%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL015-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 12:48:47 EDT 2022

% Result   : Unsatisfiable 278.47s 278.69s
% Output   : CNFRefutation 278.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   91
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  283 ( 154 unt;   0 nHn;  80 RR)
%            Number of literals    :  440 (   0 equ; 158 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   : 1248 (   0 sgn)

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

cnf(yrm,axiom,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))) ).

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

cnf(refute_0_0,plain,
    ( ~ is_a_theorem(equivalent(X_3011,equivalent(X_3010,X_3011)))
    | ~ is_a_theorem(equivalent(equivalent(X_3011,equivalent(X_3010,X_3011)),X_3010))
    | is_a_theorem(X_3010) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3011,equivalent(X_3010,X_3011)))),bind(Y,$fot(X_3010))]]) ).

cnf(refute_0_1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_70,equivalent(equivalent(X_73,X_70),X_72)),X_71),equivalent(X_72,X_73)),equivalent(equivalent(X_67,X_68),equivalent(X_69,equivalent(equivalent(X_68,X_69),X_67)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_70,equivalent(equivalent(X_73,X_70),X_72)),X_71),equivalent(X_72,X_73)),equivalent(equivalent(X_67,X_68),equivalent(X_69,equivalent(equivalent(X_68,X_69),X_67)))),X_71))
    | is_a_theorem(X_71) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(equivalent(X_70,equivalent(equivalent(X_73,X_70),X_72)),X_71),equivalent(X_72,X_73)),equivalent(equivalent(X_67,X_68),equivalent(X_69,equivalent(equivalent(X_68,X_69),X_67)))))),bind(Y,$fot(X_71))]]) ).

cnf(refute_0_2,plain,
    ( ~ is_a_theorem(X_12)
    | ~ is_a_theorem(equivalent(X_12,equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_12)),bind(Y,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14)))]]) ).

cnf(refute_0_3,plain,
    ( ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X))))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(Y,Z),X))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X,Y))),bind(Y,$fot(equivalent(Z,equivalent(equivalent(Y,Z),X))))]]) ).

cnf(refute_0_4,plain,
    ( ~ is_a_theorem(equivalent(X,Y))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(Y,Z),X))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))) )],[yrm,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ is_a_theorem(equivalent(X_11,equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9))))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9)),Z),X_11))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_11)),bind(Y,$fot(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9))))]]) ).

cnf(refute_0_6,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X))))
    | is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(equivalent(X,Y))),bind(Y,$fot(equivalent(Z,equivalent(equivalent(Y,Z),X)))),bind(Z,$fot(X_7))]]) ).

cnf(refute_0_7,plain,
    is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))) )],[yrm,refute_0_6]) ).

cnf(refute_0_8,plain,
    is_a_theorem(equivalent(X_11,equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9)))),
    inference(subst,[],[refute_0_7:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(X_10)),bind(X_7,$fot(X_11))]]) ).

cnf(refute_0_9,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9)),Z),X_11))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_11,equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9)))) )],[refute_0_8,refute_0_5]) ).

cnf(refute_0_10,plain,
    is_a_theorem(equivalent(X_12,equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14))),
    inference(subst,[],[refute_0_9:[bind(Z,$fot(X_12)),bind(X_10,$fot(X_13)),bind(X_11,$fot(X_14)),bind(X_8,$fot(X_15)),bind(X_9,$fot(X_16))]]) ).

cnf(refute_0_11,plain,
    ( ~ is_a_theorem(X_12)
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_12,equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14))) )],[refute_0_10,refute_0_2]) ).

cnf(refute_0_12,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_63,equivalent(equivalent(X_66,X_63),X_65)),X_64),equivalent(X_65,X_66)),equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))),X_64)) ),
    inference(subst,[],[refute_0_11:[bind(X_12,$fot(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X))))),bind(X_13,$fot(X_63)),bind(X_14,$fot(X_64)),bind(X_15,$fot(X_65)),bind(X_16,$fot(X_66))]]) ).

cnf(refute_0_13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_63,equivalent(equivalent(X_66,X_63),X_65)),X_64),equivalent(X_65,X_66)),equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))),X_64)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))) )],[yrm,refute_0_12]) ).

cnf(refute_0_14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_70,equivalent(equivalent(X_73,X_70),X_72)),X_71),equivalent(X_72,X_73)),equivalent(equivalent(X_67,X_68),equivalent(X_69,equivalent(equivalent(X_68,X_69),X_67)))),X_71)),
    inference(subst,[],[refute_0_13:[bind(X,$fot(X_67)),bind(Y,$fot(X_68)),bind(Z,$fot(X_69)),bind(X_63,$fot(X_70)),bind(X_64,$fot(X_71)),bind(X_65,$fot(X_72)),bind(X_66,$fot(X_73))]]) ).

cnf(refute_0_15,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_70,equivalent(equivalent(X_73,X_70),X_72)),X_71),equivalent(X_72,X_73)),equivalent(equivalent(X_67,X_68),equivalent(X_69,equivalent(equivalent(X_68,X_69),X_67)))))
    | is_a_theorem(X_71) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_70,equivalent(equivalent(X_73,X_70),X_72)),X_71),equivalent(X_72,X_73)),equivalent(equivalent(X_67,X_68),equivalent(X_69,equivalent(equivalent(X_68,X_69),X_67)))),X_71)) )],[refute_0_14,refute_0_1]) ).

cnf(refute_0_16,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(X_72,X_73)),equivalent(equivalent(equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(X_72,X_73)),equivalent(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72),equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)))))))
    | is_a_theorem(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)) ),
    inference(subst,[],[refute_0_15:[bind(X_67,$fot(equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)))),bind(X_68,$fot(equivalent(X_72,X_73))),bind(X_69,$fot(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72))),bind(X_70,$fot(equivalent(X_72,X_73))),bind(X_71,$fot(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)))]]) ).

cnf(refute_0_17,plain,
    ( ~ is_a_theorem(equivalent(X_2778,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2781,equivalent(X_2779,X_2780))),X_2779),X_2781),X_2778),X_2782)))
    | ~ is_a_theorem(equivalent(equivalent(X_2778,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2781,equivalent(X_2779,X_2780))),X_2779),X_2781),X_2778),X_2782)),X_2782))
    | is_a_theorem(X_2782) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_2778,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2781,equivalent(X_2779,X_2780))),X_2779),X_2781),X_2778),X_2782)))),bind(Y,$fot(X_2782))]]) ).

cnf(refute_0_18,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_24,equivalent(equivalent(X_26,X_24),X_25)),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_24,equivalent(equivalent(X_26,X_24),X_25)),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(X_25,X_26)))
    | is_a_theorem(equivalent(X_25,X_26)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_24,equivalent(equivalent(X_26,X_24),X_25)),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))))),bind(Y,$fot(equivalent(X_25,X_26)))]]) ).

cnf(refute_0_19,plain,
    ( ~ is_a_theorem(X_11)
    | ~ is_a_theorem(equivalent(X_11,equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_11)),bind(Y,$fot(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9))))]]) ).

cnf(refute_0_20,plain,
    ( ~ is_a_theorem(X_11)
    | is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_11,equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),X_11),equivalent(X_8,X_9)))) )],[refute_0_8,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_17,equivalent(equivalent(X_20,X_17),X_19)),equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))),equivalent(X_19,X_20))) ),
    inference(subst,[],[refute_0_20:[bind(X_10,$fot(X_17)),bind(X_11,$fot(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X))))),bind(X_8,$fot(X_19)),bind(X_9,$fot(X_20))]]) ).

cnf(refute_0_22,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_17,equivalent(equivalent(X_20,X_17),X_19)),equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))),equivalent(X_19,X_20))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))) )],[yrm,refute_0_21]) ).

cnf(refute_0_23,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_24,equivalent(equivalent(X_26,X_24),X_25)),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(X_25,X_26))),
    inference(subst,[],[refute_0_22:[bind(X,$fot(X_21)),bind(Y,$fot(X_22)),bind(Z,$fot(X_23)),bind(X_17,$fot(X_24)),bind(X_19,$fot(X_25)),bind(X_20,$fot(X_26))]]) ).

cnf(refute_0_24,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_24,equivalent(equivalent(X_26,X_24),X_25)),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))))
    | is_a_theorem(equivalent(X_25,X_26)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_24,equivalent(equivalent(X_26,X_24),X_25)),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(X_25,X_26))) )],[refute_0_23,refute_0_18]) ).

cnf(refute_0_25,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),equivalent(equivalent(X_2776,equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774)),equivalent(X_2768,equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),X_2768),X_2776)))),equivalent(equivalent(equivalent(X_2769,X_2770),equivalent(equivalent(X_2774,equivalent(X_2769,X_2770)),equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769))),equivalent(X_2775,equivalent(equivalent(equivalent(equivalent(X_2774,equivalent(X_2769,X_2770)),equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769)),X_2775),equivalent(X_2769,X_2770))))))
    | is_a_theorem(equivalent(equivalent(X_2768,equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),X_2768),X_2776)),X_2776)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(equivalent(X_2769,X_2770))),bind(X_22,$fot(equivalent(equivalent(X_2774,equivalent(X_2769,X_2770)),equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769)))),bind(X_23,$fot(X_2775)),bind(X_24,$fot(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774))),bind(X_25,$fot(equivalent(X_2768,equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),X_2768),X_2776)))),bind(X_26,$fot(X_2776))]]) ).

cnf(refute_0_26,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578),X_576))
    | is_a_theorem(X_576) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578))),bind(Y,$fot(X_576))]]) ).

cnf(refute_0_27,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573))),equivalent(equivalent(equivalent(X_26,X_573),equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573)))),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),equivalent(equivalent(equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573))),equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26))),equivalent(X_26,X_573))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573),X_26)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(equivalent(X_26,X_573))),bind(X_22,$fot(equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573))))),bind(X_23,$fot(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)))),bind(X_24,$fot(X_573)),bind(X_25,$fot(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573)))]]) ).

cnf(refute_0_28,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_384,equivalent(equivalent(X_389,X_384),X_388)),equivalent(equivalent(equivalent(X_387,equivalent(X_385,equivalent(X_386,X_387))),X_386),X_385)),equivalent(X_388,X_389)))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_388,X_389),Z),equivalent(equivalent(X_384,equivalent(equivalent(X_389,X_384),X_388)),equivalent(equivalent(equivalent(X_387,equivalent(X_385,equivalent(X_386,X_387))),X_386),X_385))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(equivalent(equivalent(X_384,equivalent(equivalent(X_389,X_384),X_388)),equivalent(equivalent(equivalent(X_387,equivalent(X_385,equivalent(X_386,X_387))),X_386),X_385)))),bind(Y,$fot(equivalent(X_388,X_389)))]]) ).

cnf(refute_0_29,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342))
    | is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342)),equivalent(X_8,X_9))) ),
    inference(subst,[],[refute_0_20:[bind(X_11,$fot(equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342)))]]) ).

cnf(refute_0_30,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_339,X_340),equivalent(equivalent(X_26,equivalent(X_339,X_340)),equivalent(equivalent(X_340,equivalent(X_26,equivalent(X_339,X_340))),X_339))),equivalent(equivalent(X_336,X_337),equivalent(X_338,equivalent(equivalent(X_337,X_338),X_336)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_340,equivalent(X_26,equivalent(X_339,X_340))),X_339),X_26)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(X_336)),bind(X_22,$fot(X_337)),bind(X_23,$fot(X_338)),bind(X_24,$fot(equivalent(X_339,X_340))),bind(X_25,$fot(equivalent(equivalent(X_340,equivalent(X_26,equivalent(X_339,X_340))),X_339)))]]) ).

cnf(refute_0_31,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_329,equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)),X_329),equivalent(X_330,X_331))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)))),equivalent(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))),equivalent(equivalent(equivalent(X_329,equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)),X_329),equivalent(X_330,X_331))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))))) ),
    inference(subst,[],[refute_0_24:[bind(X_24,$fot(equivalent(equivalent(equivalent(X_329,equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)),X_329),equivalent(X_330,X_331))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)))))),bind(X_25,$fot(equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))),bind(X_26,$fot(equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))))]]) ).

cnf(refute_0_32,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_139,equivalent(equivalent(equivalent(X_140,equivalent(equivalent(equivalent(X_143,equivalent(equivalent(X_142,X_143),X_141)),X_140),equivalent(X_141,X_142))),X_139),X_144)),X_144))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),equivalent(equivalent(X_139,equivalent(equivalent(equivalent(X_140,equivalent(equivalent(equivalent(X_143,equivalent(equivalent(X_142,X_143),X_141)),X_140),equivalent(X_141,X_142))),X_139),X_144)),X_144)),X_14)) ),
    inference(subst,[],[refute_0_11:[bind(X_12,$fot(equivalent(equivalent(X_139,equivalent(equivalent(equivalent(X_140,equivalent(equivalent(equivalent(X_143,equivalent(equivalent(X_142,X_143),X_141)),X_140),equivalent(X_141,X_142))),X_139),X_144)),X_144)))]]) ).

cnf(refute_0_33,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),equivalent(equivalent(X_79,equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75)))),equivalent(Z,equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),Z),X_79)))),equivalent(equivalent(X_74,X_75),equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74))))),
    inference(subst,[],[refute_0_22:[bind(X,$fot(X_79)),bind(Y,$fot(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))))),bind(X_19,$fot(equivalent(X_74,X_75))),bind(X_20,$fot(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74))))]]) ).

cnf(refute_0_34,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),equivalent(equivalent(X_79,equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75)))),equivalent(Z,equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),Z),X_79)))),equivalent(equivalent(X_74,X_75),equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)))))
    | is_a_theorem(equivalent(equivalent(Z,equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),Z),X_79)),X_79)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(X_74)),bind(X_22,$fot(X_75)),bind(X_23,$fot(X_76)),bind(X_24,$fot(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))))),bind(X_25,$fot(equivalent(Z,equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),Z),X_79)))),bind(X_26,$fot(X_79))]]) ).

cnf(refute_0_35,plain,
    is_a_theorem(equivalent(equivalent(Z,equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),Z),X_79)),X_79)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),equivalent(equivalent(X_79,equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75)))),equivalent(Z,equivalent(equivalent(equivalent(X_17,equivalent(equivalent(equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74)),X_17),equivalent(X_74,X_75))),Z),X_79)))),equivalent(equivalent(X_74,X_75),equivalent(X_76,equivalent(equivalent(X_75,X_76),X_74))))) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    is_a_theorem(equivalent(equivalent(X_139,equivalent(equivalent(equivalent(X_140,equivalent(equivalent(equivalent(X_143,equivalent(equivalent(X_142,X_143),X_141)),X_140),equivalent(X_141,X_142))),X_139),X_144)),X_144)),
    inference(subst,[],[refute_0_35:[bind(Z,$fot(X_139)),bind(X_17,$fot(X_140)),bind(X_74,$fot(X_141)),bind(X_75,$fot(X_142)),bind(X_76,$fot(X_143)),bind(X_79,$fot(X_144))]]) ).

cnf(refute_0_37,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),equivalent(equivalent(X_139,equivalent(equivalent(equivalent(X_140,equivalent(equivalent(equivalent(X_143,equivalent(equivalent(X_142,X_143),X_141)),X_140),equivalent(X_141,X_142))),X_139),X_144)),X_144)),X_14)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_139,equivalent(equivalent(equivalent(X_140,equivalent(equivalent(equivalent(X_143,equivalent(equivalent(X_142,X_143),X_141)),X_140),equivalent(X_141,X_142))),X_139),X_144)),X_144)) )],[refute_0_36,refute_0_32]) ).

cnf(refute_0_38,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_329,equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)),X_329),equivalent(X_330,X_331))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)))),equivalent(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))),equivalent(equivalent(equivalent(X_329,equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)),X_329),equivalent(X_330,X_331))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))))),
    inference(subst,[],[refute_0_37:[bind(X_13,$fot(X_329)),bind(X_139,$fot(equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))))),bind(X_14,$fot(equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))))),bind(X_140,$fot(X_329)),bind(X_141,$fot(X_330)),bind(X_142,$fot(X_331)),bind(X_143,$fot(X_332)),bind(X_144,$fot(equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))),bind(X_15,$fot(equivalent(X_330,X_331))),bind(X_16,$fot(equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))]]) ).

cnf(refute_0_39,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_329,equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)),X_329),equivalent(X_330,X_331))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)))),equivalent(equivalent(equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))),equivalent(equivalent(equivalent(X_329,equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330)),X_329),equivalent(X_330,X_331))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21)))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))),equivalent(equivalent(X_330,X_331),equivalent(X_332,equivalent(equivalent(X_331,X_332),X_330))))),equivalent(equivalent(X_21,X_22),equivalent(X_23,equivalent(equivalent(X_22,X_23),X_21))))) )],[refute_0_38,refute_0_31]) ).

cnf(refute_0_40,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_339,X_340),equivalent(equivalent(X_26,equivalent(X_339,X_340)),equivalent(equivalent(X_340,equivalent(X_26,equivalent(X_339,X_340))),X_339))),equivalent(equivalent(X_336,X_337),equivalent(X_338,equivalent(equivalent(X_337,X_338),X_336))))),
    inference(subst,[],[refute_0_39:[bind(X_21,$fot(X_336)),bind(X_22,$fot(X_337)),bind(X_23,$fot(X_338)),bind(X_330,$fot(X_339)),bind(X_331,$fot(X_340)),bind(X_332,$fot(equivalent(X_26,equivalent(X_339,X_340))))]]) ).

cnf(refute_0_41,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_340,equivalent(X_26,equivalent(X_339,X_340))),X_339),X_26)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_339,X_340),equivalent(equivalent(X_26,equivalent(X_339,X_340)),equivalent(equivalent(X_340,equivalent(X_26,equivalent(X_339,X_340))),X_339))),equivalent(equivalent(X_336,X_337),equivalent(X_338,equivalent(equivalent(X_337,X_338),X_336))))) )],[refute_0_40,refute_0_30]) ).

cnf(refute_0_42,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342)),
    inference(subst,[],[refute_0_41:[bind(X_26,$fot(X_342)),bind(X_339,$fot(X_343)),bind(X_340,$fot(X_344))]]) ).

cnf(refute_0_43,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342)),equivalent(X_8,X_9))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342)) )],[refute_0_42,refute_0_29]) ).

cnf(refute_0_44,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_384,equivalent(equivalent(X_389,X_384),X_388)),equivalent(equivalent(equivalent(X_387,equivalent(X_385,equivalent(X_386,X_387))),X_386),X_385)),equivalent(X_388,X_389))),
    inference(subst,[],[refute_0_43:[bind(X_10,$fot(X_384)),bind(X_342,$fot(X_385)),bind(X_343,$fot(X_386)),bind(X_344,$fot(X_387)),bind(X_8,$fot(X_388)),bind(X_9,$fot(X_389))]]) ).

cnf(refute_0_45,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_388,X_389),Z),equivalent(equivalent(X_384,equivalent(equivalent(X_389,X_384),X_388)),equivalent(equivalent(equivalent(X_387,equivalent(X_385,equivalent(X_386,X_387))),X_386),X_385))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_384,equivalent(equivalent(X_389,X_384),X_388)),equivalent(equivalent(equivalent(X_387,equivalent(X_385,equivalent(X_386,X_387))),X_386),X_385)),equivalent(X_388,X_389))) )],[refute_0_44,refute_0_28]) ).

cnf(refute_0_46,plain,
    is_a_theorem(equivalent(equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573))),equivalent(equivalent(equivalent(X_26,X_573),equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573)))),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),equivalent(equivalent(equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573))),equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26))),equivalent(X_26,X_573)))))),
    inference(subst,[],[refute_0_45:[bind(Z,$fot(equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573))))),bind(X_384,$fot(X_570)),bind(X_385,$fot(equivalent(X_26,X_573))),bind(X_386,$fot(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)))),bind(X_387,$fot(X_573)),bind(X_388,$fot(X_26)),bind(X_389,$fot(X_573))]]) ).

cnf(refute_0_47,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573),X_26)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573))),equivalent(equivalent(equivalent(X_26,X_573),equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573)))),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),equivalent(equivalent(equivalent(X_573,equivalent(equivalent(X_26,X_573),equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26)),X_573))),equivalent(X_570,equivalent(equivalent(X_573,X_570),X_26))),equivalent(X_26,X_573)))))) )],[refute_0_46,refute_0_27]) ).

cnf(refute_0_48,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578),X_576)),
    inference(subst,[],[refute_0_47:[bind(X_26,$fot(X_576)),bind(X_570,$fot(X_577)),bind(X_573,$fot(X_578))]]) ).

cnf(refute_0_49,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578))
    | is_a_theorem(X_576) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578),X_576)) )],[refute_0_48,refute_0_26]) ).

cnf(refute_0_50,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)),equivalent(equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391))),equivalent(equivalent(equivalent(X_1388,X_1389),equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)))),equivalent(equivalent(X_1387,equivalent(equivalent(X_1389,X_1387),X_1388)),equivalent(X_1390,equivalent(equivalent(equivalent(X_1386,equivalent(equivalent(X_1385,X_1386),X_1384)),X_1390),equivalent(X_1384,X_1385))))))),equivalent(X_1391,X_1392)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_1388,X_1389),equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)))),equivalent(equivalent(X_1387,equivalent(equivalent(X_1389,X_1387),X_1388)),equivalent(X_1390,equivalent(equivalent(equivalent(X_1386,equivalent(equivalent(X_1385,X_1386),X_1384)),X_1390),equivalent(X_1384,X_1385)))))) ),
    inference(subst,[],[refute_0_49:[bind(X_576,$fot(equivalent(equivalent(equivalent(X_1388,X_1389),equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)))),equivalent(equivalent(X_1387,equivalent(equivalent(X_1389,X_1387),X_1388)),equivalent(X_1390,equivalent(equivalent(equivalent(X_1386,equivalent(equivalent(X_1385,X_1386),X_1384)),X_1390),equivalent(X_1384,X_1385))))))),bind(X_577,$fot(equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)))),bind(X_578,$fot(equivalent(X_1391,X_1392)))]]) ).

cnf(refute_0_51,plain,
    ( ~ is_a_theorem(equivalent(X_172,equivalent(equivalent(equivalent(X_177,X_178),X_172),equivalent(equivalent(X_176,equivalent(equivalent(X_178,X_176),X_177)),equivalent(X_179,equivalent(equivalent(equivalent(X_175,equivalent(equivalent(X_174,X_175),X_173)),X_179),equivalent(X_173,X_174)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),equivalent(X_172,equivalent(equivalent(equivalent(X_177,X_178),X_172),equivalent(equivalent(X_176,equivalent(equivalent(X_178,X_176),X_177)),equivalent(X_179,equivalent(equivalent(equivalent(X_175,equivalent(equivalent(X_174,X_175),X_173)),X_179),equivalent(X_173,X_174))))))),equivalent(X_8,X_9))) ),
    inference(subst,[],[refute_0_20:[bind(X_11,$fot(equivalent(X_172,equivalent(equivalent(equivalent(X_177,X_178),X_172),equivalent(equivalent(X_176,equivalent(equivalent(X_178,X_176),X_177)),equivalent(X_179,equivalent(equivalent(equivalent(X_175,equivalent(equivalent(X_174,X_175),X_173)),X_179),equivalent(X_173,X_174))))))))]]) ).

cnf(refute_0_52,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))),equivalent(X_44,X_45)))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_44,X_45),Z),equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41))))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))))),bind(Y,$fot(equivalent(X_44,X_45)))]]) ).

cnf(refute_0_53,plain,
    ( ~ is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_17,equivalent(equivalent(X_20,X_17),X_19)),equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y)))),equivalent(X_19,X_20))) ),
    inference(subst,[],[refute_0_20:[bind(X_10,$fot(X_17)),bind(X_11,$fot(equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y))))),bind(X_8,$fot(X_19)),bind(X_9,$fot(X_20))]]) ).

cnf(refute_0_54,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_17,equivalent(equivalent(X_20,X_17),X_19)),equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y)))),equivalent(X_19,X_20))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y)))) )],[refute_0_7,refute_0_53]) ).

cnf(refute_0_55,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))),equivalent(X_44,X_45))),
    inference(subst,[],[refute_0_54:[bind(X,$fot(X_40)),bind(Y,$fot(X_41)),bind(Z,$fot(X_42)),bind(X_17,$fot(X_43)),bind(X_19,$fot(X_44)),bind(X_20,$fot(X_45)),bind(X_7,$fot(X_46))]]) ).

cnf(refute_0_56,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_44,X_45),Z),equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41))))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))),equivalent(X_44,X_45))) )],[refute_0_55,refute_0_52]) ).

cnf(refute_0_57,plain,
    is_a_theorem(equivalent(X_172,equivalent(equivalent(equivalent(X_177,X_178),X_172),equivalent(equivalent(X_176,equivalent(equivalent(X_178,X_176),X_177)),equivalent(X_179,equivalent(equivalent(equivalent(X_175,equivalent(equivalent(X_174,X_175),X_173)),X_179),equivalent(X_173,X_174))))))),
    inference(subst,[],[refute_0_56:[bind(Z,$fot(X_172)),bind(X_40,$fot(X_173)),bind(X_41,$fot(X_174)),bind(X_42,$fot(X_175)),bind(X_43,$fot(X_176)),bind(X_44,$fot(X_177)),bind(X_45,$fot(X_178)),bind(X_46,$fot(X_179))]]) ).

cnf(refute_0_58,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),equivalent(X_172,equivalent(equivalent(equivalent(X_177,X_178),X_172),equivalent(equivalent(X_176,equivalent(equivalent(X_178,X_176),X_177)),equivalent(X_179,equivalent(equivalent(equivalent(X_175,equivalent(equivalent(X_174,X_175),X_173)),X_179),equivalent(X_173,X_174))))))),equivalent(X_8,X_9))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_172,equivalent(equivalent(equivalent(X_177,X_178),X_172),equivalent(equivalent(X_176,equivalent(equivalent(X_178,X_176),X_177)),equivalent(X_179,equivalent(equivalent(equivalent(X_175,equivalent(equivalent(X_174,X_175),X_173)),X_179),equivalent(X_173,X_174))))))) )],[refute_0_57,refute_0_51]) ).

cnf(refute_0_59,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)),equivalent(equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391))),equivalent(equivalent(equivalent(X_1388,X_1389),equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)))),equivalent(equivalent(X_1387,equivalent(equivalent(X_1389,X_1387),X_1388)),equivalent(X_1390,equivalent(equivalent(equivalent(X_1386,equivalent(equivalent(X_1385,X_1386),X_1384)),X_1390),equivalent(X_1384,X_1385))))))),equivalent(X_1391,X_1392))),
    inference(subst,[],[refute_0_58:[bind(X_10,$fot(X_1382)),bind(X_172,$fot(equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391))))),bind(X_173,$fot(X_1384)),bind(X_174,$fot(X_1385)),bind(X_175,$fot(X_1386)),bind(X_176,$fot(X_1387)),bind(X_177,$fot(X_1388)),bind(X_178,$fot(X_1389)),bind(X_179,$fot(X_1390)),bind(X_8,$fot(X_1391)),bind(X_9,$fot(X_1392))]]) ).

cnf(refute_0_60,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1388,X_1389),equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)))),equivalent(equivalent(X_1387,equivalent(equivalent(X_1389,X_1387),X_1388)),equivalent(X_1390,equivalent(equivalent(equivalent(X_1386,equivalent(equivalent(X_1385,X_1386),X_1384)),X_1390),equivalent(X_1384,X_1385)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)),equivalent(equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391))),equivalent(equivalent(equivalent(X_1388,X_1389),equivalent(equivalent(X_1391,X_1392),equivalent(X_1382,equivalent(equivalent(X_1392,X_1382),X_1391)))),equivalent(equivalent(X_1387,equivalent(equivalent(X_1389,X_1387),X_1388)),equivalent(X_1390,equivalent(equivalent(equivalent(X_1386,equivalent(equivalent(X_1385,X_1386),X_1384)),X_1390),equivalent(X_1384,X_1385))))))),equivalent(X_1391,X_1392))) )],[refute_0_59,refute_0_50]) ).

cnf(refute_0_61,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),equivalent(equivalent(X_2776,equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774)),equivalent(X_2768,equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),X_2768),X_2776)))),equivalent(equivalent(equivalent(X_2769,X_2770),equivalent(equivalent(X_2774,equivalent(X_2769,X_2770)),equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769))),equivalent(X_2775,equivalent(equivalent(equivalent(equivalent(X_2774,equivalent(X_2769,X_2770)),equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769)),X_2775),equivalent(X_2769,X_2770)))))),
    inference(subst,[],[refute_0_60:[bind(X_1382,$fot(X_2768)),bind(X_1384,$fot(X_2769)),bind(X_1385,$fot(X_2770)),bind(X_1386,$fot(equivalent(X_2774,equivalent(X_2769,X_2770)))),bind(X_1387,$fot(equivalent(X_2769,X_2770))),bind(X_1388,$fot(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769))),bind(X_1389,$fot(X_2774)),bind(X_1390,$fot(X_2775)),bind(X_1391,$fot(X_2776)),bind(X_1392,$fot(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774)))]]) ).

cnf(refute_0_62,plain,
    is_a_theorem(equivalent(equivalent(X_2768,equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),X_2768),X_2776)),X_2776)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),equivalent(equivalent(X_2776,equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774)),equivalent(X_2768,equivalent(equivalent(equivalent(equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769),X_2774),X_2768),X_2776)))),equivalent(equivalent(equivalent(X_2769,X_2770),equivalent(equivalent(X_2774,equivalent(X_2769,X_2770)),equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769))),equivalent(X_2775,equivalent(equivalent(equivalent(equivalent(X_2774,equivalent(X_2769,X_2770)),equivalent(equivalent(X_2770,equivalent(X_2774,equivalent(X_2769,X_2770))),X_2769)),X_2775),equivalent(X_2769,X_2770)))))) )],[refute_0_61,refute_0_25]) ).

cnf(refute_0_63,plain,
    is_a_theorem(equivalent(equivalent(X_2778,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2781,equivalent(X_2779,X_2780))),X_2779),X_2781),X_2778),X_2782)),X_2782)),
    inference(subst,[],[refute_0_62:[bind(X_2768,$fot(X_2778)),bind(X_2769,$fot(X_2779)),bind(X_2770,$fot(X_2780)),bind(X_2774,$fot(X_2781)),bind(X_2776,$fot(X_2782))]]) ).

cnf(refute_0_64,plain,
    ( ~ is_a_theorem(equivalent(X_2778,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2781,equivalent(X_2779,X_2780))),X_2779),X_2781),X_2778),X_2782)))
    | is_a_theorem(X_2782) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_2778,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2781,equivalent(X_2779,X_2780))),X_2779),X_2781),X_2778),X_2782)),X_2782)) )],[refute_0_63,refute_0_17]) ).

cnf(refute_0_65,plain,
    ( ~ is_a_theorem(equivalent(X_2959,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780))),X_2961),X_2961),X_2959),equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780))))))
    | is_a_theorem(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780)))) ),
    inference(subst,[],[refute_0_64:[bind(X_2778,$fot(X_2959)),bind(X_2779,$fot(X_2961)),bind(X_2781,$fot(X_2961)),bind(X_2782,$fot(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780)))))]]) ).

cnf(refute_0_66,plain,
    ( ~ is_a_theorem(equivalent(X_2954,equivalent(equivalent(X_2954,X_2955),X_2955)))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(equivalent(X_2954,X_2955),X_2955),Z),X_2954))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_2954)),bind(Y,$fot(equivalent(equivalent(X_2954,X_2955),X_2955)))]]) ).

cnf(refute_0_67,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_2952,equivalent(equivalent(X_2951,X_2952),equivalent(X_2951,equivalent(equivalent(X_2951,X_2952),X_2952)))),X_2951))
    | is_a_theorem(equivalent(X_2951,equivalent(equivalent(X_2951,X_2952),X_2952))) ),
    inference(subst,[],[refute_0_49:[bind(X_576,$fot(equivalent(X_2951,equivalent(equivalent(X_2951,X_2952),X_2952)))),bind(X_577,$fot(X_2952)),bind(X_578,$fot(X_2951))]]) ).

cnf(refute_0_68,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_2949,X_2947),equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947)))))),equivalent(equivalent(equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947))))),X_2949),equivalent(X_2947,equivalent(equivalent(X_2949,X_2947),equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947))))))))))
    | is_a_theorem(equivalent(equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947)))),X_26)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947))))))),bind(X_22,$fot(X_2949)),bind(X_23,$fot(X_2947)),bind(X_24,$fot(equivalent(X_2949,X_2947))),bind(X_25,$fot(equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947))))))]]) ).

cnf(refute_0_69,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_340,equivalent(X_2945,equivalent(X_339,X_340))),X_339),X_2945)),
    inference(subst,[],[refute_0_41:[bind(X_26,$fot(X_2945))]]) ).

cnf(refute_0_70,plain,
    ( ~ is_a_theorem(equivalent(X_2932,X_2933))
    | ~ is_a_theorem(equivalent(equivalent(X_2932,X_2933),equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934)))))
    | is_a_theorem(equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_2932,X_2933))),bind(Y,$fot(equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934)))))]]) ).

cnf(refute_0_71,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342))
    | is_a_theorem(X_342) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343))),bind(Y,$fot(X_342))]]) ).

cnf(refute_0_72,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343))
    | is_a_theorem(X_342) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342)) )],[refute_0_42,refute_0_71]) ).

cnf(refute_0_73,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),equivalent(equivalent(equivalent(X_2929,X_2930),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931)))),equivalent(equivalent(X_2930,equivalent(equivalent(X_2929,X_2930),equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),X_2930))),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931)))))),equivalent(X_2930,equivalent(equivalent(X_2929,X_2930),equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),X_2930)))))
    | is_a_theorem(equivalent(equivalent(X_2929,X_2930),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))))) ),
    inference(subst,[],[refute_0_72:[bind(X_342,$fot(equivalent(equivalent(X_2929,X_2930),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931)))))),bind(X_343,$fot(equivalent(X_2930,equivalent(equivalent(X_2929,X_2930),equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),X_2930))))),bind(X_344,$fot(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931)))))]]) ).

cnf(refute_0_74,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_405,equivalent(equivalent(X_411,X_405),X_410)),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408)))),equivalent(X_410,X_411)))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_410,X_411),Z),equivalent(equivalent(X_405,equivalent(equivalent(X_411,X_405),X_410)),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408))))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(equivalent(equivalent(X_405,equivalent(equivalent(X_411,X_405),X_410)),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408)))))),bind(Y,$fot(equivalent(X_410,X_411)))]]) ).

cnf(refute_0_75,plain,
    ( ~ is_a_theorem(equivalent(X_345,equivalent(equivalent(X_346,X_345),equivalent(equivalent(X_348,equivalent(X_346,equivalent(X_347,X_348))),X_347))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),equivalent(X_345,equivalent(equivalent(X_346,X_345),equivalent(equivalent(X_348,equivalent(X_346,equivalent(X_347,X_348))),X_347)))),equivalent(X_8,X_9))) ),
    inference(subst,[],[refute_0_20:[bind(X_11,$fot(equivalent(X_345,equivalent(equivalent(X_346,X_345),equivalent(equivalent(X_348,equivalent(X_346,equivalent(X_347,X_348))),X_347)))))]]) ).

cnf(refute_0_76,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(X_342,Z),equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343))),bind(Y,$fot(X_342))]]) ).

cnf(refute_0_77,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(X_342,Z),equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_344,equivalent(X_342,equivalent(X_343,X_344))),X_343),X_342)) )],[refute_0_42,refute_0_76]) ).

cnf(refute_0_78,plain,
    is_a_theorem(equivalent(X_345,equivalent(equivalent(X_346,X_345),equivalent(equivalent(X_348,equivalent(X_346,equivalent(X_347,X_348))),X_347)))),
    inference(subst,[],[refute_0_77:[bind(Z,$fot(X_345)),bind(X_342,$fot(X_346)),bind(X_343,$fot(X_347)),bind(X_344,$fot(X_348))]]) ).

cnf(refute_0_79,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),equivalent(X_345,equivalent(equivalent(X_346,X_345),equivalent(equivalent(X_348,equivalent(X_346,equivalent(X_347,X_348))),X_347)))),equivalent(X_8,X_9))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_345,equivalent(equivalent(X_346,X_345),equivalent(equivalent(X_348,equivalent(X_346,equivalent(X_347,X_348))),X_347)))) )],[refute_0_78,refute_0_75]) ).

cnf(refute_0_80,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_405,equivalent(equivalent(X_411,X_405),X_410)),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408)))),equivalent(X_410,X_411))),
    inference(subst,[],[refute_0_79:[bind(X_10,$fot(X_405)),bind(X_345,$fot(X_406)),bind(X_346,$fot(X_407)),bind(X_347,$fot(X_408)),bind(X_348,$fot(X_409)),bind(X_8,$fot(X_410)),bind(X_9,$fot(X_411))]]) ).

cnf(refute_0_81,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_410,X_411),Z),equivalent(equivalent(X_405,equivalent(equivalent(X_411,X_405),X_410)),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408))))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_405,equivalent(equivalent(X_411,X_405),X_410)),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408)))),equivalent(X_410,X_411))) )],[refute_0_80,refute_0_74]) ).

cnf(refute_0_82,plain,
    is_a_theorem(equivalent(X_2840,equivalent(equivalent(equivalent(equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841),X_2843),X_2840),equivalent(equivalent(X_405,equivalent(equivalent(X_2843,X_405),equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841))),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408))))))),
    inference(subst,[],[refute_0_81:[bind(Z,$fot(X_2840)),bind(X_410,$fot(equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841))),bind(X_411,$fot(X_2843))]]) ).

cnf(refute_0_83,plain,
    ( ~ is_a_theorem(equivalent(X_2840,equivalent(equivalent(equivalent(equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841),X_2843),X_2840),equivalent(equivalent(X_405,equivalent(equivalent(X_2843,X_405),equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841))),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408)))))))
    | is_a_theorem(equivalent(equivalent(X_405,equivalent(equivalent(X_2843,X_405),equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841))),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408))))) ),
    inference(subst,[],[refute_0_64:[bind(X_2778,$fot(X_2840)),bind(X_2779,$fot(X_2841)),bind(X_2780,$fot(X_2842)),bind(X_2781,$fot(X_2843)),bind(X_2782,$fot(equivalent(equivalent(X_405,equivalent(equivalent(X_2843,X_405),equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841))),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408))))))]]) ).

cnf(refute_0_84,plain,
    is_a_theorem(equivalent(equivalent(X_405,equivalent(equivalent(X_2843,X_405),equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841))),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2840,equivalent(equivalent(equivalent(equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841),X_2843),X_2840),equivalent(equivalent(X_405,equivalent(equivalent(X_2843,X_405),equivalent(equivalent(X_2842,equivalent(X_2843,equivalent(X_2841,X_2842))),X_2841))),equivalent(X_406,equivalent(equivalent(X_407,X_406),equivalent(equivalent(X_409,equivalent(X_407,equivalent(X_408,X_409))),X_408))))))) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),equivalent(equivalent(equivalent(X_2929,X_2930),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931)))),equivalent(equivalent(X_2930,equivalent(equivalent(X_2929,X_2930),equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),X_2930))),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931)))))),equivalent(X_2930,equivalent(equivalent(X_2929,X_2930),equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),X_2930))))),
    inference(subst,[],[refute_0_84:[bind(X_2841,$fot(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))))),bind(X_2842,$fot(X_2930)),bind(X_2843,$fot(equivalent(X_2929,X_2930))),bind(X_405,$fot(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))))),bind(X_406,$fot(X_2930)),bind(X_407,$fot(X_2929)),bind(X_408,$fot(X_2930)),bind(X_409,$fot(X_2931))]]) ).

cnf(refute_0_86,plain,
    is_a_theorem(equivalent(equivalent(X_2929,X_2930),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),equivalent(equivalent(equivalent(X_2929,X_2930),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931)))),equivalent(equivalent(X_2930,equivalent(equivalent(X_2929,X_2930),equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),X_2930))),equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931)))))),equivalent(X_2930,equivalent(equivalent(X_2929,X_2930),equivalent(equivalent(X_2931,equivalent(X_2929,equivalent(X_2930,X_2931))),X_2930))))) )],[refute_0_85,refute_0_73]) ).

cnf(refute_0_87,plain,
    is_a_theorem(equivalent(equivalent(X_2932,X_2933),equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934))))),
    inference(subst,[],[refute_0_86:[bind(X_2929,$fot(X_2932)),bind(X_2930,$fot(X_2933)),bind(X_2931,$fot(X_2934))]]) ).

cnf(refute_0_88,plain,
    ( ~ is_a_theorem(equivalent(X_2932,X_2933))
    | is_a_theorem(equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934)))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_2932,X_2933),equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934))))) )],[refute_0_87,refute_0_70]) ).

cnf(refute_0_89,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_340,equivalent(X_2945,equivalent(X_339,X_340))),X_339),X_2945))
    | is_a_theorem(equivalent(X_2946,equivalent(equivalent(equivalent(X_340,equivalent(X_2945,equivalent(X_339,X_340))),X_339),equivalent(X_2945,X_2946)))) ),
    inference(subst,[],[refute_0_88:[bind(X_2932,$fot(equivalent(equivalent(X_340,equivalent(X_2945,equivalent(X_339,X_340))),X_339))),bind(X_2933,$fot(X_2945)),bind(X_2934,$fot(X_2946))]]) ).

cnf(refute_0_90,plain,
    is_a_theorem(equivalent(X_2946,equivalent(equivalent(equivalent(X_340,equivalent(X_2945,equivalent(X_339,X_340))),X_339),equivalent(X_2945,X_2946)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_340,equivalent(X_2945,equivalent(X_339,X_340))),X_339),X_2945)) )],[refute_0_69,refute_0_89]) ).

cnf(refute_0_91,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2949,X_2947),equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947)))))),equivalent(equivalent(equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947))))),X_2949),equivalent(X_2947,equivalent(equivalent(X_2949,X_2947),equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947)))))))))),
    inference(subst,[],[refute_0_90:[bind(X_2945,$fot(X_2947)),bind(X_2946,$fot(equivalent(equivalent(X_2949,X_2947),equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947)))))))),bind(X_339,$fot(X_2949)),bind(X_340,$fot(equivalent(X_26,equivalent(X_2949,X_2947))))]]) ).

cnf(refute_0_92,plain,
    is_a_theorem(equivalent(equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947)))),X_26)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_2949,X_2947),equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947)))))),equivalent(equivalent(equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947))))),X_2949),equivalent(X_2947,equivalent(equivalent(X_2949,X_2947),equivalent(equivalent(X_26,equivalent(X_2949,X_2947)),equivalent(X_2947,equivalent(X_2949,equivalent(X_26,equivalent(X_2949,X_2947)))))))))) )],[refute_0_91,refute_0_68]) ).

cnf(refute_0_93,plain,
    is_a_theorem(equivalent(equivalent(X_2952,equivalent(equivalent(X_2951,X_2952),equivalent(X_2951,equivalent(equivalent(X_2951,X_2952),X_2952)))),X_2951)),
    inference(subst,[],[refute_0_92:[bind(X_26,$fot(X_2951)),bind(X_2947,$fot(X_2952)),bind(X_2949,$fot(equivalent(X_2951,X_2952)))]]) ).

cnf(refute_0_94,plain,
    is_a_theorem(equivalent(X_2951,equivalent(equivalent(X_2951,X_2952),X_2952))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_2952,equivalent(equivalent(X_2951,X_2952),equivalent(X_2951,equivalent(equivalent(X_2951,X_2952),X_2952)))),X_2951)) )],[refute_0_93,refute_0_67]) ).

cnf(refute_0_95,plain,
    is_a_theorem(equivalent(X_2954,equivalent(equivalent(X_2954,X_2955),X_2955))),
    inference(subst,[],[refute_0_94:[bind(X_2951,$fot(X_2954)),bind(X_2952,$fot(X_2955))]]) ).

cnf(refute_0_96,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(equivalent(X_2954,X_2955),X_2955),Z),X_2954))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2954,equivalent(equivalent(X_2954,X_2955),X_2955))) )],[refute_0_95,refute_0_66]) ).

cnf(refute_0_97,plain,
    is_a_theorem(equivalent(X_2959,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780))),X_2961),X_2961),X_2959),equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780)))))),
    inference(subst,[],[refute_0_96:[bind(Z,$fot(X_2959)),bind(X_2954,$fot(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780))))),bind(X_2955,$fot(X_2961))]]) ).

cnf(refute_0_98,plain,
    is_a_theorem(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2959,equivalent(equivalent(equivalent(equivalent(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780))),X_2961),X_2961),X_2959),equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780)))))) )],[refute_0_97,refute_0_65]) ).

cnf(refute_0_99,plain,
    ( ~ is_a_theorem(X_2962)
    | ~ is_a_theorem(equivalent(X_2962,equivalent(X_2963,equivalent(X_2963,X_2962))))
    | is_a_theorem(equivalent(X_2963,equivalent(X_2963,X_2962))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2962)),bind(Y,$fot(equivalent(X_2963,equivalent(X_2963,X_2962))))]]) ).

cnf(refute_0_100,plain,
    is_a_theorem(equivalent(X_2962,equivalent(X_2963,equivalent(X_2963,X_2962)))),
    inference(subst,[],[refute_0_98:[bind(X_2780,$fot(X_2962)),bind(X_2961,$fot(X_2963))]]) ).

cnf(refute_0_101,plain,
    ( ~ is_a_theorem(X_2962)
    | is_a_theorem(equivalent(X_2963,equivalent(X_2963,X_2962))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2962,equivalent(X_2963,equivalent(X_2963,X_2962)))) )],[refute_0_100,refute_0_99]) ).

cnf(refute_0_102,plain,
    ( ~ is_a_theorem(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780))))
    | is_a_theorem(equivalent(X_2987,equivalent(X_2987,equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780)))))) ),
    inference(subst,[],[refute_0_101:[bind(X_2962,$fot(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780))))),bind(X_2963,$fot(X_2987))]]) ).

cnf(refute_0_103,plain,
    is_a_theorem(equivalent(X_2987,equivalent(X_2987,equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2780,equivalent(X_2961,equivalent(X_2961,X_2780)))) )],[refute_0_98,refute_0_102]) ).

cnf(refute_0_104,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(X_72,X_73)),equivalent(equivalent(equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(X_72,X_73)),equivalent(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72),equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72))))))),
    inference(subst,[],[refute_0_103:[bind(X_2780,$fot(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72))),bind(X_2961,$fot(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)))),bind(X_2987,$fot(equivalent(equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(X_72,X_73))))]]) ).

cnf(refute_0_105,plain,
    is_a_theorem(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(X_72,X_73)),equivalent(equivalent(equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(X_72,X_73)),equivalent(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72),equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(equivalent(X_72,X_73),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)),equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72))))))) )],[refute_0_104,refute_0_16]) ).

cnf(refute_0_106,plain,
    is_a_theorem(equivalent(equivalent(X_3011,equivalent(X_3010,X_3011)),X_3010)),
    inference(subst,[],[refute_0_105:[bind(X_72,$fot(X_3010)),bind(X_73,$fot(X_3011))]]) ).

cnf(refute_0_107,plain,
    ( ~ is_a_theorem(equivalent(X_3011,equivalent(X_3010,X_3011)))
    | is_a_theorem(X_3010) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3011,equivalent(X_3010,X_3011)),X_3010)) )],[refute_0_106,refute_0_0]) ).

cnf(refute_0_108,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))),equivalent(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))),equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))))))
    | is_a_theorem(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927)))) ),
    inference(subst,[],[refute_0_107:[bind(X_3010,$fot(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))))),bind(X_3011,$fot(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927)))))]]) ).

cnf(refute_0_109,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1008,equivalent(equivalent(X_1011,X_1008),X_1010)),X_1009),equivalent(X_1010,X_1011)),X_1007),X_1009),equivalent(equivalent(X_1004,X_1005),equivalent(X_1006,equivalent(equivalent(X_1005,X_1006),X_1004)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1008,equivalent(equivalent(X_1011,X_1008),X_1010)),X_1009),equivalent(X_1010,X_1011)),X_1007),X_1009),equivalent(equivalent(X_1004,X_1005),equivalent(X_1006,equivalent(equivalent(X_1005,X_1006),X_1004)))),X_1007))
    | is_a_theorem(X_1007) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1008,equivalent(equivalent(X_1011,X_1008),X_1010)),X_1009),equivalent(X_1010,X_1011)),X_1007),X_1009),equivalent(equivalent(X_1004,X_1005),equivalent(X_1006,equivalent(equivalent(X_1005,X_1006),X_1004)))))),bind(Y,$fot(X_1007))]]) ).

cnf(refute_0_110,plain,
    ( ~ is_a_theorem(X_27)
    | ~ is_a_theorem(equivalent(X_27,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_29,equivalent(equivalent(X_32,X_29),X_31)),X_30),equivalent(X_31,X_32)),X_28),X_30),X_27),X_28)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_29,equivalent(equivalent(X_32,X_29),X_31)),X_30),equivalent(X_31,X_32)),X_28),X_30),X_27),X_28)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_27)),bind(Y,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_29,equivalent(equivalent(X_32,X_29),X_31)),X_30),equivalent(X_31,X_32)),X_28),X_30),X_27),X_28)))]]) ).

cnf(refute_0_111,plain,
    ( ~ is_a_theorem(equivalent(X_12,equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14)))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14),Z),X_12))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_12)),bind(Y,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14)))]]) ).

cnf(refute_0_112,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14),Z),X_12))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_12,equivalent(equivalent(equivalent(equivalent(equivalent(X_13,equivalent(equivalent(X_16,X_13),X_15)),X_14),equivalent(X_15,X_16)),X_12),X_14))) )],[refute_0_10,refute_0_111]) ).

cnf(refute_0_113,plain,
    is_a_theorem(equivalent(X_27,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_29,equivalent(equivalent(X_32,X_29),X_31)),X_30),equivalent(X_31,X_32)),X_28),X_30),X_27),X_28))),
    inference(subst,[],[refute_0_112:[bind(Z,$fot(X_27)),bind(X_12,$fot(X_28)),bind(X_13,$fot(X_29)),bind(X_14,$fot(X_30)),bind(X_15,$fot(X_31)),bind(X_16,$fot(X_32))]]) ).

cnf(refute_0_114,plain,
    ( ~ is_a_theorem(X_27)
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_29,equivalent(equivalent(X_32,X_29),X_31)),X_30),equivalent(X_31,X_32)),X_28),X_30),X_27),X_28)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_27,equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_29,equivalent(equivalent(X_32,X_29),X_31)),X_30),equivalent(X_31,X_32)),X_28),X_30),X_27),X_28))) )],[refute_0_113,refute_0_110]) ).

cnf(refute_0_115,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_207,equivalent(equivalent(X_210,X_207),X_209)),X_208),equivalent(X_209,X_210)),X_206),X_208),equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))),X_206)) ),
    inference(subst,[],[refute_0_114:[bind(X_27,$fot(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X))))),bind(X_28,$fot(X_206)),bind(X_29,$fot(X_207)),bind(X_30,$fot(X_208)),bind(X_31,$fot(X_209)),bind(X_32,$fot(X_210))]]) ).

cnf(refute_0_116,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_207,equivalent(equivalent(X_210,X_207),X_209)),X_208),equivalent(X_209,X_210)),X_206),X_208),equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))),X_206)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,Z),X)))) )],[yrm,refute_0_115]) ).

cnf(refute_0_117,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1008,equivalent(equivalent(X_1011,X_1008),X_1010)),X_1009),equivalent(X_1010,X_1011)),X_1007),X_1009),equivalent(equivalent(X_1004,X_1005),equivalent(X_1006,equivalent(equivalent(X_1005,X_1006),X_1004)))),X_1007)),
    inference(subst,[],[refute_0_116:[bind(X,$fot(X_1004)),bind(Y,$fot(X_1005)),bind(Z,$fot(X_1006)),bind(X_206,$fot(X_1007)),bind(X_207,$fot(X_1008)),bind(X_208,$fot(X_1009)),bind(X_209,$fot(X_1010)),bind(X_210,$fot(X_1011))]]) ).

cnf(refute_0_118,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1008,equivalent(equivalent(X_1011,X_1008),X_1010)),X_1009),equivalent(X_1010,X_1011)),X_1007),X_1009),equivalent(equivalent(X_1004,X_1005),equivalent(X_1006,equivalent(equivalent(X_1005,X_1006),X_1004)))))
    | is_a_theorem(X_1007) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1008,equivalent(equivalent(X_1011,X_1008),X_1010)),X_1009),equivalent(X_1010,X_1011)),X_1007),X_1009),equivalent(equivalent(X_1004,X_1005),equivalent(X_1006,equivalent(equivalent(X_1005,X_1006),X_1004)))),X_1007)) )],[refute_0_117,refute_0_109]) ).

cnf(refute_0_119,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_26079,equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)))),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))),equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)),equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))),equivalent(equivalent(X_26079,equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)))),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)) ),
    inference(subst,[],[refute_0_118:[bind(X_1004,$fot(X_26079)),bind(X_1005,$fot(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))))),bind(X_1006,$fot(X_26081)),bind(X_1007,$fot(equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011))),bind(X_1008,$fot(X_26079)),bind(X_1009,$fot(equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079)))),bind(X_1010,$fot(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))))]]) ).

cnf(refute_0_120,plain,
    ( ~ is_a_theorem(X_2959)
    | ~ is_a_theorem(equivalent(X_2959,equivalent(equivalent(equivalent(equivalent(X_2960,X_2961),X_2961),X_2959),X_2960)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2960,X_2961),X_2961),X_2959),X_2960)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2959)),bind(Y,$fot(equivalent(equivalent(equivalent(equivalent(X_2960,X_2961),X_2961),X_2959),X_2960)))]]) ).

cnf(refute_0_121,plain,
    is_a_theorem(equivalent(X_2959,equivalent(equivalent(equivalent(equivalent(X_2960,X_2961),X_2961),X_2959),X_2960))),
    inference(subst,[],[refute_0_96:[bind(Z,$fot(X_2959)),bind(X_2954,$fot(X_2960)),bind(X_2955,$fot(X_2961))]]) ).

cnf(refute_0_122,plain,
    ( ~ is_a_theorem(X_2959)
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2960,X_2961),X_2961),X_2959),X_2960)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2959,equivalent(equivalent(equivalent(equivalent(X_2960,X_2961),X_2961),X_2959),X_2960))) )],[refute_0_121,refute_0_120]) ).

cnf(refute_0_123,plain,
    ( ~ is_a_theorem(equivalent(X_22186,equivalent(equivalent(equivalent(X_22184,equivalent(equivalent(X_22185,X_22184),equivalent(X_22183,X_22186))),X_22185),X_22183)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2960,X_2961),X_2961),equivalent(X_22186,equivalent(equivalent(equivalent(X_22184,equivalent(equivalent(X_22185,X_22184),equivalent(X_22183,X_22186))),X_22185),X_22183))),X_2960)) ),
    inference(subst,[],[refute_0_122:[bind(X_2959,$fot(equivalent(X_22186,equivalent(equivalent(equivalent(X_22184,equivalent(equivalent(X_22185,X_22184),equivalent(X_22183,X_22186))),X_22185),X_22183))))]]) ).

cnf(refute_0_124,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_11611,equivalent(X_11611,equivalent(X_11612,X_11610))),X_11610))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_11611,equivalent(X_11611,equivalent(X_11612,X_11610))),X_11610),X_11612))
    | is_a_theorem(X_11612) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_11611,equivalent(X_11611,equivalent(X_11612,X_11610))),X_11610))),bind(Y,$fot(X_11612))]]) ).

cnf(refute_0_125,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3085,X_3085),X_3084))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_3085,X_3085),X_3084),X_3084))
    | is_a_theorem(X_3084) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_3085,X_3085),X_3084))),bind(Y,$fot(X_3084))]]) ).

cnf(refute_0_126,plain,
    ( ~ is_a_theorem(X_2954)
    | ~ is_a_theorem(equivalent(X_2954,equivalent(equivalent(X_2954,X_2955),X_2955)))
    | is_a_theorem(equivalent(equivalent(X_2954,X_2955),X_2955)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2954)),bind(Y,$fot(equivalent(equivalent(X_2954,X_2955),X_2955)))]]) ).

cnf(refute_0_127,plain,
    ( ~ is_a_theorem(X_2954)
    | is_a_theorem(equivalent(equivalent(X_2954,X_2955),X_2955)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2954,equivalent(equivalent(X_2954,X_2955),X_2955))) )],[refute_0_95,refute_0_126]) ).

cnf(refute_0_128,plain,
    ( ~ is_a_theorem(equivalent(X_3081,X_3081))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3081,X_3081),X_2955),X_2955)) ),
    inference(subst,[],[refute_0_127:[bind(X_2954,$fot(equivalent(X_3081,X_3081)))]]) ).

cnf(refute_0_129,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_25,X_25),equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25)),equivalent(equivalent(equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25),X_25),equivalent(X_25,equivalent(equivalent(X_25,X_25),equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25))))))
    | is_a_theorem(equivalent(X_25,X_25)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25))),bind(X_22,$fot(X_25)),bind(X_23,$fot(X_25)),bind(X_24,$fot(equivalent(X_25,X_25))),bind(X_26,$fot(X_25))]]) ).

cnf(refute_0_130,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3033,equivalent(X_3032,X_3033)),X_3032),X_3031),X_3031))
    | is_a_theorem(equivalent(X_2934,equivalent(equivalent(equivalent(equivalent(X_3033,equivalent(X_3032,X_3033)),X_3032),X_3031),equivalent(X_3031,X_2934)))) ),
    inference(subst,[],[refute_0_88:[bind(X_2932,$fot(equivalent(equivalent(equivalent(X_3033,equivalent(X_3032,X_3033)),X_3032),X_3031))),bind(X_2933,$fot(X_3031))]]) ).

cnf(refute_0_131,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72),X_3024),X_3024)) ),
    inference(subst,[],[refute_0_127:[bind(X_2954,$fot(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72))),bind(X_2955,$fot(X_3024))]]) ).

cnf(refute_0_132,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72),X_3024),X_3024)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_73,equivalent(X_72,X_73)),X_72)) )],[refute_0_105,refute_0_131]) ).

cnf(refute_0_133,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3033,equivalent(X_3032,X_3033)),X_3032),X_3031),X_3031)),
    inference(subst,[],[refute_0_132:[bind(X_3024,$fot(X_3031)),bind(X_72,$fot(X_3032)),bind(X_73,$fot(X_3033))]]) ).

cnf(refute_0_134,plain,
    is_a_theorem(equivalent(X_2934,equivalent(equivalent(equivalent(equivalent(X_3033,equivalent(X_3032,X_3033)),X_3032),X_3031),equivalent(X_3031,X_2934)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3033,equivalent(X_3032,X_3033)),X_3032),X_3031),X_3031)) )],[refute_0_133,refute_0_130]) ).

cnf(refute_0_135,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_25,X_25),equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25)),equivalent(equivalent(equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25),X_25),equivalent(X_25,equivalent(equivalent(X_25,X_25),equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25)))))),
    inference(subst,[],[refute_0_134:[bind(X_2934,$fot(equivalent(equivalent(X_25,X_25),equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25)))),bind(X_3031,$fot(X_25)),bind(X_3032,$fot(X_25)),bind(X_3033,$fot(X_25))]]) ).

cnf(refute_0_136,plain,
    is_a_theorem(equivalent(X_25,X_25)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_25,X_25),equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25)),equivalent(equivalent(equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25),X_25),equivalent(X_25,equivalent(equivalent(X_25,X_25),equivalent(equivalent(X_25,equivalent(X_25,X_25)),X_25)))))) )],[refute_0_135,refute_0_129]) ).

cnf(refute_0_137,plain,
    is_a_theorem(equivalent(X_3081,X_3081)),
    inference(subst,[],[refute_0_136:[bind(X_25,$fot(X_3081))]]) ).

cnf(refute_0_138,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3081,X_3081),X_2955),X_2955)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_3081,X_3081)) )],[refute_0_137,refute_0_128]) ).

cnf(refute_0_139,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3085,X_3085),X_3084),X_3084)),
    inference(subst,[],[refute_0_138:[bind(X_2955,$fot(X_3084)),bind(X_3081,$fot(X_3085))]]) ).

cnf(refute_0_140,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3085,X_3085),X_3084))
    | is_a_theorem(X_3084) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3085,X_3085),X_3084),X_3084)) )],[refute_0_139,refute_0_125]) ).

cnf(refute_0_141,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_11604,equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),equivalent(X_11608,X_11604))),equivalent(X_11604,equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),equivalent(X_11608,X_11604)))),equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),X_11608)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),X_11608)) ),
    inference(subst,[],[refute_0_140:[bind(X_3084,$fot(equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),X_11608))),bind(X_3085,$fot(equivalent(X_11604,equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),equivalent(X_11608,X_11604)))))]]) ).

cnf(refute_0_142,plain,
    ( ~ is_a_theorem(equivalent(X_2962,equivalent(X_2963,equivalent(X_2963,X_2962))))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_2962)),bind(Y,$fot(equivalent(X_2963,equivalent(X_2963,X_2962))))]]) ).

cnf(refute_0_143,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2962,equivalent(X_2963,equivalent(X_2963,X_2962)))) )],[refute_0_100,refute_0_142]) ).

cnf(refute_0_144,plain,
    ( ~ is_a_theorem(X_2935)
    | ~ is_a_theorem(equivalent(X_2935,equivalent(equivalent(equivalent(X_2938,equivalent(X_2936,equivalent(X_2937,X_2938))),X_2935),equivalent(X_2936,X_2937))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_2938,equivalent(X_2936,equivalent(X_2937,X_2938))),X_2935),equivalent(X_2936,X_2937))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_2935)),bind(Y,$fot(equivalent(equivalent(equivalent(X_2938,equivalent(X_2936,equivalent(X_2937,X_2938))),X_2935),equivalent(X_2936,X_2937))))]]) ).

cnf(refute_0_145,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_2932,X_2933),equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934)))))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934))),Z),equivalent(X_2932,X_2933)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(equivalent(X_2932,X_2933))),bind(Y,$fot(equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934)))))]]) ).

cnf(refute_0_146,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934))),Z),equivalent(X_2932,X_2933)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_2932,X_2933),equivalent(X_2934,equivalent(X_2932,equivalent(X_2933,X_2934))))) )],[refute_0_87,refute_0_145]) ).

cnf(refute_0_147,plain,
    is_a_theorem(equivalent(X_2935,equivalent(equivalent(equivalent(X_2938,equivalent(X_2936,equivalent(X_2937,X_2938))),X_2935),equivalent(X_2936,X_2937)))),
    inference(subst,[],[refute_0_146:[bind(Z,$fot(X_2935)),bind(X_2932,$fot(X_2936)),bind(X_2933,$fot(X_2937)),bind(X_2934,$fot(X_2938))]]) ).

cnf(refute_0_148,plain,
    ( ~ is_a_theorem(X_2935)
    | is_a_theorem(equivalent(equivalent(equivalent(X_2938,equivalent(X_2936,equivalent(X_2937,X_2938))),X_2935),equivalent(X_2936,X_2937))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_2935,equivalent(equivalent(equivalent(X_2938,equivalent(X_2936,equivalent(X_2937,X_2938))),X_2935),equivalent(X_2936,X_2937)))) )],[refute_0_147,refute_0_144]) ).

cnf(refute_0_149,plain,
    ( ~ is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3281,equivalent(X_3279,equivalent(X_3280,X_3281))),equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962))),equivalent(X_3279,X_3280))) ),
    inference(subst,[],[refute_0_148:[bind(X_2935,$fot(equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962)))),bind(X_2936,$fot(X_3279)),bind(X_2937,$fot(X_3280)),bind(X_2938,$fot(X_3281))]]) ).

cnf(refute_0_150,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3281,equivalent(X_3279,equivalent(X_3280,X_3281))),equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962))),equivalent(X_3279,X_3280))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962))) )],[refute_0_143,refute_0_149]) ).

cnf(refute_0_151,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_11604,equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),equivalent(X_11608,X_11604))),equivalent(X_11604,equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),equivalent(X_11608,X_11604)))),equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),X_11608))),
    inference(subst,[],[refute_0_150:[bind(Z,$fot(X_11604)),bind(X_2962,$fot(equivalent(X_11608,X_11604))),bind(X_2963,$fot(X_11606)),bind(X_3279,$fot(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604))),bind(X_3280,$fot(X_11608)),bind(X_3281,$fot(X_11604))]]) ).

cnf(refute_0_152,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),X_11608)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_11604,equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),equivalent(X_11608,X_11604))),equivalent(X_11604,equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),equivalent(X_11608,X_11604)))),equivalent(equivalent(equivalent(X_11606,equivalent(X_11606,equivalent(X_11608,X_11604))),X_11604),X_11608))) )],[refute_0_151,refute_0_141]) ).

cnf(refute_0_153,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_11611,equivalent(X_11611,equivalent(X_11612,X_11610))),X_11610),X_11612)),
    inference(subst,[],[refute_0_152:[bind(X_11604,$fot(X_11610)),bind(X_11606,$fot(X_11611)),bind(X_11608,$fot(X_11612))]]) ).

cnf(refute_0_154,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_11611,equivalent(X_11611,equivalent(X_11612,X_11610))),X_11610))
    | is_a_theorem(X_11612) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_11611,equivalent(X_11611,equivalent(X_11612,X_11610))),X_11610),X_11612)) )],[refute_0_153,refute_0_124]) ).

cnf(refute_0_155,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830),equivalent(equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830),equivalent(equivalent(X_21834,equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830)),X_21830))),X_21830))
    | is_a_theorem(equivalent(X_21834,equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830))) ),
    inference(subst,[],[refute_0_154:[bind(X_11610,$fot(X_21830)),bind(X_11611,$fot(equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830))),bind(X_11612,$fot(equivalent(X_21834,equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830))))]]) ).

cnf(refute_0_156,plain,
    ( ~ is_a_theorem(equivalent(X_7688,X_7689))
    | ~ is_a_theorem(equivalent(equivalent(X_7688,X_7689),equivalent(X_7689,X_7688)))
    | is_a_theorem(equivalent(X_7689,X_7688)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_7688,X_7689))),bind(Y,$fot(equivalent(X_7689,X_7688)))]]) ).

cnf(refute_0_157,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))),equivalent(X_44,X_45)))
    | is_a_theorem(equivalent(X_44,X_45)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))))),bind(Y,$fot(equivalent(X_44,X_45)))]]) ).

cnf(refute_0_158,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))))
    | is_a_theorem(equivalent(X_44,X_45)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_43,equivalent(equivalent(X_45,X_43),X_44)),equivalent(X_46,equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_41,X_42),X_40)),X_46),equivalent(X_40,X_41)))),equivalent(X_44,X_45))) )],[refute_0_55,refute_0_157]) ).

cnf(refute_0_159,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41))),equivalent(equivalent(equivalent(X_40,X_41),equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41)))),equivalent(equivalent(equivalent(X_40,equivalent(equivalent(X_41,X_40),X_40)),equivalent(equivalent(X_40,X_41),equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41))))),equivalent(X_40,X_41)))))
    | is_a_theorem(equivalent(equivalent(X_40,X_41),equivalent(X_41,X_40))) ),
    inference(subst,[],[refute_0_158:[bind(X_42,$fot(X_40)),bind(X_43,$fot(X_40)),bind(X_44,$fot(equivalent(X_40,X_41))),bind(X_45,$fot(equivalent(X_41,X_40))),bind(X_46,$fot(equivalent(equivalent(X_40,X_41),equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41))))))]]) ).

cnf(refute_0_160,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_7670,X_7671),equivalent(X_7672,equivalent(X_7670,equivalent(X_7671,X_7672)))),X_7669),X_7669))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(X_7669,Z),equivalent(equivalent(equivalent(X_7670,X_7671),equivalent(X_7672,equivalent(X_7670,equivalent(X_7671,X_7672)))),X_7669)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(equivalent(equivalent(equivalent(X_7670,X_7671),equivalent(X_7672,equivalent(X_7670,equivalent(X_7671,X_7672)))),X_7669))),bind(Y,$fot(X_7669))]]) ).

cnf(refute_0_161,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3194,X_3195),X_3195))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194))
    | is_a_theorem(X_3194) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_3194,X_3195),X_3195))),bind(Y,$fot(X_3194))]]) ).

cnf(refute_0_162,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3191,equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191))),equivalent(equivalent(X_3191,equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191))),equivalent(X_3190,equivalent(equivalent(equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191)),X_3190),X_3191)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_26,X_3191),X_3191),X_26)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(X_3191)),bind(X_22,$fot(equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191)))),bind(X_23,$fot(X_3190)),bind(X_24,$fot(X_3191)),bind(X_25,$fot(equivalent(equivalent(X_26,X_3191),X_3191)))]]) ).

cnf(refute_0_163,plain,
    ( ~ is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962)))
    | is_a_theorem(equivalent(X_2987,equivalent(X_2987,equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962))))) ),
    inference(subst,[],[refute_0_101:[bind(X_2962,$fot(equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962)))),bind(X_2963,$fot(X_2987))]]) ).

cnf(refute_0_164,plain,
    is_a_theorem(equivalent(X_2987,equivalent(X_2987,equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(X_2963,equivalent(X_2963,X_2962)),Z),X_2962))) )],[refute_0_143,refute_0_163]) ).

cnf(refute_0_165,plain,
    is_a_theorem(equivalent(equivalent(X_3191,equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191))),equivalent(equivalent(X_3191,equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191))),equivalent(X_3190,equivalent(equivalent(equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191)),X_3190),X_3191))))),
    inference(subst,[],[refute_0_164:[bind(Z,$fot(X_3190)),bind(X_2962,$fot(X_3191)),bind(X_2963,$fot(equivalent(X_26,X_3191))),bind(X_2987,$fot(equivalent(X_3191,equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191)))))]]) ).

cnf(refute_0_166,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_26,X_3191),X_3191),X_26)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3191,equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191))),equivalent(equivalent(X_3191,equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191))),equivalent(X_3190,equivalent(equivalent(equivalent(equivalent(X_26,X_3191),equivalent(equivalent(X_26,X_3191),X_3191)),X_3190),X_3191))))) )],[refute_0_165,refute_0_162]) ).

cnf(refute_0_167,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194)),
    inference(subst,[],[refute_0_166:[bind(X_26,$fot(X_3194)),bind(X_3191,$fot(X_3195))]]) ).

cnf(refute_0_168,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3194,X_3195),X_3195))
    | is_a_theorem(X_3194) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194)) )],[refute_0_167,refute_0_161]) ).

cnf(refute_0_169,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))),X_7665),X_7665),equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668))))),equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))),X_7665),X_7665)) ),
    inference(subst,[],[refute_0_168:[bind(X_3194,$fot(equivalent(equivalent(equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))),X_7665),X_7665))),bind(X_3195,$fot(equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668))))))]]) ).

cnf(refute_0_170,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646))),equivalent(equivalent(equivalent(equivalent(equivalent(X_7642,X_7643),X_7643),X_7642),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646))))),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646)))))),equivalent(X_7644,X_7645)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_7642,X_7643),X_7643),X_7642),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646)))))) ),
    inference(subst,[],[refute_0_72:[bind(X_342,$fot(equivalent(equivalent(equivalent(equivalent(X_7642,X_7643),X_7643),X_7642),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646))))))),bind(X_343,$fot(equivalent(X_7644,X_7645))),bind(X_344,$fot(equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646)))))]]) ).

cnf(refute_0_171,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194),X_2955),X_2955)) ),
    inference(subst,[],[refute_0_127:[bind(X_2954,$fot(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194)))]]) ).

cnf(refute_0_172,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194),X_2955),X_2955)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194)) )],[refute_0_167,refute_0_171]) ).

cnf(refute_0_173,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194),X_2955),X_2955))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3281,equivalent(X_3279,equivalent(X_3280,X_3281))),equivalent(equivalent(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194),X_2955),X_2955)),equivalent(X_3279,X_3280))) ),
    inference(subst,[],[refute_0_148:[bind(X_2935,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194),X_2955),X_2955))),bind(X_2936,$fot(X_3279)),bind(X_2937,$fot(X_3280)),bind(X_2938,$fot(X_3281))]]) ).

cnf(refute_0_174,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3281,equivalent(X_3279,equivalent(X_3280,X_3281))),equivalent(equivalent(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194),X_2955),X_2955)),equivalent(X_3279,X_3280))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3194,X_3195),X_3195),X_3194),X_2955),X_2955)) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646))),equivalent(equivalent(equivalent(equivalent(equivalent(X_7642,X_7643),X_7643),X_7642),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646))))),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646)))))),equivalent(X_7644,X_7645))),
    inference(subst,[],[refute_0_174:[bind(X_2955,$fot(equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646)))))),bind(X_3194,$fot(X_7642)),bind(X_3195,$fot(X_7643)),bind(X_3279,$fot(X_7644)),bind(X_3280,$fot(X_7645)),bind(X_3281,$fot(X_7646))]]) ).

cnf(refute_0_176,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_7642,X_7643),X_7643),X_7642),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646))),equivalent(equivalent(equivalent(equivalent(equivalent(X_7642,X_7643),X_7643),X_7642),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646))))),equivalent(equivalent(X_7644,X_7645),equivalent(X_7646,equivalent(X_7644,equivalent(X_7645,X_7646)))))),equivalent(X_7644,X_7645))) )],[refute_0_175,refute_0_170]) ).

cnf(refute_0_177,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))),X_7665),X_7665),equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668))))),equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))))),
    inference(subst,[],[refute_0_176:[bind(X_7642,$fot(equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))))),bind(X_7643,$fot(X_7665)),bind(X_7644,$fot(X_7666)),bind(X_7645,$fot(X_7667)),bind(X_7646,$fot(X_7668))]]) ).

cnf(refute_0_178,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))),X_7665),X_7665)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))),X_7665),X_7665),equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668))))),equivalent(equivalent(X_7666,X_7667),equivalent(X_7668,equivalent(X_7666,equivalent(X_7667,X_7668)))))) )],[refute_0_177,refute_0_169]) ).

cnf(refute_0_179,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_7670,X_7671),equivalent(X_7672,equivalent(X_7670,equivalent(X_7671,X_7672)))),X_7669),X_7669)),
    inference(subst,[],[refute_0_178:[bind(X_7665,$fot(X_7669)),bind(X_7666,$fot(X_7670)),bind(X_7667,$fot(X_7671)),bind(X_7668,$fot(X_7672))]]) ).

cnf(refute_0_180,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(X_7669,Z),equivalent(equivalent(equivalent(X_7670,X_7671),equivalent(X_7672,equivalent(X_7670,equivalent(X_7671,X_7672)))),X_7669)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_7670,X_7671),equivalent(X_7672,equivalent(X_7670,equivalent(X_7671,X_7672)))),X_7669),X_7669)) )],[refute_0_179,refute_0_160]) ).

cnf(refute_0_181,plain,
    is_a_theorem(equivalent(equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41))),equivalent(equivalent(equivalent(X_40,X_41),equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41)))),equivalent(equivalent(equivalent(X_40,equivalent(equivalent(X_41,X_40),X_40)),equivalent(equivalent(X_40,X_41),equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41))))),equivalent(X_40,X_41))))),
    inference(subst,[],[refute_0_180:[bind(Z,$fot(equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41))))),bind(X_7669,$fot(equivalent(X_40,X_41))),bind(X_7670,$fot(X_40)),bind(X_7671,$fot(equivalent(equivalent(X_41,X_40),X_40))),bind(X_7672,$fot(equivalent(X_40,X_41)))]]) ).

cnf(refute_0_182,plain,
    is_a_theorem(equivalent(equivalent(X_40,X_41),equivalent(X_41,X_40))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41))),equivalent(equivalent(equivalent(X_40,X_41),equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41)))),equivalent(equivalent(equivalent(X_40,equivalent(equivalent(X_41,X_40),X_40)),equivalent(equivalent(X_40,X_41),equivalent(X_40,equivalent(equivalent(equivalent(X_41,X_40),X_40),equivalent(X_40,X_41))))),equivalent(X_40,X_41))))) )],[refute_0_181,refute_0_159]) ).

cnf(refute_0_183,plain,
    is_a_theorem(equivalent(equivalent(X_7688,X_7689),equivalent(X_7689,X_7688))),
    inference(subst,[],[refute_0_182:[bind(X_40,$fot(X_7688)),bind(X_41,$fot(X_7689))]]) ).

cnf(refute_0_184,plain,
    ( ~ is_a_theorem(equivalent(X_7688,X_7689))
    | is_a_theorem(equivalent(X_7689,X_7688)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_7688,X_7689),equivalent(X_7689,X_7688))) )],[refute_0_183,refute_0_156]) ).

cnf(refute_0_185,plain,
    ( ~ is_a_theorem(equivalent(X_21399,equivalent(equivalent(equivalent(equivalent(X_21400,equivalent(equivalent(X_21401,X_21400),equivalent(X_21402,X_21403))),X_21401),X_21399),equivalent(X_21404,equivalent(equivalent(X_21403,X_21404),X_21402)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21400,equivalent(equivalent(X_21401,X_21400),equivalent(X_21402,X_21403))),X_21401),X_21399),equivalent(X_21404,equivalent(equivalent(X_21403,X_21404),X_21402))),X_21399)) ),
    inference(subst,[],[refute_0_184:[bind(X_7688,$fot(X_21399)),bind(X_7689,$fot(equivalent(equivalent(equivalent(equivalent(X_21400,equivalent(equivalent(X_21401,X_21400),equivalent(X_21402,X_21403))),X_21401),X_21399),equivalent(X_21404,equivalent(equivalent(X_21403,X_21404),X_21402)))))]]) ).

cnf(refute_0_186,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)),equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340)))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340),Z),equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)))),bind(Y,$fot(equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340)))]]) ).

cnf(refute_0_187,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_21335,X_21336),equivalent(equivalent(equivalent(X_21337,equivalent(equivalent(X_21336,X_21337),X_21335)),equivalent(equivalent(X_21333,equivalent(equivalent(X_21334,X_21333),equivalent(X_21335,X_21336))),X_21334)),equivalent(X_21335,X_21336))))
    | is_a_theorem(equivalent(equivalent(X_21337,equivalent(equivalent(X_21336,X_21337),X_21335)),equivalent(equivalent(X_21333,equivalent(equivalent(X_21334,X_21333),equivalent(X_21335,X_21336))),X_21334))) ),
    inference(subst,[],[refute_0_107:[bind(X_3010,$fot(equivalent(equivalent(X_21337,equivalent(equivalent(X_21336,X_21337),X_21335)),equivalent(equivalent(X_21333,equivalent(equivalent(X_21334,X_21333),equivalent(X_21335,X_21336))),X_21334)))),bind(X_3011,$fot(equivalent(X_21335,X_21336)))]]) ).

cnf(refute_0_188,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)),equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)),equivalent(equivalent(X_21331,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))
    | is_a_theorem(equivalent(X_21331,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)))) ),
    inference(subst,[],[refute_0_154:[bind(X_11610,$fot(equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326))),bind(X_11611,$fot(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)))),bind(X_11612,$fot(equivalent(X_21331,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)))))]]) ).

cnf(refute_0_189,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578),X_576))
    | is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578),X_576)),equivalent(X_8,X_9))) ),
    inference(subst,[],[refute_0_20:[bind(X_11,$fot(equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578),X_576)))]]) ).

cnf(refute_0_190,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_10,equivalent(equivalent(X_9,X_10),X_8)),equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578),X_576)),equivalent(X_8,X_9))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_576)),X_578),X_576)) )],[refute_0_48,refute_0_189]) ).

cnf(refute_0_191,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578))),equivalent(equivalent(equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933)),equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578)))),X_939)),equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578),X_938)),equivalent(X_939,equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933))))),
    inference(subst,[],[refute_0_190:[bind(X_10,$fot(equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578))))),bind(X_576,$fot(X_938)),bind(X_8,$fot(X_939)),bind(X_9,$fot(equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933))))]]) ).

cnf(refute_0_192,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_253,equivalent(equivalent(X_256,X_253),X_255)),X_254),equivalent(X_255,X_256)),equivalent(X_257,equivalent(equivalent(equivalent(X_252,equivalent(equivalent(X_251,X_252),X_250)),X_257),equivalent(X_250,X_251)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_253,equivalent(equivalent(X_256,X_253),X_255)),X_254),equivalent(X_255,X_256)),equivalent(X_257,equivalent(equivalent(equivalent(X_252,equivalent(equivalent(X_251,X_252),X_250)),X_257),equivalent(X_250,X_251)))),X_254))
    | is_a_theorem(X_254) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(equivalent(X_253,equivalent(equivalent(X_256,X_253),X_255)),X_254),equivalent(X_255,X_256)),equivalent(X_257,equivalent(equivalent(equivalent(X_252,equivalent(equivalent(X_251,X_252),X_250)),X_257),equivalent(X_250,X_251)))))),bind(Y,$fot(X_254))]]) ).

cnf(refute_0_193,plain,
    ( ~ is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_63,equivalent(equivalent(X_66,X_63),X_65)),X_64),equivalent(X_65,X_66)),equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y)))),X_64)) ),
    inference(subst,[],[refute_0_11:[bind(X_12,$fot(equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y))))),bind(X_13,$fot(X_63)),bind(X_14,$fot(X_64)),bind(X_15,$fot(X_65)),bind(X_16,$fot(X_66))]]) ).

cnf(refute_0_194,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_63,equivalent(equivalent(X_66,X_63),X_65)),X_64),equivalent(X_65,X_66)),equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y)))),X_64)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_7,equivalent(equivalent(equivalent(Z,equivalent(equivalent(Y,Z),X)),X_7),equivalent(X,Y)))) )],[refute_0_7,refute_0_193]) ).

cnf(refute_0_195,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_253,equivalent(equivalent(X_256,X_253),X_255)),X_254),equivalent(X_255,X_256)),equivalent(X_257,equivalent(equivalent(equivalent(X_252,equivalent(equivalent(X_251,X_252),X_250)),X_257),equivalent(X_250,X_251)))),X_254)),
    inference(subst,[],[refute_0_194:[bind(X,$fot(X_250)),bind(Y,$fot(X_251)),bind(Z,$fot(X_252)),bind(X_63,$fot(X_253)),bind(X_64,$fot(X_254)),bind(X_65,$fot(X_255)),bind(X_66,$fot(X_256)),bind(X_7,$fot(X_257))]]) ).

cnf(refute_0_196,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_253,equivalent(equivalent(X_256,X_253),X_255)),X_254),equivalent(X_255,X_256)),equivalent(X_257,equivalent(equivalent(equivalent(X_252,equivalent(equivalent(X_251,X_252),X_250)),X_257),equivalent(X_250,X_251)))))
    | is_a_theorem(X_254) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_253,equivalent(equivalent(X_256,X_253),X_255)),X_254),equivalent(X_255,X_256)),equivalent(X_257,equivalent(equivalent(equivalent(X_252,equivalent(equivalent(X_251,X_252),X_250)),X_257),equivalent(X_250,X_251)))),X_254)) )],[refute_0_195,refute_0_192]) ).

cnf(refute_0_197,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578))),equivalent(equivalent(equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933)),equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578)))),X_939)),equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578),X_938)),equivalent(X_939,equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933)),equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578)))),X_939)) ),
    inference(subst,[],[refute_0_196:[bind(X_250,$fot(X_932)),bind(X_251,$fot(X_933)),bind(X_252,$fot(X_934)),bind(X_253,$fot(X_935)),bind(X_254,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933)),equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578)))),X_939))),bind(X_255,$fot(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578))),bind(X_256,$fot(X_938)),bind(X_257,$fot(X_939))]]) ).

cnf(refute_0_198,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933)),equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578)))),X_939)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578))),equivalent(equivalent(equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933)),equivalent(X_935,equivalent(equivalent(X_938,X_935),equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578)))),X_939)),equivalent(equivalent(equivalent(X_577,equivalent(equivalent(X_578,X_577),X_938)),X_578),X_938)),equivalent(X_939,equivalent(equivalent(equivalent(X_934,equivalent(equivalent(X_933,X_934),X_932)),X_939),equivalent(X_932,X_933))))) )],[refute_0_191,refute_0_197]) ).

cnf(refute_0_199,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)),equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)),equivalent(equivalent(X_21331,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326))),
    inference(subst,[],[refute_0_198:[bind(X_577,$fot(X_21325)),bind(X_578,$fot(X_21326)),bind(X_932,$fot(X_21327)),bind(X_933,$fot(X_21328)),bind(X_934,$fot(X_21329)),bind(X_935,$fot(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)))),bind(X_938,$fot(X_21331)),bind(X_939,$fot(equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))]]) ).

cnf(refute_0_200,plain,
    is_a_theorem(equivalent(X_21331,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)),equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328)),equivalent(equivalent(X_21331,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)),equivalent(X_21327,X_21328))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326))) )],[refute_0_199,refute_0_188]) ).

cnf(refute_0_201,plain,
    is_a_theorem(equivalent(equivalent(X_21335,X_21336),equivalent(equivalent(equivalent(X_21337,equivalent(equivalent(X_21336,X_21337),X_21335)),equivalent(equivalent(X_21333,equivalent(equivalent(X_21334,X_21333),equivalent(X_21335,X_21336))),X_21334)),equivalent(X_21335,X_21336)))),
    inference(subst,[],[refute_0_200:[bind(X_21325,$fot(X_21333)),bind(X_21326,$fot(X_21334)),bind(X_21327,$fot(X_21335)),bind(X_21328,$fot(X_21336)),bind(X_21329,$fot(X_21337)),bind(X_21331,$fot(equivalent(X_21335,X_21336)))]]) ).

cnf(refute_0_202,plain,
    is_a_theorem(equivalent(equivalent(X_21337,equivalent(equivalent(X_21336,X_21337),X_21335)),equivalent(equivalent(X_21333,equivalent(equivalent(X_21334,X_21333),equivalent(X_21335,X_21336))),X_21334))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_21335,X_21336),equivalent(equivalent(equivalent(X_21337,equivalent(equivalent(X_21336,X_21337),X_21335)),equivalent(equivalent(X_21333,equivalent(equivalent(X_21334,X_21333),equivalent(X_21335,X_21336))),X_21334)),equivalent(X_21335,X_21336)))) )],[refute_0_201,refute_0_187]) ).

cnf(refute_0_203,plain,
    is_a_theorem(equivalent(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)),equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340))),
    inference(subst,[],[refute_0_202:[bind(X_21333,$fot(X_21339)),bind(X_21334,$fot(X_21340)),bind(X_21335,$fot(X_21341)),bind(X_21336,$fot(X_21342)),bind(X_21337,$fot(X_21343))]]) ).

cnf(refute_0_204,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340),Z),equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)),equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340))) )],[refute_0_203,refute_0_186]) ).

cnf(refute_0_205,plain,
    is_a_theorem(equivalent(X_21399,equivalent(equivalent(equivalent(equivalent(X_21400,equivalent(equivalent(X_21401,X_21400),equivalent(X_21402,X_21403))),X_21401),X_21399),equivalent(X_21404,equivalent(equivalent(X_21403,X_21404),X_21402))))),
    inference(subst,[],[refute_0_204:[bind(Z,$fot(X_21399)),bind(X_21339,$fot(X_21400)),bind(X_21340,$fot(X_21401)),bind(X_21341,$fot(X_21402)),bind(X_21342,$fot(X_21403)),bind(X_21343,$fot(X_21404))]]) ).

cnf(refute_0_206,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21400,equivalent(equivalent(X_21401,X_21400),equivalent(X_21402,X_21403))),X_21401),X_21399),equivalent(X_21404,equivalent(equivalent(X_21403,X_21404),X_21402))),X_21399)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_21399,equivalent(equivalent(equivalent(equivalent(X_21400,equivalent(equivalent(X_21401,X_21400),equivalent(X_21402,X_21403))),X_21401),X_21399),equivalent(X_21404,equivalent(equivalent(X_21403,X_21404),X_21402))))) )],[refute_0_205,refute_0_185]) ).

cnf(refute_0_207,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830),equivalent(equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830),equivalent(equivalent(X_21834,equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830)),X_21830))),X_21830)),
    inference(subst,[],[refute_0_206:[bind(X_21399,$fot(X_21830)),bind(X_21400,$fot(X_21831)),bind(X_21401,$fot(X_21832)),bind(X_21402,$fot(X_21830)),bind(X_21403,$fot(X_21834)),bind(X_21404,$fot(equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830)))]]) ).

cnf(refute_0_208,plain,
    is_a_theorem(equivalent(X_21834,equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830),equivalent(equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830),equivalent(equivalent(X_21834,equivalent(equivalent(equivalent(X_21831,equivalent(equivalent(X_21832,X_21831),equivalent(X_21830,X_21834))),X_21832),X_21830)),X_21830))),X_21830)) )],[refute_0_207,refute_0_155]) ).

cnf(refute_0_209,plain,
    is_a_theorem(equivalent(X_22186,equivalent(equivalent(equivalent(X_22184,equivalent(equivalent(X_22185,X_22184),equivalent(X_22183,X_22186))),X_22185),X_22183))),
    inference(subst,[],[refute_0_208:[bind(X_21830,$fot(X_22183)),bind(X_21831,$fot(X_22184)),bind(X_21832,$fot(X_22185)),bind(X_21834,$fot(X_22186))]]) ).

cnf(refute_0_210,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2960,X_2961),X_2961),equivalent(X_22186,equivalent(equivalent(equivalent(X_22184,equivalent(equivalent(X_22185,X_22184),equivalent(X_22183,X_22186))),X_22185),X_22183))),X_2960)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_22186,equivalent(equivalent(equivalent(X_22184,equivalent(equivalent(X_22185,X_22184),equivalent(X_22183,X_22186))),X_22185),X_22183))) )],[refute_0_209,refute_0_123]) ).

cnf(refute_0_211,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_26079,equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)))),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))),equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)),equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))),equivalent(equivalent(X_26079,equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)))),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))))),
    inference(subst,[],[refute_0_210:[bind(X_22183,$fot(X_26079)),bind(X_22184,$fot(equivalent(X_1011,X_26079))),bind(X_22185,$fot(X_26081)),bind(X_22186,$fot(X_26081)),bind(X_2960,$fot(equivalent(equivalent(X_26079,equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)))),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))))),bind(X_2961,$fot(equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)))]]) ).

cnf(refute_0_212,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_26079,equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)))),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))),equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)),equivalent(equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)),X_1011)),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))),equivalent(equivalent(X_26079,equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081)))),equivalent(X_26081,equivalent(equivalent(equivalent(equivalent(X_1011,X_26079),equivalent(equivalent(X_26081,equivalent(X_1011,X_26079)),equivalent(X_26079,X_26081))),X_26081),X_26079))))) )],[refute_0_211,refute_0_119]) ).

cnf(refute_0_213,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_26081,equivalent(X_67865,X_26079)),equivalent(X_26079,X_26081)),X_67865)),
    inference(subst,[],[refute_0_212:[bind(X_1011,$fot(X_67865))]]) ).

cnf(refute_0_214,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_67566,X_67567),X_67568))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_67566,X_67567),X_67568),equivalent(equivalent(equivalent(X_67568,X_67567),X_67566),equivalent(X_67565,X_67565))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_67568,X_67567),X_67566),equivalent(X_67565,X_67565))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_67566,X_67567),X_67568))),bind(Y,$fot(equivalent(equivalent(equivalent(X_67568,X_67567),X_67566),equivalent(X_67565,X_67565))))]]) ).

cnf(refute_0_215,plain,
    ( ~ is_a_theorem(equivalent(X_23832,equivalent(equivalent(X_23833,X_23832),X_23834)))
    | ~ is_a_theorem(equivalent(equivalent(X_23832,equivalent(equivalent(X_23833,X_23832),X_23834)),equivalent(X_23833,equivalent(X_23834,equivalent(X_23835,X_23835)))))
    | is_a_theorem(equivalent(X_23833,equivalent(X_23834,equivalent(X_23835,X_23835)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_23832,equivalent(equivalent(X_23833,X_23832),X_23834)))),bind(Y,$fot(equivalent(X_23833,equivalent(X_23834,equivalent(X_23835,X_23835)))))]]) ).

cnf(refute_0_216,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_23829,equivalent(X_23830,equivalent(X_23831,X_23831))),equivalent(X_23828,equivalent(equivalent(X_23829,X_23828),X_23830))))
    | is_a_theorem(equivalent(equivalent(X_23828,equivalent(equivalent(X_23829,X_23828),X_23830)),equivalent(X_23829,equivalent(X_23830,equivalent(X_23831,X_23831))))) ),
    inference(subst,[],[refute_0_184:[bind(X_7688,$fot(equivalent(X_23829,equivalent(X_23830,equivalent(X_23831,X_23831))))),bind(X_7689,$fot(equivalent(X_23828,equivalent(equivalent(X_23829,X_23828),X_23830))))]]) ).

cnf(refute_0_217,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3930,X_3931),X_3930))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_3930,X_3931),X_3930),X_3931))
    | is_a_theorem(X_3931) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_3930,X_3931),X_3930))),bind(Y,$fot(X_3931))]]) ).

cnf(refute_0_218,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927))),equivalent(equivalent(X_3929,equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927)))),equivalent(equivalent(X_3927,X_3929),X_3927))),equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3927,X_3929),X_3927),X_3929)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(X_3927)),bind(X_22,$fot(X_3927)),bind(X_23,$fot(X_3929)),bind(X_24,$fot(equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927))))),bind(X_25,$fot(equivalent(equivalent(X_3927,X_3929),X_3927))),bind(X_26,$fot(X_3929))]]) ).

cnf(refute_0_219,plain,
    ( ~ is_a_theorem(X_3086)
    | ~ is_a_theorem(equivalent(X_3086,equivalent(equivalent(X_3087,X_3086),X_3087)))
    | is_a_theorem(equivalent(equivalent(X_3087,X_3086),X_3087)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3086)),bind(Y,$fot(equivalent(equivalent(X_3087,X_3086),X_3087)))]]) ).

cnf(refute_0_220,plain,
    ( ~ is_a_theorem(equivalent(X_3081,X_3081))
    | is_a_theorem(equivalent(Z,equivalent(equivalent(X_3081,Z),X_3081))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_3081)),bind(Y,$fot(X_3081))]]) ).

cnf(refute_0_221,plain,
    is_a_theorem(equivalent(Z,equivalent(equivalent(X_3081,Z),X_3081))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_3081,X_3081)) )],[refute_0_137,refute_0_220]) ).

cnf(refute_0_222,plain,
    is_a_theorem(equivalent(X_3086,equivalent(equivalent(X_3087,X_3086),X_3087))),
    inference(subst,[],[refute_0_221:[bind(Z,$fot(X_3086)),bind(X_3081,$fot(X_3087))]]) ).

cnf(refute_0_223,plain,
    ( ~ is_a_theorem(X_3086)
    | is_a_theorem(equivalent(equivalent(X_3087,X_3086),X_3087)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_3086,equivalent(equivalent(X_3087,X_3086),X_3087))) )],[refute_0_222,refute_0_219]) ).

cnf(refute_0_224,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3871,equivalent(equivalent(X_3869,X_3869),equivalent(X_3871,X_3870))),X_3870))
    | is_a_theorem(equivalent(equivalent(X_3087,equivalent(equivalent(X_3871,equivalent(equivalent(X_3869,X_3869),equivalent(X_3871,X_3870))),X_3870)),X_3087)) ),
    inference(subst,[],[refute_0_223:[bind(X_3086,$fot(equivalent(equivalent(X_3871,equivalent(equivalent(X_3869,X_3869),equivalent(X_3871,X_3870))),X_3870)))]]) ).

cnf(refute_0_225,plain,
    ( ~ is_a_theorem(equivalent(X_3099,equivalent(X_3098,X_3098)))
    | ~ is_a_theorem(equivalent(equivalent(X_3099,equivalent(X_3098,X_3098)),X_3099))
    | is_a_theorem(X_3099) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3099,equivalent(X_3098,X_3098)))),bind(Y,$fot(X_3099))]]) ).

cnf(refute_0_226,plain,
    ( ~ is_a_theorem(equivalent(X_25,X_25))
    | is_a_theorem(equivalent(equivalent(X_3092,equivalent(X_25,X_25)),X_3092)) ),
    inference(subst,[],[refute_0_223:[bind(X_3086,$fot(equivalent(X_25,X_25))),bind(X_3087,$fot(X_3092))]]) ).

cnf(refute_0_227,plain,
    is_a_theorem(equivalent(equivalent(X_3092,equivalent(X_25,X_25)),X_3092)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_25,X_25)) )],[refute_0_136,refute_0_226]) ).

cnf(refute_0_228,plain,
    is_a_theorem(equivalent(equivalent(X_3099,equivalent(X_3098,X_3098)),X_3099)),
    inference(subst,[],[refute_0_227:[bind(X_25,$fot(X_3098)),bind(X_3092,$fot(X_3099))]]) ).

cnf(refute_0_229,plain,
    ( ~ is_a_theorem(equivalent(X_3099,equivalent(X_3098,X_3098)))
    | is_a_theorem(X_3099) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3099,equivalent(X_3098,X_3098)),X_3099)) )],[refute_0_228,refute_0_225]) ).

cnf(refute_0_230,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3868,equivalent(equivalent(X_3098,X_3098),equivalent(X_3868,X_3867))),X_3867),equivalent(X_3098,X_3098)))
    | is_a_theorem(equivalent(equivalent(X_3868,equivalent(equivalent(X_3098,X_3098),equivalent(X_3868,X_3867))),X_3867)) ),
    inference(subst,[],[refute_0_229:[bind(X_3099,$fot(equivalent(equivalent(X_3868,equivalent(equivalent(X_3098,X_3098),equivalent(X_3868,X_3867))),X_3867)))]]) ).

cnf(refute_0_231,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3865,X_3862),equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862))),equivalent(equivalent(equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862)),X_3865),equivalent(X_3862,equivalent(equivalent(X_3865,X_3862),equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862),X_26)) ),
    inference(subst,[],[refute_0_24:[bind(X_21,$fot(equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862)))),bind(X_22,$fot(X_3865)),bind(X_23,$fot(X_3862)),bind(X_24,$fot(equivalent(X_3865,X_3862))),bind(X_25,$fot(equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862)))]]) ).

cnf(refute_0_232,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_2945)),X_573),X_2945)),
    inference(subst,[],[refute_0_47:[bind(X_26,$fot(X_2945))]]) ).

cnf(refute_0_233,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_2945)),X_573),X_2945))
    | is_a_theorem(equivalent(X_2946,equivalent(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_2945)),X_573),equivalent(X_2945,X_2946)))) ),
    inference(subst,[],[refute_0_88:[bind(X_2932,$fot(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_2945)),X_573))),bind(X_2933,$fot(X_2945)),bind(X_2934,$fot(X_2946))]]) ).

cnf(refute_0_234,plain,
    is_a_theorem(equivalent(X_2946,equivalent(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_2945)),X_573),equivalent(X_2945,X_2946)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_570,equivalent(equivalent(X_573,X_570),X_2945)),X_573),X_2945)) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3865,X_3862),equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862))),equivalent(equivalent(equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862)),X_3865),equivalent(X_3862,equivalent(equivalent(X_3865,X_3862),equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862))))))),
    inference(subst,[],[refute_0_234:[bind(X_2945,$fot(X_3862)),bind(X_2946,$fot(equivalent(equivalent(X_3865,X_3862),equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862))))),bind(X_570,$fot(equivalent(X_26,equivalent(X_3865,X_3862)))),bind(X_573,$fot(X_3865))]]) ).

cnf(refute_0_236,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862),X_26)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3865,X_3862),equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862))),equivalent(equivalent(equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862)),X_3865),equivalent(X_3862,equivalent(equivalent(X_3865,X_3862),equivalent(equivalent(X_26,equivalent(X_3865,X_3862)),equivalent(equivalent(X_3865,equivalent(X_26,equivalent(X_3865,X_3862))),X_3862))))))) )],[refute_0_235,refute_0_231]) ).

cnf(refute_0_237,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3868,equivalent(equivalent(X_3098,X_3098),equivalent(X_3868,X_3867))),X_3867),equivalent(X_3098,X_3098))),
    inference(subst,[],[refute_0_236:[bind(X_26,$fot(equivalent(X_3098,X_3098))),bind(X_3862,$fot(X_3867)),bind(X_3865,$fot(X_3868))]]) ).

cnf(refute_0_238,plain,
    is_a_theorem(equivalent(equivalent(X_3868,equivalent(equivalent(X_3098,X_3098),equivalent(X_3868,X_3867))),X_3867)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3868,equivalent(equivalent(X_3098,X_3098),equivalent(X_3868,X_3867))),X_3867),equivalent(X_3098,X_3098))) )],[refute_0_237,refute_0_230]) ).

cnf(refute_0_239,plain,
    is_a_theorem(equivalent(equivalent(X_3871,equivalent(equivalent(X_3869,X_3869),equivalent(X_3871,X_3870))),X_3870)),
    inference(subst,[],[refute_0_238:[bind(X_3098,$fot(X_3869)),bind(X_3867,$fot(X_3870)),bind(X_3868,$fot(X_3871))]]) ).

cnf(refute_0_240,plain,
    is_a_theorem(equivalent(equivalent(X_3087,equivalent(equivalent(X_3871,equivalent(equivalent(X_3869,X_3869),equivalent(X_3871,X_3870))),X_3870)),X_3087)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3871,equivalent(equivalent(X_3869,X_3869),equivalent(X_3871,X_3870))),X_3870)) )],[refute_0_239,refute_0_224]) ).

cnf(refute_0_241,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927))),equivalent(equivalent(X_3929,equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927)))),equivalent(equivalent(X_3927,X_3929),X_3927))),equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927))))),
    inference(subst,[],[refute_0_240:[bind(X_3087,$fot(equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927))))),bind(X_3869,$fot(X_3927)),bind(X_3870,$fot(equivalent(equivalent(X_3927,X_3929),X_3927))),bind(X_3871,$fot(X_3929))]]) ).

cnf(refute_0_242,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3927,X_3929),X_3927),X_3929)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927))),equivalent(equivalent(X_3929,equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927)))),equivalent(equivalent(X_3927,X_3929),X_3927))),equivalent(equivalent(X_3927,X_3927),equivalent(X_3929,equivalent(equivalent(X_3927,X_3929),X_3927))))) )],[refute_0_241,refute_0_218]) ).

cnf(refute_0_243,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3930,X_3931),X_3930),X_3931)),
    inference(subst,[],[refute_0_242:[bind(X_3927,$fot(X_3930)),bind(X_3929,$fot(X_3931))]]) ).

cnf(refute_0_244,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3930,X_3931),X_3930))
    | is_a_theorem(X_3931) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3930,X_3931),X_3930),X_3931)) )],[refute_0_243,refute_0_217]) ).

cnf(refute_0_245,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_23664,equivalent(X_23665,X_23665)),equivalent(equivalent(X_23662,equivalent(X_23664,equivalent(X_23665,X_23665))),equivalent(X_23661,equivalent(equivalent(X_23662,X_23661),X_23664)))),equivalent(X_23664,equivalent(X_23665,X_23665))))
    | is_a_theorem(equivalent(equivalent(X_23662,equivalent(X_23664,equivalent(X_23665,X_23665))),equivalent(X_23661,equivalent(equivalent(X_23662,X_23661),X_23664)))) ),
    inference(subst,[],[refute_0_244:[bind(X_3930,$fot(equivalent(X_23664,equivalent(X_23665,X_23665)))),bind(X_3931,$fot(equivalent(equivalent(X_23662,equivalent(X_23664,equivalent(X_23665,X_23665))),equivalent(X_23661,equivalent(equivalent(X_23662,X_23661),X_23664)))))]]) ).

cnf(refute_0_246,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3085,X_3085),equivalent(equivalent(X_21463,equivalent(equivalent(X_21462,X_21463),equivalent(X_21461,equivalent(equivalent(X_21462,X_21461),X_21464)))),equivalent(X_21464,equivalent(X_3085,X_3085)))))
    | is_a_theorem(equivalent(equivalent(X_21463,equivalent(equivalent(X_21462,X_21463),equivalent(X_21461,equivalent(equivalent(X_21462,X_21461),X_21464)))),equivalent(X_21464,equivalent(X_3085,X_3085)))) ),
    inference(subst,[],[refute_0_140:[bind(X_3084,$fot(equivalent(equivalent(X_21463,equivalent(equivalent(X_21462,X_21463),equivalent(X_21461,equivalent(equivalent(X_21462,X_21461),X_21464)))),equivalent(X_21464,equivalent(X_3085,X_3085)))))]]) ).

cnf(refute_0_247,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_21449,equivalent(equivalent(X_21448,X_21449),equivalent(X_21447,equivalent(equivalent(X_21448,X_21447),X_21450)))),X_21450))
    | is_a_theorem(equivalent(X_2934,equivalent(equivalent(X_21449,equivalent(equivalent(X_21448,X_21449),equivalent(X_21447,equivalent(equivalent(X_21448,X_21447),X_21450)))),equivalent(X_21450,X_2934)))) ),
    inference(subst,[],[refute_0_88:[bind(X_2932,$fot(equivalent(X_21449,equivalent(equivalent(X_21448,X_21449),equivalent(X_21447,equivalent(equivalent(X_21448,X_21447),X_21450)))))),bind(X_2933,$fot(X_21450))]]) ).

cnf(refute_0_248,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_21446,equivalent(X_21446,equivalent(equivalent(equivalent(X_21444,equivalent(equivalent(X_21441,X_21444),equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)))),X_21446),equivalent(equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)),X_21441)))),equivalent(equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)),X_21441)))
    | is_a_theorem(equivalent(equivalent(X_21444,equivalent(equivalent(X_21441,X_21444),equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)))),X_21446)) ),
    inference(subst,[],[refute_0_154:[bind(X_11610,$fot(equivalent(equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)),X_21441))),bind(X_11611,$fot(X_21446)),bind(X_11612,$fot(equivalent(equivalent(X_21444,equivalent(equivalent(X_21441,X_21444),equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)))),X_21446)))]]) ).

cnf(refute_0_249,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)),equivalent(equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328))),equivalent(equivalent(X_21331,equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))),X_21332))
    | is_a_theorem(equivalent(equivalent(X_21331,equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326))) ),
    inference(subst,[],[refute_0_49:[bind(X_576,$fot(equivalent(equivalent(X_21331,equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))),bind(X_577,$fot(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)))),bind(X_578,$fot(X_21332))]]) ).

cnf(refute_0_250,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)),equivalent(equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328))),equivalent(equivalent(X_21331,equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))),X_21332)),
    inference(subst,[],[refute_0_198:[bind(X_577,$fot(X_21325)),bind(X_578,$fot(X_21326)),bind(X_932,$fot(X_21327)),bind(X_933,$fot(X_21328)),bind(X_934,$fot(X_21329)),bind(X_935,$fot(equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328))))),bind(X_938,$fot(X_21331)),bind(X_939,$fot(X_21332))]]) ).

cnf(refute_0_251,plain,
    is_a_theorem(equivalent(equivalent(X_21331,equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)),equivalent(equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328))),equivalent(equivalent(X_21331,equivalent(X_21332,equivalent(equivalent(equivalent(X_21329,equivalent(equivalent(X_21328,X_21329),X_21327)),X_21332),equivalent(X_21327,X_21328)))),equivalent(equivalent(X_21325,equivalent(equivalent(X_21326,X_21325),X_21331)),X_21326)))),X_21332)) )],[refute_0_250,refute_0_249]) ).

cnf(refute_0_252,plain,
    is_a_theorem(equivalent(equivalent(X_21446,equivalent(X_21446,equivalent(equivalent(equivalent(X_21444,equivalent(equivalent(X_21441,X_21444),equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)))),X_21446),equivalent(equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)),X_21441)))),equivalent(equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)),X_21441))),
    inference(subst,[],[refute_0_251:[bind(X_21325,$fot(X_21440)),bind(X_21326,$fot(X_21441)),bind(X_21327,$fot(equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)))),bind(X_21328,$fot(X_21441)),bind(X_21329,$fot(X_21444)),bind(X_21331,$fot(X_21446)),bind(X_21332,$fot(X_21446))]]) ).

cnf(refute_0_253,plain,
    is_a_theorem(equivalent(equivalent(X_21444,equivalent(equivalent(X_21441,X_21444),equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)))),X_21446)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_21446,equivalent(X_21446,equivalent(equivalent(equivalent(X_21444,equivalent(equivalent(X_21441,X_21444),equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)))),X_21446),equivalent(equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)),X_21441)))),equivalent(equivalent(X_21440,equivalent(equivalent(X_21441,X_21440),X_21446)),X_21441))) )],[refute_0_252,refute_0_248]) ).

cnf(refute_0_254,plain,
    is_a_theorem(equivalent(equivalent(X_21449,equivalent(equivalent(X_21448,X_21449),equivalent(X_21447,equivalent(equivalent(X_21448,X_21447),X_21450)))),X_21450)),
    inference(subst,[],[refute_0_253:[bind(X_21440,$fot(X_21447)),bind(X_21441,$fot(X_21448)),bind(X_21444,$fot(X_21449)),bind(X_21446,$fot(X_21450))]]) ).

cnf(refute_0_255,plain,
    is_a_theorem(equivalent(X_2934,equivalent(equivalent(X_21449,equivalent(equivalent(X_21448,X_21449),equivalent(X_21447,equivalent(equivalent(X_21448,X_21447),X_21450)))),equivalent(X_21450,X_2934)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_21449,equivalent(equivalent(X_21448,X_21449),equivalent(X_21447,equivalent(equivalent(X_21448,X_21447),X_21450)))),X_21450)) )],[refute_0_254,refute_0_247]) ).

cnf(refute_0_256,plain,
    is_a_theorem(equivalent(equivalent(X_3085,X_3085),equivalent(equivalent(X_21463,equivalent(equivalent(X_21462,X_21463),equivalent(X_21461,equivalent(equivalent(X_21462,X_21461),X_21464)))),equivalent(X_21464,equivalent(X_3085,X_3085))))),
    inference(subst,[],[refute_0_255:[bind(X_21447,$fot(X_21461)),bind(X_21448,$fot(X_21462)),bind(X_21449,$fot(X_21463)),bind(X_21450,$fot(X_21464)),bind(X_2934,$fot(equivalent(X_3085,X_3085)))]]) ).

cnf(refute_0_257,plain,
    is_a_theorem(equivalent(equivalent(X_21463,equivalent(equivalent(X_21462,X_21463),equivalent(X_21461,equivalent(equivalent(X_21462,X_21461),X_21464)))),equivalent(X_21464,equivalent(X_3085,X_3085)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3085,X_3085),equivalent(equivalent(X_21463,equivalent(equivalent(X_21462,X_21463),equivalent(X_21461,equivalent(equivalent(X_21462,X_21461),X_21464)))),equivalent(X_21464,equivalent(X_3085,X_3085))))) )],[refute_0_256,refute_0_246]) ).

cnf(refute_0_258,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_23664,equivalent(X_23665,X_23665)),equivalent(equivalent(X_23662,equivalent(X_23664,equivalent(X_23665,X_23665))),equivalent(X_23661,equivalent(equivalent(X_23662,X_23661),X_23664)))),equivalent(X_23664,equivalent(X_23665,X_23665)))),
    inference(subst,[],[refute_0_257:[bind(X_21461,$fot(X_23661)),bind(X_21462,$fot(X_23662)),bind(X_21463,$fot(equivalent(X_23664,equivalent(X_23665,X_23665)))),bind(X_21464,$fot(X_23664)),bind(X_3085,$fot(X_23665))]]) ).

cnf(refute_0_259,plain,
    is_a_theorem(equivalent(equivalent(X_23662,equivalent(X_23664,equivalent(X_23665,X_23665))),equivalent(X_23661,equivalent(equivalent(X_23662,X_23661),X_23664)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_23664,equivalent(X_23665,X_23665)),equivalent(equivalent(X_23662,equivalent(X_23664,equivalent(X_23665,X_23665))),equivalent(X_23661,equivalent(equivalent(X_23662,X_23661),X_23664)))),equivalent(X_23664,equivalent(X_23665,X_23665)))) )],[refute_0_258,refute_0_245]) ).

cnf(refute_0_260,plain,
    is_a_theorem(equivalent(equivalent(X_23829,equivalent(X_23830,equivalent(X_23831,X_23831))),equivalent(X_23828,equivalent(equivalent(X_23829,X_23828),X_23830)))),
    inference(subst,[],[refute_0_259:[bind(X_23661,$fot(X_23828)),bind(X_23662,$fot(X_23829)),bind(X_23664,$fot(X_23830)),bind(X_23665,$fot(X_23831))]]) ).

cnf(refute_0_261,plain,
    is_a_theorem(equivalent(equivalent(X_23828,equivalent(equivalent(X_23829,X_23828),X_23830)),equivalent(X_23829,equivalent(X_23830,equivalent(X_23831,X_23831))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_23829,equivalent(X_23830,equivalent(X_23831,X_23831))),equivalent(X_23828,equivalent(equivalent(X_23829,X_23828),X_23830)))) )],[refute_0_260,refute_0_216]) ).

cnf(refute_0_262,plain,
    is_a_theorem(equivalent(equivalent(X_23832,equivalent(equivalent(X_23833,X_23832),X_23834)),equivalent(X_23833,equivalent(X_23834,equivalent(X_23835,X_23835))))),
    inference(subst,[],[refute_0_261:[bind(X_23828,$fot(X_23832)),bind(X_23829,$fot(X_23833)),bind(X_23830,$fot(X_23834)),bind(X_23831,$fot(X_23835))]]) ).

cnf(refute_0_263,plain,
    ( ~ is_a_theorem(equivalent(X_23832,equivalent(equivalent(X_23833,X_23832),X_23834)))
    | is_a_theorem(equivalent(X_23833,equivalent(X_23834,equivalent(X_23835,X_23835)))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_23832,equivalent(equivalent(X_23833,X_23832),X_23834)),equivalent(X_23833,equivalent(X_23834,equivalent(X_23835,X_23835))))) )],[refute_0_262,refute_0_215]) ).

cnf(refute_0_264,plain,
    ( ~ is_a_theorem(equivalent(X_67554,equivalent(equivalent(equivalent(equivalent(X_67555,X_67556),X_67557),X_67554),equivalent(equivalent(X_67557,X_67556),X_67555))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_67555,X_67556),X_67557),equivalent(equivalent(equivalent(X_67557,X_67556),X_67555),equivalent(X_23835,X_23835)))) ),
    inference(subst,[],[refute_0_263:[bind(X_23832,$fot(X_67554)),bind(X_23833,$fot(equivalent(equivalent(X_67555,X_67556),X_67557))),bind(X_23834,$fot(equivalent(equivalent(X_67557,X_67556),X_67555)))]]) ).

cnf(refute_0_265,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_67550,equivalent(equivalent(X_67549,X_67550),equivalent(X_67552,X_67550))),equivalent(equivalent(X_67550,equivalent(equivalent(X_67549,X_67550),equivalent(X_67552,X_67550))),equivalent(equivalent(X_67546,equivalent(equivalent(equivalent(equivalent(X_67549,X_67550),X_67552),X_67546),equivalent(equivalent(X_67552,X_67550),X_67549))),equivalent(equivalent(X_67549,X_67550),X_67552)))),equivalent(equivalent(X_67549,X_67550),X_67552)))
    | is_a_theorem(equivalent(X_67546,equivalent(equivalent(equivalent(equivalent(X_67549,X_67550),X_67552),X_67546),equivalent(equivalent(X_67552,X_67550),X_67549)))) ),
    inference(subst,[],[refute_0_154:[bind(X_11610,$fot(equivalent(equivalent(X_67549,X_67550),X_67552))),bind(X_11611,$fot(equivalent(X_67550,equivalent(equivalent(X_67549,X_67550),equivalent(X_67552,X_67550))))),bind(X_11612,$fot(equivalent(X_67546,equivalent(equivalent(equivalent(equivalent(X_67549,X_67550),X_67552),X_67546),equivalent(equivalent(X_67552,X_67550),X_67549)))))]]) ).

cnf(refute_0_266,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)),equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_2938,equivalent(X_2936,equivalent(X_2937,X_2938))),equivalent(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)),equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340))),equivalent(X_2936,X_2937))) ),
    inference(subst,[],[refute_0_148:[bind(X_2935,$fot(equivalent(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)),equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340))))]]) ).

cnf(refute_0_267,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2938,equivalent(X_2936,equivalent(X_2937,X_2938))),equivalent(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)),equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340))),equivalent(X_2936,X_2937))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_21343,equivalent(equivalent(X_21342,X_21343),X_21341)),equivalent(equivalent(X_21339,equivalent(equivalent(X_21340,X_21339),equivalent(X_21341,X_21342))),X_21340))) )],[refute_0_203,refute_0_266]) ).

cnf(refute_0_268,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_67550,equivalent(equivalent(X_67549,X_67550),equivalent(X_67552,X_67550))),equivalent(equivalent(X_67550,equivalent(equivalent(X_67549,X_67550),equivalent(X_67552,X_67550))),equivalent(equivalent(X_67546,equivalent(equivalent(equivalent(equivalent(X_67549,X_67550),X_67552),X_67546),equivalent(equivalent(X_67552,X_67550),X_67549))),equivalent(equivalent(X_67549,X_67550),X_67552)))),equivalent(equivalent(X_67549,X_67550),X_67552))),
    inference(subst,[],[refute_0_267:[bind(X_21339,$fot(X_67546)),bind(X_21340,$fot(equivalent(equivalent(X_67549,X_67550),X_67552))),bind(X_21341,$fot(equivalent(X_67552,X_67550))),bind(X_21342,$fot(X_67549)),bind(X_21343,$fot(X_67550)),bind(X_2936,$fot(equivalent(X_67549,X_67550))),bind(X_2937,$fot(X_67552)),bind(X_2938,$fot(X_67550))]]) ).

cnf(refute_0_269,plain,
    is_a_theorem(equivalent(X_67546,equivalent(equivalent(equivalent(equivalent(X_67549,X_67550),X_67552),X_67546),equivalent(equivalent(X_67552,X_67550),X_67549)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_67550,equivalent(equivalent(X_67549,X_67550),equivalent(X_67552,X_67550))),equivalent(equivalent(X_67550,equivalent(equivalent(X_67549,X_67550),equivalent(X_67552,X_67550))),equivalent(equivalent(X_67546,equivalent(equivalent(equivalent(equivalent(X_67549,X_67550),X_67552),X_67546),equivalent(equivalent(X_67552,X_67550),X_67549))),equivalent(equivalent(X_67549,X_67550),X_67552)))),equivalent(equivalent(X_67549,X_67550),X_67552))) )],[refute_0_268,refute_0_265]) ).

cnf(refute_0_270,plain,
    is_a_theorem(equivalent(X_67554,equivalent(equivalent(equivalent(equivalent(X_67555,X_67556),X_67557),X_67554),equivalent(equivalent(X_67557,X_67556),X_67555)))),
    inference(subst,[],[refute_0_269:[bind(X_67546,$fot(X_67554)),bind(X_67549,$fot(X_67555)),bind(X_67550,$fot(X_67556)),bind(X_67552,$fot(X_67557))]]) ).

cnf(refute_0_271,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_67555,X_67556),X_67557),equivalent(equivalent(equivalent(X_67557,X_67556),X_67555),equivalent(X_23835,X_23835)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_67554,equivalent(equivalent(equivalent(equivalent(X_67555,X_67556),X_67557),X_67554),equivalent(equivalent(X_67557,X_67556),X_67555)))) )],[refute_0_270,refute_0_264]) ).

cnf(refute_0_272,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_67566,X_67567),X_67568),equivalent(equivalent(equivalent(X_67568,X_67567),X_67566),equivalent(X_67565,X_67565)))),
    inference(subst,[],[refute_0_271:[bind(X_23835,$fot(X_67565)),bind(X_67555,$fot(X_67566)),bind(X_67556,$fot(X_67567)),bind(X_67557,$fot(X_67568))]]) ).

cnf(refute_0_273,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_67566,X_67567),X_67568))
    | is_a_theorem(equivalent(equivalent(equivalent(X_67568,X_67567),X_67566),equivalent(X_67565,X_67565))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_67566,X_67567),X_67568),equivalent(equivalent(equivalent(X_67568,X_67567),X_67566),equivalent(X_67565,X_67565)))) )],[refute_0_272,refute_0_214]) ).

cnf(refute_0_274,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_26081,equivalent(X_67865,X_26079)),equivalent(X_26079,X_26081)),X_67865))
    | is_a_theorem(equivalent(equivalent(equivalent(X_67865,equivalent(X_26079,X_26081)),equivalent(X_26081,equivalent(X_67865,X_26079))),equivalent(X_67862,X_67862))) ),
    inference(subst,[],[refute_0_273:[bind(X_67565,$fot(X_67862)),bind(X_67566,$fot(equivalent(X_26081,equivalent(X_67865,X_26079)))),bind(X_67567,$fot(equivalent(X_26079,X_26081))),bind(X_67568,$fot(X_67865))]]) ).

cnf(refute_0_275,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_67865,equivalent(X_26079,X_26081)),equivalent(X_26081,equivalent(X_67865,X_26079))),equivalent(X_67862,X_67862))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_26081,equivalent(X_67865,X_26079)),equivalent(X_26079,X_26081)),X_67865)) )],[refute_0_213,refute_0_274]) ).

cnf(refute_0_276,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))),equivalent(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))),equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927)))))),
    inference(subst,[],[refute_0_275:[bind(X_26079,$fot(X_67927)),bind(X_26081,$fot(X_67928)),bind(X_67862,$fot(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))))),bind(X_67865,$fot(X_67930))]]) ).

cnf(refute_0_277,plain,
    is_a_theorem(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))),equivalent(equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927))),equivalent(equivalent(X_67930,equivalent(X_67927,X_67928)),equivalent(X_67928,equivalent(X_67930,X_67927)))))) )],[refute_0_276,refute_0_108]) ).

cnf(refute_0_278,plain,
    is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(a,b)))),
    inference(subst,[],[refute_0_277:[bind(X_67927,$fot(b)),bind(X_67928,$fot(c)),bind(X_67930,$fot(a))]]) ).

cnf(refute_0_279,plain,
    $false,
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(c,equivalent(a,b)))) )],[refute_0_278,prove_wn]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul  3 05:10:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 278.47/278.69  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 278.47/278.69  
% 278.47/278.69  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 278.56/278.77  
%------------------------------------------------------------------------------