%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 12:49:20 EDT 2022

% Result   : Unsatisfiable 237.41s 237.63s
% Output   : CNFRefutation 237.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  109
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  378 ( 210 unt;   0 nHn;  77 RR)
%            Number of literals    :  583 (   0 equ; 206 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   : 1716 ( 556 sgn)

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

cnf(ic_JLukasiewicz,axiom,
    is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ).

cnf(prove_ic_5,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(implies(a,b),b))) ).

cnf(refute_0_0,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_51477,X_51477),implies(X_51476,implies(X_51476,X_51475))),implies(X_51476,X_51475)),X_51474))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(X_51477,X_51477),implies(X_51476,implies(X_51476,X_51475))),implies(X_51476,X_51475)),X_51474),X_51474))
    | is_a_theorem(X_51474) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_51477,X_51477),implies(X_51476,implies(X_51476,X_51475))),implies(X_51476,X_51475)),X_51474))),bind(Y,$fot(X_51474))]]) ).

cnf(refute_0_1,plain,
    ( ~ is_a_theorem(implies(X_6664,implies(X_6664,X_6663)))
    | ~ is_a_theorem(implies(implies(X_6664,implies(X_6664,X_6663)),implies(X_6664,X_6663)))
    | is_a_theorem(implies(X_6664,X_6663)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_6664,implies(X_6664,X_6663)))),bind(Y,$fot(implies(X_6664,X_6663)))]]) ).

cnf(refute_0_2,plain,
    ( ~ is_a_theorem(implies(implies(X_6624,X_6624),X_6625))
    | ~ is_a_theorem(implies(implies(implies(X_6624,X_6624),X_6625),X_6625))
    | is_a_theorem(X_6625) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_6624,X_6624),X_6625))),bind(Y,$fot(X_6625))]]) ).

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

cnf(refute_0_4,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),Z))
    | is_a_theorem(implies(implies(Z,X),implies(U,X))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) )],[ic_JLukasiewicz,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323))))]]) ).

cnf(refute_0_6,plain,
    ( ~ is_a_theorem(X_579)
    | ~ is_a_theorem(implies(X_579,implies(X_578,X_579)))
    | is_a_theorem(implies(X_578,X_579)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_579)),bind(Y,$fot(implies(X_578,X_579)))]]) ).

cnf(refute_0_7,plain,
    ( ~ is_a_theorem(implies(implies(X_83,X_84),implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_83)),bind(Y,$fot(X_84)),bind(Z,$fot(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84))))]]) ).

cnf(refute_0_8,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36)))))
    | is_a_theorem(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36)))))]]) ).

cnf(refute_0_9,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12))))
    | is_a_theorem(implies(implies(implies(X_13,implies(X_11,X_12)),implies(implies(X_14,X_11),implies(X_10,X_11))),implies(U,implies(implies(X_14,X_11),implies(X_10,X_11))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(implies(X_14,X_11),implies(X_10,X_11)))),bind(Y,$fot(implies(X_11,X_12))),bind(Z,$fot(implies(X_13,implies(X_11,X_12))))]]) ).

cnf(refute_0_10,plain,
    is_a_theorem(implies(implies(implies(X,Y),X_8),implies(implies(X_8,X),implies(U,X)))),
    inference(subst,[],[ic_JLukasiewicz:[bind(Z,$fot(X_8))]]) ).

cnf(refute_0_11,plain,
    ( ~ is_a_theorem(implies(implies(implies(X,Y),X_8),implies(implies(X_8,X),implies(U,X))))
    | is_a_theorem(implies(implies(implies(implies(X_8,X),implies(U,X)),implies(X,Y)),implies(X_6,implies(X,Y)))) ),
    inference(subst,[],[refute_0_4:[bind(U,$fot(X_6)),bind(X,$fot(implies(X,Y))),bind(Y,$fot(X_8)),bind(Z,$fot(implies(implies(X_8,X),implies(U,X))))]]) ).

cnf(refute_0_12,plain,
    is_a_theorem(implies(implies(implies(implies(X_8,X),implies(U,X)),implies(X,Y)),implies(X_6,implies(X,Y)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),X_8),implies(implies(X_8,X),implies(U,X)))) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12)))),
    inference(subst,[],[refute_0_12:[bind(U,$fot(X_10)),bind(X,$fot(X_11)),bind(Y,$fot(X_12)),bind(X_6,$fot(X_13)),bind(X_8,$fot(X_14))]]) ).

cnf(refute_0_14,plain,
    is_a_theorem(implies(implies(implies(X_13,implies(X_11,X_12)),implies(implies(X_14,X_11),implies(X_10,X_11))),implies(U,implies(implies(X_14,X_11),implies(X_10,X_11))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12)))) )],[refute_0_13,refute_0_9]) ).

cnf(refute_0_15,plain,
    is_a_theorem(implies(implies(implies(X_32,implies(X_12,X_12)),implies(implies(X_14,X_12),implies(X_12,X_12))),implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12))))),
    inference(subst,[],[refute_0_14:[bind(U,$fot(implies(X_12,X_12))),bind(X_10,$fot(X_12)),bind(X_11,$fot(X_12)),bind(X_13,$fot(X_32))]]) ).

cnf(refute_0_16,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)))
    | ~ is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12))))
    | is_a_theorem(implies(X_13,implies(X_11,X_12))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)))),bind(Y,$fot(implies(X_13,implies(X_11,X_12))))]]) ).

cnf(refute_0_17,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)))
    | is_a_theorem(implies(X_13,implies(X_11,X_12))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_14,X_11),implies(X_10,X_11)),implies(X_11,X_12)),implies(X_13,implies(X_11,X_12)))) )],[refute_0_13,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_32,implies(X_12,X_12)),implies(implies(X_14,X_12),implies(X_12,X_12))),implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12)))))
    | is_a_theorem(implies(X_31,implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12))))) ),
    inference(subst,[],[refute_0_17:[bind(X_10,$fot(implies(X_14,X_12))),bind(X_11,$fot(implies(X_12,X_12))),bind(X_12,$fot(implies(implies(X_14,X_12),implies(X_12,X_12)))),bind(X_13,$fot(X_31)),bind(X_14,$fot(X_32))]]) ).

cnf(refute_0_19,plain,
    is_a_theorem(implies(X_31,implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_32,implies(X_12,X_12)),implies(implies(X_14,X_12),implies(X_12,X_12))),implies(implies(X_12,X_12),implies(implies(X_14,X_12),implies(X_12,X_12))))) )],[refute_0_15,refute_0_18]) ).

cnf(refute_0_20,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))))),
    inference(subst,[],[refute_0_19:[bind(X_12,$fot(X_36)),bind(X_14,$fot(X_37)),bind(X_31,$fot(implies(X,Y)))]]) ).

cnf(refute_0_21,plain,
    is_a_theorem(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))))) )],[refute_0_20,refute_0_8]) ).

cnf(refute_0_22,plain,
    ( ~ is_a_theorem(implies(X_54,X_55))
    | ~ is_a_theorem(implies(implies(X_54,X_55),implies(X_55,implies(X_54,X_55))))
    | is_a_theorem(implies(X_55,implies(X_54,X_55))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_54,X_55))),bind(Y,$fot(implies(X_55,implies(X_54,X_55))))]]) ).

cnf(refute_0_23,plain,
    ( ~ is_a_theorem(X_35)
    | ~ is_a_theorem(implies(X_35,implies(implies(X_33,X_34),implies(X_34,implies(X_33,X_34)))))
    | is_a_theorem(implies(implies(X_33,X_34),implies(X_34,implies(X_33,X_34)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_35)),bind(Y,$fot(implies(implies(X_33,X_34),implies(X_34,implies(X_33,X_34)))))]]) ).

cnf(refute_0_24,plain,
    is_a_theorem(implies(implies(implies(implies(X_8,X_28),implies(U,X_28)),implies(X_28,implies(U,X_28))),implies(implies(U,X_28),implies(X_28,implies(U,X_28))))),
    inference(subst,[],[refute_0_12:[bind(X,$fot(X_28)),bind(Y,$fot(implies(U,X_28))),bind(X_6,$fot(implies(U,X_28)))]]) ).

cnf(refute_0_25,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_8,X_28),implies(U,X_28)),implies(X_28,implies(U,X_28))),implies(implies(U,X_28),implies(X_28,implies(U,X_28)))))
    | is_a_theorem(implies(X_31,implies(implies(U,X_28),implies(X_28,implies(U,X_28))))) ),
    inference(subst,[],[refute_0_17:[bind(X_10,$fot(X_28)),bind(X_11,$fot(implies(U,X_28))),bind(X_12,$fot(implies(X_28,implies(U,X_28)))),bind(X_13,$fot(X_31)),bind(X_14,$fot(implies(X_8,X_28)))]]) ).

cnf(refute_0_26,plain,
    is_a_theorem(implies(X_31,implies(implies(U,X_28),implies(X_28,implies(U,X_28))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_8,X_28),implies(U,X_28)),implies(X_28,implies(U,X_28))),implies(implies(U,X_28),implies(X_28,implies(U,X_28))))) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    is_a_theorem(implies(X_35,implies(implies(X_33,X_34),implies(X_34,implies(X_33,X_34))))),
    inference(subst,[],[refute_0_26:[bind(U,$fot(X_33)),bind(X_28,$fot(X_34)),bind(X_31,$fot(X_35))]]) ).

cnf(refute_0_28,plain,
    ( ~ is_a_theorem(X_35)
    | is_a_theorem(implies(implies(X_33,X_34),implies(X_34,implies(X_33,X_34)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_35,implies(implies(X_33,X_34),implies(X_34,implies(X_33,X_34))))) )],[refute_0_27,refute_0_23]) ).

cnf(refute_0_29,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X)))
    | is_a_theorem(implies(implies(X_51,X_52),implies(X_52,implies(X_51,X_52)))) ),
    inference(subst,[],[refute_0_28:[bind(X_33,$fot(X_51)),bind(X_34,$fot(X_52)),bind(X_35,$fot(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X))))]]) ).

cnf(refute_0_30,plain,
    is_a_theorem(implies(implies(X_51,X_52),implies(X_52,implies(X_51,X_52)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X))) )],[refute_0_21,refute_0_29]) ).

cnf(refute_0_31,plain,
    is_a_theorem(implies(implies(X_54,X_55),implies(X_55,implies(X_54,X_55)))),
    inference(subst,[],[refute_0_30:[bind(X_51,$fot(X_54)),bind(X_52,$fot(X_55))]]) ).

cnf(refute_0_32,plain,
    ( ~ is_a_theorem(implies(X_54,X_55))
    | is_a_theorem(implies(X_55,implies(X_54,X_55))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_54,X_55),implies(X_55,implies(X_54,X_55)))) )],[refute_0_31,refute_0_22]) ).

cnf(refute_0_33,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X)))
    | is_a_theorem(implies(implies(U,X),implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X)))) ),
    inference(subst,[],[refute_0_32:[bind(X_54,$fot(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X))),bind(X_55,$fot(implies(U,X)))]]) ).

cnf(refute_0_34,plain,
    is_a_theorem(implies(implies(U,X),implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X))) )],[refute_0_21,refute_0_33]) ).

cnf(refute_0_35,plain,
    is_a_theorem(implies(implies(X_83,X_84),implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)))),
    inference(subst,[],[refute_0_34:[bind(U,$fot(X_83)),bind(X,$fot(X_84)),bind(X_36,$fot(X_85)),bind(X_37,$fot(X_86))]]) ).

cnf(refute_0_36,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_83,X_84),implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)))) )],[refute_0_35,refute_0_7]) ).

cnf(refute_0_37,plain,
    ( ~ is_a_theorem(X_544)
    | ~ is_a_theorem(implies(X_544,implies(X_545,implies(X_543,X_545))))
    | is_a_theorem(implies(X_545,implies(X_543,X_545))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_544)),bind(Y,$fot(implies(X_545,implies(X_543,X_545))))]]) ).

cnf(refute_0_38,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_10,X_540),X_540),implies(X_10,X_540)),implies(X_540,implies(X_10,X_540))))
    | is_a_theorem(implies(X_13,implies(X_540,implies(X_10,X_540)))) ),
    inference(subst,[],[refute_0_17:[bind(X_11,$fot(X_540)),bind(X_12,$fot(implies(X_10,X_540))),bind(X_14,$fot(implies(X_10,X_540)))]]) ).

cnf(refute_0_39,plain,
    ( ~ is_a_theorem(implies(implies(X_538,X_539),implies(X_538,X_539)))
    | is_a_theorem(implies(implies(implies(X_538,X_539),X_538),implies(U,X_538))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_538)),bind(Y,$fot(X_539)),bind(Z,$fot(implies(X_538,X_539)))]]) ).

cnf(refute_0_40,plain,
    ( ~ is_a_theorem(implies(X_529,X_528))
    | ~ is_a_theorem(implies(implies(X_529,X_528),implies(X_528,X_528)))
    | is_a_theorem(implies(X_528,X_528)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_529,X_528))),bind(Y,$fot(implies(X_528,X_528)))]]) ).

cnf(refute_0_41,plain,
    ( ~ is_a_theorem(X_502)
    | ~ is_a_theorem(implies(X_502,implies(implies(X_504,X_503),implies(X_503,X_503))))
    | is_a_theorem(implies(implies(X_504,X_503),implies(X_503,X_503))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_502)),bind(Y,$fot(implies(implies(X_504,X_503),implies(X_503,X_503))))]]) ).

cnf(refute_0_42,plain,
    ( ~ is_a_theorem(X_486)
    | ~ is_a_theorem(implies(X_486,implies(X_485,implies(implies(X_488,X_487),implies(X_487,X_487)))))
    | is_a_theorem(implies(X_485,implies(implies(X_488,X_487),implies(X_487,X_487)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_486)),bind(Y,$fot(implies(X_485,implies(implies(X_488,X_487),implies(X_487,X_487)))))]]) ).

cnf(refute_0_43,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_76,X_75),implies(X_75,X_75)),X_75),implies(X_74,X_75)))
    | is_a_theorem(implies(implies(implies(X_74,X_75),implies(implies(X_76,X_75),implies(X_75,X_75))),implies(U,implies(implies(X_76,X_75),implies(X_75,X_75))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(implies(X_76,X_75),implies(X_75,X_75)))),bind(Y,$fot(X_75)),bind(Z,$fot(implies(X_74,X_75)))]]) ).

cnf(refute_0_44,plain,
    ( ~ is_a_theorem(implies(implies(X_72,X_72),implies(implies(X_73,X_72),implies(X_72,X_72))))
    | is_a_theorem(implies(implies(implies(implies(X_73,X_72),implies(X_72,X_72)),X_72),implies(U,X_72))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_72)),bind(Y,$fot(X_72)),bind(Z,$fot(implies(implies(X_73,X_72),implies(X_72,X_72))))]]) ).

cnf(refute_0_45,plain,
    ( ~ is_a_theorem(X_38)
    | ~ is_a_theorem(implies(X_38,implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36)))))
    | is_a_theorem(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_38)),bind(Y,$fot(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36)))))]]) ).

cnf(refute_0_46,plain,
    is_a_theorem(implies(X_38,implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))))),
    inference(subst,[],[refute_0_19:[bind(X_12,$fot(X_36)),bind(X_14,$fot(X_37)),bind(X_31,$fot(X_38))]]) ).

cnf(refute_0_47,plain,
    ( ~ is_a_theorem(X_38)
    | is_a_theorem(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_38,implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))))) )],[refute_0_46,refute_0_45]) ).

cnf(refute_0_48,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X)))
    | is_a_theorem(implies(implies(X_69,X_69),implies(implies(X_70,X_69),implies(X_69,X_69)))) ),
    inference(subst,[],[refute_0_47:[bind(X_36,$fot(X_69)),bind(X_37,$fot(X_70)),bind(X_38,$fot(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X))))]]) ).

cnf(refute_0_49,plain,
    is_a_theorem(implies(implies(X_69,X_69),implies(implies(X_70,X_69),implies(X_69,X_69)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_36,X_36),implies(implies(X_37,X_36),implies(X_36,X_36))),X),implies(U,X))) )],[refute_0_21,refute_0_48]) ).

cnf(refute_0_50,plain,
    is_a_theorem(implies(implies(X_72,X_72),implies(implies(X_73,X_72),implies(X_72,X_72)))),
    inference(subst,[],[refute_0_49:[bind(X_69,$fot(X_72)),bind(X_70,$fot(X_73))]]) ).

cnf(refute_0_51,plain,
    is_a_theorem(implies(implies(implies(implies(X_73,X_72),implies(X_72,X_72)),X_72),implies(U,X_72))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_72,X_72),implies(implies(X_73,X_72),implies(X_72,X_72)))) )],[refute_0_50,refute_0_44]) ).

cnf(refute_0_52,plain,
    is_a_theorem(implies(implies(implies(implies(X_76,X_75),implies(X_75,X_75)),X_75),implies(X_74,X_75))),
    inference(subst,[],[refute_0_51:[bind(U,$fot(X_74)),bind(X_72,$fot(X_75)),bind(X_73,$fot(X_76))]]) ).

cnf(refute_0_53,plain,
    is_a_theorem(implies(implies(implies(X_74,X_75),implies(implies(X_76,X_75),implies(X_75,X_75))),implies(U,implies(implies(X_76,X_75),implies(X_75,X_75))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_76,X_75),implies(X_75,X_75)),X_75),implies(X_74,X_75))) )],[refute_0_52,refute_0_43]) ).

cnf(refute_0_54,plain,
    is_a_theorem(implies(implies(implies(X_483,X_483),implies(implies(X_484,X_483),implies(X_483,X_483))),implies(U,implies(implies(X_484,X_483),implies(X_483,X_483))))),
    inference(subst,[],[refute_0_53:[bind(X_74,$fot(X_483)),bind(X_75,$fot(X_483)),bind(X_76,$fot(X_484))]]) ).

cnf(refute_0_55,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_45,X_45),implies(implies(X_46,X_45),implies(X_45,X_45))),X_44))
    | ~ is_a_theorem(implies(implies(implies(implies(X_45,X_45),implies(implies(X_46,X_45),implies(X_45,X_45))),X_44),implies(X_43,X_44)))
    | is_a_theorem(implies(X_43,X_44)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_45,X_45),implies(implies(X_46,X_45),implies(X_45,X_45))),X_44))),bind(Y,$fot(implies(X_43,X_44)))]]) ).

cnf(refute_0_56,plain,
    is_a_theorem(implies(implies(implies(implies(X_45,X_45),implies(implies(X_46,X_45),implies(X_45,X_45))),X_44),implies(X_43,X_44))),
    inference(subst,[],[refute_0_21:[bind(U,$fot(X_43)),bind(X,$fot(X_44)),bind(X_36,$fot(X_45)),bind(X_37,$fot(X_46))]]) ).

cnf(refute_0_57,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_45,X_45),implies(implies(X_46,X_45),implies(X_45,X_45))),X_44))
    | is_a_theorem(implies(X_43,X_44)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_45,X_45),implies(implies(X_46,X_45),implies(X_45,X_45))),X_44),implies(X_43,X_44))) )],[refute_0_56,refute_0_55]) ).

cnf(refute_0_58,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_483,X_483),implies(implies(X_484,X_483),implies(X_483,X_483))),implies(U,implies(implies(X_484,X_483),implies(X_483,X_483)))))
    | is_a_theorem(implies(X_481,implies(U,implies(implies(X_484,X_483),implies(X_483,X_483))))) ),
    inference(subst,[],[refute_0_57:[bind(X_43,$fot(X_481)),bind(X_44,$fot(implies(U,implies(implies(X_484,X_483),implies(X_483,X_483))))),bind(X_45,$fot(X_483)),bind(X_46,$fot(X_484))]]) ).

cnf(refute_0_59,plain,
    is_a_theorem(implies(X_481,implies(U,implies(implies(X_484,X_483),implies(X_483,X_483))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_483,X_483),implies(implies(X_484,X_483),implies(X_483,X_483))),implies(U,implies(implies(X_484,X_483),implies(X_483,X_483))))) )],[refute_0_54,refute_0_58]) ).

cnf(refute_0_60,plain,
    is_a_theorem(implies(X_486,implies(X_485,implies(implies(X_488,X_487),implies(X_487,X_487))))),
    inference(subst,[],[refute_0_59:[bind(U,$fot(X_485)),bind(X_481,$fot(X_486)),bind(X_483,$fot(X_487)),bind(X_484,$fot(X_488))]]) ).

cnf(refute_0_61,plain,
    ( ~ is_a_theorem(X_486)
    | is_a_theorem(implies(X_485,implies(implies(X_488,X_487),implies(X_487,X_487)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_486,implies(X_485,implies(implies(X_488,X_487),implies(X_487,X_487))))) )],[refute_0_60,refute_0_42]) ).

cnf(refute_0_62,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))
    | is_a_theorem(implies(X_498,implies(implies(X_501,X_500),implies(X_500,X_500)))) ),
    inference(subst,[],[refute_0_61:[bind(X_485,$fot(X_498)),bind(X_486,$fot(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))),bind(X_487,$fot(X_500)),bind(X_488,$fot(X_501))]]) ).

cnf(refute_0_63,plain,
    is_a_theorem(implies(X_498,implies(implies(X_501,X_500),implies(X_500,X_500)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83))) )],[refute_0_36,refute_0_62]) ).

cnf(refute_0_64,plain,
    is_a_theorem(implies(X_502,implies(implies(X_504,X_503),implies(X_503,X_503)))),
    inference(subst,[],[refute_0_63:[bind(X_498,$fot(X_502)),bind(X_500,$fot(X_503)),bind(X_501,$fot(X_504))]]) ).

cnf(refute_0_65,plain,
    ( ~ is_a_theorem(X_502)
    | is_a_theorem(implies(implies(X_504,X_503),implies(X_503,X_503))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_502,implies(implies(X_504,X_503),implies(X_503,X_503)))) )],[refute_0_64,refute_0_41]) ).

cnf(refute_0_66,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))
    | is_a_theorem(implies(implies(X_527,X_526),implies(X_526,X_526))) ),
    inference(subst,[],[refute_0_65:[bind(X_502,$fot(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))),bind(X_503,$fot(X_526)),bind(X_504,$fot(X_527))]]) ).

cnf(refute_0_67,plain,
    is_a_theorem(implies(implies(X_527,X_526),implies(X_526,X_526))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83))) )],[refute_0_36,refute_0_66]) ).

cnf(refute_0_68,plain,
    is_a_theorem(implies(implies(X_529,X_528),implies(X_528,X_528))),
    inference(subst,[],[refute_0_67:[bind(X_526,$fot(X_528)),bind(X_527,$fot(X_529))]]) ).

cnf(refute_0_69,plain,
    ( ~ is_a_theorem(implies(X_529,X_528))
    | is_a_theorem(implies(X_528,X_528)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_529,X_528),implies(X_528,X_528))) )],[refute_0_68,refute_0_40]) ).

cnf(refute_0_70,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))
    | is_a_theorem(implies(implies(U,X_83),implies(U,X_83))) ),
    inference(subst,[],[refute_0_69:[bind(X_528,$fot(implies(U,X_83))),bind(X_529,$fot(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83)))]]) ).

cnf(refute_0_71,plain,
    is_a_theorem(implies(implies(U,X_83),implies(U,X_83))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83))) )],[refute_0_36,refute_0_70]) ).

cnf(refute_0_72,plain,
    is_a_theorem(implies(implies(X_538,X_539),implies(X_538,X_539))),
    inference(subst,[],[refute_0_71:[bind(U,$fot(X_538)),bind(X_83,$fot(X_539))]]) ).

cnf(refute_0_73,plain,
    is_a_theorem(implies(implies(implies(X_538,X_539),X_538),implies(U,X_538))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_538,X_539),implies(X_538,X_539))) )],[refute_0_72,refute_0_39]) ).

cnf(refute_0_74,plain,
    is_a_theorem(implies(implies(implies(implies(X_10,X_540),X_540),implies(X_10,X_540)),implies(X_540,implies(X_10,X_540)))),
    inference(subst,[],[refute_0_73:[bind(U,$fot(X_540)),bind(X_538,$fot(implies(X_10,X_540))),bind(X_539,$fot(X_540))]]) ).

cnf(refute_0_75,plain,
    is_a_theorem(implies(X_13,implies(X_540,implies(X_10,X_540)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_10,X_540),X_540),implies(X_10,X_540)),implies(X_540,implies(X_10,X_540)))) )],[refute_0_74,refute_0_38]) ).

cnf(refute_0_76,plain,
    is_a_theorem(implies(X_544,implies(X_545,implies(X_543,X_545)))),
    inference(subst,[],[refute_0_75:[bind(X_10,$fot(X_543)),bind(X_13,$fot(X_544)),bind(X_540,$fot(X_545))]]) ).

cnf(refute_0_77,plain,
    ( ~ is_a_theorem(X_544)
    | is_a_theorem(implies(X_545,implies(X_543,X_545))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_544,implies(X_545,implies(X_543,X_545)))) )],[refute_0_76,refute_0_37]) ).

cnf(refute_0_78,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))
    | is_a_theorem(implies(X_577,implies(X_575,X_577))) ),
    inference(subst,[],[refute_0_77:[bind(X_543,$fot(X_575)),bind(X_544,$fot(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))),bind(X_545,$fot(X_577))]]) ).

cnf(refute_0_79,plain,
    is_a_theorem(implies(X_577,implies(X_575,X_577))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83))) )],[refute_0_36,refute_0_78]) ).

cnf(refute_0_80,plain,
    is_a_theorem(implies(X_579,implies(X_578,X_579))),
    inference(subst,[],[refute_0_79:[bind(X_575,$fot(X_578)),bind(X_577,$fot(X_579))]]) ).

cnf(refute_0_81,plain,
    ( ~ is_a_theorem(X_579)
    | is_a_theorem(implies(X_578,X_579)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_579,implies(X_578,X_579))) )],[refute_0_80,refute_0_6]) ).

cnf(refute_0_82,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1533,X_1531),implies(X_1530,X_1531)),X_1532),implies(X_1531,X_1532)),X_1529),implies(X_1528,X_1529)),X_1527),implies(X_1526,X_1527)))
    | is_a_theorem(implies(X_578,implies(implies(implies(implies(implies(implies(implies(implies(X_1533,X_1531),implies(X_1530,X_1531)),X_1532),implies(X_1531,X_1532)),X_1529),implies(X_1528,X_1529)),X_1527),implies(X_1526,X_1527)))) ),
    inference(subst,[],[refute_0_81:[bind(X_579,$fot(implies(implies(implies(implies(implies(implies(implies(implies(X_1533,X_1531),implies(X_1530,X_1531)),X_1532),implies(X_1531,X_1532)),X_1529),implies(X_1528,X_1529)),X_1527),implies(X_1526,X_1527))))]]) ).

cnf(refute_0_83,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_1517,X_1515),implies(X_1514,X_1515)),X_1516),implies(X_1515,X_1516)),X_1513),implies(X_1512,X_1513))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1517,X_1515),implies(X_1514,X_1515)),X_1516),implies(X_1515,X_1516)),X_1513),implies(X_1512,X_1513)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(implies(implies(implies(X_1517,X_1515),implies(X_1514,X_1515)),X_1516),implies(X_1515,X_1516)),X_1513),implies(X_1512,X_1513))))]]) ).

cnf(refute_0_84,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_888,X_886),implies(X_885,X_886)),X_887),implies(X_886,X_887)),X_884),implies(X_883,X_884)))
    | is_a_theorem(implies(X_578,implies(implies(implies(implies(implies(implies(X_888,X_886),implies(X_885,X_886)),X_887),implies(X_886,X_887)),X_884),implies(X_883,X_884)))) ),
    inference(subst,[],[refute_0_81:[bind(X_579,$fot(implies(implies(implies(implies(implies(implies(X_888,X_886),implies(X_885,X_886)),X_887),implies(X_886,X_887)),X_884),implies(X_883,X_884))))]]) ).

cnf(refute_0_85,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870))))]]) ).

cnf(refute_0_86,plain,
    is_a_theorem(implies(implies(implies(X_864,Y),implies(implies(X_866,X_863),implies(X_862,X_863))),implies(implies(implies(implies(X_866,X_863),implies(X_862,X_863)),X_864),implies(X_863,X_864)))),
    inference(subst,[],[ic_JLukasiewicz:[bind(U,$fot(X_863)),bind(X,$fot(X_864)),bind(Z,$fot(implies(implies(X_866,X_863),implies(X_862,X_863))))]]) ).

cnf(refute_0_87,plain,
    ( ~ is_a_theorem(implies(implies(X_22,implies(implies(X_27,X_24),implies(X_23,X_24))),implies(X_26,implies(X_24,X_25))))
    | ~ is_a_theorem(implies(implies(implies(X_22,implies(implies(X_27,X_24),implies(X_23,X_24))),implies(X_26,implies(X_24,X_25))),implies(X_21,implies(X_26,implies(X_24,X_25)))))
    | is_a_theorem(implies(X_21,implies(X_26,implies(X_24,X_25)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_22,implies(implies(X_27,X_24),implies(X_23,X_24))),implies(X_26,implies(X_24,X_25))))),bind(Y,$fot(implies(X_21,implies(X_26,implies(X_24,X_25)))))]]) ).

cnf(refute_0_88,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17)))))
    | is_a_theorem(implies(implies(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_19,implies(X_17,X_18))),implies(U,implies(X_19,implies(X_17,X_18))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_19,implies(X_17,X_18)))),bind(Y,$fot(implies(implies(X_20,X_17),implies(X_16,X_17)))),bind(Z,$fot(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17)))))]]) ).

cnf(refute_0_89,plain,
    is_a_theorem(implies(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))))),
    inference(subst,[],[refute_0_14:[bind(U,$fot(X_15)),bind(X_10,$fot(X_16)),bind(X_11,$fot(X_17)),bind(X_12,$fot(X_18)),bind(X_13,$fot(X_19)),bind(X_14,$fot(X_20))]]) ).

cnf(refute_0_90,plain,
    is_a_theorem(implies(implies(implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_19,implies(X_17,X_18))),implies(U,implies(X_19,implies(X_17,X_18))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_19,implies(X_17,X_18)),implies(implies(X_20,X_17),implies(X_16,X_17))),implies(X_15,implies(implies(X_20,X_17),implies(X_16,X_17))))) )],[refute_0_89,refute_0_88]) ).

cnf(refute_0_91,plain,
    is_a_theorem(implies(implies(implies(X_22,implies(implies(X_27,X_24),implies(X_23,X_24))),implies(X_26,implies(X_24,X_25))),implies(X_21,implies(X_26,implies(X_24,X_25))))),
    inference(subst,[],[refute_0_90:[bind(U,$fot(X_21)),bind(X_15,$fot(X_22)),bind(X_16,$fot(X_23)),bind(X_17,$fot(X_24)),bind(X_18,$fot(X_25)),bind(X_19,$fot(X_26)),bind(X_20,$fot(X_27))]]) ).

cnf(refute_0_92,plain,
    ( ~ is_a_theorem(implies(implies(X_22,implies(implies(X_27,X_24),implies(X_23,X_24))),implies(X_26,implies(X_24,X_25))))
    | is_a_theorem(implies(X_21,implies(X_26,implies(X_24,X_25)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_22,implies(implies(X_27,X_24),implies(X_23,X_24))),implies(X_26,implies(X_24,X_25))),implies(X_21,implies(X_26,implies(X_24,X_25))))) )],[refute_0_91,refute_0_87]) ).

cnf(refute_0_93,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_864,Y),implies(implies(X_866,X_863),implies(X_862,X_863))),implies(implies(implies(implies(X_866,X_863),implies(X_862,X_863)),X_864),implies(X_863,X_864))))
    | is_a_theorem(implies(X_860,implies(implies(implies(implies(X_866,X_863),implies(X_862,X_863)),X_864),implies(X_863,X_864)))) ),
    inference(subst,[],[refute_0_92:[bind(X_21,$fot(X_860)),bind(X_22,$fot(implies(X_864,Y))),bind(X_23,$fot(X_862)),bind(X_24,$fot(X_863)),bind(X_25,$fot(X_864)),bind(X_26,$fot(implies(implies(implies(X_866,X_863),implies(X_862,X_863)),X_864))),bind(X_27,$fot(X_866))]]) ).

cnf(refute_0_94,plain,
    is_a_theorem(implies(X_860,implies(implies(implies(implies(X_866,X_863),implies(X_862,X_863)),X_864),implies(X_863,X_864)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_864,Y),implies(implies(X_866,X_863),implies(X_862,X_863))),implies(implies(implies(implies(X_866,X_863),implies(X_862,X_863)),X_864),implies(X_863,X_864)))) )],[refute_0_86,refute_0_93]) ).

cnf(refute_0_95,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870)))),
    inference(subst,[],[refute_0_94:[bind(X_860,$fot(implies(X,Y))),bind(X_862,$fot(X_868)),bind(X_863,$fot(X_869)),bind(X_864,$fot(X_870)),bind(X_866,$fot(X_871))]]) ).

cnf(refute_0_96,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870)))) )],[refute_0_95,refute_0_85]) ).

cnf(refute_0_97,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_888,X_886),implies(X_885,X_886)),X_887),implies(X_886,X_887)),X_884),implies(X_883,X_884))),
    inference(subst,[],[refute_0_96:[bind(U,$fot(X_883)),bind(X,$fot(X_884)),bind(X_868,$fot(X_885)),bind(X_869,$fot(X_886)),bind(X_870,$fot(X_887)),bind(X_871,$fot(X_888))]]) ).

cnf(refute_0_98,plain,
    is_a_theorem(implies(X_578,implies(implies(implies(implies(implies(implies(X_888,X_886),implies(X_885,X_886)),X_887),implies(X_886,X_887)),X_884),implies(X_883,X_884)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_888,X_886),implies(X_885,X_886)),X_887),implies(X_886,X_887)),X_884),implies(X_883,X_884))) )],[refute_0_97,refute_0_84]) ).

cnf(refute_0_99,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_1517,X_1515),implies(X_1514,X_1515)),X_1516),implies(X_1515,X_1516)),X_1513),implies(X_1512,X_1513)))),
    inference(subst,[],[refute_0_98:[bind(X_578,$fot(implies(X,Y))),bind(X_883,$fot(X_1512)),bind(X_884,$fot(X_1513)),bind(X_885,$fot(X_1514)),bind(X_886,$fot(X_1515)),bind(X_887,$fot(X_1516)),bind(X_888,$fot(X_1517))]]) ).

cnf(refute_0_100,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1517,X_1515),implies(X_1514,X_1515)),X_1516),implies(X_1515,X_1516)),X_1513),implies(X_1512,X_1513)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_1517,X_1515),implies(X_1514,X_1515)),X_1516),implies(X_1515,X_1516)),X_1513),implies(X_1512,X_1513)))) )],[refute_0_99,refute_0_83]) ).

cnf(refute_0_101,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1533,X_1531),implies(X_1530,X_1531)),X_1532),implies(X_1531,X_1532)),X_1529),implies(X_1528,X_1529)),X_1527),implies(X_1526,X_1527))),
    inference(subst,[],[refute_0_100:[bind(U,$fot(X_1526)),bind(X,$fot(X_1527)),bind(X_1512,$fot(X_1528)),bind(X_1513,$fot(X_1529)),bind(X_1514,$fot(X_1530)),bind(X_1515,$fot(X_1531)),bind(X_1516,$fot(X_1532)),bind(X_1517,$fot(X_1533))]]) ).

cnf(refute_0_102,plain,
    is_a_theorem(implies(X_578,implies(implies(implies(implies(implies(implies(implies(implies(X_1533,X_1531),implies(X_1530,X_1531)),X_1532),implies(X_1531,X_1532)),X_1529),implies(X_1528,X_1529)),X_1527),implies(X_1526,X_1527)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_1533,X_1531),implies(X_1530,X_1531)),X_1532),implies(X_1531,X_1532)),X_1529),implies(X_1528,X_1529)),X_1527),implies(X_1526,X_1527))) )],[refute_0_101,refute_0_82]) ).

cnf(refute_0_103,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)))),
    inference(subst,[],[refute_0_102:[bind(X_1526,$fot(X_5322)),bind(X_1527,$fot(X_5323)),bind(X_1528,$fot(X_5324)),bind(X_1529,$fot(X_5325)),bind(X_1530,$fot(X_5326)),bind(X_1531,$fot(X_5327)),bind(X_1532,$fot(X_5328)),bind(X_1533,$fot(X_5329)),bind(X_578,$fot(implies(X,Y)))]]) ).

cnf(refute_0_104,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)))) )],[refute_0_103,refute_0_5]) ).

cnf(refute_0_105,plain,
    ( ~ is_a_theorem(X_6468)
    | ~ is_a_theorem(implies(X_6468,implies(implies(implies(X_6467,X_6467),X_6469),X_6469)))
    | is_a_theorem(implies(implies(implies(X_6467,X_6467),X_6469),X_6469)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_6468)),bind(Y,$fot(implies(implies(implies(X_6467,X_6467),X_6469),X_6469)))]]) ).

cnf(refute_0_106,plain,
    ( ~ is_a_theorem(implies(implies(X_529,X_528),implies(X_528,X_528)))
    | is_a_theorem(implies(implies(implies(X_528,X_528),X_529),implies(U,X_529))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_529)),bind(Y,$fot(X_528)),bind(Z,$fot(implies(X_528,X_528)))]]) ).

cnf(refute_0_107,plain,
    is_a_theorem(implies(implies(implies(X_528,X_528),X_529),implies(U,X_529))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_529,X_528),implies(X_528,X_528))) )],[refute_0_68,refute_0_106]) ).

cnf(refute_0_108,plain,
    is_a_theorem(implies(implies(implies(X_528,X_528),X_6466),implies(implies(implies(X_528,X_528),X_6466),X_6466))),
    inference(subst,[],[refute_0_107:[bind(U,$fot(implies(implies(X_528,X_528),X_6466))),bind(X_529,$fot(X_6466))]]) ).

cnf(refute_0_109,plain,
    ( ~ is_a_theorem(implies(implies(X_6444,X_6445),implies(implies(X_6444,X_6445),X_6446)))
    | ~ is_a_theorem(implies(implies(implies(X_6444,X_6445),implies(implies(X_6444,X_6445),X_6446)),implies(X_6443,implies(implies(X_6444,X_6445),X_6446))))
    | is_a_theorem(implies(X_6443,implies(implies(X_6444,X_6445),X_6446))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_6444,X_6445),implies(implies(X_6444,X_6445),X_6446)))),bind(Y,$fot(implies(X_6443,implies(implies(X_6444,X_6445),X_6446))))]]) ).

cnf(refute_0_110,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_6413,X_6414),X_6415),X_6414),implies(X_6413,X_6414)))
    | is_a_theorem(implies(implies(implies(X_6413,X_6414),implies(implies(X_6413,X_6414),X_6415)),implies(U,implies(implies(X_6413,X_6414),X_6415)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(implies(X_6413,X_6414),X_6415))),bind(Y,$fot(X_6414)),bind(Z,$fot(implies(X_6413,X_6414)))]]) ).

cnf(refute_0_111,plain,
    ( ~ is_a_theorem(X_6311)
    | ~ is_a_theorem(implies(X_6311,implies(implies(implies(implies(X_6309,X_6310),X_6312),X_6310),implies(X_6309,X_6310))))
    | is_a_theorem(implies(implies(implies(implies(X_6309,X_6310),X_6312),X_6310),implies(X_6309,X_6310))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_6311)),bind(Y,$fot(implies(implies(implies(implies(X_6309,X_6310),X_6312),X_6310),implies(X_6309,X_6310))))]]) ).

cnf(refute_0_112,plain,
    is_a_theorem(implies(implies(implies(X,Y),implies(implies(U,X),X_6308)),implies(implies(implies(implies(U,X),X_6308),X),implies(U,X)))),
    inference(subst,[],[ic_JLukasiewicz:[bind(Z,$fot(implies(implies(U,X),X_6308)))]]) ).

cnf(refute_0_113,plain,
    ( ~ is_a_theorem(implies(implies(X_770,implies(X_772,X_773)),implies(X_771,X_772)))
    | ~ is_a_theorem(implies(implies(implies(X_770,implies(X_772,X_773)),implies(X_771,X_772)),implies(X_769,implies(X_771,X_772))))
    | is_a_theorem(implies(X_769,implies(X_771,X_772))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_770,implies(X_772,X_773)),implies(X_771,X_772)))),bind(Y,$fot(implies(X_769,implies(X_771,X_772))))]]) ).

cnf(refute_0_114,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_671,X_672),implies(X_672,X_673)),implies(X_670,implies(X_672,X_673))))
    | is_a_theorem(implies(implies(implies(X_670,implies(X_672,X_673)),implies(X_671,X_672)),implies(U,implies(X_671,X_672)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_671,X_672))),bind(Y,$fot(implies(X_672,X_673))),bind(Z,$fot(implies(X_670,implies(X_672,X_673))))]]) ).

cnf(refute_0_115,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_541,X_542),X_541),implies(X_540,X_541)))
    | is_a_theorem(implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(U,implies(X_541,X_542)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_541,X_542))),bind(Y,$fot(X_541)),bind(Z,$fot(implies(X_540,X_541)))]]) ).

cnf(refute_0_116,plain,
    is_a_theorem(implies(implies(implies(X_541,X_542),X_541),implies(X_540,X_541))),
    inference(subst,[],[refute_0_73:[bind(U,$fot(X_540)),bind(X_538,$fot(X_541)),bind(X_539,$fot(X_542))]]) ).

cnf(refute_0_117,plain,
    is_a_theorem(implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(U,implies(X_541,X_542)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_541,X_542),X_541),implies(X_540,X_541))) )],[refute_0_116,refute_0_115]) ).

cnf(refute_0_118,plain,
    is_a_theorem(implies(implies(implies(X_671,X_672),implies(X_672,X_673)),implies(X_670,implies(X_672,X_673)))),
    inference(subst,[],[refute_0_117:[bind(U,$fot(X_670)),bind(X_540,$fot(X_671)),bind(X_541,$fot(X_672)),bind(X_542,$fot(X_673))]]) ).

cnf(refute_0_119,plain,
    is_a_theorem(implies(implies(implies(X_670,implies(X_672,X_673)),implies(X_671,X_672)),implies(U,implies(X_671,X_672)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_671,X_672),implies(X_672,X_673)),implies(X_670,implies(X_672,X_673)))) )],[refute_0_118,refute_0_114]) ).

cnf(refute_0_120,plain,
    is_a_theorem(implies(implies(implies(X_770,implies(X_772,X_773)),implies(X_771,X_772)),implies(X_769,implies(X_771,X_772)))),
    inference(subst,[],[refute_0_119:[bind(U,$fot(X_769)),bind(X_670,$fot(X_770)),bind(X_671,$fot(X_771)),bind(X_672,$fot(X_772)),bind(X_673,$fot(X_773))]]) ).

cnf(refute_0_121,plain,
    ( ~ is_a_theorem(implies(implies(X_770,implies(X_772,X_773)),implies(X_771,X_772)))
    | is_a_theorem(implies(X_769,implies(X_771,X_772))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_770,implies(X_772,X_773)),implies(X_771,X_772)),implies(X_769,implies(X_771,X_772)))) )],[refute_0_120,refute_0_113]) ).

cnf(refute_0_122,plain,
    ( ~ is_a_theorem(implies(implies(implies(X,Y),implies(implies(U,X),X_6308)),implies(implies(implies(implies(U,X),X_6308),X),implies(U,X))))
    | is_a_theorem(implies(X_6304,implies(implies(implies(implies(U,X),X_6308),X),implies(U,X)))) ),
    inference(subst,[],[refute_0_121:[bind(X_769,$fot(X_6304)),bind(X_770,$fot(implies(X,Y))),bind(X_771,$fot(implies(implies(implies(U,X),X_6308),X))),bind(X_772,$fot(implies(U,X))),bind(X_773,$fot(X_6308))]]) ).

cnf(refute_0_123,plain,
    is_a_theorem(implies(X_6304,implies(implies(implies(implies(U,X),X_6308),X),implies(U,X)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),implies(implies(U,X),X_6308)),implies(implies(implies(implies(U,X),X_6308),X),implies(U,X)))) )],[refute_0_112,refute_0_122]) ).

cnf(refute_0_124,plain,
    is_a_theorem(implies(X_6311,implies(implies(implies(implies(X_6309,X_6310),X_6312),X_6310),implies(X_6309,X_6310)))),
    inference(subst,[],[refute_0_123:[bind(U,$fot(X_6309)),bind(X,$fot(X_6310)),bind(X_6304,$fot(X_6311)),bind(X_6308,$fot(X_6312))]]) ).

cnf(refute_0_125,plain,
    ( ~ is_a_theorem(X_6311)
    | is_a_theorem(implies(implies(implies(implies(X_6309,X_6310),X_6312),X_6310),implies(X_6309,X_6310))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_6311,implies(implies(implies(implies(X_6309,X_6310),X_6312),X_6310),implies(X_6309,X_6310)))) )],[refute_0_124,refute_0_111]) ).

cnf(refute_0_126,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)),X),implies(U,X)))
    | is_a_theorem(implies(implies(implies(implies(X_6409,X_6410),X_6412),X_6410),implies(X_6409,X_6410))) ),
    inference(subst,[],[refute_0_125:[bind(X_6309,$fot(X_6409)),bind(X_6310,$fot(X_6410)),bind(X_6311,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)),X),implies(U,X)))),bind(X_6312,$fot(X_6412))]]) ).

cnf(refute_0_127,plain,
    is_a_theorem(implies(implies(implies(implies(X_6409,X_6410),X_6412),X_6410),implies(X_6409,X_6410))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)),X),implies(U,X))) )],[refute_0_104,refute_0_126]) ).

cnf(refute_0_128,plain,
    is_a_theorem(implies(implies(implies(implies(X_6413,X_6414),X_6415),X_6414),implies(X_6413,X_6414))),
    inference(subst,[],[refute_0_127:[bind(X_6409,$fot(X_6413)),bind(X_6410,$fot(X_6414)),bind(X_6412,$fot(X_6415))]]) ).

cnf(refute_0_129,plain,
    is_a_theorem(implies(implies(implies(X_6413,X_6414),implies(implies(X_6413,X_6414),X_6415)),implies(U,implies(implies(X_6413,X_6414),X_6415)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_6413,X_6414),X_6415),X_6414),implies(X_6413,X_6414))) )],[refute_0_128,refute_0_110]) ).

cnf(refute_0_130,plain,
    is_a_theorem(implies(implies(implies(X_6444,X_6445),implies(implies(X_6444,X_6445),X_6446)),implies(X_6443,implies(implies(X_6444,X_6445),X_6446)))),
    inference(subst,[],[refute_0_129:[bind(U,$fot(X_6443)),bind(X_6413,$fot(X_6444)),bind(X_6414,$fot(X_6445)),bind(X_6415,$fot(X_6446))]]) ).

cnf(refute_0_131,plain,
    ( ~ is_a_theorem(implies(implies(X_6444,X_6445),implies(implies(X_6444,X_6445),X_6446)))
    | is_a_theorem(implies(X_6443,implies(implies(X_6444,X_6445),X_6446))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6444,X_6445),implies(implies(X_6444,X_6445),X_6446)),implies(X_6443,implies(implies(X_6444,X_6445),X_6446)))) )],[refute_0_130,refute_0_109]) ).

cnf(refute_0_132,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_528,X_528),X_6466),implies(implies(implies(X_528,X_528),X_6466),X_6466)))
    | is_a_theorem(implies(X_6463,implies(implies(implies(X_528,X_528),X_6466),X_6466))) ),
    inference(subst,[],[refute_0_131:[bind(X_6443,$fot(X_6463)),bind(X_6444,$fot(implies(X_528,X_528))),bind(X_6445,$fot(X_6466)),bind(X_6446,$fot(X_6466))]]) ).

cnf(refute_0_133,plain,
    is_a_theorem(implies(X_6463,implies(implies(implies(X_528,X_528),X_6466),X_6466))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_528,X_528),X_6466),implies(implies(implies(X_528,X_528),X_6466),X_6466))) )],[refute_0_108,refute_0_132]) ).

cnf(refute_0_134,plain,
    is_a_theorem(implies(X_6468,implies(implies(implies(X_6467,X_6467),X_6469),X_6469))),
    inference(subst,[],[refute_0_133:[bind(X_528,$fot(X_6467)),bind(X_6463,$fot(X_6468)),bind(X_6466,$fot(X_6469))]]) ).

cnf(refute_0_135,plain,
    ( ~ is_a_theorem(X_6468)
    | is_a_theorem(implies(implies(implies(X_6467,X_6467),X_6469),X_6469)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_6468,implies(implies(implies(X_6467,X_6467),X_6469),X_6469))) )],[refute_0_134,refute_0_105]) ).

cnf(refute_0_136,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)),X),implies(U,X)))
    | is_a_theorem(implies(implies(implies(X_6621,X_6621),X_6623),X_6623)) ),
    inference(subst,[],[refute_0_135:[bind(X_6467,$fot(X_6621)),bind(X_6468,$fot(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)),X),implies(U,X)))),bind(X_6469,$fot(X_6623))]]) ).

cnf(refute_0_137,plain,
    is_a_theorem(implies(implies(implies(X_6621,X_6621),X_6623),X_6623)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(implies(implies(X_5329,X_5327),implies(X_5326,X_5327)),X_5328),implies(X_5327,X_5328)),X_5325),implies(X_5324,X_5325)),X_5323),implies(X_5322,X_5323)),X),implies(U,X))) )],[refute_0_104,refute_0_136]) ).

cnf(refute_0_138,plain,
    is_a_theorem(implies(implies(implies(X_6624,X_6624),X_6625),X_6625)),
    inference(subst,[],[refute_0_137:[bind(X_6621,$fot(X_6624)),bind(X_6623,$fot(X_6625))]]) ).

cnf(refute_0_139,plain,
    ( ~ is_a_theorem(implies(implies(X_6624,X_6624),X_6625))
    | is_a_theorem(X_6625) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6624,X_6624),X_6625),X_6625)) )],[refute_0_138,refute_0_2]) ).

cnf(refute_0_140,plain,
    ( ~ is_a_theorem(implies(implies(X_6624,X_6624),implies(implies(X_6662,implies(X_6662,X_6661)),implies(X_6662,X_6661))))
    | is_a_theorem(implies(implies(X_6662,implies(X_6662,X_6661)),implies(X_6662,X_6661))) ),
    inference(subst,[],[refute_0_139:[bind(X_6625,$fot(implies(implies(X_6662,implies(X_6662,X_6661)),implies(X_6662,X_6661))))]]) ).

cnf(refute_0_141,plain,
    ( ~ is_a_theorem(implies(implies(X_6659,implies(X_6659,X_6658)),implies(implies(X_6659,implies(X_6659,X_6658)),implies(X_6659,X_6658))))
    | is_a_theorem(implies(X_6443,implies(implies(X_6659,implies(X_6659,X_6658)),implies(X_6659,X_6658)))) ),
    inference(subst,[],[refute_0_131:[bind(X_6444,$fot(X_6659)),bind(X_6445,$fot(implies(X_6659,X_6658))),bind(X_6446,$fot(implies(X_6659,X_6658)))]]) ).

cnf(refute_0_142,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_6629,X_6628),X_6629),X_6629))
    | is_a_theorem(implies(implies(X_6629,implies(X_6629,X_6628)),implies(U,implies(X_6629,X_6628)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_6629,X_6628))),bind(Y,$fot(X_6629)),bind(Z,$fot(X_6629))]]) ).

cnf(refute_0_143,plain,
    is_a_theorem(implies(implies(implies(X_6466,X_539),X_6466),implies(implies(implies(X_6466,X_539),X_6466),X_6466))),
    inference(subst,[],[refute_0_73:[bind(U,$fot(implies(implies(X_6466,X_539),X_6466))),bind(X_538,$fot(X_6466))]]) ).

cnf(refute_0_144,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_6466,X_539),X_6466),implies(implies(implies(X_6466,X_539),X_6466),X_6466)))
    | is_a_theorem(implies(X_6463,implies(implies(implies(X_6466,X_539),X_6466),X_6466))) ),
    inference(subst,[],[refute_0_131:[bind(X_6443,$fot(X_6463)),bind(X_6444,$fot(implies(X_6466,X_539))),bind(X_6445,$fot(X_6466)),bind(X_6446,$fot(X_6466))]]) ).

cnf(refute_0_145,plain,
    is_a_theorem(implies(X_6463,implies(implies(implies(X_6466,X_539),X_6466),X_6466))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6466,X_539),X_6466),implies(implies(implies(X_6466,X_539),X_6466),X_6466))) )],[refute_0_143,refute_0_144]) ).

cnf(refute_0_146,plain,
    is_a_theorem(implies(implies(X_6626,X_6626),implies(implies(implies(X_6466,X_539),X_6466),X_6466))),
    inference(subst,[],[refute_0_145:[bind(X_6463,$fot(implies(X_6626,X_6626)))]]) ).

cnf(refute_0_147,plain,
    ( ~ is_a_theorem(implies(implies(X_6626,X_6626),implies(implies(implies(X_6466,X_539),X_6466),X_6466)))
    | is_a_theorem(implies(implies(implies(X_6466,X_539),X_6466),X_6466)) ),
    inference(subst,[],[refute_0_139:[bind(X_6624,$fot(X_6626)),bind(X_6625,$fot(implies(implies(implies(X_6466,X_539),X_6466),X_6466)))]]) ).

cnf(refute_0_148,plain,
    is_a_theorem(implies(implies(implies(X_6466,X_539),X_6466),X_6466)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6626,X_6626),implies(implies(implies(X_6466,X_539),X_6466),X_6466))) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    is_a_theorem(implies(implies(implies(X_6629,X_6628),X_6629),X_6629)),
    inference(subst,[],[refute_0_148:[bind(X_539,$fot(X_6628)),bind(X_6466,$fot(X_6629))]]) ).

cnf(refute_0_150,plain,
    is_a_theorem(implies(implies(X_6629,implies(X_6629,X_6628)),implies(U,implies(X_6629,X_6628)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6629,X_6628),X_6629),X_6629)) )],[refute_0_149,refute_0_142]) ).

cnf(refute_0_151,plain,
    is_a_theorem(implies(implies(X_6659,implies(X_6659,X_6658)),implies(implies(X_6659,implies(X_6659,X_6658)),implies(X_6659,X_6658)))),
    inference(subst,[],[refute_0_150:[bind(U,$fot(implies(X_6659,implies(X_6659,X_6658)))),bind(X_6628,$fot(X_6658)),bind(X_6629,$fot(X_6659))]]) ).

cnf(refute_0_152,plain,
    is_a_theorem(implies(X_6443,implies(implies(X_6659,implies(X_6659,X_6658)),implies(X_6659,X_6658)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6659,implies(X_6659,X_6658)),implies(implies(X_6659,implies(X_6659,X_6658)),implies(X_6659,X_6658)))) )],[refute_0_151,refute_0_141]) ).

cnf(refute_0_153,plain,
    is_a_theorem(implies(implies(X_6624,X_6624),implies(implies(X_6662,implies(X_6662,X_6661)),implies(X_6662,X_6661)))),
    inference(subst,[],[refute_0_152:[bind(X_6443,$fot(implies(X_6624,X_6624))),bind(X_6658,$fot(X_6661)),bind(X_6659,$fot(X_6662))]]) ).

cnf(refute_0_154,plain,
    is_a_theorem(implies(implies(X_6662,implies(X_6662,X_6661)),implies(X_6662,X_6661))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6624,X_6624),implies(implies(X_6662,implies(X_6662,X_6661)),implies(X_6662,X_6661)))) )],[refute_0_153,refute_0_140]) ).

cnf(refute_0_155,plain,
    is_a_theorem(implies(implies(X_6664,implies(X_6664,X_6663)),implies(X_6664,X_6663))),
    inference(subst,[],[refute_0_154:[bind(X_6661,$fot(X_6663)),bind(X_6662,$fot(X_6664))]]) ).

cnf(refute_0_156,plain,
    ( ~ is_a_theorem(implies(X_6664,implies(X_6664,X_6663)))
    | is_a_theorem(implies(X_6664,X_6663)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6664,implies(X_6664,X_6663)),implies(X_6664,X_6663))) )],[refute_0_155,refute_0_1]) ).

cnf(refute_0_157,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466),implies(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466),X_51466)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466),X_51466)) ),
    inference(subst,[],[refute_0_156:[bind(X_6663,$fot(X_51466)),bind(X_6664,$fot(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466)))]]) ).

cnf(refute_0_158,plain,
    ( ~ is_a_theorem(X_11806)
    | ~ is_a_theorem(implies(X_11806,implies(implies(X_11806,X_11805),implies(X_11804,X_11805))))
    | is_a_theorem(implies(implies(X_11806,X_11805),implies(X_11804,X_11805))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_11806)),bind(Y,$fot(implies(implies(X_11806,X_11805),implies(X_11804,X_11805))))]]) ).

cnf(refute_0_159,plain,
    is_a_theorem(implies(implies(implies(X,Y),X_11803),implies(implies(X_11803,X),implies(U,X)))),
    inference(subst,[],[ic_JLukasiewicz:[bind(Z,$fot(X_11803))]]) ).

cnf(refute_0_160,plain,
    ( ~ is_a_theorem(implies(implies(X_8951,X_8953),X_8952))
    | ~ is_a_theorem(implies(implies(implies(X_8951,X_8953),X_8952),implies(X_8953,X_8952)))
    | is_a_theorem(implies(X_8953,X_8952)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_8951,X_8953),X_8952))),bind(Y,$fot(implies(X_8953,X_8952)))]]) ).

cnf(refute_0_161,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),X_7327))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),X_7327),X_7327))
    | is_a_theorem(X_7327) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),X_7327))),bind(Y,$fot(X_7327))]]) ).

cnf(refute_0_162,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323),implies(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323),X_7323)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323),X_7323)) ),
    inference(subst,[],[refute_0_156:[bind(X_6663,$fot(X_7323)),bind(X_6664,$fot(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323)))]]) ).

cnf(refute_0_163,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_6478,X_6479),implies(X_6479,X_6480)),implies(X_6479,X_6480))))
    | is_a_theorem(implies(implies(implies(implies(implies(X_6478,X_6479),implies(X_6479,X_6480)),implies(X_6479,X_6480)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(X_6478,X_6479),implies(X_6479,X_6480)),implies(X_6479,X_6480))))]]) ).

cnf(refute_0_164,plain,
    is_a_theorem(implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(X_541,X_542)))),
    inference(subst,[],[refute_0_117:[bind(U,$fot(implies(implies(X_540,X_541),implies(X_541,X_542))))]]) ).

cnf(refute_0_165,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(X_541,X_542))))
    | is_a_theorem(implies(X_6463,implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(X_541,X_542)))) ),
    inference(subst,[],[refute_0_131:[bind(X_6443,$fot(X_6463)),bind(X_6444,$fot(implies(X_540,X_541))),bind(X_6445,$fot(implies(X_541,X_542))),bind(X_6446,$fot(implies(X_541,X_542)))]]) ).

cnf(refute_0_166,plain,
    is_a_theorem(implies(X_6463,implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(X_541,X_542)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(implies(implies(X_540,X_541),implies(X_541,X_542)),implies(X_541,X_542)))) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_6478,X_6479),implies(X_6479,X_6480)),implies(X_6479,X_6480)))),
    inference(subst,[],[refute_0_166:[bind(X_540,$fot(X_6478)),bind(X_541,$fot(X_6479)),bind(X_542,$fot(X_6480)),bind(X_6463,$fot(implies(X,Y)))]]) ).

cnf(refute_0_168,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_6478,X_6479),implies(X_6479,X_6480)),implies(X_6479,X_6480)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_6478,X_6479),implies(X_6479,X_6480)),implies(X_6479,X_6480)))) )],[refute_0_167,refute_0_163]) ).

cnf(refute_0_169,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323),implies(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323),X_7323))),
    inference(subst,[],[refute_0_168:[bind(U,$fot(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323))),bind(X,$fot(X_7323)),bind(X_6478,$fot(X_7324)),bind(X_6479,$fot(X_7325)),bind(X_6480,$fot(X_7326))]]) ).

cnf(refute_0_170,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323),X_7323)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323),implies(implies(implies(implies(implies(X_7324,X_7325),implies(X_7325,X_7326)),implies(X_7325,X_7326)),X_7323),X_7323))) )],[refute_0_169,refute_0_162]) ).

cnf(refute_0_171,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),X_7327),X_7327)),
    inference(subst,[],[refute_0_170:[bind(X_7323,$fot(X_7327)),bind(X_7324,$fot(X_7328)),bind(X_7325,$fot(X_7329)),bind(X_7326,$fot(X_7330))]]) ).

cnf(refute_0_172,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),X_7327))
    | is_a_theorem(X_7327) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),X_7327),X_7327)) )],[refute_0_171,refute_0_161]) ).

cnf(refute_0_173,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),implies(implies(implies(X_8948,X_8950),X_8949),implies(X_8950,X_8949))))
    | is_a_theorem(implies(implies(implies(X_8948,X_8950),X_8949),implies(X_8950,X_8949))) ),
    inference(subst,[],[refute_0_172:[bind(X_7327,$fot(implies(implies(implies(X_8948,X_8950),X_8949),implies(X_8950,X_8949))))]]) ).

cnf(refute_0_174,plain,
    ( ~ is_a_theorem(implies(implies(X_1287,implies(implies(implies(X_1286,X_1287),X_1288),implies(X_1285,X_1288))),X_1284))
    | ~ is_a_theorem(implies(implies(implies(X_1287,implies(implies(implies(X_1286,X_1287),X_1288),implies(X_1285,X_1288))),X_1284),implies(X_1283,X_1284)))
    | is_a_theorem(implies(X_1283,X_1284)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1287,implies(implies(implies(X_1286,X_1287),X_1288),implies(X_1285,X_1288))),X_1284))),bind(Y,$fot(implies(X_1283,X_1284)))]]) ).

cnf(refute_0_175,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(X_994,implies(implies(implies(X_993,X_994),X_995),implies(X_992,X_995)))))
    | is_a_theorem(implies(implies(implies(X_994,implies(implies(implies(X_993,X_994),X_995),implies(X_992,X_995))),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(X_994,implies(implies(implies(X_993,X_994),X_995),implies(X_992,X_995)))))]]) ).

cnf(refute_0_176,plain,
    ( ~ is_a_theorem(implies(X_985,implies(implies(implies(X_984,X_985),X_986),implies(X_983,X_986))))
    | is_a_theorem(implies(X_578,implies(X_985,implies(implies(implies(X_984,X_985),X_986),implies(X_983,X_986))))) ),
    inference(subst,[],[refute_0_81:[bind(X_579,$fot(implies(X_985,implies(implies(implies(X_984,X_985),X_986),implies(X_983,X_986)))))]]) ).

cnf(refute_0_177,plain,
    is_a_theorem(implies(implies(implies(X_975,X_973),implies(X_972,X_973)),implies(implies(implies(X_972,X_973),X_975),implies(U,X_975)))),
    inference(subst,[],[ic_JLukasiewicz:[bind(X,$fot(X_975)),bind(Y,$fot(X_973)),bind(Z,$fot(implies(X_972,X_973)))]]) ).

cnf(refute_0_178,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_966,X_964),implies(X_963,X_964)),X_965))
    | ~ is_a_theorem(implies(implies(implies(implies(X_966,X_964),implies(X_963,X_964)),X_965),implies(X_964,X_965)))
    | is_a_theorem(implies(X_964,X_965)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_966,X_964),implies(X_963,X_964)),X_965))),bind(Y,$fot(implies(X_964,X_965)))]]) ).

cnf(refute_0_179,plain,
    ( ~ is_a_theorem(X_867)
    | ~ is_a_theorem(implies(X_867,implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870))))
    | is_a_theorem(implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_867)),bind(Y,$fot(implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870))))]]) ).

cnf(refute_0_180,plain,
    is_a_theorem(implies(X_867,implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870)))),
    inference(subst,[],[refute_0_94:[bind(X_860,$fot(X_867)),bind(X_862,$fot(X_868)),bind(X_863,$fot(X_869)),bind(X_864,$fot(X_870)),bind(X_866,$fot(X_871))]]) ).

cnf(refute_0_181,plain,
    ( ~ is_a_theorem(X_867)
    | is_a_theorem(implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_867,implies(implies(implies(implies(X_871,X_869),implies(X_868,X_869)),X_870),implies(X_869,X_870)))) )],[refute_0_180,refute_0_179]) ).

cnf(refute_0_182,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))
    | is_a_theorem(implies(implies(implies(implies(X_962,X_960),implies(X_959,X_960)),X_961),implies(X_960,X_961))) ),
    inference(subst,[],[refute_0_181:[bind(X_867,$fot(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83)))),bind(X_868,$fot(X_959)),bind(X_869,$fot(X_960)),bind(X_870,$fot(X_961)),bind(X_871,$fot(X_962))]]) ).

cnf(refute_0_183,plain,
    is_a_theorem(implies(implies(implies(implies(X_962,X_960),implies(X_959,X_960)),X_961),implies(X_960,X_961))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_85,X_85),implies(implies(X_86,X_85),implies(X_85,X_85))),X_84),implies(X_83,X_84)),X_83),implies(U,X_83))) )],[refute_0_36,refute_0_182]) ).

cnf(refute_0_184,plain,
    is_a_theorem(implies(implies(implies(implies(X_966,X_964),implies(X_963,X_964)),X_965),implies(X_964,X_965))),
    inference(subst,[],[refute_0_183:[bind(X_959,$fot(X_963)),bind(X_960,$fot(X_964)),bind(X_961,$fot(X_965)),bind(X_962,$fot(X_966))]]) ).

cnf(refute_0_185,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_966,X_964),implies(X_963,X_964)),X_965))
    | is_a_theorem(implies(X_964,X_965)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_966,X_964),implies(X_963,X_964)),X_965),implies(X_964,X_965))) )],[refute_0_184,refute_0_178]) ).

cnf(refute_0_186,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_975,X_973),implies(X_972,X_973)),implies(implies(implies(X_972,X_973),X_975),implies(U,X_975))))
    | is_a_theorem(implies(X_973,implies(implies(implies(X_972,X_973),X_975),implies(U,X_975)))) ),
    inference(subst,[],[refute_0_185:[bind(X_963,$fot(X_972)),bind(X_964,$fot(X_973)),bind(X_965,$fot(implies(implies(implies(X_972,X_973),X_975),implies(U,X_975)))),bind(X_966,$fot(X_975))]]) ).

cnf(refute_0_187,plain,
    is_a_theorem(implies(X_973,implies(implies(implies(X_972,X_973),X_975),implies(U,X_975)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_975,X_973),implies(X_972,X_973)),implies(implies(implies(X_972,X_973),X_975),implies(U,X_975)))) )],[refute_0_177,refute_0_186]) ).

cnf(refute_0_188,plain,
    is_a_theorem(implies(X_985,implies(implies(implies(X_984,X_985),X_986),implies(X_983,X_986)))),
    inference(subst,[],[refute_0_187:[bind(U,$fot(X_983)),bind(X_972,$fot(X_984)),bind(X_973,$fot(X_985)),bind(X_975,$fot(X_986))]]) ).

cnf(refute_0_189,plain,
    is_a_theorem(implies(X_578,implies(X_985,implies(implies(implies(X_984,X_985),X_986),implies(X_983,X_986))))),
    inference(resolve,[$cnf( is_a_theorem(implies(X_985,implies(implies(implies(X_984,X_985),X_986),implies(X_983,X_986)))) )],[refute_0_188,refute_0_176]) ).

cnf(refute_0_190,plain,
    is_a_theorem(implies(implies(X,Y),implies(X_994,implies(implies(implies(X_993,X_994),X_995),implies(X_992,X_995))))),
    inference(subst,[],[refute_0_189:[bind(X_578,$fot(implies(X,Y))),bind(X_983,$fot(X_992)),bind(X_984,$fot(X_993)),bind(X_985,$fot(X_994)),bind(X_986,$fot(X_995))]]) ).

cnf(refute_0_191,plain,
    is_a_theorem(implies(implies(implies(X_994,implies(implies(implies(X_993,X_994),X_995),implies(X_992,X_995))),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(X_994,implies(implies(implies(X_993,X_994),X_995),implies(X_992,X_995))))) )],[refute_0_190,refute_0_175]) ).

cnf(refute_0_192,plain,
    is_a_theorem(implies(implies(implies(X_1287,implies(implies(implies(X_1286,X_1287),X_1288),implies(X_1285,X_1288))),X_1284),implies(X_1283,X_1284))),
    inference(subst,[],[refute_0_191:[bind(U,$fot(X_1283)),bind(X,$fot(X_1284)),bind(X_992,$fot(X_1285)),bind(X_993,$fot(X_1286)),bind(X_994,$fot(X_1287)),bind(X_995,$fot(X_1288))]]) ).

cnf(refute_0_193,plain,
    ( ~ is_a_theorem(implies(implies(X_1287,implies(implies(implies(X_1286,X_1287),X_1288),implies(X_1285,X_1288))),X_1284))
    | is_a_theorem(implies(X_1283,X_1284)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1287,implies(implies(implies(X_1286,X_1287),X_1288),implies(X_1285,X_1288))),X_1284),implies(X_1283,X_1284))) )],[refute_0_192,refute_0_174]) ).

cnf(refute_0_194,plain,
    ( ~ is_a_theorem(implies(implies(X_8941,implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939))),implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939))))
    | is_a_theorem(implies(X_1283,implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939)))) ),
    inference(subst,[],[refute_0_193:[bind(X_1284,$fot(implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939)))),bind(X_1285,$fot(X_8941)),bind(X_1287,$fot(X_8941)),bind(X_1288,$fot(X_8939))]]) ).

cnf(refute_0_195,plain,
    ( ~ is_a_theorem(implies(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))),implies(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))),implies(X_8933,implies(X_8934,X_8932)))))
    | is_a_theorem(implies(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))),implies(X_8933,implies(X_8934,X_8932)))) ),
    inference(subst,[],[refute_0_156:[bind(X_6663,$fot(implies(X_8933,implies(X_8934,X_8932)))),bind(X_6664,$fot(implies(X_8934,implies(X_8933,implies(X_8934,X_8932)))))]]) ).

cnf(refute_0_196,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_6645,implies(X_6646,X_6644)),X_6646),X_6646))
    | is_a_theorem(implies(implies(X_6646,implies(X_6645,implies(X_6646,X_6644))),implies(U,implies(X_6645,implies(X_6646,X_6644))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_6645,implies(X_6646,X_6644)))),bind(Y,$fot(X_6646)),bind(Z,$fot(X_6646))]]) ).

cnf(refute_0_197,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(X_578,implies(X,Y))))
    | is_a_theorem(implies(implies(implies(X_578,implies(X,Y)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(X_578,implies(X,Y))))]]) ).

cnf(refute_0_198,plain,
    is_a_theorem(implies(implies(X,Y),implies(X_578,implies(X,Y)))),
    inference(subst,[],[refute_0_79:[bind(X_575,$fot(X_578)),bind(X_577,$fot(implies(X,Y)))]]) ).

cnf(refute_0_199,plain,
    is_a_theorem(implies(implies(implies(X_578,implies(X,Y)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(X_578,implies(X,Y)))) )],[refute_0_198,refute_0_197]) ).

cnf(refute_0_200,plain,
    is_a_theorem(implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466))),
    inference(subst,[],[refute_0_199:[bind(U,$fot(implies(implies(X_578,implies(X_6466,Y)),X_6466))),bind(X,$fot(X_6466))]]) ).

cnf(refute_0_201,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466)))
    | is_a_theorem(implies(X_6463,implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466))) ),
    inference(subst,[],[refute_0_131:[bind(X_6443,$fot(X_6463)),bind(X_6444,$fot(implies(X_578,implies(X_6466,Y)))),bind(X_6445,$fot(X_6466)),bind(X_6446,$fot(X_6466))]]) ).

cnf(refute_0_202,plain,
    is_a_theorem(implies(X_6463,implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466))) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    is_a_theorem(implies(implies(X_6626,X_6626),implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466))),
    inference(subst,[],[refute_0_202:[bind(X_6463,$fot(implies(X_6626,X_6626)))]]) ).

cnf(refute_0_204,plain,
    ( ~ is_a_theorem(implies(implies(X_6626,X_6626),implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466)))
    | is_a_theorem(implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466)) ),
    inference(subst,[],[refute_0_139:[bind(X_6624,$fot(X_6626)),bind(X_6625,$fot(implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466)))]]) ).

cnf(refute_0_205,plain,
    is_a_theorem(implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6626,X_6626),implies(implies(implies(X_578,implies(X_6466,Y)),X_6466),X_6466))) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    is_a_theorem(implies(implies(implies(X_6645,implies(X_6646,X_6644)),X_6646),X_6646)),
    inference(subst,[],[refute_0_205:[bind(Y,$fot(X_6644)),bind(X_578,$fot(X_6645)),bind(X_6466,$fot(X_6646))]]) ).

cnf(refute_0_207,plain,
    is_a_theorem(implies(implies(X_6646,implies(X_6645,implies(X_6646,X_6644))),implies(U,implies(X_6645,implies(X_6646,X_6644))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6645,implies(X_6646,X_6644)),X_6646),X_6646)) )],[refute_0_206,refute_0_196]) ).

cnf(refute_0_208,plain,
    is_a_theorem(implies(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))),implies(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))),implies(X_8933,implies(X_8934,X_8932))))),
    inference(subst,[],[refute_0_207:[bind(U,$fot(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))))),bind(X_6644,$fot(X_8932)),bind(X_6645,$fot(X_8933)),bind(X_6646,$fot(X_8934))]]) ).

cnf(refute_0_209,plain,
    is_a_theorem(implies(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))),implies(X_8933,implies(X_8934,X_8932)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))),implies(implies(X_8934,implies(X_8933,implies(X_8934,X_8932))),implies(X_8933,implies(X_8934,X_8932))))) )],[refute_0_208,refute_0_195]) ).

cnf(refute_0_210,plain,
    is_a_theorem(implies(implies(X_8941,implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939))),implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939)))),
    inference(subst,[],[refute_0_209:[bind(X_8932,$fot(X_8939)),bind(X_8933,$fot(implies(implies(X_1286,X_8941),X_8939))),bind(X_8934,$fot(X_8941))]]) ).

cnf(refute_0_211,plain,
    is_a_theorem(implies(X_1283,implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_8941,implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939))),implies(implies(implies(X_1286,X_8941),X_8939),implies(X_8941,X_8939)))) )],[refute_0_210,refute_0_194]) ).

cnf(refute_0_212,plain,
    is_a_theorem(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),implies(implies(implies(X_8948,X_8950),X_8949),implies(X_8950,X_8949)))),
    inference(subst,[],[refute_0_211:[bind(X_1283,$fot(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)))),bind(X_1286,$fot(X_8948)),bind(X_8939,$fot(X_8949)),bind(X_8941,$fot(X_8950))]]) ).

cnf(refute_0_213,plain,
    is_a_theorem(implies(implies(implies(X_8948,X_8950),X_8949),implies(X_8950,X_8949))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),implies(implies(implies(X_8948,X_8950),X_8949),implies(X_8950,X_8949)))) )],[refute_0_212,refute_0_173]) ).

cnf(refute_0_214,plain,
    is_a_theorem(implies(implies(implies(X_8951,X_8953),X_8952),implies(X_8953,X_8952))),
    inference(subst,[],[refute_0_213:[bind(X_8948,$fot(X_8951)),bind(X_8949,$fot(X_8952)),bind(X_8950,$fot(X_8953))]]) ).

cnf(refute_0_215,plain,
    ( ~ is_a_theorem(implies(implies(X_8951,X_8953),X_8952))
    | is_a_theorem(implies(X_8953,X_8952)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_8951,X_8953),X_8952),implies(X_8953,X_8952))) )],[refute_0_214,refute_0_160]) ).

cnf(refute_0_216,plain,
    ( ~ is_a_theorem(implies(implies(implies(X,Y),X_11803),implies(implies(X_11803,X),implies(U,X))))
    | is_a_theorem(implies(X_11803,implies(implies(X_11803,X),implies(U,X)))) ),
    inference(subst,[],[refute_0_215:[bind(X_8951,$fot(implies(X,Y))),bind(X_8952,$fot(implies(implies(X_11803,X),implies(U,X)))),bind(X_8953,$fot(X_11803))]]) ).

cnf(refute_0_217,plain,
    is_a_theorem(implies(X_11803,implies(implies(X_11803,X),implies(U,X)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),X_11803),implies(implies(X_11803,X),implies(U,X)))) )],[refute_0_159,refute_0_216]) ).

cnf(refute_0_218,plain,
    is_a_theorem(implies(X_11806,implies(implies(X_11806,X_11805),implies(X_11804,X_11805)))),
    inference(subst,[],[refute_0_217:[bind(U,$fot(X_11804)),bind(X,$fot(X_11805)),bind(X_11803,$fot(X_11806))]]) ).

cnf(refute_0_219,plain,
    ( ~ is_a_theorem(X_11806)
    | is_a_theorem(implies(implies(X_11806,X_11805),implies(X_11804,X_11805))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_11806,implies(implies(X_11806,X_11805),implies(X_11804,X_11805)))) )],[refute_0_218,refute_0_158]) ).

cnf(refute_0_220,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_51422,X_51422),implies(X_51421,implies(X_51421,X_51420))),implies(X_51421,X_51420)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_51422,X_51422),implies(X_51421,implies(X_51421,X_51420))),implies(X_51421,X_51420)),X_11805),implies(X_11804,X_11805))) ),
    inference(subst,[],[refute_0_219:[bind(X_11806,$fot(implies(implies(implies(X_51422,X_51422),implies(X_51421,implies(X_51421,X_51420))),implies(X_51421,X_51420))))]]) ).

cnf(refute_0_221,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_28687,implies(X_28690,X_28689)),X_28688),implies(X_28690,implies(X_28690,X_28689))))
    | ~ is_a_theorem(implies(implies(implies(implies(X_28687,implies(X_28690,X_28689)),X_28688),implies(X_28690,implies(X_28690,X_28689))),implies(X_28687,implies(X_28690,X_28689))))
    | is_a_theorem(implies(X_28687,implies(X_28690,X_28689))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_28687,implies(X_28690,X_28689)),X_28688),implies(X_28690,implies(X_28690,X_28689))))),bind(Y,$fot(implies(X_28687,implies(X_28690,X_28689))))]]) ).

cnf(refute_0_222,plain,
    ( ~ is_a_theorem(implies(X_28581,X_28580))
    | ~ is_a_theorem(implies(implies(X_28581,X_28580),implies(implies(implies(X_28580,X_28579),X_28581),X_28580)))
    | is_a_theorem(implies(implies(implies(X_28580,X_28579),X_28581),X_28580)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_28581,X_28580))),bind(Y,$fot(implies(implies(implies(X_28580,X_28579),X_28581),X_28580)))]]) ).

cnf(refute_0_223,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),implies(implies(X_28578,X_28577),implies(implies(implies(X_28577,X_28575),X_28578),X_28577))))
    | is_a_theorem(implies(implies(X_28578,X_28577),implies(implies(implies(X_28577,X_28575),X_28578),X_28577))) ),
    inference(subst,[],[refute_0_172:[bind(X_7327,$fot(implies(implies(X_28578,X_28577),implies(implies(implies(X_28577,X_28575),X_28578),X_28577))))]]) ).

cnf(refute_0_224,plain,
    is_a_theorem(implies(implies(implies(X_28571,Y),X_28574),implies(implies(X_28574,X_28571),implies(implies(implies(X_28571,Y),X_28574),X_28571)))),
    inference(subst,[],[ic_JLukasiewicz:[bind(U,$fot(implies(implies(X_28571,Y),X_28574))),bind(X,$fot(X_28571)),bind(Z,$fot(X_28574))]]) ).

cnf(refute_0_225,plain,
    ( ~ is_a_theorem(implies(implies(X_4310,X_4312),implies(X_4311,implies(implies(X_4310,X_4312),X_4309))))
    | ~ is_a_theorem(implies(implies(implies(X_4310,X_4312),implies(X_4311,implies(implies(X_4310,X_4312),X_4309))),implies(X_4308,implies(X_4311,implies(implies(X_4310,X_4312),X_4309)))))
    | is_a_theorem(implies(X_4308,implies(X_4311,implies(implies(X_4310,X_4312),X_4309)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_4310,X_4312),implies(X_4311,implies(implies(X_4310,X_4312),X_4309))))),bind(Y,$fot(implies(X_4308,implies(X_4311,implies(implies(X_4310,X_4312),X_4309)))))]]) ).

cnf(refute_0_226,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_4306,implies(implies(X_4305,X_4307),X_4304)),X_4307),implies(X_4305,X_4307)))
    | is_a_theorem(implies(implies(implies(X_4305,X_4307),implies(X_4306,implies(implies(X_4305,X_4307),X_4304))),implies(U,implies(X_4306,implies(implies(X_4305,X_4307),X_4304))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_4306,implies(implies(X_4305,X_4307),X_4304)))),bind(Y,$fot(X_4307)),bind(Z,$fot(implies(X_4305,X_4307)))]]) ).

cnf(refute_0_227,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827))))]]) ).

cnf(refute_0_228,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_613,X_612),implies(X_612,X_612)),X_612),implies(X_611,X_612)),X_610),implies(X_609,X_610)))
    | is_a_theorem(implies(X_578,implies(implies(implies(implies(implies(implies(X_613,X_612),implies(X_612,X_612)),X_612),implies(X_611,X_612)),X_610),implies(X_609,X_610)))) ),
    inference(subst,[],[refute_0_81:[bind(X_579,$fot(implies(implies(implies(implies(implies(implies(X_613,X_612),implies(X_612,X_612)),X_612),implies(X_611,X_612)),X_610),implies(X_609,X_610))))]]) ).

cnf(refute_0_229,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_492,X_491),implies(X_491,X_491)),X_491),implies(X_489,X_491))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(X_492,X_491),implies(X_491,X_491)),X_491),implies(X_489,X_491)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(implies(X_492,X_491),implies(X_491,X_491)),X_491),implies(X_489,X_491))))]]) ).

cnf(refute_0_230,plain,
    is_a_theorem(implies(implies(implies(X_483,X_483),implies(implies(X_484,X_483),implies(X_483,X_483))),implies(implies(implies(implies(X_484,X_483),implies(X_483,X_483)),X_483),implies(U,X_483)))),
    inference(subst,[],[ic_JLukasiewicz:[bind(X,$fot(X_483)),bind(Y,$fot(X_483)),bind(Z,$fot(implies(implies(X_484,X_483),implies(X_483,X_483))))]]) ).

cnf(refute_0_231,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_483,X_483),implies(implies(X_484,X_483),implies(X_483,X_483))),implies(implies(implies(implies(X_484,X_483),implies(X_483,X_483)),X_483),implies(U,X_483))))
    | is_a_theorem(implies(X_481,implies(implies(implies(implies(X_484,X_483),implies(X_483,X_483)),X_483),implies(U,X_483)))) ),
    inference(subst,[],[refute_0_57:[bind(X_43,$fot(X_481)),bind(X_44,$fot(implies(implies(implies(implies(X_484,X_483),implies(X_483,X_483)),X_483),implies(U,X_483)))),bind(X_45,$fot(X_483)),bind(X_46,$fot(X_484))]]) ).

cnf(refute_0_232,plain,
    is_a_theorem(implies(X_481,implies(implies(implies(implies(X_484,X_483),implies(X_483,X_483)),X_483),implies(U,X_483)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_483,X_483),implies(implies(X_484,X_483),implies(X_483,X_483))),implies(implies(implies(implies(X_484,X_483),implies(X_483,X_483)),X_483),implies(U,X_483)))) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_492,X_491),implies(X_491,X_491)),X_491),implies(X_489,X_491)))),
    inference(subst,[],[refute_0_232:[bind(U,$fot(X_489)),bind(X_481,$fot(implies(X,Y))),bind(X_483,$fot(X_491)),bind(X_484,$fot(X_492))]]) ).

cnf(refute_0_234,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_492,X_491),implies(X_491,X_491)),X_491),implies(X_489,X_491)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(X_492,X_491),implies(X_491,X_491)),X_491),implies(X_489,X_491)))) )],[refute_0_233,refute_0_229]) ).

cnf(refute_0_235,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_613,X_612),implies(X_612,X_612)),X_612),implies(X_611,X_612)),X_610),implies(X_609,X_610))),
    inference(subst,[],[refute_0_234:[bind(U,$fot(X_609)),bind(X,$fot(X_610)),bind(X_489,$fot(X_611)),bind(X_491,$fot(X_612)),bind(X_492,$fot(X_613))]]) ).

cnf(refute_0_236,plain,
    is_a_theorem(implies(X_578,implies(implies(implies(implies(implies(implies(X_613,X_612),implies(X_612,X_612)),X_612),implies(X_611,X_612)),X_610),implies(X_609,X_610)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_613,X_612),implies(X_612,X_612)),X_612),implies(X_611,X_612)),X_610),implies(X_609,X_610))) )],[refute_0_235,refute_0_228]) ).

cnf(refute_0_237,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827)))),
    inference(subst,[],[refute_0_236:[bind(X_578,$fot(implies(X,Y))),bind(X_609,$fot(X_826)),bind(X_610,$fot(X_827)),bind(X_611,$fot(X_828)),bind(X_612,$fot(X_829)),bind(X_613,$fot(X_830))]]) ).

cnf(refute_0_238,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827)))) )],[refute_0_237,refute_0_227]) ).

cnf(refute_0_239,plain,
    ( ~ is_a_theorem(X_1183)
    | ~ is_a_theorem(implies(X_1183,implies(implies(implies(X_1181,implies(implies(X_1180,X_1182),X_1179)),X_1182),implies(X_1180,X_1182))))
    | is_a_theorem(implies(implies(implies(X_1181,implies(implies(X_1180,X_1182),X_1179)),X_1182),implies(X_1180,X_1182))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_1183)),bind(Y,$fot(implies(implies(implies(X_1181,implies(implies(X_1180,X_1182),X_1179)),X_1182),implies(X_1180,X_1182))))]]) ).

cnf(refute_0_240,plain,
    ( ~ is_a_theorem(implies(implies(X_541,X_542),X_541))
    | ~ is_a_theorem(implies(implies(implies(X_541,X_542),X_541),implies(X_540,X_541)))
    | is_a_theorem(implies(X_540,X_541)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_541,X_542),X_541))),bind(Y,$fot(implies(X_540,X_541)))]]) ).

cnf(refute_0_241,plain,
    ( ~ is_a_theorem(implies(implies(X_541,X_542),X_541))
    | is_a_theorem(implies(X_540,X_541)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_541,X_542),X_541),implies(X_540,X_541))) )],[refute_0_116,refute_0_240]) ).

cnf(refute_0_242,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150)),implies(X_1148,X_1150)),implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150))))
    | is_a_theorem(implies(X_540,implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150)))) ),
    inference(subst,[],[refute_0_241:[bind(X_541,$fot(implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150)))),bind(X_542,$fot(implies(X_1148,X_1150)))]]) ).

cnf(refute_0_243,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_984,implies(X,Y)),X_986),implies(X_983,X_986))))
    | is_a_theorem(implies(implies(implies(implies(implies(X_984,implies(X,Y)),X_986),implies(X_983,X_986)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(X_984,implies(X,Y)),X_986),implies(X_983,X_986))))]]) ).

cnf(refute_0_244,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_984,implies(X,Y)),X_986),implies(X_983,X_986)))),
    inference(subst,[],[refute_0_187:[bind(U,$fot(X_983)),bind(X_972,$fot(X_984)),bind(X_973,$fot(implies(X,Y))),bind(X_975,$fot(X_986))]]) ).

cnf(refute_0_245,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_984,implies(X,Y)),X_986),implies(X_983,X_986)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_984,implies(X,Y)),X_986),implies(X_983,X_986)))) )],[refute_0_244,refute_0_243]) ).

cnf(refute_0_246,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150)),implies(X_1148,X_1150)),implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150)))),
    inference(subst,[],[refute_0_245:[bind(U,$fot(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150))),bind(X,$fot(implies(X_1148,X_1150))),bind(Y,$fot(X_1147)),bind(X_983,$fot(X_1148)),bind(X_984,$fot(X_1149)),bind(X_986,$fot(X_1150))]]) ).

cnf(refute_0_247,plain,
    is_a_theorem(implies(X_540,implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150)),implies(X_1148,X_1150)),implies(implies(implies(X_1149,implies(implies(X_1148,X_1150),X_1147)),X_1150),implies(X_1148,X_1150)))) )],[refute_0_246,refute_0_242]) ).

cnf(refute_0_248,plain,
    is_a_theorem(implies(X_1183,implies(implies(implies(X_1181,implies(implies(X_1180,X_1182),X_1179)),X_1182),implies(X_1180,X_1182)))),
    inference(subst,[],[refute_0_247:[bind(X_1147,$fot(X_1179)),bind(X_1148,$fot(X_1180)),bind(X_1149,$fot(X_1181)),bind(X_1150,$fot(X_1182)),bind(X_540,$fot(X_1183))]]) ).

cnf(refute_0_249,plain,
    ( ~ is_a_theorem(X_1183)
    | is_a_theorem(implies(implies(implies(X_1181,implies(implies(X_1180,X_1182),X_1179)),X_1182),implies(X_1180,X_1182))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_1183,implies(implies(implies(X_1181,implies(implies(X_1180,X_1182),X_1179)),X_1182),implies(X_1180,X_1182)))) )],[refute_0_248,refute_0_239]) ).

cnf(refute_0_250,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827)),X),implies(U,X)))
    | is_a_theorem(implies(implies(implies(X_4301,implies(implies(X_4300,X_4302),X_4299)),X_4302),implies(X_4300,X_4302))) ),
    inference(subst,[],[refute_0_249:[bind(X_1179,$fot(X_4299)),bind(X_1180,$fot(X_4300)),bind(X_1181,$fot(X_4301)),bind(X_1182,$fot(X_4302)),bind(X_1183,$fot(implies(implies(implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827)),X),implies(U,X))))]]) ).

cnf(refute_0_251,plain,
    is_a_theorem(implies(implies(implies(X_4301,implies(implies(X_4300,X_4302),X_4299)),X_4302),implies(X_4300,X_4302))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(implies(X_830,X_829),implies(X_829,X_829)),X_829),implies(X_828,X_829)),X_827),implies(X_826,X_827)),X),implies(U,X))) )],[refute_0_238,refute_0_250]) ).

cnf(refute_0_252,plain,
    is_a_theorem(implies(implies(implies(X_4306,implies(implies(X_4305,X_4307),X_4304)),X_4307),implies(X_4305,X_4307))),
    inference(subst,[],[refute_0_251:[bind(X_4299,$fot(X_4304)),bind(X_4300,$fot(X_4305)),bind(X_4301,$fot(X_4306)),bind(X_4302,$fot(X_4307))]]) ).

cnf(refute_0_253,plain,
    is_a_theorem(implies(implies(implies(X_4305,X_4307),implies(X_4306,implies(implies(X_4305,X_4307),X_4304))),implies(U,implies(X_4306,implies(implies(X_4305,X_4307),X_4304))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_4306,implies(implies(X_4305,X_4307),X_4304)),X_4307),implies(X_4305,X_4307))) )],[refute_0_252,refute_0_226]) ).

cnf(refute_0_254,plain,
    is_a_theorem(implies(implies(implies(X_4310,X_4312),implies(X_4311,implies(implies(X_4310,X_4312),X_4309))),implies(X_4308,implies(X_4311,implies(implies(X_4310,X_4312),X_4309))))),
    inference(subst,[],[refute_0_253:[bind(U,$fot(X_4308)),bind(X_4304,$fot(X_4309)),bind(X_4305,$fot(X_4310)),bind(X_4306,$fot(X_4311)),bind(X_4307,$fot(X_4312))]]) ).

cnf(refute_0_255,plain,
    ( ~ is_a_theorem(implies(implies(X_4310,X_4312),implies(X_4311,implies(implies(X_4310,X_4312),X_4309))))
    | is_a_theorem(implies(X_4308,implies(X_4311,implies(implies(X_4310,X_4312),X_4309)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_4310,X_4312),implies(X_4311,implies(implies(X_4310,X_4312),X_4309))),implies(X_4308,implies(X_4311,implies(implies(X_4310,X_4312),X_4309))))) )],[refute_0_254,refute_0_225]) ).

cnf(refute_0_256,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_28571,Y),X_28574),implies(implies(X_28574,X_28571),implies(implies(implies(X_28571,Y),X_28574),X_28571))))
    | is_a_theorem(implies(X_28570,implies(implies(X_28574,X_28571),implies(implies(implies(X_28571,Y),X_28574),X_28571)))) ),
    inference(subst,[],[refute_0_255:[bind(X_4308,$fot(X_28570)),bind(X_4309,$fot(X_28571)),bind(X_4310,$fot(implies(X_28571,Y))),bind(X_4311,$fot(implies(X_28574,X_28571))),bind(X_4312,$fot(X_28574))]]) ).

cnf(refute_0_257,plain,
    is_a_theorem(implies(X_28570,implies(implies(X_28574,X_28571),implies(implies(implies(X_28571,Y),X_28574),X_28571)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_28571,Y),X_28574),implies(implies(X_28574,X_28571),implies(implies(implies(X_28571,Y),X_28574),X_28571)))) )],[refute_0_224,refute_0_256]) ).

cnf(refute_0_258,plain,
    is_a_theorem(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),implies(implies(X_28578,X_28577),implies(implies(implies(X_28577,X_28575),X_28578),X_28577)))),
    inference(subst,[],[refute_0_257:[bind(Y,$fot(X_28575)),bind(X_28570,$fot(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)))),bind(X_28571,$fot(X_28577)),bind(X_28574,$fot(X_28578))]]) ).

cnf(refute_0_259,plain,
    is_a_theorem(implies(implies(X_28578,X_28577),implies(implies(implies(X_28577,X_28575),X_28578),X_28577))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_7328,X_7329),implies(X_7329,X_7330)),implies(X_7329,X_7330)),implies(implies(X_28578,X_28577),implies(implies(implies(X_28577,X_28575),X_28578),X_28577)))) )],[refute_0_258,refute_0_223]) ).

cnf(refute_0_260,plain,
    is_a_theorem(implies(implies(X_28581,X_28580),implies(implies(implies(X_28580,X_28579),X_28581),X_28580))),
    inference(subst,[],[refute_0_259:[bind(X_28575,$fot(X_28579)),bind(X_28577,$fot(X_28580)),bind(X_28578,$fot(X_28581))]]) ).

cnf(refute_0_261,plain,
    ( ~ is_a_theorem(implies(X_28581,X_28580))
    | is_a_theorem(implies(implies(implies(X_28580,X_28579),X_28581),X_28580)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_28581,X_28580),implies(implies(implies(X_28580,X_28579),X_28581),X_28580))) )],[refute_0_260,refute_0_222]) ).

cnf(refute_0_262,plain,
    ( ~ is_a_theorem(implies(implies(X_6629,implies(X_6629,X_6628)),implies(U,implies(X_6629,X_6628))))
    | is_a_theorem(implies(implies(implies(implies(U,implies(X_6629,X_6628)),X_28652),implies(X_6629,implies(X_6629,X_6628))),implies(U,implies(X_6629,X_6628)))) ),
    inference(subst,[],[refute_0_261:[bind(X_28579,$fot(X_28652)),bind(X_28580,$fot(implies(U,implies(X_6629,X_6628)))),bind(X_28581,$fot(implies(X_6629,implies(X_6629,X_6628))))]]) ).

cnf(refute_0_263,plain,
    is_a_theorem(implies(implies(implies(implies(U,implies(X_6629,X_6628)),X_28652),implies(X_6629,implies(X_6629,X_6628))),implies(U,implies(X_6629,X_6628)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6629,implies(X_6629,X_6628)),implies(U,implies(X_6629,X_6628)))) )],[refute_0_150,refute_0_262]) ).

cnf(refute_0_264,plain,
    is_a_theorem(implies(implies(implies(implies(X_28687,implies(X_28690,X_28689)),X_28688),implies(X_28690,implies(X_28690,X_28689))),implies(X_28687,implies(X_28690,X_28689)))),
    inference(subst,[],[refute_0_263:[bind(U,$fot(X_28687)),bind(X_28652,$fot(X_28688)),bind(X_6628,$fot(X_28689)),bind(X_6629,$fot(X_28690))]]) ).

cnf(refute_0_265,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_28687,implies(X_28690,X_28689)),X_28688),implies(X_28690,implies(X_28690,X_28689))))
    | is_a_theorem(implies(X_28687,implies(X_28690,X_28689))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_28687,implies(X_28690,X_28689)),X_28688),implies(X_28690,implies(X_28690,X_28689))),implies(X_28687,implies(X_28690,X_28689)))) )],[refute_0_264,refute_0_221]) ).

cnf(refute_0_266,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_51408,X_51408),implies(X_51406,implies(X_51406,X_28689))),implies(X_51406,X_28689)),implies(X_51406,X_28689)),implies(X_51406,implies(X_51406,X_28689))))
    | is_a_theorem(implies(implies(implies(X_51408,X_51408),implies(X_51406,implies(X_51406,X_28689))),implies(X_51406,X_28689))) ),
    inference(subst,[],[refute_0_265:[bind(X_28687,$fot(implies(implies(X_51408,X_51408),implies(X_51406,implies(X_51406,X_28689))))),bind(X_28688,$fot(implies(X_51406,X_28689))),bind(X_28690,$fot(X_51406))]]) ).

cnf(refute_0_267,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837),implies(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837),X_11837)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837),X_11837)) ),
    inference(subst,[],[refute_0_156:[bind(X_6663,$fot(X_11837)),bind(X_6664,$fot(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837)))]]) ).

cnf(refute_0_268,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(X,Y),X_11805),implies(X_11804,X_11805))))
    | is_a_theorem(implies(implies(implies(implies(implies(X,Y),X_11805),implies(X_11804,X_11805)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(X,Y),X_11805),implies(X_11804,X_11805))))]]) ).

cnf(refute_0_269,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(X,Y),X_11805),implies(X_11804,X_11805)))),
    inference(subst,[],[refute_0_217:[bind(U,$fot(X_11804)),bind(X,$fot(X_11805)),bind(X_11803,$fot(implies(X,Y)))]]) ).

cnf(refute_0_270,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X,Y),X_11805),implies(X_11804,X_11805)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(X,Y),X_11805),implies(X_11804,X_11805)))) )],[refute_0_269,refute_0_268]) ).

cnf(refute_0_271,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837),implies(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837),X_11837))),
    inference(subst,[],[refute_0_270:[bind(U,$fot(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837))),bind(X,$fot(X_11837)),bind(Y,$fot(X_11838)),bind(X_11804,$fot(X_11839)),bind(X_11805,$fot(X_11840))]]) ).

cnf(refute_0_272,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837),X_11837)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837),implies(implies(implies(implies(implies(X_11837,X_11838),X_11840),implies(X_11839,X_11840)),X_11837),X_11837))) )],[refute_0_271,refute_0_267]) ).

cnf(refute_0_273,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_51403,X_51403),implies(X_11839,X_11840)),X_11838),X_11840),implies(X_11839,X_11840)),implies(implies(X_51403,X_51403),implies(X_11839,X_11840))),implies(implies(X_51403,X_51403),implies(X_11839,X_11840)))),
    inference(subst,[],[refute_0_272:[bind(X_11837,$fot(implies(implies(X_51403,X_51403),implies(X_11839,X_11840))))]]) ).

cnf(refute_0_274,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_28601,X_28603),X_28600),implies(implies(X_28602,X_28602),X_28603)))
    | ~ is_a_theorem(implies(implies(implies(implies(X_28601,X_28603),X_28600),implies(implies(X_28602,X_28602),X_28603)),implies(X_28601,X_28603)))
    | is_a_theorem(implies(X_28601,X_28603)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_28601,X_28603),X_28600),implies(implies(X_28602,X_28602),X_28603)))),bind(Y,$fot(implies(X_28601,X_28603)))]]) ).

cnf(refute_0_275,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),X_6701))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),X_6701),X_6701))
    | is_a_theorem(X_6701) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),X_6701))),bind(Y,$fot(X_6701))]]) ).

cnf(refute_0_276,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599))))
    | is_a_theorem(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599))))]]) ).

cnf(refute_0_277,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_528,X_528),X_529),implies(U,X_529)))
    | is_a_theorem(implies(X_588,implies(implies(implies(X_528,X_528),X_529),implies(U,X_529)))) ),
    inference(subst,[],[refute_0_81:[bind(X_578,$fot(X_588)),bind(X_579,$fot(implies(implies(implies(X_528,X_528),X_529),implies(U,X_529))))]]) ).

cnf(refute_0_278,plain,
    is_a_theorem(implies(X_588,implies(implies(implies(X_528,X_528),X_529),implies(U,X_529)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_528,X_528),X_529),implies(U,X_529))) )],[refute_0_107,refute_0_277]) ).

cnf(refute_0_279,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)))),
    inference(subst,[],[refute_0_278:[bind(U,$fot(X_597)),bind(X_528,$fot(X_598)),bind(X_529,$fot(X_599)),bind(X_588,$fot(implies(X,Y)))]]) ).

cnf(refute_0_280,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)))) )],[refute_0_279,refute_0_276]) ).

cnf(refute_0_281,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466))),
    inference(subst,[],[refute_0_280:[bind(U,$fot(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466))),bind(X,$fot(X_6466))]]) ).

cnf(refute_0_282,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466)))
    | is_a_theorem(implies(X_6463,implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466))) ),
    inference(subst,[],[refute_0_131:[bind(X_6443,$fot(X_6463)),bind(X_6444,$fot(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)))),bind(X_6445,$fot(X_6466)),bind(X_6446,$fot(X_6466))]]) ).

cnf(refute_0_283,plain,
    is_a_theorem(implies(X_6463,implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466),X_6688),implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466))),
    inference(subst,[],[refute_0_283:[bind(X_6463,$fot(implies(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466),X_6688)))]]) ).

cnf(refute_0_285,plain,
    ( ~ is_a_theorem(implies(implies(X_6629,X_6628),X_6629))
    | ~ is_a_theorem(implies(implies(implies(X_6629,X_6628),X_6629),X_6629))
    | is_a_theorem(X_6629) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_6629,X_6628),X_6629))),bind(Y,$fot(X_6629))]]) ).

cnf(refute_0_286,plain,
    ( ~ is_a_theorem(implies(implies(X_6629,X_6628),X_6629))
    | is_a_theorem(X_6629) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_6629,X_6628),X_6629),X_6629)) )],[refute_0_149,refute_0_285]) ).

cnf(refute_0_287,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466),X_6688),implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466)) ),
    inference(subst,[],[refute_0_286:[bind(X_6628,$fot(X_6688)),bind(X_6629,$fot(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466)))]]) ).

cnf(refute_0_288,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466),X_6688),implies(implies(implies(implies(implies(X_598,X_598),X_599),implies(X_597,X_599)),X_6466),X_6466))) )],[refute_0_284,refute_0_287]) ).

cnf(refute_0_289,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),X_6701),X_6701)),
    inference(subst,[],[refute_0_288:[bind(X_597,$fot(X_6698)),bind(X_598,$fot(X_6699)),bind(X_599,$fot(X_6700)),bind(X_6466,$fot(X_6701))]]) ).

cnf(refute_0_290,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),X_6701))
    | is_a_theorem(X_6701) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),X_6701),X_6701)) )],[refute_0_289,refute_0_275]) ).

cnf(refute_0_291,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),implies(implies(implies(implies(X_6698,X_6700),X_28579),implies(implies(X_6699,X_6699),X_6700)),implies(X_6698,X_6700))))
    | is_a_theorem(implies(implies(implies(implies(X_6698,X_6700),X_28579),implies(implies(X_6699,X_6699),X_6700)),implies(X_6698,X_6700))) ),
    inference(subst,[],[refute_0_290:[bind(X_6701,$fot(implies(implies(implies(implies(X_6698,X_6700),X_28579),implies(implies(X_6699,X_6699),X_6700)),implies(X_6698,X_6700))))]]) ).

cnf(refute_0_292,plain,
    is_a_theorem(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),implies(implies(implies(implies(X_6698,X_6700),X_28579),implies(implies(X_6699,X_6699),X_6700)),implies(X_6698,X_6700)))),
    inference(subst,[],[refute_0_259:[bind(X_28575,$fot(X_28579)),bind(X_28577,$fot(implies(X_6698,X_6700))),bind(X_28578,$fot(implies(implies(X_6699,X_6699),X_6700)))]]) ).

cnf(refute_0_293,plain,
    is_a_theorem(implies(implies(implies(implies(X_6698,X_6700),X_28579),implies(implies(X_6699,X_6699),X_6700)),implies(X_6698,X_6700))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_6699,X_6699),X_6700),implies(X_6698,X_6700)),implies(implies(implies(implies(X_6698,X_6700),X_28579),implies(implies(X_6699,X_6699),X_6700)),implies(X_6698,X_6700)))) )],[refute_0_292,refute_0_291]) ).

cnf(refute_0_294,plain,
    is_a_theorem(implies(implies(implies(implies(X_28601,X_28603),X_28600),implies(implies(X_28602,X_28602),X_28603)),implies(X_28601,X_28603))),
    inference(subst,[],[refute_0_293:[bind(X_28579,$fot(X_28600)),bind(X_6698,$fot(X_28601)),bind(X_6699,$fot(X_28602)),bind(X_6700,$fot(X_28603))]]) ).

cnf(refute_0_295,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_28601,X_28603),X_28600),implies(implies(X_28602,X_28602),X_28603)))
    | is_a_theorem(implies(X_28601,X_28603)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_28601,X_28603),X_28600),implies(implies(X_28602,X_28602),X_28603)),implies(X_28601,X_28603))) )],[refute_0_294,refute_0_274]) ).

cnf(refute_0_296,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_51403,X_51403),implies(X_11839,X_11840)),X_11838),X_11840),implies(X_11839,X_11840)),implies(implies(X_51403,X_51403),implies(X_11839,X_11840))),implies(implies(X_51403,X_51403),implies(X_11839,X_11840))))
    | is_a_theorem(implies(implies(implies(implies(implies(X_51403,X_51403),implies(X_11839,X_11840)),X_11838),X_11840),implies(X_11839,X_11840))) ),
    inference(subst,[],[refute_0_295:[bind(X_28600,$fot(implies(implies(X_51403,X_51403),implies(X_11839,X_11840)))),bind(X_28601,$fot(implies(implies(implies(implies(X_51403,X_51403),implies(X_11839,X_11840)),X_11838),X_11840))),bind(X_28602,$fot(X_51403)),bind(X_28603,$fot(implies(X_11839,X_11840)))]]) ).

cnf(refute_0_297,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_51403,X_51403),implies(X_11839,X_11840)),X_11838),X_11840),implies(X_11839,X_11840))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_51403,X_51403),implies(X_11839,X_11840)),X_11838),X_11840),implies(X_11839,X_11840)),implies(implies(X_51403,X_51403),implies(X_11839,X_11840))),implies(implies(X_51403,X_51403),implies(X_11839,X_11840)))) )],[refute_0_273,refute_0_296]) ).

cnf(refute_0_298,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_51408,X_51408),implies(X_51406,implies(X_51406,X_28689))),implies(X_51406,X_28689)),implies(X_51406,X_28689)),implies(X_51406,implies(X_51406,X_28689)))),
    inference(subst,[],[refute_0_297:[bind(X_11838,$fot(implies(X_51406,X_28689))),bind(X_11839,$fot(X_51406)),bind(X_11840,$fot(implies(X_51406,X_28689))),bind(X_51403,$fot(X_51408))]]) ).

cnf(refute_0_299,plain,
    is_a_theorem(implies(implies(implies(X_51408,X_51408),implies(X_51406,implies(X_51406,X_28689))),implies(X_51406,X_28689))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_51408,X_51408),implies(X_51406,implies(X_51406,X_28689))),implies(X_51406,X_28689)),implies(X_51406,X_28689)),implies(X_51406,implies(X_51406,X_28689)))) )],[refute_0_298,refute_0_266]) ).

cnf(refute_0_300,plain,
    is_a_theorem(implies(implies(implies(X_51422,X_51422),implies(X_51421,implies(X_51421,X_51420))),implies(X_51421,X_51420))),
    inference(subst,[],[refute_0_299:[bind(X_28689,$fot(X_51420)),bind(X_51406,$fot(X_51421)),bind(X_51408,$fot(X_51422))]]) ).

cnf(refute_0_301,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_51422,X_51422),implies(X_51421,implies(X_51421,X_51420))),implies(X_51421,X_51420)),X_11805),implies(X_11804,X_11805))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_51422,X_51422),implies(X_51421,implies(X_51421,X_51420))),implies(X_51421,X_51420))) )],[refute_0_300,refute_0_220]) ).

cnf(refute_0_302,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466),implies(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466),X_51466))),
    inference(subst,[],[refute_0_301:[bind(X_11804,$fot(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466))),bind(X_11805,$fot(X_51466)),bind(X_51420,$fot(X_51467)),bind(X_51421,$fot(X_51468)),bind(X_51422,$fot(X_51469))]]) ).

cnf(refute_0_303,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466),X_51466)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466),implies(implies(implies(implies(implies(X_51469,X_51469),implies(X_51468,implies(X_51468,X_51467))),implies(X_51468,X_51467)),X_51466),X_51466))) )],[refute_0_302,refute_0_157]) ).

cnf(refute_0_304,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_51477,X_51477),implies(X_51476,implies(X_51476,X_51475))),implies(X_51476,X_51475)),X_51474),X_51474)),
    inference(subst,[],[refute_0_303:[bind(X_51466,$fot(X_51474)),bind(X_51467,$fot(X_51475)),bind(X_51468,$fot(X_51476)),bind(X_51469,$fot(X_51477))]]) ).

cnf(refute_0_305,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_51477,X_51477),implies(X_51476,implies(X_51476,X_51475))),implies(X_51476,X_51475)),X_51474))
    | is_a_theorem(X_51474) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_51477,X_51477),implies(X_51476,implies(X_51476,X_51475))),implies(X_51476,X_51475)),X_51474),X_51474)) )],[refute_0_304,refute_0_0]) ).

cnf(refute_0_306,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_51477,X_51477),implies(implies(X_82890,X_82889),implies(implies(X_82890,X_82889),X_82889))),implies(implies(X_82890,X_82889),X_82889)),implies(X_82890,implies(implies(X_82890,X_82889),X_82889))))
    | is_a_theorem(implies(X_82890,implies(implies(X_82890,X_82889),X_82889))) ),
    inference(subst,[],[refute_0_305:[bind(X_51474,$fot(implies(X_82890,implies(implies(X_82890,X_82889),X_82889)))),bind(X_51475,$fot(X_82889)),bind(X_51476,$fot(implies(X_82890,X_82889)))]]) ).

cnf(refute_0_307,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),X_29540))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),X_29540),X_29540))
    | is_a_theorem(X_29540) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),X_29540))),bind(Y,$fot(X_29540))]]) ).

cnf(refute_0_308,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224),implies(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224),X_29224)))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224),X_29224)) ),
    inference(subst,[],[refute_0_156:[bind(X_6663,$fot(X_29224)),bind(X_6664,$fot(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224)))]]) ).

cnf(refute_0_309,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(X_28597,X_28596),X_28598),X_28597),X_28598),X_28598)))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_28597,X_28596),X_28598),X_28597),X_28598),X_28598),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(implies(implies(X_28597,X_28596),X_28598),X_28597),X_28598),X_28598)))]]) ).

cnf(refute_0_310,plain,
    ( ~ is_a_theorem(implies(X_6659,implies(X_6659,X_6658)))
    | ~ is_a_theorem(implies(implies(X_6659,implies(X_6659,X_6658)),implies(X_6657,implies(X_6659,X_6658))))
    | is_a_theorem(implies(X_6657,implies(X_6659,X_6658))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_6659,implies(X_6659,X_6658)))),bind(Y,$fot(implies(X_6657,implies(X_6659,X_6658))))]]) ).

cnf(refute_0_311,plain,
    is_a_theorem(implies(implies(X_6659,implies(X_6659,X_6658)),implies(X_6657,implies(X_6659,X_6658)))),
    inference(subst,[],[refute_0_150:[bind(U,$fot(X_6657)),bind(X_6628,$fot(X_6658)),bind(X_6629,$fot(X_6659))]]) ).

cnf(refute_0_312,plain,
    ( ~ is_a_theorem(implies(X_6659,implies(X_6659,X_6658)))
    | is_a_theorem(implies(X_6657,implies(X_6659,X_6658))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_6659,implies(X_6659,X_6658)),implies(X_6657,implies(X_6659,X_6658)))) )],[refute_0_311,refute_0_310]) ).

cnf(refute_0_313,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585),implies(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585),X_28585)))
    | is_a_theorem(implies(X_6657,implies(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585),X_28585))) ),
    inference(subst,[],[refute_0_312:[bind(X_6658,$fot(X_28585)),bind(X_6659,$fot(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585)))]]) ).

cnf(refute_0_314,plain,
    ( ~ is_a_theorem(implies(implies(X_28581,X_28580),implies(implies(implies(X_28580,X_28579),X_28581),X_28580)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_28580,X_28579),X_28581),X_28580),X_28581),implies(U,X_28581))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(X_28581)),bind(Y,$fot(X_28580)),bind(Z,$fot(implies(implies(implies(X_28580,X_28579),X_28581),X_28580)))]]) ).

cnf(refute_0_315,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_28580,X_28579),X_28581),X_28580),X_28581),implies(U,X_28581))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_28581,X_28580),implies(implies(implies(X_28580,X_28579),X_28581),X_28580))) )],[refute_0_260,refute_0_314]) ).

cnf(refute_0_316,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585),implies(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585),X_28585))),
    inference(subst,[],[refute_0_315:[bind(U,$fot(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585))),bind(X_28579,$fot(X_28583)),bind(X_28580,$fot(X_28584)),bind(X_28581,$fot(X_28585))]]) ).

cnf(refute_0_317,plain,
    is_a_theorem(implies(X_6657,implies(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585),X_28585))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585),implies(implies(implies(implies(implies(X_28584,X_28583),X_28585),X_28584),X_28585),X_28585))) )],[refute_0_316,refute_0_313]) ).

cnf(refute_0_318,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(X_28597,X_28596),X_28598),X_28597),X_28598),X_28598))),
    inference(subst,[],[refute_0_317:[bind(X_28583,$fot(X_28596)),bind(X_28584,$fot(X_28597)),bind(X_28585,$fot(X_28598)),bind(X_6657,$fot(implies(X,Y)))]]) ).

cnf(refute_0_319,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_28597,X_28596),X_28598),X_28597),X_28598),X_28598),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(implies(implies(X_28597,X_28596),X_28598),X_28597),X_28598),X_28598))) )],[refute_0_318,refute_0_309]) ).

cnf(refute_0_320,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224),implies(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224),X_29224))),
    inference(subst,[],[refute_0_319:[bind(U,$fot(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224))),bind(X,$fot(X_29224)),bind(X_28596,$fot(X_29225)),bind(X_28597,$fot(X_29226)),bind(X_28598,$fot(X_29227))]]) ).

cnf(refute_0_321,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224),X_29224)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224),implies(implies(implies(implies(implies(implies(implies(X_29226,X_29225),X_29227),X_29226),X_29227),X_29227),X_29224),X_29224))) )],[refute_0_320,refute_0_308]) ).

cnf(refute_0_322,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),X_29540),X_29540)),
    inference(subst,[],[refute_0_321:[bind(X_29224,$fot(X_29540)),bind(X_29225,$fot(X_29541)),bind(X_29226,$fot(X_29542)),bind(X_29227,$fot(X_29543))]]) ).

cnf(refute_0_323,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),X_29540))
    | is_a_theorem(X_29540) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),X_29540),X_29540)) )],[refute_0_322,refute_0_307]) ).

cnf(refute_0_324,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81437,implies(implies(X_81440,X_81439),implies(X_81438,X_81439))),X_81441),implies(X_81440,X_81441))))
    | is_a_theorem(implies(implies(implies(X_81437,implies(implies(X_81440,X_81439),implies(X_81438,X_81439))),X_81441),implies(X_81440,X_81441))) ),
    inference(subst,[],[refute_0_323:[bind(X_29540,$fot(implies(implies(implies(X_81437,implies(implies(X_81440,X_81439),implies(X_81438,X_81439))),X_81441),implies(X_81440,X_81441))))]]) ).

cnf(refute_0_325,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_81433,X_81432),implies(X_81431,X_81432)),implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434))),implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434))))
    | is_a_theorem(implies(X_1283,implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434)))) ),
    inference(subst,[],[refute_0_193:[bind(X_1284,$fot(implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434)))),bind(X_1285,$fot(X_81433)),bind(X_1287,$fot(implies(implies(X_81433,X_81432),implies(X_81431,X_81432)))),bind(X_1288,$fot(X_81434))]]) ).

cnf(refute_0_326,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))),implies(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))),implies(X_81430,implies(X_81428,X_81429)))))
    | is_a_theorem(implies(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))),implies(X_81430,implies(X_81428,X_81429)))) ),
    inference(subst,[],[refute_0_156:[bind(X_6663,$fot(implies(X_81430,implies(X_81428,X_81429)))),bind(X_6664,$fot(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429)))))]]) ).

cnf(refute_0_327,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_81424,implies(X_81422,X_81423)),implies(X_81420,X_81421)),implies(implies(X_81422,X_81421),implies(X_81420,X_81421))))
    | is_a_theorem(implies(implies(implies(implies(X_81422,X_81421),implies(X_81420,X_81421)),implies(X_81424,implies(X_81422,X_81423))),implies(U,implies(X_81424,implies(X_81422,X_81423))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_81424,implies(X_81422,X_81423)))),bind(Y,$fot(implies(X_81420,X_81421))),bind(Z,$fot(implies(implies(X_81422,X_81421),implies(X_81420,X_81421))))]]) ).

cnf(refute_0_328,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81419,implies(X_81417,X_81418)),implies(X_81415,X_81416)),implies(implies(X_81417,X_81416),implies(X_81415,X_81416)))))
    | is_a_theorem(implies(implies(implies(X_81419,implies(X_81417,X_81418)),implies(X_81415,X_81416)),implies(implies(X_81417,X_81416),implies(X_81415,X_81416)))) ),
    inference(subst,[],[refute_0_323:[bind(X_29540,$fot(implies(implies(implies(X_81419,implies(X_81417,X_81418)),implies(X_81415,X_81416)),implies(implies(X_81417,X_81416),implies(X_81415,X_81416)))))]]) ).

cnf(refute_0_329,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_3585,X_3586),X_3587),implies(implies(X_3587,X_3585),implies(X_3584,X_3585))),X_3583))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(X_3585,X_3586),X_3587),implies(implies(X_3587,X_3585),implies(X_3584,X_3585))),X_3583),implies(X_3582,X_3583)))
    | is_a_theorem(implies(X_3582,X_3583)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(implies(X_3585,X_3586),X_3587),implies(implies(X_3587,X_3585),implies(X_3584,X_3585))),X_3583))),bind(Y,$fot(implies(X_3582,X_3583)))]]) ).

cnf(refute_0_330,plain,
    ( ~ is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_2681,X_2682),X_2683),implies(implies(X_2683,X_2681),implies(X_2680,X_2681)))))
    | is_a_theorem(implies(implies(implies(implies(implies(X_2681,X_2682),X_2683),implies(implies(X_2683,X_2681),implies(X_2680,X_2681))),X),implies(U,X))) ),
    inference(subst,[],[refute_0_4:[bind(Z,$fot(implies(implies(implies(X_2681,X_2682),X_2683),implies(implies(X_2683,X_2681),implies(X_2680,X_2681)))))]]) ).

cnf(refute_0_331,plain,
    ( ~ is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X))))
    | is_a_theorem(implies(X_588,implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X))))) ),
    inference(subst,[],[refute_0_81:[bind(X_578,$fot(X_588)),bind(X_579,$fot(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))))]]) ).

cnf(refute_0_332,plain,
    is_a_theorem(implies(X_588,implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) )],[ic_JLukasiewicz,refute_0_331]) ).

cnf(refute_0_333,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_2681,X_2682),X_2683),implies(implies(X_2683,X_2681),implies(X_2680,X_2681))))),
    inference(subst,[],[refute_0_332:[bind(U,$fot(X_2680)),bind(X,$fot(X_2681)),bind(Y,$fot(X_2682)),bind(Z,$fot(X_2683)),bind(X_588,$fot(implies(X,Y)))]]) ).

cnf(refute_0_334,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_2681,X_2682),X_2683),implies(implies(X_2683,X_2681),implies(X_2680,X_2681))),X),implies(U,X))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(implies(X_2681,X_2682),X_2683),implies(implies(X_2683,X_2681),implies(X_2680,X_2681))))) )],[refute_0_333,refute_0_330]) ).

cnf(refute_0_335,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_3585,X_3586),X_3587),implies(implies(X_3587,X_3585),implies(X_3584,X_3585))),X_3583),implies(X_3582,X_3583))),
    inference(subst,[],[refute_0_334:[bind(U,$fot(X_3582)),bind(X,$fot(X_3583)),bind(X_2680,$fot(X_3584)),bind(X_2681,$fot(X_3585)),bind(X_2682,$fot(X_3586)),bind(X_2683,$fot(X_3587))]]) ).

cnf(refute_0_336,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_3585,X_3586),X_3587),implies(implies(X_3587,X_3585),implies(X_3584,X_3585))),X_3583))
    | is_a_theorem(implies(X_3582,X_3583)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_3585,X_3586),X_3587),implies(implies(X_3587,X_3585),implies(X_3584,X_3585))),X_3583),implies(X_3582,X_3583))) )],[refute_0_335,refute_0_329]) ).

cnf(refute_0_337,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_3585,X_3586),X_81401),implies(implies(X_81401,X_3585),implies(X_3584,X_3585))),implies(implies(implies(X_81404,implies(X_81401,X_81402)),implies(X_3584,X_3585)),implies(implies(X_81401,X_3585),implies(X_3584,X_3585)))))
    | is_a_theorem(implies(X_3582,implies(implies(implies(X_81404,implies(X_81401,X_81402)),implies(X_3584,X_3585)),implies(implies(X_81401,X_3585),implies(X_3584,X_3585))))) ),
    inference(subst,[],[refute_0_336:[bind(X_3583,$fot(implies(implies(implies(X_81404,implies(X_81401,X_81402)),implies(X_3584,X_3585)),implies(implies(X_81401,X_3585),implies(X_3584,X_3585))))),bind(X_3587,$fot(X_81401))]]) ).

cnf(refute_0_338,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81393,X_81394),implies(X_81396,X_81398)),implies(implies(implies(X_81397,implies(X_81394,X_81395)),X_81398),implies(X_81396,X_81398)))))
    | is_a_theorem(implies(implies(implies(X_81393,X_81394),implies(X_81396,X_81398)),implies(implies(implies(X_81397,implies(X_81394,X_81395)),X_81398),implies(X_81396,X_81398)))) ),
    inference(subst,[],[refute_0_323:[bind(X_29540,$fot(implies(implies(implies(X_81393,X_81394),implies(X_81396,X_81398)),implies(implies(implies(X_81397,implies(X_81394,X_81395)),X_81398),implies(X_81396,X_81398)))))]]) ).

cnf(refute_0_339,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_72464,implies(X_72466,X_72467)),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))))
    | is_a_theorem(implies(implies(implies(X_72464,implies(X_72466,X_72467)),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))) ),
    inference(subst,[],[refute_0_323:[bind(X_29540,$fot(implies(implies(implies(X_72464,implies(X_72466,X_72467)),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))))]]) ).

cnf(refute_0_340,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))),implies(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462))))))
    | is_a_theorem(implies(X_6657,implies(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))))) ),
    inference(subst,[],[refute_0_312:[bind(X_6658,$fot(implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462))))),bind(X_6659,$fot(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462))))))]]) ).

cnf(refute_0_341,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_3984,implies(implies(implies(X_3989,implies(X_3986,X_3987)),X_3990),implies(X_3988,X_3990))),implies(X_3985,X_3986)),implies(X_3983,implies(X_3985,X_3986))))
    | is_a_theorem(implies(implies(implies(X_3983,implies(X_3985,X_3986)),implies(X_3984,implies(implies(implies(X_3989,implies(X_3986,X_3987)),X_3990),implies(X_3988,X_3990)))),implies(U,implies(X_3984,implies(implies(implies(X_3989,implies(X_3986,X_3987)),X_3990),implies(X_3988,X_3990)))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_3984,implies(implies(implies(X_3989,implies(X_3986,X_3987)),X_3990),implies(X_3988,X_3990))))),bind(Y,$fot(implies(X_3985,X_3986))),bind(Z,$fot(implies(X_3983,implies(X_3985,X_3986))))]]) ).

cnf(refute_0_342,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_3977,X_3978),implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982))),implies(X_3976,implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982)))))
    | is_a_theorem(implies(implies(implies(X_3976,implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982))),implies(X_3977,X_3978)),implies(U,implies(X_3977,X_3978)))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(X_3977,X_3978))),bind(Y,$fot(implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982)))),bind(Z,$fot(implies(X_3976,implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982)))))]]) ).

cnf(refute_0_343,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1149,implies(X_1146,X_1147)),X_1150),implies(X_1148,X_1150)),X_1146),implies(X_1145,X_1146)))
    | is_a_theorem(implies(implies(implies(X_1145,X_1146),implies(implies(implies(X_1149,implies(X_1146,X_1147)),X_1150),implies(X_1148,X_1150))),implies(U,implies(implies(implies(X_1149,implies(X_1146,X_1147)),X_1150),implies(X_1148,X_1150))))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(implies(implies(implies(X_1149,implies(X_1146,X_1147)),X_1150),implies(X_1148,X_1150)))),bind(Y,$fot(X_1146)),bind(Z,$fot(implies(X_1145,X_1146)))]]) ).

cnf(refute_0_344,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_1149,implies(X_1146,X_1147)),X_1150),implies(X_1148,X_1150)),X_1146),implies(X_1145,X_1146))),
    inference(subst,[],[refute_0_245:[bind(U,$fot(X_1145)),bind(X,$fot(X_1146)),bind(Y,$fot(X_1147)),bind(X_983,$fot(X_1148)),bind(X_984,$fot(X_1149)),bind(X_986,$fot(X_1150))]]) ).

cnf(refute_0_345,plain,
    is_a_theorem(implies(implies(implies(X_1145,X_1146),implies(implies(implies(X_1149,implies(X_1146,X_1147)),X_1150),implies(X_1148,X_1150))),implies(U,implies(implies(implies(X_1149,implies(X_1146,X_1147)),X_1150),implies(X_1148,X_1150))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1149,implies(X_1146,X_1147)),X_1150),implies(X_1148,X_1150)),X_1146),implies(X_1145,X_1146))) )],[refute_0_344,refute_0_343]) ).

cnf(refute_0_346,plain,
    is_a_theorem(implies(implies(implies(X_3977,X_3978),implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982))),implies(X_3976,implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982))))),
    inference(subst,[],[refute_0_345:[bind(U,$fot(X_3976)),bind(X_1145,$fot(X_3977)),bind(X_1146,$fot(X_3978)),bind(X_1147,$fot(X_3979)),bind(X_1148,$fot(X_3980)),bind(X_1149,$fot(X_3981)),bind(X_1150,$fot(X_3982))]]) ).

cnf(refute_0_347,plain,
    is_a_theorem(implies(implies(implies(X_3976,implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982))),implies(X_3977,X_3978)),implies(U,implies(X_3977,X_3978)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3977,X_3978),implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982))),implies(X_3976,implies(implies(implies(X_3981,implies(X_3978,X_3979)),X_3982),implies(X_3980,X_3982))))) )],[refute_0_346,refute_0_342]) ).

cnf(refute_0_348,plain,
    is_a_theorem(implies(implies(implies(X_3984,implies(implies(implies(X_3989,implies(X_3986,X_3987)),X_3990),implies(X_3988,X_3990))),implies(X_3985,X_3986)),implies(X_3983,implies(X_3985,X_3986)))),
    inference(subst,[],[refute_0_347:[bind(U,$fot(X_3983)),bind(X_3976,$fot(X_3984)),bind(X_3977,$fot(X_3985)),bind(X_3978,$fot(X_3986)),bind(X_3979,$fot(X_3987)),bind(X_3980,$fot(X_3988)),bind(X_3981,$fot(X_3989)),bind(X_3982,$fot(X_3990))]]) ).

cnf(refute_0_349,plain,
    is_a_theorem(implies(implies(implies(X_3983,implies(X_3985,X_3986)),implies(X_3984,implies(implies(implies(X_3989,implies(X_3986,X_3987)),X_3990),implies(X_3988,X_3990)))),implies(U,implies(X_3984,implies(implies(implies(X_3989,implies(X_3986,X_3987)),X_3990),implies(X_3988,X_3990)))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3984,implies(implies(implies(X_3989,implies(X_3986,X_3987)),X_3990),implies(X_3988,X_3990))),implies(X_3985,X_3986)),implies(X_3983,implies(X_3985,X_3986)))) )],[refute_0_348,refute_0_341]) ).

cnf(refute_0_350,plain,
    is_a_theorem(implies(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))),implies(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))))),
    inference(subst,[],[refute_0_349:[bind(U,$fot(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))))),bind(X_3983,$fot(X_72455)),bind(X_3984,$fot(X_72456)),bind(X_3985,$fot(X_72457)),bind(X_3986,$fot(X_72458)),bind(X_3987,$fot(X_72459)),bind(X_3988,$fot(X_72460)),bind(X_3989,$fot(X_72461)),bind(X_3990,$fot(X_72462))]]) ).

cnf(refute_0_351,plain,
    is_a_theorem(implies(X_6657,implies(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))),implies(implies(implies(X_72455,implies(X_72457,X_72458)),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))),implies(X_72456,implies(implies(implies(X_72461,implies(X_72458,X_72459)),X_72462),implies(X_72460,X_72462)))))) )],[refute_0_350,refute_0_340]) ).

cnf(refute_0_352,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_72464,implies(X_72466,X_72467)),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))))),
    inference(subst,[],[refute_0_351:[bind(X_6657,$fot(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543))),bind(X_72455,$fot(X_72464)),bind(X_72456,$fot(X_72465)),bind(X_72457,$fot(X_72466)),bind(X_72458,$fot(X_72467)),bind(X_72459,$fot(X_72468)),bind(X_72460,$fot(X_72469)),bind(X_72461,$fot(X_72470)),bind(X_72462,$fot(X_72471))]]) ).

cnf(refute_0_353,plain,
    is_a_theorem(implies(implies(implies(X_72464,implies(X_72466,X_72467)),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_72464,implies(X_72466,X_72467)),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(X_72465,implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))))) )],[refute_0_352,refute_0_339]) ).

cnf(refute_0_354,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_72469,X_72471),X_79843),implies(X_72466,X_72467)),implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))),
    inference(subst,[],[refute_0_353:[bind(X_72464,$fot(implies(implies(X_72469,X_72471),X_79843))),bind(X_72465,$fot(implies(implies(X_72466,X_72467),implies(X_72469,X_72471))))]]) ).

cnf(refute_0_355,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_72469,X_72471),X_79843),implies(X_72466,X_72467)),implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))))
    | is_a_theorem(implies(X_79839,implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))) ),
    inference(subst,[],[refute_0_336:[bind(X_3582,$fot(X_79839)),bind(X_3583,$fot(implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))),bind(X_3584,$fot(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471))),bind(X_3585,$fot(implies(X_72469,X_72471))),bind(X_3586,$fot(X_79843)),bind(X_3587,$fot(implies(X_72466,X_72467)))]]) ).

cnf(refute_0_356,plain,
    is_a_theorem(implies(X_79839,implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_72469,X_72471),X_79843),implies(X_72466,X_72467)),implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471)))),implies(implies(implies(X_72466,X_72467),implies(X_72469,X_72471)),implies(implies(implies(X_72470,implies(X_72467,X_72468)),X_72471),implies(X_72469,X_72471))))) )],[refute_0_354,refute_0_355]) ).

cnf(refute_0_357,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81393,X_81394),implies(X_81396,X_81398)),implies(implies(implies(X_81397,implies(X_81394,X_81395)),X_81398),implies(X_81396,X_81398))))),
    inference(subst,[],[refute_0_356:[bind(X_72466,$fot(X_81393)),bind(X_72467,$fot(X_81394)),bind(X_72468,$fot(X_81395)),bind(X_72469,$fot(X_81396)),bind(X_72470,$fot(X_81397)),bind(X_72471,$fot(X_81398)),bind(X_79839,$fot(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543)))]]) ).

cnf(refute_0_358,plain,
    is_a_theorem(implies(implies(implies(X_81393,X_81394),implies(X_81396,X_81398)),implies(implies(implies(X_81397,implies(X_81394,X_81395)),X_81398),implies(X_81396,X_81398)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81393,X_81394),implies(X_81396,X_81398)),implies(implies(implies(X_81397,implies(X_81394,X_81395)),X_81398),implies(X_81396,X_81398))))) )],[refute_0_357,refute_0_338]) ).

cnf(refute_0_359,plain,
    is_a_theorem(implies(implies(implies(implies(X_3585,X_3586),X_81401),implies(implies(X_81401,X_3585),implies(X_3584,X_3585))),implies(implies(implies(X_81404,implies(X_81401,X_81402)),implies(X_3584,X_3585)),implies(implies(X_81401,X_3585),implies(X_3584,X_3585))))),
    inference(subst,[],[refute_0_358:[bind(X_81393,$fot(implies(X_3585,X_3586))),bind(X_81394,$fot(X_81401)),bind(X_81395,$fot(X_81402)),bind(X_81396,$fot(implies(X_81401,X_3585))),bind(X_81397,$fot(X_81404)),bind(X_81398,$fot(implies(X_3584,X_3585)))]]) ).

cnf(refute_0_360,plain,
    is_a_theorem(implies(X_3582,implies(implies(implies(X_81404,implies(X_81401,X_81402)),implies(X_3584,X_3585)),implies(implies(X_81401,X_3585),implies(X_3584,X_3585))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_3585,X_3586),X_81401),implies(implies(X_81401,X_3585),implies(X_3584,X_3585))),implies(implies(implies(X_81404,implies(X_81401,X_81402)),implies(X_3584,X_3585)),implies(implies(X_81401,X_3585),implies(X_3584,X_3585))))) )],[refute_0_359,refute_0_337]) ).

cnf(refute_0_361,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81419,implies(X_81417,X_81418)),implies(X_81415,X_81416)),implies(implies(X_81417,X_81416),implies(X_81415,X_81416))))),
    inference(subst,[],[refute_0_360:[bind(X_3582,$fot(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543))),bind(X_3584,$fot(X_81415)),bind(X_3585,$fot(X_81416)),bind(X_81401,$fot(X_81417)),bind(X_81402,$fot(X_81418)),bind(X_81404,$fot(X_81419))]]) ).

cnf(refute_0_362,plain,
    is_a_theorem(implies(implies(implies(X_81419,implies(X_81417,X_81418)),implies(X_81415,X_81416)),implies(implies(X_81417,X_81416),implies(X_81415,X_81416)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81419,implies(X_81417,X_81418)),implies(X_81415,X_81416)),implies(implies(X_81417,X_81416),implies(X_81415,X_81416))))) )],[refute_0_361,refute_0_328]) ).

cnf(refute_0_363,plain,
    is_a_theorem(implies(implies(implies(X_81424,implies(X_81422,X_81423)),implies(X_81420,X_81421)),implies(implies(X_81422,X_81421),implies(X_81420,X_81421)))),
    inference(subst,[],[refute_0_362:[bind(X_81415,$fot(X_81420)),bind(X_81416,$fot(X_81421)),bind(X_81417,$fot(X_81422)),bind(X_81418,$fot(X_81423)),bind(X_81419,$fot(X_81424))]]) ).

cnf(refute_0_364,plain,
    is_a_theorem(implies(implies(implies(implies(X_81422,X_81421),implies(X_81420,X_81421)),implies(X_81424,implies(X_81422,X_81423))),implies(U,implies(X_81424,implies(X_81422,X_81423))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_81424,implies(X_81422,X_81423)),implies(X_81420,X_81421)),implies(implies(X_81422,X_81421),implies(X_81420,X_81421)))) )],[refute_0_363,refute_0_327]) ).

cnf(refute_0_365,plain,
    is_a_theorem(implies(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))),implies(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))),implies(X_81430,implies(X_81428,X_81429))))),
    inference(subst,[],[refute_0_364:[bind(U,$fot(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))))),bind(X_81420,$fot(X_81426)),bind(X_81421,$fot(X_81427)),bind(X_81422,$fot(X_81428)),bind(X_81423,$fot(X_81429)),bind(X_81424,$fot(X_81430))]]) ).

cnf(refute_0_366,plain,
    is_a_theorem(implies(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))),implies(X_81430,implies(X_81428,X_81429)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))),implies(implies(implies(implies(X_81428,X_81427),implies(X_81426,X_81427)),implies(X_81430,implies(X_81428,X_81429))),implies(X_81430,implies(X_81428,X_81429))))) )],[refute_0_365,refute_0_326]) ).

cnf(refute_0_367,plain,
    is_a_theorem(implies(implies(implies(implies(X_81433,X_81432),implies(X_81431,X_81432)),implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434))),implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434)))),
    inference(subst,[],[refute_0_366:[bind(X_81426,$fot(X_81431)),bind(X_81427,$fot(X_81432)),bind(X_81428,$fot(X_81433)),bind(X_81429,$fot(X_81434)),bind(X_81430,$fot(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434)))]]) ).

cnf(refute_0_368,plain,
    is_a_theorem(implies(X_1283,implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_81433,X_81432),implies(X_81431,X_81432)),implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434))),implies(implies(implies(X_1286,implies(implies(X_81433,X_81432),implies(X_81431,X_81432))),X_81434),implies(X_81433,X_81434)))) )],[refute_0_367,refute_0_325]) ).

cnf(refute_0_369,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81437,implies(implies(X_81440,X_81439),implies(X_81438,X_81439))),X_81441),implies(X_81440,X_81441)))),
    inference(subst,[],[refute_0_368:[bind(X_1283,$fot(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543))),bind(X_1286,$fot(X_81437)),bind(X_81431,$fot(X_81438)),bind(X_81432,$fot(X_81439)),bind(X_81433,$fot(X_81440)),bind(X_81434,$fot(X_81441))]]) ).

cnf(refute_0_370,plain,
    is_a_theorem(implies(implies(implies(X_81437,implies(implies(X_81440,X_81439),implies(X_81438,X_81439))),X_81441),implies(X_81440,X_81441))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_29542,X_29541),X_29543),X_29542),X_29543),X_29543),implies(implies(implies(X_81437,implies(implies(X_81440,X_81439),implies(X_81438,X_81439))),X_81441),implies(X_81440,X_81441)))) )],[refute_0_369,refute_0_324]) ).

cnf(refute_0_371,plain,
    is_a_theorem(implies(implies(implies(implies(X_51477,X_51477),implies(implies(X_82890,X_82889),implies(implies(X_82890,X_82889),X_82889))),implies(implies(X_82890,X_82889),X_82889)),implies(X_82890,implies(implies(X_82890,X_82889),X_82889)))),
    inference(subst,[],[refute_0_370:[bind(X_81437,$fot(implies(X_51477,X_51477))),bind(X_81438,$fot(implies(X_82890,X_82889))),bind(X_81439,$fot(X_82889)),bind(X_81440,$fot(X_82890)),bind(X_81441,$fot(implies(implies(X_82890,X_82889),X_82889)))]]) ).

cnf(refute_0_372,plain,
    is_a_theorem(implies(X_82890,implies(implies(X_82890,X_82889),X_82889))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_51477,X_51477),implies(implies(X_82890,X_82889),implies(implies(X_82890,X_82889),X_82889))),implies(implies(X_82890,X_82889),X_82889)),implies(X_82890,implies(implies(X_82890,X_82889),X_82889)))) )],[refute_0_371,refute_0_306]) ).

cnf(refute_0_373,plain,
    is_a_theorem(implies(a,implies(implies(a,b),b))),
    inference(subst,[],[refute_0_372:[bind(X_82889,$fot(b)),bind(X_82890,$fot(a))]]) ).

cnf(refute_0_374,plain,
    $false,
    inference(resolve,[$cnf( is_a_theorem(implies(a,implies(implies(a,b),b))) )],[refute_0_373,prove_ic_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : LCL085-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul  4 09:58:23 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 237.41/237.63  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 237.41/237.63  
% 237.41/237.63  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 237.50/237.68  
%------------------------------------------------------------------------------