%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL121-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 12:49:44 EDT 2022

% Result   : Unsatisfiable 123.13s 123.35s
% Output   : CNFRefutation 123.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   89
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  310 ( 176 unt;   0 nHn;  67 RR)
%            Number of literals    :  474 (   0 equ; 165 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   : 1327 (   0 sgn)

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

cnf(lg_2,axiom,
    is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) ).

cnf(prove_lg_1,negated_conjecture,
    ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))) ).

cnf(refute_0_0,plain,
    ( ~ is_a_theorem(equivalent(X_66645,X_66645))
    | ~ is_a_theorem(equivalent(equivalent(X_66645,X_66645),equivalent(X_66643,equivalent(X_66643,equivalent(equivalent(X_66642,equivalent(X_66644,X_66644)),X_66642)))))
    | is_a_theorem(equivalent(X_66643,equivalent(X_66643,equivalent(equivalent(X_66642,equivalent(X_66644,X_66644)),X_66642)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_66645,X_66645))),bind(Y,$fot(equivalent(X_66643,equivalent(X_66643,equivalent(equivalent(X_66642,equivalent(X_66644,X_66644)),X_66642)))))]]) ).

cnf(refute_0_1,plain,
    ( ~ is_a_theorem(equivalent(X_18,X_19))
    | ~ is_a_theorem(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))))
    | is_a_theorem(equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_18,X_19))),bind(Y,$fot(equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))))]]) ).

cnf(refute_0_2,plain,
    ( ~ is_a_theorem(equivalent(X_11,equivalent(X_11,equivalent(equivalent(X_12,X_13),equivalent(equivalent(X_12,X_10),equivalent(X_13,X_10))))))
    | ~ is_a_theorem(equivalent(equivalent(X_11,equivalent(X_11,equivalent(equivalent(X_12,X_13),equivalent(equivalent(X_12,X_10),equivalent(X_13,X_10))))),equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)))))
    | is_a_theorem(equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_11,equivalent(X_11,equivalent(equivalent(X_12,X_13),equivalent(equivalent(X_12,X_10),equivalent(X_13,X_10))))))),bind(Y,$fot(equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)))))]]) ).

cnf(refute_0_3,plain,
    ( ~ is_a_theorem(X_3)
    | ~ is_a_theorem(equivalent(X_3,equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))))
    | is_a_theorem(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3)),bind(Y,$fot(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))))]]) ).

cnf(refute_0_4,plain,
    is_a_theorem(equivalent(X_3,equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))))),
    inference(subst,[],[lg_2:[bind(U,$fot(X_2)),bind(X,$fot(X_3)),bind(Y,$fot(X_4)),bind(Z,$fot(X_5))]]) ).

cnf(refute_0_5,plain,
    ( ~ is_a_theorem(X_3)
    | is_a_theorem(equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_3,equivalent(X_3,equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))))) )],[refute_0_4,refute_0_3]) ).

cnf(refute_0_6,plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))
    | is_a_theorem(equivalent(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))),equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))))) ),
    inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_6)),bind(X_3,$fot(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))),bind(X_4,$fot(X_8)),bind(X_5,$fot(X_9))]]) ).

cnf(refute_0_7,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))),equivalent(equivalent(X_8,X_9),equivalent(equivalent(X_8,X_6),equivalent(X_9,X_6))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) )],[lg_2,refute_0_6]) ).

cnf(refute_0_8,plain,
    is_a_theorem(equivalent(equivalent(X_11,equivalent(X_11,equivalent(equivalent(X_12,X_13),equivalent(equivalent(X_12,X_10),equivalent(X_13,X_10))))),equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14))))),
    inference(subst,[],[refute_0_7:[bind(U,$fot(X_10)),bind(X,$fot(X_11)),bind(Y,$fot(X_12)),bind(Z,$fot(X_13)),bind(X_6,$fot(X_14)),bind(X_8,$fot(X_15)),bind(X_9,$fot(X_16))]]) ).

cnf(refute_0_9,plain,
    ( ~ is_a_theorem(equivalent(X_11,equivalent(X_11,equivalent(equivalent(X_12,X_13),equivalent(equivalent(X_12,X_10),equivalent(X_13,X_10))))))
    | is_a_theorem(equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_11,equivalent(X_11,equivalent(equivalent(X_12,X_13),equivalent(equivalent(X_12,X_10),equivalent(X_13,X_10))))),equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14))))) )],[refute_0_8,refute_0_2]) ).

cnf(refute_0_10,plain,
    is_a_theorem(equivalent(X_11,equivalent(X_11,equivalent(equivalent(X_12,X_13),equivalent(equivalent(X_12,X_10),equivalent(X_13,X_10)))))),
    inference(subst,[],[lg_2:[bind(U,$fot(X_10)),bind(X,$fot(X_11)),bind(Y,$fot(X_12)),bind(Z,$fot(X_13))]]) ).

cnf(refute_0_11,plain,
    is_a_theorem(equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_11,equivalent(X_11,equivalent(equivalent(X_12,X_13),equivalent(equivalent(X_12,X_10),equivalent(X_13,X_10)))))) )],[refute_0_10,refute_0_9]) ).

cnf(refute_0_12,plain,
    is_a_theorem(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17)))),
    inference(subst,[],[refute_0_11:[bind(X_14,$fot(X_17)),bind(X_15,$fot(X_18)),bind(X_16,$fot(X_19))]]) ).

cnf(refute_0_13,plain,
    ( ~ is_a_theorem(equivalent(X_18,X_19))
    | is_a_theorem(equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17)))) )],[refute_0_12,refute_0_1]) ).

cnf(refute_0_14,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)),X_56637))
    | is_a_theorem(equivalent(equivalent(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)),X_17),equivalent(X_56637,X_17))) ),
    inference(subst,[],[refute_0_13:[bind(X_18,$fot(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)))),bind(X_19,$fot(X_56637))]]) ).

cnf(refute_0_15,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(X_486,X_487)))
    | is_a_theorem(equivalent(X_486,X_487)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)))),bind(Y,$fot(equivalent(X_486,X_487)))]]) ).

cnf(refute_0_16,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_30,X_31),X_32))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_30,X_31),X_32))),bind(Y,$fot(equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)))]]) ).

cnf(refute_0_17,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),X_26),equivalent(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)),X_26))) ),
    inference(subst,[],[refute_0_13:[bind(X_17,$fot(X_26)),bind(X_18,$fot(equivalent(X_15,X_16))),bind(X_19,$fot(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14))))]]) ).

cnf(refute_0_18,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),X_26),equivalent(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)),X_26))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_15,X_16),equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)))) )],[refute_0_11,refute_0_17]) ).

cnf(refute_0_19,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32))),
    inference(subst,[],[refute_0_18:[bind(X_14,$fot(X_29)),bind(X_15,$fot(X_30)),bind(X_16,$fot(X_31)),bind(X_26,$fot(X_32))]]) ).

cnf(refute_0_20,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_30,X_31),X_32))
    | is_a_theorem(equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32))) )],[refute_0_19,refute_0_16]) ).

cnf(refute_0_21,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_483,X_484),equivalent(X_483,X_484)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_483,X_29),equivalent(X_484,X_29)),equivalent(X_483,X_484))) ),
    inference(subst,[],[refute_0_20:[bind(X_30,$fot(X_483)),bind(X_31,$fot(X_484)),bind(X_32,$fot(equivalent(X_483,X_484)))]]) ).

cnf(refute_0_22,plain,
    is_a_theorem(equivalent(X_102,equivalent(X_102,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),
    inference(subst,[],[lg_2:[bind(X,$fot(X_102))]]) ).

cnf(refute_0_23,plain,
    ( ~ is_a_theorem(equivalent(X_42,X_41))
    | ~ is_a_theorem(equivalent(equivalent(X_42,X_41),equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41)))
    | is_a_theorem(equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_42,X_41))),bind(Y,$fot(equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41)))]]) ).

cnf(refute_0_24,plain,
    is_a_theorem(equivalent(X_27,equivalent(X_27,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),
    inference(subst,[],[lg_2:[bind(X,$fot(X_27))]]) ).

cnf(refute_0_25,plain,
    ( ~ is_a_theorem(equivalent(X_27,equivalent(X_27,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))
    | is_a_theorem(equivalent(equivalent(X_27,X_26),equivalent(equivalent(X_27,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X_26))) ),
    inference(subst,[],[refute_0_13:[bind(X_17,$fot(X_26)),bind(X_18,$fot(X_27)),bind(X_19,$fot(equivalent(X_27,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))]]) ).

cnf(refute_0_26,plain,
    is_a_theorem(equivalent(equivalent(X_27,X_26),equivalent(equivalent(X_27,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X_26))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_27,equivalent(X_27,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    is_a_theorem(equivalent(equivalent(X_42,X_41),equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41))),
    inference(subst,[],[refute_0_26:[bind(U,$fot(X_38)),bind(Y,$fot(X_39)),bind(Z,$fot(X_40)),bind(X_26,$fot(X_41)),bind(X_27,$fot(X_42))]]) ).

cnf(refute_0_28,plain,
    ( ~ is_a_theorem(equivalent(X_42,X_41))
    | is_a_theorem(equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_42,X_41),equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41))) )],[refute_0_27,refute_0_23]) ).

cnf(refute_0_29,plain,
    ( ~ is_a_theorem(equivalent(X_102,equivalent(X_102,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))
    | is_a_theorem(equivalent(equivalent(X_102,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))),equivalent(X_102,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) ),
    inference(subst,[],[refute_0_28:[bind(X_38,$fot(X_98)),bind(X_39,$fot(X_99)),bind(X_40,$fot(X_100)),bind(X_41,$fot(equivalent(X_102,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),bind(X_42,$fot(X_102))]]) ).

cnf(refute_0_30,plain,
    is_a_theorem(equivalent(equivalent(X_102,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))),equivalent(X_102,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_102,equivalent(X_102,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) )],[refute_0_22,refute_0_29]) ).

cnf(refute_0_31,plain,
    is_a_theorem(equivalent(equivalent(X_481,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))),equivalent(X_481,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))))),
    inference(subst,[],[refute_0_30:[bind(U,$fot(X_98)),bind(Y,$fot(X_99)),bind(Z,$fot(X_100)),bind(X_102,$fot(X_481))]]) ).

cnf(refute_0_32,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_127,X_126),equivalent(X_128,X_126)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_127,X_126),equivalent(X_128,X_126)),equivalent(equivalent(X_127,X_129),equivalent(X_128,X_129))))
    | is_a_theorem(equivalent(equivalent(X_127,X_129),equivalent(X_128,X_129))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_127,X_126),equivalent(X_128,X_126)))),bind(Y,$fot(equivalent(equivalent(X_127,X_129),equivalent(X_128,X_129))))]]) ).

cnf(refute_0_33,plain,
    is_a_theorem(equivalent(equivalent(X_118,X_119),equivalent(equivalent(X_118,X_14),equivalent(X_119,X_14)))),
    inference(subst,[],[refute_0_11:[bind(X_15,$fot(X_118)),bind(X_16,$fot(X_119))]]) ).

cnf(refute_0_34,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_118,X_119),equivalent(equivalent(X_118,X_14),equivalent(X_119,X_14))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_118,X_117),equivalent(X_119,X_117)),equivalent(equivalent(X_118,X_14),equivalent(X_119,X_14)))) ),
    inference(subst,[],[refute_0_20:[bind(X_29,$fot(X_117)),bind(X_30,$fot(X_118)),bind(X_31,$fot(X_119)),bind(X_32,$fot(equivalent(equivalent(X_118,X_14),equivalent(X_119,X_14))))]]) ).

cnf(refute_0_35,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_118,X_117),equivalent(X_119,X_117)),equivalent(equivalent(X_118,X_14),equivalent(X_119,X_14)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_118,X_119),equivalent(equivalent(X_118,X_14),equivalent(X_119,X_14)))) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_127,X_126),equivalent(X_128,X_126)),equivalent(equivalent(X_127,X_129),equivalent(X_128,X_129)))),
    inference(subst,[],[refute_0_35:[bind(X_117,$fot(X_126)),bind(X_118,$fot(X_127)),bind(X_119,$fot(X_128)),bind(X_14,$fot(X_129))]]) ).

cnf(refute_0_37,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_127,X_126),equivalent(X_128,X_126)))
    | is_a_theorem(equivalent(equivalent(X_127,X_129),equivalent(X_128,X_129))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_127,X_126),equivalent(X_128,X_126)),equivalent(equivalent(X_127,X_129),equivalent(X_128,X_129)))) )],[refute_0_36,refute_0_32]) ).

cnf(refute_0_38,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_481,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))),equivalent(X_481,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98))))))
    | is_a_theorem(equivalent(equivalent(X_481,X_482),equivalent(X_481,X_482))) ),
    inference(subst,[],[refute_0_37:[bind(X_126,$fot(equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98))))),bind(X_127,$fot(X_481)),bind(X_128,$fot(X_481)),bind(X_129,$fot(X_482))]]) ).

cnf(refute_0_39,plain,
    is_a_theorem(equivalent(equivalent(X_481,X_482),equivalent(X_481,X_482))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_481,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))),equivalent(X_481,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))))) )],[refute_0_31,refute_0_38]) ).

cnf(refute_0_40,plain,
    is_a_theorem(equivalent(equivalent(X_483,X_484),equivalent(X_483,X_484))),
    inference(subst,[],[refute_0_39:[bind(X_481,$fot(X_483)),bind(X_482,$fot(X_484))]]) ).

cnf(refute_0_41,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_483,X_29),equivalent(X_484,X_29)),equivalent(X_483,X_484))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_483,X_484),equivalent(X_483,X_484))) )],[refute_0_40,refute_0_21]) ).

cnf(refute_0_42,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(X_486,X_487))),
    inference(subst,[],[refute_0_41:[bind(X_29,$fot(X_485)),bind(X_483,$fot(X_486)),bind(X_484,$fot(X_487))]]) ).

cnf(refute_0_43,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)))
    | is_a_theorem(equivalent(X_486,X_487)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(X_486,X_487))) )],[refute_0_42,refute_0_15]) ).

cnf(refute_0_44,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_56634,equivalent(equivalent(X_56631,equivalent(X_56635,X_56635)),X_56631)),equivalent(equivalent(X_56635,X_56635),X_56631)),equivalent(X_56634,equivalent(equivalent(X_56635,X_56635),X_56631))))
    | is_a_theorem(equivalent(equivalent(X_56634,equivalent(equivalent(X_56631,equivalent(X_56635,X_56635)),X_56631)),X_56634)) ),
    inference(subst,[],[refute_0_43:[bind(X_485,$fot(equivalent(equivalent(X_56635,X_56635),X_56631))),bind(X_486,$fot(equivalent(X_56634,equivalent(equivalent(X_56631,equivalent(X_56635,X_56635)),X_56631)))),bind(X_487,$fot(X_56634))]]) ).

cnf(refute_0_45,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633),equivalent(X_635,X_633)))
    | is_a_theorem(equivalent(X_635,X_633)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633))),bind(Y,$fot(equivalent(X_635,X_633)))]]) ).

cnf(refute_0_46,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_632,equivalent(X_631,X_631)),X_632))
    | is_a_theorem(equivalent(equivalent(equivalent(X_632,equivalent(X_631,X_631)),X_17),equivalent(X_632,X_17))) ),
    inference(subst,[],[refute_0_13:[bind(X_18,$fot(equivalent(X_632,equivalent(X_631,X_631)))),bind(X_19,$fot(X_632))]]) ).

cnf(refute_0_47,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(X_486,X_487)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(X_486,X_487))) ),
    inference(subst,[],[refute_0_28:[bind(X_41,$fot(equivalent(X_486,X_487))),bind(X_42,$fot(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485))))]]) ).

cnf(refute_0_48,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(X_486,X_487))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(X_486,X_487))) )],[refute_0_42,refute_0_47]) ).

cnf(refute_0_49,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_630,equivalent(X_40,X_40)),equivalent(equivalent(X_39,X_40),equivalent(X_40,X_40))),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_40),equivalent(X_40,X_40)))),equivalent(X_630,equivalent(X_39,X_40)))),
    inference(subst,[],[refute_0_48:[bind(X_38,$fot(X_40)),bind(X_485,$fot(equivalent(X_40,X_40))),bind(X_486,$fot(X_630)),bind(X_487,$fot(equivalent(X_39,X_40)))]]) ).

cnf(refute_0_50,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_557,X_555),equivalent(X_556,X_555)),equivalent(X_558,X_556)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_557,X_555),equivalent(X_556,X_555)),equivalent(X_558,X_556)),equivalent(X_557,X_558)))
    | is_a_theorem(equivalent(X_557,X_558)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_557,X_555),equivalent(X_556,X_555)),equivalent(X_558,X_556)))),bind(Y,$fot(equivalent(X_557,X_558)))]]) ).

cnf(refute_0_51,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_35,X_36),X_37),X_33))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_36),X_37),X_33),equivalent(equivalent(equivalent(equivalent(X_35,X_34),equivalent(X_36,X_34)),X_37),X_33)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_34),equivalent(X_36,X_34)),X_37),X_33)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_35,X_36),X_37),X_33))),bind(Y,$fot(equivalent(equivalent(equivalent(equivalent(X_35,X_34),equivalent(X_36,X_34)),X_37),X_33)))]]) ).

cnf(refute_0_52,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),X_32),X_17),equivalent(equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32),X_17))) ),
    inference(subst,[],[refute_0_13:[bind(X_18,$fot(equivalent(equivalent(X_30,X_31),X_32))),bind(X_19,$fot(equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)))]]) ).

cnf(refute_0_53,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),X_32),X_17),equivalent(equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32),X_17))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32))) )],[refute_0_19,refute_0_52]) ).

cnf(refute_0_54,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_36),X_37),X_33),equivalent(equivalent(equivalent(equivalent(X_35,X_34),equivalent(X_36,X_34)),X_37),X_33))),
    inference(subst,[],[refute_0_53:[bind(X_17,$fot(X_33)),bind(X_29,$fot(X_34)),bind(X_30,$fot(X_35)),bind(X_31,$fot(X_36)),bind(X_32,$fot(X_37))]]) ).

cnf(refute_0_55,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_35,X_36),X_37),X_33))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_34),equivalent(X_36,X_34)),X_37),X_33)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_36),X_37),X_33),equivalent(equivalent(equivalent(equivalent(X_35,X_34),equivalent(X_36,X_34)),X_37),X_33))) )],[refute_0_54,refute_0_51]) ).

cnf(refute_0_56,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(X_486,X_487)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_486,X_34),equivalent(X_485,X_34)),equivalent(X_487,X_485)),equivalent(X_486,X_487))) ),
    inference(subst,[],[refute_0_55:[bind(X_33,$fot(equivalent(X_486,X_487))),bind(X_35,$fot(X_486)),bind(X_36,$fot(X_485)),bind(X_37,$fot(equivalent(X_487,X_485)))]]) ).

cnf(refute_0_57,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_486,X_34),equivalent(X_485,X_34)),equivalent(X_487,X_485)),equivalent(X_486,X_487))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_486,X_485),equivalent(X_487,X_485)),equivalent(X_486,X_487))) )],[refute_0_42,refute_0_56]) ).

cnf(refute_0_58,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_557,X_555),equivalent(X_556,X_555)),equivalent(X_558,X_556)),equivalent(X_557,X_558))),
    inference(subst,[],[refute_0_57:[bind(X_34,$fot(X_555)),bind(X_485,$fot(X_556)),bind(X_486,$fot(X_557)),bind(X_487,$fot(X_558))]]) ).

cnf(refute_0_59,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_557,X_555),equivalent(X_556,X_555)),equivalent(X_558,X_556)))
    | is_a_theorem(equivalent(X_557,X_558)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_557,X_555),equivalent(X_556,X_555)),equivalent(X_558,X_556)),equivalent(X_557,X_558))) )],[refute_0_58,refute_0_50]) ).

cnf(refute_0_60,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_630,equivalent(X_40,X_40)),equivalent(equivalent(X_39,X_40),equivalent(X_40,X_40))),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_40),equivalent(X_40,X_40)))),equivalent(X_630,equivalent(X_39,X_40))))
    | is_a_theorem(equivalent(equivalent(X_630,equivalent(X_40,X_40)),X_630)) ),
    inference(subst,[],[refute_0_59:[bind(X_555,$fot(equivalent(equivalent(X_39,X_40),equivalent(X_40,X_40)))),bind(X_556,$fot(equivalent(X_39,X_40))),bind(X_557,$fot(equivalent(X_630,equivalent(X_40,X_40)))),bind(X_558,$fot(X_630))]]) ).

cnf(refute_0_61,plain,
    is_a_theorem(equivalent(equivalent(X_630,equivalent(X_40,X_40)),X_630)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_630,equivalent(X_40,X_40)),equivalent(equivalent(X_39,X_40),equivalent(X_40,X_40))),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_40),equivalent(X_40,X_40)))),equivalent(X_630,equivalent(X_39,X_40)))) )],[refute_0_49,refute_0_60]) ).

cnf(refute_0_62,plain,
    is_a_theorem(equivalent(equivalent(X_632,equivalent(X_631,X_631)),X_632)),
    inference(subst,[],[refute_0_61:[bind(X_40,$fot(X_631)),bind(X_630,$fot(X_632))]]) ).

cnf(refute_0_63,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_632,equivalent(X_631,X_631)),X_17),equivalent(X_632,X_17))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_632,equivalent(X_631,X_631)),X_632)) )],[refute_0_62,refute_0_46]) ).

cnf(refute_0_64,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633),equivalent(X_635,X_633))),
    inference(subst,[],[refute_0_63:[bind(X_17,$fot(X_633)),bind(X_631,$fot(X_634)),bind(X_632,$fot(X_635))]]) ).

cnf(refute_0_65,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633))
    | is_a_theorem(equivalent(X_635,X_633)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633),equivalent(X_635,X_633))) )],[refute_0_64,refute_0_45]) ).

cnf(refute_0_66,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_56584,equivalent(equivalent(X_56582,X_56583),X_56581)),equivalent(X_56583,X_56582)),equivalent(X_634,X_634)),equivalent(X_56584,equivalent(equivalent(X_634,X_634),X_56581))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_56584,equivalent(equivalent(X_56582,X_56583),X_56581)),equivalent(X_56583,X_56582)),equivalent(X_56584,equivalent(equivalent(X_634,X_634),X_56581)))) ),
    inference(subst,[],[refute_0_65:[bind(X_633,$fot(equivalent(X_56584,equivalent(equivalent(X_634,X_634),X_56581)))),bind(X_635,$fot(equivalent(equivalent(X_56584,equivalent(equivalent(X_56582,X_56583),X_56581)),equivalent(X_56583,X_56582))))]]) ).

cnf(refute_0_67,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_489,X_488),equivalent(X_490,X_488)),X_491))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_489,X_488),equivalent(X_490,X_488)),X_491),equivalent(equivalent(X_489,X_490),X_491)))
    | is_a_theorem(equivalent(equivalent(X_489,X_490),X_491)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_489,X_488),equivalent(X_490,X_488)),X_491))),bind(Y,$fot(equivalent(equivalent(X_489,X_490),X_491)))]]) ).

cnf(refute_0_68,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_363,X_364),equivalent(X_119,X_364)),equivalent(equivalent(X_363,X_14),equivalent(X_119,X_14)))),
    inference(subst,[],[refute_0_35:[bind(X_117,$fot(X_364)),bind(X_118,$fot(X_363))]]) ).

cnf(refute_0_69,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_363,X_364),equivalent(X_119,X_364)),equivalent(equivalent(X_363,X_14),equivalent(X_119,X_14))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),equivalent(X_119,X_364)),equivalent(equivalent(X_363,X_14),equivalent(X_119,X_14)))) ),
    inference(subst,[],[refute_0_55:[bind(X_33,$fot(equivalent(equivalent(X_363,X_14),equivalent(X_119,X_14)))),bind(X_34,$fot(X_362)),bind(X_35,$fot(X_363)),bind(X_36,$fot(X_364)),bind(X_37,$fot(equivalent(X_119,X_364)))]]) ).

cnf(refute_0_70,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),equivalent(X_119,X_364)),equivalent(equivalent(X_363,X_14),equivalent(X_119,X_14)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_363,X_364),equivalent(X_119,X_364)),equivalent(equivalent(X_363,X_14),equivalent(X_119,X_14)))) )],[refute_0_68,refute_0_69]) ).

cnf(refute_0_71,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),equivalent(X_119,X_364)),equivalent(equivalent(X_363,X_364),equivalent(X_119,X_364)))),
    inference(subst,[],[refute_0_70:[bind(X_14,$fot(X_364))]]) ).

cnf(refute_0_72,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),equivalent(X_119,X_364)),equivalent(equivalent(X_363,X_364),equivalent(X_119,X_364))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),X_482),equivalent(equivalent(X_363,X_364),X_482))) ),
    inference(subst,[],[refute_0_37:[bind(X_126,$fot(equivalent(X_119,X_364))),bind(X_127,$fot(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)))),bind(X_128,$fot(equivalent(X_363,X_364))),bind(X_129,$fot(X_482))]]) ).

cnf(refute_0_73,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),X_482),equivalent(equivalent(X_363,X_364),X_482))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),equivalent(X_119,X_364)),equivalent(equivalent(X_363,X_364),equivalent(X_119,X_364)))) )],[refute_0_71,refute_0_72]) ).

cnf(refute_0_74,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_489,X_488),equivalent(X_490,X_488)),X_491),equivalent(equivalent(X_489,X_490),X_491))),
    inference(subst,[],[refute_0_73:[bind(X_362,$fot(X_488)),bind(X_363,$fot(X_489)),bind(X_364,$fot(X_490)),bind(X_482,$fot(X_491))]]) ).

cnf(refute_0_75,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_489,X_488),equivalent(X_490,X_488)),X_491))
    | is_a_theorem(equivalent(equivalent(X_489,X_490),X_491)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_489,X_488),equivalent(X_490,X_488)),X_491),equivalent(equivalent(X_489,X_490),X_491))) )],[refute_0_74,refute_0_67]) ).

cnf(refute_0_76,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_56578,equivalent(equivalent(X_56576,X_56577),X_56575)),equivalent(X_56577,X_56576)),X_56575),equivalent(X_490,X_56575)),equivalent(X_56578,equivalent(X_490,X_56575))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_56578,equivalent(equivalent(X_56576,X_56577),X_56575)),equivalent(X_56577,X_56576)),X_490),equivalent(X_56578,equivalent(X_490,X_56575)))) ),
    inference(subst,[],[refute_0_75:[bind(X_488,$fot(X_56575)),bind(X_489,$fot(equivalent(equivalent(X_56578,equivalent(equivalent(X_56576,X_56577),X_56575)),equivalent(X_56577,X_56576)))),bind(X_491,$fot(equivalent(X_56578,equivalent(X_490,X_56575))))]]) ).

cnf(refute_0_77,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_2416,equivalent(equivalent(X_2417,X_2417),X_2415)),X_2418))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_2416,equivalent(equivalent(X_2417,X_2417),X_2415)),X_2418),equivalent(X_2416,equivalent(X_2418,X_2415))))
    | is_a_theorem(equivalent(X_2416,equivalent(X_2418,X_2415))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_2416,equivalent(equivalent(X_2417,X_2417),X_2415)),X_2418))),bind(Y,$fot(equivalent(X_2416,equivalent(X_2418,X_2415))))]]) ).

cnf(refute_0_78,plain,
    ( ~ is_a_theorem(equivalent(X_632,equivalent(X_631,X_631)))
    | ~ is_a_theorem(equivalent(equivalent(X_632,equivalent(X_631,X_631)),X_632))
    | is_a_theorem(X_632) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_632,equivalent(X_631,X_631)))),bind(Y,$fot(X_632))]]) ).

cnf(refute_0_79,plain,
    ( ~ is_a_theorem(equivalent(X_632,equivalent(X_631,X_631)))
    | is_a_theorem(X_632) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_632,equivalent(X_631,X_631)),X_632)) )],[refute_0_62,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2411,equivalent(equivalent(X_2412,X_2412),X_2410)),X_2414),equivalent(X_2411,equivalent(X_2414,X_2410))),equivalent(equivalent(X_2411,equivalent(X_2414,X_2410)),equivalent(X_2411,equivalent(X_2414,X_2410)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_2411,equivalent(equivalent(X_2412,X_2412),X_2410)),X_2414),equivalent(X_2411,equivalent(X_2414,X_2410)))) ),
    inference(subst,[],[refute_0_79:[bind(X_631,$fot(equivalent(X_2411,equivalent(X_2414,X_2410)))),bind(X_632,$fot(equivalent(equivalent(equivalent(X_2411,equivalent(equivalent(X_2412,X_2412),X_2410)),X_2414),equivalent(X_2411,equivalent(X_2414,X_2410)))))]]) ).

cnf(refute_0_81,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_368,X_367),equivalent(X_369,X_367)),X_370))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_368,X_367),equivalent(X_369,X_367)),X_370),equivalent(equivalent(equivalent(X_368,X_369),X_366),equivalent(X_370,X_366))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_368,X_369),X_366),equivalent(X_370,X_366))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_368,X_367),equivalent(X_369,X_367)),X_370))),bind(Y,$fot(equivalent(equivalent(equivalent(X_368,X_369),X_366),equivalent(X_370,X_366))))]]) ).

cnf(refute_0_82,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_363,X_364),X_365),equivalent(equivalent(equivalent(X_363,X_364),X_14),equivalent(X_365,X_14)))),
    inference(subst,[],[refute_0_11:[bind(X_15,$fot(equivalent(X_363,X_364))),bind(X_16,$fot(X_365))]]) ).

cnf(refute_0_83,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_363,X_364),X_365),equivalent(equivalent(equivalent(X_363,X_364),X_14),equivalent(X_365,X_14))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),X_365),equivalent(equivalent(equivalent(X_363,X_364),X_14),equivalent(X_365,X_14)))) ),
    inference(subst,[],[refute_0_55:[bind(X_33,$fot(equivalent(equivalent(equivalent(X_363,X_364),X_14),equivalent(X_365,X_14)))),bind(X_34,$fot(X_362)),bind(X_35,$fot(X_363)),bind(X_36,$fot(X_364)),bind(X_37,$fot(X_365))]]) ).

cnf(refute_0_84,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),X_365),equivalent(equivalent(equivalent(X_363,X_364),X_14),equivalent(X_365,X_14)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_363,X_364),X_365),equivalent(equivalent(equivalent(X_363,X_364),X_14),equivalent(X_365,X_14)))) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_368,X_367),equivalent(X_369,X_367)),X_370),equivalent(equivalent(equivalent(X_368,X_369),X_366),equivalent(X_370,X_366)))),
    inference(subst,[],[refute_0_84:[bind(X_14,$fot(X_366)),bind(X_362,$fot(X_367)),bind(X_363,$fot(X_368)),bind(X_364,$fot(X_369)),bind(X_365,$fot(X_370))]]) ).

cnf(refute_0_86,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_368,X_367),equivalent(X_369,X_367)),X_370))
    | is_a_theorem(equivalent(equivalent(equivalent(X_368,X_369),X_366),equivalent(X_370,X_366))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_368,X_367),equivalent(X_369,X_367)),X_370),equivalent(equivalent(equivalent(X_368,X_369),X_366),equivalent(X_370,X_366)))) )],[refute_0_85,refute_0_81]) ).

cnf(refute_0_87,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1582,equivalent(equivalent(X_1583,X_1583),X_1581)),X_1581),equivalent(X_369,X_1581)),equivalent(X_1582,equivalent(X_369,X_1581))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1582,equivalent(equivalent(X_1583,X_1583),X_1581)),X_369),X_366),equivalent(equivalent(X_1582,equivalent(X_369,X_1581)),X_366))) ),
    inference(subst,[],[refute_0_86:[bind(X_367,$fot(X_1581)),bind(X_368,$fot(equivalent(X_1582,equivalent(equivalent(X_1583,X_1583),X_1581)))),bind(X_370,$fot(equivalent(X_1582,equivalent(X_369,X_1581))))]]) ).

cnf(refute_0_88,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)),X_703),equivalent(X_704,X_703)),equivalent(equivalent(X_706,X_706),X_704)),equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)),X_703),equivalent(X_704,X_703)),X_487)) ),
    inference(subst,[],[refute_0_43:[bind(X_485,$fot(equivalent(equivalent(X_706,X_706),X_704))),bind(X_486,$fot(equivalent(equivalent(equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)),X_703),equivalent(X_704,X_703))))]]) ).

cnf(refute_0_89,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_659,X_658),equivalent(equivalent(X_660,X_660),X_658)),X_659))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_659,X_34),equivalent(X_658,X_34)),equivalent(equivalent(X_660,X_660),X_658)),X_659)) ),
    inference(subst,[],[refute_0_55:[bind(X_33,$fot(X_659)),bind(X_35,$fot(X_659)),bind(X_36,$fot(X_658)),bind(X_37,$fot(equivalent(equivalent(X_660,X_660),X_658)))]]) ).

cnf(refute_0_90,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_655,X_654),equivalent(equivalent(X_657,X_657),X_654)),equivalent(X_657,X_657)),equivalent(X_655,equivalent(X_657,X_657))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_655,X_654),equivalent(equivalent(X_657,X_657),X_654)),X_655)) ),
    inference(subst,[],[refute_0_43:[bind(X_485,$fot(equivalent(X_657,X_657))),bind(X_486,$fot(equivalent(equivalent(X_655,X_654),equivalent(equivalent(X_657,X_657),X_654)))),bind(X_487,$fot(X_655))]]) ).

cnf(refute_0_91,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_631,X_631)),equivalent(X_35,X_36)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_34),equivalent(X_36,X_34)),equivalent(X_631,X_631)),equivalent(X_35,X_36))) ),
    inference(subst,[],[refute_0_55:[bind(X_33,$fot(equivalent(X_35,X_36))),bind(X_37,$fot(equivalent(X_631,X_631)))]]) ).

cnf(refute_0_92,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_631,X_631)),equivalent(X_35,X_36))),
    inference(subst,[],[refute_0_61:[bind(X_40,$fot(X_631)),bind(X_630,$fot(equivalent(X_35,X_36)))]]) ).

cnf(refute_0_93,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_35,X_34),equivalent(X_36,X_34)),equivalent(X_631,X_631)),equivalent(X_35,X_36))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_35,X_36),equivalent(X_631,X_631)),equivalent(X_35,X_36))) )],[refute_0_92,refute_0_91]) ).

cnf(refute_0_94,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_655,X_654),equivalent(equivalent(X_657,X_657),X_654)),equivalent(X_657,X_657)),equivalent(X_655,equivalent(X_657,X_657)))),
    inference(subst,[],[refute_0_93:[bind(X_34,$fot(X_654)),bind(X_35,$fot(X_655)),bind(X_36,$fot(equivalent(X_657,X_657))),bind(X_631,$fot(X_657))]]) ).

cnf(refute_0_95,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_655,X_654),equivalent(equivalent(X_657,X_657),X_654)),X_655)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_655,X_654),equivalent(equivalent(X_657,X_657),X_654)),equivalent(X_657,X_657)),equivalent(X_655,equivalent(X_657,X_657)))) )],[refute_0_94,refute_0_90]) ).

cnf(refute_0_96,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_659,X_658),equivalent(equivalent(X_660,X_660),X_658)),X_659)),
    inference(subst,[],[refute_0_95:[bind(X_654,$fot(X_658)),bind(X_655,$fot(X_659)),bind(X_657,$fot(X_660))]]) ).

cnf(refute_0_97,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_659,X_34),equivalent(X_658,X_34)),equivalent(equivalent(X_660,X_660),X_658)),X_659)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_659,X_658),equivalent(equivalent(X_660,X_660),X_658)),X_659)) )],[refute_0_96,refute_0_89]) ).

cnf(refute_0_98,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)),X_703),equivalent(X_704,X_703)),equivalent(equivalent(X_706,X_706),X_704)),equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)))),
    inference(subst,[],[refute_0_97:[bind(X_34,$fot(X_703)),bind(X_658,$fot(X_704)),bind(X_659,$fot(equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)))),bind(X_660,$fot(X_706))]]) ).

cnf(refute_0_99,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)),X_703),equivalent(X_704,X_703)),X_487)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)),X_703),equivalent(X_704,X_703)),equivalent(equivalent(X_706,X_706),X_704)),equivalent(X_487,equivalent(equivalent(X_706,X_706),X_704)))) )],[refute_0_98,refute_0_88]) ).

cnf(refute_0_100,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1542,equivalent(equivalent(X_706,X_706),X_1541)),X_1539),equivalent(X_1541,X_1539)),X_1542)),
    inference(subst,[],[refute_0_99:[bind(X_487,$fot(X_1542)),bind(X_703,$fot(X_1539)),bind(X_704,$fot(X_1541))]]) ).

cnf(refute_0_101,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1542,equivalent(equivalent(X_706,X_706),X_1541)),X_1539),equivalent(X_1541,X_1539)),X_1542))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1542,equivalent(equivalent(X_706,X_706),X_1541)),X_1541),X_1538),equivalent(X_1542,X_1538))) ),
    inference(subst,[],[refute_0_86:[bind(X_366,$fot(X_1538)),bind(X_367,$fot(X_1539)),bind(X_368,$fot(equivalent(X_1542,equivalent(equivalent(X_706,X_706),X_1541)))),bind(X_369,$fot(X_1541)),bind(X_370,$fot(X_1542))]]) ).

cnf(refute_0_102,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1542,equivalent(equivalent(X_706,X_706),X_1541)),X_1541),X_1538),equivalent(X_1542,X_1538))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1542,equivalent(equivalent(X_706,X_706),X_1541)),X_1539),equivalent(X_1541,X_1539)),X_1542)) )],[refute_0_100,refute_0_101]) ).

cnf(refute_0_103,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1582,equivalent(equivalent(X_1583,X_1583),X_1581)),X_1581),equivalent(X_369,X_1581)),equivalent(X_1582,equivalent(X_369,X_1581)))),
    inference(subst,[],[refute_0_102:[bind(X_1538,$fot(equivalent(X_369,X_1581))),bind(X_1541,$fot(X_1581)),bind(X_1542,$fot(X_1582)),bind(X_706,$fot(X_1583))]]) ).

cnf(refute_0_104,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1582,equivalent(equivalent(X_1583,X_1583),X_1581)),X_369),X_366),equivalent(equivalent(X_1582,equivalent(X_369,X_1581)),X_366))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1582,equivalent(equivalent(X_1583,X_1583),X_1581)),X_1581),equivalent(X_369,X_1581)),equivalent(X_1582,equivalent(X_369,X_1581)))) )],[refute_0_103,refute_0_87]) ).

cnf(refute_0_105,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2411,equivalent(equivalent(X_2412,X_2412),X_2410)),X_2414),equivalent(X_2411,equivalent(X_2414,X_2410))),equivalent(equivalent(X_2411,equivalent(X_2414,X_2410)),equivalent(X_2411,equivalent(X_2414,X_2410))))),
    inference(subst,[],[refute_0_104:[bind(X_1581,$fot(X_2410)),bind(X_1582,$fot(X_2411)),bind(X_1583,$fot(X_2412)),bind(X_366,$fot(equivalent(X_2411,equivalent(X_2414,X_2410)))),bind(X_369,$fot(X_2414))]]) ).

cnf(refute_0_106,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2411,equivalent(equivalent(X_2412,X_2412),X_2410)),X_2414),equivalent(X_2411,equivalent(X_2414,X_2410)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2411,equivalent(equivalent(X_2412,X_2412),X_2410)),X_2414),equivalent(X_2411,equivalent(X_2414,X_2410))),equivalent(equivalent(X_2411,equivalent(X_2414,X_2410)),equivalent(X_2411,equivalent(X_2414,X_2410))))) )],[refute_0_105,refute_0_80]) ).

cnf(refute_0_107,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2416,equivalent(equivalent(X_2417,X_2417),X_2415)),X_2418),equivalent(X_2416,equivalent(X_2418,X_2415)))),
    inference(subst,[],[refute_0_106:[bind(X_2410,$fot(X_2415)),bind(X_2411,$fot(X_2416)),bind(X_2412,$fot(X_2417)),bind(X_2414,$fot(X_2418))]]) ).

cnf(refute_0_108,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_2416,equivalent(equivalent(X_2417,X_2417),X_2415)),X_2418))
    | is_a_theorem(equivalent(X_2416,equivalent(X_2418,X_2415))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_2416,equivalent(equivalent(X_2417,X_2417),X_2415)),X_2418),equivalent(X_2416,equivalent(X_2418,X_2415)))) )],[refute_0_107,refute_0_77]) ).

cnf(refute_0_109,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_56567,equivalent(equivalent(X_56564,X_56565),X_56563)),equivalent(X_56565,X_56564)),X_56563),X_56568),equivalent(equivalent(X_56563,X_56563),X_56568)),X_56567))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_56567,equivalent(equivalent(X_56564,X_56565),X_56563)),equivalent(X_56565,X_56564)),X_56563),X_56568),equivalent(X_56567,X_56568))) ),
    inference(subst,[],[refute_0_108:[bind(X_2415,$fot(X_56568)),bind(X_2416,$fot(equivalent(equivalent(equivalent(equivalent(X_56567,equivalent(equivalent(X_56564,X_56565),X_56563)),equivalent(X_56565,X_56564)),X_56563),X_56568))),bind(X_2417,$fot(X_56563)),bind(X_2418,$fot(X_56567))]]) ).

cnf(refute_0_110,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_872,equivalent(X_870,X_870)),X_873))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_870,X_870)),X_873),equivalent(equivalent(X_872,X_871),equivalent(X_873,X_871))))
    | is_a_theorem(equivalent(equivalent(X_872,X_871),equivalent(X_873,X_871))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_872,equivalent(X_870,X_870)),X_873))),bind(Y,$fot(equivalent(equivalent(X_872,X_871),equivalent(X_873,X_871))))]]) ).

cnf(refute_0_111,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633),equivalent(X_635,X_633)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633),X_17),equivalent(equivalent(X_635,X_633),X_17))) ),
    inference(subst,[],[refute_0_13:[bind(X_18,$fot(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633))),bind(X_19,$fot(equivalent(X_635,X_633)))]]) ).

cnf(refute_0_112,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633),X_17),equivalent(equivalent(X_635,X_633),X_17))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_635,equivalent(X_634,X_634)),X_633),equivalent(X_635,X_633))) )],[refute_0_64,refute_0_111]) ).

cnf(refute_0_113,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_867,equivalent(X_634,X_634)),X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866))),equivalent(equivalent(X_867,X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866))))),
    inference(subst,[],[refute_0_112:[bind(X_17,$fot(equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866)))),bind(X_633,$fot(X_868)),bind(X_635,$fot(X_867))]]) ).

cnf(refute_0_114,plain,
    ( ~ is_a_theorem(equivalent(X_606,equivalent(equivalent(X_604,X_605),equivalent(equivalent(X_604,X_603),equivalent(X_605,X_603)))))
    | ~ is_a_theorem(equivalent(equivalent(X_606,equivalent(equivalent(X_604,X_605),equivalent(equivalent(X_604,X_603),equivalent(X_605,X_603)))),X_606))
    | is_a_theorem(X_606) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_606,equivalent(equivalent(X_604,X_605),equivalent(equivalent(X_604,X_603),equivalent(X_605,X_603)))))),bind(Y,$fot(X_606))]]) ).

cnf(refute_0_115,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_483,X_484),equivalent(X_483,X_484)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_483,X_484),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(X_483,X_484))) ),
    inference(subst,[],[refute_0_28:[bind(X_41,$fot(equivalent(X_483,X_484))),bind(X_42,$fot(equivalent(X_483,X_484)))]]) ).

cnf(refute_0_116,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_483,X_484),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(X_483,X_484))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_483,X_484),equivalent(X_483,X_484))) )],[refute_0_40,refute_0_115]) ).

cnf(refute_0_117,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))))),
    inference(subst,[],[refute_0_116:[bind(X_483,$fot(X_593)),bind(X_484,$fot(equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))))]]) ).

cnf(refute_0_118,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38))))))
    | is_a_theorem(equivalent(equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_593)) ),
    inference(subst,[],[refute_0_43:[bind(X_485,$fot(equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38))))),bind(X_486,$fot(equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))))),bind(X_487,$fot(X_593))]]) ).

cnf(refute_0_119,plain,
    is_a_theorem(equivalent(equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_593)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),equivalent(X_593,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))))) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    is_a_theorem(equivalent(equivalent(X_606,equivalent(equivalent(X_604,X_605),equivalent(equivalent(X_604,X_603),equivalent(X_605,X_603)))),X_606)),
    inference(subst,[],[refute_0_119:[bind(X_38,$fot(X_603)),bind(X_39,$fot(X_604)),bind(X_40,$fot(X_605)),bind(X_593,$fot(X_606))]]) ).

cnf(refute_0_121,plain,
    ( ~ is_a_theorem(equivalent(X_606,equivalent(equivalent(X_604,X_605),equivalent(equivalent(X_604,X_603),equivalent(X_605,X_603)))))
    | is_a_theorem(X_606) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_606,equivalent(equivalent(X_604,X_605),equivalent(equivalent(X_604,X_603),equivalent(X_605,X_603)))),X_606)) )],[refute_0_120,refute_0_114]) ).

cnf(refute_0_122,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_867,equivalent(X_634,X_634)),X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866))),equivalent(equivalent(X_867,X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_867,equivalent(X_634,X_634)),X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866)))) ),
    inference(subst,[],[refute_0_121:[bind(X_603,$fot(X_866)),bind(X_604,$fot(X_867)),bind(X_605,$fot(X_868)),bind(X_606,$fot(equivalent(equivalent(equivalent(X_867,equivalent(X_634,X_634)),X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866)))))]]) ).

cnf(refute_0_123,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_867,equivalent(X_634,X_634)),X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_867,equivalent(X_634,X_634)),X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866))),equivalent(equivalent(X_867,X_868),equivalent(equivalent(X_867,X_866),equivalent(X_868,X_866))))) )],[refute_0_113,refute_0_122]) ).

cnf(refute_0_124,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_870,X_870)),X_873),equivalent(equivalent(X_872,X_871),equivalent(X_873,X_871)))),
    inference(subst,[],[refute_0_123:[bind(X_634,$fot(X_870)),bind(X_866,$fot(X_871)),bind(X_867,$fot(X_872)),bind(X_868,$fot(X_873))]]) ).

cnf(refute_0_125,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_872,equivalent(X_870,X_870)),X_873))
    | is_a_theorem(equivalent(equivalent(X_872,X_871),equivalent(X_873,X_871))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_872,equivalent(X_870,X_870)),X_873),equivalent(equivalent(X_872,X_871),equivalent(X_873,X_871)))) )],[refute_0_124,refute_0_110]) ).

cnf(refute_0_126,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_38161,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)),equivalent(X_38159,X_38159)),X_38161))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_38161,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)),X_871),equivalent(X_38161,X_871))) ),
    inference(subst,[],[refute_0_125:[bind(X_870,$fot(X_38159)),bind(X_872,$fot(equivalent(equivalent(equivalent(equivalent(X_38161,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)))),bind(X_873,$fot(X_38161))]]) ).

cnf(refute_0_127,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_38071,equivalent(equivalent(X_38067,X_38068),X_38070)),equivalent(X_38068,X_38067)),X_38069),equivalent(X_38070,X_38069)),X_38071))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_38071,equivalent(equivalent(X_38067,X_38068),X_38070)),equivalent(X_38068,X_38067)),X_34),equivalent(X_38069,X_34)),equivalent(X_38070,X_38069)),X_38071)) ),
    inference(subst,[],[refute_0_55:[bind(X_33,$fot(X_38071)),bind(X_35,$fot(equivalent(equivalent(X_38071,equivalent(equivalent(X_38067,X_38068),X_38070)),equivalent(X_38068,X_38067)))),bind(X_36,$fot(X_38069)),bind(X_37,$fot(equivalent(X_38070,X_38069)))]]) ).

cnf(refute_0_128,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_764,X_763),equivalent(equivalent(X_765,X_762),equivalent(X_763,X_762))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_764,X_763),equivalent(equivalent(X_765,X_762),equivalent(X_763,X_762))),equivalent(X_764,X_765)))
    | is_a_theorem(equivalent(X_764,X_765)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_764,X_763),equivalent(equivalent(X_765,X_762),equivalent(X_763,X_762))))),bind(Y,$fot(equivalent(X_764,X_765)))]]) ).

cnf(refute_0_129,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_265,X_264),equivalent(X_266,X_264)),equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_262,X_263),equivalent(equivalent(X_262,X_261),equivalent(X_263,X_261))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),X_29),equivalent(equivalent(X_266,X_264),X_29)),equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_262,X_263),equivalent(equivalent(X_262,X_261),equivalent(X_263,X_261)))))) ),
    inference(subst,[],[refute_0_20:[bind(X_30,$fot(equivalent(X_265,X_264))),bind(X_31,$fot(equivalent(X_266,X_264))),bind(X_32,$fot(equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_262,X_263),equivalent(equivalent(X_262,X_261),equivalent(X_263,X_261))))))]]) ).

cnf(refute_0_130,plain,
    is_a_theorem(equivalent(equivalent(X_118,X_119),equivalent(equivalent(X_118,X_119),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),
    inference(subst,[],[lg_2:[bind(X,$fot(equivalent(X_118,X_119)))]]) ).

cnf(refute_0_131,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_118,X_119),equivalent(equivalent(X_118,X_119),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_118,X_117),equivalent(X_119,X_117)),equivalent(equivalent(X_118,X_119),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) ),
    inference(subst,[],[refute_0_20:[bind(X_29,$fot(X_117)),bind(X_30,$fot(X_118)),bind(X_31,$fot(X_119)),bind(X_32,$fot(equivalent(equivalent(X_118,X_119),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))]]) ).

cnf(refute_0_132,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_118,X_117),equivalent(X_119,X_117)),equivalent(equivalent(X_118,X_119),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_118,X_119),equivalent(equivalent(X_118,X_119),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_265,X_264),equivalent(X_266,X_264)),equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_262,X_263),equivalent(equivalent(X_262,X_261),equivalent(X_263,X_261)))))),
    inference(subst,[],[refute_0_132:[bind(U,$fot(X_261)),bind(Y,$fot(X_262)),bind(Z,$fot(X_263)),bind(X_117,$fot(X_264)),bind(X_118,$fot(X_265)),bind(X_119,$fot(X_266))]]) ).

cnf(refute_0_134,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),X_29),equivalent(equivalent(X_266,X_264),X_29)),equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_262,X_263),equivalent(equivalent(X_262,X_261),equivalent(X_263,X_261)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_265,X_264),equivalent(X_266,X_264)),equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_262,X_263),equivalent(equivalent(X_262,X_261),equivalent(X_263,X_261)))))) )],[refute_0_133,refute_0_129]) ).

cnf(refute_0_135,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),equivalent(equivalent(X_266,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261)))),equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_266,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261)))))),
    inference(subst,[],[refute_0_134:[bind(X_262,$fot(X_266)),bind(X_263,$fot(X_264)),bind(X_29,$fot(equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))))]]) ).

cnf(refute_0_136,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),equivalent(equivalent(X_266,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261)))),equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_266,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),X_482),equivalent(equivalent(X_265,X_266),X_482))) ),
    inference(subst,[],[refute_0_37:[bind(X_126,$fot(equivalent(equivalent(X_266,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))))),bind(X_127,$fot(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))))),bind(X_128,$fot(equivalent(X_265,X_266))),bind(X_129,$fot(X_482))]]) ).

cnf(refute_0_137,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),X_482),equivalent(equivalent(X_265,X_266),X_482))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),equivalent(equivalent(X_266,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261)))),equivalent(equivalent(X_265,X_266),equivalent(equivalent(X_266,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261)))))) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),X_591),equivalent(equivalent(X_265,X_266),X_591))),
    inference(subst,[],[refute_0_137:[bind(X_482,$fot(X_591))]]) ).

cnf(refute_0_139,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),X_591),equivalent(equivalent(X_265,X_266),X_591)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),equivalent(X_265,X_266))) ),
    inference(subst,[],[refute_0_43:[bind(X_485,$fot(X_591)),bind(X_486,$fot(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))))),bind(X_487,$fot(equivalent(X_265,X_266)))]]) ).

cnf(refute_0_140,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),equivalent(X_265,X_266))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_265,X_264),equivalent(equivalent(X_266,X_261),equivalent(X_264,X_261))),X_591),equivalent(equivalent(X_265,X_266),X_591))) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_764,X_763),equivalent(equivalent(X_765,X_762),equivalent(X_763,X_762))),equivalent(X_764,X_765))),
    inference(subst,[],[refute_0_140:[bind(X_261,$fot(X_762)),bind(X_264,$fot(X_763)),bind(X_265,$fot(X_764)),bind(X_266,$fot(X_765))]]) ).

cnf(refute_0_142,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_764,X_763),equivalent(equivalent(X_765,X_762),equivalent(X_763,X_762))))
    | is_a_theorem(equivalent(X_764,X_765)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_764,X_763),equivalent(equivalent(X_765,X_762),equivalent(X_763,X_762))),equivalent(X_764,X_765))) )],[refute_0_141,refute_0_128]) ).

cnf(refute_0_143,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)),equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064))),equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)),equivalent(equivalent(X_38062,X_38063),X_38065)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)),X_765)) ),
    inference(subst,[],[refute_0_142:[bind(X_762,$fot(equivalent(equivalent(X_38062,X_38063),X_38065))),bind(X_763,$fot(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)))),bind(X_764,$fot(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064))))]]) ).

cnf(refute_0_144,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_33810,X_33810),equivalent(equivalent(X_33810,X_33808),equivalent(X_33810,X_33808))),equivalent(X_33803,equivalent(equivalent(equivalent(equivalent(X_33803,equivalent(X_33805,X_33804)),X_33806),equivalent(X_33807,X_33806)),equivalent(equivalent(X_33804,X_33805),X_33807)))))
    | is_a_theorem(equivalent(equivalent(X_33810,X_33810),equivalent(X_33803,equivalent(equivalent(equivalent(equivalent(X_33803,equivalent(X_33805,X_33804)),X_33806),equivalent(X_33807,X_33806)),equivalent(equivalent(X_33804,X_33805),X_33807))))) ),
    inference(subst,[],[refute_0_65:[bind(X_633,$fot(equivalent(X_33803,equivalent(equivalent(equivalent(equivalent(X_33803,equivalent(X_33805,X_33804)),X_33806),equivalent(X_33807,X_33806)),equivalent(equivalent(X_33804,X_33805),X_33807))))),bind(X_634,$fot(equivalent(X_33810,X_33808))),bind(X_635,$fot(equivalent(X_33810,X_33810)))]]) ).

cnf(refute_0_145,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762)),equivalent(X_16761,X_16760)),equivalent(X_128,equivalent(X_16761,X_16760))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762)),X_129),equivalent(X_128,X_129))) ),
    inference(subst,[],[refute_0_37:[bind(X_126,$fot(equivalent(X_16761,X_16760))),bind(X_127,$fot(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762))))]]) ).

cnf(refute_0_146,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)),equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754))),equivalent(equivalent(X_16757,equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754))),equivalent(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)),equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)),X_16757)) ),
    inference(subst,[],[refute_0_142:[bind(X_762,$fot(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)))),bind(X_763,$fot(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)))),bind(X_764,$fot(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)))),bind(X_765,$fot(X_16757))]]) ).

cnf(refute_0_147,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1546,X_1546),equivalent(X_1545,X_1545)),X_1543))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1546,X_1546),equivalent(X_1545,X_1545)),X_1543),equivalent(equivalent(X_1544,X_1544),X_1543)))
    | is_a_theorem(equivalent(equivalent(X_1544,X_1544),X_1543)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_1546,X_1546),equivalent(X_1545,X_1545)),X_1543))),bind(Y,$fot(equivalent(equivalent(X_1544,X_1544),X_1543)))]]) ).

cnf(refute_0_148,plain,
    ( ~ is_a_theorem(X_644)
    | ~ is_a_theorem(equivalent(X_644,equivalent(X_644,equivalent(X_645,X_645))))
    | is_a_theorem(equivalent(X_644,equivalent(X_645,X_645))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_644)),bind(Y,$fot(equivalent(X_644,equivalent(X_645,X_645))))]]) ).

cnf(refute_0_149,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_557,equivalent(X_642,X_642)),equivalent(equivalent(X_641,X_642),equivalent(X_642,X_642))),equivalent(equivalent(X_557,equivalent(X_642,X_642)),equivalent(X_641,X_642))))
    | is_a_theorem(equivalent(X_557,equivalent(X_557,equivalent(X_642,X_642)))) ),
    inference(subst,[],[refute_0_59:[bind(X_555,$fot(equivalent(X_642,X_642))),bind(X_556,$fot(equivalent(X_641,X_642))),bind(X_558,$fot(equivalent(X_557,equivalent(X_642,X_642))))]]) ).

cnf(refute_0_150,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))),equivalent(equivalent(X_8,equivalent(Y,Z)),equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))),
    inference(subst,[],[refute_0_7:[bind(X,$fot(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),bind(X_6,$fot(equivalent(equivalent(Y,U),equivalent(Z,U)))),bind(X_9,$fot(equivalent(Y,Z)))]]) ).

cnf(refute_0_151,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))),equivalent(equivalent(X_8,equivalent(Y,Z)),equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))))
    | is_a_theorem(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(X_8,equivalent(Y,Z)))) ),
    inference(subst,[],[refute_0_59:[bind(X_555,$fot(equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))),bind(X_556,$fot(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),bind(X_557,$fot(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))))),bind(X_558,$fot(equivalent(X_8,equivalent(Y,Z))))]]) ).

cnf(refute_0_152,plain,
    is_a_theorem(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(X_8,equivalent(Y,Z)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))),equivalent(equivalent(X_8,equivalent(Y,Z)),equivalent(equivalent(X_8,equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U))))))) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_557,equivalent(X_642,X_642)),equivalent(equivalent(X_641,X_642),equivalent(X_642,X_642))),equivalent(equivalent(X_557,equivalent(X_642,X_642)),equivalent(X_641,X_642)))),
    inference(subst,[],[refute_0_152:[bind(U,$fot(X_642)),bind(Y,$fot(X_641)),bind(Z,$fot(X_642)),bind(X_8,$fot(equivalent(X_557,equivalent(X_642,X_642))))]]) ).

cnf(refute_0_154,plain,
    is_a_theorem(equivalent(X_557,equivalent(X_557,equivalent(X_642,X_642)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_557,equivalent(X_642,X_642)),equivalent(equivalent(X_641,X_642),equivalent(X_642,X_642))),equivalent(equivalent(X_557,equivalent(X_642,X_642)),equivalent(X_641,X_642)))) )],[refute_0_153,refute_0_149]) ).

cnf(refute_0_155,plain,
    is_a_theorem(equivalent(X_644,equivalent(X_644,equivalent(X_645,X_645)))),
    inference(subst,[],[refute_0_154:[bind(X_557,$fot(X_644)),bind(X_642,$fot(X_645))]]) ).

cnf(refute_0_156,plain,
    ( ~ is_a_theorem(X_644)
    | is_a_theorem(equivalent(X_644,equivalent(X_645,X_645))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_644,equivalent(X_644,equivalent(X_645,X_645)))) )],[refute_0_155,refute_0_148]) ).

cnf(refute_0_157,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(X_684,X_684)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(X_684,X_684)),equivalent(X_645,X_645))) ),
    inference(subst,[],[refute_0_156:[bind(X_644,$fot(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(X_684,X_684))))]]) ).

cnf(refute_0_158,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40)),equivalent(X_636,X_636))),
    inference(subst,[],[refute_0_61:[bind(X_630,$fot(equivalent(X_636,X_636)))]]) ).

cnf(refute_0_159,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40)),equivalent(X_636,X_636)))
    | is_a_theorem(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40))) ),
    inference(subst,[],[refute_0_79:[bind(X_631,$fot(X_636)),bind(X_632,$fot(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40))))]]) ).

cnf(refute_0_160,plain,
    is_a_theorem(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40)),equivalent(X_636,X_636))) )],[refute_0_158,refute_0_159]) ).

cnf(refute_0_161,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40)),equivalent(X_650,X_650))) ),
    inference(subst,[],[refute_0_156:[bind(X_644,$fot(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40)))),bind(X_645,$fot(X_650))]]) ).

cnf(refute_0_162,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40)),equivalent(X_650,X_650))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_636,X_636),equivalent(X_40,X_40))) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(X_684,X_684))),
    inference(subst,[],[refute_0_162:[bind(X_40,$fot(X_682)),bind(X_636,$fot(X_683)),bind(X_650,$fot(X_684))]]) ).

cnf(refute_0_164,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(X_684,X_684)),equivalent(X_645,X_645))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(X_684,X_684))) )],[refute_0_163,refute_0_157]) ).

cnf(refute_0_165,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(equivalent(X_682,X_682),equivalent(X_682,X_682))),equivalent(X_645,X_645))),
    inference(subst,[],[refute_0_164:[bind(X_684,$fot(equivalent(X_682,X_682)))]]) ).

cnf(refute_0_166,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(equivalent(X_682,X_682),equivalent(X_682,X_682))),equivalent(X_645,X_645)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),X_1538),equivalent(equivalent(X_645,X_645),X_1538))) ),
    inference(subst,[],[refute_0_86:[bind(X_366,$fot(X_1538)),bind(X_367,$fot(equivalent(X_682,X_682))),bind(X_368,$fot(equivalent(X_683,X_683))),bind(X_369,$fot(equivalent(X_682,X_682))),bind(X_370,$fot(equivalent(X_645,X_645)))]]) ).

cnf(refute_0_167,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),X_1538),equivalent(equivalent(X_645,X_645),X_1538))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_683,X_683),equivalent(X_682,X_682)),equivalent(equivalent(X_682,X_682),equivalent(X_682,X_682))),equivalent(X_645,X_645))) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1546,X_1546),equivalent(X_1545,X_1545)),X_1543),equivalent(equivalent(X_1544,X_1544),X_1543))),
    inference(subst,[],[refute_0_167:[bind(X_1538,$fot(X_1543)),bind(X_645,$fot(X_1544)),bind(X_682,$fot(X_1545)),bind(X_683,$fot(X_1546))]]) ).

cnf(refute_0_169,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1546,X_1546),equivalent(X_1545,X_1545)),X_1543))
    | is_a_theorem(equivalent(equivalent(X_1544,X_1544),X_1543)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1546,X_1546),equivalent(X_1545,X_1545)),X_1543),equivalent(equivalent(X_1544,X_1544),X_1543))) )],[refute_0_168,refute_0_147]) ).

cnf(refute_0_170,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_11460,equivalent(X_11456,X_11457)),equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459))),equivalent(equivalent(X_11460,equivalent(X_11456,X_11457)),equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)))),equivalent(X_1545,X_1545)),equivalent(equivalent(X_11460,equivalent(equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)),equivalent(X_11457,X_11456))),equivalent(X_1545,X_1545))))
    | is_a_theorem(equivalent(equivalent(X_1544,X_1544),equivalent(equivalent(X_11460,equivalent(equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)),equivalent(X_11457,X_11456))),equivalent(X_1545,X_1545)))) ),
    inference(subst,[],[refute_0_169:[bind(X_1543,$fot(equivalent(equivalent(X_11460,equivalent(equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)),equivalent(X_11457,X_11456))),equivalent(X_1545,X_1545)))),bind(X_1546,$fot(equivalent(equivalent(X_11460,equivalent(X_11456,X_11457)),equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)))))]]) ).

cnf(refute_0_171,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),X_17),equivalent(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))),X_17))) ),
    inference(subst,[],[refute_0_13:[bind(X_18,$fot(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860))),bind(X_19,$fot(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861)))))]]) ).

cnf(refute_0_172,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1798,X_1797),X_1796))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_1798,X_1797),X_1796),equivalent(equivalent(X_1798,X_1799),equivalent(X_1796,equivalent(X_1799,X_1797)))))
    | is_a_theorem(equivalent(equivalent(X_1798,X_1799),equivalent(X_1796,equivalent(X_1799,X_1797)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_1798,X_1797),X_1796))),bind(Y,$fot(equivalent(equivalent(X_1798,X_1799),equivalent(X_1796,equivalent(X_1799,X_1797)))))]]) ).

cnf(refute_0_173,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1794,X_1793),X_1792),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793)))),equivalent(equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_1794,X_1793),X_1792),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))))) ),
    inference(subst,[],[refute_0_79:[bind(X_631,$fot(equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))))),bind(X_632,$fot(equivalent(equivalent(equivalent(X_1794,X_1793),X_1792),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))))))]]) ).

cnf(refute_0_174,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),equivalent(X_1541,equivalent(X_364,X_362))),equivalent(equivalent(X_363,X_364),equivalent(X_1541,equivalent(X_364,X_362))))),
    inference(subst,[],[refute_0_73:[bind(X_482,$fot(equivalent(X_1541,equivalent(X_364,X_362))))]]) ).

cnf(refute_0_175,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),equivalent(X_1541,equivalent(X_364,X_362))),equivalent(equivalent(X_363,X_364),equivalent(X_1541,equivalent(X_364,X_362)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),X_1541),X_1538),equivalent(equivalent(equivalent(X_363,X_364),equivalent(X_1541,equivalent(X_364,X_362))),X_1538))) ),
    inference(subst,[],[refute_0_86:[bind(X_366,$fot(X_1538)),bind(X_367,$fot(equivalent(X_364,X_362))),bind(X_368,$fot(equivalent(X_363,X_362))),bind(X_369,$fot(X_1541)),bind(X_370,$fot(equivalent(equivalent(X_363,X_364),equivalent(X_1541,equivalent(X_364,X_362)))))]]) ).

cnf(refute_0_176,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),X_1541),X_1538),equivalent(equivalent(equivalent(X_363,X_364),equivalent(X_1541,equivalent(X_364,X_362))),X_1538))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_363,X_362),equivalent(X_364,X_362)),equivalent(X_1541,equivalent(X_364,X_362))),equivalent(equivalent(X_363,X_364),equivalent(X_1541,equivalent(X_364,X_362))))) )],[refute_0_174,refute_0_175]) ).

cnf(refute_0_177,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1794,X_1793),X_1792),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793)))),equivalent(equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793)))))),
    inference(subst,[],[refute_0_176:[bind(X_1538,$fot(equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))))),bind(X_1541,$fot(X_1792)),bind(X_362,$fot(X_1793)),bind(X_363,$fot(X_1794)),bind(X_364,$fot(X_1795))]]) ).

cnf(refute_0_178,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1794,X_1793),X_1792),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_1794,X_1793),X_1792),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793)))),equivalent(equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793))),equivalent(equivalent(X_1794,X_1795),equivalent(X_1792,equivalent(X_1795,X_1793)))))) )],[refute_0_177,refute_0_173]) ).

cnf(refute_0_179,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1798,X_1797),X_1796),equivalent(equivalent(X_1798,X_1799),equivalent(X_1796,equivalent(X_1799,X_1797))))),
    inference(subst,[],[refute_0_178:[bind(X_1792,$fot(X_1796)),bind(X_1793,$fot(X_1797)),bind(X_1794,$fot(X_1798)),bind(X_1795,$fot(X_1799))]]) ).

cnf(refute_0_180,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1798,X_1797),X_1796))
    | is_a_theorem(equivalent(equivalent(X_1798,X_1799),equivalent(X_1796,equivalent(X_1799,X_1797)))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1798,X_1797),X_1796),equivalent(equivalent(X_1798,X_1799),equivalent(X_1796,equivalent(X_1799,X_1797))))) )],[refute_0_179,refute_0_172]) ).

cnf(refute_0_181,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_5855,equivalent(X_5853,X_5854)),equivalent(X_5854,X_5853)),X_5855))
    | is_a_theorem(equivalent(equivalent(equivalent(X_5855,equivalent(X_5853,X_5854)),X_1799),equivalent(X_5855,equivalent(X_1799,equivalent(X_5854,X_5853))))) ),
    inference(subst,[],[refute_0_180:[bind(X_1796,$fot(X_5855)),bind(X_1797,$fot(equivalent(X_5854,X_5853))),bind(X_1798,$fot(equivalent(X_5855,equivalent(X_5853,X_5854))))]]) ).

cnf(refute_0_182,plain,
    ( ~ is_a_theorem(equivalent(X_5851,X_5851))
    | ~ is_a_theorem(equivalent(equivalent(X_5851,X_5851),equivalent(equivalent(equivalent(X_5852,equivalent(X_5849,X_5850)),equivalent(X_5850,X_5849)),X_5852)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_5852,equivalent(X_5849,X_5850)),equivalent(X_5850,X_5849)),X_5852)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_5851,X_5851))),bind(Y,$fot(equivalent(equivalent(equivalent(X_5852,equivalent(X_5849,X_5850)),equivalent(X_5850,X_5849)),X_5852)))]]) ).

cnf(refute_0_183,plain,
    ( ~ is_a_theorem(equivalent(X_3960,equivalent(equivalent(X_3960,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958))))
    | is_a_theorem(equivalent(equivalent(X_3960,equivalent(equivalent(X_3960,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958))),equivalent(X_645,X_645))) ),
    inference(subst,[],[refute_0_156:[bind(X_644,$fot(equivalent(X_3960,equivalent(equivalent(X_3960,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)))))]]) ).

cnf(refute_0_184,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_2705,equivalent(X_2702,X_2701)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703))),equivalent(equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)))))
    | is_a_theorem(equivalent(equivalent(X_2705,equivalent(X_2702,X_2701)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)))) ),
    inference(subst,[],[refute_0_79:[bind(X_631,$fot(equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)))),bind(X_632,$fot(equivalent(equivalent(X_2705,equivalent(X_2702,X_2701)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)))))]]) ).

cnf(refute_0_185,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(Y,Z)))),
    inference(subst,[],[refute_0_152:[bind(X_8,$fot(equivalent(X_1540,equivalent(Z,U))))]]) ).

cnf(refute_0_186,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(Y,Z))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_1540,equivalent(Y,U)),X_1538),equivalent(equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(Y,Z)),X_1538))) ),
    inference(subst,[],[refute_0_86:[bind(X_366,$fot(X_1538)),bind(X_367,$fot(equivalent(Z,U))),bind(X_368,$fot(X_1540)),bind(X_369,$fot(equivalent(Y,U))),bind(X_370,$fot(equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(Y,Z))))]]) ).

cnf(refute_0_187,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1540,equivalent(Y,U)),X_1538),equivalent(equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(Y,Z)),X_1538))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(equivalent(Y,U),equivalent(Z,U))),equivalent(equivalent(X_1540,equivalent(Z,U)),equivalent(Y,Z)))) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2705,equivalent(X_2702,X_2701)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703))),equivalent(equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703))))),
    inference(subst,[],[refute_0_187:[bind(U,$fot(X_2701)),bind(Y,$fot(X_2702)),bind(Z,$fot(X_2703)),bind(X_1538,$fot(equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)))),bind(X_1540,$fot(X_2705))]]) ).

cnf(refute_0_189,plain,
    is_a_theorem(equivalent(equivalent(X_2705,equivalent(X_2702,X_2701)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_2705,equivalent(X_2702,X_2701)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703))),equivalent(equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703)),equivalent(equivalent(X_2705,equivalent(X_2703,X_2701)),equivalent(X_2702,X_2703))))) )],[refute_0_188,refute_0_184]) ).

cnf(refute_0_190,plain,
    is_a_theorem(equivalent(equivalent(X_3957,equivalent(X_3956,X_3956)),equivalent(equivalent(X_3957,equivalent(X_2703,X_3956)),equivalent(X_3956,X_2703)))),
    inference(subst,[],[refute_0_189:[bind(X_2701,$fot(X_3956)),bind(X_2702,$fot(X_3956)),bind(X_2705,$fot(X_3957))]]) ).

cnf(refute_0_191,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3957,equivalent(X_3956,X_3956)),equivalent(equivalent(X_3957,equivalent(X_2703,X_3956)),equivalent(X_3956,X_2703))))
    | is_a_theorem(equivalent(X_3957,equivalent(equivalent(X_3957,equivalent(X_2703,X_3956)),equivalent(X_3956,X_2703)))) ),
    inference(subst,[],[refute_0_65:[bind(X_633,$fot(equivalent(equivalent(X_3957,equivalent(X_2703,X_3956)),equivalent(X_3956,X_2703)))),bind(X_634,$fot(X_3956)),bind(X_635,$fot(X_3957))]]) ).

cnf(refute_0_192,plain,
    is_a_theorem(equivalent(X_3957,equivalent(equivalent(X_3957,equivalent(X_2703,X_3956)),equivalent(X_3956,X_2703)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3957,equivalent(X_3956,X_3956)),equivalent(equivalent(X_3957,equivalent(X_2703,X_3956)),equivalent(X_3956,X_2703)))) )],[refute_0_190,refute_0_191]) ).

cnf(refute_0_193,plain,
    is_a_theorem(equivalent(X_3960,equivalent(equivalent(X_3960,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)))),
    inference(subst,[],[refute_0_192:[bind(X_2703,$fot(X_3958)),bind(X_3956,$fot(X_3959)),bind(X_3957,$fot(X_3960))]]) ).

cnf(refute_0_194,plain,
    is_a_theorem(equivalent(equivalent(X_3960,equivalent(equivalent(X_3960,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958))),equivalent(X_645,X_645))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_3960,equivalent(equivalent(X_3960,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)))) )],[refute_0_193,refute_0_183]) ).

cnf(refute_0_195,plain,
    is_a_theorem(equivalent(equivalent(X_5839,equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958))),equivalent(equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839),equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839)))),
    inference(subst,[],[refute_0_194:[bind(X_3960,$fot(X_5839)),bind(X_645,$fot(equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839)))]]) ).

cnf(refute_0_196,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_5819,X_5820),equivalent(X_5818,equivalent(X_5820,X_5819))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_5819,X_5820),equivalent(X_5818,equivalent(X_5820,X_5819))),equivalent(equivalent(X_5817,X_5817),X_5818)))
    | is_a_theorem(equivalent(equivalent(X_5817,X_5817),X_5818)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_5819,X_5820),equivalent(X_5818,equivalent(X_5820,X_5819))))),bind(Y,$fot(equivalent(equivalent(X_5817,X_5817),X_5818)))]]) ).

cnf(refute_0_197,plain,
    ( ~ is_a_theorem(equivalent(X_1905,equivalent(equivalent(X_1907,X_1907),equivalent(X_1906,X_1906))))
    | ~ is_a_theorem(equivalent(equivalent(X_1905,equivalent(equivalent(X_1907,X_1907),equivalent(X_1906,X_1906))),X_1905))
    | is_a_theorem(X_1905) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_1905,equivalent(equivalent(X_1907,X_1907),equivalent(X_1906,X_1906))))),bind(Y,$fot(X_1905))]]) ).

cnf(refute_0_198,plain,
    is_a_theorem(equivalent(equivalent(X_1901,equivalent(X_40,X_40)),X_1901)),
    inference(subst,[],[refute_0_61:[bind(X_630,$fot(X_1901))]]) ).

cnf(refute_0_199,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1593,X_1594),X_1592))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_1593,X_1594),X_1592),equivalent(equivalent(X_1593,equivalent(X_1594,equivalent(X_1595,X_1595))),X_1592)))
    | is_a_theorem(equivalent(equivalent(X_1593,equivalent(X_1594,equivalent(X_1595,X_1595))),X_1592)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_1593,X_1594),X_1592))),bind(Y,$fot(equivalent(equivalent(X_1593,equivalent(X_1594,equivalent(X_1595,X_1595))),X_1592)))]]) ).

cnf(refute_0_200,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1540,equivalent(X_631,X_631)),equivalent(X_1541,equivalent(X_631,X_631))),equivalent(X_1540,equivalent(X_1541,equivalent(X_631,X_631))))),
    inference(subst,[],[refute_0_63:[bind(X_17,$fot(equivalent(X_1541,equivalent(X_631,X_631)))),bind(X_632,$fot(X_1540))]]) ).

cnf(refute_0_201,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1540,equivalent(X_631,X_631)),equivalent(X_1541,equivalent(X_631,X_631))),equivalent(X_1540,equivalent(X_1541,equivalent(X_631,X_631)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_1540,X_1541),X_1538),equivalent(equivalent(X_1540,equivalent(X_1541,equivalent(X_631,X_631))),X_1538))) ),
    inference(subst,[],[refute_0_86:[bind(X_366,$fot(X_1538)),bind(X_367,$fot(equivalent(X_631,X_631))),bind(X_368,$fot(X_1540)),bind(X_369,$fot(X_1541)),bind(X_370,$fot(equivalent(X_1540,equivalent(X_1541,equivalent(X_631,X_631)))))]]) ).

cnf(refute_0_202,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1540,X_1541),X_1538),equivalent(equivalent(X_1540,equivalent(X_1541,equivalent(X_631,X_631))),X_1538))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1540,equivalent(X_631,X_631)),equivalent(X_1541,equivalent(X_631,X_631))),equivalent(X_1540,equivalent(X_1541,equivalent(X_631,X_631))))) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1593,X_1594),X_1592),equivalent(equivalent(X_1593,equivalent(X_1594,equivalent(X_1595,X_1595))),X_1592))),
    inference(subst,[],[refute_0_202:[bind(X_1538,$fot(X_1592)),bind(X_1540,$fot(X_1593)),bind(X_1541,$fot(X_1594)),bind(X_631,$fot(X_1595))]]) ).

cnf(refute_0_204,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1593,X_1594),X_1592))
    | is_a_theorem(equivalent(equivalent(X_1593,equivalent(X_1594,equivalent(X_1595,X_1595))),X_1592)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1593,X_1594),X_1592),equivalent(equivalent(X_1593,equivalent(X_1594,equivalent(X_1595,X_1595))),X_1592))) )],[refute_0_203,refute_0_199]) ).

cnf(refute_0_205,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1901,equivalent(X_40,X_40)),X_1901))
    | is_a_theorem(equivalent(equivalent(X_1901,equivalent(equivalent(X_40,X_40),equivalent(X_1904,X_1904))),X_1901)) ),
    inference(subst,[],[refute_0_204:[bind(X_1592,$fot(X_1901)),bind(X_1593,$fot(X_1901)),bind(X_1594,$fot(equivalent(X_40,X_40))),bind(X_1595,$fot(X_1904))]]) ).

cnf(refute_0_206,plain,
    is_a_theorem(equivalent(equivalent(X_1901,equivalent(equivalent(X_40,X_40),equivalent(X_1904,X_1904))),X_1901)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_1901,equivalent(X_40,X_40)),X_1901)) )],[refute_0_198,refute_0_205]) ).

cnf(refute_0_207,plain,
    is_a_theorem(equivalent(equivalent(X_1905,equivalent(equivalent(X_1907,X_1907),equivalent(X_1906,X_1906))),X_1905)),
    inference(subst,[],[refute_0_206:[bind(X_1901,$fot(X_1905)),bind(X_1904,$fot(X_1906)),bind(X_40,$fot(X_1907))]]) ).

cnf(refute_0_208,plain,
    ( ~ is_a_theorem(equivalent(X_1905,equivalent(equivalent(X_1907,X_1907),equivalent(X_1906,X_1906))))
    | is_a_theorem(X_1905) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_1905,equivalent(equivalent(X_1907,X_1907),equivalent(X_1906,X_1906))),X_1905)) )],[refute_0_207,refute_0_197]) ).

cnf(refute_0_209,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5804,X_5806),equivalent(X_5802,equivalent(X_5806,X_5804))),equivalent(equivalent(X_1906,X_1906),X_5802)),equivalent(equivalent(X_5804,X_5804),equivalent(X_1906,X_1906))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_5804,X_5806),equivalent(X_5802,equivalent(X_5806,X_5804))),equivalent(equivalent(X_1906,X_1906),X_5802))) ),
    inference(subst,[],[refute_0_208:[bind(X_1905,$fot(equivalent(equivalent(equivalent(X_5804,X_5806),equivalent(X_5802,equivalent(X_5806,X_5804))),equivalent(equivalent(X_1906,X_1906),X_5802)))),bind(X_1907,$fot(X_5804))]]) ).

cnf(refute_0_210,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_5798,X_5799),equivalent(X_5794,equivalent(X_5799,X_5797))),equivalent(X_5796,X_5794)),equivalent(equivalent(equivalent(X_5798,X_5797),X_5794),equivalent(X_5796,X_5794))),equivalent(equivalent(equivalent(X_5798,X_5797),X_5796),equivalent(equivalent(equivalent(X_5798,X_5797),X_5794),equivalent(X_5796,X_5794)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5798,X_5799),equivalent(X_5794,equivalent(X_5799,X_5797))),equivalent(X_5796,X_5794)),equivalent(equivalent(X_5798,X_5797),X_5796))) ),
    inference(subst,[],[refute_0_43:[bind(X_485,$fot(equivalent(equivalent(equivalent(X_5798,X_5797),X_5794),equivalent(X_5796,X_5794)))),bind(X_486,$fot(equivalent(equivalent(equivalent(X_5798,X_5799),equivalent(X_5794,equivalent(X_5799,X_5797))),equivalent(X_5796,X_5794)))),bind(X_487,$fot(equivalent(equivalent(X_5798,X_5797),X_5796)))]]) ).

cnf(refute_0_211,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_528,X_529),equivalent(X_531,equivalent(X_529,X_527))),X_530),equivalent(equivalent(equivalent(X_528,X_527),X_531),X_530)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_528,X_529),equivalent(X_531,equivalent(X_529,X_527))),X_530),equivalent(equivalent(equivalent(X_528,X_527),X_531),X_530)),equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))) ),
    inference(subst,[],[refute_0_5:[bind(X_3,$fot(equivalent(equivalent(equivalent(equivalent(X_528,X_529),equivalent(X_531,equivalent(X_529,X_527))),X_530),equivalent(equivalent(equivalent(X_528,X_527),X_531),X_530))))]]) ).

cnf(refute_0_212,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)),equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))) ),
    inference(subst,[],[refute_0_5:[bind(X_3,$fot(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32))))]]) ).

cnf(refute_0_213,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32)),equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_30,X_31),X_32),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),X_32))) )],[refute_0_19,refute_0_212]) ).

cnf(refute_0_214,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_5,equivalent(X_31,X_29))),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),equivalent(X_5,equivalent(X_31,X_29)))),equivalent(equivalent(equivalent(X_30,X_29),X_5),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),equivalent(X_5,equivalent(X_31,X_29)))))),
    inference(subst,[],[refute_0_213:[bind(X_2,$fot(equivalent(X_31,X_29))),bind(X_32,$fot(equivalent(X_5,equivalent(X_31,X_29)))),bind(X_4,$fot(equivalent(X_30,X_29)))]]) ).

cnf(refute_0_215,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_5,equivalent(X_31,X_29))),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),equivalent(X_5,equivalent(X_31,X_29)))),equivalent(equivalent(equivalent(X_30,X_29),X_5),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),equivalent(X_5,equivalent(X_31,X_29))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_5,equivalent(X_31,X_29))),X_482),equivalent(equivalent(equivalent(X_30,X_29),X_5),X_482))) ),
    inference(subst,[],[refute_0_37:[bind(X_126,$fot(equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),equivalent(X_5,equivalent(X_31,X_29))))),bind(X_127,$fot(equivalent(equivalent(X_30,X_31),equivalent(X_5,equivalent(X_31,X_29))))),bind(X_128,$fot(equivalent(equivalent(X_30,X_29),X_5))),bind(X_129,$fot(X_482))]]) ).

cnf(refute_0_216,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_5,equivalent(X_31,X_29))),X_482),equivalent(equivalent(equivalent(X_30,X_29),X_5),X_482))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_30,X_31),equivalent(X_5,equivalent(X_31,X_29))),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),equivalent(X_5,equivalent(X_31,X_29)))),equivalent(equivalent(equivalent(X_30,X_29),X_5),equivalent(equivalent(equivalent(X_30,X_29),equivalent(X_31,X_29)),equivalent(X_5,equivalent(X_31,X_29)))))) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_528,X_529),equivalent(X_531,equivalent(X_529,X_527))),X_530),equivalent(equivalent(equivalent(X_528,X_527),X_531),X_530))),
    inference(subst,[],[refute_0_216:[bind(X_29,$fot(X_527)),bind(X_30,$fot(X_528)),bind(X_31,$fot(X_529)),bind(X_482,$fot(X_530)),bind(X_5,$fot(X_531))]]) ).

cnf(refute_0_218,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_528,X_529),equivalent(X_531,equivalent(X_529,X_527))),X_530),equivalent(equivalent(equivalent(X_528,X_527),X_531),X_530)),equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_528,X_529),equivalent(X_531,equivalent(X_529,X_527))),X_530),equivalent(equivalent(equivalent(X_528,X_527),X_531),X_530))) )],[refute_0_217,refute_0_211]) ).

cnf(refute_0_219,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_5798,X_5799),equivalent(X_5794,equivalent(X_5799,X_5797))),equivalent(X_5796,X_5794)),equivalent(equivalent(equivalent(X_5798,X_5797),X_5794),equivalent(X_5796,X_5794))),equivalent(equivalent(equivalent(X_5798,X_5797),X_5796),equivalent(equivalent(equivalent(X_5798,X_5797),X_5794),equivalent(X_5796,X_5794))))),
    inference(subst,[],[refute_0_218:[bind(X_2,$fot(X_5794)),bind(X_4,$fot(equivalent(X_5798,X_5797))),bind(X_5,$fot(X_5796)),bind(X_527,$fot(X_5797)),bind(X_528,$fot(X_5798)),bind(X_529,$fot(X_5799)),bind(X_530,$fot(equivalent(X_5796,X_5794))),bind(X_531,$fot(X_5794))]]) ).

cnf(refute_0_220,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5798,X_5799),equivalent(X_5794,equivalent(X_5799,X_5797))),equivalent(X_5796,X_5794)),equivalent(equivalent(X_5798,X_5797),X_5796))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_5798,X_5799),equivalent(X_5794,equivalent(X_5799,X_5797))),equivalent(X_5796,X_5794)),equivalent(equivalent(equivalent(X_5798,X_5797),X_5794),equivalent(X_5796,X_5794))),equivalent(equivalent(equivalent(X_5798,X_5797),X_5796),equivalent(equivalent(equivalent(X_5798,X_5797),X_5794),equivalent(X_5796,X_5794))))) )],[refute_0_219,refute_0_210]) ).

cnf(refute_0_221,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5804,X_5806),equivalent(X_5802,equivalent(X_5806,X_5804))),equivalent(equivalent(X_1906,X_1906),X_5802)),equivalent(equivalent(X_5804,X_5804),equivalent(X_1906,X_1906)))),
    inference(subst,[],[refute_0_220:[bind(X_5794,$fot(X_5802)),bind(X_5796,$fot(equivalent(X_1906,X_1906))),bind(X_5797,$fot(X_5804)),bind(X_5798,$fot(X_5804)),bind(X_5799,$fot(X_5806))]]) ).

cnf(refute_0_222,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_5804,X_5806),equivalent(X_5802,equivalent(X_5806,X_5804))),equivalent(equivalent(X_1906,X_1906),X_5802))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5804,X_5806),equivalent(X_5802,equivalent(X_5806,X_5804))),equivalent(equivalent(X_1906,X_1906),X_5802)),equivalent(equivalent(X_5804,X_5804),equivalent(X_1906,X_1906)))) )],[refute_0_221,refute_0_209]) ).

cnf(refute_0_223,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_5819,X_5820),equivalent(X_5818,equivalent(X_5820,X_5819))),equivalent(equivalent(X_5817,X_5817),X_5818))),
    inference(subst,[],[refute_0_222:[bind(X_1906,$fot(X_5817)),bind(X_5802,$fot(X_5818)),bind(X_5804,$fot(X_5819)),bind(X_5806,$fot(X_5820))]]) ).

cnf(refute_0_224,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_5819,X_5820),equivalent(X_5818,equivalent(X_5820,X_5819))))
    | is_a_theorem(equivalent(equivalent(X_5817,X_5817),X_5818)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_5819,X_5820),equivalent(X_5818,equivalent(X_5820,X_5819))),equivalent(equivalent(X_5817,X_5817),X_5818))) )],[refute_0_223,refute_0_196]) ).

cnf(refute_0_225,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_5839,equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958))),equivalent(equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839),equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839))))
    | is_a_theorem(equivalent(equivalent(X_5837,X_5837),equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839))) ),
    inference(subst,[],[refute_0_224:[bind(X_5817,$fot(X_5837)),bind(X_5818,$fot(equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839))),bind(X_5819,$fot(X_5839)),bind(X_5820,$fot(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958))))]]) ).

cnf(refute_0_226,plain,
    is_a_theorem(equivalent(equivalent(X_5837,X_5837),equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_5839,equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958))),equivalent(equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839),equivalent(equivalent(equivalent(X_5839,equivalent(X_3958,X_3959)),equivalent(X_3959,X_3958)),X_5839)))) )],[refute_0_195,refute_0_225]) ).

cnf(refute_0_227,plain,
    is_a_theorem(equivalent(equivalent(X_5851,X_5851),equivalent(equivalent(equivalent(X_5852,equivalent(X_5849,X_5850)),equivalent(X_5850,X_5849)),X_5852))),
    inference(subst,[],[refute_0_226:[bind(X_3958,$fot(X_5849)),bind(X_3959,$fot(X_5850)),bind(X_5837,$fot(X_5851)),bind(X_5839,$fot(X_5852))]]) ).

cnf(refute_0_228,plain,
    ( ~ is_a_theorem(equivalent(X_5851,X_5851))
    | is_a_theorem(equivalent(equivalent(equivalent(X_5852,equivalent(X_5849,X_5850)),equivalent(X_5850,X_5849)),X_5852)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_5851,X_5851),equivalent(equivalent(equivalent(X_5852,equivalent(X_5849,X_5850)),equivalent(X_5850,X_5849)),X_5852))) )],[refute_0_227,refute_0_182]) ).

cnf(refute_0_229,plain,
    is_a_theorem(equivalent(equivalent(X_593,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))),equivalent(X_593,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))))),
    inference(subst,[],[refute_0_30:[bind(U,$fot(X_98)),bind(Y,$fot(X_99)),bind(Z,$fot(X_100)),bind(X_102,$fot(X_593))]]) ).

cnf(refute_0_230,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_593,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))),equivalent(X_593,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98))))))
    | is_a_theorem(equivalent(X_593,X_593)) ),
    inference(subst,[],[refute_0_43:[bind(X_485,$fot(equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98))))),bind(X_486,$fot(X_593)),bind(X_487,$fot(X_593))]]) ).

cnf(refute_0_231,plain,
    is_a_theorem(equivalent(X_593,X_593)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_593,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))),equivalent(X_593,equivalent(equivalent(X_99,X_100),equivalent(equivalent(X_99,X_98),equivalent(X_100,X_98)))))) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    is_a_theorem(equivalent(X_5851,X_5851)),
    inference(subst,[],[refute_0_231:[bind(X_593,$fot(X_5851))]]) ).

cnf(refute_0_233,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_5852,equivalent(X_5849,X_5850)),equivalent(X_5850,X_5849)),X_5852)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_5851,X_5851)) )],[refute_0_232,refute_0_228]) ).

cnf(refute_0_234,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_5855,equivalent(X_5853,X_5854)),equivalent(X_5854,X_5853)),X_5855)),
    inference(subst,[],[refute_0_233:[bind(X_5849,$fot(X_5853)),bind(X_5850,$fot(X_5854)),bind(X_5852,$fot(X_5855))]]) ).

cnf(refute_0_235,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_5855,equivalent(X_5853,X_5854)),X_1799),equivalent(X_5855,equivalent(X_1799,equivalent(X_5854,X_5853))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_5855,equivalent(X_5853,X_5854)),equivalent(X_5854,X_5853)),X_5855)) )],[refute_0_234,refute_0_181]) ).

cnf(refute_0_236,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))))),
    inference(subst,[],[refute_0_235:[bind(X_1799,$fot(X_5860)),bind(X_5853,$fot(X_5861)),bind(X_5854,$fot(X_5862)),bind(X_5855,$fot(X_5863))]]) ).

cnf(refute_0_237,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),X_17),equivalent(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))),X_17))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))))) )],[refute_0_236,refute_0_171]) ).

cnf(refute_0_238,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),X_9345),equivalent(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))),X_9345))),
    inference(subst,[],[refute_0_237:[bind(X_17,$fot(X_9345))]]) ).

cnf(refute_0_239,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_73,X_72),X_68))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_73,X_72),X_68),equivalent(equivalent(equivalent(X_73,equivalent(equivalent(X_70,X_71),equivalent(equivalent(X_70,X_69),equivalent(X_71,X_69)))),X_72),X_68)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_73,equivalent(equivalent(X_70,X_71),equivalent(equivalent(X_70,X_69),equivalent(X_71,X_69)))),X_72),X_68)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_73,X_72),X_68))),bind(Y,$fot(equivalent(equivalent(equivalent(X_73,equivalent(equivalent(X_70,X_71),equivalent(equivalent(X_70,X_69),equivalent(X_71,X_69)))),X_72),X_68)))]]) ).

cnf(refute_0_240,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_42,X_41),equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_42,X_41),X_17),equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41),X_17))) ),
    inference(subst,[],[refute_0_13:[bind(X_18,$fot(equivalent(X_42,X_41))),bind(X_19,$fot(equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41)))]]) ).

cnf(refute_0_241,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_42,X_41),X_17),equivalent(equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41),X_17))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_42,X_41),equivalent(equivalent(X_42,equivalent(equivalent(X_39,X_40),equivalent(equivalent(X_39,X_38),equivalent(X_40,X_38)))),X_41))) )],[refute_0_27,refute_0_240]) ).

cnf(refute_0_242,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_73,X_72),X_68),equivalent(equivalent(equivalent(X_73,equivalent(equivalent(X_70,X_71),equivalent(equivalent(X_70,X_69),equivalent(X_71,X_69)))),X_72),X_68))),
    inference(subst,[],[refute_0_241:[bind(X_17,$fot(X_68)),bind(X_38,$fot(X_69)),bind(X_39,$fot(X_70)),bind(X_40,$fot(X_71)),bind(X_41,$fot(X_72)),bind(X_42,$fot(X_73))]]) ).

cnf(refute_0_243,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_73,X_72),X_68))
    | is_a_theorem(equivalent(equivalent(equivalent(X_73,equivalent(equivalent(X_70,X_71),equivalent(equivalent(X_70,X_69),equivalent(X_71,X_69)))),X_72),X_68)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_73,X_72),X_68),equivalent(equivalent(equivalent(X_73,equivalent(equivalent(X_70,X_71),equivalent(equivalent(X_70,X_69),equivalent(X_71,X_69)))),X_72),X_68))) )],[refute_0_242,refute_0_239]) ).

cnf(refute_0_244,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),X_9345),equivalent(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))),X_9345)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),equivalent(equivalent(X_9343,X_9344),equivalent(equivalent(X_9343,X_9342),equivalent(X_9344,X_9342)))),X_9345),equivalent(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))),X_9345))) ),
    inference(subst,[],[refute_0_243:[bind(X_68,$fot(equivalent(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))),X_9345))),bind(X_69,$fot(X_9342)),bind(X_70,$fot(X_9343)),bind(X_71,$fot(X_9344)),bind(X_72,$fot(X_9345)),bind(X_73,$fot(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860)))]]) ).

cnf(refute_0_245,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),equivalent(equivalent(X_9343,X_9344),equivalent(equivalent(X_9343,X_9342),equivalent(X_9344,X_9342)))),X_9345),equivalent(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))),X_9345))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_5863,equivalent(X_5861,X_5862)),X_5860),X_9345),equivalent(equivalent(X_5863,equivalent(X_5860,equivalent(X_5862,X_5861))),X_9345))) )],[refute_0_238,refute_0_244]) ).

cnf(refute_0_246,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_11460,equivalent(X_11456,X_11457)),equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459))),equivalent(equivalent(X_11460,equivalent(X_11456,X_11457)),equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)))),equivalent(X_1545,X_1545)),equivalent(equivalent(X_11460,equivalent(equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)),equivalent(X_11457,X_11456))),equivalent(X_1545,X_1545)))),
    inference(subst,[],[refute_0_245:[bind(X_5860,$fot(equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)))),bind(X_5861,$fot(X_11456)),bind(X_5862,$fot(X_11457)),bind(X_5863,$fot(X_11460)),bind(X_9342,$fot(X_11459)),bind(X_9343,$fot(X_11460)),bind(X_9344,$fot(equivalent(X_11456,X_11457))),bind(X_9345,$fot(equivalent(X_1545,X_1545)))]]) ).

cnf(refute_0_247,plain,
    is_a_theorem(equivalent(equivalent(X_1544,X_1544),equivalent(equivalent(X_11460,equivalent(equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)),equivalent(X_11457,X_11456))),equivalent(X_1545,X_1545)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_11460,equivalent(X_11456,X_11457)),equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459))),equivalent(equivalent(X_11460,equivalent(X_11456,X_11457)),equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)))),equivalent(X_1545,X_1545)),equivalent(equivalent(X_11460,equivalent(equivalent(equivalent(X_11460,X_11459),equivalent(equivalent(X_11456,X_11457),X_11459)),equivalent(X_11457,X_11456))),equivalent(X_1545,X_1545)))) )],[refute_0_246,refute_0_170]) ).

cnf(refute_0_248,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)),equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754))),equivalent(equivalent(X_16757,equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754))),equivalent(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)),equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)))))),
    inference(subst,[],[refute_0_247:[bind(X_11456,$fot(X_16754)),bind(X_11457,$fot(X_16755)),bind(X_11459,$fot(X_16756)),bind(X_11460,$fot(X_16757)),bind(X_1544,$fot(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)))),bind(X_1545,$fot(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754))))]]) ).

cnf(refute_0_249,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)),X_16757)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)),equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754))),equivalent(equivalent(X_16757,equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754))),equivalent(equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)),equivalent(equivalent(equivalent(X_16757,X_16756),equivalent(equivalent(X_16754,X_16755),X_16756)),equivalent(X_16755,X_16754)))))) )],[refute_0_248,refute_0_146]) ).

cnf(refute_0_250,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762)),equivalent(X_16761,X_16760)),equivalent(X_128,equivalent(X_16761,X_16760)))),
    inference(subst,[],[refute_0_249:[bind(X_16754,$fot(X_16760)),bind(X_16755,$fot(X_16761)),bind(X_16756,$fot(X_16762)),bind(X_16757,$fot(equivalent(X_128,equivalent(X_16761,X_16760))))]]) ).

cnf(refute_0_251,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762)),X_129),equivalent(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762)),equivalent(X_16761,X_16760)),equivalent(X_128,equivalent(X_16761,X_16760)))) )],[refute_0_250,refute_0_145]) ).

cnf(refute_0_252,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762)),equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762))),equivalent(X_128,equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762))))),
    inference(subst,[],[refute_0_251:[bind(X_129,$fot(equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762))))]]) ).

cnf(refute_0_253,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762)),equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762))),equivalent(X_128,equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),X_22087),equivalent(X_128,equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762))))) ),
    inference(subst,[],[refute_0_75:[bind(X_488,$fot(equivalent(equivalent(X_16760,X_16761),X_16762))),bind(X_489,$fot(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762))),bind(X_490,$fot(X_22087)),bind(X_491,$fot(equivalent(X_128,equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762)))))]]) ).

cnf(refute_0_254,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),X_22087),equivalent(X_128,equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_16762),equivalent(equivalent(X_16760,X_16761),X_16762)),equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762))),equivalent(X_128,equivalent(X_22087,equivalent(equivalent(X_16760,X_16761),X_16762))))) )],[refute_0_252,refute_0_253]) ).

cnf(refute_0_255,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32102),equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100))),equivalent(X_128,equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100)),equivalent(equivalent(X_16760,X_16761),X_32102))))),
    inference(subst,[],[refute_0_254:[bind(X_16762,$fot(X_32102)),bind(X_22087,$fot(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100))))]]) ).

cnf(refute_0_256,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_44,X_45),equivalent(equivalent(X_44,X_43),equivalent(X_45,X_43))),X_47))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_44,X_45),equivalent(equivalent(X_44,X_43),equivalent(X_45,X_43))),X_47),equivalent(equivalent(equivalent(X_48,X_49),equivalent(equivalent(X_48,X_46),equivalent(X_49,X_46))),X_47)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_48,X_49),equivalent(equivalent(X_48,X_46),equivalent(X_49,X_46))),X_47)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_44,X_45),equivalent(equivalent(X_44,X_43),equivalent(X_45,X_43))),X_47))),bind(Y,$fot(equivalent(equivalent(equivalent(X_48,X_49),equivalent(equivalent(X_48,X_46),equivalent(X_49,X_46))),X_47)))]]) ).

cnf(refute_0_257,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))),equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))) ),
    inference(subst,[],[refute_0_5:[bind(X_3,$fot(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17)))))]]) ).

cnf(refute_0_258,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))),equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17)))) )],[refute_0_12,refute_0_257]) ).

cnf(refute_0_259,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))),equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))),X_26),equivalent(equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))),X_26))) ),
    inference(subst,[],[refute_0_13:[bind(X_17,$fot(X_26)),bind(X_18,$fot(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))))),bind(X_19,$fot(equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2)))))]]) ).

cnf(refute_0_260,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))),X_26),equivalent(equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))),X_26))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_18,X_19),equivalent(equivalent(X_18,X_17),equivalent(X_19,X_17))),equivalent(equivalent(X_4,X_5),equivalent(equivalent(X_4,X_2),equivalent(X_5,X_2))))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_44,X_45),equivalent(equivalent(X_44,X_43),equivalent(X_45,X_43))),X_47),equivalent(equivalent(equivalent(X_48,X_49),equivalent(equivalent(X_48,X_46),equivalent(X_49,X_46))),X_47))),
    inference(subst,[],[refute_0_260:[bind(X_17,$fot(X_43)),bind(X_18,$fot(X_44)),bind(X_19,$fot(X_45)),bind(X_2,$fot(X_46)),bind(X_26,$fot(X_47)),bind(X_4,$fot(X_48)),bind(X_5,$fot(X_49))]]) ).

cnf(refute_0_262,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_44,X_45),equivalent(equivalent(X_44,X_43),equivalent(X_45,X_43))),X_47))
    | is_a_theorem(equivalent(equivalent(equivalent(X_48,X_49),equivalent(equivalent(X_48,X_46),equivalent(X_49,X_46))),X_47)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_44,X_45),equivalent(equivalent(X_44,X_43),equivalent(X_45,X_43))),X_47),equivalent(equivalent(equivalent(X_48,X_49),equivalent(equivalent(X_48,X_46),equivalent(X_49,X_46))),X_47))) )],[refute_0_261,refute_0_256]) ).

cnf(refute_0_263,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32102),equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100))),equivalent(X_128,equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100)),equivalent(equivalent(X_16760,X_16761),X_32102)))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_32105,X_32106),equivalent(equivalent(X_32105,X_32103),equivalent(X_32106,X_32103))),equivalent(X_128,equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100)),equivalent(equivalent(X_16760,X_16761),X_32102))))) ),
    inference(subst,[],[refute_0_262:[bind(X_43,$fot(X_32100)),bind(X_44,$fot(equivalent(X_128,equivalent(X_16761,X_16760)))),bind(X_45,$fot(X_32102)),bind(X_46,$fot(X_32103)),bind(X_47,$fot(equivalent(X_128,equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100)),equivalent(equivalent(X_16760,X_16761),X_32102))))),bind(X_48,$fot(X_32105)),bind(X_49,$fot(X_32106))]]) ).

cnf(refute_0_264,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_32105,X_32106),equivalent(equivalent(X_32105,X_32103),equivalent(X_32106,X_32103))),equivalent(X_128,equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100)),equivalent(equivalent(X_16760,X_16761),X_32102))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32102),equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100))),equivalent(X_128,equivalent(equivalent(equivalent(equivalent(X_128,equivalent(X_16761,X_16760)),X_32100),equivalent(X_32102,X_32100)),equivalent(equivalent(X_16760,X_16761),X_32102))))) )],[refute_0_255,refute_0_263]) ).

cnf(refute_0_265,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_33810,X_33810),equivalent(equivalent(X_33810,X_33808),equivalent(X_33810,X_33808))),equivalent(X_33803,equivalent(equivalent(equivalent(equivalent(X_33803,equivalent(X_33805,X_33804)),X_33806),equivalent(X_33807,X_33806)),equivalent(equivalent(X_33804,X_33805),X_33807))))),
    inference(subst,[],[refute_0_264:[bind(X_128,$fot(X_33803)),bind(X_16760,$fot(X_33804)),bind(X_16761,$fot(X_33805)),bind(X_32100,$fot(X_33806)),bind(X_32102,$fot(X_33807)),bind(X_32103,$fot(X_33808)),bind(X_32105,$fot(X_33810)),bind(X_32106,$fot(X_33810))]]) ).

cnf(refute_0_266,plain,
    is_a_theorem(equivalent(equivalent(X_33810,X_33810),equivalent(X_33803,equivalent(equivalent(equivalent(equivalent(X_33803,equivalent(X_33805,X_33804)),X_33806),equivalent(X_33807,X_33806)),equivalent(equivalent(X_33804,X_33805),X_33807))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_33810,X_33810),equivalent(equivalent(X_33810,X_33808),equivalent(X_33810,X_33808))),equivalent(X_33803,equivalent(equivalent(equivalent(equivalent(X_33803,equivalent(X_33805,X_33804)),X_33806),equivalent(X_33807,X_33806)),equivalent(equivalent(X_33804,X_33805),X_33807))))) )],[refute_0_265,refute_0_144]) ).

cnf(refute_0_267,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)),equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064))),equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)),equivalent(equivalent(X_38062,X_38063),X_38065))))),
    inference(subst,[],[refute_0_266:[bind(X_33803,$fot(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)))),bind(X_33804,$fot(X_38062)),bind(X_33805,$fot(X_38063)),bind(X_33806,$fot(X_38064)),bind(X_33807,$fot(X_38065)),bind(X_33810,$fot(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064))))]]) ).

cnf(refute_0_268,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)),X_765)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)),equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064))),equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(equivalent(equivalent(equivalent(equivalent(X_765,equivalent(equivalent(X_38062,X_38063),X_38065)),equivalent(X_38063,X_38062)),X_38064),equivalent(X_38065,X_38064)),equivalent(equivalent(X_38062,X_38063),X_38065))))) )],[refute_0_267,refute_0_143]) ).

cnf(refute_0_269,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_38071,equivalent(equivalent(X_38067,X_38068),X_38070)),equivalent(X_38068,X_38067)),X_38069),equivalent(X_38070,X_38069)),X_38071)),
    inference(subst,[],[refute_0_268:[bind(X_38062,$fot(X_38067)),bind(X_38063,$fot(X_38068)),bind(X_38064,$fot(X_38069)),bind(X_38065,$fot(X_38070)),bind(X_765,$fot(X_38071))]]) ).

cnf(refute_0_270,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_38071,equivalent(equivalent(X_38067,X_38068),X_38070)),equivalent(X_38068,X_38067)),X_34),equivalent(X_38069,X_34)),equivalent(X_38070,X_38069)),X_38071)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_38071,equivalent(equivalent(X_38067,X_38068),X_38070)),equivalent(X_38068,X_38067)),X_38069),equivalent(X_38070,X_38069)),X_38071)) )],[refute_0_269,refute_0_127]) ).

cnf(refute_0_271,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_38161,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)),equivalent(X_38159,X_38159)),X_38161)),
    inference(subst,[],[refute_0_270:[bind(X_34,$fot(X_38156)),bind(X_38067,$fot(X_38157)),bind(X_38068,$fot(X_38158)),bind(X_38069,$fot(X_38159)),bind(X_38070,$fot(X_38159)),bind(X_38071,$fot(X_38161))]]) ).

cnf(refute_0_272,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_38161,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)),X_871),equivalent(X_38161,X_871))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_38161,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)),equivalent(X_38159,X_38159)),X_38161)) )],[refute_0_271,refute_0_126]) ).

cnf(refute_0_273,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_45533,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)),X_45532),equivalent(X_45533,X_45532))),
    inference(subst,[],[refute_0_272:[bind(X_38161,$fot(X_45533)),bind(X_871,$fot(X_45532))]]) ).

cnf(refute_0_274,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_124,X_125),X_121),equivalent(X_122,X_121)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_124,X_125),X_121),equivalent(X_122,X_121)),equivalent(equivalent(equivalent(X_124,X_123),equivalent(X_125,X_123)),X_122)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_124,X_123),equivalent(X_125,X_123)),X_122)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_124,X_125),X_121),equivalent(X_122,X_121)))),bind(Y,$fot(equivalent(equivalent(equivalent(X_124,X_123),equivalent(X_125,X_123)),X_122)))]]) ).

cnf(refute_0_275,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),X_119),equivalent(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)),X_119))),
    inference(subst,[],[refute_0_18:[bind(X_26,$fot(X_119))]]) ).

cnf(refute_0_276,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),X_119),equivalent(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)),X_119)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_15,X_16),X_117),equivalent(X_119,X_117)),equivalent(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)),X_119))) ),
    inference(subst,[],[refute_0_20:[bind(X_29,$fot(X_117)),bind(X_30,$fot(equivalent(X_15,X_16))),bind(X_31,$fot(X_119)),bind(X_32,$fot(equivalent(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)),X_119)))]]) ).

cnf(refute_0_277,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_15,X_16),X_117),equivalent(X_119,X_117)),equivalent(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)),X_119))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_15,X_16),X_119),equivalent(equivalent(equivalent(X_15,X_14),equivalent(X_16,X_14)),X_119))) )],[refute_0_275,refute_0_276]) ).

cnf(refute_0_278,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_124,X_125),X_121),equivalent(X_122,X_121)),equivalent(equivalent(equivalent(X_124,X_123),equivalent(X_125,X_123)),X_122))),
    inference(subst,[],[refute_0_277:[bind(X_117,$fot(X_121)),bind(X_119,$fot(X_122)),bind(X_14,$fot(X_123)),bind(X_15,$fot(X_124)),bind(X_16,$fot(X_125))]]) ).

cnf(refute_0_279,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_124,X_125),X_121),equivalent(X_122,X_121)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_124,X_123),equivalent(X_125,X_123)),X_122)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_124,X_125),X_121),equivalent(X_122,X_121)),equivalent(equivalent(equivalent(X_124,X_123),equivalent(X_125,X_123)),X_122))) )],[refute_0_278,refute_0_274]) ).

cnf(refute_0_280,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_45533,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)),X_45532),equivalent(X_45533,X_45532)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_45533,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),X_45534),equivalent(equivalent(X_38159,X_38156),X_45534)),X_45533)) ),
    inference(subst,[],[refute_0_279:[bind(X_121,$fot(X_45532)),bind(X_122,$fot(X_45533)),bind(X_123,$fot(X_45534)),bind(X_124,$fot(equivalent(equivalent(equivalent(X_45533,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156))),bind(X_125,$fot(equivalent(X_38159,X_38156)))]]) ).

cnf(refute_0_281,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_45533,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),X_45534),equivalent(equivalent(X_38159,X_38156),X_45534)),X_45533)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_45533,equivalent(equivalent(X_38157,X_38158),X_38159)),equivalent(X_38158,X_38157)),X_38156),equivalent(X_38159,X_38156)),X_45532),equivalent(X_45533,X_45532))) )],[refute_0_273,refute_0_280]) ).

cnf(refute_0_282,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_56567,equivalent(equivalent(X_56564,X_56565),X_56563)),equivalent(X_56565,X_56564)),X_56563),X_56568),equivalent(equivalent(X_56563,X_56563),X_56568)),X_56567)),
    inference(subst,[],[refute_0_281:[bind(X_38156,$fot(X_56563)),bind(X_38157,$fot(X_56564)),bind(X_38158,$fot(X_56565)),bind(X_38159,$fot(X_56563)),bind(X_45533,$fot(X_56567)),bind(X_45534,$fot(X_56568))]]) ).

cnf(refute_0_283,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_56567,equivalent(equivalent(X_56564,X_56565),X_56563)),equivalent(X_56565,X_56564)),X_56563),X_56568),equivalent(X_56567,X_56568))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_56567,equivalent(equivalent(X_56564,X_56565),X_56563)),equivalent(X_56565,X_56564)),X_56563),X_56568),equivalent(equivalent(X_56563,X_56563),X_56568)),X_56567)) )],[refute_0_282,refute_0_109]) ).

cnf(refute_0_284,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_56578,equivalent(equivalent(X_56576,X_56577),X_56575)),equivalent(X_56577,X_56576)),X_56575),equivalent(X_490,X_56575)),equivalent(X_56578,equivalent(X_490,X_56575)))),
    inference(subst,[],[refute_0_283:[bind(X_56563,$fot(X_56575)),bind(X_56564,$fot(X_56576)),bind(X_56565,$fot(X_56577)),bind(X_56567,$fot(X_56578)),bind(X_56568,$fot(equivalent(X_490,X_56575)))]]) ).

cnf(refute_0_285,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_56578,equivalent(equivalent(X_56576,X_56577),X_56575)),equivalent(X_56577,X_56576)),X_490),equivalent(X_56578,equivalent(X_490,X_56575)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_56578,equivalent(equivalent(X_56576,X_56577),X_56575)),equivalent(X_56577,X_56576)),X_56575),equivalent(X_490,X_56575)),equivalent(X_56578,equivalent(X_490,X_56575)))) )],[refute_0_284,refute_0_76]) ).

cnf(refute_0_286,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_56584,equivalent(equivalent(X_56582,X_56583),X_56581)),equivalent(X_56583,X_56582)),equivalent(X_634,X_634)),equivalent(X_56584,equivalent(equivalent(X_634,X_634),X_56581)))),
    inference(subst,[],[refute_0_285:[bind(X_490,$fot(equivalent(X_634,X_634))),bind(X_56575,$fot(X_56581)),bind(X_56576,$fot(X_56582)),bind(X_56577,$fot(X_56583)),bind(X_56578,$fot(X_56584))]]) ).

cnf(refute_0_287,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_56584,equivalent(equivalent(X_56582,X_56583),X_56581)),equivalent(X_56583,X_56582)),equivalent(X_56584,equivalent(equivalent(X_634,X_634),X_56581)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_56584,equivalent(equivalent(X_56582,X_56583),X_56581)),equivalent(X_56583,X_56582)),equivalent(X_634,X_634)),equivalent(X_56584,equivalent(equivalent(X_634,X_634),X_56581)))) )],[refute_0_286,refute_0_66]) ).

cnf(refute_0_288,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_56634,equivalent(equivalent(X_56631,equivalent(X_56635,X_56635)),X_56631)),equivalent(equivalent(X_56635,X_56635),X_56631)),equivalent(X_56634,equivalent(equivalent(X_56635,X_56635),X_56631)))),
    inference(subst,[],[refute_0_287:[bind(X_56581,$fot(X_56631)),bind(X_56582,$fot(X_56631)),bind(X_56583,$fot(equivalent(X_56635,X_56635))),bind(X_56584,$fot(X_56634)),bind(X_634,$fot(X_56635))]]) ).

cnf(refute_0_289,plain,
    is_a_theorem(equivalent(equivalent(X_56634,equivalent(equivalent(X_56631,equivalent(X_56635,X_56635)),X_56631)),X_56634)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_56634,equivalent(equivalent(X_56631,equivalent(X_56635,X_56635)),X_56631)),equivalent(equivalent(X_56635,X_56635),X_56631)),equivalent(X_56634,equivalent(equivalent(X_56635,X_56635),X_56631)))) )],[refute_0_288,refute_0_44]) ).

cnf(refute_0_290,plain,
    is_a_theorem(equivalent(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)),X_56637)),
    inference(subst,[],[refute_0_289:[bind(X_56631,$fot(X_56636)),bind(X_56634,$fot(X_56637)),bind(X_56635,$fot(X_56638))]]) ).

cnf(refute_0_291,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)),X_17),equivalent(X_56637,X_17))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)),X_56637)) )],[refute_0_290,refute_0_14]) ).

cnf(refute_0_292,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)),equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))),equivalent(X_56637,equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))))),
    inference(subst,[],[refute_0_291:[bind(X_17,$fot(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))))]]) ).

cnf(refute_0_293,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_661,X_661),X_662))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_661,X_661),X_662),equivalent(equivalent(X_663,X_663),X_662)))
    | is_a_theorem(equivalent(equivalent(X_663,X_663),X_662)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_661,X_661),X_662))),bind(Y,$fot(equivalent(equivalent(X_663,X_663),X_662)))]]) ).

cnf(refute_0_294,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_631,X_631),X_658),equivalent(equivalent(X_660,X_660),X_658)),equivalent(X_631,X_631)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_631,X_631),X_658),equivalent(equivalent(X_660,X_660),X_658))) ),
    inference(subst,[],[refute_0_79:[bind(X_632,$fot(equivalent(equivalent(equivalent(X_631,X_631),X_658),equivalent(equivalent(X_660,X_660),X_658))))]]) ).

cnf(refute_0_295,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_631,X_631),X_658),equivalent(equivalent(X_660,X_660),X_658)),equivalent(X_631,X_631))),
    inference(subst,[],[refute_0_95:[bind(X_654,$fot(X_658)),bind(X_655,$fot(equivalent(X_631,X_631))),bind(X_657,$fot(X_660))]]) ).

cnf(refute_0_296,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_631,X_631),X_658),equivalent(equivalent(X_660,X_660),X_658))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_631,X_631),X_658),equivalent(equivalent(X_660,X_660),X_658)),equivalent(X_631,X_631))) )],[refute_0_295,refute_0_294]) ).

cnf(refute_0_297,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_661,X_661),X_662),equivalent(equivalent(X_663,X_663),X_662))),
    inference(subst,[],[refute_0_296:[bind(X_631,$fot(X_661)),bind(X_658,$fot(X_662)),bind(X_660,$fot(X_663))]]) ).

cnf(refute_0_298,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_661,X_661),X_662))
    | is_a_theorem(equivalent(equivalent(X_663,X_663),X_662)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_661,X_661),X_662),equivalent(equivalent(X_663,X_663),X_662))) )],[refute_0_297,refute_0_293]) ).

cnf(refute_0_299,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)),equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))),equivalent(X_56637,equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)))))
    | is_a_theorem(equivalent(equivalent(X_66641,X_66641),equivalent(X_56637,equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))))) ),
    inference(subst,[],[refute_0_298:[bind(X_661,$fot(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)))),bind(X_662,$fot(equivalent(X_56637,equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))))),bind(X_663,$fot(X_66641))]]) ).

cnf(refute_0_300,plain,
    is_a_theorem(equivalent(equivalent(X_66641,X_66641),equivalent(X_56637,equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636)),equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))),equivalent(X_56637,equivalent(X_56637,equivalent(equivalent(X_56636,equivalent(X_56638,X_56638)),X_56636))))) )],[refute_0_292,refute_0_299]) ).

cnf(refute_0_301,plain,
    is_a_theorem(equivalent(equivalent(X_66645,X_66645),equivalent(X_66643,equivalent(X_66643,equivalent(equivalent(X_66642,equivalent(X_66644,X_66644)),X_66642))))),
    inference(subst,[],[refute_0_300:[bind(X_56636,$fot(X_66642)),bind(X_56637,$fot(X_66643)),bind(X_56638,$fot(X_66644)),bind(X_66641,$fot(X_66645))]]) ).

cnf(refute_0_302,plain,
    ( ~ is_a_theorem(equivalent(X_66645,X_66645))
    | is_a_theorem(equivalent(X_66643,equivalent(X_66643,equivalent(equivalent(X_66642,equivalent(X_66644,X_66644)),X_66642)))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_66645,X_66645),equivalent(X_66643,equivalent(X_66643,equivalent(equivalent(X_66642,equivalent(X_66644,X_66644)),X_66642))))) )],[refute_0_301,refute_0_0]) ).

cnf(refute_0_303,plain,
    is_a_theorem(equivalent(X_66645,X_66645)),
    inference(subst,[],[refute_0_231:[bind(X_593,$fot(X_66645))]]) ).

cnf(refute_0_304,plain,
    is_a_theorem(equivalent(X_66643,equivalent(X_66643,equivalent(equivalent(X_66642,equivalent(X_66644,X_66644)),X_66642)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_66645,X_66645)) )],[refute_0_303,refute_0_302]) ).

cnf(refute_0_305,plain,
    is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
    inference(subst,[],[refute_0_304:[bind(X_66642,$fot(b)),bind(X_66643,$fot(a)),bind(X_66644,$fot(c))]]) ).

cnf(refute_0_306,plain,
    $false,
    inference(resolve,[$cnf( is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))) )],[refute_0_305,prove_lg_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL121-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  2 16:49:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 123.13/123.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 123.13/123.35  
% 123.13/123.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 123.22/123.38  
%------------------------------------------------------------------------------