TSTP Solution File: LCL385-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL385-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 12:51:53 EDT 2022
% Result : Unsatisfiable 142.76s 143.01s
% Output : CNFRefutation 142.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 87
% Number of leaves : 5
% Syntax : Number of clauses : 306 ( 182 unt; 0 nHn; 75 RR)
% Number of literals : 451 ( 0 equ; 146 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 838 ( 187 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))) ).
cnf(prove_cn_47,negated_conjecture,
~ is_a_theorem(implies(implies(x,not(y)),implies(y,not(x)))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_65),X_65),X_66),X_64),implies(implies(X_65,X_66),X_64)))
| ~ is_a_theorem(implies(implies(implies(not(X_65),X_65),X_66),X_64))
| is_a_theorem(implies(implies(X_65,X_66),X_64)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(not(X_65),X_65),X_66),X_64))),bind(Y,$fot(implies(implies(X_65,X_66),X_64)))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z))))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(implies(X_28,X_29),implies(implies(not(X_28),X_28),X_29)))
| is_a_theorem(implies(implies(implies(implies(not(X_28),X_28),X_29),Z),implies(implies(X_28,X_29),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(X_28,X_29))),bind(Y,$fot(implies(implies(not(X_28),X_28),X_29)))]]) ).
cnf(refute_0_4,plain,
is_a_theorem(implies(implies(not(X_26),X_26),X_26)),
inference(subst,[],[cn_2:[bind(X,$fot(X_26))]]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(implies(not(X_26),X_26),X_26))
| is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(not(X_26),X_26))),bind(Y,$fot(X_26)),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_26),X_26),X_26)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
is_a_theorem(implies(implies(X_28,X_29),implies(implies(not(X_28),X_28),X_29))),
inference(subst,[],[refute_0_6:[bind(X_26,$fot(X_28)),bind(X_27,$fot(X_29))]]) ).
cnf(refute_0_8,plain,
is_a_theorem(implies(implies(implies(implies(not(X_28),X_28),X_29),Z),implies(implies(X_28,X_29),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_28,X_29),implies(implies(not(X_28),X_28),X_29))) )],[refute_0_7,refute_0_3]) ).
cnf(refute_0_9,plain,
is_a_theorem(implies(implies(implies(implies(not(X_65),X_65),X_66),X_64),implies(implies(X_65,X_66),X_64))),
inference(subst,[],[refute_0_8:[bind(Z,$fot(X_64)),bind(X_28,$fot(X_65)),bind(X_29,$fot(X_66))]]) ).
cnf(refute_0_10,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_65),X_65),X_66),X_64))
| is_a_theorem(implies(implies(X_65,X_66),X_64)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_65),X_65),X_66),X_64),implies(implies(X_65,X_66),X_64))) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_71530),X_71530),not(X_71528)),implies(X_71528,not(X_71530))))
| is_a_theorem(implies(implies(X_71530,not(X_71528)),implies(X_71528,not(X_71530)))) ),
inference(subst,[],[refute_0_10:[bind(X_64,$fot(implies(X_71528,not(X_71530)))),bind(X_65,$fot(X_71530)),bind(X_66,$fot(not(X_71528)))]]) ).
cnf(refute_0_12,plain,
( ~ is_a_theorem(implies(implies(implies(X_38,X_39),implies(X_37,X_39)),X_40))
| ~ is_a_theorem(implies(implies(implies(implies(X_38,X_39),implies(X_37,X_39)),X_40),implies(implies(X_37,X_38),X_40)))
| is_a_theorem(implies(implies(X_37,X_38),X_40)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_38,X_39),implies(X_37,X_39)),X_40))),bind(Y,$fot(implies(implies(X_37,X_38),X_40)))]]) ).
cnf(refute_0_13,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_27),implies(implies(X,Y),X_27))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z)))),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_14,plain,
is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_27),implies(implies(X,Y),X_27))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_13]) ).
cnf(refute_0_15,plain,
is_a_theorem(implies(implies(implies(implies(X_38,X_39),implies(X_37,X_39)),X_40),implies(implies(X_37,X_38),X_40))),
inference(subst,[],[refute_0_14:[bind(X,$fot(X_37)),bind(Y,$fot(X_38)),bind(Z,$fot(X_39)),bind(X_27,$fot(X_40))]]) ).
cnf(refute_0_16,plain,
( ~ is_a_theorem(implies(implies(implies(X_38,X_39),implies(X_37,X_39)),X_40))
| is_a_theorem(implies(implies(X_37,X_38),X_40)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_38,X_39),implies(X_37,X_39)),X_40),implies(implies(X_37,X_38),X_40))) )],[refute_0_15,refute_0_12]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_71525),not(X_71526)),implies(implies(not(X_71526),X_71527),not(X_71526))),implies(X_71525,not(X_71526))))
| is_a_theorem(implies(implies(implies(not(X_71526),X_71527),not(X_71525)),implies(X_71525,not(X_71526)))) ),
inference(subst,[],[refute_0_16:[bind(X_37,$fot(implies(not(X_71526),X_71527))),bind(X_38,$fot(not(X_71525))),bind(X_39,$fot(not(X_71526))),bind(X_40,$fot(implies(X_71525,not(X_71526))))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(implies(implies(X_47,X_48),X_45))
| ~ is_a_theorem(implies(implies(implies(X_47,X_48),X_45),implies(implies(implies(not(X_47),X_46),X_48),X_45)))
| is_a_theorem(implies(implies(implies(not(X_47),X_46),X_48),X_45)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_47,X_48),X_45))),bind(Y,$fot(implies(implies(implies(not(X_47),X_46),X_48),X_45)))]]) ).
cnf(refute_0_19,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_31),X_30),X_32),implies(X_31,X_32)))
| is_a_theorem(implies(implies(implies(X_31,X_32),Z),implies(implies(implies(not(X_31),X_30),X_32),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(implies(not(X_31),X_30),X_32))),bind(Y,$fot(implies(X_31,X_32)))]]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(X_25,implies(not(X_25),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_25))]]) ).
cnf(refute_0_21,plain,
( ~ is_a_theorem(implies(X_25,implies(not(X_25),Y)))
| is_a_theorem(implies(implies(implies(not(X_25),Y),X_27),implies(X_25,X_27))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_25)),bind(Y,$fot(implies(not(X_25),Y))),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_22,plain,
is_a_theorem(implies(implies(implies(not(X_25),Y),X_27),implies(X_25,X_27))),
inference(resolve,[$cnf( is_a_theorem(implies(X_25,implies(not(X_25),Y))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
is_a_theorem(implies(implies(implies(not(X_31),X_30),X_32),implies(X_31,X_32))),
inference(subst,[],[refute_0_22:[bind(Y,$fot(X_30)),bind(X_25,$fot(X_31)),bind(X_27,$fot(X_32))]]) ).
cnf(refute_0_24,plain,
is_a_theorem(implies(implies(implies(X_31,X_32),Z),implies(implies(implies(not(X_31),X_30),X_32),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_31),X_30),X_32),implies(X_31,X_32))) )],[refute_0_23,refute_0_19]) ).
cnf(refute_0_25,plain,
is_a_theorem(implies(implies(implies(X_47,X_48),X_45),implies(implies(implies(not(X_47),X_46),X_48),X_45))),
inference(subst,[],[refute_0_24:[bind(Z,$fot(X_45)),bind(X_30,$fot(X_46)),bind(X_31,$fot(X_47)),bind(X_32,$fot(X_48))]]) ).
cnf(refute_0_26,plain,
( ~ is_a_theorem(implies(implies(X_47,X_48),X_45))
| is_a_theorem(implies(implies(implies(not(X_47),X_46),X_48),X_45)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_47,X_48),X_45),implies(implies(implies(not(X_47),X_46),X_48),X_45))) )],[refute_0_25,refute_0_18]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(implies(X_71502,implies(implies(not(X_71503),X_71504),not(X_71503))),implies(X_71502,not(X_71503))))
| is_a_theorem(implies(implies(implies(not(X_71502),X_46),implies(implies(not(X_71503),X_71504),not(X_71503))),implies(X_71502,not(X_71503)))) ),
inference(subst,[],[refute_0_26:[bind(X_45,$fot(implies(X_71502,not(X_71503)))),bind(X_47,$fot(X_71502)),bind(X_48,$fot(implies(implies(not(X_71503),X_71504),not(X_71503))))]]) ).
cnf(refute_0_28,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(not(X_53261),X_53262),not(X_53261)),not(X_53261)),implies(X_37,not(X_53261))),implies(X_37,not(X_53261))))
| is_a_theorem(implies(implies(X_37,implies(implies(not(X_53261),X_53262),not(X_53261))),implies(X_37,not(X_53261)))) ),
inference(subst,[],[refute_0_16:[bind(X_38,$fot(implies(implies(not(X_53261),X_53262),not(X_53261)))),bind(X_39,$fot(not(X_53261))),bind(X_40,$fot(implies(X_37,not(X_53261))))]]) ).
cnf(refute_0_29,plain,
( ~ is_a_theorem(implies(X_2097,implies(not(X_2098),X_2098)))
| ~ is_a_theorem(implies(implies(X_2097,implies(not(X_2098),X_2098)),implies(X_2097,X_2098)))
| is_a_theorem(implies(X_2097,X_2098)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_2097,implies(not(X_2098),X_2098)))),bind(Y,$fot(implies(X_2097,X_2098)))]]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(implies(not(X_7),X_7),X_7)),
inference(subst,[],[cn_2:[bind(X,$fot(X_7))]]) ).
cnf(refute_0_31,plain,
( ~ is_a_theorem(implies(implies(not(X_7),X_7),X_7))
| ~ is_a_theorem(implies(not(X_7),X_7))
| is_a_theorem(X_7) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(not(X_7),X_7))),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_32,plain,
( ~ is_a_theorem(implies(not(X_7),X_7))
| is_a_theorem(X_7) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_7),X_7),X_7)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ is_a_theorem(implies(not(implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095))),implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095))))
| is_a_theorem(implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095))) ),
inference(subst,[],[refute_0_32:[bind(X_7,$fot(implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095))))]]) ).
cnf(refute_0_34,plain,
( ~ is_a_theorem(implies(implies(X_905,X_905),X_907))
| ~ is_a_theorem(implies(implies(implies(X_905,X_905),X_907),implies(X_906,X_907)))
| is_a_theorem(implies(X_906,X_907)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_905,X_905),X_907))),bind(Y,$fot(implies(X_906,X_907)))]]) ).
cnf(refute_0_35,plain,
( ~ is_a_theorem(implies(X_211,implies(not(implies(X_210,X_210)),X_209)))
| is_a_theorem(implies(implies(implies(not(implies(X_210,X_210)),X_209),Z),implies(X_211,Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_211)),bind(Y,$fot(implies(not(implies(X_210,X_210)),X_209)))]]) ).
cnf(refute_0_36,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_31),X_30),X_32),implies(X_31,X_32)))
| ~ is_a_theorem(implies(implies(not(X_31),X_30),X_32))
| is_a_theorem(implies(X_31,X_32)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(X_31),X_30),X_32))),bind(Y,$fot(implies(X_31,X_32)))]]) ).
cnf(refute_0_37,plain,
( ~ is_a_theorem(implies(implies(not(X_31),X_30),X_32))
| is_a_theorem(implies(X_31,X_32)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_31),X_30),X_32),implies(X_31,X_32))) )],[refute_0_23,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ is_a_theorem(implies(implies(not(X_31),X_202),implies(not(implies(X_204,X_204)),X_202)))
| is_a_theorem(implies(X_31,implies(not(implies(X_204,X_204)),X_202))) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(X_202)),bind(X_32,$fot(implies(not(implies(X_204,X_204)),X_202)))]]) ).
cnf(refute_0_39,plain,
( ~ is_a_theorem(implies(not(implies(X_154,X_154)),X_153))
| is_a_theorem(implies(implies(X_153,Z),implies(not(implies(X_154,X_154)),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(not(implies(X_154,X_154)))),bind(Y,$fot(X_153))]]) ).
cnf(refute_0_40,plain,
is_a_theorem(implies(X_6,implies(not(X_6),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_41,plain,
( ~ is_a_theorem(X_6)
| ~ is_a_theorem(implies(X_6,implies(not(X_6),Y)))
| is_a_theorem(implies(not(X_6),Y)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_6)),bind(Y,$fot(implies(not(X_6),Y)))]]) ).
cnf(refute_0_42,plain,
( ~ is_a_theorem(X_6)
| is_a_theorem(implies(not(X_6),Y)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_6,implies(not(X_6),Y))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( ~ is_a_theorem(implies(X_152,X_152))
| is_a_theorem(implies(not(implies(X_152,X_152)),Y)) ),
inference(subst,[],[refute_0_42:[bind(X_6,$fot(implies(X_152,X_152)))]]) ).
cnf(refute_0_44,plain,
is_a_theorem(implies(implies(not(X_151),X_151),X_151)),
inference(subst,[],[cn_2:[bind(X,$fot(X_151))]]) ).
cnf(refute_0_45,plain,
( ~ is_a_theorem(implies(implies(not(X_151),X_151),X_151))
| is_a_theorem(implies(X_151,X_151)) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(X_151)),bind(X_31,$fot(X_151)),bind(X_32,$fot(X_151))]]) ).
cnf(refute_0_46,plain,
is_a_theorem(implies(X_151,X_151)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_151),X_151),X_151)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
is_a_theorem(implies(X_152,X_152)),
inference(subst,[],[refute_0_46:[bind(X_151,$fot(X_152))]]) ).
cnf(refute_0_48,plain,
is_a_theorem(implies(not(implies(X_152,X_152)),Y)),
inference(resolve,[$cnf( is_a_theorem(implies(X_152,X_152)) )],[refute_0_47,refute_0_43]) ).
cnf(refute_0_49,plain,
is_a_theorem(implies(not(implies(X_154,X_154)),X_153)),
inference(subst,[],[refute_0_48:[bind(Y,$fot(X_153)),bind(X_152,$fot(X_154))]]) ).
cnf(refute_0_50,plain,
is_a_theorem(implies(implies(X_153,Z),implies(not(implies(X_154,X_154)),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(X_154,X_154)),X_153)) )],[refute_0_49,refute_0_39]) ).
cnf(refute_0_51,plain,
is_a_theorem(implies(implies(not(X_31),X_202),implies(not(implies(X_204,X_204)),X_202))),
inference(subst,[],[refute_0_50:[bind(Z,$fot(X_202)),bind(X_153,$fot(not(X_31))),bind(X_154,$fot(X_204))]]) ).
cnf(refute_0_52,plain,
is_a_theorem(implies(X_31,implies(not(implies(X_204,X_204)),X_202))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_31),X_202),implies(not(implies(X_204,X_204)),X_202))) )],[refute_0_51,refute_0_38]) ).
cnf(refute_0_53,plain,
is_a_theorem(implies(X_211,implies(not(implies(X_210,X_210)),X_209))),
inference(subst,[],[refute_0_52:[bind(X_202,$fot(X_209)),bind(X_204,$fot(X_210)),bind(X_31,$fot(X_211))]]) ).
cnf(refute_0_54,plain,
is_a_theorem(implies(implies(implies(not(implies(X_210,X_210)),X_209),Z),implies(X_211,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_211,implies(not(implies(X_210,X_210)),X_209))) )],[refute_0_53,refute_0_35]) ).
cnf(refute_0_55,plain,
is_a_theorem(implies(implies(implies(not(implies(X_210,X_210)),implies(X_210,X_210)),X_904),implies(X_211,X_904))),
inference(subst,[],[refute_0_54:[bind(Z,$fot(X_904)),bind(X_209,$fot(implies(X_210,X_210)))]]) ).
cnf(refute_0_56,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(X_210,X_210)),implies(X_210,X_210)),X_904),implies(X_211,X_904)))
| is_a_theorem(implies(implies(implies(X_210,X_210),X_904),implies(X_211,X_904))) ),
inference(subst,[],[refute_0_10:[bind(X_64,$fot(implies(X_211,X_904))),bind(X_65,$fot(implies(X_210,X_210))),bind(X_66,$fot(X_904))]]) ).
cnf(refute_0_57,plain,
is_a_theorem(implies(implies(implies(X_210,X_210),X_904),implies(X_211,X_904))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(X_210,X_210)),implies(X_210,X_210)),X_904),implies(X_211,X_904))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
is_a_theorem(implies(implies(implies(X_905,X_905),X_907),implies(X_906,X_907))),
inference(subst,[],[refute_0_57:[bind(X_210,$fot(X_905)),bind(X_211,$fot(X_906)),bind(X_904,$fot(X_907))]]) ).
cnf(refute_0_59,plain,
( ~ is_a_theorem(implies(implies(X_905,X_905),X_907))
| is_a_theorem(implies(X_906,X_907)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_905,X_905),X_907),implies(X_906,X_907))) )],[refute_0_58,refute_0_34]) ).
cnf(refute_0_60,plain,
( ~ is_a_theorem(implies(implies(implies(X_1919,X_1920),implies(X_1919,X_1920)),implies(implies(X_1919,implies(not(X_1920),X_1920)),implies(X_1919,X_1920))))
| is_a_theorem(implies(X_906,implies(implies(X_1919,implies(not(X_1920),X_1920)),implies(X_1919,X_1920)))) ),
inference(subst,[],[refute_0_59:[bind(X_905,$fot(implies(X_1919,X_1920))),bind(X_907,$fot(implies(implies(X_1919,implies(not(X_1920),X_1920)),implies(X_1919,X_1920))))]]) ).
cnf(refute_0_61,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(X_1888,X_1889)),implies(X_1888,X_1889)),X_1887),implies(implies(X_1888,implies(not(X_1889),X_1889)),X_1887)))
| is_a_theorem(implies(implies(implies(X_1888,X_1889),X_1887),implies(implies(X_1888,implies(not(X_1889),X_1889)),X_1887))) ),
inference(subst,[],[refute_0_10:[bind(X_64,$fot(implies(implies(X_1888,implies(not(X_1889),X_1889)),X_1887))),bind(X_65,$fot(implies(X_1888,X_1889))),bind(X_66,$fot(X_1887))]]) ).
cnf(refute_0_62,plain,
( ~ is_a_theorem(implies(implies(X_1830,implies(not(X_1831),X_1831)),implies(X_1832,implies(X_1830,X_1831))))
| is_a_theorem(implies(implies(implies(X_1832,implies(X_1830,X_1831)),Z),implies(implies(X_1830,implies(not(X_1831),X_1831)),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(X_1830,implies(not(X_1831),X_1831)))),bind(Y,$fot(implies(X_1832,implies(X_1830,X_1831))))]]) ).
cnf(refute_0_63,plain,
( ~ is_a_theorem(implies(X_179,implies(not(implies(implies(not(X_177),X_177),X_177)),X_178)))
| is_a_theorem(implies(implies(implies(not(implies(implies(not(X_177),X_177),X_177)),X_178),Z),implies(X_179,Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_179)),bind(Y,$fot(implies(not(implies(implies(not(X_177),X_177),X_177)),X_178)))]]) ).
cnf(refute_0_64,plain,
( ~ is_a_theorem(implies(implies(not(X),X),X))
| is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)) ),
inference(subst,[],[refute_0_42:[bind(Y,$fot(X_9)),bind(X_6,$fot(implies(implies(not(X),X),X)))]]) ).
cnf(refute_0_65,plain,
is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),X),X)) )],[cn_2,refute_0_64]) ).
cnf(refute_0_66,plain,
is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_26)),
inference(subst,[],[refute_0_65:[bind(X_9,$fot(X_26))]]) ).
cnf(refute_0_67,plain,
( ~ is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_26))
| is_a_theorem(implies(implies(X_26,X_27),implies(not(implies(implies(not(X),X),X)),X_27))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(not(implies(implies(not(X),X),X)))),bind(Y,$fot(X_26)),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_68,plain,
is_a_theorem(implies(implies(X_26,X_27),implies(not(implies(implies(not(X),X),X)),X_27))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_26)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
is_a_theorem(implies(implies(not(X_150),X_149),implies(not(implies(implies(not(X),X),X)),X_149))),
inference(subst,[],[refute_0_68:[bind(X_26,$fot(not(X_150))),bind(X_27,$fot(X_149))]]) ).
cnf(refute_0_70,plain,
( ~ is_a_theorem(implies(implies(not(X_150),X_149),implies(not(implies(implies(not(X),X),X)),X_149)))
| is_a_theorem(implies(X_150,implies(not(implies(implies(not(X),X),X)),X_149))) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(X_149)),bind(X_31,$fot(X_150)),bind(X_32,$fot(implies(not(implies(implies(not(X),X),X)),X_149)))]]) ).
cnf(refute_0_71,plain,
is_a_theorem(implies(X_150,implies(not(implies(implies(not(X),X),X)),X_149))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_150),X_149),implies(not(implies(implies(not(X),X),X)),X_149))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
is_a_theorem(implies(X_179,implies(not(implies(implies(not(X_177),X_177),X_177)),X_178))),
inference(subst,[],[refute_0_71:[bind(X,$fot(X_177)),bind(X_149,$fot(X_178)),bind(X_150,$fot(X_179))]]) ).
cnf(refute_0_73,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_177),X_177),X_177)),X_178),Z),implies(X_179,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_179,implies(not(implies(implies(not(X_177),X_177),X_177)),X_178))) )],[refute_0_72,refute_0_63]) ).
cnf(refute_0_74,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_177),X_177),X_177)),implies(implies(not(X_177),X_177),X_177)),X_904),implies(X_179,X_904))),
inference(subst,[],[refute_0_73:[bind(Z,$fot(X_904)),bind(X_178,$fot(implies(implies(not(X_177),X_177),X_177)))]]) ).
cnf(refute_0_75,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(X_177),X_177),X_177)),implies(implies(not(X_177),X_177),X_177)),X_904),implies(X_179,X_904)))
| is_a_theorem(implies(implies(implies(implies(not(X_177),X_177),X_177),X_904),implies(X_179,X_904))) ),
inference(subst,[],[refute_0_10:[bind(X_64,$fot(implies(X_179,X_904))),bind(X_65,$fot(implies(implies(not(X_177),X_177),X_177))),bind(X_66,$fot(X_904))]]) ).
cnf(refute_0_76,plain,
is_a_theorem(implies(implies(implies(implies(not(X_177),X_177),X_177),X_904),implies(X_179,X_904))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(implies(not(X_177),X_177),X_177)),implies(implies(not(X_177),X_177),X_177)),X_904),implies(X_179,X_904))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
is_a_theorem(implies(implies(implies(implies(not(X_1757),X_1757),X_1757),implies(X_1755,X_1757)),implies(X_179,implies(X_1755,X_1757)))),
inference(subst,[],[refute_0_76:[bind(X_177,$fot(X_1757)),bind(X_904,$fot(implies(X_1755,X_1757)))]]) ).
cnf(refute_0_78,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(X_1757),X_1757),X_1757),implies(X_1755,X_1757)),implies(X_179,implies(X_1755,X_1757))))
| is_a_theorem(implies(implies(X_1755,implies(not(X_1757),X_1757)),implies(X_179,implies(X_1755,X_1757)))) ),
inference(subst,[],[refute_0_16:[bind(X_37,$fot(X_1755)),bind(X_38,$fot(implies(not(X_1757),X_1757))),bind(X_39,$fot(X_1757)),bind(X_40,$fot(implies(X_179,implies(X_1755,X_1757))))]]) ).
cnf(refute_0_79,plain,
is_a_theorem(implies(implies(X_1755,implies(not(X_1757),X_1757)),implies(X_179,implies(X_1755,X_1757)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(X_1757),X_1757),X_1757),implies(X_1755,X_1757)),implies(X_179,implies(X_1755,X_1757)))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
is_a_theorem(implies(implies(X_1830,implies(not(X_1831),X_1831)),implies(X_1832,implies(X_1830,X_1831)))),
inference(subst,[],[refute_0_79:[bind(X_1755,$fot(X_1830)),bind(X_1757,$fot(X_1831)),bind(X_179,$fot(X_1832))]]) ).
cnf(refute_0_81,plain,
is_a_theorem(implies(implies(implies(X_1832,implies(X_1830,X_1831)),Z),implies(implies(X_1830,implies(not(X_1831),X_1831)),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1830,implies(not(X_1831),X_1831)),implies(X_1832,implies(X_1830,X_1831)))) )],[refute_0_80,refute_0_62]) ).
cnf(refute_0_82,plain,
is_a_theorem(implies(implies(implies(not(implies(X_1888,X_1889)),implies(X_1888,X_1889)),X_1887),implies(implies(X_1888,implies(not(X_1889),X_1889)),X_1887))),
inference(subst,[],[refute_0_81:[bind(Z,$fot(X_1887)),bind(X_1830,$fot(X_1888)),bind(X_1831,$fot(X_1889)),bind(X_1832,$fot(not(implies(X_1888,X_1889))))]]) ).
cnf(refute_0_83,plain,
is_a_theorem(implies(implies(implies(X_1888,X_1889),X_1887),implies(implies(X_1888,implies(not(X_1889),X_1889)),X_1887))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(X_1888,X_1889)),implies(X_1888,X_1889)),X_1887),implies(implies(X_1888,implies(not(X_1889),X_1889)),X_1887))) )],[refute_0_82,refute_0_61]) ).
cnf(refute_0_84,plain,
is_a_theorem(implies(implies(implies(X_1919,X_1920),implies(X_1919,X_1920)),implies(implies(X_1919,implies(not(X_1920),X_1920)),implies(X_1919,X_1920)))),
inference(subst,[],[refute_0_83:[bind(X_1887,$fot(implies(X_1919,X_1920))),bind(X_1888,$fot(X_1919)),bind(X_1889,$fot(X_1920))]]) ).
cnf(refute_0_85,plain,
is_a_theorem(implies(X_906,implies(implies(X_1919,implies(not(X_1920),X_1920)),implies(X_1919,X_1920)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1919,X_1920),implies(X_1919,X_1920)),implies(implies(X_1919,implies(not(X_1920),X_1920)),implies(X_1919,X_1920)))) )],[refute_0_84,refute_0_60]) ).
cnf(refute_0_86,plain,
is_a_theorem(implies(not(implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095))),implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095)))),
inference(subst,[],[refute_0_85:[bind(X_1919,$fot(X_2094)),bind(X_1920,$fot(X_2095)),bind(X_906,$fot(not(implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095)))))]]) ).
cnf(refute_0_87,plain,
is_a_theorem(implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095))),implies(implies(X_2094,implies(not(X_2095),X_2095)),implies(X_2094,X_2095)))) )],[refute_0_86,refute_0_33]) ).
cnf(refute_0_88,plain,
is_a_theorem(implies(implies(X_2097,implies(not(X_2098),X_2098)),implies(X_2097,X_2098))),
inference(subst,[],[refute_0_87:[bind(X_2094,$fot(X_2097)),bind(X_2095,$fot(X_2098))]]) ).
cnf(refute_0_89,plain,
( ~ is_a_theorem(implies(X_2097,implies(not(X_2098),X_2098)))
| is_a_theorem(implies(X_2097,X_2098)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2097,implies(not(X_2098),X_2098)),implies(X_2097,X_2098))) )],[refute_0_88,refute_0_29]) ).
cnf(refute_0_90,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(not(X_37325),X_37326),not(X_37325)),not(X_37325)),X_37328),implies(not(X_37328),X_37328)))
| is_a_theorem(implies(implies(implies(implies(implies(not(X_37325),X_37326),not(X_37325)),not(X_37325)),X_37328),X_37328)) ),
inference(subst,[],[refute_0_89:[bind(X_2097,$fot(implies(implies(implies(implies(not(X_37325),X_37326),not(X_37325)),not(X_37325)),X_37328))),bind(X_2098,$fot(X_37328))]]) ).
cnf(refute_0_91,plain,
( ~ is_a_theorem(X_4480)
| ~ is_a_theorem(implies(X_4480,implies(X_4481,X_4480)))
| is_a_theorem(implies(X_4481,X_4480)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_4480)),bind(Y,$fot(implies(X_4481,X_4480)))]]) ).
cnf(refute_0_92,plain,
( ~ is_a_theorem(implies(implies(not(X_4478),X_4478),implies(X_4479,X_4478)))
| is_a_theorem(implies(X_4478,implies(X_4479,X_4478))) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(X_4478)),bind(X_31,$fot(X_4478)),bind(X_32,$fot(implies(X_4479,X_4478)))]]) ).
cnf(refute_0_93,plain,
( ~ is_a_theorem(implies(implies(implies(X_4475,X_4475),implies(not(X_4475),X_4475)),implies(X_4477,X_4475)))
| is_a_theorem(implies(implies(not(X_4475),X_4475),implies(X_4477,X_4475))) ),
inference(subst,[],[refute_0_16:[bind(X_37,$fot(not(X_4475))),bind(X_38,$fot(X_4475)),bind(X_39,$fot(X_4475)),bind(X_40,$fot(implies(X_4477,X_4475)))]]) ).
cnf(refute_0_94,plain,
is_a_theorem(implies(implies(X_4304,implies(not(X_2095),X_2095)),implies(X_4304,X_2095))),
inference(subst,[],[refute_0_87:[bind(X_2094,$fot(X_4304))]]) ).
cnf(refute_0_95,plain,
( ~ is_a_theorem(implies(implies(X_923,X_924),X_921))
| ~ is_a_theorem(implies(implies(implies(X_923,X_924),X_921),implies(implies(implies(X_922,X_922),X_924),X_921)))
| is_a_theorem(implies(implies(implies(X_922,X_922),X_924),X_921)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_923,X_924),X_921))),bind(Y,$fot(implies(implies(implies(X_922,X_922),X_924),X_921)))]]) ).
cnf(refute_0_96,plain,
( ~ is_a_theorem(implies(implies(implies(X_905,X_905),X_907),implies(X_906,X_907)))
| is_a_theorem(implies(implies(implies(X_906,X_907),Z),implies(implies(implies(X_905,X_905),X_907),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(implies(X_905,X_905),X_907))),bind(Y,$fot(implies(X_906,X_907)))]]) ).
cnf(refute_0_97,plain,
is_a_theorem(implies(implies(implies(X_906,X_907),Z),implies(implies(implies(X_905,X_905),X_907),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_905,X_905),X_907),implies(X_906,X_907))) )],[refute_0_58,refute_0_96]) ).
cnf(refute_0_98,plain,
is_a_theorem(implies(implies(implies(X_923,X_924),X_921),implies(implies(implies(X_922,X_922),X_924),X_921))),
inference(subst,[],[refute_0_97:[bind(Z,$fot(X_921)),bind(X_905,$fot(X_922)),bind(X_906,$fot(X_923)),bind(X_907,$fot(X_924))]]) ).
cnf(refute_0_99,plain,
( ~ is_a_theorem(implies(implies(X_923,X_924),X_921))
| is_a_theorem(implies(implies(implies(X_922,X_922),X_924),X_921)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_923,X_924),X_921),implies(implies(implies(X_922,X_922),X_924),X_921))) )],[refute_0_98,refute_0_95]) ).
cnf(refute_0_100,plain,
( ~ is_a_theorem(implies(implies(X_4304,implies(not(X_2095),X_2095)),implies(X_4304,X_2095)))
| is_a_theorem(implies(implies(implies(X_4303,X_4303),implies(not(X_2095),X_2095)),implies(X_4304,X_2095))) ),
inference(subst,[],[refute_0_99:[bind(X_921,$fot(implies(X_4304,X_2095))),bind(X_922,$fot(X_4303)),bind(X_923,$fot(X_4304)),bind(X_924,$fot(implies(not(X_2095),X_2095)))]]) ).
cnf(refute_0_101,plain,
is_a_theorem(implies(implies(implies(X_4303,X_4303),implies(not(X_2095),X_2095)),implies(X_4304,X_2095))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_4304,implies(not(X_2095),X_2095)),implies(X_4304,X_2095))) )],[refute_0_94,refute_0_100]) ).
cnf(refute_0_102,plain,
is_a_theorem(implies(implies(implies(X_4475,X_4475),implies(not(X_4475),X_4475)),implies(X_4477,X_4475))),
inference(subst,[],[refute_0_101:[bind(X_2095,$fot(X_4475)),bind(X_4303,$fot(X_4475)),bind(X_4304,$fot(X_4477))]]) ).
cnf(refute_0_103,plain,
is_a_theorem(implies(implies(not(X_4475),X_4475),implies(X_4477,X_4475))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_4475,X_4475),implies(not(X_4475),X_4475)),implies(X_4477,X_4475))) )],[refute_0_102,refute_0_93]) ).
cnf(refute_0_104,plain,
is_a_theorem(implies(implies(not(X_4478),X_4478),implies(X_4479,X_4478))),
inference(subst,[],[refute_0_103:[bind(X_4475,$fot(X_4478)),bind(X_4477,$fot(X_4479))]]) ).
cnf(refute_0_105,plain,
is_a_theorem(implies(X_4478,implies(X_4479,X_4478))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_4478),X_4478),implies(X_4479,X_4478))) )],[refute_0_104,refute_0_92]) ).
cnf(refute_0_106,plain,
is_a_theorem(implies(X_4480,implies(X_4481,X_4480))),
inference(subst,[],[refute_0_105:[bind(X_4478,$fot(X_4480)),bind(X_4479,$fot(X_4481))]]) ).
cnf(refute_0_107,plain,
( ~ is_a_theorem(X_4480)
| is_a_theorem(implies(X_4481,X_4480)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_4480,implies(X_4481,X_4480))) )],[refute_0_106,refute_0_91]) ).
cnf(refute_0_108,plain,
( ~ is_a_theorem(implies(X_16967,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965))))
| is_a_theorem(implies(X_4481,implies(X_16967,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965))))) ),
inference(subst,[],[refute_0_107:[bind(X_4480,$fot(implies(X_16967,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)))))]]) ).
cnf(refute_0_109,plain,
( ~ is_a_theorem(implies(X_16526,implies(not(implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523))),implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523)))))
| is_a_theorem(implies(X_16526,implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523)))) ),
inference(subst,[],[refute_0_89:[bind(X_2097,$fot(X_16526)),bind(X_2098,$fot(implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523))))]]) ).
cnf(refute_0_110,plain,
( ~ is_a_theorem(implies(not(implies(implies(implies(not(X_16398),X_16399),not(X_16398)),not(X_16398))),X_16400))
| is_a_theorem(implies(X_4481,implies(not(implies(implies(implies(not(X_16398),X_16399),not(X_16398)),not(X_16398))),X_16400))) ),
inference(subst,[],[refute_0_107:[bind(X_4480,$fot(implies(not(implies(implies(implies(not(X_16398),X_16399),not(X_16398)),not(X_16398))),X_16400)))]]) ).
cnf(refute_0_111,plain,
( ~ is_a_theorem(implies(X_28,X_29))
| ~ is_a_theorem(implies(implies(X_28,X_29),implies(implies(not(X_28),X_28),X_29)))
| is_a_theorem(implies(implies(not(X_28),X_28),X_29)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_28,X_29))),bind(Y,$fot(implies(implies(not(X_28),X_28),X_29)))]]) ).
cnf(refute_0_112,plain,
( ~ is_a_theorem(implies(X_28,X_29))
| is_a_theorem(implies(implies(not(X_28),X_28),X_29)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_28,X_29),implies(implies(not(X_28),X_28),X_29))) )],[refute_0_7,refute_0_111]) ).
cnf(refute_0_113,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_14828),X_14829),not(X_14828)),not(X_14828)))
| is_a_theorem(implies(implies(not(implies(implies(not(X_14828),X_14829),not(X_14828))),implies(implies(not(X_14828),X_14829),not(X_14828))),not(X_14828))) ),
inference(subst,[],[refute_0_112:[bind(X_28,$fot(implies(implies(not(X_14828),X_14829),not(X_14828)))),bind(X_29,$fot(not(X_14828)))]]) ).
cnf(refute_0_114,plain,
( ~ is_a_theorem(implies(implies(X_14804,not(X_14804)),not(X_14804)))
| is_a_theorem(implies(implies(implies(not(X_14804),X_46),not(X_14804)),not(X_14804))) ),
inference(subst,[],[refute_0_26:[bind(X_45,$fot(not(X_14804))),bind(X_47,$fot(X_14804)),bind(X_48,$fot(not(X_14804)))]]) ).
cnf(refute_0_115,plain,
( ~ is_a_theorem(implies(not(not(X_11306)),X_11306))
| is_a_theorem(implies(implies(X_11306,Z),implies(not(not(X_11306)),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(not(not(X_11306)))),bind(Y,$fot(X_11306))]]) ).
cnf(refute_0_116,plain,
( ~ is_a_theorem(implies(implies(implies(not(not(implies(not(X_5953),X_5953))),X_5954),X_5953),X_5953))
| ~ is_a_theorem(implies(implies(not(not(implies(not(X_5953),X_5953))),X_5954),X_5953))
| is_a_theorem(X_5953) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(not(implies(not(X_5953),X_5953))),X_5954),X_5953))),bind(Y,$fot(X_5953))]]) ).
cnf(refute_0_117,plain,
( ~ is_a_theorem(implies(implies(X_1040,X_1040),X_1039))
| ~ is_a_theorem(implies(implies(implies(X_1040,X_1040),X_1039),X_1039))
| is_a_theorem(X_1039) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1040,X_1040),X_1039))),bind(Y,$fot(X_1039))]]) ).
cnf(refute_0_118,plain,
( ~ is_a_theorem(implies(not(implies(implies(implies(X_1038,X_1038),X_1036),X_1036)),implies(implies(implies(X_1038,X_1038),X_1036),X_1036)))
| is_a_theorem(implies(implies(implies(X_1038,X_1038),X_1036),X_1036)) ),
inference(subst,[],[refute_0_32:[bind(X_7,$fot(implies(implies(implies(X_1038,X_1038),X_1036),X_1036)))]]) ).
cnf(refute_0_119,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_924),X_924),X_921),implies(implies(implies(X_922,X_922),X_924),X_921)))
| is_a_theorem(implies(implies(X_924,X_921),implies(implies(implies(X_922,X_922),X_924),X_921))) ),
inference(subst,[],[refute_0_10:[bind(X_64,$fot(implies(implies(implies(X_922,X_922),X_924),X_921))),bind(X_65,$fot(X_924)),bind(X_66,$fot(X_921))]]) ).
cnf(refute_0_120,plain,
is_a_theorem(implies(implies(implies(not(X_924),X_924),X_921),implies(implies(implies(X_922,X_922),X_924),X_921))),
inference(subst,[],[refute_0_97:[bind(Z,$fot(X_921)),bind(X_905,$fot(X_922)),bind(X_906,$fot(not(X_924))),bind(X_907,$fot(X_924))]]) ).
cnf(refute_0_121,plain,
is_a_theorem(implies(implies(X_924,X_921),implies(implies(implies(X_922,X_922),X_924),X_921))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_924),X_924),X_921),implies(implies(implies(X_922,X_922),X_924),X_921))) )],[refute_0_120,refute_0_119]) ).
cnf(refute_0_122,plain,
is_a_theorem(implies(implies(X_1013,X_1013),implies(implies(implies(X_922,X_922),X_1013),X_1013))),
inference(subst,[],[refute_0_121:[bind(X_921,$fot(X_1013)),bind(X_924,$fot(X_1013))]]) ).
cnf(refute_0_123,plain,
( ~ is_a_theorem(implies(implies(X_1013,X_1013),implies(implies(implies(X_922,X_922),X_1013),X_1013)))
| is_a_theorem(implies(X_1014,implies(implies(implies(X_922,X_922),X_1013),X_1013))) ),
inference(subst,[],[refute_0_59:[bind(X_905,$fot(X_1013)),bind(X_906,$fot(X_1014)),bind(X_907,$fot(implies(implies(implies(X_922,X_922),X_1013),X_1013)))]]) ).
cnf(refute_0_124,plain,
is_a_theorem(implies(X_1014,implies(implies(implies(X_922,X_922),X_1013),X_1013))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1013,X_1013),implies(implies(implies(X_922,X_922),X_1013),X_1013))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
is_a_theorem(implies(not(implies(implies(implies(X_1038,X_1038),X_1036),X_1036)),implies(implies(implies(X_1038,X_1038),X_1036),X_1036))),
inference(subst,[],[refute_0_124:[bind(X_1013,$fot(X_1036)),bind(X_1014,$fot(not(implies(implies(implies(X_1038,X_1038),X_1036),X_1036)))),bind(X_922,$fot(X_1038))]]) ).
cnf(refute_0_126,plain,
is_a_theorem(implies(implies(implies(X_1038,X_1038),X_1036),X_1036)),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(implies(X_1038,X_1038),X_1036),X_1036)),implies(implies(implies(X_1038,X_1038),X_1036),X_1036))) )],[refute_0_125,refute_0_118]) ).
cnf(refute_0_127,plain,
is_a_theorem(implies(implies(implies(X_1040,X_1040),X_1039),X_1039)),
inference(subst,[],[refute_0_126:[bind(X_1036,$fot(X_1039)),bind(X_1038,$fot(X_1040))]]) ).
cnf(refute_0_128,plain,
( ~ is_a_theorem(implies(implies(X_1040,X_1040),X_1039))
| is_a_theorem(X_1039) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1040,X_1040),X_1039),X_1039)) )],[refute_0_127,refute_0_117]) ).
cnf(refute_0_129,plain,
( ~ is_a_theorem(implies(implies(X_1040,X_1040),implies(implies(not(implies(not(X_5264),X_5264)),X_5264),X_5264)))
| is_a_theorem(implies(implies(not(implies(not(X_5264),X_5264)),X_5264),X_5264)) ),
inference(subst,[],[refute_0_128:[bind(X_1039,$fot(implies(implies(not(implies(not(X_5264),X_5264)),X_5264),X_5264)))]]) ).
cnf(refute_0_130,plain,
( ~ is_a_theorem(implies(X_1830,implies(not(X_1831),X_1831)))
| ~ is_a_theorem(implies(implies(X_1830,implies(not(X_1831),X_1831)),implies(X_1832,implies(X_1830,X_1831))))
| is_a_theorem(implies(X_1832,implies(X_1830,X_1831))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_1830,implies(not(X_1831),X_1831)))),bind(Y,$fot(implies(X_1832,implies(X_1830,X_1831))))]]) ).
cnf(refute_0_131,plain,
( ~ is_a_theorem(implies(X_1830,implies(not(X_1831),X_1831)))
| is_a_theorem(implies(X_1832,implies(X_1830,X_1831))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1830,implies(not(X_1831),X_1831)),implies(X_1832,implies(X_1830,X_1831)))) )],[refute_0_80,refute_0_130]) ).
cnf(refute_0_132,plain,
( ~ is_a_theorem(implies(implies(not(implies(not(X_5049),X_5049)),X_5049),implies(not(X_5049),X_5049)))
| is_a_theorem(implies(X_1832,implies(implies(not(implies(not(X_5049),X_5049)),X_5049),X_5049))) ),
inference(subst,[],[refute_0_131:[bind(X_1830,$fot(implies(not(implies(not(X_5049),X_5049)),X_5049))),bind(X_1831,$fot(X_5049))]]) ).
cnf(refute_0_133,plain,
( ~ is_a_theorem(implies(implies(implies(X_5045,implies(not(X_5045),X_5046)),implies(not(implies(not(X_5045),X_5046)),implies(not(X_5045),X_5046))),implies(not(X_5045),X_5046)))
| is_a_theorem(implies(implies(not(implies(not(X_5045),X_5046)),X_5045),implies(not(X_5045),X_5046))) ),
inference(subst,[],[refute_0_16:[bind(X_37,$fot(not(implies(not(X_5045),X_5046)))),bind(X_38,$fot(X_5045)),bind(X_39,$fot(implies(not(X_5045),X_5046))),bind(X_40,$fot(implies(not(X_5045),X_5046)))]]) ).
cnf(refute_0_134,plain,
( ~ is_a_theorem(implies(implies(X_1040,X_1040),implies(implies(implies(X_5041,implies(not(X_5041),X_5042)),implies(not(X_5043),X_5043)),X_5043)))
| is_a_theorem(implies(implies(implies(X_5041,implies(not(X_5041),X_5042)),implies(not(X_5043),X_5043)),X_5043)) ),
inference(subst,[],[refute_0_128:[bind(X_1039,$fot(implies(implies(implies(X_5041,implies(not(X_5041),X_5042)),implies(not(X_5043),X_5043)),X_5043)))]]) ).
cnf(refute_0_135,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(X_3817,implies(not(X_3817),X_3818))),implies(X_3817,implies(not(X_3817),X_3818))),X_3820),X_3820))
| is_a_theorem(implies(implies(implies(X_3817,implies(not(X_3817),X_3818)),X_3820),X_3820)) ),
inference(subst,[],[refute_0_10:[bind(X_64,$fot(X_3820)),bind(X_65,$fot(implies(X_3817,implies(not(X_3817),X_3818)))),bind(X_66,$fot(X_3820))]]) ).
cnf(refute_0_136,plain,
( ~ is_a_theorem(implies(implies(not(implies(not(X_86),X_86)),implies(not(X_86),X_86)),X_86))
| ~ is_a_theorem(implies(not(implies(not(X_86),X_86)),implies(not(X_86),X_86)))
| is_a_theorem(X_86) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(not(implies(not(X_86),X_86)),implies(not(X_86),X_86)))),bind(Y,$fot(X_86))]]) ).
cnf(refute_0_137,plain,
is_a_theorem(implies(implies(not(X_85),X_85),X_85)),
inference(subst,[],[cn_2:[bind(X,$fot(X_85))]]) ).
cnf(refute_0_138,plain,
( ~ is_a_theorem(implies(implies(not(X_85),X_85),X_85))
| is_a_theorem(implies(implies(not(implies(not(X_85),X_85)),implies(not(X_85),X_85)),X_85)) ),
inference(subst,[],[refute_0_112:[bind(X_28,$fot(implies(not(X_85),X_85))),bind(X_29,$fot(X_85))]]) ).
cnf(refute_0_139,plain,
is_a_theorem(implies(implies(not(implies(not(X_85),X_85)),implies(not(X_85),X_85)),X_85)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_85),X_85),X_85)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
is_a_theorem(implies(implies(not(implies(not(X_86),X_86)),implies(not(X_86),X_86)),X_86)),
inference(subst,[],[refute_0_139:[bind(X_85,$fot(X_86))]]) ).
cnf(refute_0_141,plain,
( ~ is_a_theorem(implies(not(implies(not(X_86),X_86)),implies(not(X_86),X_86)))
| is_a_theorem(X_86) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(implies(not(X_86),X_86)),implies(not(X_86),X_86)),X_86)) )],[refute_0_140,refute_0_136]) ).
cnf(refute_0_142,plain,
( ~ is_a_theorem(implies(not(implies(not(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)),implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815))),implies(not(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)),implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815))))
| is_a_theorem(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)) ),
inference(subst,[],[refute_0_141:[bind(X_86,$fot(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)))]]) ).
cnf(refute_0_143,plain,
( ~ is_a_theorem(implies(X_1604,implies(implies(implies(not(implies(X_1600,implies(not(X_1600),X_1601))),X_1602),X_1603),X_1603)))
| is_a_theorem(implies(not(implies(X_1604,implies(implies(implies(not(implies(X_1600,implies(not(X_1600),X_1601))),X_1602),X_1603),X_1603))),Y)) ),
inference(subst,[],[refute_0_42:[bind(X_6,$fot(implies(X_1604,implies(implies(implies(not(implies(X_1600,implies(not(X_1600),X_1601))),X_1602),X_1603),X_1603))))]]) ).
cnf(refute_0_144,plain,
( ~ is_a_theorem(implies(implies(X_1250,X_1250),implies(implies(implies(not(implies(X_1246,implies(not(X_1246),X_1247))),X_1248),X_1250),X_1250)))
| is_a_theorem(implies(X_906,implies(implies(implies(not(implies(X_1246,implies(not(X_1246),X_1247))),X_1248),X_1250),X_1250))) ),
inference(subst,[],[refute_0_59:[bind(X_905,$fot(X_1250)),bind(X_907,$fot(implies(implies(implies(not(implies(X_1246,implies(not(X_1246),X_1247))),X_1248),X_1250),X_1250)))]]) ).
cnf(refute_0_145,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_673),implies(X_677,X_673)))
| is_a_theorem(implies(implies(implies(X_677,X_673),Z),implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_673),Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_673))),bind(Y,$fot(implies(X_677,X_673)))]]) ).
cnf(refute_0_146,plain,
( ~ is_a_theorem(implies(X_167,implies(not(implies(X_164,implies(not(X_164),X_165))),X_166)))
| is_a_theorem(implies(implies(implies(not(implies(X_164,implies(not(X_164),X_165))),X_166),Z),implies(X_167,Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_167)),bind(Y,$fot(implies(not(implies(X_164,implies(not(X_164),X_165))),X_166)))]]) ).
cnf(refute_0_147,plain,
( ~ is_a_theorem(implies(X,implies(not(X),Y)))
| is_a_theorem(implies(not(implies(X,implies(not(X),Y))),X_9)) ),
inference(subst,[],[refute_0_42:[bind(Y,$fot(X_9)),bind(X_6,$fot(implies(X,implies(not(X),Y))))]]) ).
cnf(refute_0_148,plain,
is_a_theorem(implies(not(implies(X,implies(not(X),Y))),X_9)),
inference(resolve,[$cnf( is_a_theorem(implies(X,implies(not(X),Y))) )],[cn_3,refute_0_147]) ).
cnf(refute_0_149,plain,
is_a_theorem(implies(not(implies(X,implies(not(X),Y))),X_26)),
inference(subst,[],[refute_0_148:[bind(X_9,$fot(X_26))]]) ).
cnf(refute_0_150,plain,
( ~ is_a_theorem(implies(not(implies(X,implies(not(X),Y))),X_26))
| is_a_theorem(implies(implies(X_26,X_27),implies(not(implies(X,implies(not(X),Y))),X_27))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(not(implies(X,implies(not(X),Y))))),bind(Y,$fot(X_26)),bind(Z,$fot(X_27))]]) ).
cnf(refute_0_151,plain,
is_a_theorem(implies(implies(X_26,X_27),implies(not(implies(X,implies(not(X),Y))),X_27))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(X,implies(not(X),Y))),X_26)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
is_a_theorem(implies(implies(not(X_150),X_149),implies(not(implies(X,implies(not(X),Y))),X_149))),
inference(subst,[],[refute_0_151:[bind(X_26,$fot(not(X_150))),bind(X_27,$fot(X_149))]]) ).
cnf(refute_0_153,plain,
( ~ is_a_theorem(implies(implies(not(X_150),X_149),implies(not(implies(X,implies(not(X),Y))),X_149)))
| is_a_theorem(implies(X_150,implies(not(implies(X,implies(not(X),Y))),X_149))) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(X_149)),bind(X_31,$fot(X_150)),bind(X_32,$fot(implies(not(implies(X,implies(not(X),Y))),X_149)))]]) ).
cnf(refute_0_154,plain,
is_a_theorem(implies(X_150,implies(not(implies(X,implies(not(X),Y))),X_149))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_150),X_149),implies(not(implies(X,implies(not(X),Y))),X_149))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
is_a_theorem(implies(X_167,implies(not(implies(X_164,implies(not(X_164),X_165))),X_166))),
inference(subst,[],[refute_0_154:[bind(X,$fot(X_164)),bind(Y,$fot(X_165)),bind(X_149,$fot(X_166)),bind(X_150,$fot(X_167))]]) ).
cnf(refute_0_156,plain,
is_a_theorem(implies(implies(implies(not(implies(X_164,implies(not(X_164),X_165))),X_166),Z),implies(X_167,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_167,implies(not(implies(X_164,implies(not(X_164),X_165))),X_166))) )],[refute_0_155,refute_0_146]) ).
cnf(refute_0_157,plain,
is_a_theorem(implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_673),implies(X_677,X_673))),
inference(subst,[],[refute_0_156:[bind(Z,$fot(X_673)),bind(X_164,$fot(X_674)),bind(X_165,$fot(X_675)),bind(X_166,$fot(X_676)),bind(X_167,$fot(X_677))]]) ).
cnf(refute_0_158,plain,
is_a_theorem(implies(implies(implies(X_677,X_673),Z),implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_673),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_673),implies(X_677,X_673))) )],[refute_0_157,refute_0_145]) ).
cnf(refute_0_159,plain,
is_a_theorem(implies(implies(implies(not(X_903),X_903),X_904),implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_903),X_904))),
inference(subst,[],[refute_0_158:[bind(Z,$fot(X_904)),bind(X_673,$fot(X_903)),bind(X_677,$fot(not(X_903)))]]) ).
cnf(refute_0_160,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_903),X_903),X_904),implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_903),X_904)))
| is_a_theorem(implies(implies(X_903,X_904),implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_903),X_904))) ),
inference(subst,[],[refute_0_10:[bind(X_64,$fot(implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_903),X_904))),bind(X_65,$fot(X_903)),bind(X_66,$fot(X_904))]]) ).
cnf(refute_0_161,plain,
is_a_theorem(implies(implies(X_903,X_904),implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_903),X_904))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_903),X_903),X_904),implies(implies(implies(not(implies(X_674,implies(not(X_674),X_675))),X_676),X_903),X_904))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
is_a_theorem(implies(implies(X_1250,X_1250),implies(implies(implies(not(implies(X_1246,implies(not(X_1246),X_1247))),X_1248),X_1250),X_1250))),
inference(subst,[],[refute_0_161:[bind(X_674,$fot(X_1246)),bind(X_675,$fot(X_1247)),bind(X_676,$fot(X_1248)),bind(X_903,$fot(X_1250)),bind(X_904,$fot(X_1250))]]) ).
cnf(refute_0_163,plain,
is_a_theorem(implies(X_906,implies(implies(implies(not(implies(X_1246,implies(not(X_1246),X_1247))),X_1248),X_1250),X_1250))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1250,X_1250),implies(implies(implies(not(implies(X_1246,implies(not(X_1246),X_1247))),X_1248),X_1250),X_1250))) )],[refute_0_162,refute_0_144]) ).
cnf(refute_0_164,plain,
is_a_theorem(implies(X_1604,implies(implies(implies(not(implies(X_1600,implies(not(X_1600),X_1601))),X_1602),X_1603),X_1603))),
inference(subst,[],[refute_0_163:[bind(X_1246,$fot(X_1600)),bind(X_1247,$fot(X_1601)),bind(X_1248,$fot(X_1602)),bind(X_1250,$fot(X_1603)),bind(X_906,$fot(X_1604))]]) ).
cnf(refute_0_165,plain,
is_a_theorem(implies(not(implies(X_1604,implies(implies(implies(not(implies(X_1600,implies(not(X_1600),X_1601))),X_1602),X_1603),X_1603))),Y)),
inference(resolve,[$cnf( is_a_theorem(implies(X_1604,implies(implies(implies(not(implies(X_1600,implies(not(X_1600),X_1601))),X_1602),X_1603),X_1603))) )],[refute_0_164,refute_0_143]) ).
cnf(refute_0_166,plain,
is_a_theorem(implies(not(implies(not(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)),implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815))),implies(not(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)),implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)))),
inference(subst,[],[refute_0_165:[bind(Y,$fot(implies(not(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)),implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)))),bind(X_1600,$fot(X_3812)),bind(X_1601,$fot(X_3813)),bind(X_1602,$fot(X_3814)),bind(X_1603,$fot(X_3815)),bind(X_1604,$fot(not(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815))))]]) ).
cnf(refute_0_167,plain,
is_a_theorem(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(not(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)),implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815))),implies(not(implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)),implies(implies(implies(not(implies(X_3812,implies(not(X_3812),X_3813))),X_3814),X_3815),X_3815)))) )],[refute_0_166,refute_0_142]) ).
cnf(refute_0_168,plain,
is_a_theorem(implies(implies(implies(not(implies(X_3817,implies(not(X_3817),X_3818))),implies(X_3817,implies(not(X_3817),X_3818))),X_3820),X_3820)),
inference(subst,[],[refute_0_167:[bind(X_3812,$fot(X_3817)),bind(X_3813,$fot(X_3818)),bind(X_3814,$fot(implies(X_3817,implies(not(X_3817),X_3818)))),bind(X_3815,$fot(X_3820))]]) ).
cnf(refute_0_169,plain,
is_a_theorem(implies(implies(implies(X_3817,implies(not(X_3817),X_3818)),X_3820),X_3820)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(X_3817,implies(not(X_3817),X_3818))),implies(X_3817,implies(not(X_3817),X_3818))),X_3820),X_3820)) )],[refute_0_168,refute_0_135]) ).
cnf(refute_0_170,plain,
is_a_theorem(implies(implies(implies(X_3817,implies(not(X_3817),X_3818)),implies(not(X_4958),X_4958)),implies(not(X_4958),X_4958))),
inference(subst,[],[refute_0_169:[bind(X_3820,$fot(implies(not(X_4958),X_4958)))]]) ).
cnf(refute_0_171,plain,
( ~ is_a_theorem(implies(implies(implies(X_3817,implies(not(X_3817),X_3818)),implies(not(X_4958),X_4958)),implies(not(X_4958),X_4958)))
| is_a_theorem(implies(X_4959,implies(implies(implies(X_3817,implies(not(X_3817),X_3818)),implies(not(X_4958),X_4958)),X_4958))) ),
inference(subst,[],[refute_0_131:[bind(X_1830,$fot(implies(implies(X_3817,implies(not(X_3817),X_3818)),implies(not(X_4958),X_4958)))),bind(X_1831,$fot(X_4958)),bind(X_1832,$fot(X_4959))]]) ).
cnf(refute_0_172,plain,
is_a_theorem(implies(X_4959,implies(implies(implies(X_3817,implies(not(X_3817),X_3818)),implies(not(X_4958),X_4958)),X_4958))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3817,implies(not(X_3817),X_3818)),implies(not(X_4958),X_4958)),implies(not(X_4958),X_4958))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
is_a_theorem(implies(implies(X_1040,X_1040),implies(implies(implies(X_5041,implies(not(X_5041),X_5042)),implies(not(X_5043),X_5043)),X_5043))),
inference(subst,[],[refute_0_172:[bind(X_3817,$fot(X_5041)),bind(X_3818,$fot(X_5042)),bind(X_4958,$fot(X_5043)),bind(X_4959,$fot(implies(X_1040,X_1040)))]]) ).
cnf(refute_0_174,plain,
is_a_theorem(implies(implies(implies(X_5041,implies(not(X_5041),X_5042)),implies(not(X_5043),X_5043)),X_5043)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1040,X_1040),implies(implies(implies(X_5041,implies(not(X_5041),X_5042)),implies(not(X_5043),X_5043)),X_5043))) )],[refute_0_173,refute_0_134]) ).
cnf(refute_0_175,plain,
is_a_theorem(implies(implies(implies(X_5045,implies(not(X_5045),X_5046)),implies(not(implies(not(X_5045),X_5046)),implies(not(X_5045),X_5046))),implies(not(X_5045),X_5046))),
inference(subst,[],[refute_0_174:[bind(X_5041,$fot(X_5045)),bind(X_5042,$fot(X_5046)),bind(X_5043,$fot(implies(not(X_5045),X_5046)))]]) ).
cnf(refute_0_176,plain,
is_a_theorem(implies(implies(not(implies(not(X_5045),X_5046)),X_5045),implies(not(X_5045),X_5046))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_5045,implies(not(X_5045),X_5046)),implies(not(implies(not(X_5045),X_5046)),implies(not(X_5045),X_5046))),implies(not(X_5045),X_5046))) )],[refute_0_175,refute_0_133]) ).
cnf(refute_0_177,plain,
is_a_theorem(implies(implies(not(implies(not(X_5049),X_5049)),X_5049),implies(not(X_5049),X_5049))),
inference(subst,[],[refute_0_176:[bind(X_5045,$fot(X_5049)),bind(X_5046,$fot(X_5049))]]) ).
cnf(refute_0_178,plain,
is_a_theorem(implies(X_1832,implies(implies(not(implies(not(X_5049),X_5049)),X_5049),X_5049))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(implies(not(X_5049),X_5049)),X_5049),implies(not(X_5049),X_5049))) )],[refute_0_177,refute_0_132]) ).
cnf(refute_0_179,plain,
is_a_theorem(implies(implies(X_1040,X_1040),implies(implies(not(implies(not(X_5264),X_5264)),X_5264),X_5264))),
inference(subst,[],[refute_0_178:[bind(X_1832,$fot(implies(X_1040,X_1040))),bind(X_5049,$fot(X_5264))]]) ).
cnf(refute_0_180,plain,
is_a_theorem(implies(implies(not(implies(not(X_5264),X_5264)),X_5264),X_5264)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1040,X_1040),implies(implies(not(implies(not(X_5264),X_5264)),X_5264),X_5264))) )],[refute_0_179,refute_0_129]) ).
cnf(refute_0_181,plain,
is_a_theorem(implies(implies(not(implies(not(X_5940),X_5940)),X_5940),X_5940)),
inference(subst,[],[refute_0_180:[bind(X_5264,$fot(X_5940))]]) ).
cnf(refute_0_182,plain,
( ~ is_a_theorem(implies(implies(not(implies(not(X_5940),X_5940)),X_5940),X_5940))
| is_a_theorem(implies(implies(implies(not(not(implies(not(X_5940),X_5940))),X_5941),X_5940),X_5940)) ),
inference(subst,[],[refute_0_26:[bind(X_45,$fot(X_5940)),bind(X_46,$fot(X_5941)),bind(X_47,$fot(not(implies(not(X_5940),X_5940)))),bind(X_48,$fot(X_5940))]]) ).
cnf(refute_0_183,plain,
is_a_theorem(implies(implies(implies(not(not(implies(not(X_5940),X_5940))),X_5941),X_5940),X_5940)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(implies(not(X_5940),X_5940)),X_5940),X_5940)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
is_a_theorem(implies(implies(implies(not(not(implies(not(X_5953),X_5953))),X_5954),X_5953),X_5953)),
inference(subst,[],[refute_0_183:[bind(X_5940,$fot(X_5953)),bind(X_5941,$fot(X_5954))]]) ).
cnf(refute_0_185,plain,
( ~ is_a_theorem(implies(implies(not(not(implies(not(X_5953),X_5953))),X_5954),X_5953))
| is_a_theorem(X_5953) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(not(implies(not(X_5953),X_5953))),X_5954),X_5953),X_5953)) )],[refute_0_184,refute_0_116]) ).
cnf(refute_0_186,plain,
( ~ is_a_theorem(implies(implies(not(not(implies(not(implies(not(not(X_11304)),X_11304)),implies(not(not(X_11304)),X_11304)))),X_5954),implies(not(not(X_11304)),X_11304)))
| is_a_theorem(implies(not(not(X_11304)),X_11304)) ),
inference(subst,[],[refute_0_185:[bind(X_5953,$fot(implies(not(not(X_11304)),X_11304)))]]) ).
cnf(refute_0_187,plain,
( ~ is_a_theorem(implies(not(not(X_11301)),implies(not(X_11301),X_11301)))
| is_a_theorem(implies(X_1832,implies(not(not(X_11301)),X_11301))) ),
inference(subst,[],[refute_0_131:[bind(X_1830,$fot(not(not(X_11301)))),bind(X_1831,$fot(X_11301))]]) ).
cnf(refute_0_188,plain,
( ~ is_a_theorem(implies(implies(not(not(X_11298)),not(X_11298)),implies(X_11298,X_11299)))
| is_a_theorem(implies(not(X_11298),implies(X_11298,X_11299))) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(not(X_11298))),bind(X_31,$fot(not(X_11298))),bind(X_32,$fot(implies(X_11298,X_11299)))]]) ).
cnf(refute_0_189,plain,
( ~ is_a_theorem(implies(X_1775,not(X_1777)))
| ~ is_a_theorem(implies(implies(X_1775,not(X_1777)),implies(X_1777,implies(X_1775,X_1776))))
| is_a_theorem(implies(X_1777,implies(X_1775,X_1776))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_1775,not(X_1777)))),bind(Y,$fot(implies(X_1777,implies(X_1775,X_1776))))]]) ).
cnf(refute_0_190,plain,
is_a_theorem(implies(implies(implies(not(X_25),X_1757),implies(X_1755,X_1757)),implies(X_25,implies(X_1755,X_1757)))),
inference(subst,[],[refute_0_22:[bind(Y,$fot(X_1757)),bind(X_27,$fot(implies(X_1755,X_1757)))]]) ).
cnf(refute_0_191,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_25),X_1757),implies(X_1755,X_1757)),implies(X_25,implies(X_1755,X_1757))))
| is_a_theorem(implies(implies(X_1755,not(X_25)),implies(X_25,implies(X_1755,X_1757)))) ),
inference(subst,[],[refute_0_16:[bind(X_37,$fot(X_1755)),bind(X_38,$fot(not(X_25))),bind(X_39,$fot(X_1757)),bind(X_40,$fot(implies(X_25,implies(X_1755,X_1757))))]]) ).
cnf(refute_0_192,plain,
is_a_theorem(implies(implies(X_1755,not(X_25)),implies(X_25,implies(X_1755,X_1757)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_25),X_1757),implies(X_1755,X_1757)),implies(X_25,implies(X_1755,X_1757)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
is_a_theorem(implies(implies(X_1775,not(X_1777)),implies(X_1777,implies(X_1775,X_1776)))),
inference(subst,[],[refute_0_192:[bind(X_1755,$fot(X_1775)),bind(X_1757,$fot(X_1776)),bind(X_25,$fot(X_1777))]]) ).
cnf(refute_0_194,plain,
( ~ is_a_theorem(implies(X_1775,not(X_1777)))
| is_a_theorem(implies(X_1777,implies(X_1775,X_1776))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1775,not(X_1777)),implies(X_1777,implies(X_1775,X_1776)))) )],[refute_0_193,refute_0_189]) ).
cnf(refute_0_195,plain,
( ~ is_a_theorem(implies(X_11294,not(implies(not(not(X_11294)),not(X_11294)))))
| is_a_theorem(implies(implies(not(not(X_11294)),not(X_11294)),implies(X_11294,X_1776))) ),
inference(subst,[],[refute_0_194:[bind(X_1775,$fot(X_11294)),bind(X_1777,$fot(implies(not(not(X_11294)),not(X_11294))))]]) ).
cnf(refute_0_196,plain,
( ~ is_a_theorem(implies(implies(not(X_31),not(implies(not(not(X_31)),not(X_31)))),not(implies(not(not(X_31)),not(X_31)))))
| is_a_theorem(implies(X_31,not(implies(not(not(X_31)),not(X_31))))) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(not(implies(not(not(X_31)),not(X_31))))),bind(X_32,$fot(not(implies(not(not(X_31)),not(X_31)))))]]) ).
cnf(refute_0_197,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(not(X_11291),X_11291)),not(implies(not(X_11291),X_11291))),implies(X_11291,not(implies(not(X_11291),X_11291)))),not(implies(not(X_11291),X_11291))))
| is_a_theorem(implies(implies(X_11291,not(implies(not(X_11291),X_11291))),not(implies(not(X_11291),X_11291)))) ),
inference(subst,[],[refute_0_16:[bind(X_37,$fot(X_11291)),bind(X_38,$fot(not(implies(not(X_11291),X_11291)))),bind(X_39,$fot(not(implies(not(X_11291),X_11291)))),bind(X_40,$fot(not(implies(not(X_11291),X_11291))))]]) ).
cnf(refute_0_198,plain,
( ~ is_a_theorem(implies(implies(not(not(implies(not(implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))),implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))))),X_5954),implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))))
| is_a_theorem(implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))) ),
inference(subst,[],[refute_0_185:[bind(X_5953,$fot(implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))))]]) ).
cnf(refute_0_199,plain,
( ~ is_a_theorem(implies(implies(implies(X_10438,X_10438),implies(X_10436,not(implies(not(X_10436),X_10436)))),implies(not(not(implies(not(X_10436),X_10436))),not(implies(not(X_10436),X_10436)))))
| is_a_theorem(implies(X_1832,implies(implies(implies(X_10438,X_10438),implies(X_10436,not(implies(not(X_10436),X_10436)))),not(implies(not(X_10436),X_10436))))) ),
inference(subst,[],[refute_0_131:[bind(X_1830,$fot(implies(implies(X_10438,X_10438),implies(X_10436,not(implies(not(X_10436),X_10436)))))),bind(X_1831,$fot(not(implies(not(X_10436),X_10436))))]]) ).
cnf(refute_0_200,plain,
( ~ is_a_theorem(implies(implies(X_1040,X_1040),implies(not(not(implies(not(X_7762),X_7762))),X_7762)))
| is_a_theorem(implies(not(not(implies(not(X_7762),X_7762))),X_7762)) ),
inference(subst,[],[refute_0_128:[bind(X_1039,$fot(implies(not(not(implies(not(X_7762),X_7762))),X_7762)))]]) ).
cnf(refute_0_201,plain,
( ~ is_a_theorem(implies(not(not(implies(not(X_7759),X_7759))),implies(not(X_7759),X_7759)))
| is_a_theorem(implies(X_1832,implies(not(not(implies(not(X_7759),X_7759))),X_7759))) ),
inference(subst,[],[refute_0_131:[bind(X_1830,$fot(not(not(implies(not(X_7759),X_7759))))),bind(X_1831,$fot(X_7759))]]) ).
cnf(refute_0_202,plain,
( ~ is_a_theorem(implies(implies(X_1040,X_1040),implies(not(not(implies(X_7758,X_7757))),implies(X_7758,X_7757))))
| is_a_theorem(implies(not(not(implies(X_7758,X_7757))),implies(X_7758,X_7757))) ),
inference(subst,[],[refute_0_128:[bind(X_1039,$fot(implies(not(not(implies(X_7758,X_7757))),implies(X_7758,X_7757))))]]) ).
cnf(refute_0_203,plain,
( ~ is_a_theorem(implies(not(not(implies(X_6674,X_6672))),implies(not(implies(X_6674,X_6672)),implies(X_6674,X_6672))))
| is_a_theorem(implies(X_1832,implies(not(not(implies(X_6674,X_6672))),implies(X_6674,X_6672)))) ),
inference(subst,[],[refute_0_131:[bind(X_1830,$fot(not(not(implies(X_6674,X_6672))))),bind(X_1831,$fot(implies(X_6674,X_6672)))]]) ).
cnf(refute_0_204,plain,
( ~ is_a_theorem(implies(implies(not(not(X_6670)),not(X_6671)),implies(X_6670,implies(X_6671,X_6669))))
| is_a_theorem(implies(not(X_6670),implies(X_6670,implies(X_6671,X_6669)))) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(not(X_6671))),bind(X_31,$fot(not(X_6670))),bind(X_32,$fot(implies(X_6670,implies(X_6671,X_6669))))]]) ).
cnf(refute_0_205,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_6668),implies(not(not(X_6666)),not(X_6666))),implies(not(not(X_6666)),implies(not(not(X_6666)),not(X_6666)))),implies(X_6666,implies(X_6668,X_6665))))
| is_a_theorem(implies(implies(not(not(X_6666)),not(X_6668)),implies(X_6666,implies(X_6668,X_6665)))) ),
inference(subst,[],[refute_0_16:[bind(X_37,$fot(not(not(X_6666)))),bind(X_38,$fot(not(X_6668))),bind(X_39,$fot(implies(not(not(X_6666)),not(X_6666)))),bind(X_40,$fot(implies(X_6666,implies(X_6668,X_6665))))]]) ).
cnf(refute_0_206,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928))),X_2927),implies(X_37,X_2927)),implies(X_2928,implies(X_37,X_2927))))
| is_a_theorem(implies(implies(X_37,implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928)))),implies(X_2928,implies(X_37,X_2927)))) ),
inference(subst,[],[refute_0_16:[bind(X_38,$fot(implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928))))),bind(X_39,$fot(X_2927)),bind(X_40,$fot(implies(X_2928,implies(X_37,X_2927))))]]) ).
cnf(refute_0_207,plain,
( ~ is_a_theorem(implies(X_2088,implies(implies(not(not(X_2088)),implies(not(not(X_2088)),not(X_2088))),X_2087)))
| is_a_theorem(implies(implies(implies(implies(not(not(X_2088)),implies(not(not(X_2088)),not(X_2088))),X_2087),Z),implies(X_2088,Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_2088)),bind(Y,$fot(implies(implies(not(not(X_2088)),implies(not(not(X_2088)),not(X_2088))),X_2087)))]]) ).
cnf(refute_0_208,plain,
( ~ is_a_theorem(implies(implies(not(X_31),X_1921),implies(implies(not(not(X_31)),implies(not(not(X_31)),not(X_31))),X_1921)))
| is_a_theorem(implies(X_31,implies(implies(not(not(X_31)),implies(not(not(X_31)),not(X_31))),X_1921))) ),
inference(subst,[],[refute_0_37:[bind(X_30,$fot(X_1921)),bind(X_32,$fot(implies(implies(not(not(X_31)),implies(not(not(X_31)),not(X_31))),X_1921)))]]) ).
cnf(refute_0_209,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_1920),X_1920),X_1918),implies(implies(not(X_1920),implies(not(X_1920),X_1920)),X_1918)))
| is_a_theorem(implies(implies(X_1920,X_1918),implies(implies(not(X_1920),implies(not(X_1920),X_1920)),X_1918))) ),
inference(subst,[],[refute_0_10:[bind(X_64,$fot(implies(implies(not(X_1920),implies(not(X_1920),X_1920)),X_1918))),bind(X_65,$fot(X_1920)),bind(X_66,$fot(X_1918))]]) ).
cnf(refute_0_210,plain,
is_a_theorem(implies(implies(implies(not(X_1920),X_1920),X_1918),implies(implies(not(X_1920),implies(not(X_1920),X_1920)),X_1918))),
inference(subst,[],[refute_0_83:[bind(X_1887,$fot(X_1918)),bind(X_1888,$fot(not(X_1920))),bind(X_1889,$fot(X_1920))]]) ).
cnf(refute_0_211,plain,
is_a_theorem(implies(implies(X_1920,X_1918),implies(implies(not(X_1920),implies(not(X_1920),X_1920)),X_1918))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_1920),X_1920),X_1918),implies(implies(not(X_1920),implies(not(X_1920),X_1920)),X_1918))) )],[refute_0_210,refute_0_209]) ).
cnf(refute_0_212,plain,
is_a_theorem(implies(implies(not(X_31),X_1921),implies(implies(not(not(X_31)),implies(not(not(X_31)),not(X_31))),X_1921))),
inference(subst,[],[refute_0_211:[bind(X_1918,$fot(X_1921)),bind(X_1920,$fot(not(X_31)))]]) ).
cnf(refute_0_213,plain,
is_a_theorem(implies(X_31,implies(implies(not(not(X_31)),implies(not(not(X_31)),not(X_31))),X_1921))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_31),X_1921),implies(implies(not(not(X_31)),implies(not(not(X_31)),not(X_31))),X_1921))) )],[refute_0_212,refute_0_208]) ).
cnf(refute_0_214,plain,
is_a_theorem(implies(X_2088,implies(implies(not(not(X_2088)),implies(not(not(X_2088)),not(X_2088))),X_2087))),
inference(subst,[],[refute_0_213:[bind(X_1921,$fot(X_2087)),bind(X_31,$fot(X_2088))]]) ).
cnf(refute_0_215,plain,
is_a_theorem(implies(implies(implies(implies(not(not(X_2088)),implies(not(not(X_2088)),not(X_2088))),X_2087),Z),implies(X_2088,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_2088,implies(implies(not(not(X_2088)),implies(not(not(X_2088)),not(X_2088))),X_2087))) )],[refute_0_214,refute_0_207]) ).
cnf(refute_0_216,plain,
is_a_theorem(implies(implies(implies(implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928))),X_2927),implies(X_37,X_2927)),implies(X_2928,implies(X_37,X_2927)))),
inference(subst,[],[refute_0_215:[bind(Z,$fot(implies(X_37,X_2927))),bind(X_2087,$fot(X_2927)),bind(X_2088,$fot(X_2928))]]) ).
cnf(refute_0_217,plain,
is_a_theorem(implies(implies(X_37,implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928)))),implies(X_2928,implies(X_37,X_2927)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928))),X_2927),implies(X_37,X_2927)),implies(X_2928,implies(X_37,X_2927)))) )],[refute_0_216,refute_0_206]) ).
cnf(refute_0_218,plain,
is_a_theorem(implies(implies(X_5942,implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928)))),implies(X_2928,implies(X_5942,X_2927)))),
inference(subst,[],[refute_0_217:[bind(X_37,$fot(X_5942))]]) ).
cnf(refute_0_219,plain,
( ~ is_a_theorem(implies(implies(X_5942,implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928)))),implies(X_2928,implies(X_5942,X_2927))))
| is_a_theorem(implies(implies(implies(not(X_5942),X_5941),implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928)))),implies(X_2928,implies(X_5942,X_2927)))) ),
inference(subst,[],[refute_0_26:[bind(X_45,$fot(implies(X_2928,implies(X_5942,X_2927)))),bind(X_46,$fot(X_5941)),bind(X_47,$fot(X_5942)),bind(X_48,$fot(implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928)))))]]) ).
cnf(refute_0_220,plain,
is_a_theorem(implies(implies(implies(not(X_5942),X_5941),implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928)))),implies(X_2928,implies(X_5942,X_2927)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5942,implies(not(not(X_2928)),implies(not(not(X_2928)),not(X_2928)))),implies(X_2928,implies(X_5942,X_2927)))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
is_a_theorem(implies(implies(implies(not(X_6668),implies(not(not(X_6666)),not(X_6666))),implies(not(not(X_6666)),implies(not(not(X_6666)),not(X_6666)))),implies(X_6666,implies(X_6668,X_6665)))),
inference(subst,[],[refute_0_220:[bind(X_2927,$fot(X_6665)),bind(X_2928,$fot(X_6666)),bind(X_5941,$fot(implies(not(not(X_6666)),not(X_6666)))),bind(X_5942,$fot(X_6668))]]) ).
cnf(refute_0_222,plain,
is_a_theorem(implies(implies(not(not(X_6666)),not(X_6668)),implies(X_6666,implies(X_6668,X_6665)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_6668),implies(not(not(X_6666)),not(X_6666))),implies(not(not(X_6666)),implies(not(not(X_6666)),not(X_6666)))),implies(X_6666,implies(X_6668,X_6665)))) )],[refute_0_221,refute_0_205]) ).
cnf(refute_0_223,plain,
is_a_theorem(implies(implies(not(not(X_6670)),not(X_6671)),implies(X_6670,implies(X_6671,X_6669)))),
inference(subst,[],[refute_0_222:[bind(X_6665,$fot(X_6669)),bind(X_6666,$fot(X_6670)),bind(X_6668,$fot(X_6671))]]) ).
cnf(refute_0_224,plain,
is_a_theorem(implies(not(X_6670),implies(X_6670,implies(X_6671,X_6669)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(not(X_6670)),not(X_6671)),implies(X_6670,implies(X_6671,X_6669)))) )],[refute_0_223,refute_0_204]) ).
cnf(refute_0_225,plain,
is_a_theorem(implies(not(not(implies(X_6674,X_6672))),implies(not(implies(X_6674,X_6672)),implies(X_6674,X_6672)))),
inference(subst,[],[refute_0_224:[bind(X_6669,$fot(X_6672)),bind(X_6670,$fot(not(implies(X_6674,X_6672)))),bind(X_6671,$fot(X_6674))]]) ).
cnf(refute_0_226,plain,
is_a_theorem(implies(X_1832,implies(not(not(implies(X_6674,X_6672))),implies(X_6674,X_6672)))),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(implies(X_6674,X_6672))),implies(not(implies(X_6674,X_6672)),implies(X_6674,X_6672)))) )],[refute_0_225,refute_0_203]) ).
cnf(refute_0_227,plain,
is_a_theorem(implies(implies(X_1040,X_1040),implies(not(not(implies(X_7758,X_7757))),implies(X_7758,X_7757)))),
inference(subst,[],[refute_0_226:[bind(X_1832,$fot(implies(X_1040,X_1040))),bind(X_6672,$fot(X_7757)),bind(X_6674,$fot(X_7758))]]) ).
cnf(refute_0_228,plain,
is_a_theorem(implies(not(not(implies(X_7758,X_7757))),implies(X_7758,X_7757))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1040,X_1040),implies(not(not(implies(X_7758,X_7757))),implies(X_7758,X_7757)))) )],[refute_0_227,refute_0_202]) ).
cnf(refute_0_229,plain,
is_a_theorem(implies(not(not(implies(not(X_7759),X_7759))),implies(not(X_7759),X_7759))),
inference(subst,[],[refute_0_228:[bind(X_7757,$fot(X_7759)),bind(X_7758,$fot(not(X_7759)))]]) ).
cnf(refute_0_230,plain,
is_a_theorem(implies(X_1832,implies(not(not(implies(not(X_7759),X_7759))),X_7759))),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(implies(not(X_7759),X_7759))),implies(not(X_7759),X_7759))) )],[refute_0_229,refute_0_201]) ).
cnf(refute_0_231,plain,
is_a_theorem(implies(implies(X_1040,X_1040),implies(not(not(implies(not(X_7762),X_7762))),X_7762))),
inference(subst,[],[refute_0_230:[bind(X_1832,$fot(implies(X_1040,X_1040))),bind(X_7759,$fot(X_7762))]]) ).
cnf(refute_0_232,plain,
is_a_theorem(implies(not(not(implies(not(X_7762),X_7762))),X_7762)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_1040,X_1040),implies(not(not(implies(not(X_7762),X_7762))),X_7762))) )],[refute_0_231,refute_0_200]) ).
cnf(refute_0_233,plain,
is_a_theorem(implies(not(not(implies(not(X_10433),X_10433))),X_10433)),
inference(subst,[],[refute_0_232:[bind(X_7762,$fot(X_10433))]]) ).
cnf(refute_0_234,plain,
( ~ is_a_theorem(implies(X_2677,X_2678))
| ~ is_a_theorem(implies(implies(X_2677,X_2678),implies(implies(implies(X_2680,X_2680),implies(X_2678,X_2679)),implies(X_2677,X_2679))))
| is_a_theorem(implies(implies(implies(X_2680,X_2680),implies(X_2678,X_2679)),implies(X_2677,X_2679))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_2677,X_2678))),bind(Y,$fot(implies(implies(implies(X_2680,X_2680),implies(X_2678,X_2679)),implies(X_2677,X_2679))))]]) ).
cnf(refute_0_235,plain,
is_a_theorem(implies(implies(implies(X_1756,X_1757),implies(X_1755,X_1757)),implies(implies(implies(X_922,X_922),implies(X_1756,X_1757)),implies(X_1755,X_1757)))),
inference(subst,[],[refute_0_121:[bind(X_921,$fot(implies(X_1755,X_1757))),bind(X_924,$fot(implies(X_1756,X_1757)))]]) ).
cnf(refute_0_236,plain,
( ~ is_a_theorem(implies(implies(implies(X_1756,X_1757),implies(X_1755,X_1757)),implies(implies(implies(X_922,X_922),implies(X_1756,X_1757)),implies(X_1755,X_1757))))
| is_a_theorem(implies(implies(X_1755,X_1756),implies(implies(implies(X_922,X_922),implies(X_1756,X_1757)),implies(X_1755,X_1757)))) ),
inference(subst,[],[refute_0_16:[bind(X_37,$fot(X_1755)),bind(X_38,$fot(X_1756)),bind(X_39,$fot(X_1757)),bind(X_40,$fot(implies(implies(implies(X_922,X_922),implies(X_1756,X_1757)),implies(X_1755,X_1757))))]]) ).
cnf(refute_0_237,plain,
is_a_theorem(implies(implies(X_1755,X_1756),implies(implies(implies(X_922,X_922),implies(X_1756,X_1757)),implies(X_1755,X_1757)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1756,X_1757),implies(X_1755,X_1757)),implies(implies(implies(X_922,X_922),implies(X_1756,X_1757)),implies(X_1755,X_1757)))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
is_a_theorem(implies(implies(X_2677,X_2678),implies(implies(implies(X_2680,X_2680),implies(X_2678,X_2679)),implies(X_2677,X_2679)))),
inference(subst,[],[refute_0_237:[bind(X_1755,$fot(X_2677)),bind(X_1756,$fot(X_2678)),bind(X_1757,$fot(X_2679)),bind(X_922,$fot(X_2680))]]) ).
cnf(refute_0_239,plain,
( ~ is_a_theorem(implies(X_2677,X_2678))
| is_a_theorem(implies(implies(implies(X_2680,X_2680),implies(X_2678,X_2679)),implies(X_2677,X_2679))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2677,X_2678),implies(implies(implies(X_2680,X_2680),implies(X_2678,X_2679)),implies(X_2677,X_2679)))) )],[refute_0_238,refute_0_234]) ).
cnf(refute_0_240,plain,
( ~ is_a_theorem(implies(not(not(implies(not(X_10433),X_10433))),X_10433))
| is_a_theorem(implies(implies(implies(X_10435,X_10435),implies(X_10433,X_10434)),implies(not(not(implies(not(X_10433),X_10433))),X_10434))) ),
inference(subst,[],[refute_0_239:[bind(X_2677,$fot(not(not(implies(not(X_10433),X_10433))))),bind(X_2678,$fot(X_10433)),bind(X_2679,$fot(X_10434)),bind(X_2680,$fot(X_10435))]]) ).
cnf(refute_0_241,plain,
is_a_theorem(implies(implies(implies(X_10435,X_10435),implies(X_10433,X_10434)),implies(not(not(implies(not(X_10433),X_10433))),X_10434))),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(implies(not(X_10433),X_10433))),X_10433)) )],[refute_0_233,refute_0_240]) ).
cnf(refute_0_242,plain,
is_a_theorem(implies(implies(implies(X_10438,X_10438),implies(X_10436,not(implies(not(X_10436),X_10436)))),implies(not(not(implies(not(X_10436),X_10436))),not(implies(not(X_10436),X_10436))))),
inference(subst,[],[refute_0_241:[bind(X_10433,$fot(X_10436)),bind(X_10434,$fot(not(implies(not(X_10436),X_10436)))),bind(X_10435,$fot(X_10438))]]) ).
cnf(refute_0_243,plain,
is_a_theorem(implies(X_1832,implies(implies(implies(X_10438,X_10438),implies(X_10436,not(implies(not(X_10436),X_10436)))),not(implies(not(X_10436),X_10436))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_10438,X_10438),implies(X_10436,not(implies(not(X_10436),X_10436)))),implies(not(not(implies(not(X_10436),X_10436))),not(implies(not(X_10436),X_10436))))) )],[refute_0_242,refute_0_199]) ).
cnf(refute_0_244,plain,
is_a_theorem(implies(implies(not(not(implies(not(implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))),implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))))),X_5954),implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470))))),
inference(subst,[],[refute_0_243:[bind(X_10436,$fot(X_10470)),bind(X_10438,$fot(X_10471)),bind(X_1832,$fot(implies(not(not(implies(not(implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))),implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))))),X_5954)))]]) ).
cnf(refute_0_245,plain,
is_a_theorem(implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(not(implies(not(implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))),implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470)))))),X_5954),implies(implies(implies(X_10471,X_10471),implies(X_10470,not(implies(not(X_10470),X_10470)))),not(implies(not(X_10470),X_10470))))) )],[refute_0_244,refute_0_198]) ).
cnf(refute_0_246,plain,
is_a_theorem(implies(implies(implies(not(implies(not(X_11291),X_11291)),not(implies(not(X_11291),X_11291))),implies(X_11291,not(implies(not(X_11291),X_11291)))),not(implies(not(X_11291),X_11291)))),
inference(subst,[],[refute_0_245:[bind(X_10470,$fot(X_11291)),bind(X_10471,$fot(not(implies(not(X_11291),X_11291))))]]) ).
cnf(refute_0_247,plain,
is_a_theorem(implies(implies(X_11291,not(implies(not(X_11291),X_11291))),not(implies(not(X_11291),X_11291)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(not(X_11291),X_11291)),not(implies(not(X_11291),X_11291))),implies(X_11291,not(implies(not(X_11291),X_11291)))),not(implies(not(X_11291),X_11291)))) )],[refute_0_246,refute_0_197]) ).
cnf(refute_0_248,plain,
is_a_theorem(implies(implies(not(X_31),not(implies(not(not(X_31)),not(X_31)))),not(implies(not(not(X_31)),not(X_31))))),
inference(subst,[],[refute_0_247:[bind(X_11291,$fot(not(X_31)))]]) ).
cnf(refute_0_249,plain,
is_a_theorem(implies(X_31,not(implies(not(not(X_31)),not(X_31))))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_31),not(implies(not(not(X_31)),not(X_31)))),not(implies(not(not(X_31)),not(X_31))))) )],[refute_0_248,refute_0_196]) ).
cnf(refute_0_250,plain,
is_a_theorem(implies(X_11294,not(implies(not(not(X_11294)),not(X_11294))))),
inference(subst,[],[refute_0_249:[bind(X_31,$fot(X_11294))]]) ).
cnf(refute_0_251,plain,
is_a_theorem(implies(implies(not(not(X_11294)),not(X_11294)),implies(X_11294,X_1776))),
inference(resolve,[$cnf( is_a_theorem(implies(X_11294,not(implies(not(not(X_11294)),not(X_11294))))) )],[refute_0_250,refute_0_195]) ).
cnf(refute_0_252,plain,
is_a_theorem(implies(implies(not(not(X_11298)),not(X_11298)),implies(X_11298,X_11299))),
inference(subst,[],[refute_0_251:[bind(X_11294,$fot(X_11298)),bind(X_1776,$fot(X_11299))]]) ).
cnf(refute_0_253,plain,
is_a_theorem(implies(not(X_11298),implies(X_11298,X_11299))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(not(X_11298)),not(X_11298)),implies(X_11298,X_11299))) )],[refute_0_252,refute_0_188]) ).
cnf(refute_0_254,plain,
is_a_theorem(implies(not(not(X_11301)),implies(not(X_11301),X_11301))),
inference(subst,[],[refute_0_253:[bind(X_11298,$fot(not(X_11301))),bind(X_11299,$fot(X_11301))]]) ).
cnf(refute_0_255,plain,
is_a_theorem(implies(X_1832,implies(not(not(X_11301)),X_11301))),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(X_11301)),implies(not(X_11301),X_11301))) )],[refute_0_254,refute_0_187]) ).
cnf(refute_0_256,plain,
is_a_theorem(implies(implies(not(not(implies(not(implies(not(not(X_11304)),X_11304)),implies(not(not(X_11304)),X_11304)))),X_5954),implies(not(not(X_11304)),X_11304))),
inference(subst,[],[refute_0_255:[bind(X_11301,$fot(X_11304)),bind(X_1832,$fot(implies(not(not(implies(not(implies(not(not(X_11304)),X_11304)),implies(not(not(X_11304)),X_11304)))),X_5954)))]]) ).
cnf(refute_0_257,plain,
is_a_theorem(implies(not(not(X_11304)),X_11304)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(not(implies(not(implies(not(not(X_11304)),X_11304)),implies(not(not(X_11304)),X_11304)))),X_5954),implies(not(not(X_11304)),X_11304))) )],[refute_0_256,refute_0_186]) ).
cnf(refute_0_258,plain,
is_a_theorem(implies(not(not(X_11306)),X_11306)),
inference(subst,[],[refute_0_257:[bind(X_11304,$fot(X_11306))]]) ).
cnf(refute_0_259,plain,
is_a_theorem(implies(implies(X_11306,Z),implies(not(not(X_11306)),Z))),
inference(resolve,[$cnf( is_a_theorem(implies(not(not(X_11306)),X_11306)) )],[refute_0_258,refute_0_115]) ).
cnf(refute_0_260,plain,
is_a_theorem(implies(implies(X_11306,not(X_11306)),implies(not(not(X_11306)),not(X_11306)))),
inference(subst,[],[refute_0_259:[bind(Z,$fot(not(X_11306)))]]) ).
cnf(refute_0_261,plain,
( ~ is_a_theorem(implies(implies(X_11306,not(X_11306)),implies(not(not(X_11306)),not(X_11306))))
| is_a_theorem(implies(implies(X_11306,not(X_11306)),not(X_11306))) ),
inference(subst,[],[refute_0_89:[bind(X_2097,$fot(implies(X_11306,not(X_11306)))),bind(X_2098,$fot(not(X_11306)))]]) ).
cnf(refute_0_262,plain,
is_a_theorem(implies(implies(X_11306,not(X_11306)),not(X_11306))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_11306,not(X_11306)),implies(not(not(X_11306)),not(X_11306)))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
is_a_theorem(implies(implies(X_14804,not(X_14804)),not(X_14804))),
inference(subst,[],[refute_0_262:[bind(X_11306,$fot(X_14804))]]) ).
cnf(refute_0_264,plain,
is_a_theorem(implies(implies(implies(not(X_14804),X_46),not(X_14804)),not(X_14804))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_14804,not(X_14804)),not(X_14804))) )],[refute_0_263,refute_0_114]) ).
cnf(refute_0_265,plain,
is_a_theorem(implies(implies(implies(not(X_14828),X_14829),not(X_14828)),not(X_14828))),
inference(subst,[],[refute_0_264:[bind(X_14804,$fot(X_14828)),bind(X_46,$fot(X_14829))]]) ).
cnf(refute_0_266,plain,
is_a_theorem(implies(implies(not(implies(implies(not(X_14828),X_14829),not(X_14828))),implies(implies(not(X_14828),X_14829),not(X_14828))),not(X_14828))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_14828),X_14829),not(X_14828)),not(X_14828))) )],[refute_0_265,refute_0_113]) ).
cnf(refute_0_267,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_5974),X_5973),X_5975),implies(not(implies(X_5974,X_5975)),X_5972)))
| ~ is_a_theorem(implies(implies(not(X_5974),X_5973),X_5975))
| is_a_theorem(implies(not(implies(X_5974,X_5975)),X_5972)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(X_5974),X_5973),X_5975))),bind(Y,$fot(implies(not(implies(X_5974,X_5975)),X_5972)))]]) ).
cnf(refute_0_268,plain,
is_a_theorem(implies(implies(X_5942,X_5943),implies(not(implies(X_5942,X_5943)),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(implies(X_5942,X_5943)))]]) ).
cnf(refute_0_269,plain,
( ~ is_a_theorem(implies(implies(X_5942,X_5943),implies(not(implies(X_5942,X_5943)),Y)))
| is_a_theorem(implies(implies(implies(not(X_5942),X_5941),X_5943),implies(not(implies(X_5942,X_5943)),Y))) ),
inference(subst,[],[refute_0_26:[bind(X_45,$fot(implies(not(implies(X_5942,X_5943)),Y))),bind(X_46,$fot(X_5941)),bind(X_47,$fot(X_5942)),bind(X_48,$fot(X_5943))]]) ).
cnf(refute_0_270,plain,
is_a_theorem(implies(implies(implies(not(X_5942),X_5941),X_5943),implies(not(implies(X_5942,X_5943)),Y))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_5942,X_5943),implies(not(implies(X_5942,X_5943)),Y))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
is_a_theorem(implies(implies(implies(not(X_5974),X_5973),X_5975),implies(not(implies(X_5974,X_5975)),X_5972))),
inference(subst,[],[refute_0_270:[bind(Y,$fot(X_5972)),bind(X_5941,$fot(X_5973)),bind(X_5942,$fot(X_5974)),bind(X_5943,$fot(X_5975))]]) ).
cnf(refute_0_272,plain,
( ~ is_a_theorem(implies(implies(not(X_5974),X_5973),X_5975))
| is_a_theorem(implies(not(implies(X_5974,X_5975)),X_5972)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_5974),X_5973),X_5975),implies(not(implies(X_5974,X_5975)),X_5972))) )],[refute_0_271,refute_0_267]) ).
cnf(refute_0_273,plain,
( ~ is_a_theorem(implies(implies(not(implies(implies(not(X_14828),X_14829),not(X_14828))),implies(implies(not(X_14828),X_14829),not(X_14828))),not(X_14828)))
| is_a_theorem(implies(not(implies(implies(implies(not(X_14828),X_14829),not(X_14828)),not(X_14828))),X_16125)) ),
inference(subst,[],[refute_0_272:[bind(X_5972,$fot(X_16125)),bind(X_5973,$fot(implies(implies(not(X_14828),X_14829),not(X_14828)))),bind(X_5974,$fot(implies(implies(not(X_14828),X_14829),not(X_14828)))),bind(X_5975,$fot(not(X_14828)))]]) ).
cnf(refute_0_274,plain,
is_a_theorem(implies(not(implies(implies(implies(not(X_14828),X_14829),not(X_14828)),not(X_14828))),X_16125)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(implies(implies(not(X_14828),X_14829),not(X_14828))),implies(implies(not(X_14828),X_14829),not(X_14828))),not(X_14828))) )],[refute_0_266,refute_0_273]) ).
cnf(refute_0_275,plain,
is_a_theorem(implies(not(implies(implies(implies(not(X_16398),X_16399),not(X_16398)),not(X_16398))),X_16400)),
inference(subst,[],[refute_0_274:[bind(X_14828,$fot(X_16398)),bind(X_14829,$fot(X_16399)),bind(X_16125,$fot(X_16400))]]) ).
cnf(refute_0_276,plain,
is_a_theorem(implies(X_4481,implies(not(implies(implies(implies(not(X_16398),X_16399),not(X_16398)),not(X_16398))),X_16400))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(implies(not(X_16398),X_16399),not(X_16398)),not(X_16398))),X_16400)) )],[refute_0_275,refute_0_110]) ).
cnf(refute_0_277,plain,
is_a_theorem(implies(X_16526,implies(not(implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523))),implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523))))),
inference(subst,[],[refute_0_276:[bind(X_16398,$fot(X_16523)),bind(X_16399,$fot(X_16524)),bind(X_16400,$fot(implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523)))),bind(X_4481,$fot(X_16526))]]) ).
cnf(refute_0_278,plain,
is_a_theorem(implies(X_16526,implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523)))),
inference(resolve,[$cnf( is_a_theorem(implies(X_16526,implies(not(implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523))),implies(implies(implies(not(X_16523),X_16524),not(X_16523)),not(X_16523))))) )],[refute_0_277,refute_0_109]) ).
cnf(refute_0_279,plain,
is_a_theorem(implies(X_16967,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)))),
inference(subst,[],[refute_0_278:[bind(X_16523,$fot(X_16965)),bind(X_16524,$fot(X_16966)),bind(X_16526,$fot(X_16967))]]) ).
cnf(refute_0_280,plain,
is_a_theorem(implies(X_4481,implies(X_16967,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965))))),
inference(resolve,[$cnf( is_a_theorem(implies(X_16967,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)))) )],[refute_0_279,refute_0_108]) ).
cnf(refute_0_281,plain,
is_a_theorem(implies(not(implies(X_36936,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)))),implies(X_36936,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965))))),
inference(subst,[],[refute_0_280:[bind(X_16967,$fot(X_36936)),bind(X_4481,$fot(not(implies(X_36936,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965))))))]]) ).
cnf(refute_0_282,plain,
( ~ is_a_theorem(implies(implies(not(implies(X_313,X_314)),implies(X_313,X_314)),implies(implies(X_314,X_315),implies(X_313,X_315))))
| ~ is_a_theorem(implies(not(implies(X_313,X_314)),implies(X_313,X_314)))
| is_a_theorem(implies(implies(X_314,X_315),implies(X_313,X_315))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(not(implies(X_313,X_314)),implies(X_313,X_314)))),bind(Y,$fot(implies(implies(X_314,X_315),implies(X_313,X_315))))]]) ).
cnf(refute_0_283,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(not(implies(X,Y)),implies(X,Y)),implies(implies(Y,Z),implies(X,Z)))) ),
inference(subst,[],[refute_0_112:[bind(X_28,$fot(implies(X,Y))),bind(X_29,$fot(implies(implies(Y,Z),implies(X,Z))))]]) ).
cnf(refute_0_284,plain,
is_a_theorem(implies(implies(not(implies(X,Y)),implies(X,Y)),implies(implies(Y,Z),implies(X,Z)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_283]) ).
cnf(refute_0_285,plain,
is_a_theorem(implies(implies(not(implies(X_313,X_314)),implies(X_313,X_314)),implies(implies(X_314,X_315),implies(X_313,X_315)))),
inference(subst,[],[refute_0_284:[bind(X,$fot(X_313)),bind(Y,$fot(X_314)),bind(Z,$fot(X_315))]]) ).
cnf(refute_0_286,plain,
( ~ is_a_theorem(implies(not(implies(X_313,X_314)),implies(X_313,X_314)))
| is_a_theorem(implies(implies(X_314,X_315),implies(X_313,X_315))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(implies(X_313,X_314)),implies(X_313,X_314)),implies(implies(X_314,X_315),implies(X_313,X_315)))) )],[refute_0_285,refute_0_282]) ).
cnf(refute_0_287,plain,
( ~ is_a_theorem(implies(not(implies(X_36936,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)))),implies(X_36936,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)))))
| is_a_theorem(implies(implies(implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)),X_36938),implies(X_36936,X_36938))) ),
inference(subst,[],[refute_0_286:[bind(X_313,$fot(X_36936)),bind(X_314,$fot(implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)))),bind(X_315,$fot(X_36938))]]) ).
cnf(refute_0_288,plain,
is_a_theorem(implies(implies(implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)),X_36938),implies(X_36936,X_36938))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(X_36936,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965)))),implies(X_36936,implies(implies(implies(not(X_16965),X_16966),not(X_16965)),not(X_16965))))) )],[refute_0_281,refute_0_287]) ).
cnf(refute_0_289,plain,
is_a_theorem(implies(implies(implies(implies(implies(not(X_37325),X_37326),not(X_37325)),not(X_37325)),X_37328),implies(not(X_37328),X_37328))),
inference(subst,[],[refute_0_288:[bind(X_16965,$fot(X_37325)),bind(X_16966,$fot(X_37326)),bind(X_36936,$fot(not(X_37328))),bind(X_36938,$fot(X_37328))]]) ).
cnf(refute_0_290,plain,
is_a_theorem(implies(implies(implies(implies(implies(not(X_37325),X_37326),not(X_37325)),not(X_37325)),X_37328),X_37328)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(not(X_37325),X_37326),not(X_37325)),not(X_37325)),X_37328),implies(not(X_37328),X_37328))) )],[refute_0_289,refute_0_90]) ).
cnf(refute_0_291,plain,
is_a_theorem(implies(implies(implies(implies(implies(not(X_53261),X_53262),not(X_53261)),not(X_53261)),implies(X_37,not(X_53261))),implies(X_37,not(X_53261)))),
inference(subst,[],[refute_0_290:[bind(X_37325,$fot(X_53261)),bind(X_37326,$fot(X_53262)),bind(X_37328,$fot(implies(X_37,not(X_53261))))]]) ).
cnf(refute_0_292,plain,
is_a_theorem(implies(implies(X_37,implies(implies(not(X_53261),X_53262),not(X_53261))),implies(X_37,not(X_53261)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(not(X_53261),X_53262),not(X_53261)),not(X_53261)),implies(X_37,not(X_53261))),implies(X_37,not(X_53261)))) )],[refute_0_291,refute_0_28]) ).
cnf(refute_0_293,plain,
is_a_theorem(implies(implies(X_71502,implies(implies(not(X_71503),X_71504),not(X_71503))),implies(X_71502,not(X_71503)))),
inference(subst,[],[refute_0_292:[bind(X_37,$fot(X_71502)),bind(X_53261,$fot(X_71503)),bind(X_53262,$fot(X_71504))]]) ).
cnf(refute_0_294,plain,
is_a_theorem(implies(implies(implies(not(X_71502),X_46),implies(implies(not(X_71503),X_71504),not(X_71503))),implies(X_71502,not(X_71503)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_71502,implies(implies(not(X_71503),X_71504),not(X_71503))),implies(X_71502,not(X_71503)))) )],[refute_0_293,refute_0_27]) ).
cnf(refute_0_295,plain,
is_a_theorem(implies(implies(implies(not(X_71525),not(X_71526)),implies(implies(not(X_71526),X_71527),not(X_71526))),implies(X_71525,not(X_71526)))),
inference(subst,[],[refute_0_294:[bind(X_46,$fot(not(X_71526))),bind(X_71502,$fot(X_71525)),bind(X_71503,$fot(X_71526)),bind(X_71504,$fot(X_71527))]]) ).
cnf(refute_0_296,plain,
is_a_theorem(implies(implies(implies(not(X_71526),X_71527),not(X_71525)),implies(X_71525,not(X_71526)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_71525),not(X_71526)),implies(implies(not(X_71526),X_71527),not(X_71526))),implies(X_71525,not(X_71526)))) )],[refute_0_295,refute_0_17]) ).
cnf(refute_0_297,plain,
is_a_theorem(implies(implies(implies(not(X_71530),X_71530),not(X_71528)),implies(X_71528,not(X_71530)))),
inference(subst,[],[refute_0_296:[bind(X_71525,$fot(X_71528)),bind(X_71526,$fot(X_71530)),bind(X_71527,$fot(X_71530))]]) ).
cnf(refute_0_298,plain,
is_a_theorem(implies(implies(X_71530,not(X_71528)),implies(X_71528,not(X_71530)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_71530),X_71530),not(X_71528)),implies(X_71528,not(X_71530)))) )],[refute_0_297,refute_0_11]) ).
cnf(refute_0_299,plain,
is_a_theorem(implies(implies(x,not(y)),implies(y,not(x)))),
inference(subst,[],[refute_0_298:[bind(X_71528,$fot(y)),bind(X_71530,$fot(x))]]) ).
cnf(refute_0_300,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(implies(x,not(y)),implies(y,not(x)))) )],[refute_0_299,prove_cn_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : LCL385-1 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.09 % Command : metis --show proof --show saturation %s
% 0.09/0.29 % Computer : n013.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sun Jul 3 23:57:14 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 142.76/143.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 142.76/143.01
% 142.76/143.01 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 142.76/143.06
%------------------------------------------------------------------------------