TSTP Solution File: LCL107-1 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL107-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.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 12:49:31 EDT 2022

% Result   : Unsatisfiable 6.88s 7.15s
% Output   : CNFRefutation 6.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  133 (  78 unt;   0 nHn;  52 RR)
%            Number of literals    :  200 (   0 equ;  68 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :  749 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ) ).

cnf(lg_27_1690,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(Z,equivalent(equivalent(Y,X),V6)))) ).

cnf(prove_p_1,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ).

cnf(refute_0_0,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_6,X_7),X_8),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_6,X_7),X_8),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))),equivalent(X_8,equivalent(equivalent(X_7,X_6),X_4))))
    | is_a_theorem(equivalent(X_8,equivalent(equivalent(X_7,X_6),X_4))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_6,X_7),X_8),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))))),bind(Y,$fot(equivalent(X_8,equivalent(equivalent(X_7,X_6),X_4))))]]) ).

cnf(refute_0_1,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_6,X_7),X_8),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))),equivalent(X_8,equivalent(equivalent(X_7,X_6),X_4)))),
    inference(subst,[],[lg_27_1690:[bind(U,$fot(X_2)),bind(V,$fot(X_3)),bind(V6,$fot(X_4)),bind(W,$fot(X_5)),bind(X,$fot(X_6)),bind(Y,$fot(X_7)),bind(Z,$fot(X_8))]]) ).

cnf(refute_0_2,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_6,X_7),X_8),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))))
    | is_a_theorem(equivalent(X_8,equivalent(equivalent(X_7,X_6),X_4))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_6,X_7),X_8),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))),equivalent(X_8,equivalent(equivalent(X_7,X_6),X_4)))) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_6,X_7),equivalent(equivalent(X_5,X_6),X_7176)),equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),equivalent(equivalent(X_5,X_7),X_7176)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_5,X_6),X_7176),equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),X_7176)))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_6)),bind(X_3,$fot(X_7)),bind(X_4,$fot(equivalent(equivalent(X_5,X_7),X_7176))),bind(X_8,$fot(equivalent(equivalent(X_5,X_6),X_7176)))]]) ).

cnf(refute_0_4,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_919,X_919),X_920))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_919,X_919),X_920),X_920))
    | is_a_theorem(X_920) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_919,X_919),X_920))),bind(Y,$fot(X_920))]]) ).

cnf(refute_0_5,plain,
    ( ~ is_a_theorem(equivalent(X_786,equivalent(equivalent(X_786,equivalent(X_785,X_785)),X_787)))
    | ~ is_a_theorem(equivalent(equivalent(X_786,equivalent(equivalent(X_786,equivalent(X_785,X_785)),X_787)),X_787))
    | is_a_theorem(X_787) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_786,equivalent(equivalent(X_786,equivalent(X_785,X_785)),X_787)))),bind(Y,$fot(X_787))]]) ).

cnf(refute_0_6,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_196,X_197),equivalent(equivalent(equivalent(X_199,X_197),equivalent(X_199,X_196)),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4))),equivalent(equivalent(equivalent(X_195,equivalent(X_194,X_192)),equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_199,X_197),equivalent(X_199,X_196)),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4)),equivalent(equivalent(X_197,X_196),X_4))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(equivalent(X_195,equivalent(X_194,X_192)))),bind(X_3,$fot(equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192)))))),bind(X_6,$fot(X_196)),bind(X_7,$fot(X_197)),bind(X_8,$fot(equivalent(equivalent(equivalent(X_199,X_197),equivalent(X_199,X_196)),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4))))]]) ).

cnf(refute_0_7,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4)),equivalent(equivalent(equivalent(X_117,equivalent(X_115,X_113)),equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113))))),X_4))) ),
    inference(subst,[],[refute_0_2:[bind(X_6,$fot(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))))),bind(X_7,$fot(equivalent(X_117,equivalent(X_115,X_113)))),bind(X_8,$fot(equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))))]]) ).

cnf(refute_0_8,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_16,X_17),equivalent(equivalent(equivalent(X_18,X_17),equivalent(X_18,X_16)),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4))),equivalent(equivalent(equivalent(X_22,X_19),equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_17),equivalent(X_18,X_16)),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4)),equivalent(equivalent(X_17,X_16),X_4))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(equivalent(X_22,X_19))),bind(X_3,$fot(equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19)))),bind(X_6,$fot(X_16)),bind(X_7,$fot(X_17)),bind(X_8,$fot(equivalent(equivalent(equivalent(X_18,X_17),equivalent(X_18,X_16)),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4))))]]) ).

cnf(refute_0_9,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_12,X_9),equivalent(X_12,X_10)),equivalent(X_9,X_10)),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),X_11))),equivalent(equivalent(X_9,X_10),equivalent(equivalent(equivalent(X_12,X_10),equivalent(X_12,X_9)),X_11)))),
    inference(subst,[],[lg_27_1690:[bind(V6,$fot(X_11)),bind(X,$fot(equivalent(X_12,X_9))),bind(Y,$fot(equivalent(X_12,X_10))),bind(Z,$fot(equivalent(X_9,X_10)))]]) ).

cnf(refute_0_10,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_12,X_9),equivalent(X_12,X_10)),equivalent(X_9,X_10)),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),X_11))),equivalent(equivalent(X_9,X_10),equivalent(equivalent(equivalent(X_12,X_10),equivalent(X_12,X_9)),X_11))))
    | is_a_theorem(equivalent(equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),X_11)),equivalent(equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_12,X_9),equivalent(X_12,X_10))),X_11))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_9)),bind(X_3,$fot(X_10)),bind(X_4,$fot(X_11)),bind(X_5,$fot(X_12)),bind(X_6,$fot(equivalent(equivalent(X_12,X_9),equivalent(X_12,X_10)))),bind(X_7,$fot(equivalent(X_9,X_10))),bind(X_8,$fot(equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),X_11))))]]) ).

cnf(refute_0_11,plain,
    is_a_theorem(equivalent(equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),X_11)),equivalent(equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_12,X_9),equivalent(X_12,X_10))),X_11))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_12,X_9),equivalent(X_12,X_10)),equivalent(X_9,X_10)),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),X_11))),equivalent(equivalent(X_9,X_10),equivalent(equivalent(equivalent(X_12,X_10),equivalent(X_12,X_9)),X_11)))) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_16,X_17),equivalent(equivalent(equivalent(X_18,X_17),equivalent(X_18,X_16)),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4))),equivalent(equivalent(equivalent(X_22,X_19),equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4)))),
    inference(subst,[],[refute_0_11:[bind(U,$fot(X_16)),bind(V,$fot(X_17)),bind(W,$fot(X_18)),bind(X_10,$fot(X_19)),bind(X_11,$fot(equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4))),bind(X_12,$fot(X_21)),bind(X_9,$fot(X_22))]]) ).

cnf(refute_0_13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_17),equivalent(X_18,X_16)),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4)),equivalent(equivalent(X_17,X_16),X_4))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_16,X_17),equivalent(equivalent(equivalent(X_18,X_17),equivalent(X_18,X_16)),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4))),equivalent(equivalent(equivalent(X_22,X_19),equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(equivalent(equivalent(X_5,equivalent(equivalent(X_21,X_22),equivalent(X_21,X_19))),equivalent(X_5,equivalent(X_22,X_19))),X_4)))) )],[refute_0_12,refute_0_8]) ).

cnf(refute_0_14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71)))),equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(X_73,X_71)))),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71)))),X_74)),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),X_74))),
    inference(subst,[],[refute_0_13:[bind(X_16,$fot(equivalent(X_75,equivalent(X_73,X_71)))),bind(X_17,$fot(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))))),bind(X_18,$fot(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))))),bind(X_19,$fot(equivalent(X_72,X_71))),bind(X_22,$fot(equivalent(X_72,X_73))),bind(X_4,$fot(X_74)),bind(X_5,$fot(X_75))]]) ).

cnf(refute_0_15,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),X_29)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),X_29)),equivalent(equivalent(X_24,X_23),X_29)))
    | is_a_theorem(equivalent(equivalent(X_24,X_23),X_29)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),X_29)))),bind(Y,$fot(equivalent(equivalent(X_24,X_23),X_29)))]]) ).

cnf(refute_0_16,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),X_29)),equivalent(equivalent(X_24,X_23),X_29))),
    inference(subst,[],[refute_0_13:[bind(X_16,$fot(X_23)),bind(X_17,$fot(X_24)),bind(X_18,$fot(X_25)),bind(X_19,$fot(X_26)),bind(X_21,$fot(X_27)),bind(X_22,$fot(X_28)),bind(X_4,$fot(X_29)),bind(X_5,$fot(X_30))]]) ).

cnf(refute_0_17,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),X_29)))
    | is_a_theorem(equivalent(equivalent(X_24,X_23),X_29)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),X_29)),equivalent(equivalent(X_24,X_23),X_29))) )],[refute_0_16,refute_0_15]) ).

cnf(refute_0_18,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71)))),equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(X_73,X_71)))),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71)))),X_74)),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),X_74)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(X_73,X_71))),X_74),X_74)) ),
    inference(subst,[],[refute_0_17:[bind(X_23,$fot(X_74)),bind(X_24,$fot(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(X_73,X_71))))),bind(X_25,$fot(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71)))))),bind(X_26,$fot(X_71)),bind(X_27,$fot(X_72)),bind(X_28,$fot(X_73)),bind(X_29,$fot(X_74)),bind(X_30,$fot(X_75))]]) ).

cnf(refute_0_19,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(X_73,X_71))),X_74),X_74)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71)))),equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(X_73,X_71)))),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_21,equivalent(X_72,X_73)),equivalent(X_21,equivalent(X_72,X_71)))),equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71)))),X_74)),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),X_74))) )],[refute_0_14,refute_0_18]) ).

cnf(refute_0_20,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4)))),
    inference(subst,[],[refute_0_19:[bind(X_21,$fot(X_112)),bind(X_71,$fot(X_113)),bind(X_72,$fot(X_114)),bind(X_73,$fot(X_115)),bind(X_74,$fot(equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4)))),bind(X_75,$fot(X_117))]]) ).

cnf(refute_0_21,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4)),equivalent(equivalent(equivalent(X_117,equivalent(X_115,X_113)),equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113))))),X_4))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4))),equivalent(equivalent(X_2,X_3),equivalent(equivalent(equivalent(X_5,X_3),equivalent(X_5,X_2)),X_4)))) )],[refute_0_20,refute_0_7]) ).

cnf(refute_0_22,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_196,X_197),equivalent(equivalent(equivalent(X_199,X_197),equivalent(X_199,X_196)),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4))),equivalent(equivalent(equivalent(X_195,equivalent(X_194,X_192)),equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4)))),
    inference(subst,[],[refute_0_21:[bind(X_112,$fot(X_191)),bind(X_113,$fot(X_192)),bind(X_114,$fot(X_193)),bind(X_115,$fot(X_194)),bind(X_117,$fot(X_195)),bind(X_2,$fot(X_196)),bind(X_3,$fot(X_197)),bind(X_4,$fot(equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4))),bind(X_5,$fot(X_199))]]) ).

cnf(refute_0_23,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_199,X_197),equivalent(X_199,X_196)),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4)),equivalent(equivalent(X_197,X_196),X_4))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_196,X_197),equivalent(equivalent(equivalent(X_199,X_197),equivalent(X_199,X_196)),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4))),equivalent(equivalent(equivalent(X_195,equivalent(X_194,X_192)),equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(equivalent(equivalent(X_5,equivalent(X_195,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_5,equivalent(X_195,equivalent(X_194,X_192)))),X_4)))) )],[refute_0_22,refute_0_6]) ).

cnf(refute_0_24,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192)))),equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,X_290)))),equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192)))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290))),equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192))),equivalent(X_289,equivalent(X_291,X_290))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290)))),
    inference(subst,[],[refute_0_23:[bind(X_195,$fot(X_291)),bind(X_196,$fot(equivalent(X_289,equivalent(X_291,X_290)))),bind(X_197,$fot(equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192))))),bind(X_199,$fot(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))))),bind(X_4,$fot(equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290))),bind(X_5,$fot(X_289))]]) ).

cnf(refute_0_25,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),X_116))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),X_116),X_116))
    | is_a_theorem(X_116) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),X_116))),bind(Y,$fot(X_116))]]) ).

cnf(refute_0_26,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),X_116),X_116)),
    inference(subst,[],[refute_0_19:[bind(X_21,$fot(X_112)),bind(X_71,$fot(X_113)),bind(X_72,$fot(X_114)),bind(X_73,$fot(X_115)),bind(X_74,$fot(X_116)),bind(X_75,$fot(X_117))]]) ).

cnf(refute_0_27,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),X_116))
    | is_a_theorem(X_116) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_117,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_117,equivalent(X_115,X_113))),X_116),X_116)) )],[refute_0_26,refute_0_25]) ).

cnf(refute_0_28,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192)))),equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,X_290)))),equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192)))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290))),equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192))),equivalent(X_289,equivalent(X_291,X_290))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192))),equivalent(X_289,equivalent(X_291,X_290))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290))) ),
    inference(subst,[],[refute_0_27:[bind(X_112,$fot(X_289)),bind(X_113,$fot(X_290)),bind(X_114,$fot(X_291)),bind(X_115,$fot(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),bind(X_116,$fot(equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192))),equivalent(X_289,equivalent(X_291,X_290))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290)))),bind(X_117,$fot(equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192))))))]]) ).

cnf(refute_0_29,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192))),equivalent(X_289,equivalent(X_291,X_290))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192)))),equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,X_290)))),equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))))),equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192)))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290))),equivalent(equivalent(equivalent(X_289,equivalent(X_291,equivalent(X_194,X_192))),equivalent(X_289,equivalent(X_291,X_290))),equivalent(equivalent(equivalent(X_191,equivalent(X_193,X_194)),equivalent(X_191,equivalent(X_193,X_192))),X_290)))) )],[refute_0_24,refute_0_28]) ).

cnf(refute_0_30,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(X_194,X_192))),equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782)))),equivalent(equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(X_194,X_192))),equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782)))),
    inference(subst,[],[refute_0_29:[bind(X_191,$fot(X_291)),bind(X_193,$fot(X_194)),bind(X_289,$fot(equivalent(X_291,equivalent(X_194,X_194)))),bind(X_290,$fot(equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782)))]]) ).

cnf(refute_0_31,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_768,equivalent(X_770,X_771)),equivalent(X_768,equivalent(X_770,X_769))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_768,equivalent(X_770,X_771)),equivalent(X_768,equivalent(X_770,X_769))),equivalent(X_771,X_769)))
    | is_a_theorem(equivalent(X_771,X_769)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_768,equivalent(X_770,X_771)),equivalent(X_768,equivalent(X_770,X_769))))),bind(Y,$fot(equivalent(X_771,X_769)))]]) ).

cnf(refute_0_32,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_766,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_766,equivalent(X_115,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113))),equivalent(X_115,X_113))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113))),equivalent(X_115,X_113))) ),
    inference(subst,[],[refute_0_27:[bind(X_116,$fot(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113))),equivalent(X_115,X_113)))),bind(X_117,$fot(X_766))]]) ).

cnf(refute_0_33,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_762,equivalent(equivalent(X_763,equivalent(X_761,equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)))),equivalent(X_763,equivalent(X_761,equivalent(X_760,X_758))))),equivalent(X_762,equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758)))),equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758))) ),
    inference(subst,[],[refute_0_27:[bind(X_112,$fot(X_763)),bind(X_113,$fot(equivalent(X_760,X_758))),bind(X_114,$fot(X_761)),bind(X_115,$fot(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)))),bind(X_116,$fot(equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758)))),bind(X_117,$fot(X_762))]]) ).

cnf(refute_0_34,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_47,X_40),equivalent(X_47,X_41)),equivalent(equivalent(equivalent(X_49,equivalent(X_42,X_41)),equivalent(X_49,equivalent(X_42,X_40))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4))),equivalent(equivalent(equivalent(X_46,equivalent(X_45,X_43)),equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_49,equivalent(X_42,X_41)),equivalent(X_49,equivalent(X_42,X_40))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4)),equivalent(equivalent(equivalent(X_47,X_41),equivalent(X_47,X_40)),X_4))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(equivalent(X_46,equivalent(X_45,X_43)))),bind(X_3,$fot(equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43))))),bind(X_6,$fot(equivalent(X_47,X_40))),bind(X_7,$fot(equivalent(X_47,X_41))),bind(X_8,$fot(equivalent(equivalent(equivalent(X_49,equivalent(X_42,X_41)),equivalent(X_49,equivalent(X_42,X_40))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4))))]]) ).

cnf(refute_0_35,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4))),equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4)),equivalent(equivalent(equivalent(X_37,equivalent(X_36,X_34)),equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)))),X_4))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(equivalent(X_33,X_31))),bind(X_3,$fot(equivalent(X_33,X_32))),bind(X_6,$fot(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))))),bind(X_7,$fot(equivalent(X_37,equivalent(X_36,X_34)))),bind(X_8,$fot(equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4))))]]) ).

cnf(refute_0_36,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4))),equivalent(equivalent(X_24,X_23),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4)),equivalent(equivalent(equivalent(X_25,X_23),equivalent(X_25,X_24)),X_4))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_24)),bind(X_3,$fot(X_23)),bind(X_6,$fot(equivalent(X_25,X_24))),bind(X_7,$fot(equivalent(X_25,X_23))),bind(X_8,$fot(equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4))))]]) ).

cnf(refute_0_37,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4))),equivalent(equivalent(X_24,X_23),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4)))),
    inference(subst,[],[refute_0_13:[bind(X_16,$fot(X_23)),bind(X_17,$fot(X_24)),bind(X_18,$fot(X_25)),bind(X_19,$fot(X_26)),bind(X_21,$fot(X_27)),bind(X_22,$fot(X_28)),bind(X_4,$fot(equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4))),bind(X_5,$fot(X_30))]]) ).

cnf(refute_0_38,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4)),equivalent(equivalent(equivalent(X_25,X_23),equivalent(X_25,X_24)),X_4))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_24),equivalent(X_25,X_23)),equivalent(equivalent(equivalent(X_30,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_30,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4))),equivalent(equivalent(X_24,X_23),equivalent(equivalent(equivalent(X_5,X_23),equivalent(X_5,X_24)),X_4)))) )],[refute_0_37,refute_0_36]) ).

cnf(refute_0_39,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4))),equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4)))),
    inference(subst,[],[refute_0_38:[bind(X_23,$fot(X_31)),bind(X_24,$fot(X_32)),bind(X_25,$fot(X_33)),bind(X_26,$fot(X_34)),bind(X_27,$fot(X_35)),bind(X_28,$fot(X_36)),bind(X_30,$fot(X_37)),bind(X_4,$fot(equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4))),bind(X_5,$fot(X_39))]]) ).

cnf(refute_0_40,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4)),equivalent(equivalent(equivalent(X_37,equivalent(X_36,X_34)),equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34)))),X_4))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4))),equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),equivalent(equivalent(equivalent(X_5,equivalent(X_33,X_32)),equivalent(X_5,equivalent(X_33,X_31))),X_4)))) )],[refute_0_39,refute_0_35]) ).

cnf(refute_0_41,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_47,X_40),equivalent(X_47,X_41)),equivalent(equivalent(equivalent(X_49,equivalent(X_42,X_41)),equivalent(X_49,equivalent(X_42,X_40))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4))),equivalent(equivalent(equivalent(X_46,equivalent(X_45,X_43)),equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4)))),
    inference(subst,[],[refute_0_40:[bind(X_31,$fot(X_40)),bind(X_32,$fot(X_41)),bind(X_33,$fot(X_42)),bind(X_34,$fot(X_43)),bind(X_35,$fot(X_44)),bind(X_36,$fot(X_45)),bind(X_37,$fot(X_46)),bind(X_39,$fot(X_47)),bind(X_4,$fot(equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4))),bind(X_5,$fot(X_49))]]) ).

cnf(refute_0_42,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_49,equivalent(X_42,X_41)),equivalent(X_49,equivalent(X_42,X_40))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4)),equivalent(equivalent(equivalent(X_47,X_41),equivalent(X_47,X_40)),X_4))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_47,X_40),equivalent(X_47,X_41)),equivalent(equivalent(equivalent(X_49,equivalent(X_42,X_41)),equivalent(X_49,equivalent(X_42,X_40))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4))),equivalent(equivalent(equivalent(X_46,equivalent(X_45,X_43)),equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_4)))) )],[refute_0_41,refute_0_34]) ).

cnf(refute_0_43,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_599,equivalent(X_596,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))))),equivalent(X_599,equivalent(X_596,X_595))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_595)),equivalent(equivalent(equivalent(X_47,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43))))),equivalent(X_47,X_595)),X_595))),
    inference(subst,[],[refute_0_42:[bind(X_4,$fot(X_595)),bind(X_40,$fot(X_595)),bind(X_41,$fot(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))))),bind(X_42,$fot(X_596)),bind(X_49,$fot(X_599))]]) ).

cnf(refute_0_44,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_111,equivalent(X_108,X_109)),equivalent(X_111,equivalent(X_108,X_107))),equivalent(X_109,X_107)),X_110))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_111,equivalent(X_108,X_109)),equivalent(X_111,equivalent(X_108,X_107))),equivalent(X_109,X_107)),X_110),X_110))
    | is_a_theorem(X_110) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(equivalent(X_111,equivalent(X_108,X_109)),equivalent(X_111,equivalent(X_108,X_107))),equivalent(X_109,X_107)),X_110))),bind(Y,$fot(X_110))]]) ).

cnf(refute_0_45,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),equivalent(equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101))),equivalent(X_103,X_101))),equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),X_23)),equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),X_23)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101))),equivalent(X_103,X_101)),X_23),X_23)) ),
    inference(subst,[],[refute_0_17:[bind(X_24,$fot(equivalent(equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101))),equivalent(X_103,X_101)))),bind(X_25,$fot(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))))),bind(X_26,$fot(equivalent(X_102,X_101))),bind(X_28,$fot(equivalent(X_102,X_103))),bind(X_29,$fot(X_23)),bind(X_30,$fot(X_105))]]) ).

cnf(refute_0_46,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(X_28,X_26)))),equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(X_93,equivalent(X_28,X_26)))),equivalent(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(X_28,X_26)))),X_87)),equivalent(equivalent(equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_92,equivalent(X_28,X_26))),X_87)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(X_93,equivalent(X_28,X_26))),X_87),X_87)) ),
    inference(subst,[],[refute_0_17:[bind(X_23,$fot(X_87)),bind(X_24,$fot(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(X_93,equivalent(X_28,X_26))))),bind(X_25,$fot(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(X_28,X_26)))))),bind(X_29,$fot(X_87)),bind(X_30,$fot(X_92))]]) ).

cnf(refute_0_47,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71)))),equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(W,Y),equivalent(W,X)),V6))),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),equivalent(equivalent(Y,X),V6)))),
    inference(subst,[],[lg_27_1690:[bind(U,$fot(X)),bind(V,$fot(Y)),bind(Z,$fot(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71)))))]]) ).

cnf(refute_0_48,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71)))),equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(W,Y),equivalent(W,X)),V6))),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),equivalent(equivalent(Y,X),V6))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),equivalent(equivalent(equivalent(W,Y),equivalent(W,X)),V6)),equivalent(equivalent(Y,X),V6))) ),
    inference(subst,[],[refute_0_17:[bind(X_23,$fot(equivalent(equivalent(equivalent(W,Y),equivalent(W,X)),V6))),bind(X_24,$fot(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))))),bind(X_25,$fot(equivalent(X,Y))),bind(X_26,$fot(X_71)),bind(X_27,$fot(X_72)),bind(X_28,$fot(X_73)),bind(X_29,$fot(equivalent(equivalent(Y,X),V6))),bind(X_30,$fot(X_75))]]) ).

cnf(refute_0_49,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),equivalent(equivalent(equivalent(W,Y),equivalent(W,X)),V6)),equivalent(equivalent(Y,X),V6))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71)))),equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(W,Y),equivalent(W,X)),V6))),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),equivalent(equivalent(Y,X),V6)))) )],[refute_0_47,refute_0_48]) ).

cnf(refute_0_50,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(X_28,X_26)))),equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(X_93,equivalent(X_28,X_26)))),equivalent(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(X_28,X_26)))),X_87)),equivalent(equivalent(equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_92,equivalent(X_28,X_26))),X_87))),
    inference(subst,[],[refute_0_49:[bind(V6,$fot(X_87)),bind(W,$fot(equivalent(X_92,X_93))),bind(X,$fot(equivalent(X_92,equivalent(X_28,X_26)))),bind(Y,$fot(equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))))),bind(X_71,$fot(equivalent(X_28,X_26))),bind(X_72,$fot(X_92)),bind(X_73,$fot(X_93)),bind(X_75,$fot(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))))))]]) ).

cnf(refute_0_51,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(X_93,equivalent(X_28,X_26))),X_87),X_87)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(X_28,X_26)))),equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(X_93,equivalent(X_28,X_26)))),equivalent(equivalent(equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),equivalent(equivalent(X_92,X_93),equivalent(X_92,equivalent(X_28,X_26)))),X_87)),equivalent(equivalent(equivalent(X_92,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_92,equivalent(X_28,X_26))),X_87))) )],[refute_0_50,refute_0_46]) ).

cnf(refute_0_52,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),equivalent(equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101))),equivalent(X_103,X_101))),equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),X_23)),equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),X_23))),
    inference(subst,[],[refute_0_51:[bind(X_26,$fot(X_101)),bind(X_27,$fot(X_102)),bind(X_28,$fot(X_103)),bind(X_87,$fot(equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),X_23))),bind(X_92,$fot(X_105)),bind(X_93,$fot(equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))))]]) ).

cnf(refute_0_53,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101))),equivalent(X_103,X_101)),X_23),X_23)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),equivalent(equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101))),equivalent(X_103,X_101))),equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),X_23)),equivalent(equivalent(equivalent(X_105,equivalent(equivalent(X_27,equivalent(X_102,X_103)),equivalent(X_27,equivalent(X_102,X_101)))),equivalent(X_105,equivalent(equivalent(X_102,X_103),equivalent(X_102,X_101)))),X_23))) )],[refute_0_52,refute_0_45]) ).

cnf(refute_0_54,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_111,equivalent(X_108,X_109)),equivalent(X_111,equivalent(X_108,X_107))),equivalent(X_109,X_107)),X_110),X_110)),
    inference(subst,[],[refute_0_53:[bind(X_101,$fot(X_107)),bind(X_102,$fot(X_108)),bind(X_103,$fot(X_109)),bind(X_23,$fot(X_110)),bind(X_27,$fot(X_111))]]) ).

cnf(refute_0_55,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_111,equivalent(X_108,X_109)),equivalent(X_111,equivalent(X_108,X_107))),equivalent(X_109,X_107)),X_110))
    | is_a_theorem(X_110) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_111,equivalent(X_108,X_109)),equivalent(X_111,equivalent(X_108,X_107))),equivalent(X_109,X_107)),X_110),X_110)) )],[refute_0_54,refute_0_44]) ).

cnf(refute_0_56,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_599,equivalent(X_596,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))))),equivalent(X_599,equivalent(X_596,X_595))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_595)),equivalent(equivalent(equivalent(X_47,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43))))),equivalent(X_47,X_595)),X_595)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_47,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43))))),equivalent(X_47,X_595)),X_595)) ),
    inference(subst,[],[refute_0_55:[bind(X_107,$fot(X_595)),bind(X_108,$fot(X_596)),bind(X_109,$fot(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))))),bind(X_110,$fot(equivalent(equivalent(equivalent(X_47,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43))))),equivalent(X_47,X_595)),X_595))),bind(X_111,$fot(X_599))]]) ).

cnf(refute_0_57,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_47,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43))))),equivalent(X_47,X_595)),X_595)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_599,equivalent(X_596,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))))),equivalent(X_599,equivalent(X_596,X_595))),equivalent(equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43)))),X_595)),equivalent(equivalent(equivalent(X_47,equivalent(equivalent(X_5,equivalent(X_46,equivalent(equivalent(X_44,X_45),equivalent(X_44,X_43)))),equivalent(X_5,equivalent(X_46,equivalent(X_45,X_43))))),equivalent(X_47,X_595)),X_595))) )],[refute_0_43,refute_0_56]) ).

cnf(refute_0_58,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_762,equivalent(equivalent(X_763,equivalent(X_761,equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)))),equivalent(X_763,equivalent(X_761,equivalent(X_760,X_758))))),equivalent(X_762,equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758)))),equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758)))),
    inference(subst,[],[refute_0_57:[bind(X_43,$fot(X_758)),bind(X_44,$fot(X_759)),bind(X_45,$fot(X_760)),bind(X_46,$fot(X_761)),bind(X_47,$fot(X_762)),bind(X_5,$fot(X_763)),bind(X_595,$fot(equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758))))]]) ).

cnf(refute_0_59,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_762,equivalent(equivalent(X_763,equivalent(X_761,equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)))),equivalent(X_763,equivalent(X_761,equivalent(X_760,X_758))))),equivalent(X_762,equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758)))),equivalent(equivalent(equivalent(X_759,X_760),equivalent(X_759,X_758)),equivalent(X_760,X_758)))) )],[refute_0_58,refute_0_33]) ).

cnf(refute_0_60,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_766,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_766,equivalent(X_115,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113))),equivalent(X_115,X_113)))),
    inference(subst,[],[refute_0_59:[bind(X_758,$fot(equivalent(X_115,X_113))),bind(X_759,$fot(X_766)),bind(X_760,$fot(equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))))]]) ).

cnf(refute_0_61,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113))),equivalent(X_115,X_113))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_766,equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(X_766,equivalent(X_115,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113))),equivalent(X_115,X_113)))) )],[refute_0_60,refute_0_32]) ).

cnf(refute_0_62,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_768,equivalent(X_770,X_771)),equivalent(X_768,equivalent(X_770,X_769))),equivalent(X_771,X_769))),
    inference(subst,[],[refute_0_61:[bind(X_112,$fot(X_768)),bind(X_113,$fot(X_769)),bind(X_114,$fot(X_770)),bind(X_115,$fot(X_771))]]) ).

cnf(refute_0_63,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_768,equivalent(X_770,X_771)),equivalent(X_768,equivalent(X_770,X_769))))
    | is_a_theorem(equivalent(X_771,X_769)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_768,equivalent(X_770,X_771)),equivalent(X_768,equivalent(X_770,X_769))),equivalent(X_771,X_769))) )],[refute_0_62,refute_0_31]) ).

cnf(refute_0_64,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(X_194,X_192))),equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782)))),equivalent(equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(X_194,X_192))),equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782))))
    | is_a_theorem(equivalent(equivalent(X_291,equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782)),X_782)) ),
    inference(subst,[],[refute_0_63:[bind(X_768,$fot(equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(X_194,X_192))))),bind(X_769,$fot(X_782)),bind(X_770,$fot(equivalent(X_291,equivalent(X_194,X_194)))),bind(X_771,$fot(equivalent(X_291,equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782))))]]) ).

cnf(refute_0_65,plain,
    is_a_theorem(equivalent(equivalent(X_291,equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782)),X_782)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(X_194,X_192))),equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782)))),equivalent(equivalent(equivalent(X_291,equivalent(X_194,X_194)),equivalent(X_291,equivalent(X_194,X_192))),equivalent(equivalent(X_291,equivalent(X_194,X_194)),X_782)))) )],[refute_0_30,refute_0_64]) ).

cnf(refute_0_66,plain,
    is_a_theorem(equivalent(equivalent(X_786,equivalent(equivalent(X_786,equivalent(X_785,X_785)),X_787)),X_787)),
    inference(subst,[],[refute_0_65:[bind(X_194,$fot(X_785)),bind(X_291,$fot(X_786)),bind(X_782,$fot(X_787))]]) ).

cnf(refute_0_67,plain,
    ( ~ is_a_theorem(equivalent(X_786,equivalent(equivalent(X_786,equivalent(X_785,X_785)),X_787)))
    | is_a_theorem(X_787) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_786,equivalent(equivalent(X_786,equivalent(X_785,X_785)),X_787)),X_787)) )],[refute_0_66,refute_0_5]) ).

cnf(refute_0_68,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),X_915))),equivalent(equivalent(equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),X_915))),equivalent(X_785,X_785)),equivalent(equivalent(equivalent(X_785,X_785),X_915),X_915))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_785,X_785),X_915),X_915)) ),
    inference(subst,[],[refute_0_67:[bind(X_786,$fot(equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),X_915))))),bind(X_787,$fot(equivalent(equivalent(equivalent(X_785,X_785),X_915),X_915)))]]) ).

cnf(refute_0_69,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113))),equivalent(equivalent(X_908,equivalent(X_112,equivalent(X_114,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113)))))
    | is_a_theorem(equivalent(equivalent(X_908,equivalent(X_112,equivalent(X_114,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113)))) ),
    inference(subst,[],[refute_0_27:[bind(X_116,$fot(equivalent(equivalent(X_908,equivalent(X_112,equivalent(X_114,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113))))),bind(X_117,$fot(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908)))]]) ).

cnf(refute_0_70,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4)),equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4),equivalent(equivalent(X_7,X_6),X_4))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(X_6)),bind(X_3,$fot(X_7)),bind(X_8,$fot(equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4)))]]) ).

cnf(refute_0_71,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_113)),X_789),equivalent(equivalent(X_112,equivalent(X_114,X_113)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_113)),X_789),equivalent(X_113,X_113))),equivalent(X_113,X_113)))
    | is_a_theorem(equivalent(X_113,X_113)) ),
    inference(subst,[],[refute_0_27:[bind(X_115,$fot(X_113)),bind(X_116,$fot(equivalent(X_113,X_113))),bind(X_117,$fot(equivalent(equivalent(X_112,equivalent(X_114,X_113)),X_789)))]]) ).

cnf(refute_0_72,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_129,equivalent(U,V)),equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6)))),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(U,V),X_129),V6)))),
    inference(subst,[],[lg_27_1690:[bind(X,$fot(X_129)),bind(Y,$fot(equivalent(U,V))),bind(Z,$fot(equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6)))))]]) ).

cnf(refute_0_73,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_79,X_76),equivalent(equivalent(X_78,X_79),equivalent(X_78,X_77))),equivalent(X_76,X_77)),X_80))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_79,X_76),equivalent(equivalent(X_78,X_79),equivalent(X_78,X_77))),equivalent(X_76,X_77)),X_80),X_80))
    | is_a_theorem(X_80) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(equivalent(X_79,X_76),equivalent(equivalent(X_78,X_79),equivalent(X_78,X_77))),equivalent(X_76,X_77)),X_80))),bind(Y,$fot(X_80))]]) ).

cnf(refute_0_74,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(equivalent(X_73,X_28),equivalent(X_73,X_71))),equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_28,X_71))),equivalent(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(equivalent(X_73,X_28),equivalent(X_73,X_71))),X_74)),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),X_74))),
    inference(subst,[],[refute_0_38:[bind(X_23,$fot(equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71)))),bind(X_24,$fot(equivalent(X_73,X_71))),bind(X_25,$fot(X_75)),bind(X_26,$fot(X_71)),bind(X_27,$fot(X_73)),bind(X_30,$fot(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))))),bind(X_4,$fot(X_74)),bind(X_5,$fot(equivalent(X_73,X_28)))]]) ).

cnf(refute_0_75,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(equivalent(X_73,X_28),equivalent(X_73,X_71))),equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_28,X_71))),equivalent(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(equivalent(X_73,X_28),equivalent(X_73,X_71))),X_74)),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),X_74)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_28,X_71)),X_74),X_74)) ),
    inference(subst,[],[refute_0_17:[bind(X_23,$fot(X_74)),bind(X_24,$fot(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_28,X_71)))),bind(X_25,$fot(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(equivalent(X_73,X_28),equivalent(X_73,X_71))))),bind(X_26,$fot(X_71)),bind(X_27,$fot(X_72)),bind(X_28,$fot(X_73)),bind(X_29,$fot(X_74)),bind(X_30,$fot(X_75))]]) ).

cnf(refute_0_76,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_28,X_71)),X_74),X_74)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(equivalent(X_73,X_28),equivalent(X_73,X_71))),equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_28,X_71))),equivalent(equivalent(equivalent(equivalent(X_73,X_28),equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(equivalent(X_73,X_28),equivalent(X_73,X_71))),X_74)),equivalent(equivalent(equivalent(X_75,equivalent(equivalent(X_72,X_73),equivalent(X_72,X_71))),equivalent(X_75,equivalent(X_73,X_71))),X_74))) )],[refute_0_74,refute_0_75]) ).

cnf(refute_0_77,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_79,X_76),equivalent(equivalent(X_78,X_79),equivalent(X_78,X_77))),equivalent(X_76,X_77)),X_80),X_80)),
    inference(subst,[],[refute_0_76:[bind(X_28,$fot(X_76)),bind(X_71,$fot(X_77)),bind(X_72,$fot(X_78)),bind(X_73,$fot(X_79)),bind(X_74,$fot(X_80))]]) ).

cnf(refute_0_78,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_79,X_76),equivalent(equivalent(X_78,X_79),equivalent(X_78,X_77))),equivalent(X_76,X_77)),X_80))
    | is_a_theorem(X_80) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_79,X_76),equivalent(equivalent(X_78,X_79),equivalent(X_78,X_77))),equivalent(X_76,X_77)),X_80),X_80)) )],[refute_0_77,refute_0_73]) ).

cnf(refute_0_79,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_129,equivalent(U,V)),equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6)))),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(U,V),X_129),V6))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(U,V),X_129),V6))) ),
    inference(subst,[],[refute_0_78:[bind(X_76,$fot(equivalent(U,V))),bind(X_77,$fot(equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),bind(X_78,$fot(X_128)),bind(X_79,$fot(X_129)),bind(X_80,$fot(equivalent(equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(U,V),X_129),V6))))]]) ).

cnf(refute_0_80,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(U,V),X_129),V6))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_129,equivalent(U,V)),equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6)))),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(X_128,X_129),equivalent(X_128,equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(equivalent(equivalent(U,V),X_129),V6)))) )],[refute_0_72,refute_0_79]) ).

cnf(refute_0_81,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(U,V),X_129),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),equivalent(equivalent(U,V),X_782)))),equivalent(equivalent(equivalent(U,V),X_129),equivalent(equivalent(U,V),X_782)))),
    inference(subst,[],[refute_0_80:[bind(V6,$fot(equivalent(equivalent(U,V),X_782))),bind(X_128,$fot(equivalent(U,V)))]]) ).

cnf(refute_0_82,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(U,V),X_129),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),equivalent(equivalent(U,V),X_782)))),equivalent(equivalent(equivalent(U,V),X_129),equivalent(equivalent(U,V),X_782))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(W,V),equivalent(W,U)),equivalent(equivalent(U,V),X_782)),X_782)) ),
    inference(subst,[],[refute_0_63:[bind(X_768,$fot(equivalent(equivalent(U,V),X_129))),bind(X_769,$fot(X_782)),bind(X_770,$fot(equivalent(U,V))),bind(X_771,$fot(equivalent(equivalent(equivalent(W,V),equivalent(W,U)),equivalent(equivalent(U,V),X_782))))]]) ).

cnf(refute_0_83,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(W,V),equivalent(W,U)),equivalent(equivalent(U,V),X_782)),X_782)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(U,V),X_129),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),equivalent(equivalent(U,V),X_782)))),equivalent(equivalent(equivalent(U,V),X_129),equivalent(equivalent(U,V),X_782)))) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_113)),X_789),equivalent(equivalent(X_112,equivalent(X_114,X_113)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_113)),X_789),equivalent(X_113,X_113))),equivalent(X_113,X_113))),
    inference(subst,[],[refute_0_83:[bind(U,$fot(equivalent(X_112,equivalent(X_114,X_113)))),bind(V,$fot(X_789)),bind(W,$fot(equivalent(X_112,equivalent(X_114,X_113)))),bind(X_782,$fot(equivalent(X_113,X_113)))]]) ).

cnf(refute_0_85,plain,
    is_a_theorem(equivalent(X_113,X_113)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_113)),X_789),equivalent(equivalent(X_112,equivalent(X_114,X_113)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_113)),X_789),equivalent(X_113,X_113))),equivalent(X_113,X_113))) )],[refute_0_84,refute_0_71]) ).

cnf(refute_0_86,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4)),equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4)))),
    inference(subst,[],[refute_0_85:[bind(X_113,$fot(equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4))))]]) ).

cnf(refute_0_87,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4),equivalent(equivalent(X_7,X_6),X_4))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4)),equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),X_4)))) )],[refute_0_86,refute_0_70]) ).

cnf(refute_0_88,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113))),equivalent(equivalent(X_908,equivalent(X_112,equivalent(X_114,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113))))),
    inference(subst,[],[refute_0_87:[bind(X_4,$fot(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113)))),bind(X_5,$fot(equivalent(X_112,equivalent(X_114,X_115)))),bind(X_6,$fot(equivalent(X_112,equivalent(X_114,X_113)))),bind(X_7,$fot(X_908))]]) ).

cnf(refute_0_89,plain,
    is_a_theorem(equivalent(equivalent(X_908,equivalent(X_112,equivalent(X_114,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(equivalent(X_112,equivalent(X_114,X_115)),equivalent(X_112,equivalent(X_114,X_113)))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113))),equivalent(equivalent(X_908,equivalent(X_112,equivalent(X_114,X_113))),equivalent(equivalent(equivalent(X_112,equivalent(X_114,X_115)),X_908),equivalent(X_115,X_113))))) )],[refute_0_88,refute_0_69]) ).

cnf(refute_0_90,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),X_915))),equivalent(equivalent(equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),X_915))),equivalent(X_785,X_785)),equivalent(equivalent(equivalent(X_785,X_785),X_915),X_915)))),
    inference(subst,[],[refute_0_89:[bind(X_112,$fot(equivalent(X_785,X_785))),bind(X_113,$fot(X_915)),bind(X_114,$fot(equivalent(X_785,X_785))),bind(X_115,$fot(equivalent(equivalent(X_785,X_785),X_915))),bind(X_908,$fot(equivalent(X_785,X_785)))]]) ).

cnf(refute_0_91,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_785,X_785),X_915),X_915)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),X_915))),equivalent(equivalent(equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),equivalent(equivalent(X_785,X_785),X_915))),equivalent(X_785,X_785)),equivalent(equivalent(equivalent(X_785,X_785),X_915),X_915)))) )],[refute_0_90,refute_0_68]) ).

cnf(refute_0_92,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_919,X_919),X_920),X_920)),
    inference(subst,[],[refute_0_91:[bind(X_785,$fot(X_919)),bind(X_915,$fot(X_920))]]) ).

cnf(refute_0_93,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_919,X_919),X_920))
    | is_a_theorem(X_920) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_919,X_919),X_920),X_920)) )],[refute_0_92,refute_0_4]) ).

cnf(refute_0_94,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_7158,equivalent(X_7153,equivalent(X_7156,X_7155))),equivalent(X_7158,equivalent(X_7153,equivalent(X_7156,X_7155)))),equivalent(equivalent(X_7153,equivalent(X_7156,X_7155)),equivalent(X_7153,equivalent(equivalent(X_7154,X_7156),equivalent(X_7154,X_7155))))))
    | is_a_theorem(equivalent(equivalent(X_7153,equivalent(X_7156,X_7155)),equivalent(X_7153,equivalent(equivalent(X_7154,X_7156),equivalent(X_7154,X_7155))))) ),
    inference(subst,[],[refute_0_93:[bind(X_919,$fot(equivalent(X_7158,equivalent(X_7153,equivalent(X_7156,X_7155))))),bind(X_920,$fot(equivalent(equivalent(X_7153,equivalent(X_7156,X_7155)),equivalent(X_7153,equivalent(equivalent(X_7154,X_7156),equivalent(X_7154,X_7155))))))]]) ).

cnf(refute_0_95,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))),equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))))),
    inference(subst,[],[refute_0_87:[bind(X_4,$fot(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))))]]) ).

cnf(refute_0_96,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))),equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))))
    | is_a_theorem(equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))) ),
    inference(subst,[],[refute_0_93:[bind(X_919,$fot(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))),bind(X_920,$fot(equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))))]]) ).

cnf(refute_0_97,plain,
    is_a_theorem(equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))),equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))))) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    ( ~ is_a_theorem(equivalent(X_3364,X_3366))
    | ~ is_a_theorem(equivalent(equivalent(X_3364,X_3366),equivalent(equivalent(X_3367,equivalent(X_3365,X_3364)),equivalent(X_3367,equivalent(X_3365,X_3366)))))
    | is_a_theorem(equivalent(equivalent(X_3367,equivalent(X_3365,X_3364)),equivalent(X_3367,equivalent(X_3365,X_3366)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3364,X_3366))),bind(Y,$fot(equivalent(equivalent(X_3367,equivalent(X_3365,X_3364)),equivalent(X_3367,equivalent(X_3365,X_3366)))))]]) ).

cnf(refute_0_99,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361)))),equivalent(equivalent(X_3359,X_3361),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))))))
    | is_a_theorem(equivalent(equivalent(X_3359,X_3361),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))))) ),
    inference(subst,[],[refute_0_93:[bind(X_919,$fot(equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))))),bind(X_920,$fot(equivalent(equivalent(X_3359,X_3361),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))))))]]) ).

cnf(refute_0_100,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3278,X_3276),equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4)),equivalent(equivalent(equivalent(X_3277,X_3278),equivalent(X_3277,X_3276)),equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4),equivalent(equivalent(X_3276,X_3278),X_4))) ),
    inference(subst,[],[refute_0_2:[bind(X_2,$fot(equivalent(X_3277,X_3278))),bind(X_3,$fot(equivalent(X_3277,X_3276))),bind(X_6,$fot(X_3278)),bind(X_7,$fot(X_3276)),bind(X_8,$fot(equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4)))]]) ).

cnf(refute_0_101,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3273,equivalent(X_28,X_26)),equivalent(X_3273,X_3272)),equivalent(equivalent(equivalent(X_3275,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_3275,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)),X_3272))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_28,X_26),X_3272),equivalent(equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)),X_3272))) ),
    inference(subst,[],[refute_0_17:[bind(X_23,$fot(X_3272)),bind(X_24,$fot(equivalent(X_28,X_26))),bind(X_25,$fot(X_3273)),bind(X_29,$fot(equivalent(equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)),X_3272))),bind(X_30,$fot(X_3275))]]) ).

cnf(refute_0_102,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3259))),equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259))),equivalent(equivalent(equivalent(X_3266,X_3258),equivalent(X_3266,X_3259)),equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259))))),
    inference(subst,[],[refute_0_87:[bind(X_4,$fot(equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259)))),bind(X_5,$fot(equivalent(X_3266,X_3263))),bind(X_6,$fot(equivalent(X_3266,X_3259))),bind(X_7,$fot(equivalent(X_3266,X_3258)))]]) ).

cnf(refute_0_103,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),X_38)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),X_38)),equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),X_38)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),X_38)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),X_38)))),bind(Y,$fot(equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),X_38)))]]) ).

cnf(refute_0_104,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),X_38)),equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),X_38))),
    inference(subst,[],[refute_0_38:[bind(X_23,$fot(X_31)),bind(X_24,$fot(X_32)),bind(X_25,$fot(X_33)),bind(X_26,$fot(X_34)),bind(X_27,$fot(X_35)),bind(X_28,$fot(X_36)),bind(X_30,$fot(X_37)),bind(X_4,$fot(X_38)),bind(X_5,$fot(X_39))]]) ).

cnf(refute_0_105,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),X_38)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),X_38)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_37,equivalent(equivalent(X_35,X_36),equivalent(X_35,X_34))),equivalent(X_37,equivalent(X_36,X_34))),equivalent(equivalent(equivalent(X_39,X_31),equivalent(X_39,X_32)),X_38)),equivalent(equivalent(equivalent(X_33,X_31),equivalent(X_33,X_32)),X_38))) )],[refute_0_104,refute_0_103]) ).

cnf(refute_0_106,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3259))),equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259))),equivalent(equivalent(equivalent(X_3266,X_3258),equivalent(X_3266,X_3259)),equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3260,X_3258),equivalent(X_3260,X_3259)),equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259)))) ),
    inference(subst,[],[refute_0_105:[bind(X_31,$fot(X_3258)),bind(X_32,$fot(X_3259)),bind(X_33,$fot(X_3260)),bind(X_34,$fot(X_3259)),bind(X_35,$fot(X_3266)),bind(X_36,$fot(X_3263)),bind(X_37,$fot(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)))),bind(X_38,$fot(equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259)))),bind(X_39,$fot(X_3266))]]) ).

cnf(refute_0_107,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3260,X_3258),equivalent(X_3260,X_3259)),equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3259))),equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259))),equivalent(equivalent(equivalent(X_3266,X_3258),equivalent(X_3266,X_3259)),equivalent(equivalent(equivalent(X_3266,X_3263),equivalent(X_3266,X_3258)),equivalent(X_3263,X_3259))))) )],[refute_0_102,refute_0_106]) ).

cnf(refute_0_108,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3273,equivalent(X_28,X_26)),equivalent(X_3273,X_3272)),equivalent(equivalent(equivalent(X_3275,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_3275,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)),X_3272)))),
    inference(subst,[],[refute_0_107:[bind(X_3258,$fot(equivalent(X_28,X_26))),bind(X_3259,$fot(X_3272)),bind(X_3260,$fot(X_3273)),bind(X_3263,$fot(equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)))),bind(X_3266,$fot(X_3275))]]) ).

cnf(refute_0_109,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_28,X_26),X_3272),equivalent(equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)),X_3272))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3273,equivalent(X_28,X_26)),equivalent(X_3273,X_3272)),equivalent(equivalent(equivalent(X_3275,equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26))),equivalent(X_3275,equivalent(X_28,X_26))),equivalent(equivalent(equivalent(X_27,X_28),equivalent(X_27,X_26)),X_3272)))) )],[refute_0_108,refute_0_101]) ).

cnf(refute_0_110,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3278,X_3276),equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4)),equivalent(equivalent(equivalent(X_3277,X_3278),equivalent(X_3277,X_3276)),equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4)))),
    inference(subst,[],[refute_0_109:[bind(X_26,$fot(X_3276)),bind(X_27,$fot(X_3277)),bind(X_28,$fot(X_3278)),bind(X_3272,$fot(equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4)))]]) ).

cnf(refute_0_111,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4),equivalent(equivalent(X_3276,X_3278),X_4))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3278,X_3276),equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4)),equivalent(equivalent(equivalent(X_3277,X_3278),equivalent(X_3277,X_3276)),equivalent(equivalent(equivalent(X_5,equivalent(X_3277,X_3276)),equivalent(X_5,equivalent(X_3277,X_3278))),X_4)))) )],[refute_0_110,refute_0_100]) ).

cnf(refute_0_112,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361)))),equivalent(equivalent(X_3359,X_3361),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361)))))),
    inference(subst,[],[refute_0_111:[bind(X_3276,$fot(X_3359)),bind(X_3277,$fot(X_3360)),bind(X_3278,$fot(X_3361)),bind(X_4,$fot(equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))))),bind(X_5,$fot(X_3363))]]) ).

cnf(refute_0_113,plain,
    is_a_theorem(equivalent(equivalent(X_3359,X_3361),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361))),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361)))),equivalent(equivalent(X_3359,X_3361),equivalent(equivalent(X_3363,equivalent(X_3360,X_3359)),equivalent(X_3363,equivalent(X_3360,X_3361)))))) )],[refute_0_112,refute_0_99]) ).

cnf(refute_0_114,plain,
    is_a_theorem(equivalent(equivalent(X_3364,X_3366),equivalent(equivalent(X_3367,equivalent(X_3365,X_3364)),equivalent(X_3367,equivalent(X_3365,X_3366))))),
    inference(subst,[],[refute_0_113:[bind(X_3359,$fot(X_3364)),bind(X_3360,$fot(X_3365)),bind(X_3361,$fot(X_3366)),bind(X_3363,$fot(X_3367))]]) ).

cnf(refute_0_115,plain,
    ( ~ is_a_theorem(equivalent(X_3364,X_3366))
    | is_a_theorem(equivalent(equivalent(X_3367,equivalent(X_3365,X_3364)),equivalent(X_3367,equivalent(X_3365,X_3366)))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3364,X_3366),equivalent(equivalent(X_3367,equivalent(X_3365,X_3364)),equivalent(X_3367,equivalent(X_3365,X_3366))))) )],[refute_0_114,refute_0_98]) ).

cnf(refute_0_116,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))))
    | is_a_theorem(equivalent(equivalent(X_3699,equivalent(X_3697,equivalent(X_7,X_6))),equivalent(X_3699,equivalent(X_3697,equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))))) ),
    inference(subst,[],[refute_0_115:[bind(X_3364,$fot(equivalent(X_7,X_6))),bind(X_3365,$fot(X_3697)),bind(X_3366,$fot(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))),bind(X_3367,$fot(X_3699))]]) ).

cnf(refute_0_117,plain,
    is_a_theorem(equivalent(equivalent(X_3699,equivalent(X_3697,equivalent(X_7,X_6))),equivalent(X_3699,equivalent(X_3697,equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))) )],[refute_0_97,refute_0_116]) ).

cnf(refute_0_118,plain,
    is_a_theorem(equivalent(equivalent(X_7066,equivalent(X_3697,equivalent(X_7,X_6))),equivalent(X_7066,equivalent(X_3697,equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))))),
    inference(subst,[],[refute_0_117:[bind(X_3699,$fot(X_7066))]]) ).

cnf(refute_0_119,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3273,X_3271),equivalent(X_3273,X_3272)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_3273,X_3271),equivalent(X_3273,X_3272)),equivalent(equivalent(equivalent(X_3275,X_3274),equivalent(X_3275,X_3271)),equivalent(X_3274,X_3272))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3275,X_3274),equivalent(X_3275,X_3271)),equivalent(X_3274,X_3272))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_3273,X_3271),equivalent(X_3273,X_3272)))),bind(Y,$fot(equivalent(equivalent(equivalent(X_3275,X_3274),equivalent(X_3275,X_3271)),equivalent(X_3274,X_3272))))]]) ).

cnf(refute_0_120,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3273,X_3271),equivalent(X_3273,X_3272)),equivalent(equivalent(equivalent(X_3275,X_3274),equivalent(X_3275,X_3271)),equivalent(X_3274,X_3272)))),
    inference(subst,[],[refute_0_107:[bind(X_3258,$fot(X_3271)),bind(X_3259,$fot(X_3272)),bind(X_3260,$fot(X_3273)),bind(X_3263,$fot(X_3274)),bind(X_3266,$fot(X_3275))]]) ).

cnf(refute_0_121,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3273,X_3271),equivalent(X_3273,X_3272)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3275,X_3274),equivalent(X_3275,X_3271)),equivalent(X_3274,X_3272))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3273,X_3271),equivalent(X_3273,X_3272)),equivalent(equivalent(equivalent(X_3275,X_3274),equivalent(X_3275,X_3271)),equivalent(X_3274,X_3272)))) )],[refute_0_120,refute_0_119]) ).

cnf(refute_0_122,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_7066,equivalent(X_3697,equivalent(X_7,X_6))),equivalent(X_7066,equivalent(X_3697,equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_7068,X_7067),equivalent(X_7068,equivalent(X_3697,equivalent(X_7,X_6)))),equivalent(X_7067,equivalent(X_3697,equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))))) ),
    inference(subst,[],[refute_0_121:[bind(X_3271,$fot(equivalent(X_3697,equivalent(X_7,X_6)))),bind(X_3272,$fot(equivalent(X_3697,equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6))))),bind(X_3273,$fot(X_7066)),bind(X_3274,$fot(X_7067)),bind(X_3275,$fot(X_7068))]]) ).

cnf(refute_0_123,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_7068,X_7067),equivalent(X_7068,equivalent(X_3697,equivalent(X_7,X_6)))),equivalent(X_7067,equivalent(X_3697,equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_7066,equivalent(X_3697,equivalent(X_7,X_6))),equivalent(X_7066,equivalent(X_3697,equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)))))) )],[refute_0_118,refute_0_122]) ).

cnf(refute_0_124,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_7158,equivalent(X_7153,equivalent(X_7156,X_7155))),equivalent(X_7158,equivalent(X_7153,equivalent(X_7156,X_7155)))),equivalent(equivalent(X_7153,equivalent(X_7156,X_7155)),equivalent(X_7153,equivalent(equivalent(X_7154,X_7156),equivalent(X_7154,X_7155)))))),
    inference(subst,[],[refute_0_123:[bind(X_3697,$fot(X_7153)),bind(X_5,$fot(X_7154)),bind(X_6,$fot(X_7155)),bind(X_7,$fot(X_7156)),bind(X_7067,$fot(equivalent(X_7153,equivalent(X_7156,X_7155)))),bind(X_7068,$fot(X_7158))]]) ).

cnf(refute_0_125,plain,
    is_a_theorem(equivalent(equivalent(X_7153,equivalent(X_7156,X_7155)),equivalent(X_7153,equivalent(equivalent(X_7154,X_7156),equivalent(X_7154,X_7155))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_7158,equivalent(X_7153,equivalent(X_7156,X_7155))),equivalent(X_7158,equivalent(X_7153,equivalent(X_7156,X_7155)))),equivalent(equivalent(X_7153,equivalent(X_7156,X_7155)),equivalent(X_7153,equivalent(equivalent(X_7154,X_7156),equivalent(X_7154,X_7155)))))) )],[refute_0_124,refute_0_94]) ).

cnf(refute_0_126,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_6,X_7),equivalent(equivalent(X_5,X_6),X_7176)),equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),equivalent(equivalent(X_5,X_7),X_7176))))),
    inference(subst,[],[refute_0_125:[bind(X_7153,$fot(equivalent(X_6,X_7))),bind(X_7154,$fot(equivalent(X_5,X_7))),bind(X_7155,$fot(X_7176)),bind(X_7156,$fot(equivalent(X_5,X_6)))]]) ).

cnf(refute_0_127,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_5,X_6),X_7176),equivalent(equivalent(X_7,X_6),equivalent(equivalent(X_5,X_7),X_7176)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_6,X_7),equivalent(equivalent(X_5,X_6),X_7176)),equivalent(equivalent(X_6,X_7),equivalent(equivalent(equivalent(X_5,X_7),equivalent(X_5,X_6)),equivalent(equivalent(X_5,X_7),X_7176))))) )],[refute_0_126,refute_0_3]) ).

cnf(refute_0_128,plain,
    is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    inference(subst,[],[refute_0_127:[bind(X_5,$fot(a)),bind(X_6,$fot(b)),bind(X_7,$fot(e)),bind(X_7176,$fot(c))]]) ).

cnf(refute_0_129,plain,
    $false,
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) )],[refute_0_128,prove_p_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL107-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul  3 22:02:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.88/7.15  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.88/7.15  
% 6.88/7.15  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.98/7.22  
%------------------------------------------------------------------------------