TSTP Solution File: LCL166-1 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL166-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 12:50:07 EDT 2022

% Result   : Unsatisfiable 65.72s 65.94s
% Output   : CNFRefutation 65.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   64
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  235 ( 131 unt;   0 nHn;  71 RR)
%            Number of literals    :  364 (   0 equ; 130 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   21 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   : 1347 (   0 sgn)

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

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

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

cnf(refute_0_0,plain,
    ( ~ is_a_theorem(equivalent(X_1689,equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_1687),X_1688)),equivalent(X_1690,X_1689)),X_1687)))
    | ~ is_a_theorem(equivalent(equivalent(X_1689,equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_1687),X_1688)),equivalent(X_1690,X_1689)),X_1687)),X_1690))
    | is_a_theorem(X_1690) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_1689,equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_1687),X_1688)),equivalent(X_1690,X_1689)),X_1687)))),bind(Y,$fot(X_1690))]]) ).

cnf(refute_0_1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))),X_28))
    | is_a_theorem(X_28) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))))),bind(Y,$fot(X_28))]]) ).

cnf(refute_0_2,plain,
    is_a_theorem(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_21),Y)))),
    inference(subst,[],[xhn:[bind(X,$fot(X_21))]]) ).

cnf(refute_0_3,plain,
    ( ~ is_a_theorem(equivalent(X_11,X_12))
    | ~ is_a_theorem(equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11)))
    | is_a_theorem(equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_11,X_12))),bind(Y,$fot(equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11)))]]) ).

cnf(refute_0_4,plain,
    is_a_theorem(equivalent(X_3,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_3),Y)))),
    inference(subst,[],[xhn:[bind(X,$fot(X_3))]]) ).

cnf(refute_0_5,plain,
    ( ~ is_a_theorem(X_3)
    | ~ is_a_theorem(equivalent(X_3,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_3),Y))))
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_3),Y))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3)),bind(Y,$fot(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_3),Y))))]]) ).

cnf(refute_0_6,plain,
    ( ~ is_a_theorem(X_3)
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_3),Y))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_3,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_3),Y)))) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))
    | is_a_theorem(equivalent(equivalent(X_5,X_6),equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5))) ),
    inference(subst,[],[refute_0_6:[bind(Y,$fot(X_5)),bind(Z,$fot(X_6)),bind(X_3,$fot(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))]]) ).

cnf(refute_0_8,plain,
    is_a_theorem(equivalent(equivalent(X_5,X_6),equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))) )],[xhn,refute_0_7]) ).

cnf(refute_0_9,plain,
    is_a_theorem(equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(X_8)),bind(Y,$fot(X_9)),bind(Z,$fot(X_10)),bind(X_5,$fot(X_11)),bind(X_6,$fot(X_12))]]) ).

cnf(refute_0_10,plain,
    ( ~ is_a_theorem(equivalent(X_11,X_12))
    | is_a_theorem(equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11))) )],[refute_0_9,refute_0_3]) ).

cnf(refute_0_11,plain,
    ( ~ is_a_theorem(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_21),Y))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_21),Y)),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))),X_21)) ),
    inference(subst,[],[refute_0_10:[bind(X_10,$fot(X_20)),bind(X_11,$fot(X_21)),bind(X_12,$fot(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_21),Y)))),bind(X_8,$fot(X_23)),bind(X_9,$fot(X_24))]]) ).

cnf(refute_0_12,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_21),Y)),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))),X_21)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_21,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_21),Y)))) )],[refute_0_2,refute_0_11]) ).

cnf(refute_0_13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))),X_28)),
    inference(subst,[],[refute_0_12:[bind(Y,$fot(X_25)),bind(Z,$fot(X_26)),bind(X_20,$fot(X_27)),bind(X_21,$fot(X_28)),bind(X_23,$fot(X_29)),bind(X_24,$fot(X_30))]]) ).

cnf(refute_0_14,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))))
    | is_a_theorem(X_28) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))),X_28)) )],[refute_0_13,refute_0_1]) ).

cnf(refute_0_15,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683))),equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))))),equivalent(X_1683,X_1681)),equivalent(equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683)),equivalent(equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683))),equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))))))),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)))))
    | is_a_theorem(equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683)) ),
    inference(subst,[],[refute_0_14:[bind(X_25,$fot(equivalent(equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683))),equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))))))),bind(X_26,$fot(equivalent(X_1683,X_1681))),bind(X_27,$fot(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)))),bind(X_28,$fot(equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683))),bind(X_29,$fot(equivalent(X_1683,X_1681))),bind(X_30,$fot(X_1679))]]) ).

cnf(refute_0_16,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_489,X_488),equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),X_489)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),X_489),equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),equivalent(X_489,X_488))) ),
    inference(subst,[],[refute_0_10:[bind(X_11,$fot(equivalent(X_489,X_488))),bind(X_12,$fot(equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),X_489)))]]) ).

cnf(refute_0_17,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_79,X_80),equivalent(equivalent(X_80,X_81),X_79)),equivalent(equivalent(X_83,X_84),equivalent(equivalent(X_84,equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),X_83))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_79,X_80),equivalent(equivalent(X_80,X_81),X_79)),equivalent(equivalent(X_83,X_84),equivalent(equivalent(X_84,equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),X_83))),X_81))
    | is_a_theorem(X_81) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_79,X_80),equivalent(equivalent(X_80,X_81),X_79)),equivalent(equivalent(X_83,X_84),equivalent(equivalent(X_84,equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),X_83))))),bind(Y,$fot(X_81))]]) ).

cnf(refute_0_18,plain,
    is_a_theorem(equivalent(X_62,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_62),Y)))),
    inference(subst,[],[xhn:[bind(X,$fot(X_62))]]) ).

cnf(refute_0_19,plain,
    ( ~ is_a_theorem(equivalent(X_13,X_14))
    | ~ is_a_theorem(equivalent(equivalent(X_13,X_14),equivalent(equivalent(X_14,equivalent(equivalent(X_16,X_17),equivalent(equivalent(X_17,equivalent(X_18,equivalent(equivalent(X_19,X_15),equivalent(equivalent(X_15,X_18),X_19)))),X_16))),X_13)))
    | is_a_theorem(equivalent(equivalent(X_14,equivalent(equivalent(X_16,X_17),equivalent(equivalent(X_17,equivalent(X_18,equivalent(equivalent(X_19,X_15),equivalent(equivalent(X_15,X_18),X_19)))),X_16))),X_13)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_13,X_14))),bind(Y,$fot(equivalent(equivalent(X_14,equivalent(equivalent(X_16,X_17),equivalent(equivalent(X_17,equivalent(X_18,equivalent(equivalent(X_19,X_15),equivalent(equivalent(X_15,X_18),X_19)))),X_16))),X_13)))]]) ).

cnf(refute_0_20,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11)))
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11))),Y))) ),
    inference(subst,[],[refute_0_6:[bind(X_3,$fot(equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11))))]]) ).

cnf(refute_0_21,plain,
    is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11))),Y))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_11,X_12),equivalent(equivalent(X_12,equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),X_11))) )],[refute_0_9,refute_0_20]) ).

cnf(refute_0_22,plain,
    is_a_theorem(equivalent(equivalent(X_13,X_14),equivalent(equivalent(X_14,equivalent(equivalent(X_16,X_17),equivalent(equivalent(X_17,equivalent(X_18,equivalent(equivalent(X_19,X_15),equivalent(equivalent(X_15,X_18),X_19)))),X_16))),X_13))),
    inference(subst,[],[refute_0_21:[bind(Y,$fot(X_13)),bind(Z,$fot(X_14)),bind(X_10,$fot(X_15)),bind(X_11,$fot(X_16)),bind(X_12,$fot(X_17)),bind(X_8,$fot(X_18)),bind(X_9,$fot(X_19))]]) ).

cnf(refute_0_23,plain,
    ( ~ is_a_theorem(equivalent(X_13,X_14))
    | is_a_theorem(equivalent(equivalent(X_14,equivalent(equivalent(X_16,X_17),equivalent(equivalent(X_17,equivalent(X_18,equivalent(equivalent(X_19,X_15),equivalent(equivalent(X_15,X_18),X_19)))),X_16))),X_13)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_13,X_14),equivalent(equivalent(X_14,equivalent(equivalent(X_16,X_17),equivalent(equivalent(X_17,equivalent(X_18,equivalent(equivalent(X_19,X_15),equivalent(equivalent(X_15,X_18),X_19)))),X_16))),X_13))) )],[refute_0_22,refute_0_19]) ).

cnf(refute_0_24,plain,
    ( ~ is_a_theorem(equivalent(X_62,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_62),Y))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_62),Y)),equivalent(equivalent(X_65,X_66),equivalent(equivalent(X_66,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_65))),X_62)) ),
    inference(subst,[],[refute_0_23:[bind(X_13,$fot(X_62)),bind(X_14,$fot(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_62),Y)))),bind(X_15,$fot(X_64)),bind(X_16,$fot(X_65)),bind(X_17,$fot(X_66)),bind(X_18,$fot(X_67)),bind(X_19,$fot(X_68))]]) ).

cnf(refute_0_25,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_62),Y)),equivalent(equivalent(X_65,X_66),equivalent(equivalent(X_66,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_65))),X_62)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_62,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_62),Y)))) )],[refute_0_18,refute_0_24]) ).

cnf(refute_0_26,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_79,X_80),equivalent(equivalent(X_80,X_81),X_79)),equivalent(equivalent(X_83,X_84),equivalent(equivalent(X_84,equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),X_83))),X_81)),
    inference(subst,[],[refute_0_25:[bind(Y,$fot(X_79)),bind(Z,$fot(X_80)),bind(X_62,$fot(X_81)),bind(X_64,$fot(X_82)),bind(X_65,$fot(X_83)),bind(X_66,$fot(X_84)),bind(X_67,$fot(X_85)),bind(X_68,$fot(X_86))]]) ).

cnf(refute_0_27,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_79,X_80),equivalent(equivalent(X_80,X_81),X_79)),equivalent(equivalent(X_83,X_84),equivalent(equivalent(X_84,equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),X_83))))
    | is_a_theorem(X_81) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_79,X_80),equivalent(equivalent(X_80,X_81),X_79)),equivalent(equivalent(X_83,X_84),equivalent(equivalent(X_84,equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),X_83))),X_81)) )],[refute_0_26,refute_0_17]) ).

cnf(refute_0_28,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_487,X_474),equivalent(equivalent(X_474,equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),X_487)),equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),equivalent(equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_487,X_474),equivalent(equivalent(X_474,equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),X_487)))),equivalent(equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)),equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))))))
    | is_a_theorem(equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))) ),
    inference(subst,[],[refute_0_27:[bind(X_79,$fot(equivalent(equivalent(X_487,X_474),equivalent(equivalent(X_474,equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),X_487)))),bind(X_80,$fot(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))))),bind(X_81,$fot(equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),bind(X_83,$fot(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))))),bind(X_84,$fot(equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))))]]) ).

cnf(refute_0_29,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_144,equivalent(equivalent(X_146,X_147),equivalent(equivalent(X_147,equivalent(X_148,equivalent(equivalent(X_149,X_145),equivalent(equivalent(X_145,X_148),X_149)))),X_146))),equivalent(equivalent(equivalent(X_139,X_140),equivalent(equivalent(X_140,X_144),X_139)),equivalent(X_142,equivalent(equivalent(X_143,X_141),equivalent(equivalent(X_141,X_142),X_143))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_139,X_140),equivalent(equivalent(X_140,X_144),X_139)),equivalent(X_142,equivalent(equivalent(X_143,X_141),equivalent(equivalent(X_141,X_142),X_143)))),equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),equivalent(X_144,equivalent(equivalent(X_146,X_147),equivalent(equivalent(X_147,equivalent(X_148,equivalent(equivalent(X_149,X_145),equivalent(equivalent(X_145,X_148),X_149)))),X_146))))) ),
    inference(subst,[],[refute_0_10:[bind(X_11,$fot(equivalent(X_144,equivalent(equivalent(X_146,X_147),equivalent(equivalent(X_147,equivalent(X_148,equivalent(equivalent(X_149,X_145),equivalent(equivalent(X_145,X_148),X_149)))),X_146))))),bind(X_12,$fot(equivalent(equivalent(equivalent(X_139,X_140),equivalent(equivalent(X_140,X_144),X_139)),equivalent(X_142,equivalent(equivalent(X_143,X_141),equivalent(equivalent(X_141,X_142),X_143))))))]]) ).

cnf(refute_0_30,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_63),Y)),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))),X_63)),
    inference(subst,[],[refute_0_12:[bind(X_21,$fot(X_63))]]) ).

cnf(refute_0_31,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_63),Y)),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))),X_63))
    | is_a_theorem(equivalent(equivalent(X_63,equivalent(equivalent(X_65,X_66),equivalent(equivalent(X_66,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_65))),equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_63),Y)),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))))) ),
    inference(subst,[],[refute_0_23:[bind(X_13,$fot(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_63),Y)),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))))),bind(X_14,$fot(X_63)),bind(X_15,$fot(X_64)),bind(X_16,$fot(X_65)),bind(X_17,$fot(X_66)),bind(X_18,$fot(X_67)),bind(X_19,$fot(X_68))]]) ).

cnf(refute_0_32,plain,
    is_a_theorem(equivalent(equivalent(X_63,equivalent(equivalent(X_65,X_66),equivalent(equivalent(X_66,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_65))),equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_63),Y)),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X_63),Y)),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))),X_63)) )],[refute_0_30,refute_0_31]) ).

cnf(refute_0_33,plain,
    is_a_theorem(equivalent(equivalent(X_144,equivalent(equivalent(X_146,X_147),equivalent(equivalent(X_147,equivalent(X_148,equivalent(equivalent(X_149,X_145),equivalent(equivalent(X_145,X_148),X_149)))),X_146))),equivalent(equivalent(equivalent(X_139,X_140),equivalent(equivalent(X_140,X_144),X_139)),equivalent(X_142,equivalent(equivalent(X_143,X_141),equivalent(equivalent(X_141,X_142),X_143)))))),
    inference(subst,[],[refute_0_32:[bind(Y,$fot(X_139)),bind(Z,$fot(X_140)),bind(X_20,$fot(X_141)),bind(X_23,$fot(X_142)),bind(X_24,$fot(X_143)),bind(X_63,$fot(X_144)),bind(X_64,$fot(X_145)),bind(X_65,$fot(X_146)),bind(X_66,$fot(X_147)),bind(X_67,$fot(X_148)),bind(X_68,$fot(X_149))]]) ).

cnf(refute_0_34,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_139,X_140),equivalent(equivalent(X_140,X_144),X_139)),equivalent(X_142,equivalent(equivalent(X_143,X_141),equivalent(equivalent(X_141,X_142),X_143)))),equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),equivalent(X_144,equivalent(equivalent(X_146,X_147),equivalent(equivalent(X_147,equivalent(X_148,equivalent(equivalent(X_149,X_145),equivalent(equivalent(X_145,X_148),X_149)))),X_146))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_144,equivalent(equivalent(X_146,X_147),equivalent(equivalent(X_147,equivalent(X_148,equivalent(equivalent(X_149,X_145),equivalent(equivalent(X_145,X_148),X_149)))),X_146))),equivalent(equivalent(equivalent(X_139,X_140),equivalent(equivalent(X_140,X_144),X_139)),equivalent(X_142,equivalent(equivalent(X_143,X_141),equivalent(equivalent(X_141,X_142),X_143)))))) )],[refute_0_33,refute_0_29]) ).

cnf(refute_0_35,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_487,X_474),equivalent(equivalent(X_474,equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),X_487)),equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),equivalent(equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_487,X_474),equivalent(equivalent(X_474,equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),X_487)))),equivalent(equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)),equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))))))),
    inference(subst,[],[refute_0_34:[bind(X_10,$fot(X_474)),bind(X_139,$fot(X_487)),bind(X_140,$fot(X_474)),bind(X_141,$fot(X_477)),bind(X_142,$fot(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))))),bind(X_143,$fot(X_479)),bind(X_144,$fot(equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))))),bind(X_145,$fot(X_481)),bind(X_146,$fot(equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),bind(X_147,$fot(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))))),bind(X_148,$fot(X_484)),bind(X_149,$fot(X_485)),bind(X_8,$fot(equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))))),bind(X_9,$fot(X_487))]]) ).

cnf(refute_0_36,plain,
    is_a_theorem(equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_487,X_474),equivalent(equivalent(X_474,equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),X_487)),equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),equivalent(equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_487,X_474),equivalent(equivalent(X_474,equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)))),X_487)))),equivalent(equivalent(equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))),equivalent(equivalent(equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479)),equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86)))),equivalent(equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485)))),equivalent(equivalent(X_479,X_477),equivalent(equivalent(X_477,equivalent(equivalent(X_85,equivalent(equivalent(X_86,X_82),equivalent(equivalent(X_82,X_85),X_86))),equivalent(X_484,equivalent(equivalent(X_485,X_481),equivalent(equivalent(X_481,X_484),X_485))))),X_479))))))) )],[refute_0_35,refute_0_28]) ).

cnf(refute_0_37,plain,
    is_a_theorem(equivalent(equivalent(X_489,X_488),equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),X_489))),
    inference(subst,[],[refute_0_36:[bind(X_477,$fot(X_488)),bind(X_479,$fot(X_489)),bind(X_481,$fot(X_490)),bind(X_484,$fot(X_491)),bind(X_485,$fot(X_492)),bind(X_82,$fot(X_493)),bind(X_85,$fot(X_494)),bind(X_86,$fot(X_495))]]) ).

cnf(refute_0_38,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),X_489),equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),equivalent(X_489,X_488))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_489,X_488),equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),X_489))) )],[refute_0_37,refute_0_16]) ).

cnf(refute_0_39,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683))),equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))))),equivalent(X_1683,X_1681)),equivalent(equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683)),equivalent(equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683))),equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))))))),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679))))),
    inference(subst,[],[refute_0_38:[bind(X_10,$fot(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679))),bind(X_488,$fot(equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)))),bind(X_489,$fot(equivalent(X_1683,X_1681))),bind(X_490,$fot(X_1678)),bind(X_491,$fot(X_1679)),bind(X_492,$fot(X_1680)),bind(X_493,$fot(X_1681)),bind(X_494,$fot(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679))),bind(X_495,$fot(X_1683)),bind(X_8,$fot(equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683)))),bind(X_9,$fot(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)))))]]) ).

cnf(refute_0_40,plain,
    is_a_theorem(equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683))),equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))))),equivalent(X_1683,X_1681)),equivalent(equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683)),equivalent(equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1681,equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679)),X_1683))),equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))))))),equivalent(equivalent(X_1683,X_1681),equivalent(equivalent(X_1679,equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680))),equivalent(equivalent(equivalent(equivalent(X_1680,X_1678),equivalent(equivalent(X_1678,X_1679),X_1680)),equivalent(X_1683,X_1681)),X_1679))))) )],[refute_0_39,refute_0_15]) ).

cnf(refute_0_41,plain,
    is_a_theorem(equivalent(equivalent(X_1689,equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_1687),X_1688)),equivalent(X_1690,X_1689)),X_1687)),X_1690)),
    inference(subst,[],[refute_0_40:[bind(X_1678,$fot(X_1686)),bind(X_1679,$fot(X_1687)),bind(X_1680,$fot(X_1688)),bind(X_1681,$fot(X_1689)),bind(X_1683,$fot(X_1690))]]) ).

cnf(refute_0_42,plain,
    ( ~ is_a_theorem(equivalent(X_1689,equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_1687),X_1688)),equivalent(X_1690,X_1689)),X_1687)))
    | is_a_theorem(X_1690) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_1689,equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_1687),X_1688)),equivalent(X_1690,X_1689)),X_1687)),X_1690)) )],[refute_0_41,refute_0_0]) ).

cnf(refute_0_43,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_26447),X_1688)),equivalent(equivalent(equivalent(equivalent(X_1686,X_26447),X_1688),equivalent(X_26447,equivalent(X_1688,X_1686))),equivalent(X_1688,X_1686))),X_26447)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_26447),X_1688),equivalent(X_26447,equivalent(X_1688,X_1686)))) ),
    inference(subst,[],[refute_0_42:[bind(X_1687,$fot(X_26447)),bind(X_1689,$fot(equivalent(X_1688,X_1686))),bind(X_1690,$fot(equivalent(equivalent(equivalent(X_1686,X_26447),X_1688),equivalent(X_26447,equivalent(X_1688,X_1686)))))]]) ).

cnf(refute_0_44,plain,
    is_a_theorem(equivalent(equivalent(X_26400,equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399)),equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399),equivalent(equivalent(X_26399,X_26400),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)))),X_26400))),
    inference(subst,[],[refute_0_8:[bind(X,$fot(equivalent(X_26399,X_26400))),bind(X_5,$fot(X_26400)),bind(X_6,$fot(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399)))]]) ).

cnf(refute_0_45,plain,
    ( ~ is_a_theorem(equivalent(X_20201,equivalent(equivalent(equivalent(X_20200,X_20198),equivalent(equivalent(X_20198,X_20199),X_20200)),X_20199)))
    | ~ is_a_theorem(equivalent(equivalent(X_20201,equivalent(equivalent(equivalent(X_20200,X_20198),equivalent(equivalent(X_20198,X_20199),X_20200)),X_20199)),X_20201))
    | is_a_theorem(X_20201) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_20201,equivalent(equivalent(equivalent(X_20200,X_20198),equivalent(equivalent(X_20198,X_20199),X_20200)),X_20199)))),bind(Y,$fot(X_20201))]]) ).

cnf(refute_0_46,plain,
    ( ~ is_a_theorem(X_3960)
    | ~ is_a_theorem(equivalent(X_3960,equivalent(equivalent(X_3959,X_3959),X_3960)))
    | is_a_theorem(equivalent(equivalent(X_3959,X_3959),X_3960)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3960)),bind(Y,$fot(equivalent(equivalent(X_3959,X_3959),X_3960)))]]) ).

cnf(refute_0_47,plain,
    ( ~ is_a_theorem(equivalent(X_3819,equivalent(X_3818,X_3818)))
    | ~ is_a_theorem(equivalent(equivalent(X_3819,equivalent(X_3818,X_3818)),X_3819))
    | is_a_theorem(X_3819) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3819,equivalent(X_3818,X_3818)))),bind(Y,$fot(X_3819))]]) ).

cnf(refute_0_48,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3357,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3357),X_3355))),X_3358))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_3357,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3357),X_3355))),X_3358),X_3358))
    | is_a_theorem(X_3358) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_3357,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3357),X_3355))),X_3358))),bind(Y,$fot(X_3358))]]) ).

cnf(refute_0_49,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))),equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))))),equivalent(equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)),equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))))),equivalent(equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353)),equivalent(equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))),equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)) ),
    inference(subst,[],[refute_0_27:[bind(X_79,$fot(equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))))),bind(X_80,$fot(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))))),bind(X_81,$fot(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),bind(X_82,$fot(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),bind(X_83,$fot(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))))),bind(X_84,$fot(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353))),bind(X_85,$fot(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))))),bind(X_86,$fot(X_3351))]]) ).

cnf(refute_0_50,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_2808,equivalent(equivalent(X_2814,X_2812),equivalent(equivalent(X_2812,X_2808),X_2814))),equivalent(equivalent(equivalent(equivalent(X_2814,X_2812),equivalent(equivalent(X_2812,X_2808),X_2814)),equivalent(equivalent(equivalent(equivalent(X_2812,X_2808),X_2814),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(X_2814,X_2812))),X_2808)),equivalent(X_2809,equivalent(equivalent(X_2810,X_2811),equivalent(equivalent(X_2811,X_2809),X_2810)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2812,X_2808),X_2814),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(X_2814,X_2812))) ),
    inference(subst,[],[refute_0_14:[bind(X_25,$fot(X_2808)),bind(X_26,$fot(equivalent(equivalent(X_2814,X_2812),equivalent(equivalent(X_2812,X_2808),X_2814)))),bind(X_27,$fot(X_2811)),bind(X_28,$fot(equivalent(equivalent(equivalent(equivalent(X_2812,X_2808),X_2814),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(X_2814,X_2812)))),bind(X_29,$fot(X_2809)),bind(X_30,$fot(X_2810))]]) ).

cnf(refute_0_51,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165))
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),Y))) ),
    inference(subst,[],[refute_0_6:[bind(X_3,$fot(equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)))]]) ).

cnf(refute_0_52,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))),equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27)),equivalent(equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))))),equivalent(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))),equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27)) ),
    inference(subst,[],[refute_0_14:[bind(X_25,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))))),bind(X_26,$fot(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),bind(X_28,$fot(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27))),bind(X_29,$fot(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),bind(X_30,$fot(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159))))]]) ).

cnf(refute_0_53,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_5,X_6),equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5),equivalent(equivalent(X_65,X_66),equivalent(equivalent(X_66,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_65))),equivalent(X_5,X_6))) ),
    inference(subst,[],[refute_0_23:[bind(X_13,$fot(equivalent(X_5,X_6))),bind(X_14,$fot(equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5))),bind(X_15,$fot(X_64)),bind(X_16,$fot(X_65)),bind(X_17,$fot(X_66)),bind(X_18,$fot(X_67)),bind(X_19,$fot(X_68))]]) ).

cnf(refute_0_54,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5),equivalent(equivalent(X_65,X_66),equivalent(equivalent(X_66,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_65))),equivalent(X_5,X_6))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_5,X_6),equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5))) )],[refute_0_8,refute_0_53]) ).

cnf(refute_0_55,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))),equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27)),equivalent(equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))))),equivalent(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))),equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159))))))),
    inference(subst,[],[refute_0_54:[bind(X,$fot(X_150)),bind(Y,$fot(X_151)),bind(Z,$fot(X_152)),bind(X_5,$fot(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),bind(X_6,$fot(equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))))),bind(X_64,$fot(X_155)),bind(X_65,$fot(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),bind(X_66,$fot(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27))),bind(X_67,$fot(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))))),bind(X_68,$fot(X_159))]]) ).

cnf(refute_0_56,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))),equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27)),equivalent(equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)))),equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))))),equivalent(equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))),equivalent(equivalent(equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159)),X_27),equivalent(equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151)))),equivalent(equivalent(X_159,X_155),equivalent(equivalent(X_155,equivalent(X_27,equivalent(X_150,equivalent(equivalent(X_151,X_152),equivalent(equivalent(X_152,X_150),X_151))))),X_159))))))) )],[refute_0_55,refute_0_52]) ).

cnf(refute_0_57,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),
    inference(subst,[],[refute_0_56:[bind(X_150,$fot(X_160)),bind(X_151,$fot(X_161)),bind(X_152,$fot(X_162)),bind(X_155,$fot(X_163)),bind(X_159,$fot(X_164)),bind(X_27,$fot(X_165))]]) ).

cnf(refute_0_58,plain,
    is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),Y))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)) )],[refute_0_57,refute_0_51]) ).

cnf(refute_0_59,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235))),equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240)))),equivalent(equivalent(equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240))),equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235)))))),
    inference(subst,[],[refute_0_58:[bind(Y,$fot(equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235))))),bind(Z,$fot(equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240)))))]]) ).

cnf(refute_0_60,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_332),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),X_335))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_332),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),X_335),X_335))
    | is_a_theorem(X_335) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_332),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),X_335))),bind(Y,$fot(X_335))]]) ).

cnf(refute_0_61,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))),equivalent(equivalent(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))),equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198))))),equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))))),equivalent(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))))))),
    inference(subst,[],[refute_0_54:[bind(X,$fot(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))))),bind(X_5,$fot(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))))),bind(X_6,$fot(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))))),bind(X_65,$fot(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))))),bind(X_66,$fot(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198))))))]]) ).

cnf(refute_0_62,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))),equivalent(equivalent(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))),equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198))))),equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))))),equivalent(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198))))) ),
    inference(subst,[],[refute_0_27:[bind(X_79,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))))),bind(X_80,$fot(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))))),bind(X_81,$fot(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))))),bind(X_82,$fot(X_194)),bind(X_83,$fot(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))))),bind(X_84,$fot(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))),bind(X_85,$fot(X_197)),bind(X_86,$fot(X_198))]]) ).

cnf(refute_0_63,plain,
    is_a_theorem(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))),equivalent(equivalent(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))),equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198))))),equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)))))),equivalent(equivalent(equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y))),equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),Y)),equivalent(X_197,equivalent(equivalent(X_198,X_194),equivalent(equivalent(X_194,X_197),X_198)))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68))))))) )],[refute_0_61,refute_0_62]) ).

cnf(refute_0_64,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_324,equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318)))),equivalent(equivalent(equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_324)),equivalent(X_321,equivalent(equivalent(X_322,X_320),equivalent(equivalent(X_320,X_321),X_322))))),
    inference(subst,[],[refute_0_63:[bind(Y,$fot(X_324)),bind(Z,$fot(equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318))))),bind(X_194,$fot(X_320)),bind(X_197,$fot(X_321)),bind(X_198,$fot(X_322))]]) ).

cnf(refute_0_65,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_55,equivalent(X_48,equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,X_48),X_49)))),X_54),equivalent(X_52,equivalent(equivalent(X_53,X_51),equivalent(equivalent(X_51,X_52),X_53)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_55,equivalent(X_48,equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,X_48),X_49)))),X_54),equivalent(X_52,equivalent(equivalent(X_53,X_51),equivalent(equivalent(X_51,X_52),X_53)))),equivalent(X_54,X_55)))
    | is_a_theorem(equivalent(X_54,X_55)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_55,equivalent(X_48,equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,X_48),X_49)))),X_54),equivalent(X_52,equivalent(equivalent(X_53,X_51),equivalent(equivalent(X_51,X_52),X_53)))))),bind(Y,$fot(equivalent(X_54,X_55)))]]) ).

cnf(refute_0_66,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_5,X_6),equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))),equivalent(X_5,X_6))) ),
    inference(subst,[],[refute_0_10:[bind(X_10,$fot(X_20)),bind(X_11,$fot(equivalent(X_5,X_6))),bind(X_12,$fot(equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5))),bind(X_8,$fot(X_23)),bind(X_9,$fot(X_24))]]) ).

cnf(refute_0_67,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5),equivalent(X_23,equivalent(equivalent(X_24,X_20),equivalent(equivalent(X_20,X_23),X_24)))),equivalent(X_5,X_6))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_5,X_6),equivalent(equivalent(X_6,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),X_5))) )],[refute_0_8,refute_0_66]) ).

cnf(refute_0_68,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_55,equivalent(X_48,equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,X_48),X_49)))),X_54),equivalent(X_52,equivalent(equivalent(X_53,X_51),equivalent(equivalent(X_51,X_52),X_53)))),equivalent(X_54,X_55))),
    inference(subst,[],[refute_0_67:[bind(X,$fot(X_48)),bind(Y,$fot(X_49)),bind(Z,$fot(X_50)),bind(X_20,$fot(X_51)),bind(X_23,$fot(X_52)),bind(X_24,$fot(X_53)),bind(X_5,$fot(X_54)),bind(X_6,$fot(X_55))]]) ).

cnf(refute_0_69,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_55,equivalent(X_48,equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,X_48),X_49)))),X_54),equivalent(X_52,equivalent(equivalent(X_53,X_51),equivalent(equivalent(X_51,X_52),X_53)))))
    | is_a_theorem(equivalent(X_54,X_55)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_55,equivalent(X_48,equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,X_48),X_49)))),X_54),equivalent(X_52,equivalent(equivalent(X_53,X_51),equivalent(equivalent(X_51,X_52),X_53)))),equivalent(X_54,X_55))) )],[refute_0_68,refute_0_65]) ).

cnf(refute_0_70,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_324,equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318)))),equivalent(equivalent(equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_324)),equivalent(X_321,equivalent(equivalent(X_322,X_320),equivalent(equivalent(X_320,X_321),X_322)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_324),X_324)) ),
    inference(subst,[],[refute_0_69:[bind(X_48,$fot(X_317)),bind(X_49,$fot(X_318)),bind(X_50,$fot(X_319)),bind(X_51,$fot(X_320)),bind(X_52,$fot(X_321)),bind(X_53,$fot(X_322)),bind(X_54,$fot(equivalent(equivalent(equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_324))),bind(X_55,$fot(X_324))]]) ).

cnf(refute_0_71,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_324),X_324)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_324,equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318)))),equivalent(equivalent(equivalent(X_317,equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,X_317),X_318))),equivalent(X_67,equivalent(equivalent(X_68,X_64),equivalent(equivalent(X_64,X_67),X_68)))),X_324)),equivalent(X_321,equivalent(equivalent(X_322,X_320),equivalent(equivalent(X_320,X_321),X_322))))) )],[refute_0_64,refute_0_70]) ).

cnf(refute_0_72,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_332),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),X_335),X_335)),
    inference(subst,[],[refute_0_71:[bind(X_317,$fot(X_332)),bind(X_318,$fot(X_333)),bind(X_319,$fot(X_334)),bind(X_324,$fot(X_335)),bind(X_64,$fot(X_336)),bind(X_67,$fot(X_337)),bind(X_68,$fot(X_338))]]) ).

cnf(refute_0_73,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_332),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),X_335))
    | is_a_theorem(X_335) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_332,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_332),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),X_335),X_335)) )],[refute_0_72,refute_0_60]) ).

cnf(refute_0_74,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235))),equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240)))),equivalent(equivalent(equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240))),equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240))),equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235))))) ),
    inference(subst,[],[refute_0_73:[bind(X_332,$fot(X_2234)),bind(X_333,$fot(X_2235)),bind(X_334,$fot(X_2236)),bind(X_335,$fot(equivalent(equivalent(equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240))),equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235)))))),bind(X_336,$fot(X_2238)),bind(X_337,$fot(X_2239)),bind(X_338,$fot(X_2240))]]) ).

cnf(refute_0_75,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240))),equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235))),equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240)))),equivalent(equivalent(equivalent(X_2239,equivalent(equivalent(X_2240,X_2238),equivalent(equivalent(X_2238,X_2239),X_2240))),equivalent(equivalent(equivalent(X_164,X_163),equivalent(equivalent(X_163,equivalent(X_165,equivalent(X_160,equivalent(equivalent(X_161,X_162),equivalent(equivalent(X_162,X_160),X_161))))),X_164)),X_165)),equivalent(X_2234,equivalent(equivalent(X_2235,X_2236),equivalent(equivalent(X_2236,X_2234),X_2235)))))) )],[refute_0_59,refute_0_74]) ).

cnf(refute_0_76,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2808,equivalent(equivalent(X_2814,X_2812),equivalent(equivalent(X_2812,X_2808),X_2814))),equivalent(equivalent(equivalent(equivalent(X_2814,X_2812),equivalent(equivalent(X_2812,X_2808),X_2814)),equivalent(equivalent(equivalent(equivalent(X_2812,X_2808),X_2814),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(X_2814,X_2812))),X_2808)),equivalent(X_2809,equivalent(equivalent(X_2810,X_2811),equivalent(equivalent(X_2811,X_2809),X_2810))))),
    inference(subst,[],[refute_0_75:[bind(X_160,$fot(X_2803)),bind(X_161,$fot(X_2804)),bind(X_162,$fot(X_2805)),bind(X_163,$fot(equivalent(equivalent(X_2812,X_2808),X_2814))),bind(X_164,$fot(equivalent(X_2814,X_2812))),bind(X_165,$fot(X_2808)),bind(X_2234,$fot(X_2809)),bind(X_2235,$fot(X_2810)),bind(X_2236,$fot(X_2811)),bind(X_2238,$fot(X_2812)),bind(X_2239,$fot(X_2808)),bind(X_2240,$fot(X_2814))]]) ).

cnf(refute_0_77,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_2812,X_2808),X_2814),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(X_2814,X_2812))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_2808,equivalent(equivalent(X_2814,X_2812),equivalent(equivalent(X_2812,X_2808),X_2814))),equivalent(equivalent(equivalent(equivalent(X_2814,X_2812),equivalent(equivalent(X_2812,X_2808),X_2814)),equivalent(equivalent(equivalent(equivalent(X_2812,X_2808),X_2814),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(X_2814,X_2812))),X_2808)),equivalent(X_2809,equivalent(equivalent(X_2810,X_2811),equivalent(equivalent(X_2811,X_2809),X_2810))))) )],[refute_0_76,refute_0_50]) ).

cnf(refute_0_78,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287)),X_2808),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283),equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287))))),
    inference(subst,[],[refute_0_77:[bind(X_2812,$fot(equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287)))),bind(X_2814,$fot(equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)))]]) ).

cnf(refute_0_79,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_211,equivalent(equivalent(equivalent(equivalent(X_212,X_213),equivalent(equivalent(X_213,X_215),X_212)),equivalent(X_216,equivalent(equivalent(X_217,X_214),equivalent(equivalent(X_214,X_216),X_217)))),X_215)),X_210),equivalent(X_218,equivalent(equivalent(X_219,X_209),equivalent(equivalent(X_209,X_218),X_219)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_211,equivalent(equivalent(equivalent(equivalent(X_212,X_213),equivalent(equivalent(X_213,X_215),X_212)),equivalent(X_216,equivalent(equivalent(X_217,X_214),equivalent(equivalent(X_214,X_216),X_217)))),X_215)),X_210),equivalent(X_218,equivalent(equivalent(X_219,X_209),equivalent(equivalent(X_209,X_218),X_219)))),equivalent(X_210,X_211)))
    | is_a_theorem(equivalent(X_210,X_211)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_211,equivalent(equivalent(equivalent(equivalent(X_212,X_213),equivalent(equivalent(X_213,X_215),X_212)),equivalent(X_216,equivalent(equivalent(X_217,X_214),equivalent(equivalent(X_214,X_216),X_217)))),X_215)),X_210),equivalent(X_218,equivalent(equivalent(X_219,X_209),equivalent(equivalent(X_209,X_218),X_219)))))),bind(Y,$fot(equivalent(X_210,X_211)))]]) ).

cnf(refute_0_80,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_32,equivalent(equivalent(equivalent(equivalent(X_33,X_34),equivalent(equivalent(X_34,X_36),X_33)),equivalent(X_37,equivalent(equivalent(X_38,X_35),equivalent(equivalent(X_35,X_37),X_38)))),X_36)),X_31)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_32,equivalent(equivalent(equivalent(equivalent(X_33,X_34),equivalent(equivalent(X_34,X_36),X_33)),equivalent(X_37,equivalent(equivalent(X_38,X_35),equivalent(equivalent(X_35,X_37),X_38)))),X_36)),X_31),equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),equivalent(X_31,X_32))) ),
    inference(subst,[],[refute_0_10:[bind(X_11,$fot(equivalent(X_31,X_32))),bind(X_12,$fot(equivalent(equivalent(X_32,equivalent(equivalent(equivalent(equivalent(X_33,X_34),equivalent(equivalent(X_34,X_36),X_33)),equivalent(X_37,equivalent(equivalent(X_38,X_35),equivalent(equivalent(X_35,X_37),X_38)))),X_36)),X_31)))]]) ).

cnf(refute_0_81,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))),X_28))
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))),X_28)),Y))) ),
    inference(subst,[],[refute_0_6:[bind(X_3,$fot(equivalent(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))),X_28)))]]) ).

cnf(refute_0_82,plain,
    is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))),X_28)),Y))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_25,X_26),equivalent(equivalent(X_26,X_28),X_25)),equivalent(X_29,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,X_29),X_30)))),X_28)) )],[refute_0_13,refute_0_81]) ).

cnf(refute_0_83,plain,
    is_a_theorem(equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_32,equivalent(equivalent(equivalent(equivalent(X_33,X_34),equivalent(equivalent(X_34,X_36),X_33)),equivalent(X_37,equivalent(equivalent(X_38,X_35),equivalent(equivalent(X_35,X_37),X_38)))),X_36)),X_31))),
    inference(subst,[],[refute_0_82:[bind(Y,$fot(X_31)),bind(Z,$fot(X_32)),bind(X_25,$fot(X_33)),bind(X_26,$fot(X_34)),bind(X_27,$fot(X_35)),bind(X_28,$fot(X_36)),bind(X_29,$fot(X_37)),bind(X_30,$fot(X_38))]]) ).

cnf(refute_0_84,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_32,equivalent(equivalent(equivalent(equivalent(X_33,X_34),equivalent(equivalent(X_34,X_36),X_33)),equivalent(X_37,equivalent(equivalent(X_38,X_35),equivalent(equivalent(X_35,X_37),X_38)))),X_36)),X_31),equivalent(X_8,equivalent(equivalent(X_9,X_10),equivalent(equivalent(X_10,X_8),X_9)))),equivalent(X_31,X_32))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_31,X_32),equivalent(equivalent(X_32,equivalent(equivalent(equivalent(equivalent(X_33,X_34),equivalent(equivalent(X_34,X_36),X_33)),equivalent(X_37,equivalent(equivalent(X_38,X_35),equivalent(equivalent(X_35,X_37),X_38)))),X_36)),X_31))) )],[refute_0_83,refute_0_80]) ).

cnf(refute_0_85,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_211,equivalent(equivalent(equivalent(equivalent(X_212,X_213),equivalent(equivalent(X_213,X_215),X_212)),equivalent(X_216,equivalent(equivalent(X_217,X_214),equivalent(equivalent(X_214,X_216),X_217)))),X_215)),X_210),equivalent(X_218,equivalent(equivalent(X_219,X_209),equivalent(equivalent(X_209,X_218),X_219)))),equivalent(X_210,X_211))),
    inference(subst,[],[refute_0_84:[bind(X_10,$fot(X_209)),bind(X_31,$fot(X_210)),bind(X_32,$fot(X_211)),bind(X_33,$fot(X_212)),bind(X_34,$fot(X_213)),bind(X_35,$fot(X_214)),bind(X_36,$fot(X_215)),bind(X_37,$fot(X_216)),bind(X_38,$fot(X_217)),bind(X_8,$fot(X_218)),bind(X_9,$fot(X_219))]]) ).

cnf(refute_0_86,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_211,equivalent(equivalent(equivalent(equivalent(X_212,X_213),equivalent(equivalent(X_213,X_215),X_212)),equivalent(X_216,equivalent(equivalent(X_217,X_214),equivalent(equivalent(X_214,X_216),X_217)))),X_215)),X_210),equivalent(X_218,equivalent(equivalent(X_219,X_209),equivalent(equivalent(X_209,X_218),X_219)))))
    | is_a_theorem(equivalent(X_210,X_211)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_211,equivalent(equivalent(equivalent(equivalent(X_212,X_213),equivalent(equivalent(X_213,X_215),X_212)),equivalent(X_216,equivalent(equivalent(X_217,X_214),equivalent(equivalent(X_214,X_216),X_217)))),X_215)),X_210),equivalent(X_218,equivalent(equivalent(X_219,X_209),equivalent(equivalent(X_209,X_218),X_219)))),equivalent(X_210,X_211))) )],[refute_0_85,refute_0_79]) ).

cnf(refute_0_87,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287)),X_2808),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283),equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287)))))
    | is_a_theorem(equivalent(equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804)))),equivalent(equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287)),X_2808))) ),
    inference(subst,[],[refute_0_86:[bind(X_209,$fot(X_3277)),bind(X_210,$fot(equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804)))))),bind(X_211,$fot(equivalent(equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287)),X_2808))),bind(X_212,$fot(X_3280)),bind(X_213,$fot(X_3281)),bind(X_214,$fot(X_3282)),bind(X_215,$fot(X_3283)),bind(X_216,$fot(X_3284)),bind(X_217,$fot(X_3285)),bind(X_218,$fot(equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283))),bind(X_219,$fot(X_3287))]]) ).

cnf(refute_0_88,plain,
    is_a_theorem(equivalent(equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804)))),equivalent(equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287)),X_2808))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287)),X_2808),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),equivalent(X_2808,equivalent(X_2803,equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,X_2803),X_2804))))),equivalent(equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283),equivalent(equivalent(X_3287,X_3277),equivalent(equivalent(X_3277,equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3283),X_3280)),equivalent(X_3284,equivalent(equivalent(X_3285,X_3282),equivalent(equivalent(X_3282,X_3284),X_3285)))),X_3283)),X_3287))))) )],[refute_0_78,refute_0_87]) ).

cnf(refute_0_89,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))),equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))))),equivalent(equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)),equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))))),equivalent(equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353)),equivalent(equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))),equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))))))),
    inference(subst,[],[refute_0_88:[bind(X_2803,$fot(equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),bind(X_2804,$fot(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))),bind(X_2805,$fot(X_3353)),bind(X_2808,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))),equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))))))),bind(X_3277,$fot(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))))),bind(X_3280,$fot(X_3348)),bind(X_3281,$fot(X_3349)),bind(X_3282,$fot(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))))),bind(X_3283,$fot(X_3351)),bind(X_3284,$fot(X_3353)),bind(X_3285,$fot(X_3353)),bind(X_3287,$fot(X_3353))]]) ).

cnf(refute_0_90,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))),equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))))),equivalent(equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)),equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))))),equivalent(equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353)),equivalent(equivalent(equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)),X_3353),equivalent(equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353))),equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),equivalent(equivalent(equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)),equivalent(X_3353,equivalent(equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))),equivalent(equivalent(equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348))),X_3353),X_3353)))),X_3351)))),equivalent(X_3353,equivalent(X_3351,equivalent(equivalent(X_3348,X_3349),equivalent(equivalent(X_3349,X_3351),X_3348)))))))) )],[refute_0_89,refute_0_49]) ).

cnf(refute_0_91,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3357,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3357),X_3355))),X_3358),X_3358)),
    inference(subst,[],[refute_0_90:[bind(X_3348,$fot(X_3355)),bind(X_3349,$fot(X_3356)),bind(X_3351,$fot(X_3357)),bind(X_3353,$fot(X_3358))]]) ).

cnf(refute_0_92,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3357,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3357),X_3355))),X_3358))
    | is_a_theorem(X_3358) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3357,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3357),X_3355))),X_3358),X_3358)) )],[refute_0_91,refute_0_48]) ).

cnf(refute_0_93,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3811,X_3811),equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355))),equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355))))
    | is_a_theorem(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355))) ),
    inference(subst,[],[refute_0_92:[bind(X_3357,$fot(equivalent(X_3811,X_3811))),bind(X_3358,$fot(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355))))]]) ).

cnf(refute_0_94,plain,
    ( ~ is_a_theorem(equivalent(X_2823,equivalent(equivalent(X_2824,X_2821),equivalent(equivalent(X_2821,equivalent(X_2822,X_2823)),X_2824))))
    | ~ is_a_theorem(equivalent(equivalent(X_2823,equivalent(equivalent(X_2824,X_2821),equivalent(equivalent(X_2821,equivalent(X_2822,X_2823)),X_2824))),X_2822))
    | is_a_theorem(X_2822) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_2823,equivalent(equivalent(X_2824,X_2821),equivalent(equivalent(X_2821,equivalent(X_2822,X_2823)),X_2824))))),bind(Y,$fot(X_2822))]]) ).

cnf(refute_0_95,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816))),equivalent(X_2816,X_2817)),equivalent(equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816)),equivalent(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816))))),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)))))
    | is_a_theorem(equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816)) ),
    inference(subst,[],[refute_0_14:[bind(X_25,$fot(equivalent(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816))))),bind(X_26,$fot(equivalent(X_2816,X_2817))),bind(X_28,$fot(equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816))),bind(X_29,$fot(equivalent(X_2816,X_2817)))]]) ).

cnf(refute_0_96,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816))),equivalent(X_2816,X_2817)),equivalent(equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816)),equivalent(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816))))),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))))),
    inference(subst,[],[refute_0_77:[bind(X_2803,$fot(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)))),bind(X_2804,$fot(X_2816)),bind(X_2805,$fot(X_2817)),bind(X_2808,$fot(equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816)))),bind(X_2812,$fot(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)))),bind(X_2814,$fot(equivalent(X_2816,X_2817)))]]) ).

cnf(refute_0_97,plain,
    is_a_theorem(equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816))),equivalent(X_2816,X_2817)),equivalent(equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816)),equivalent(equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30)),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_2817,equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))),X_2816))))),equivalent(equivalent(X_2816,X_2817),equivalent(equivalent(X_30,X_27),equivalent(equivalent(X_27,equivalent(X_2816,X_2817)),X_30))))) )],[refute_0_96,refute_0_95]) ).

cnf(refute_0_98,plain,
    is_a_theorem(equivalent(equivalent(X_2823,equivalent(equivalent(X_2824,X_2821),equivalent(equivalent(X_2821,equivalent(X_2822,X_2823)),X_2824))),X_2822)),
    inference(subst,[],[refute_0_97:[bind(X_27,$fot(X_2821)),bind(X_2816,$fot(X_2822)),bind(X_2817,$fot(X_2823)),bind(X_30,$fot(X_2824))]]) ).

cnf(refute_0_99,plain,
    ( ~ is_a_theorem(equivalent(X_2823,equivalent(equivalent(X_2824,X_2821),equivalent(equivalent(X_2821,equivalent(X_2822,X_2823)),X_2824))))
    | is_a_theorem(X_2822) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_2823,equivalent(equivalent(X_2824,X_2821),equivalent(equivalent(X_2821,equivalent(X_2822,X_2823)),X_2824))),X_2822)) )],[refute_0_98,refute_0_94]) ).

cnf(refute_0_100,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3802,X_3803),equivalent(equivalent(X_3803,X_3803),X_3802)),equivalent(equivalent(equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801))),X_3803),equivalent(equivalent(X_3803,equivalent(equivalent(equivalent(equivalent(X_3803,X_3803),X_3802),X_3802),equivalent(equivalent(X_3802,X_3803),equivalent(equivalent(X_3803,X_3803),X_3802)))),equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3803,X_3803),X_3802),X_3802)) ),
    inference(subst,[],[refute_0_99:[bind(X_2821,$fot(X_3803)),bind(X_2822,$fot(equivalent(equivalent(equivalent(X_3803,X_3803),X_3802),X_3802))),bind(X_2823,$fot(equivalent(equivalent(X_3802,X_3803),equivalent(equivalent(X_3803,X_3803),X_3802)))),bind(X_2824,$fot(equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801)))))]]) ).

cnf(refute_0_101,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_2485,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),equivalent(equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333)),equivalent(equivalent(equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338))),X_2485),equivalent(equivalent(X_2491,equivalent(equivalent(X_2492,X_2490),equivalent(equivalent(X_2490,X_2491),X_2492))),equivalent(X_2488,equivalent(equivalent(X_2489,X_2487),equivalent(equivalent(X_2487,X_2488),X_2489))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333)),equivalent(equivalent(equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338))),X_2485),equivalent(equivalent(X_2491,equivalent(equivalent(X_2492,X_2490),equivalent(equivalent(X_2490,X_2491),X_2492))),equivalent(X_2488,equivalent(equivalent(X_2489,X_2487),equivalent(equivalent(X_2487,X_2488),X_2489))))))) ),
    inference(subst,[],[refute_0_73:[bind(X_332,$fot(X_2485)),bind(X_335,$fot(equivalent(equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333)),equivalent(equivalent(equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338))),X_2485),equivalent(equivalent(X_2491,equivalent(equivalent(X_2492,X_2490),equivalent(equivalent(X_2490,X_2491),X_2492))),equivalent(X_2488,equivalent(equivalent(X_2489,X_2487),equivalent(equivalent(X_2487,X_2488),X_2489))))))))]]) ).

cnf(refute_0_102,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_2472),X_1688)),equivalent(equivalent(equivalent(equivalent(X_1686,X_2472),X_1688),equivalent(X_2472,equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_2469,equivalent(equivalent(X_2470,X_2468),equivalent(equivalent(X_2468,X_2469),X_2470))),equivalent(X_2466,equivalent(equivalent(X_2467,X_2465),equivalent(equivalent(X_2465,X_2466),X_2467))))))),equivalent(X_1688,X_1686))),X_2472)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_2472),X_1688),equivalent(X_2472,equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_2469,equivalent(equivalent(X_2470,X_2468),equivalent(equivalent(X_2468,X_2469),X_2470))),equivalent(X_2466,equivalent(equivalent(X_2467,X_2465),equivalent(equivalent(X_2465,X_2466),X_2467)))))))) ),
    inference(subst,[],[refute_0_42:[bind(X_1687,$fot(X_2472)),bind(X_1689,$fot(equivalent(X_1688,X_1686))),bind(X_1690,$fot(equivalent(equivalent(equivalent(X_1686,X_2472),X_1688),equivalent(X_2472,equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_2469,equivalent(equivalent(X_2470,X_2468),equivalent(equivalent(X_2468,X_2469),X_2470))),equivalent(X_2466,equivalent(equivalent(X_2467,X_2465),equivalent(equivalent(X_2465,X_2466),X_2467)))))))))]]) ).

cnf(refute_0_103,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492)))))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)))),X_488),equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492)))))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)))))))
    | is_a_theorem(equivalent(X_488,equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51))) ),
    inference(subst,[],[refute_0_69:[bind(X_48,$fot(equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492)))))))),bind(X_52,$fot(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),bind(X_53,$fot(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)))),bind(X_54,$fot(X_488)),bind(X_55,$fot(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51)))]]) ).

cnf(refute_0_104,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492)))))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)))),X_488),equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492)))))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49))))))),
    inference(subst,[],[refute_0_36:[bind(X_477,$fot(X_488)),bind(X_479,$fot(equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492)))))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)))))),bind(X_481,$fot(X_490)),bind(X_484,$fot(X_491)),bind(X_485,$fot(X_492)),bind(X_82,$fot(X_493)),bind(X_85,$fot(X_494)),bind(X_86,$fot(X_495))]]) ).

cnf(refute_0_105,plain,
    is_a_theorem(equivalent(X_488,equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492)))))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)))),X_488),equivalent(equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))),equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492)))))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_488,equivalent(equivalent(X_494,equivalent(equivalent(X_495,X_493),equivalent(equivalent(X_493,X_494),X_495))),equivalent(X_491,equivalent(equivalent(X_492,X_490),equivalent(equivalent(X_490,X_491),X_492))))))),X_49))))))) )],[refute_0_104,refute_0_103]) ).

cnf(refute_0_106,plain,
    is_a_theorem(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_2472),X_1688)),equivalent(equivalent(equivalent(equivalent(X_1686,X_2472),X_1688),equivalent(X_2472,equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_2469,equivalent(equivalent(X_2470,X_2468),equivalent(equivalent(X_2468,X_2469),X_2470))),equivalent(X_2466,equivalent(equivalent(X_2467,X_2465),equivalent(equivalent(X_2465,X_2466),X_2467))))))),equivalent(X_1688,X_1686))),X_2472))),
    inference(subst,[],[refute_0_105:[bind(X_488,$fot(equivalent(X_1688,X_1686))),bind(X_49,$fot(equivalent(X_1688,X_1686))),bind(X_490,$fot(X_2465)),bind(X_491,$fot(X_2466)),bind(X_492,$fot(X_2467)),bind(X_493,$fot(X_2468)),bind(X_494,$fot(X_2469)),bind(X_495,$fot(X_2470)),bind(X_50,$fot(equivalent(equivalent(X_1686,X_2472),X_1688))),bind(X_51,$fot(X_2472))]]) ).

cnf(refute_0_107,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_2472),X_1688),equivalent(X_2472,equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_2469,equivalent(equivalent(X_2470,X_2468),equivalent(equivalent(X_2468,X_2469),X_2470))),equivalent(X_2466,equivalent(equivalent(X_2467,X_2465),equivalent(equivalent(X_2465,X_2466),X_2467)))))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_2472),X_1688)),equivalent(equivalent(equivalent(equivalent(X_1686,X_2472),X_1688),equivalent(X_2472,equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_2469,equivalent(equivalent(X_2470,X_2468),equivalent(equivalent(X_2468,X_2469),X_2470))),equivalent(X_2466,equivalent(equivalent(X_2467,X_2465),equivalent(equivalent(X_2465,X_2466),X_2467))))))),equivalent(X_1688,X_1686))),X_2472))) )],[refute_0_106,refute_0_102]) ).

cnf(refute_0_108,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_2485,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),equivalent(equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333)),equivalent(equivalent(equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338))),X_2485),equivalent(equivalent(X_2491,equivalent(equivalent(X_2492,X_2490),equivalent(equivalent(X_2490,X_2491),X_2492))),equivalent(X_2488,equivalent(equivalent(X_2489,X_2487),equivalent(equivalent(X_2487,X_2488),X_2489)))))))),
    inference(subst,[],[refute_0_107:[bind(X_1686,$fot(X_2485)),bind(X_1688,$fot(equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338))))),bind(X_2465,$fot(X_2487)),bind(X_2466,$fot(X_2488)),bind(X_2467,$fot(X_2489)),bind(X_2468,$fot(X_2490)),bind(X_2469,$fot(X_2491)),bind(X_2470,$fot(X_2492)),bind(X_2472,$fot(equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333))))]]) ).

cnf(refute_0_109,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333)),equivalent(equivalent(equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338))),X_2485),equivalent(equivalent(X_2491,equivalent(equivalent(X_2492,X_2490),equivalent(equivalent(X_2490,X_2491),X_2492))),equivalent(X_2488,equivalent(equivalent(X_2489,X_2487),equivalent(equivalent(X_2487,X_2488),X_2489))))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_2485,equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333))),equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338)))),equivalent(equivalent(equivalent(X_333,X_334),equivalent(equivalent(X_334,X_2485),X_333)),equivalent(equivalent(equivalent(X_337,equivalent(equivalent(X_338,X_336),equivalent(equivalent(X_336,X_337),X_338))),X_2485),equivalent(equivalent(X_2491,equivalent(equivalent(X_2492,X_2490),equivalent(equivalent(X_2490,X_2491),X_2492))),equivalent(X_2488,equivalent(equivalent(X_2489,X_2487),equivalent(equivalent(X_2487,X_2488),X_2489)))))))) )],[refute_0_108,refute_0_101]) ).

cnf(refute_0_110,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3802,X_3803),equivalent(equivalent(X_3803,X_3803),X_3802)),equivalent(equivalent(equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801))),X_3803),equivalent(equivalent(X_3803,equivalent(equivalent(equivalent(equivalent(X_3803,X_3803),X_3802),X_3802),equivalent(equivalent(X_3802,X_3803),equivalent(equivalent(X_3803,X_3803),X_3802)))),equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801))))))),
    inference(subst,[],[refute_0_109:[bind(X_2485,$fot(X_3803)),bind(X_2487,$fot(X_3799)),bind(X_2488,$fot(X_3800)),bind(X_2489,$fot(X_3801)),bind(X_2490,$fot(X_3802)),bind(X_2491,$fot(X_3803)),bind(X_2492,$fot(equivalent(equivalent(X_3803,X_3803),X_3802))),bind(X_333,$fot(X_3802)),bind(X_334,$fot(X_3803)),bind(X_336,$fot(X_3799)),bind(X_337,$fot(X_3800)),bind(X_338,$fot(X_3801))]]) ).

cnf(refute_0_111,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3803,X_3803),X_3802),X_3802)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3802,X_3803),equivalent(equivalent(X_3803,X_3803),X_3802)),equivalent(equivalent(equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801))),X_3803),equivalent(equivalent(X_3803,equivalent(equivalent(equivalent(equivalent(X_3803,X_3803),X_3802),X_3802),equivalent(equivalent(X_3802,X_3803),equivalent(equivalent(X_3803,X_3803),X_3802)))),equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801))))))) )],[refute_0_110,refute_0_100]) ).

cnf(refute_0_112,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3811,X_3811),equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355))),equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355)))),
    inference(subst,[],[refute_0_111:[bind(X_3802,$fot(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355)))),bind(X_3803,$fot(X_3811))]]) ).

cnf(refute_0_113,plain,
    is_a_theorem(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3811,X_3811),equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355))),equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,equivalent(X_3811,X_3811)),X_3355)))) )],[refute_0_112,refute_0_93]) ).

cnf(refute_0_114,plain,
    is_a_theorem(equivalent(equivalent(X_3816,X_3816),equivalent(equivalent(X_3816,equivalent(X_3811,X_3811)),X_3816))),
    inference(subst,[],[refute_0_113:[bind(X_3355,$fot(X_3816)),bind(X_3356,$fot(X_3816))]]) ).

cnf(refute_0_115,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3811,X_3811),X_3810))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_3811,X_3811),X_3810),X_3810))
    | is_a_theorem(X_3810) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_3811,X_3811),X_3810))),bind(Y,$fot(X_3810))]]) ).

cnf(refute_0_116,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3811,X_3811),X_3810),X_3810)),
    inference(subst,[],[refute_0_111:[bind(X_3802,$fot(X_3810)),bind(X_3803,$fot(X_3811))]]) ).

cnf(refute_0_117,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3811,X_3811),X_3810))
    | is_a_theorem(X_3810) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3811,X_3811),X_3810),X_3810)) )],[refute_0_116,refute_0_115]) ).

cnf(refute_0_118,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3816,X_3816),equivalent(equivalent(X_3816,equivalent(X_3811,X_3811)),X_3816)))
    | is_a_theorem(equivalent(equivalent(X_3816,equivalent(X_3811,X_3811)),X_3816)) ),
    inference(subst,[],[refute_0_117:[bind(X_3810,$fot(equivalent(equivalent(X_3816,equivalent(X_3811,X_3811)),X_3816))),bind(X_3811,$fot(X_3816))]]) ).

cnf(refute_0_119,plain,
    is_a_theorem(equivalent(equivalent(X_3816,equivalent(X_3811,X_3811)),X_3816)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3816,X_3816),equivalent(equivalent(X_3816,equivalent(X_3811,X_3811)),X_3816))) )],[refute_0_114,refute_0_118]) ).

cnf(refute_0_120,plain,
    is_a_theorem(equivalent(equivalent(X_3819,equivalent(X_3818,X_3818)),X_3819)),
    inference(subst,[],[refute_0_119:[bind(X_3811,$fot(X_3818)),bind(X_3816,$fot(X_3819))]]) ).

cnf(refute_0_121,plain,
    ( ~ is_a_theorem(equivalent(X_3819,equivalent(X_3818,X_3818)))
    | is_a_theorem(X_3819) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3819,equivalent(X_3818,X_3818)),X_3819)) )],[refute_0_120,refute_0_47]) ).

cnf(refute_0_122,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3958,equivalent(equivalent(X_3818,X_3818),X_3958)),equivalent(X_3818,X_3818)))
    | is_a_theorem(equivalent(X_3958,equivalent(equivalent(X_3818,X_3818),X_3958))) ),
    inference(subst,[],[refute_0_121:[bind(X_3819,$fot(equivalent(X_3958,equivalent(equivalent(X_3818,X_3818),X_3958))))]]) ).

cnf(refute_0_123,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804))),equivalent(X_2804,X_2805)),equivalent(equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804)),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804))))),equivalent(equivalent(X_2804,X_2805),equivalent(X_2804,X_2805)))),
    inference(subst,[],[refute_0_77:[bind(X_2803,$fot(equivalent(X_2804,X_2805))),bind(X_2808,$fot(equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804)))),bind(X_2812,$fot(equivalent(X_2804,X_2805))),bind(X_2814,$fot(equivalent(X_2804,X_2805)))]]) ).

cnf(refute_0_124,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3868,X_3869),equivalent(equivalent(X_3869,X_3870),X_3868)),equivalent(X_3871,X_3871)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3868,X_3869),equivalent(equivalent(X_3869,X_3870),X_3868)),equivalent(X_3871,X_3871)),X_3870))
    | is_a_theorem(X_3870) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(equivalent(X_3868,X_3869),equivalent(equivalent(X_3869,X_3870),X_3868)),equivalent(X_3871,X_3871)))),bind(Y,$fot(X_3870))]]) ).

cnf(refute_0_125,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3812,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355))),equivalent(equivalent(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355)),equivalent(X_3814,X_3814)),X_3812)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355)),equivalent(X_3814,X_3814)),X_3812)) ),
    inference(subst,[],[refute_0_92:[bind(X_3357,$fot(X_3812)),bind(X_3358,$fot(equivalent(equivalent(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355)),equivalent(X_3814,X_3814)),X_3812)))]]) ).

cnf(refute_0_126,plain,
    is_a_theorem(equivalent(equivalent(X_3812,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355))),equivalent(equivalent(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355)),equivalent(X_3814,X_3814)),X_3812))),
    inference(subst,[],[refute_0_113:[bind(X_3355,$fot(X_3812)),bind(X_3356,$fot(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355)))),bind(X_3811,$fot(X_3814))]]) ).

cnf(refute_0_127,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355)),equivalent(X_3814,X_3814)),X_3812)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3812,equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355))),equivalent(equivalent(equivalent(equivalent(X_3355,X_3356),equivalent(equivalent(X_3356,X_3812),X_3355)),equivalent(X_3814,X_3814)),X_3812))) )],[refute_0_126,refute_0_125]) ).

cnf(refute_0_128,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3868,X_3869),equivalent(equivalent(X_3869,X_3870),X_3868)),equivalent(X_3871,X_3871)),X_3870)),
    inference(subst,[],[refute_0_127:[bind(X_3355,$fot(X_3868)),bind(X_3356,$fot(X_3869)),bind(X_3812,$fot(X_3870)),bind(X_3814,$fot(X_3871))]]) ).

cnf(refute_0_129,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3868,X_3869),equivalent(equivalent(X_3869,X_3870),X_3868)),equivalent(X_3871,X_3871)))
    | is_a_theorem(X_3870) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3868,X_3869),equivalent(equivalent(X_3869,X_3870),X_3868)),equivalent(X_3871,X_3871)),X_3870)) )],[refute_0_128,refute_0_124]) ).

cnf(refute_0_130,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804))),equivalent(X_2804,X_2805)),equivalent(equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804)),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804))))),equivalent(equivalent(X_2804,X_2805),equivalent(X_2804,X_2805))))
    | is_a_theorem(equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804)) ),
    inference(subst,[],[refute_0_129:[bind(X_3868,$fot(equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804))))),bind(X_3869,$fot(equivalent(X_2804,X_2805))),bind(X_3870,$fot(equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804))),bind(X_3871,$fot(equivalent(X_2804,X_2805)))]]) ).

cnf(refute_0_131,plain,
    is_a_theorem(equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804))),equivalent(X_2804,X_2805)),equivalent(equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804)),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2804,X_2805),equivalent(equivalent(X_2805,equivalent(X_2804,X_2805)),X_2804))))),equivalent(equivalent(X_2804,X_2805),equivalent(X_2804,X_2805)))) )],[refute_0_123,refute_0_130]) ).

cnf(refute_0_132,plain,
    is_a_theorem(equivalent(equivalent(X_3958,equivalent(equivalent(X_3818,X_3818),X_3958)),equivalent(X_3818,X_3818))),
    inference(subst,[],[refute_0_131:[bind(X_2804,$fot(equivalent(X_3818,X_3818))),bind(X_2805,$fot(X_3958))]]) ).

cnf(refute_0_133,plain,
    is_a_theorem(equivalent(X_3958,equivalent(equivalent(X_3818,X_3818),X_3958))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3958,equivalent(equivalent(X_3818,X_3818),X_3958)),equivalent(X_3818,X_3818))) )],[refute_0_132,refute_0_122]) ).

cnf(refute_0_134,plain,
    is_a_theorem(equivalent(X_3960,equivalent(equivalent(X_3959,X_3959),X_3960))),
    inference(subst,[],[refute_0_133:[bind(X_3818,$fot(X_3959)),bind(X_3958,$fot(X_3960))]]) ).

cnf(refute_0_135,plain,
    ( ~ is_a_theorem(X_3960)
    | is_a_theorem(equivalent(equivalent(X_3959,X_3959),X_3960)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_3960,equivalent(equivalent(X_3959,X_3959),X_3960))) )],[refute_0_134,refute_0_46]) ).

cnf(refute_0_136,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194))
    | is_a_theorem(equivalent(equivalent(X_3959,X_3959),equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194))) ),
    inference(subst,[],[refute_0_135:[bind(X_3960,$fot(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)))]]) ).

cnf(refute_0_137,plain,
    ( ~ is_a_theorem(equivalent(X_10190,equivalent(equivalent(equivalent(equivalent(X_10190,equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191))),equivalent(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190),X_10190)),equivalent(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190),X_10190)),X_10190)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190)) ),
    inference(subst,[],[refute_0_42:[bind(X_1686,$fot(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)))),bind(X_1687,$fot(X_10190)),bind(X_1688,$fot(X_10190)),bind(X_1689,$fot(X_10190)),bind(X_1690,$fot(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190)))]]) ).

cnf(refute_0_138,plain,
    ( ~ is_a_theorem(equivalent(X_6268,equivalent(equivalent(X_6270,equivalent(X_6269,X_6269)),X_6270)))
    | ~ is_a_theorem(equivalent(equivalent(X_6268,equivalent(equivalent(X_6270,equivalent(X_6269,X_6269)),X_6270)),equivalent(X_6267,equivalent(X_6268,X_6267))))
    | is_a_theorem(equivalent(X_6267,equivalent(X_6268,X_6267))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_6268,equivalent(equivalent(X_6270,equivalent(X_6269,X_6269)),X_6270)))),bind(Y,$fot(equivalent(X_6267,equivalent(X_6268,X_6267))))]]) ).

cnf(refute_0_139,plain,
    is_a_theorem(equivalent(equivalent(X_2805,equivalent(X_4303,X_2805)),X_4303)),
    inference(subst,[],[refute_0_131:[bind(X_2804,$fot(X_4303))]]) ).

cnf(refute_0_140,plain,
    ( ~ is_a_theorem(equivalent(X_4116,X_4117))
    | ~ is_a_theorem(equivalent(equivalent(X_4116,X_4117),equivalent(equivalent(X_4117,equivalent(equivalent(X_4119,equivalent(X_4118,X_4118)),X_4119)),X_4116)))
    | is_a_theorem(equivalent(equivalent(X_4117,equivalent(equivalent(X_4119,equivalent(X_4118,X_4118)),X_4119)),X_4116)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_4116,X_4117))),bind(Y,$fot(equivalent(equivalent(X_4117,equivalent(equivalent(X_4119,equivalent(X_4118,X_4118)),X_4119)),X_4116)))]]) ).

cnf(refute_0_141,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3819,equivalent(X_3818,X_3818)),X_3819))
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(X_3819,equivalent(X_3818,X_3818)),X_3819)),Y))) ),
    inference(subst,[],[refute_0_6:[bind(X_3,$fot(equivalent(equivalent(X_3819,equivalent(X_3818,X_3818)),X_3819)))]]) ).

cnf(refute_0_142,plain,
    is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(X_3819,equivalent(X_3818,X_3818)),X_3819)),Y))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3819,equivalent(X_3818,X_3818)),X_3819)) )],[refute_0_120,refute_0_141]) ).

cnf(refute_0_143,plain,
    is_a_theorem(equivalent(equivalent(X_4116,X_4117),equivalent(equivalent(X_4117,equivalent(equivalent(X_4119,equivalent(X_4118,X_4118)),X_4119)),X_4116))),
    inference(subst,[],[refute_0_142:[bind(Y,$fot(X_4116)),bind(Z,$fot(X_4117)),bind(X_3818,$fot(X_4118)),bind(X_3819,$fot(X_4119))]]) ).

cnf(refute_0_144,plain,
    ( ~ is_a_theorem(equivalent(X_4116,X_4117))
    | is_a_theorem(equivalent(equivalent(X_4117,equivalent(equivalent(X_4119,equivalent(X_4118,X_4118)),X_4119)),X_4116)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_4116,X_4117),equivalent(equivalent(X_4117,equivalent(equivalent(X_4119,equivalent(X_4118,X_4118)),X_4119)),X_4116))) )],[refute_0_143,refute_0_140]) ).

cnf(refute_0_145,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_2805,equivalent(X_4303,X_2805)),X_4303))
    | is_a_theorem(equivalent(equivalent(X_4303,equivalent(equivalent(X_4305,equivalent(X_4304,X_4304)),X_4305)),equivalent(X_2805,equivalent(X_4303,X_2805)))) ),
    inference(subst,[],[refute_0_144:[bind(X_4116,$fot(equivalent(X_2805,equivalent(X_4303,X_2805)))),bind(X_4117,$fot(X_4303)),bind(X_4118,$fot(X_4304)),bind(X_4119,$fot(X_4305))]]) ).

cnf(refute_0_146,plain,
    is_a_theorem(equivalent(equivalent(X_4303,equivalent(equivalent(X_4305,equivalent(X_4304,X_4304)),X_4305)),equivalent(X_2805,equivalent(X_4303,X_2805)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_2805,equivalent(X_4303,X_2805)),X_4303)) )],[refute_0_139,refute_0_145]) ).

cnf(refute_0_147,plain,
    is_a_theorem(equivalent(equivalent(X_6268,equivalent(equivalent(X_6270,equivalent(X_6269,X_6269)),X_6270)),equivalent(X_6267,equivalent(X_6268,X_6267)))),
    inference(subst,[],[refute_0_146:[bind(X_2805,$fot(X_6267)),bind(X_4303,$fot(X_6268)),bind(X_4304,$fot(X_6269)),bind(X_4305,$fot(X_6270))]]) ).

cnf(refute_0_148,plain,
    ( ~ is_a_theorem(equivalent(X_6268,equivalent(equivalent(X_6270,equivalent(X_6269,X_6269)),X_6270)))
    | is_a_theorem(equivalent(X_6267,equivalent(X_6268,X_6267))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_6268,equivalent(equivalent(X_6270,equivalent(X_6269,X_6269)),X_6270)),equivalent(X_6267,equivalent(X_6268,X_6267)))) )],[refute_0_147,refute_0_138]) ).

cnf(refute_0_149,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182),equivalent(equivalent(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182),equivalent(X_10186,X_10186)),equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182))))
    | is_a_theorem(equivalent(X_6267,equivalent(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182),X_6267))) ),
    inference(subst,[],[refute_0_148:[bind(X_6268,$fot(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182))),bind(X_6269,$fot(X_10186)),bind(X_6270,$fot(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182)))]]) ).

cnf(refute_0_150,plain,
    ( ~ is_a_theorem(equivalent(X_3492,equivalent(X_3493,equivalent(equivalent(X_3493,equivalent(X_3491,X_3492)),equivalent(X_3488,equivalent(equivalent(X_3489,X_3490),equivalent(equivalent(X_3490,X_3488),X_3489)))))))
    | ~ is_a_theorem(equivalent(equivalent(X_3492,equivalent(X_3493,equivalent(equivalent(X_3493,equivalent(X_3491,X_3492)),equivalent(X_3488,equivalent(equivalent(X_3489,X_3490),equivalent(equivalent(X_3490,X_3488),X_3489)))))),X_3491))
    | is_a_theorem(X_3491) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3492,equivalent(X_3493,equivalent(equivalent(X_3493,equivalent(X_3491,X_3492)),equivalent(X_3488,equivalent(equivalent(X_3489,X_3490),equivalent(equivalent(X_3490,X_3488),X_3489)))))))),bind(Y,$fot(X_3491))]]) ).

cnf(refute_0_151,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(equivalent(equivalent(X_3484,X_3485),equivalent(equivalent(X_3485,equivalent(X_3486,equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(X_3481,equivalent(equivalent(X_3482,X_3483),equivalent(equivalent(X_3483,X_3481),X_3482)))))),X_3484)),X_3486)),equivalent(X_3480,equivalent(equivalent(X_3478,X_3479),equivalent(equivalent(X_3479,X_3480),X_3478)))))
    | is_a_theorem(equivalent(equivalent(X_3485,equivalent(X_3486,equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(X_3481,equivalent(equivalent(X_3482,X_3483),equivalent(equivalent(X_3483,X_3481),X_3482)))))),X_3484)) ),
    inference(subst,[],[refute_0_14:[bind(X_25,$fot(X_3486)),bind(X_26,$fot(equivalent(X_3484,X_3485))),bind(X_27,$fot(X_3479)),bind(X_28,$fot(equivalent(equivalent(X_3485,equivalent(X_3486,equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(X_3481,equivalent(equivalent(X_3482,X_3483),equivalent(equivalent(X_3483,X_3481),X_3482)))))),X_3484))),bind(X_29,$fot(X_3480)),bind(X_30,$fot(X_3478))]]) ).

cnf(refute_0_152,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394)))
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))),Y))) ),
    inference(subst,[],[refute_0_6:[bind(X_3,$fot(equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))))]]) ).

cnf(refute_0_153,plain,
    ( ~ is_a_theorem(equivalent(X_331,equivalent(equivalent(equivalent(X_328,X_329),equivalent(equivalent(X_329,equivalent(X_330,equivalent(X_331,equivalent(X_325,equivalent(equivalent(X_326,X_327),equivalent(equivalent(X_327,X_325),X_326)))))),X_328)),X_330)))
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_331,equivalent(equivalent(equivalent(X_328,X_329),equivalent(equivalent(X_329,equivalent(X_330,equivalent(X_331,equivalent(X_325,equivalent(equivalent(X_326,X_327),equivalent(equivalent(X_327,X_325),X_326)))))),X_328)),X_330))),Y))) ),
    inference(subst,[],[refute_0_6:[bind(X_3,$fot(equivalent(X_331,equivalent(equivalent(equivalent(X_328,X_329),equivalent(equivalent(X_329,equivalent(X_330,equivalent(X_331,equivalent(X_325,equivalent(equivalent(X_326,X_327),equivalent(equivalent(X_327,X_325),X_326)))))),X_328)),X_330))))]]) ).

cnf(refute_0_154,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320),equivalent(equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))),equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)))),X_323),equivalent(equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),equivalent(equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320),equivalent(equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))),equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318))))))),
    inference(subst,[],[refute_0_8:[bind(X_5,$fot(equivalent(equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320),equivalent(equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))),equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)))))),bind(X_6,$fot(X_323))]]) ).

cnf(refute_0_155,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320),equivalent(equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))),equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)))),X_323),equivalent(equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),equivalent(equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320),equivalent(equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))),equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)))))))
    | is_a_theorem(equivalent(X_323,equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320))) ),
    inference(subst,[],[refute_0_69:[bind(X_48,$fot(equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))))),bind(X_49,$fot(X_318)),bind(X_50,$fot(X_319)),bind(X_51,$fot(X_320)),bind(X_52,$fot(equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),bind(X_53,$fot(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)))),bind(X_54,$fot(X_323)),bind(X_55,$fot(equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320)))]]) ).

cnf(refute_0_156,plain,
    is_a_theorem(equivalent(X_323,equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320),equivalent(equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))),equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)))),X_323),equivalent(equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))),equivalent(equivalent(equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318)),X_320),equivalent(equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y))))),equivalent(equivalent(X_318,X_319),equivalent(equivalent(X_319,equivalent(X_320,equivalent(X_323,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,X),Y)))))),X_318))))))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    is_a_theorem(equivalent(X_331,equivalent(equivalent(equivalent(X_328,X_329),equivalent(equivalent(X_329,equivalent(X_330,equivalent(X_331,equivalent(X_325,equivalent(equivalent(X_326,X_327),equivalent(equivalent(X_327,X_325),X_326)))))),X_328)),X_330))),
    inference(subst,[],[refute_0_156:[bind(X,$fot(X_325)),bind(Y,$fot(X_326)),bind(Z,$fot(X_327)),bind(X_318,$fot(X_328)),bind(X_319,$fot(X_329)),bind(X_320,$fot(X_330)),bind(X_323,$fot(X_331))]]) ).

cnf(refute_0_158,plain,
    is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_331,equivalent(equivalent(equivalent(X_328,X_329),equivalent(equivalent(X_329,equivalent(X_330,equivalent(X_331,equivalent(X_325,equivalent(equivalent(X_326,X_327),equivalent(equivalent(X_327,X_325),X_326)))))),X_328)),X_330))),Y))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_331,equivalent(equivalent(equivalent(X_328,X_329),equivalent(equivalent(X_329,equivalent(X_330,equivalent(X_331,equivalent(X_325,equivalent(equivalent(X_326,X_327),equivalent(equivalent(X_327,X_325),X_326)))))),X_328)),X_330))) )],[refute_0_157,refute_0_153]) ).

cnf(refute_0_159,plain,
    is_a_theorem(equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))),
    inference(subst,[],[refute_0_158:[bind(Y,$fot(X_394)),bind(Z,$fot(X_395)),bind(X_325,$fot(X_396)),bind(X_326,$fot(X_397)),bind(X_327,$fot(X_398)),bind(X_328,$fot(X_399)),bind(X_329,$fot(X_400)),bind(X_330,$fot(X_401)),bind(X_331,$fot(X_402))]]) ).

cnf(refute_0_160,plain,
    is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))),Y))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))) )],[refute_0_159,refute_0_152]) ).

cnf(refute_0_161,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280)),equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394)))),X_3287)),equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),equivalent(equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))),equivalent(equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280)),equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394)))),X_3287))))),
    inference(subst,[],[refute_0_160:[bind(Y,$fot(equivalent(equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280)),equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394)))),X_3287)))),bind(Z,$fot(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))))]]) ).

cnf(refute_0_162,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280)),equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394)))),X_3287)),equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),equivalent(equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))),equivalent(equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280)),equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394)))),X_3287)))))
    | is_a_theorem(equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))))) ),
    inference(subst,[],[refute_0_86:[bind(X_209,$fot(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280)))),bind(X_210,$fot(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)))),bind(X_211,$fot(equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))))),bind(X_212,$fot(X_3280)),bind(X_213,$fot(X_3281)),bind(X_214,$fot(X_395)),bind(X_215,$fot(X_3287)),bind(X_216,$fot(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)))),bind(X_217,$fot(X_394)),bind(X_218,$fot(equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))))),bind(X_219,$fot(X_3287))]]) ).

cnf(refute_0_163,plain,
    is_a_theorem(equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280)),equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394)))),X_3287)),equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),equivalent(equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394))),equivalent(equivalent(X_3287,equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280))),equivalent(equivalent(equivalent(equivalent(X_3280,X_3281),equivalent(equivalent(X_3281,X_3287),X_3280)),equivalent(equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401)),equivalent(equivalent(X_394,X_395),equivalent(equivalent(X_395,equivalent(X_402,equivalent(equivalent(equivalent(X_399,X_400),equivalent(equivalent(X_400,equivalent(X_401,equivalent(X_402,equivalent(X_396,equivalent(equivalent(X_397,X_398),equivalent(equivalent(X_398,X_396),X_397)))))),X_399)),X_401))),X_394)))),X_3287))))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(equivalent(equivalent(X_3484,X_3485),equivalent(equivalent(X_3485,equivalent(X_3486,equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(X_3481,equivalent(equivalent(X_3482,X_3483),equivalent(equivalent(X_3483,X_3481),X_3482)))))),X_3484)),X_3486)),equivalent(X_3480,equivalent(equivalent(X_3478,X_3479),equivalent(equivalent(X_3479,X_3480),X_3478))))),
    inference(subst,[],[refute_0_163:[bind(X_3280,$fot(X_3478)),bind(X_3281,$fot(X_3479)),bind(X_3287,$fot(X_3480)),bind(X_396,$fot(X_3481)),bind(X_397,$fot(X_3482)),bind(X_398,$fot(X_3483)),bind(X_399,$fot(X_3484)),bind(X_400,$fot(X_3485)),bind(X_401,$fot(X_3486)),bind(X_402,$fot(equivalent(X_3486,equivalent(X_3484,X_3485))))]]) ).

cnf(refute_0_165,plain,
    is_a_theorem(equivalent(equivalent(X_3485,equivalent(X_3486,equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(X_3481,equivalent(equivalent(X_3482,X_3483),equivalent(equivalent(X_3483,X_3481),X_3482)))))),X_3484)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(equivalent(equivalent(X_3484,X_3485),equivalent(equivalent(X_3485,equivalent(X_3486,equivalent(equivalent(X_3486,equivalent(X_3484,X_3485)),equivalent(X_3481,equivalent(equivalent(X_3482,X_3483),equivalent(equivalent(X_3483,X_3481),X_3482)))))),X_3484)),X_3486)),equivalent(X_3480,equivalent(equivalent(X_3478,X_3479),equivalent(equivalent(X_3479,X_3480),X_3478))))) )],[refute_0_164,refute_0_151]) ).

cnf(refute_0_166,plain,
    is_a_theorem(equivalent(equivalent(X_3492,equivalent(X_3493,equivalent(equivalent(X_3493,equivalent(X_3491,X_3492)),equivalent(X_3488,equivalent(equivalent(X_3489,X_3490),equivalent(equivalent(X_3490,X_3488),X_3489)))))),X_3491)),
    inference(subst,[],[refute_0_165:[bind(X_3481,$fot(X_3488)),bind(X_3482,$fot(X_3489)),bind(X_3483,$fot(X_3490)),bind(X_3484,$fot(X_3491)),bind(X_3485,$fot(X_3492)),bind(X_3486,$fot(X_3493))]]) ).

cnf(refute_0_167,plain,
    ( ~ is_a_theorem(equivalent(X_3492,equivalent(X_3493,equivalent(equivalent(X_3493,equivalent(X_3491,X_3492)),equivalent(X_3488,equivalent(equivalent(X_3489,X_3490),equivalent(equivalent(X_3490,X_3488),X_3489)))))))
    | is_a_theorem(X_3491) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3492,equivalent(X_3493,equivalent(equivalent(X_3493,equivalent(X_3491,X_3492)),equivalent(X_3488,equivalent(equivalent(X_3489,X_3490),equivalent(equivalent(X_3490,X_3488),X_3489)))))),X_3491)) )],[refute_0_166,refute_0_150]) ).

cnf(refute_0_168,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3802,equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798)),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802)),equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802),X_3802),equivalent(equivalent(X_3802,equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798)),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802)))),equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802),X_3802)) ),
    inference(subst,[],[refute_0_167:[bind(X_3488,$fot(X_3800)),bind(X_3489,$fot(X_3801)),bind(X_3490,$fot(X_3799)),bind(X_3491,$fot(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802),X_3802))),bind(X_3492,$fot(equivalent(equivalent(X_3802,equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798)),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802)))),bind(X_3493,$fot(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798)))]]) ).

cnf(refute_0_169,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3802,equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798)),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802)),equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802),X_3802),equivalent(equivalent(X_3802,equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798)),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802)))),equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801))))))),
    inference(subst,[],[refute_0_109:[bind(X_2485,$fot(X_3798)),bind(X_2487,$fot(X_3799)),bind(X_2488,$fot(X_3800)),bind(X_2489,$fot(X_3801)),bind(X_2490,$fot(X_3802)),bind(X_2491,$fot(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798))),bind(X_2492,$fot(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802))),bind(X_333,$fot(X_3802)),bind(X_334,$fot(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798))),bind(X_336,$fot(X_3807)),bind(X_337,$fot(X_3808)),bind(X_338,$fot(X_3809))]]) ).

cnf(refute_0_170,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802),X_3802)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3802,equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798)),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802)),equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802),X_3802),equivalent(equivalent(X_3802,equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798)),equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),X_3802)))),equivalent(X_3800,equivalent(equivalent(X_3801,X_3799),equivalent(equivalent(X_3799,X_3800),X_3801))))))) )],[refute_0_169,refute_0_168]) ).

cnf(refute_0_171,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),equivalent(X_5269,X_5269)),equivalent(X_5269,X_5269))),
    inference(subst,[],[refute_0_170:[bind(X_3802,$fot(equivalent(X_5269,X_5269)))]]) ).

cnf(refute_0_172,plain,
    ( ~ is_a_theorem(equivalent(X_3962,equivalent(X_3961,X_3961)))
    | ~ is_a_theorem(equivalent(equivalent(X_3962,equivalent(X_3961,X_3961)),equivalent(X_3963,equivalent(X_3962,X_3963))))
    | is_a_theorem(equivalent(X_3963,equivalent(X_3962,X_3963))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3962,equivalent(X_3961,X_3961)))),bind(Y,$fot(equivalent(X_3963,equivalent(X_3962,X_3963))))]]) ).

cnf(refute_0_173,plain,
    ( ~ is_a_theorem(equivalent(X_3812,X_3813))
    | ~ is_a_theorem(equivalent(equivalent(X_3812,X_3813),equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),X_3812)))
    | is_a_theorem(equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),X_3812)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3812,X_3813))),bind(Y,$fot(equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),X_3812)))]]) ).

cnf(refute_0_174,plain,
    is_a_theorem(equivalent(equivalent(X_3812,X_3813),equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),X_3812))),
    inference(subst,[],[refute_0_113:[bind(X_3355,$fot(X_3812)),bind(X_3356,$fot(X_3813)),bind(X_3811,$fot(X_3814))]]) ).

cnf(refute_0_175,plain,
    ( ~ is_a_theorem(equivalent(X_3812,X_3813))
    | is_a_theorem(equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),X_3812)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3812,X_3813),equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),X_3812))) )],[refute_0_174,refute_0_173]) ).

cnf(refute_0_176,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3958,equivalent(X_3957,X_3958)),X_3957))
    | is_a_theorem(equivalent(equivalent(X_3957,equivalent(X_3814,X_3814)),equivalent(X_3958,equivalent(X_3957,X_3958)))) ),
    inference(subst,[],[refute_0_175:[bind(X_3812,$fot(equivalent(X_3958,equivalent(X_3957,X_3958)))),bind(X_3813,$fot(X_3957))]]) ).

cnf(refute_0_177,plain,
    is_a_theorem(equivalent(equivalent(X_3958,equivalent(X_3957,X_3958)),X_3957)),
    inference(subst,[],[refute_0_131:[bind(X_2804,$fot(X_3957)),bind(X_2805,$fot(X_3958))]]) ).

cnf(refute_0_178,plain,
    is_a_theorem(equivalent(equivalent(X_3957,equivalent(X_3814,X_3814)),equivalent(X_3958,equivalent(X_3957,X_3958)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3958,equivalent(X_3957,X_3958)),X_3957)) )],[refute_0_177,refute_0_176]) ).

cnf(refute_0_179,plain,
    is_a_theorem(equivalent(equivalent(X_3962,equivalent(X_3961,X_3961)),equivalent(X_3963,equivalent(X_3962,X_3963)))),
    inference(subst,[],[refute_0_178:[bind(X_3814,$fot(X_3961)),bind(X_3957,$fot(X_3962)),bind(X_3958,$fot(X_3963))]]) ).

cnf(refute_0_180,plain,
    ( ~ is_a_theorem(equivalent(X_3962,equivalent(X_3961,X_3961)))
    | is_a_theorem(equivalent(X_3963,equivalent(X_3962,X_3963))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3962,equivalent(X_3961,X_3961)),equivalent(X_3963,equivalent(X_3962,X_3963)))) )],[refute_0_179,refute_0_172]) ).

cnf(refute_0_181,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),equivalent(X_5269,X_5269)),equivalent(X_5269,X_5269)))
    | is_a_theorem(equivalent(X_5271,equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),equivalent(X_5269,X_5269)),X_5271))) ),
    inference(subst,[],[refute_0_180:[bind(X_3961,$fot(X_5269)),bind(X_3962,$fot(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),equivalent(X_5269,X_5269)))),bind(X_3963,$fot(X_5271))]]) ).

cnf(refute_0_182,plain,
    is_a_theorem(equivalent(X_5271,equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),equivalent(X_5269,X_5269)),X_5271))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_3808,equivalent(equivalent(X_3809,X_3807),equivalent(equivalent(X_3807,X_3808),X_3809))),X_3798),X_3798),equivalent(X_5269,X_5269)),equivalent(X_5269,X_5269))) )],[refute_0_171,refute_0_181]) ).

cnf(refute_0_183,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182),equivalent(equivalent(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182),equivalent(X_10186,X_10186)),equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182)))),
    inference(subst,[],[refute_0_182:[bind(X_3798,$fot(X_10182)),bind(X_3807,$fot(X_10183)),bind(X_3808,$fot(X_10184)),bind(X_3809,$fot(X_10185)),bind(X_5269,$fot(X_10186)),bind(X_5271,$fot(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182)))]]) ).

cnf(refute_0_184,plain,
    is_a_theorem(equivalent(X_6267,equivalent(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182),X_6267))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182),equivalent(equivalent(equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182),equivalent(X_10186,X_10186)),equivalent(equivalent(equivalent(X_10184,equivalent(equivalent(X_10185,X_10183),equivalent(equivalent(X_10183,X_10184),X_10185))),X_10182),X_10182)))) )],[refute_0_183,refute_0_149]) ).

cnf(refute_0_185,plain,
    is_a_theorem(equivalent(X_10190,equivalent(equivalent(equivalent(equivalent(X_10190,equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191))),equivalent(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190),X_10190)),equivalent(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190),X_10190)),X_10190))),
    inference(subst,[],[refute_0_184:[bind(X_10182,$fot(equivalent(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190),X_10190))),bind(X_10183,$fot(X_10189)),bind(X_10184,$fot(X_10190)),bind(X_10185,$fot(X_10191)),bind(X_6267,$fot(X_10190))]]) ).

cnf(refute_0_186,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(X_10190,equivalent(equivalent(equivalent(equivalent(X_10190,equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191))),equivalent(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190),X_10190)),equivalent(equivalent(equivalent(equivalent(X_10191,X_10189),equivalent(equivalent(X_10189,X_10190),X_10191)),X_10190),X_10190)),X_10190))) )],[refute_0_185,refute_0_137]) ).

cnf(refute_0_187,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)),
    inference(subst,[],[refute_0_186:[bind(X_10189,$fot(X_10193)),bind(X_10190,$fot(X_10194)),bind(X_10191,$fot(X_10195))]]) ).

cnf(refute_0_188,plain,
    is_a_theorem(equivalent(equivalent(X_3959,X_3959),equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)) )],[refute_0_187,refute_0_136]) ).

cnf(refute_0_189,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194),equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)),equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194))),
    inference(subst,[],[refute_0_188:[bind(X_3959,$fot(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)))]]) ).

cnf(refute_0_190,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_16201,X_16200),X_16201))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X_16201,X_16200),X_16201),equivalent(X_16200,equivalent(equivalent(X_16198,X_16198),equivalent(X_16199,X_16199)))))
    | is_a_theorem(equivalent(X_16200,equivalent(equivalent(X_16198,X_16198),equivalent(X_16199,X_16199)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(equivalent(X_16201,X_16200),X_16201))),bind(Y,$fot(equivalent(X_16200,equivalent(equivalent(X_16198,X_16198),equivalent(X_16199,X_16199)))))]]) ).

cnf(refute_0_191,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(X_1686,X_16197),X_1686)),equivalent(equivalent(equivalent(equivalent(X_1686,X_16197),X_1686),equivalent(X_16197,equivalent(equivalent(X_16193,X_16193),equivalent(X_16194,X_16194)))),equivalent(X_1686,X_1686))),X_16197)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_16197),X_1686),equivalent(X_16197,equivalent(equivalent(X_16193,X_16193),equivalent(X_16194,X_16194))))) ),
    inference(subst,[],[refute_0_42:[bind(X_1687,$fot(X_16197)),bind(X_1688,$fot(X_1686)),bind(X_1689,$fot(equivalent(X_1686,X_1686))),bind(X_1690,$fot(equivalent(equivalent(equivalent(X_1686,X_16197),X_1686),equivalent(X_16197,equivalent(equivalent(X_16193,X_16193),equivalent(X_16194,X_16194))))))]]) ).

cnf(refute_0_192,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_4166,X_4167),equivalent(equivalent(X_4167,equivalent(X_4168,equivalent(equivalent(X_4164,X_4164),equivalent(X_4165,X_4165)))),X_4166)),X_4168))
    | is_a_theorem(equivalent(equivalent(X_3959,X_3959),equivalent(equivalent(equivalent(X_4166,X_4167),equivalent(equivalent(X_4167,equivalent(X_4168,equivalent(equivalent(X_4164,X_4164),equivalent(X_4165,X_4165)))),X_4166)),X_4168))) ),
    inference(subst,[],[refute_0_135:[bind(X_3960,$fot(equivalent(equivalent(equivalent(X_4166,X_4167),equivalent(equivalent(X_4167,equivalent(X_4168,equivalent(equivalent(X_4164,X_4164),equivalent(X_4165,X_4165)))),X_4166)),X_4168)))]]) ).

cnf(refute_0_193,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_3811,X_3811),equivalent(equivalent(equivalent(X_3847,X_3848),equivalent(equivalent(X_3848,equivalent(X_3849,equivalent(equivalent(X_3811,X_3811),equivalent(X_3846,X_3846)))),X_3847)),X_3849)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_3847,X_3848),equivalent(equivalent(X_3848,equivalent(X_3849,equivalent(equivalent(X_3811,X_3811),equivalent(X_3846,X_3846)))),X_3847)),X_3849)) ),
    inference(subst,[],[refute_0_117:[bind(X_3810,$fot(equivalent(equivalent(equivalent(X_3847,X_3848),equivalent(equivalent(X_3848,equivalent(X_3849,equivalent(equivalent(X_3811,X_3811),equivalent(X_3846,X_3846)))),X_3847)),X_3849)))]]) ).

cnf(refute_0_194,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)))),X_3813),equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)))))))
    | is_a_theorem(equivalent(X_3813,equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51))) ),
    inference(subst,[],[refute_0_69:[bind(X_48,$fot(equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814))))),bind(X_52,$fot(equivalent(X_3813,equivalent(X_3814,X_3814)))),bind(X_53,$fot(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)))),bind(X_54,$fot(X_3813)),bind(X_55,$fot(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51)))]]) ).

cnf(refute_0_195,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)))),X_3813),equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49))))))),
    inference(subst,[],[refute_0_113:[bind(X_3355,$fot(equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)))))),bind(X_3356,$fot(X_3813)),bind(X_3811,$fot(X_3814))]]) ).

cnf(refute_0_196,plain,
    is_a_theorem(equivalent(X_3813,equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)))),X_3813),equivalent(equivalent(X_3813,equivalent(X_3814,X_3814)),equivalent(equivalent(equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49)),X_51),equivalent(equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814))),equivalent(equivalent(X_49,X_50),equivalent(equivalent(X_50,equivalent(X_51,equivalent(X_3813,equivalent(X_3814,X_3814)))),X_49))))))) )],[refute_0_195,refute_0_194]) ).

cnf(refute_0_197,plain,
    is_a_theorem(equivalent(equivalent(X_3811,X_3811),equivalent(equivalent(equivalent(X_3847,X_3848),equivalent(equivalent(X_3848,equivalent(X_3849,equivalent(equivalent(X_3811,X_3811),equivalent(X_3846,X_3846)))),X_3847)),X_3849))),
    inference(subst,[],[refute_0_196:[bind(X_3813,$fot(equivalent(X_3811,X_3811))),bind(X_3814,$fot(X_3846)),bind(X_49,$fot(X_3847)),bind(X_50,$fot(X_3848)),bind(X_51,$fot(X_3849))]]) ).

cnf(refute_0_198,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_3847,X_3848),equivalent(equivalent(X_3848,equivalent(X_3849,equivalent(equivalent(X_3811,X_3811),equivalent(X_3846,X_3846)))),X_3847)),X_3849)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3811,X_3811),equivalent(equivalent(equivalent(X_3847,X_3848),equivalent(equivalent(X_3848,equivalent(X_3849,equivalent(equivalent(X_3811,X_3811),equivalent(X_3846,X_3846)))),X_3847)),X_3849))) )],[refute_0_197,refute_0_193]) ).

cnf(refute_0_199,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_4166,X_4167),equivalent(equivalent(X_4167,equivalent(X_4168,equivalent(equivalent(X_4164,X_4164),equivalent(X_4165,X_4165)))),X_4166)),X_4168)),
    inference(subst,[],[refute_0_198:[bind(X_3811,$fot(X_4164)),bind(X_3846,$fot(X_4165)),bind(X_3847,$fot(X_4166)),bind(X_3848,$fot(X_4167)),bind(X_3849,$fot(X_4168))]]) ).

cnf(refute_0_200,plain,
    is_a_theorem(equivalent(equivalent(X_3959,X_3959),equivalent(equivalent(equivalent(X_4166,X_4167),equivalent(equivalent(X_4167,equivalent(X_4168,equivalent(equivalent(X_4164,X_4164),equivalent(X_4165,X_4165)))),X_4166)),X_4168))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_4166,X_4167),equivalent(equivalent(X_4167,equivalent(X_4168,equivalent(equivalent(X_4164,X_4164),equivalent(X_4165,X_4165)))),X_4166)),X_4168)) )],[refute_0_199,refute_0_192]) ).

cnf(refute_0_201,plain,
    is_a_theorem(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(X_1686,X_16197),X_1686)),equivalent(equivalent(equivalent(equivalent(X_1686,X_16197),X_1686),equivalent(X_16197,equivalent(equivalent(X_16193,X_16193),equivalent(X_16194,X_16194)))),equivalent(X_1686,X_1686))),X_16197))),
    inference(subst,[],[refute_0_200:[bind(X_3959,$fot(X_1686)),bind(X_4164,$fot(X_16193)),bind(X_4165,$fot(X_16194)),bind(X_4166,$fot(equivalent(X_1686,X_1686))),bind(X_4167,$fot(equivalent(equivalent(X_1686,X_16197),X_1686))),bind(X_4168,$fot(X_16197))]]) ).

cnf(refute_0_202,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_16197),X_1686),equivalent(X_16197,equivalent(equivalent(X_16193,X_16193),equivalent(X_16194,X_16194))))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(X_1686,X_16197),X_1686)),equivalent(equivalent(equivalent(equivalent(X_1686,X_16197),X_1686),equivalent(X_16197,equivalent(equivalent(X_16193,X_16193),equivalent(X_16194,X_16194)))),equivalent(X_1686,X_1686))),X_16197))) )],[refute_0_201,refute_0_191]) ).

cnf(refute_0_203,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_16201,X_16200),X_16201),equivalent(X_16200,equivalent(equivalent(X_16198,X_16198),equivalent(X_16199,X_16199))))),
    inference(subst,[],[refute_0_202:[bind(X_16193,$fot(X_16198)),bind(X_16194,$fot(X_16199)),bind(X_16197,$fot(X_16200)),bind(X_1686,$fot(X_16201))]]) ).

cnf(refute_0_204,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_16201,X_16200),X_16201))
    | is_a_theorem(equivalent(X_16200,equivalent(equivalent(X_16198,X_16198),equivalent(X_16199,X_16199)))) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_16201,X_16200),X_16201),equivalent(X_16200,equivalent(equivalent(X_16198,X_16198),equivalent(X_16199,X_16199))))) )],[refute_0_203,refute_0_190]) ).

cnf(refute_0_205,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194),equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)),equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194),equivalent(equivalent(X_16212,X_16212),equivalent(X_16213,X_16213)))) ),
    inference(subst,[],[refute_0_204:[bind(X_16198,$fot(X_16212)),bind(X_16199,$fot(X_16213)),bind(X_16200,$fot(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194))),bind(X_16201,$fot(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)))]]) ).

cnf(refute_0_206,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194),equivalent(equivalent(X_16212,X_16212),equivalent(X_16213,X_16213)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194),equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)),equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194))) )],[refute_0_189,refute_0_205]) ).

cnf(refute_0_207,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194),equivalent(equivalent(equivalent(X_18452,X_18452),equivalent(X_18452,X_18452)),equivalent(X_18452,X_18452)))),
    inference(subst,[],[refute_0_206:[bind(X_16212,$fot(equivalent(X_18452,X_18452))),bind(X_16213,$fot(X_18452))]]) ).

cnf(refute_0_208,plain,
    ( ~ is_a_theorem(equivalent(X_17674,equivalent(equivalent(equivalent(X_17676,X_17676),X_17675),X_17675)))
    | ~ is_a_theorem(equivalent(equivalent(X_17674,equivalent(equivalent(equivalent(X_17676,X_17676),X_17675),X_17675)),equivalent(equivalent(X_17673,X_17674),X_17673)))
    | is_a_theorem(equivalent(equivalent(X_17673,X_17674),X_17673)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_17674,equivalent(equivalent(equivalent(X_17676,X_17676),X_17675),X_17675)))),bind(Y,$fot(equivalent(equivalent(X_17673,X_17674),X_17673)))]]) ).

cnf(refute_0_209,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(X_1686,X_10201),X_1686)),equivalent(equivalent(equivalent(equivalent(X_1686,X_10201),X_1686),X_10201),equivalent(X_1686,X_1686))),X_10201)))
    | is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_10201),X_1686),X_10201)) ),
    inference(subst,[],[refute_0_42:[bind(X_1687,$fot(X_10201)),bind(X_1688,$fot(X_1686)),bind(X_1689,$fot(equivalent(X_1686,X_1686))),bind(X_1690,$fot(equivalent(equivalent(equivalent(X_1686,X_10201),X_1686),X_10201)))]]) ).

cnf(refute_0_210,plain,
    is_a_theorem(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(X_1686,X_10201),X_1686)),equivalent(equivalent(equivalent(equivalent(X_1686,X_10201),X_1686),X_10201),equivalent(X_1686,X_1686))),X_10201))),
    inference(subst,[],[refute_0_188:[bind(X_10193,$fot(equivalent(equivalent(X_1686,X_10201),X_1686))),bind(X_10194,$fot(X_10201)),bind(X_10195,$fot(equivalent(X_1686,X_1686))),bind(X_3959,$fot(X_1686))]]) ).

cnf(refute_0_211,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_10201),X_1686),X_10201)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(equivalent(equivalent(X_1686,X_1686),equivalent(equivalent(X_1686,X_10201),X_1686)),equivalent(equivalent(equivalent(equivalent(X_1686,X_10201),X_1686),X_10201),equivalent(X_1686,X_1686))),X_10201))) )],[refute_0_210,refute_0_209]) ).

cnf(refute_0_212,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_17601),X_1686),X_17601)),
    inference(subst,[],[refute_0_211:[bind(X_10201,$fot(X_17601))]]) ).

cnf(refute_0_213,plain,
    ( ~ is_a_theorem(equivalent(X_3829,X_3830))
    | ~ is_a_theorem(equivalent(equivalent(X_3829,X_3830),equivalent(equivalent(X_3830,equivalent(equivalent(equivalent(X_3832,X_3832),X_3831),X_3831)),X_3829)))
    | is_a_theorem(equivalent(equivalent(X_3830,equivalent(equivalent(equivalent(X_3832,X_3832),X_3831),X_3831)),X_3829)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(equivalent(X_3829,X_3830))),bind(Y,$fot(equivalent(equivalent(X_3830,equivalent(equivalent(equivalent(X_3832,X_3832),X_3831),X_3831)),X_3829)))]]) ).

cnf(refute_0_214,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_3811,X_3811),X_3810),X_3810))
    | is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(equivalent(X_3811,X_3811),X_3810),X_3810)),Y))) ),
    inference(subst,[],[refute_0_6:[bind(X_3,$fot(equivalent(equivalent(equivalent(X_3811,X_3811),X_3810),X_3810)))]]) ).

cnf(refute_0_215,plain,
    is_a_theorem(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(equivalent(equivalent(X_3811,X_3811),X_3810),X_3810)),Y))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_3811,X_3811),X_3810),X_3810)) )],[refute_0_116,refute_0_214]) ).

cnf(refute_0_216,plain,
    is_a_theorem(equivalent(equivalent(X_3829,X_3830),equivalent(equivalent(X_3830,equivalent(equivalent(equivalent(X_3832,X_3832),X_3831),X_3831)),X_3829))),
    inference(subst,[],[refute_0_215:[bind(Y,$fot(X_3829)),bind(Z,$fot(X_3830)),bind(X_3810,$fot(X_3831)),bind(X_3811,$fot(X_3832))]]) ).

cnf(refute_0_217,plain,
    ( ~ is_a_theorem(equivalent(X_3829,X_3830))
    | is_a_theorem(equivalent(equivalent(X_3830,equivalent(equivalent(equivalent(X_3832,X_3832),X_3831),X_3831)),X_3829)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_3829,X_3830),equivalent(equivalent(X_3830,equivalent(equivalent(equivalent(X_3832,X_3832),X_3831),X_3831)),X_3829))) )],[refute_0_216,refute_0_213]) ).

cnf(refute_0_218,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_17601),X_1686),X_17601))
    | is_a_theorem(equivalent(equivalent(X_17601,equivalent(equivalent(equivalent(X_17603,X_17603),X_17602),X_17602)),equivalent(equivalent(X_1686,X_17601),X_1686))) ),
    inference(subst,[],[refute_0_217:[bind(X_3829,$fot(equivalent(equivalent(X_1686,X_17601),X_1686))),bind(X_3830,$fot(X_17601)),bind(X_3831,$fot(X_17602)),bind(X_3832,$fot(X_17603))]]) ).

cnf(refute_0_219,plain,
    is_a_theorem(equivalent(equivalent(X_17601,equivalent(equivalent(equivalent(X_17603,X_17603),X_17602),X_17602)),equivalent(equivalent(X_1686,X_17601),X_1686))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_17601),X_1686),X_17601)) )],[refute_0_212,refute_0_218]) ).

cnf(refute_0_220,plain,
    is_a_theorem(equivalent(equivalent(X_17674,equivalent(equivalent(equivalent(X_17676,X_17676),X_17675),X_17675)),equivalent(equivalent(X_17673,X_17674),X_17673))),
    inference(subst,[],[refute_0_219:[bind(X_1686,$fot(X_17673)),bind(X_17601,$fot(X_17674)),bind(X_17602,$fot(X_17675)),bind(X_17603,$fot(X_17676))]]) ).

cnf(refute_0_221,plain,
    ( ~ is_a_theorem(equivalent(X_17674,equivalent(equivalent(equivalent(X_17676,X_17676),X_17675),X_17675)))
    | is_a_theorem(equivalent(equivalent(X_17673,X_17674),X_17673)) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_17674,equivalent(equivalent(equivalent(X_17676,X_17676),X_17675),X_17675)),equivalent(equivalent(X_17673,X_17674),X_17673))) )],[refute_0_220,refute_0_208]) ).

cnf(refute_0_222,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194),equivalent(equivalent(equivalent(X_18452,X_18452),equivalent(X_18452,X_18452)),equivalent(X_18452,X_18452))))
    | is_a_theorem(equivalent(equivalent(X_18449,equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)),X_18449)) ),
    inference(subst,[],[refute_0_221:[bind(X_17673,$fot(X_18449)),bind(X_17674,$fot(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194))),bind(X_17675,$fot(equivalent(X_18452,X_18452))),bind(X_17676,$fot(X_18452))]]) ).

cnf(refute_0_223,plain,
    is_a_theorem(equivalent(equivalent(X_18449,equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194)),X_18449)),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X_10195,X_10193),equivalent(equivalent(X_10193,X_10194),X_10195)),X_10194),equivalent(equivalent(equivalent(X_18452,X_18452),equivalent(X_18452,X_18452)),equivalent(X_18452,X_18452)))) )],[refute_0_207,refute_0_222]) ).

cnf(refute_0_224,plain,
    is_a_theorem(equivalent(equivalent(X_20201,equivalent(equivalent(equivalent(X_20200,X_20198),equivalent(equivalent(X_20198,X_20199),X_20200)),X_20199)),X_20201)),
    inference(subst,[],[refute_0_223:[bind(X_10193,$fot(X_20198)),bind(X_10194,$fot(X_20199)),bind(X_10195,$fot(X_20200)),bind(X_18449,$fot(X_20201))]]) ).

cnf(refute_0_225,plain,
    ( ~ is_a_theorem(equivalent(X_20201,equivalent(equivalent(equivalent(X_20200,X_20198),equivalent(equivalent(X_20198,X_20199),X_20200)),X_20199)))
    | is_a_theorem(X_20201) ),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_20201,equivalent(equivalent(equivalent(X_20200,X_20198),equivalent(equivalent(X_20198,X_20199),X_20200)),X_20199)),X_20201)) )],[refute_0_224,refute_0_45]) ).

cnf(refute_0_226,plain,
    ( ~ is_a_theorem(equivalent(equivalent(X_26400,equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399)),equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399),equivalent(equivalent(X_26399,X_26400),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)))),X_26400)))
    | is_a_theorem(equivalent(X_26400,equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399))) ),
    inference(subst,[],[refute_0_225:[bind(X_20198,$fot(X_26399)),bind(X_20199,$fot(X_26400)),bind(X_20200,$fot(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)))),bind(X_20201,$fot(equivalent(X_26400,equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399))))]]) ).

cnf(refute_0_227,plain,
    is_a_theorem(equivalent(X_26400,equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_26400,equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399)),equivalent(equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)),X_26399),equivalent(equivalent(X_26399,X_26400),equivalent(equivalent(Y,Z),equivalent(equivalent(Z,equivalent(X_26399,X_26400)),Y)))),X_26400))) )],[refute_0_44,refute_0_226]) ).

cnf(refute_0_228,plain,
    is_a_theorem(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_26447),X_1688)),equivalent(equivalent(equivalent(equivalent(X_1686,X_26447),X_1688),equivalent(X_26447,equivalent(X_1688,X_1686))),equivalent(X_1688,X_1686))),X_26447))),
    inference(subst,[],[refute_0_227:[bind(Y,$fot(equivalent(X_1688,X_1686))),bind(Z,$fot(equivalent(equivalent(X_1686,X_26447),X_1688))),bind(X_26399,$fot(X_26447)),bind(X_26400,$fot(equivalent(X_1688,X_1686)))]]) ).

cnf(refute_0_229,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X_1686,X_26447),X_1688),equivalent(X_26447,equivalent(X_1688,X_1686)))),
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(equivalent(equivalent(X_1688,X_1686),equivalent(equivalent(X_1686,X_26447),X_1688)),equivalent(equivalent(equivalent(equivalent(X_1686,X_26447),X_1688),equivalent(X_26447,equivalent(X_1688,X_1686))),equivalent(X_1688,X_1686))),X_26447))) )],[refute_0_228,refute_0_43]) ).

cnf(refute_0_230,plain,
    is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
    inference(subst,[],[refute_0_229:[bind(X_1686,$fot(a)),bind(X_1688,$fot(c)),bind(X_26447,$fot(b))]]) ).

cnf(refute_0_231,plain,
    $false,
    inference(resolve,[$cnf( is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))) )],[refute_0_230,prove_um]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL166-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jul  2 12:56:52 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 65.72/65.94  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 65.72/65.94  
% 65.72/65.94  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 65.85/66.01  
%------------------------------------------------------------------------------