theorem(implies(implies(implies(X_1878,X_1874),implies(X_1874,X_1877)),implies(X_6,implies(X_1874,X_1877)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1874,X_1877),falsehood),implies(X_6,falsehood)),implies(implies(implies(X_1878,falsehood),X_1876),falsehood)),implies(X_1878,X_1874))) )],[refute_0_156,refute_0_150]) ).
cnf(refute_0_158,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(X_6,falsehood),X_2076)),implies(X_2078,implies(implies(X_6,falsehood),X_2076)))),
inference(subst,[],[refute_0_157:[bind(X_1874,$fot(implies(X_6,falsehood))),bind(X_1877,$fot(X_2076)),bind(X_1878,$fot(implies(X_4,X_5))),bind(X_6,$fot(X_2078))]]) ).
cnf(refute_0_159,plain,
is_a_theorem(implies(implies(implies(X_2078,implies(implies(X_6,falsehood),X_2076)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),implies(implies(X_6,falsehood),X_2076)),implies(X_2078,implies(implies(X_6,falsehood),X_2076)))) )],[refute_0_158,refute_0_149]) ).
cnf(refute_0_160,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(X_3072,falsehood),falsehood)),X_3071),implies(X_3072,X_3071))),
inference(subst,[],[refute_0_159:[bind(X_2076,$fot(falsehood)),bind(X_2078,$fot(implies(X_4,X_5))),bind(X_4,$fot(X_3071)),bind(X_6,$fot(X_3072))]]) ).
cnf(refute_0_161,plain,
is_a_theorem(implies(implies(implies(X_3072,X_3071),X_4),implies(implies(X_3072,falsehood),X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(implies(X_3072,falsehood),falsehood)),X_3071),implies(X_3072,X_3071))) )],[refute_0_160,refute_0_148]) ).
cnf(refute_0_162,plain,
is_a_theorem(implies(implies(implies(X_3074,X_3073),X_3075),implies(implies(X_3074,falsehood),X_3075))),
inference(subst,[],[refute_0_161:[bind(X_3071,$fot(X_3073)),bind(X_3072,$fot(X_3074)),bind(X_4,$fot(X_3075))]]) ).
cnf(refute_0_163,plain,
( ~ is_a_theorem(implies(implies(X_3074,X_3073),X_3075))
| is_a_theorem(implies(implies(X_3074,falsehood),X_3075)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3074,X_3073),X_3075),implies(implies(X_3074,falsehood),X_3075))) )],[refute_0_162,refute_0_147]) ).
cnf(refute_0_164,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42707),X_42708),X_42708),X_42706),implies(X_42709,X_42706)))
| is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42707),X_42708),X_42708),falsehood),implies(X_42709,X_42706))) ),
inference(subst,[],[refute_0_163:[bind(X_3073,$fot(X_42706)),bind(X_3074,$fot(implies(implies(implies(falsehood,X_42707),X_42708),X_42708))),bind(X_3075,$fot(implies(X_42709,X_42706)))]]) ).
cnf(refute_0_165,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_42704),X_42705),X_42705)))
| is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42704),X_42705),X_42705),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_3,$fot(implies(implies(implies(falsehood,X_42704),X_42705),X_42705)))]]) ).
cnf(refute_0_166,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42700),X_42701),X_42701),falsehood),implies(implies(implies(falsehood,X_42700),X_42701),X_42701)))
| is_a_theorem(implies(X_420,implies(implies(implies(falsehood,X_42700),X_42701),X_42701))) ),
inference(subst,[],[refute_0_72:[bind(X_418,$fot(falsehood)),bind(X_419,$fot(implies(implies(implies(falsehood,X_42700),X_42701),X_42701)))]]) ).
cnf(refute_0_167,plain,
( ~ is_a_theorem(implies(implies(implies(falsehood,X_23),X_4),implies(X_6,X_4)))
| is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_23),X_4),X_15212),falsehood),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_140:[bind(X_5801,$fot(implies(X_6,X_4))),bind(X_5802,$fot(implies(implies(falsehood,X_23),X_4))),bind(X_5803,$fot(X_15212))]]) ).
cnf(refute_0_168,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_23),X_4),X_15212),falsehood),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(falsehood,X_23),X_4),implies(X_6,X_4))) )],[refute_0_19,refute_0_167]) ).
cnf(refute_0_169,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42700),X_42701),X_42701),falsehood),implies(implies(implies(falsehood,X_42700),X_42701),X_42701))),
inference(subst,[],[refute_0_168:[bind(X_15212,$fot(X_42701)),bind(X_23,$fot(X_42700)),bind(X_4,$fot(X_42701)),bind(X_6,$fot(implies(implies(falsehood,X_42700),X_42701)))]]) ).
cnf(refute_0_170,plain,
is_a_theorem(implies(X_420,implies(implies(implies(falsehood,X_42700),X_42701),X_42701))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42700),X_42701),X_42701),falsehood),implies(implies(implies(falsehood,X_42700),X_42701),X_42701))) )],[refute_0_169,refute_0_166]) ).
cnf(refute_0_171,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_42704),X_42705),X_42705))),
inference(subst,[],[refute_0_170:[bind(X_420,$fot(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2))),bind(X_42700,$fot(X_42704)),bind(X_42701,$fot(X_42705))]]) ).
cnf(refute_0_172,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42704),X_42705),X_42705),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(falsehood,X_42704),X_42705),X_42705))) )],[refute_0_171,refute_0_165]) ).
cnf(refute_0_173,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42707),X_42708),X_42708),X_42706),implies(X_42709,X_42706))),
inference(subst,[],[refute_0_172:[bind(X_4,$fot(X_42706)),bind(X_42704,$fot(X_42707)),bind(X_42705,$fot(X_42708)),bind(X_6,$fot(X_42709))]]) ).
cnf(refute_0_174,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42707),X_42708),X_42708),falsehood),implies(X_42709,X_42706))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42707),X_42708),X_42708),X_42706),implies(X_42709,X_42706))) )],[refute_0_173,refute_0_164]) ).
cnf(refute_0_175,plain,
is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42707),X_42708),X_42708),falsehood),implies(implies(falsehood,X_46714),falsehood))),
inference(subst,[],[refute_0_174:[bind(X_42706,$fot(falsehood)),bind(X_42709,$fot(implies(falsehood,X_46714)))]]) ).
cnf(refute_0_176,plain,
( ~ is_a_theorem(implies(implies(X_15426,X_15425),implies(implies(falsehood,X_15427),falsehood)))
| ~ is_a_theorem(implies(implies(implies(X_15426,X_15425),implies(implies(falsehood,X_15427),falsehood)),X_15426))
| is_a_theorem(X_15426) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_15426,X_15425),implies(implies(falsehood,X_15427),falsehood)))),bind(Y,$fot(X_15426))]]) ).
cnf(refute_0_177,plain,
( ~ is_a_theorem(X_15420)
| ~ is_a_theorem(implies(X_15420,implies(implies(implies(X_15418,X_15417),implies(implies(falsehood,X_15419),falsehood)),X_15418)))
| is_a_theorem(implies(implies(implies(X_15418,X_15417),implies(implies(falsehood,X_15419),falsehood)),X_15418)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_15420)),bind(Y,$fot(implies(implies(implies(X_15418,X_15417),implies(implies(falsehood,X_15419),falsehood)),X_15418)))]]) ).
cnf(refute_0_178,plain,
( ~ is_a_theorem(implies(implies(falsehood,X_2048),implies(implies(X_2049,X_2050),falsehood)))
| ~ is_a_theorem(implies(implies(implies(falsehood,X_2048),implies(implies(X_2049,X_2050),falsehood)),X_2049))
| is_a_theorem(X_2049) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(falsehood,X_2048),implies(implies(X_2049,X_2050),falsehood)))),bind(Y,$fot(X_2049))]]) ).
cnf(refute_0_179,plain,
( ~ is_a_theorem(implies(implies(implies(X_2039,X_2040),falsehood),X_2039))
| is_a_theorem(implies(implies(implies(falsehood,X_174),implies(implies(X_2039,X_2040),falsehood)),X_2039)) ),
inference(subst,[],[refute_0_108:[bind(X_173,$fot(falsehood)),bind(X_175,$fot(implies(X_2039,X_2040))),bind(X_176,$fot(X_2039))]]) ).
cnf(refute_0_180,plain,
is_a_theorem(implies(implies(implies(X_1237,falsehood),X_1236),implies(implies(implies(falsehood,X_141),implies(X_1237,falsehood)),X_1236))),
inference(subst,[],[refute_0_43:[bind(X_140,$fot(falsehood)),bind(X_142,$fot(X_1237)),bind(X_4,$fot(X_1236))]]) ).
cnf(refute_0_181,plain,
( ~ is_a_theorem(implies(implies(implies(X_1237,falsehood),X_1236),implies(implies(implies(falsehood,X_141),implies(X_1237,falsehood)),X_1236)))
| is_a_theorem(implies(X_1237,implies(implies(implies(falsehood,X_141),implies(X_1237,falsehood)),X_1236))) ),
inference(subst,[],[refute_0_116:[bind(X_411,$fot(implies(implies(implies(falsehood,X_141),implies(X_1237,falsehood)),X_1236))),bind(X_412,$fot(X_1236)),bind(X_413,$fot(X_1237))]]) ).
cnf(refute_0_182,plain,
is_a_theorem(implies(X_1237,implies(implies(implies(falsehood,X_141),implies(X_1237,falsehood)),X_1236))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1237,falsehood),X_1236),implies(implies(implies(falsehood,X_141),implies(X_1237,falsehood)),X_1236))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
is_a_theorem(implies(implies(X_2035,X_2036),implies(implies(implies(falsehood,X_141),implies(implies(X_2035,X_2036),falsehood)),falsehood))),
inference(subst,[],[refute_0_182:[bind(X_1236,$fot(falsehood)),bind(X_1237,$fot(implies(X_2035,X_2036)))]]) ).
cnf(refute_0_184,plain,
( ~ is_a_theorem(implies(implies(X_1854,X_1855),implies(implies(X_1857,X_1856),falsehood)))
| ~ is_a_theorem(implies(implies(implies(X_1854,X_1855),implies(implies(X_1857,X_1856),falsehood)),implies(X_1856,X_1854)))
| is_a_theorem(implies(X_1856,X_1854)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1854,X_1855),implies(implies(X_1857,X_1856),falsehood)))),bind(Y,$fot(implies(X_1856,X_1854)))]]) ).
cnf(refute_0_185,plain,
is_a_theorem(implies(implies(implies(X_403,X_401),X_1724),implies(X_401,X_1724))),
inference(subst,[],[refute_0_66:[bind(X_4,$fot(X_1724))]]) ).
cnf(refute_0_186,plain,
( ~ is_a_theorem(implies(implies(implies(X_403,X_401),X_1724),implies(X_401,X_1724)))
| is_a_theorem(implies(implies(implies(X_1724,X_1725),implies(implies(X_403,X_401),falsehood)),implies(X_401,X_1724))) ),
inference(subst,[],[refute_0_108:[bind(X_173,$fot(X_1724)),bind(X_174,$fot(X_1725)),bind(X_175,$fot(implies(X_403,X_401))),bind(X_176,$fot(implies(X_401,X_1724)))]]) ).
cnf(refute_0_187,plain,
is_a_theorem(implies(implies(implies(X_1724,X_1725),implies(implies(X_403,X_401),falsehood)),implies(X_401,X_1724))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_403,X_401),X_1724),implies(X_401,X_1724))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
is_a_theorem(implies(implies(implies(X_1854,X_1855),implies(implies(X_1857,X_1856),falsehood)),implies(X_1856,X_1854))),
inference(subst,[],[refute_0_187:[bind(X_1724,$fot(X_1854)),bind(X_1725,$fot(X_1855)),bind(X_401,$fot(X_1856)),bind(X_403,$fot(X_1857))]]) ).
cnf(refute_0_189,plain,
( ~ is_a_theorem(implies(implies(X_1854,X_1855),implies(implies(X_1857,X_1856),falsehood)))
| is_a_theorem(implies(X_1856,X_1854)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1854,X_1855),implies(implies(X_1857,X_1856),falsehood)),implies(X_1856,X_1854))) )],[refute_0_188,refute_0_184]) ).
cnf(refute_0_190,plain,
( ~ is_a_theorem(implies(implies(X_2035,X_2036),implies(implies(implies(falsehood,X_141),implies(implies(X_2035,X_2036),falsehood)),falsehood)))
| is_a_theorem(implies(implies(implies(X_2035,X_2036),falsehood),X_2035)) ),
inference(subst,[],[refute_0_189:[bind(X_1854,$fot(X_2035)),bind(X_1855,$fot(X_2036)),bind(X_1856,$fot(implies(implies(X_2035,X_2036),falsehood))),bind(X_1857,$fot(implies(falsehood,X_141)))]]) ).
cnf(refute_0_191,plain,
is_a_theorem(implies(implies(implies(X_2035,X_2036),falsehood),X_2035)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2035,X_2036),implies(implies(implies(falsehood,X_141),implies(implies(X_2035,X_2036),falsehood)),falsehood))) )],[refute_0_183,refute_0_190]) ).
cnf(refute_0_192,plain,
is_a_theorem(implies(implies(implies(X_2039,X_2040),falsehood),X_2039)),
inference(subst,[],[refute_0_191:[bind(X_2035,$fot(X_2039)),bind(X_2036,$fot(X_2040))]]) ).
cnf(refute_0_193,plain,
is_a_theorem(implies(implies(implies(falsehood,X_174),implies(implies(X_2039,X_2040),falsehood)),X_2039)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2039,X_2040),falsehood),X_2039)) )],[refute_0_192,refute_0_179]) ).
cnf(refute_0_194,plain,
is_a_theorem(implies(implies(implies(falsehood,X_2048),implies(implies(X_2049,X_2050),falsehood)),X_2049)),
inference(subst,[],[refute_0_193:[bind(X_174,$fot(X_2048)),bind(X_2039,$fot(X_2049)),bind(X_2040,$fot(X_2050))]]) ).
cnf(refute_0_195,plain,
( ~ is_a_theorem(implies(implies(falsehood,X_2048),implies(implies(X_2049,X_2050),falsehood)))
| is_a_theorem(X_2049) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(falsehood,X_2048),implies(implies(X_2049,X_2050),falsehood)),X_2049)) )],[refute_0_194,refute_0_178]) ).
cnf(refute_0_196,plain,
( ~ is_a_theorem(implies(implies(falsehood,X_2048),implies(implies(implies(X_15414,implies(implies(implies(X_15412,X_15411),implies(implies(falsehood,X_15413),falsehood)),X_15412)),falsehood),falsehood)))
| is_a_theorem(implies(X_15414,implies(implies(implies(X_15412,X_15411),implies(implies(falsehood,X_15413),falsehood)),X_15412))) ),
inference(subst,[],[refute_0_195:[bind(X_2049,$fot(implies(X_15414,implies(implies(implies(X_15412,X_15411),implies(implies(falsehood,X_15413),falsehood)),X_15412)))),bind(X_2050,$fot(falsehood))]]) ).
cnf(refute_0_197,plain,
( ~ is_a_theorem(implies(implies(X_550,X_549),implies(implies(X_550,falsehood),X_548)))
| ~ is_a_theorem(implies(implies(implies(X_550,X_549),implies(implies(X_550,falsehood),X_548)),implies(X_551,implies(implies(X_550,falsehood),X_548))))
| is_a_theorem(implies(X_551,implies(implies(X_550,falsehood),X_548))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_550,X_549),implies(implies(X_550,falsehood),X_548)))),bind(Y,$fot(implies(X_551,implies(implies(X_550,falsehood),X_548))))]]) ).
cnf(refute_0_198,plain,
is_a_theorem(implies(implies(implies(X_550,X_549),implies(implies(X_550,falsehood),X_548)),implies(X_551,implies(implies(X_550,falsehood),X_548)))),
inference(subst,[],[refute_0_87:[bind(X_489,$fot(X_548)),bind(X_491,$fot(X_549)),bind(X_493,$fot(X_550)),bind(X_6,$fot(X_551))]]) ).
cnf(refute_0_199,plain,
( ~ is_a_theorem(implies(implies(X_550,X_549),implies(implies(X_550,falsehood),X_548)))
| is_a_theorem(implies(X_551,implies(implies(X_550,falsehood),X_548))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_550,X_549),implies(implies(X_550,falsehood),X_548)),implies(X_551,implies(implies(X_550,falsehood),X_548)))) )],[refute_0_198,refute_0_197]) ).
cnf(refute_0_200,plain,
( ~ is_a_theorem(implies(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),X_15409),implies(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),falsehood),X_15409)))
| is_a_theorem(implies(X_551,implies(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),falsehood),X_15409))) ),
inference(subst,[],[refute_0_199:[bind(X_548,$fot(X_15409)),bind(X_549,$fot(X_15409)),bind(X_550,$fot(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406))))]]) ).
cnf(refute_0_201,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_10055,implies(implies(implies(X_10052,X_10051),implies(implies(falsehood,X_10053),falsehood)),X_10052))))
| is_a_theorem(implies(implies(implies(X_10055,implies(implies(implies(X_10052,X_10051),implies(implies(falsehood,X_10053),falsehood)),X_10052)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_3,$fot(implies(X_10055,implies(implies(implies(X_10052,X_10051),implies(implies(falsehood,X_10053),falsehood)),X_10052))))]]) ).
cnf(refute_0_202,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X_2053,X_2054),falsehood),implies(X_6,falsehood)),falsehood),X_2053))
| is_a_theorem(implies(implies(X_2053,implies(X_2053,X_2054)),implies(X_6,implies(X_2053,X_2054)))) ),
inference(subst,[],[refute_0_3:[bind(X_2,$fot(falsehood)),bind(X_3,$fot(X_2053)),bind(X_4,$fot(implies(X_2053,X_2054))),bind(X_5,$fot(falsehood))]]) ).
cnf(refute_0_203,plain,
( ~ is_a_theorem(implies(implies(X_658,X_656),X_655))
| ~ is_a_theorem(implies(implies(implies(X_658,X_656),X_655),implies(implies(implies(X_656,X_657),falsehood),X_655)))
| is_a_theorem(implies(implies(implies(X_656,X_657),falsehood),X_655)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_658,X_656),X_655))),bind(Y,$fot(implies(implies(implies(X_656,X_657),falsehood),X_655)))]]) ).
cnf(refute_0_204,plain,
is_a_theorem(implies(implies(implies(X_658,X_656),X_655),implies(implies(implies(X_656,X_657),falsehood),X_655))),
inference(subst,[],[refute_0_91:[bind(X_4,$fot(X_655)),bind(X_565,$fot(X_656)),bind(X_566,$fot(X_657)),bind(X_569,$fot(X_658))]]) ).
cnf(refute_0_205,plain,
( ~ is_a_theorem(implies(implies(X_658,X_656),X_655))
| is_a_theorem(implies(implies(implies(X_656,X_657),falsehood),X_655)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_658,X_656),X_655),implies(implies(implies(X_656,X_657),falsehood),X_655))) )],[refute_0_204,refute_0_203]) ).
cnf(refute_0_206,plain,
( ~ is_a_theorem(implies(implies(implies(falsehood,X_2048),implies(implies(X_2049,X_2050),falsehood)),X_2049))
| is_a_theorem(implies(implies(implies(implies(implies(X_2049,X_2050),falsehood),X_657),falsehood),X_2049)) ),
inference(subst,[],[refute_0_205:[bind(X_655,$fot(X_2049)),bind(X_656,$fot(implies(implies(X_2049,X_2050),falsehood))),bind(X_658,$fot(implies(falsehood,X_2048)))]]) ).
cnf(refute_0_207,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_2049,X_2050),falsehood),X_657),falsehood),X_2049)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(falsehood,X_2048),implies(implies(X_2049,X_2050),falsehood)),X_2049)) )],[refute_0_194,refute_0_206]) ).
cnf(refute_0_208,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_2053,X_2054),falsehood),implies(X_6,falsehood)),falsehood),X_2053)),
inference(subst,[],[refute_0_207:[bind(X_2049,$fot(X_2053)),bind(X_2050,$fot(X_2054)),bind(X_657,$fot(implies(X_6,falsehood)))]]) ).
cnf(refute_0_209,plain,
is_a_theorem(implies(implies(X_2053,implies(X_2053,X_2054)),implies(X_6,implies(X_2053,X_2054)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_2053,X_2054),falsehood),implies(X_6,falsehood)),falsehood),X_2053)) )],[refute_0_208,refute_0_202]) ).
cnf(refute_0_210,plain,
is_a_theorem(implies(implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040)),implies(X_6,implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040)))),
inference(subst,[],[refute_0_209:[bind(X_2053,$fot(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)))),bind(X_2054,$fot(X_10040))]]) ).
cnf(refute_0_211,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_379,X_378),implies(implies(falsehood,X_381),falsehood)),implies(X_380,X_379)),X_382))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X_379,X_378),implies(implies(falsehood,X_381),falsehood)),implies(X_380,X_379)),X_382),implies(X_383,X_382)))
| is_a_theorem(implies(X_383,X_382)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_379,X_378),implies(implies(falsehood,X_381),falsehood)),implies(X_380,X_379)),X_382))),bind(Y,$fot(implies(X_383,X_382)))]]) ).
cnf(refute_0_212,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355))))
| is_a_theorem(implies(implies(implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355)),X_4),implies(X_6,X_4))) ),
inference(subst,[],[refute_0_3:[bind(X_3,$fot(implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355))))]]) ).
cnf(refute_0_213,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355)))),
inference(subst,[],[refute_0_58:[bind(X_141,$fot(X_354)),bind(X_350,$fot(X_355)),bind(X_351,$fot(X_356)),bind(X_352,$fot(X_357)),bind(X_353,$fot(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2)))]]) ).
cnf(refute_0_214,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(implies(implies(X_355,X_354),implies(implies(falsehood,X_357),falsehood)),implies(X_356,X_355)))) )],[refute_0_213,refute_0_212]) ).
cnf(refute_0_215,plain,
is_a_theorem(implies(implies(implies(implies(implies(X_379,X_378),implies(implies(falsehood,X_381),falsehood)),implies(X_380,X_379)),X_382),implies(X_383,X_382))),
inference(subst,[],[refute_0_214:[bind(X_354,$fot(X_378)),bind(X_355,$fot(X_379)),bind(X_356,$fot(X_380)),bind(X_357,$fot(X_381)),bind(X_4,$fot(X_382)),bind(X_6,$fot(X_383))]]) ).
cnf(refute_0_216,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_379,X_378),implies(implies(falsehood,X_381),falsehood)),implies(X_380,X_379)),X_382))
| is_a_theorem(implies(X_383,X_382)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_379,X_378),implies(implies(falsehood,X_381),falsehood)),implies(X_380,X_379)),X_382),implies(X_383,X_382))) )],[refute_0_215,refute_0_211]) ).
cnf(refute_0_217,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040)),implies(X_6,implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040))))
| is_a_theorem(implies(X_10044,implies(X_6,implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040)))) ),
inference(subst,[],[refute_0_216:[bind(X_378,$fot(X_10039)),bind(X_379,$fot(X_10040)),bind(X_380,$fot(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)))),bind(X_381,$fot(X_10042)),bind(X_382,$fot(implies(X_6,implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040)))),bind(X_383,$fot(X_10044))]]) ).
cnf(refute_0_218,plain,
is_a_theorem(implies(X_10044,implies(X_6,implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040)),implies(X_6,implies(implies(implies(X_10040,X_10039),implies(implies(falsehood,X_10042),falsehood)),X_10040)))) )],[refute_0_210,refute_0_217]) ).
cnf(refute_0_219,plain,
is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_10055,implies(implies(implies(X_10052,X_10051),implies(implies(falsehood,X_10053),falsehood)),X_10052)))),
inference(subst,[],[refute_0_218:[bind(X_10039,$fot(X_10051)),bind(X_10040,$fot(X_10052)),bind(X_10042,$fot(X_10053)),bind(X_10044,$fot(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2))),bind(X_6,$fot(X_10055))]]) ).
cnf(refute_0_220,plain,
is_a_theorem(implies(implies(implies(X_10055,implies(implies(implies(X_10052,X_10051),implies(implies(falsehood,X_10053),falsehood)),X_10052)),X_4),implies(X_6,X_4))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4,X_5),implies(X_6,falsehood)),X_2),implies(X_10055,implies(implies(implies(X_10052,X_10051),implies(implies(falsehood,X_10053),falsehood)),X_10052)))) )],[refute_0_219,refute_0_201]) ).
cnf(refute_0_221,plain,
is_a_theorem(implies(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),X_15409),implies(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),falsehood),X_15409))),
inference(subst,[],[refute_0_220:[bind(X_10051,$fot(X_15405)),bind(X_10052,$fot(X_15406)),bind(X_10053,$fot(X_15407)),bind(X_10055,$fot(X_15408)),bind(X_4,$fot(X_15409)),bind(X_6,$fot(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),falsehood)))]]) ).
cnf(refute_0_222,plain,
is_a_theorem(implies(X_551,implies(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),falsehood),X_15409))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),X_15409),implies(implies(implies(X_15408,implies(implies(implies(X_15406,X_15405),implies(implies(falsehood,X_15407),falsehood)),X_15406)),falsehood),X_15409))) )],[refute_0_221,refute_0_200]) ).
cnf(refute_0_223,plain,
is_a_theorem(implies(implies(falsehood,X_2048),implies(implies(implies(X_15414,implies(implies(implies(X_15412,X_15411),implies(implies(falsehood,X_15413),falsehood)),X_15412)),falsehood),falsehood))),
inference(subst,[],[refute_0_222:[bind(X_15405,$fot(X_15411)),bind(X_15406,$fot(X_15412)),bind(X_15407,$fot(X_15413)),bind(X_15408,$fot(X_15414)),bind(X_15409,$fot(falsehood)),bind(X_551,$fot(implies(falsehood,X_2048)))]]) ).
cnf(refute_0_224,plain,
is_a_theorem(implies(X_15414,implies(implies(implies(X_15412,X_15411),implies(implies(falsehood,X_15413),falsehood)),X_15412))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(falsehood,X_2048),implies(implies(implies(X_15414,implies(implies(implies(X_15412,X_15411),implies(implies(falsehood,X_15413),falsehood)),X_15412)),falsehood),falsehood))) )],[refute_0_223,refute_0_196]) ).
cnf(refute_0_225,plain,
is_a_theorem(implies(X_15420,implies(implies(implies(X_15418,X_15417),implies(implies(falsehood,X_15419),falsehood)),X_15418))),
inference(subst,[],[refute_0_224:[bind(X_15411,$fot(X_15417)),bind(X_15412,$fot(X_15418)),bind(X_15413,$fot(X_15419)),bind(X_15414,$fot(X_15420))]]) ).
cnf(refute_0_226,plain,
( ~ is_a_theorem(X_15420)
| is_a_theorem(implies(implies(implies(X_15418,X_15417),implies(implies(falsehood,X_15419),falsehood)),X_15418)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_15420,implies(implies(implies(X_15418,X_15417),implies(implies(falsehood,X_15419),falsehood)),X_15418))) )],[refute_0_225,refute_0_177]) ).
cnf(refute_0_227,plain,
( ~ is_a_theorem(implies(falsehood,implies(X_6,X_28)))
| is_a_theorem(implies(implies(implies(X_15422,X_15421),implies(implies(falsehood,X_15423),falsehood)),X_15422)) ),
inference(subst,[],[refute_0_226:[bind(X_15417,$fot(X_15421)),bind(X_15418,$fot(X_15422)),bind(X_15419,$fot(X_15423)),bind(X_15420,$fot(implies(falsehood,implies(X_6,X_28))))]]) ).
cnf(refute_0_228,plain,
is_a_theorem(implies(implies(implies(X_15422,X_15421),implies(implies(falsehood,X_15423),falsehood)),X_15422)),
inference(resolve,[$cnf( is_a_theorem(implies(falsehood,implies(X_6,X_28))) )],[refute_0_25,refute_0_227]) ).
cnf(refute_0_229,plain,
is_a_theorem(implies(implies(implies(X_15426,X_15425),implies(implies(falsehood,X_15427),falsehood)),X_15426)),
inference(subst,[],[refute_0_228:[bind(X_15421,$fot(X_15425)),bind(X_15422,$fot(X_15426)),bind(X_15423,$fot(X_15427))]]) ).
cnf(refute_0_230,plain,
( ~ is_a_theorem(implies(implies(X_15426,X_15425),implies(implies(falsehood,X_15427),falsehood)))
| is_a_theorem(X_15426) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_15426,X_15425),implies(implies(falsehood,X_15427),falsehood)),X_15426)) )],[refute_0_229,refute_0_176]) ).
cnf(refute_0_231,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42707),X_42708),X_42708),falsehood),implies(implies(falsehood,X_46714),falsehood)))
| is_a_theorem(implies(implies(implies(falsehood,X_42707),X_42708),X_42708)) ),
inference(subst,[],[refute_0_230:[bind(X_15425,$fot(falsehood)),bind(X_15426,$fot(implies(implies(implies(falsehood,X_42707),X_42708),X_42708))),bind(X_15427,$fot(X_46714))]]) ).
cnf(refute_0_232,plain,
is_a_theorem(implies(implies(implies(falsehood,X_42707),X_42708),X_42708)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(falsehood,X_42707),X_42708),X_42708),falsehood),implies(implies(falsehood,X_46714),falsehood))) )],[refute_0_175,refute_0_231]) ).
cnf(refute_0_233,plain,
is_a_theorem(implies(implies(implies(falsehood,X_46715),X_46716),X_46716)),
inference(subst,[],[refute_0_232:[bind(X_42707,$fot(X_46715)),bind(X_42708,$fot(X_46716))]]) ).
cnf(refute_0_234,plain,
( ~ is_a_theorem(implies(implies(falsehood,X_46715),X_46716))
| is_a_theorem(X_46716) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(falsehood,X_46715),X_46716),X_46716)) )],[refute_0_233,refute_0_146]) ).
cnf(refute_0_235,plain,
( ~ is_a_theorem(implies(implies(falsehood,X_46739),implies(implies(implies(X_15215,X_15214),X_15215),X_15215)))
| is_a_theorem(implies(implies(implies(X_15215,X_15214),X_15215),X_15215)) ),
inference(subst,[],[refute_0_234:[bind(X_46715,$fot(X_46739)),bind(X_46716,$fot(implies(implies(implies(X_15215,X_15214),X_15215),X_15215)))]]) ).
cnf(refute_0_236,plain,
is_a_theorem(implies(implies(implies(X_15215,X_15214),X_15215),X_15215)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(falsehood,X_46739),implies(implies(implies(X_15215,X_15214),X_15215),X_15215))) )],[refute_0_145,refute_0_235]) ).
cnf(refute_0_237,plain,
is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(subst,[],[refute_0_236:[bind(X_15214,$fot(b)),bind(X_15215,$fot(a))]]) ).
cnf(refute_0_238,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(a,b),a),a)) )],[refute_0_237,prove_c0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 3 22:42:15 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 60.21/60.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 60.21/60.37
% 60.21/60.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 60.21/60.39
%------------------------------------------------------------------------------