%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL089-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 12:49:23 EDT 2022

% Result   : Unsatisfiable 6.65s 6.82s
% Output   : CNFRefutation 6.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   73
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  252 ( 129 unt;   0 nHn;  55 RR)
%            Number of literals    :  408 (   0 equ; 157 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   : 1074 ( 376 sgn)

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

cnf(ic_JLukasiewicz_4,axiom,
    is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) ).

cnf(prove_ic_4,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ).

cnf(refute_0_0,plain,
    ( ~ is_a_theorem(implies(implies(X_1512,X_1513),X_1511))
    | ~ is_a_theorem(implies(implies(implies(X_1512,X_1513),X_1511),implies(X_1513,X_1511)))
    | is_a_theorem(implies(X_1513,X_1511)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1512,X_1513),X_1511))),bind(Y,$fot(implies(X_1513,X_1511)))]]) ).

cnf(refute_0_1,plain,
    ( ~ is_a_theorem(X_127)
    | ~ is_a_theorem(implies(X_127,implies(implies(X_127,X_129),implies(X_128,X_129))))
    | is_a_theorem(implies(implies(X_127,X_129),implies(X_128,X_129))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_127)),bind(Y,$fot(implies(implies(X_127,X_129),implies(X_128,X_129))))]]) ).

cnf(refute_0_2,plain,
    ( ~ is_a_theorem(X_16)
    | ~ is_a_theorem(implies(X_16,implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13)))))
    | is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_16)),bind(Y,$fot(implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13)))))]]) ).

cnf(refute_0_3,plain,
    is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(X_9,implies(implies(S,P),implies(R,P))))),
    inference(subst,[],[ic_JLukasiewicz_4:[bind(T,$fot(X_9))]]) ).

cnf(refute_0_4,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4,X_5)))
    | ~ is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(X_6,implies(implies(X_5,X_2),implies(X_4,X_2)))))
    | is_a_theorem(implies(X_6,implies(implies(X_5,X_2),implies(X_4,X_2)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_2,X_3),implies(X_4,X_5)))),bind(Y,$fot(implies(X_6,implies(implies(X_5,X_2),implies(X_4,X_2)))))]]) ).

cnf(refute_0_5,plain,
    is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(X_6,implies(implies(X_5,X_2),implies(X_4,X_2))))),
    inference(subst,[],[ic_JLukasiewicz_4:[bind(P,$fot(X_2)),bind(Q,$fot(X_3)),bind(R,$fot(X_4)),bind(S,$fot(X_5)),bind(T,$fot(X_6))]]) ).

cnf(refute_0_6,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_4,X_5)))
    | is_a_theorem(implies(X_6,implies(implies(X_5,X_2),implies(X_4,X_2)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2,X_3),implies(X_4,X_5)),implies(X_6,implies(implies(X_5,X_2),implies(X_4,X_2))))) )],[refute_0_5,refute_0_4]) ).

cnf(refute_0_7,plain,
    ( ~ is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(X_9,implies(implies(S,P),implies(R,P)))))
    | is_a_theorem(implies(X_11,implies(implies(implies(implies(S,P),implies(R,P)),implies(P,Q)),implies(X_9,implies(P,Q))))) ),
    inference(subst,[],[refute_0_6:[bind(X_2,$fot(implies(P,Q))),bind(X_3,$fot(implies(R,S))),bind(X_4,$fot(X_9)),bind(X_5,$fot(implies(implies(S,P),implies(R,P)))),bind(X_6,$fot(X_11))]]) ).

cnf(refute_0_8,plain,
    is_a_theorem(implies(X_11,implies(implies(implies(implies(S,P),implies(R,P)),implies(P,Q)),implies(X_9,implies(P,Q))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(X_9,implies(implies(S,P),implies(R,P))))) )],[refute_0_3,refute_0_7]) ).

cnf(refute_0_9,plain,
    is_a_theorem(implies(X_16,implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13))))),
    inference(subst,[],[refute_0_8:[bind(P,$fot(X_12)),bind(Q,$fot(X_13)),bind(R,$fot(X_14)),bind(S,$fot(X_15)),bind(X_11,$fot(X_16)),bind(X_9,$fot(X_17))]]) ).

cnf(refute_0_10,plain,
    ( ~ is_a_theorem(X_16)
    | is_a_theorem(implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_16,implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13))))) )],[refute_0_9,refute_0_2]) ).

cnf(refute_0_11,plain,
    ( ~ is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P)))))
    | is_a_theorem(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26)))) ),
    inference(subst,[],[refute_0_10:[bind(X_12,$fot(X_25)),bind(X_13,$fot(X_26)),bind(X_14,$fot(X_27)),bind(X_15,$fot(X_28)),bind(X_16,$fot(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P)))))),bind(X_17,$fot(X_30))]]) ).

cnf(refute_0_12,plain,
    is_a_theorem(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) )],[ic_JLukasiewicz_4,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ is_a_theorem(X_57)
    | ~ is_a_theorem(implies(X_57,implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56)))))
    | is_a_theorem(implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_57)),bind(Y,$fot(implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56)))))]]) ).

cnf(refute_0_14,plain,
    is_a_theorem(implies(implies(implies(X_45,X_42),implies(X_44,X_42)),implies(X_42,implies(implies(X_42,X_45),implies(X_44,X_45))))),
    inference(subst,[],[ic_JLukasiewicz_4:[bind(P,$fot(X_45)),bind(Q,$fot(X_42)),bind(R,$fot(X_44)),bind(S,$fot(X_42)),bind(T,$fot(X_42))]]) ).

cnf(refute_0_15,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_34,X_31),implies(X_33,X_31)),implies(X_31,X_32)))
    | ~ is_a_theorem(implies(implies(implies(implies(X_34,X_31),implies(X_33,X_31)),implies(X_31,X_32)),implies(X_35,implies(X_31,X_32))))
    | is_a_theorem(implies(X_35,implies(X_31,X_32))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_34,X_31),implies(X_33,X_31)),implies(X_31,X_32)))),bind(Y,$fot(implies(X_35,implies(X_31,X_32))))]]) ).

cnf(refute_0_16,plain,
    is_a_theorem(implies(implies(implies(implies(X_34,X_31),implies(X_33,X_31)),implies(X_31,X_32)),implies(X_35,implies(X_31,X_32)))),
    inference(subst,[],[refute_0_12:[bind(X_25,$fot(X_31)),bind(X_26,$fot(X_32)),bind(X_27,$fot(X_33)),bind(X_28,$fot(X_34)),bind(X_30,$fot(X_35))]]) ).

cnf(refute_0_17,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_34,X_31),implies(X_33,X_31)),implies(X_31,X_32)))
    | is_a_theorem(implies(X_35,implies(X_31,X_32))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_34,X_31),implies(X_33,X_31)),implies(X_31,X_32)),implies(X_35,implies(X_31,X_32)))) )],[refute_0_16,refute_0_15]) ).

cnf(refute_0_18,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_45,X_42),implies(X_44,X_42)),implies(X_42,implies(implies(X_42,X_45),implies(X_44,X_45)))))
    | is_a_theorem(implies(X_46,implies(X_42,implies(implies(X_42,X_45),implies(X_44,X_45))))) ),
    inference(subst,[],[refute_0_17:[bind(X_31,$fot(X_42)),bind(X_32,$fot(implies(implies(X_42,X_45),implies(X_44,X_45)))),bind(X_33,$fot(X_44)),bind(X_34,$fot(X_45)),bind(X_35,$fot(X_46))]]) ).

cnf(refute_0_19,plain,
    is_a_theorem(implies(X_46,implies(X_42,implies(implies(X_42,X_45),implies(X_44,X_45))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_45,X_42),implies(X_44,X_42)),implies(X_42,implies(implies(X_42,X_45),implies(X_44,X_45))))) )],[refute_0_14,refute_0_18]) ).

cnf(refute_0_20,plain,
    is_a_theorem(implies(X_57,implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56))))),
    inference(subst,[],[refute_0_19:[bind(X_42,$fot(X_54)),bind(X_44,$fot(X_55)),bind(X_45,$fot(X_56)),bind(X_46,$fot(X_57))]]) ).

cnf(refute_0_21,plain,
    ( ~ is_a_theorem(X_57)
    | is_a_theorem(implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_57,implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56))))) )],[refute_0_20,refute_0_13]) ).

cnf(refute_0_22,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26))))
    | is_a_theorem(implies(X_123,implies(implies(X_123,X_125),implies(X_124,X_125)))) ),
    inference(subst,[],[refute_0_21:[bind(X_54,$fot(X_123)),bind(X_55,$fot(X_124)),bind(X_56,$fot(X_125)),bind(X_57,$fot(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26)))))]]) ).

cnf(refute_0_23,plain,
    is_a_theorem(implies(X_123,implies(implies(X_123,X_125),implies(X_124,X_125)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26)))) )],[refute_0_12,refute_0_22]) ).

cnf(refute_0_24,plain,
    is_a_theorem(implies(X_127,implies(implies(X_127,X_129),implies(X_128,X_129)))),
    inference(subst,[],[refute_0_23:[bind(X_123,$fot(X_127)),bind(X_124,$fot(X_128)),bind(X_125,$fot(X_129))]]) ).

cnf(refute_0_25,plain,
    ( ~ is_a_theorem(X_127)
    | is_a_theorem(implies(implies(X_127,X_129),implies(X_128,X_129))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_127,implies(implies(X_127,X_129),implies(X_128,X_129)))) )],[refute_0_24,refute_0_1]) ).

cnf(refute_0_26,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574)))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574)),X_129),implies(X_128,X_129))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574))))]]) ).

cnf(refute_0_27,plain,
    ( ~ is_a_theorem(implies(implies(X_568,X_568),implies(X_568,X_568)))
    | is_a_theorem(implies(implies(implies(implies(X_568,X_568),implies(X_568,X_568)),X_129),implies(X_128,X_129))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(implies(X_568,X_568),implies(X_568,X_568))))]]) ).

cnf(refute_0_28,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285))))]]) ).

cnf(refute_0_29,plain,
    ( ~ is_a_theorem(X_68)
    | ~ is_a_theorem(implies(X_68,implies(implies(implies(X_69,X_70),X_69),implies(X_70,X_69))))
    | is_a_theorem(implies(implies(implies(X_69,X_70),X_69),implies(X_70,X_69))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_68)),bind(Y,$fot(implies(implies(implies(X_69,X_70),X_69),implies(X_70,X_69))))]]) ).

cnf(refute_0_30,plain,
    ( ~ is_a_theorem(implies(implies(X_66,X_67),implies(X_67,implies(X_66,X_67))))
    | is_a_theorem(implies(X_6,implies(implies(implies(X_66,X_67),X_66),implies(X_67,X_66)))) ),
    inference(subst,[],[refute_0_6:[bind(X_2,$fot(X_66)),bind(X_3,$fot(X_67)),bind(X_4,$fot(X_67)),bind(X_5,$fot(implies(X_66,X_67)))]]) ).

cnf(refute_0_31,plain,
    ( ~ is_a_theorem(X_49)
    | ~ is_a_theorem(implies(X_49,implies(implies(X_47,X_48),implies(X_48,implies(X_47,X_48)))))
    | is_a_theorem(implies(implies(X_47,X_48),implies(X_48,implies(X_47,X_48)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_49)),bind(Y,$fot(implies(implies(X_47,X_48),implies(X_48,implies(X_47,X_48)))))]]) ).

cnf(refute_0_32,plain,
    is_a_theorem(implies(implies(implies(implies(X_28,X_44),implies(X_27,X_44)),implies(X_44,implies(X_27,X_44))),implies(implies(X_27,X_44),implies(X_44,implies(X_27,X_44))))),
    inference(subst,[],[refute_0_12:[bind(X_25,$fot(X_44)),bind(X_26,$fot(implies(X_27,X_44))),bind(X_30,$fot(implies(X_27,X_44)))]]) ).

cnf(refute_0_33,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_28,X_44),implies(X_27,X_44)),implies(X_44,implies(X_27,X_44))),implies(implies(X_27,X_44),implies(X_44,implies(X_27,X_44)))))
    | is_a_theorem(implies(X_46,implies(implies(X_27,X_44),implies(X_44,implies(X_27,X_44))))) ),
    inference(subst,[],[refute_0_17:[bind(X_31,$fot(implies(X_27,X_44))),bind(X_32,$fot(implies(X_44,implies(X_27,X_44)))),bind(X_33,$fot(X_44)),bind(X_34,$fot(implies(X_28,X_44))),bind(X_35,$fot(X_46))]]) ).

cnf(refute_0_34,plain,
    is_a_theorem(implies(X_46,implies(implies(X_27,X_44),implies(X_44,implies(X_27,X_44))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_28,X_44),implies(X_27,X_44)),implies(X_44,implies(X_27,X_44))),implies(implies(X_27,X_44),implies(X_44,implies(X_27,X_44))))) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    is_a_theorem(implies(X_49,implies(implies(X_47,X_48),implies(X_48,implies(X_47,X_48))))),
    inference(subst,[],[refute_0_34:[bind(X_27,$fot(X_47)),bind(X_44,$fot(X_48)),bind(X_46,$fot(X_49))]]) ).

cnf(refute_0_36,plain,
    ( ~ is_a_theorem(X_49)
    | is_a_theorem(implies(implies(X_47,X_48),implies(X_48,implies(X_47,X_48)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_49,implies(implies(X_47,X_48),implies(X_48,implies(X_47,X_48))))) )],[refute_0_35,refute_0_31]) ).

cnf(refute_0_37,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26))))
    | is_a_theorem(implies(implies(X_63,X_64),implies(X_64,implies(X_63,X_64)))) ),
    inference(subst,[],[refute_0_36:[bind(X_47,$fot(X_63)),bind(X_48,$fot(X_64)),bind(X_49,$fot(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26)))))]]) ).

cnf(refute_0_38,plain,
    is_a_theorem(implies(implies(X_63,X_64),implies(X_64,implies(X_63,X_64)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26)))) )],[refute_0_12,refute_0_37]) ).

cnf(refute_0_39,plain,
    is_a_theorem(implies(implies(X_66,X_67),implies(X_67,implies(X_66,X_67)))),
    inference(subst,[],[refute_0_38:[bind(X_63,$fot(X_66)),bind(X_64,$fot(X_67))]]) ).

cnf(refute_0_40,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(X_66,X_67),X_66),implies(X_67,X_66)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_66,X_67),implies(X_67,implies(X_66,X_67)))) )],[refute_0_39,refute_0_30]) ).

cnf(refute_0_41,plain,
    is_a_theorem(implies(X_68,implies(implies(implies(X_69,X_70),X_69),implies(X_70,X_69)))),
    inference(subst,[],[refute_0_40:[bind(X_6,$fot(X_68)),bind(X_66,$fot(X_69)),bind(X_67,$fot(X_70))]]) ).

cnf(refute_0_42,plain,
    ( ~ is_a_theorem(X_68)
    | is_a_theorem(implies(implies(implies(X_69,X_70),X_69),implies(X_70,X_69))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_68,implies(implies(implies(X_69,X_70),X_69),implies(X_70,X_69)))) )],[refute_0_41,refute_0_29]) ).

cnf(refute_0_43,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26))))
    | is_a_theorem(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78))) ),
    inference(subst,[],[refute_0_42:[bind(X_68,$fot(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26))))),bind(X_69,$fot(X_78)),bind(X_70,$fot(X_79))]]) ).

cnf(refute_0_44,plain,
    is_a_theorem(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_28,X_25),implies(X_27,X_25)),implies(X_25,X_26)),implies(X_30,implies(X_25,X_26)))) )],[refute_0_12,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)),X_132),implies(X_131,X_132))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)))),bind(X_128,$fot(X_131)),bind(X_129,$fot(X_132))]]) ).

cnf(refute_0_46,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)),X_132),implies(X_131,X_132))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78))) )],[refute_0_44,refute_0_45]) ).

cnf(refute_0_47,plain,
    ( ~ is_a_theorem(X_62)
    | ~ is_a_theorem(implies(X_62,implies(implies(implies(implies(X_59,X_61),implies(X_60,X_61)),X_58),implies(X_59,X_58))))
    | is_a_theorem(implies(implies(implies(implies(X_59,X_61),implies(X_60,X_61)),X_58),implies(X_59,X_58))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_62)),bind(Y,$fot(implies(implies(implies(implies(X_59,X_61),implies(X_60,X_61)),X_58),implies(X_59,X_58))))]]) ).

cnf(refute_0_48,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56)))))
    | is_a_theorem(implies(X_6,implies(implies(implies(implies(X_54,X_56),implies(X_55,X_56)),X_2),implies(X_54,X_2)))) ),
    inference(subst,[],[refute_0_6:[bind(X_4,$fot(X_54)),bind(X_5,$fot(implies(implies(X_54,X_56),implies(X_55,X_56))))]]) ).

cnf(refute_0_49,plain,
    is_a_theorem(implies(implies(X_2,X_3),implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56))))),
    inference(subst,[],[refute_0_19:[bind(X_42,$fot(X_54)),bind(X_44,$fot(X_55)),bind(X_45,$fot(X_56)),bind(X_46,$fot(implies(X_2,X_3)))]]) ).

cnf(refute_0_50,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(implies(X_54,X_56),implies(X_55,X_56)),X_2),implies(X_54,X_2)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_54,implies(implies(X_54,X_56),implies(X_55,X_56))))) )],[refute_0_49,refute_0_48]) ).

cnf(refute_0_51,plain,
    is_a_theorem(implies(X_62,implies(implies(implies(implies(X_59,X_61),implies(X_60,X_61)),X_58),implies(X_59,X_58)))),
    inference(subst,[],[refute_0_50:[bind(X_2,$fot(X_58)),bind(X_54,$fot(X_59)),bind(X_55,$fot(X_60)),bind(X_56,$fot(X_61)),bind(X_6,$fot(X_62))]]) ).

cnf(refute_0_52,plain,
    ( ~ is_a_theorem(X_62)
    | is_a_theorem(implies(implies(implies(implies(X_59,X_61),implies(X_60,X_61)),X_58),implies(X_59,X_58))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_62,implies(implies(implies(implies(X_59,X_61),implies(X_60,X_61)),X_58),implies(X_59,X_58)))) )],[refute_0_51,refute_0_47]) ).

cnf(refute_0_53,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)),X_132),implies(X_131,X_132)))
    | is_a_theorem(implies(implies(implies(implies(X_281,X_283),implies(X_282,X_283)),X_280),implies(X_281,X_280))) ),
    inference(subst,[],[refute_0_52:[bind(X_58,$fot(X_280)),bind(X_59,$fot(X_281)),bind(X_60,$fot(X_282)),bind(X_61,$fot(X_283)),bind(X_62,$fot(implies(implies(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)),X_132),implies(X_131,X_132))))]]) ).

cnf(refute_0_54,plain,
    is_a_theorem(implies(implies(implies(implies(X_281,X_283),implies(X_282,X_283)),X_280),implies(X_281,X_280))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)),X_132),implies(X_131,X_132))) )],[refute_0_46,refute_0_53]) ).

cnf(refute_0_55,plain,
    is_a_theorem(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285))),
    inference(subst,[],[refute_0_54:[bind(X_280,$fot(X_285)),bind(X_281,$fot(X_286)),bind(X_282,$fot(X_287)),bind(X_283,$fot(X_288))]]) ).

cnf(refute_0_56,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285))) )],[refute_0_55,refute_0_28]) ).

cnf(refute_0_57,plain,
    ( ~ is_a_theorem(X_550)
    | ~ is_a_theorem(implies(X_550,implies(implies(X_549,X_549),implies(X_549,X_549))))
    | is_a_theorem(implies(implies(X_549,X_549),implies(X_549,X_549))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_550)),bind(Y,$fot(implies(implies(X_549,X_549),implies(X_549,X_549))))]]) ).

cnf(refute_0_58,plain,
    ( ~ is_a_theorem(X_539)
    | ~ is_a_theorem(implies(X_539,implies(X_541,implies(implies(X_540,X_540),implies(X_540,X_540)))))
    | is_a_theorem(implies(X_541,implies(implies(X_540,X_540),implies(X_540,X_540)))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_539)),bind(Y,$fot(implies(X_541,implies(implies(X_540,X_540),implies(X_540,X_540)))))]]) ).

cnf(refute_0_59,plain,
    ( ~ is_a_theorem(implies(implies(X_135,implies(X_135,X_135)),X_134))
    | ~ is_a_theorem(implies(implies(implies(X_135,implies(X_135,X_135)),X_134),implies(X_133,X_134)))
    | is_a_theorem(implies(X_133,X_134)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_135,implies(X_135,X_135)),X_134))),bind(Y,$fot(implies(X_133,X_134)))]]) ).

cnf(refute_0_60,plain,
    is_a_theorem(implies(implies(implies(X_90,X_90),X_90),implies(X_90,X_90))),
    inference(subst,[],[refute_0_44:[bind(X_78,$fot(X_90)),bind(X_79,$fot(X_90))]]) ).

cnf(refute_0_61,plain,
    ( ~ is_a_theorem(implies(implies(X_80,X_81),X_80))
    | ~ is_a_theorem(implies(implies(implies(X_80,X_81),X_80),implies(X_81,X_80)))
    | is_a_theorem(implies(X_81,X_80)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_80,X_81),X_80))),bind(Y,$fot(implies(X_81,X_80)))]]) ).

cnf(refute_0_62,plain,
    is_a_theorem(implies(implies(implies(X_80,X_81),X_80),implies(X_81,X_80))),
    inference(subst,[],[refute_0_44:[bind(X_78,$fot(X_80)),bind(X_79,$fot(X_81))]]) ).

cnf(refute_0_63,plain,
    ( ~ is_a_theorem(implies(implies(X_80,X_81),X_80))
    | is_a_theorem(implies(X_81,X_80)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_80,X_81),X_80),implies(X_81,X_80))) )],[refute_0_62,refute_0_61]) ).

cnf(refute_0_64,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_90,X_90),X_90),implies(X_90,X_90)))
    | is_a_theorem(implies(X_90,implies(X_90,X_90))) ),
    inference(subst,[],[refute_0_63:[bind(X_80,$fot(implies(X_90,X_90))),bind(X_81,$fot(X_90))]]) ).

cnf(refute_0_65,plain,
    is_a_theorem(implies(X_90,implies(X_90,X_90))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_90,X_90),X_90),implies(X_90,X_90))) )],[refute_0_60,refute_0_64]) ).

cnf(refute_0_66,plain,
    ( ~ is_a_theorem(implies(X_90,implies(X_90,X_90)))
    | is_a_theorem(implies(implies(implies(X_90,implies(X_90,X_90)),X_132),implies(X_131,X_132))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(X_90,implies(X_90,X_90)))),bind(X_128,$fot(X_131)),bind(X_129,$fot(X_132))]]) ).

cnf(refute_0_67,plain,
    is_a_theorem(implies(implies(implies(X_90,implies(X_90,X_90)),X_132),implies(X_131,X_132))),
    inference(resolve,[$cnf( is_a_theorem(implies(X_90,implies(X_90,X_90))) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    is_a_theorem(implies(implies(implies(X_135,implies(X_135,X_135)),X_134),implies(X_133,X_134))),
    inference(subst,[],[refute_0_67:[bind(X_131,$fot(X_133)),bind(X_132,$fot(X_134)),bind(X_90,$fot(X_135))]]) ).

cnf(refute_0_69,plain,
    ( ~ is_a_theorem(implies(implies(X_135,implies(X_135,X_135)),X_134))
    | is_a_theorem(implies(X_133,X_134)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_135,implies(X_135,X_135)),X_134),implies(X_133,X_134))) )],[refute_0_68,refute_0_59]) ).

cnf(refute_0_70,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_536,X_536),implies(implies(X_536,X_536),implies(X_536,X_536))),implies(X_538,implies(implies(X_536,X_536),implies(X_536,X_536)))))
    | is_a_theorem(implies(X_133,implies(X_538,implies(implies(X_536,X_536),implies(X_536,X_536))))) ),
    inference(subst,[],[refute_0_69:[bind(X_134,$fot(implies(X_538,implies(implies(X_536,X_536),implies(X_536,X_536))))),bind(X_135,$fot(implies(X_536,X_536)))]]) ).

cnf(refute_0_71,plain,
    ( ~ is_a_theorem(X_41)
    | ~ is_a_theorem(implies(X_41,implies(implies(implies(X_36,X_37),implies(implies(X_39,X_36),implies(X_38,X_36))),implies(X_40,implies(implies(X_39,X_36),implies(X_38,X_36))))))
    | is_a_theorem(implies(implies(implies(X_36,X_37),implies(implies(X_39,X_36),implies(X_38,X_36))),implies(X_40,implies(implies(X_39,X_36),implies(X_38,X_36))))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_41)),bind(Y,$fot(implies(implies(implies(X_36,X_37),implies(implies(X_39,X_36),implies(X_38,X_36))),implies(X_40,implies(implies(X_39,X_36),implies(X_38,X_36))))))]]) ).

cnf(refute_0_72,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_34,X_31),implies(X_33,X_31)),implies(X_31,X_32)),implies(X_35,implies(X_31,X_32))))
    | is_a_theorem(implies(X_6,implies(implies(implies(X_31,X_32),implies(implies(X_34,X_31),implies(X_33,X_31))),implies(X_35,implies(implies(X_34,X_31),implies(X_33,X_31)))))) ),
    inference(subst,[],[refute_0_6:[bind(X_2,$fot(implies(implies(X_34,X_31),implies(X_33,X_31)))),bind(X_3,$fot(implies(X_31,X_32))),bind(X_4,$fot(X_35)),bind(X_5,$fot(implies(X_31,X_32)))]]) ).

cnf(refute_0_73,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(X_31,X_32),implies(implies(X_34,X_31),implies(X_33,X_31))),implies(X_35,implies(implies(X_34,X_31),implies(X_33,X_31)))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_34,X_31),implies(X_33,X_31)),implies(X_31,X_32)),implies(X_35,implies(X_31,X_32)))) )],[refute_0_16,refute_0_72]) ).

cnf(refute_0_74,plain,
    is_a_theorem(implies(X_41,implies(implies(implies(X_36,X_37),implies(implies(X_39,X_36),implies(X_38,X_36))),implies(X_40,implies(implies(X_39,X_36),implies(X_38,X_36)))))),
    inference(subst,[],[refute_0_73:[bind(X_31,$fot(X_36)),bind(X_32,$fot(X_37)),bind(X_33,$fot(X_38)),bind(X_34,$fot(X_39)),bind(X_35,$fot(X_40)),bind(X_6,$fot(X_41))]]) ).

cnf(refute_0_75,plain,
    ( ~ is_a_theorem(X_41)
    | is_a_theorem(implies(implies(implies(X_36,X_37),implies(implies(X_39,X_36),implies(X_38,X_36))),implies(X_40,implies(implies(X_39,X_36),implies(X_38,X_36))))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_41,implies(implies(implies(X_36,X_37),implies(implies(X_39,X_36),implies(X_38,X_36))),implies(X_40,implies(implies(X_39,X_36),implies(X_38,X_36)))))) )],[refute_0_74,refute_0_71]) ).

cnf(refute_0_76,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129)))
    | is_a_theorem(implies(implies(implies(X_528,X_529),implies(implies(X_531,X_528),implies(X_530,X_528))),implies(X_532,implies(implies(X_531,X_528),implies(X_530,X_528))))) ),
    inference(subst,[],[refute_0_75:[bind(X_36,$fot(X_528)),bind(X_37,$fot(X_529)),bind(X_38,$fot(X_530)),bind(X_39,$fot(X_531)),bind(X_40,$fot(X_532)),bind(X_41,$fot(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))))]]) ).

cnf(refute_0_77,plain,
    is_a_theorem(implies(implies(implies(X_528,X_529),implies(implies(X_531,X_528),implies(X_530,X_528))),implies(X_532,implies(implies(X_531,X_528),implies(X_530,X_528))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))) )],[refute_0_56,refute_0_76]) ).

cnf(refute_0_78,plain,
    is_a_theorem(implies(implies(implies(X_536,X_536),implies(implies(X_536,X_536),implies(X_536,X_536))),implies(X_538,implies(implies(X_536,X_536),implies(X_536,X_536))))),
    inference(subst,[],[refute_0_77:[bind(X_528,$fot(X_536)),bind(X_529,$fot(X_536)),bind(X_530,$fot(X_536)),bind(X_531,$fot(X_536)),bind(X_532,$fot(X_538))]]) ).

cnf(refute_0_79,plain,
    is_a_theorem(implies(X_133,implies(X_538,implies(implies(X_536,X_536),implies(X_536,X_536))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_536,X_536),implies(implies(X_536,X_536),implies(X_536,X_536))),implies(X_538,implies(implies(X_536,X_536),implies(X_536,X_536))))) )],[refute_0_78,refute_0_70]) ).

cnf(refute_0_80,plain,
    is_a_theorem(implies(X_539,implies(X_541,implies(implies(X_540,X_540),implies(X_540,X_540))))),
    inference(subst,[],[refute_0_79:[bind(X_133,$fot(X_539)),bind(X_536,$fot(X_540)),bind(X_538,$fot(X_541))]]) ).

cnf(refute_0_81,plain,
    ( ~ is_a_theorem(X_539)
    | is_a_theorem(implies(X_541,implies(implies(X_540,X_540),implies(X_540,X_540)))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_539,implies(X_541,implies(implies(X_540,X_540),implies(X_540,X_540))))) )],[refute_0_80,refute_0_58]) ).

cnf(refute_0_82,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129)))
    | is_a_theorem(implies(X_548,implies(implies(X_547,X_547),implies(X_547,X_547)))) ),
    inference(subst,[],[refute_0_81:[bind(X_539,$fot(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129)))),bind(X_540,$fot(X_547)),bind(X_541,$fot(X_548))]]) ).

cnf(refute_0_83,plain,
    is_a_theorem(implies(X_548,implies(implies(X_547,X_547),implies(X_547,X_547)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))) )],[refute_0_56,refute_0_82]) ).

cnf(refute_0_84,plain,
    is_a_theorem(implies(X_550,implies(implies(X_549,X_549),implies(X_549,X_549)))),
    inference(subst,[],[refute_0_83:[bind(X_547,$fot(X_549)),bind(X_548,$fot(X_550))]]) ).

cnf(refute_0_85,plain,
    ( ~ is_a_theorem(X_550)
    | is_a_theorem(implies(implies(X_549,X_549),implies(X_549,X_549))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_550,implies(implies(X_549,X_549),implies(X_549,X_549)))) )],[refute_0_84,refute_0_57]) ).

cnf(refute_0_86,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129)))
    | is_a_theorem(implies(implies(X_566,X_566),implies(X_566,X_566))) ),
    inference(subst,[],[refute_0_85:[bind(X_549,$fot(X_566)),bind(X_550,$fot(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))))]]) ).

cnf(refute_0_87,plain,
    is_a_theorem(implies(implies(X_566,X_566),implies(X_566,X_566))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))) )],[refute_0_56,refute_0_86]) ).

cnf(refute_0_88,plain,
    is_a_theorem(implies(implies(X_568,X_568),implies(X_568,X_568))),
    inference(subst,[],[refute_0_87:[bind(X_566,$fot(X_568))]]) ).

cnf(refute_0_89,plain,
    is_a_theorem(implies(implies(implies(implies(X_568,X_568),implies(X_568,X_568)),X_129),implies(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_568,X_568),implies(X_568,X_568))) )],[refute_0_88,refute_0_27]) ).

cnf(refute_0_90,plain,
    is_a_theorem(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574))),
    inference(subst,[],[refute_0_89:[bind(X_128,$fot(X_573)),bind(X_129,$fot(X_574)),bind(X_568,$fot(X_575))]]) ).

cnf(refute_0_91,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574)),X_129),implies(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574))) )],[refute_0_90,refute_0_26]) ).

cnf(refute_0_92,plain,
    ( ~ is_a_theorem(X_253)
    | ~ is_a_theorem(implies(X_253,implies(implies(implies(implies(implies(implies(X_250,X_246),implies(X_249,X_246)),implies(X_246,X_247)),X_252),X_248),implies(implies(implies(X_251,implies(X_246,X_247)),X_252),X_248))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(X_250,X_246),implies(X_249,X_246)),implies(X_246,X_247)),X_252),X_248),implies(implies(implies(X_251,implies(X_246,X_247)),X_252),X_248))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_253)),bind(Y,$fot(implies(implies(implies(implies(implies(implies(X_250,X_246),implies(X_249,X_246)),implies(X_246,X_247)),X_252),X_248),implies(implies(implies(X_251,implies(X_246,X_247)),X_252),X_248))))]]) ).

cnf(refute_0_93,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23))))
    | is_a_theorem(implies(X_6,implies(implies(implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23),X_2),implies(implies(implies(X_22,implies(X_18,X_19)),X_23),X_2)))) ),
    inference(subst,[],[refute_0_6:[bind(X_4,$fot(implies(implies(X_22,implies(X_18,X_19)),X_23))),bind(X_5,$fot(implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23)))]]) ).

cnf(refute_0_94,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13)))))
    | is_a_theorem(implies(X_6,implies(implies(implies(X_17,implies(X_12,X_13)),X_2),implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),X_2)))) ),
    inference(subst,[],[refute_0_6:[bind(X_4,$fot(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)))),bind(X_5,$fot(implies(X_17,implies(X_12,X_13))))]]) ).

cnf(refute_0_95,plain,
    is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13))))),
    inference(subst,[],[refute_0_8:[bind(P,$fot(X_12)),bind(Q,$fot(X_13)),bind(R,$fot(X_14)),bind(S,$fot(X_15)),bind(X_11,$fot(implies(X_2,X_3))),bind(X_9,$fot(X_17))]]) ).

cnf(refute_0_96,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(X_17,implies(X_12,X_13)),X_2),implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),X_2)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(implies(X_15,X_12),implies(X_14,X_12)),implies(X_12,X_13)),implies(X_17,implies(X_12,X_13))))) )],[refute_0_95,refute_0_94]) ).

cnf(refute_0_97,plain,
    is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23)))),
    inference(subst,[],[refute_0_96:[bind(X_12,$fot(X_18)),bind(X_13,$fot(X_19)),bind(X_14,$fot(X_20)),bind(X_15,$fot(X_21)),bind(X_17,$fot(X_22)),bind(X_2,$fot(X_23)),bind(X_6,$fot(implies(X_2,X_3)))]]) ).

cnf(refute_0_98,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23),X_2),implies(implies(implies(X_22,implies(X_18,X_19)),X_23),X_2)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23)))) )],[refute_0_97,refute_0_93]) ).

cnf(refute_0_99,plain,
    is_a_theorem(implies(X_253,implies(implies(implies(implies(implies(implies(X_250,X_246),implies(X_249,X_246)),implies(X_246,X_247)),X_252),X_248),implies(implies(implies(X_251,implies(X_246,X_247)),X_252),X_248)))),
    inference(subst,[],[refute_0_98:[bind(X_18,$fot(X_246)),bind(X_19,$fot(X_247)),bind(X_2,$fot(X_248)),bind(X_20,$fot(X_249)),bind(X_21,$fot(X_250)),bind(X_22,$fot(X_251)),bind(X_23,$fot(X_252)),bind(X_6,$fot(X_253))]]) ).

cnf(refute_0_100,plain,
    ( ~ is_a_theorem(X_253)
    | is_a_theorem(implies(implies(implies(implies(implies(implies(X_250,X_246),implies(X_249,X_246)),implies(X_246,X_247)),X_252),X_248),implies(implies(implies(X_251,implies(X_246,X_247)),X_252),X_248))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_253,implies(implies(implies(implies(implies(implies(X_250,X_246),implies(X_249,X_246)),implies(X_246,X_247)),X_252),X_248),implies(implies(implies(X_251,implies(X_246,X_247)),X_252),X_248)))) )],[refute_0_99,refute_0_92]) ).

cnf(refute_0_101,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574)),X_129),implies(X_128,X_129)))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272))) ),
    inference(subst,[],[refute_0_100:[bind(X_246,$fot(X_1270)),bind(X_247,$fot(X_1271)),bind(X_248,$fot(X_1272)),bind(X_249,$fot(X_1273)),bind(X_250,$fot(X_1274)),bind(X_251,$fot(X_1275)),bind(X_252,$fot(X_1276)),bind(X_253,$fot(implies(implies(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574)),X_129),implies(X_128,X_129))))]]) ).

cnf(refute_0_102,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_575,X_575),implies(X_575,X_575)),X_574),implies(X_573,X_574)),X_129),implies(X_128,X_129))) )],[refute_0_91,refute_0_101]) ).

cnf(refute_0_103,plain,
    ( ~ is_a_theorem(X_86)
    | ~ is_a_theorem(implies(X_86,implies(implies(implies(X_87,X_88),X_85),implies(X_88,X_85))))
    | is_a_theorem(implies(implies(implies(X_87,X_88),X_85),implies(X_88,X_85))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_86)),bind(Y,$fot(implies(implies(implies(X_87,X_88),X_85),implies(X_88,X_85))))]]) ).

cnf(refute_0_104,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_84,implies(X_82,X_84))))
    | is_a_theorem(implies(X_6,implies(implies(implies(X_82,X_84),X_2),implies(X_84,X_2)))) ),
    inference(subst,[],[refute_0_6:[bind(X_4,$fot(X_84)),bind(X_5,$fot(implies(X_82,X_84)))]]) ).

cnf(refute_0_105,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_33,X_81),X_81),implies(X_33,X_81)),implies(X_81,implies(X_33,X_81))))
    | is_a_theorem(implies(X_35,implies(X_81,implies(X_33,X_81)))) ),
    inference(subst,[],[refute_0_17:[bind(X_31,$fot(X_81)),bind(X_32,$fot(implies(X_33,X_81))),bind(X_34,$fot(implies(X_33,X_81)))]]) ).

cnf(refute_0_106,plain,
    is_a_theorem(implies(implies(implies(implies(X_33,X_81),X_81),implies(X_33,X_81)),implies(X_81,implies(X_33,X_81)))),
    inference(subst,[],[refute_0_44:[bind(X_78,$fot(implies(X_33,X_81))),bind(X_79,$fot(X_81))]]) ).

cnf(refute_0_107,plain,
    is_a_theorem(implies(X_35,implies(X_81,implies(X_33,X_81)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_33,X_81),X_81),implies(X_33,X_81)),implies(X_81,implies(X_33,X_81)))) )],[refute_0_106,refute_0_105]) ).

cnf(refute_0_108,plain,
    is_a_theorem(implies(implies(X_2,X_3),implies(X_84,implies(X_82,X_84)))),
    inference(subst,[],[refute_0_107:[bind(X_33,$fot(X_82)),bind(X_35,$fot(implies(X_2,X_3))),bind(X_81,$fot(X_84))]]) ).

cnf(refute_0_109,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(X_82,X_84),X_2),implies(X_84,X_2)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_84,implies(X_82,X_84)))) )],[refute_0_108,refute_0_104]) ).

cnf(refute_0_110,plain,
    is_a_theorem(implies(X_86,implies(implies(implies(X_87,X_88),X_85),implies(X_88,X_85)))),
    inference(subst,[],[refute_0_109:[bind(X_2,$fot(X_85)),bind(X_6,$fot(X_86)),bind(X_82,$fot(X_87)),bind(X_84,$fot(X_88))]]) ).

cnf(refute_0_111,plain,
    ( ~ is_a_theorem(X_86)
    | is_a_theorem(implies(implies(implies(X_87,X_88),X_85),implies(X_88,X_85))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_86,implies(implies(implies(X_87,X_88),X_85),implies(X_88,X_85)))) )],[refute_0_110,refute_0_103]) ).

cnf(refute_0_112,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272)))
    | is_a_theorem(implies(implies(implies(X_1509,X_1510),X_1507),implies(X_1510,X_1507))) ),
    inference(subst,[],[refute_0_111:[bind(X_85,$fot(X_1507)),bind(X_86,$fot(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272)))),bind(X_87,$fot(X_1509)),bind(X_88,$fot(X_1510))]]) ).

cnf(refute_0_113,plain,
    is_a_theorem(implies(implies(implies(X_1509,X_1510),X_1507),implies(X_1510,X_1507))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272))) )],[refute_0_102,refute_0_112]) ).

cnf(refute_0_114,plain,
    is_a_theorem(implies(implies(implies(X_1512,X_1513),X_1511),implies(X_1513,X_1511))),
    inference(subst,[],[refute_0_113:[bind(X_1507,$fot(X_1511)),bind(X_1509,$fot(X_1512)),bind(X_1510,$fot(X_1513))]]) ).

cnf(refute_0_115,plain,
    ( ~ is_a_theorem(implies(implies(X_1512,X_1513),X_1511))
    | is_a_theorem(implies(X_1513,X_1511)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1512,X_1513),X_1511),implies(X_1513,X_1511))) )],[refute_0_114,refute_0_0]) ).

cnf(refute_0_116,plain,
    ( ~ is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P)))))
    | is_a_theorem(implies(implies(R,S),implies(T,implies(implies(S,P),implies(R,P))))) ),
    inference(subst,[],[refute_0_115:[bind(X_1511,$fot(implies(T,implies(implies(S,P),implies(R,P))))),bind(X_1512,$fot(implies(P,Q))),bind(X_1513,$fot(implies(R,S)))]]) ).

cnf(refute_0_117,plain,
    is_a_theorem(implies(implies(R,S),implies(T,implies(implies(S,P),implies(R,P))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) )],[ic_JLukasiewicz_4,refute_0_116]) ).

cnf(refute_0_118,plain,
    is_a_theorem(implies(implies(R,S),implies(implies(R,S),implies(implies(S,P),implies(R,P))))),
    inference(subst,[],[refute_0_117:[bind(T,$fot(implies(R,S)))]]) ).

cnf(refute_0_119,plain,
    ( ~ is_a_theorem(implies(X_4011,implies(X_4011,X_4010)))
    | ~ is_a_theorem(implies(implies(X_4011,implies(X_4011,X_4010)),implies(X_4011,X_4010)))
    | is_a_theorem(implies(X_4011,X_4010)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_4011,implies(X_4011,X_4010)))),bind(Y,$fot(implies(X_4011,X_4010)))]]) ).

cnf(refute_0_120,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_2488,X_2489),X_2490),X_2489))
    | ~ is_a_theorem(implies(implies(implies(implies(X_2488,X_2489),X_2490),X_2489),implies(X_2488,X_2489)))
    | is_a_theorem(implies(X_2488,X_2489)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_2488,X_2489),X_2490),X_2489))),bind(Y,$fot(implies(X_2488,X_2489)))]]) ).

cnf(refute_0_121,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033)))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033)),X_129),implies(X_128,X_129))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033))))]]) ).

cnf(refute_0_122,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_2023,X_2023),X_2023),implies(implies(X_2024,X_2023),X_2023)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_2023,X_2023),X_2023),implies(implies(X_2024,X_2023),X_2023)),X_129),implies(X_128,X_129))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(implies(implies(X_2023,X_2023),X_2023),implies(implies(X_2024,X_2023),X_2023))))]]) ).

cnf(refute_0_123,plain,
    ( ~ is_a_theorem(X_95)
    | ~ is_a_theorem(implies(X_95,implies(implies(implies(X_96,X_96),X_96),implies(implies(X_97,X_96),X_96))))
    | is_a_theorem(implies(implies(implies(X_96,X_96),X_96),implies(implies(X_97,X_96),X_96))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_95)),bind(Y,$fot(implies(implies(implies(X_96,X_96),X_96),implies(implies(X_97,X_96),X_96))))]]) ).

cnf(refute_0_124,plain,
    ( ~ is_a_theorem(implies(implies(X_93,X_93),implies(implies(X_94,X_93),implies(X_93,X_93))))
    | is_a_theorem(implies(X_6,implies(implies(implies(X_93,X_93),X_93),implies(implies(X_94,X_93),X_93)))) ),
    inference(subst,[],[refute_0_6:[bind(X_2,$fot(X_93)),bind(X_3,$fot(X_93)),bind(X_4,$fot(implies(X_94,X_93))),bind(X_5,$fot(implies(X_93,X_93)))]]) ).

cnf(refute_0_125,plain,
    is_a_theorem(implies(implies(implies(implies(X_28,X_27),implies(X_27,X_27)),implies(X_27,X_27)),implies(implies(X_28,X_27),implies(X_27,X_27)))),
    inference(subst,[],[refute_0_12:[bind(X_25,$fot(X_27)),bind(X_26,$fot(X_27)),bind(X_30,$fot(implies(X_28,X_27)))]]) ).

cnf(refute_0_126,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_28,X_27),implies(X_27,X_27)),implies(X_27,X_27)),implies(implies(X_28,X_27),implies(X_27,X_27))))
    | is_a_theorem(implies(implies(X_27,X_27),implies(implies(X_28,X_27),implies(X_27,X_27)))) ),
    inference(subst,[],[refute_0_63:[bind(X_80,$fot(implies(implies(X_28,X_27),implies(X_27,X_27)))),bind(X_81,$fot(implies(X_27,X_27)))]]) ).

cnf(refute_0_127,plain,
    is_a_theorem(implies(implies(X_27,X_27),implies(implies(X_28,X_27),implies(X_27,X_27)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_28,X_27),implies(X_27,X_27)),implies(X_27,X_27)),implies(implies(X_28,X_27),implies(X_27,X_27)))) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    is_a_theorem(implies(implies(X_93,X_93),implies(implies(X_94,X_93),implies(X_93,X_93)))),
    inference(subst,[],[refute_0_127:[bind(X_27,$fot(X_93)),bind(X_28,$fot(X_94))]]) ).

cnf(refute_0_129,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(X_93,X_93),X_93),implies(implies(X_94,X_93),X_93)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_93,X_93),implies(implies(X_94,X_93),implies(X_93,X_93)))) )],[refute_0_128,refute_0_124]) ).

cnf(refute_0_130,plain,
    is_a_theorem(implies(X_95,implies(implies(implies(X_96,X_96),X_96),implies(implies(X_97,X_96),X_96)))),
    inference(subst,[],[refute_0_129:[bind(X_6,$fot(X_95)),bind(X_93,$fot(X_96)),bind(X_94,$fot(X_97))]]) ).

cnf(refute_0_131,plain,
    ( ~ is_a_theorem(X_95)
    | is_a_theorem(implies(implies(implies(X_96,X_96),X_96),implies(implies(X_97,X_96),X_96))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_95,implies(implies(implies(X_96,X_96),X_96),implies(implies(X_97,X_96),X_96)))) )],[refute_0_130,refute_0_123]) ).

cnf(refute_0_132,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272)))
    | is_a_theorem(implies(implies(implies(X_2021,X_2021),X_2021),implies(implies(X_2022,X_2021),X_2021))) ),
    inference(subst,[],[refute_0_131:[bind(X_95,$fot(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272)))),bind(X_96,$fot(X_2021)),bind(X_97,$fot(X_2022))]]) ).

cnf(refute_0_133,plain,
    is_a_theorem(implies(implies(implies(X_2021,X_2021),X_2021),implies(implies(X_2022,X_2021),X_2021))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272))) )],[refute_0_102,refute_0_132]) ).

cnf(refute_0_134,plain,
    is_a_theorem(implies(implies(implies(X_2023,X_2023),X_2023),implies(implies(X_2024,X_2023),X_2023))),
    inference(subst,[],[refute_0_133:[bind(X_2021,$fot(X_2023)),bind(X_2022,$fot(X_2024))]]) ).

cnf(refute_0_135,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_2023,X_2023),X_2023),implies(implies(X_2024,X_2023),X_2023)),X_129),implies(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_2023,X_2023),X_2023),implies(implies(X_2024,X_2023),X_2023))) )],[refute_0_134,refute_0_122]) ).

cnf(refute_0_136,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033))),
    inference(subst,[],[refute_0_135:[bind(X_128,$fot(X_2032)),bind(X_129,$fot(X_2033)),bind(X_2023,$fot(X_2034)),bind(X_2024,$fot(X_2035))]]) ).

cnf(refute_0_137,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033)),X_129),implies(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033))) )],[refute_0_136,refute_0_121]) ).

cnf(refute_0_138,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033)),X_2485),implies(X_128,X_2485))),
    inference(subst,[],[refute_0_137:[bind(X_129,$fot(X_2485))]]) ).

cnf(refute_0_139,plain,
    ( ~ is_a_theorem(implies(implies(X_1745,X_1746),X_1747))
    | ~ is_a_theorem(implies(implies(implies(X_1745,X_1746),X_1747),implies(implies(implies(X_1747,X_1748),X_1746),X_1747)))
    | is_a_theorem(implies(implies(implies(X_1747,X_1748),X_1746),X_1747)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_1745,X_1746),X_1747))),bind(Y,$fot(implies(implies(implies(X_1747,X_1748),X_1746),X_1747)))]]) ).

cnf(refute_0_140,plain,
    ( ~ is_a_theorem(X_144)
    | ~ is_a_theorem(implies(X_144,implies(implies(implies(X_140,X_141),X_142),implies(implies(implies(X_142,X_143),X_141),X_142))))
    | is_a_theorem(implies(implies(implies(X_140,X_141),X_142),implies(implies(implies(X_142,X_143),X_141),X_142))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_144)),bind(Y,$fot(implies(implies(implies(X_140,X_141),X_142),implies(implies(implies(X_142,X_143),X_141),X_142))))]]) ).

cnf(refute_0_141,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_129),implies(X_128,X_129))))
    | is_a_theorem(implies(X_6,implies(implies(implies(X_128,X_129),X_2),implies(implies(implies(X_2,X_3),X_129),X_2)))) ),
    inference(subst,[],[refute_0_6:[bind(X_4,$fot(implies(implies(X_2,X_3),X_129))),bind(X_5,$fot(implies(X_128,X_129)))]]) ).

cnf(refute_0_142,plain,
    is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_129),implies(X_128,X_129)))),
    inference(subst,[],[refute_0_23:[bind(X_123,$fot(implies(X_2,X_3))),bind(X_124,$fot(X_128)),bind(X_125,$fot(X_129))]]) ).

cnf(refute_0_143,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(X_128,X_129),X_2),implies(implies(implies(X_2,X_3),X_129),X_2)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(implies(implies(X_2,X_3),X_129),implies(X_128,X_129)))) )],[refute_0_142,refute_0_141]) ).

cnf(refute_0_144,plain,
    is_a_theorem(implies(X_144,implies(implies(implies(X_140,X_141),X_142),implies(implies(implies(X_142,X_143),X_141),X_142)))),
    inference(subst,[],[refute_0_143:[bind(X_128,$fot(X_140)),bind(X_129,$fot(X_141)),bind(X_2,$fot(X_142)),bind(X_3,$fot(X_143)),bind(X_6,$fot(X_144))]]) ).

cnf(refute_0_145,plain,
    ( ~ is_a_theorem(X_144)
    | is_a_theorem(implies(implies(implies(X_140,X_141),X_142),implies(implies(implies(X_142,X_143),X_141),X_142))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_144,implies(implies(implies(X_140,X_141),X_142),implies(implies(implies(X_142,X_143),X_141),X_142)))) )],[refute_0_144,refute_0_140]) ).

cnf(refute_0_146,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272)))
    | is_a_theorem(implies(implies(implies(X_1740,X_1741),X_1742),implies(implies(implies(X_1742,X_1743),X_1741),X_1742))) ),
    inference(subst,[],[refute_0_145:[bind(X_140,$fot(X_1740)),bind(X_141,$fot(X_1741)),bind(X_142,$fot(X_1742)),bind(X_143,$fot(X_1743)),bind(X_144,$fot(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272))))]]) ).

cnf(refute_0_147,plain,
    is_a_theorem(implies(implies(implies(X_1740,X_1741),X_1742),implies(implies(implies(X_1742,X_1743),X_1741),X_1742))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_1274,X_1270),implies(X_1273,X_1270)),implies(X_1270,X_1271)),X_1276),X_1272),implies(implies(implies(X_1275,implies(X_1270,X_1271)),X_1276),X_1272))) )],[refute_0_102,refute_0_146]) ).

cnf(refute_0_148,plain,
    is_a_theorem(implies(implies(implies(X_1745,X_1746),X_1747),implies(implies(implies(X_1747,X_1748),X_1746),X_1747))),
    inference(subst,[],[refute_0_147:[bind(X_1740,$fot(X_1745)),bind(X_1741,$fot(X_1746)),bind(X_1742,$fot(X_1747)),bind(X_1743,$fot(X_1748))]]) ).

cnf(refute_0_149,plain,
    ( ~ is_a_theorem(implies(implies(X_1745,X_1746),X_1747))
    | is_a_theorem(implies(implies(implies(X_1747,X_1748),X_1746),X_1747)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1745,X_1746),X_1747),implies(implies(implies(X_1747,X_1748),X_1746),X_1747))) )],[refute_0_148,refute_0_139]) ).

cnf(refute_0_150,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033)),X_2485),implies(X_128,X_2485)))
    | is_a_theorem(implies(implies(implies(implies(X_128,X_2485),X_2487),X_2485),implies(X_128,X_2485))) ),
    inference(subst,[],[refute_0_149:[bind(X_1745,$fot(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033)))),bind(X_1746,$fot(X_2485)),bind(X_1747,$fot(implies(X_128,X_2485))),bind(X_1748,$fot(X_2487))]]) ).

cnf(refute_0_151,plain,
    is_a_theorem(implies(implies(implies(implies(X_128,X_2485),X_2487),X_2485),implies(X_128,X_2485))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_2034,X_2034),X_2034),implies(implies(X_2035,X_2034),X_2034)),X_2033),implies(X_2032,X_2033)),X_2485),implies(X_128,X_2485))) )],[refute_0_138,refute_0_150]) ).

cnf(refute_0_152,plain,
    is_a_theorem(implies(implies(implies(implies(X_2488,X_2489),X_2490),X_2489),implies(X_2488,X_2489))),
    inference(subst,[],[refute_0_151:[bind(X_128,$fot(X_2488)),bind(X_2485,$fot(X_2489)),bind(X_2487,$fot(X_2490))]]) ).

cnf(refute_0_153,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_2488,X_2489),X_2490),X_2489))
    | is_a_theorem(implies(X_2488,X_2489)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_2488,X_2489),X_2490),X_2489),implies(X_2488,X_2489))) )],[refute_0_152,refute_0_120]) ).

cnf(refute_0_154,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_4008,implies(X_4008,X_4007)),implies(X_4008,X_4007)),X_4007),implies(X_4008,X_4007)))
    | is_a_theorem(implies(implies(X_4008,implies(X_4008,X_4007)),implies(X_4008,X_4007))) ),
    inference(subst,[],[refute_0_153:[bind(X_2488,$fot(implies(X_4008,implies(X_4008,X_4007)))),bind(X_2489,$fot(implies(X_4008,X_4007))),bind(X_2490,$fot(X_4007))]]) ).

cnf(refute_0_155,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_3551,implies(implies(X_3551,X_3552),X_3552))))
    | is_a_theorem(implies(X_6,implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)))) ),
    inference(subst,[],[refute_0_6:[bind(X_4,$fot(X_3551)),bind(X_5,$fot(implies(implies(X_3551,X_3552),X_3552)))]]) ).

cnf(refute_0_156,plain,
    ( ~ is_a_theorem(implies(implies(X_172,implies(X_171,X_172)),X_170))
    | ~ is_a_theorem(implies(implies(implies(X_172,implies(X_171,X_172)),X_170),implies(X_169,X_170)))
    | is_a_theorem(implies(X_169,X_170)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_172,implies(X_171,X_172)),X_170))),bind(Y,$fot(implies(X_169,X_170)))]]) ).

cnf(refute_0_157,plain,
    ( ~ is_a_theorem(implies(X_168,implies(X_167,X_168)))
    | is_a_theorem(implies(implies(implies(X_168,implies(X_167,X_168)),X_129),implies(X_128,X_129))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(X_168,implies(X_167,X_168))))]]) ).

cnf(refute_0_158,plain,
    ( ~ is_a_theorem(X_83)
    | ~ is_a_theorem(implies(X_83,implies(X_84,implies(X_82,X_84))))
    | is_a_theorem(implies(X_84,implies(X_82,X_84))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_83)),bind(Y,$fot(implies(X_84,implies(X_82,X_84))))]]) ).

cnf(refute_0_159,plain,
    is_a_theorem(implies(X_83,implies(X_84,implies(X_82,X_84)))),
    inference(subst,[],[refute_0_107:[bind(X_33,$fot(X_82)),bind(X_35,$fot(X_83)),bind(X_81,$fot(X_84))]]) ).

cnf(refute_0_160,plain,
    ( ~ is_a_theorem(X_83)
    | is_a_theorem(implies(X_84,implies(X_82,X_84))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_83,implies(X_84,implies(X_82,X_84)))) )],[refute_0_159,refute_0_158]) ).

cnf(refute_0_161,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)),X_132),implies(X_131,X_132)))
    | is_a_theorem(implies(X_166,implies(X_164,X_166))) ),
    inference(subst,[],[refute_0_160:[bind(X_82,$fot(X_164)),bind(X_83,$fot(implies(implies(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)),X_132),implies(X_131,X_132)))),bind(X_84,$fot(X_166))]]) ).

cnf(refute_0_162,plain,
    is_a_theorem(implies(X_166,implies(X_164,X_166))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_78,X_79),X_78),implies(X_79,X_78)),X_132),implies(X_131,X_132))) )],[refute_0_46,refute_0_161]) ).

cnf(refute_0_163,plain,
    is_a_theorem(implies(X_168,implies(X_167,X_168))),
    inference(subst,[],[refute_0_162:[bind(X_164,$fot(X_167)),bind(X_166,$fot(X_168))]]) ).

cnf(refute_0_164,plain,
    is_a_theorem(implies(implies(implies(X_168,implies(X_167,X_168)),X_129),implies(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(implies(X_168,implies(X_167,X_168))) )],[refute_0_163,refute_0_157]) ).

cnf(refute_0_165,plain,
    is_a_theorem(implies(implies(implies(X_172,implies(X_171,X_172)),X_170),implies(X_169,X_170))),
    inference(subst,[],[refute_0_164:[bind(X_128,$fot(X_169)),bind(X_129,$fot(X_170)),bind(X_167,$fot(X_171)),bind(X_168,$fot(X_172))]]) ).

cnf(refute_0_166,plain,
    ( ~ is_a_theorem(implies(implies(X_172,implies(X_171,X_172)),X_170))
    | is_a_theorem(implies(X_169,X_170)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_172,implies(X_171,X_172)),X_170),implies(X_169,X_170))) )],[refute_0_165,refute_0_156]) ).

cnf(refute_0_167,plain,
    ( ~ is_a_theorem(implies(implies(X_3549,implies(implies(X_3547,X_3549),X_3549)),implies(X_3547,implies(implies(X_3547,X_3549),X_3549))))
    | is_a_theorem(implies(X_169,implies(X_3547,implies(implies(X_3547,X_3549),X_3549)))) ),
    inference(subst,[],[refute_0_166:[bind(X_170,$fot(implies(X_3547,implies(implies(X_3547,X_3549),X_3549)))),bind(X_171,$fot(implies(X_3547,X_3549))),bind(X_172,$fot(X_3549))]]) ).

cnf(refute_0_168,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_2488,X_2489),X_2490),X_2489),implies(X_2488,X_2489)))
    | is_a_theorem(implies(X_6,implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))))) ),
    inference(subst,[],[refute_0_6:[bind(X_2,$fot(implies(implies(X_2488,X_2489),X_2490))),bind(X_3,$fot(X_2489)),bind(X_4,$fot(X_2488)),bind(X_5,$fot(X_2489))]]) ).

cnf(refute_0_169,plain,
    is_a_theorem(implies(X_6,implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_2488,X_2489),X_2490),X_2489),implies(X_2488,X_2489))) )],[refute_0_152,refute_0_168]) ).

cnf(refute_0_170,plain,
    is_a_theorem(implies(implies(implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))),X_3511),implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))))),
    inference(subst,[],[refute_0_169:[bind(X_6,$fot(implies(implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))),X_3511)))]]) ).

cnf(refute_0_171,plain,
    ( ~ is_a_theorem(implies(implies(X_3504,X_3505),X_3504))
    | ~ is_a_theorem(implies(implies(implies(X_3504,X_3505),X_3504),X_3504))
    | is_a_theorem(X_3504) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_3504,X_3505),X_3504))),bind(Y,$fot(X_3504))]]) ).

cnf(refute_0_172,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)),X_129),implies(X_128,X_129))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722))))]]) ).

cnf(refute_0_173,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_719,implies(X_715,X_716)),X_720),implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720)))
    | is_a_theorem(implies(implies(implies(implies(implies(X_719,implies(X_715,X_716)),X_720),implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720)),X_129),implies(X_128,X_129))) ),
    inference(subst,[],[refute_0_25:[bind(X_127,$fot(implies(implies(implies(X_719,implies(X_715,X_716)),X_720),implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720))))]]) ).

cnf(refute_0_174,plain,
    ( ~ is_a_theorem(X_24)
    | ~ is_a_theorem(implies(X_24,implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23))))
    | is_a_theorem(implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_24)),bind(Y,$fot(implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23))))]]) ).

cnf(refute_0_175,plain,
    is_a_theorem(implies(X_24,implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23)))),
    inference(subst,[],[refute_0_96:[bind(X_12,$fot(X_18)),bind(X_13,$fot(X_19)),bind(X_14,$fot(X_20)),bind(X_15,$fot(X_21)),bind(X_17,$fot(X_22)),bind(X_2,$fot(X_23)),bind(X_6,$fot(X_24))]]) ).

cnf(refute_0_176,plain,
    ( ~ is_a_theorem(X_24)
    | is_a_theorem(implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_24,implies(implies(implies(X_22,implies(X_18,X_19)),X_23),implies(implies(implies(implies(X_21,X_18),implies(X_20,X_18)),implies(X_18,X_19)),X_23)))) )],[refute_0_175,refute_0_174]) ).

cnf(refute_0_177,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129)))
    | is_a_theorem(implies(implies(implies(X_712,implies(X_708,X_709)),X_713),implies(implies(implies(implies(X_711,X_708),implies(X_710,X_708)),implies(X_708,X_709)),X_713))) ),
    inference(subst,[],[refute_0_176:[bind(X_18,$fot(X_708)),bind(X_19,$fot(X_709)),bind(X_20,$fot(X_710)),bind(X_21,$fot(X_711)),bind(X_22,$fot(X_712)),bind(X_23,$fot(X_713)),bind(X_24,$fot(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))))]]) ).

cnf(refute_0_178,plain,
    is_a_theorem(implies(implies(implies(X_712,implies(X_708,X_709)),X_713),implies(implies(implies(implies(X_711,X_708),implies(X_710,X_708)),implies(X_708,X_709)),X_713))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)),X_129),implies(X_128,X_129))) )],[refute_0_56,refute_0_177]) ).

cnf(refute_0_179,plain,
    is_a_theorem(implies(implies(implies(X_719,implies(X_715,X_716)),X_720),implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720))),
    inference(subst,[],[refute_0_178:[bind(X_708,$fot(X_715)),bind(X_709,$fot(X_716)),bind(X_710,$fot(X_717)),bind(X_711,$fot(X_718)),bind(X_712,$fot(X_719)),bind(X_713,$fot(X_720))]]) ).

cnf(refute_0_180,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_719,implies(X_715,X_716)),X_720),implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720)),X_129),implies(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_719,implies(X_715,X_716)),X_720),implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720))) )],[refute_0_179,refute_0_173]) ).

cnf(refute_0_181,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722))),
    inference(subst,[],[refute_0_180:[bind(X_128,$fot(X_721)),bind(X_129,$fot(X_722)),bind(X_715,$fot(X_723)),bind(X_716,$fot(X_724)),bind(X_717,$fot(X_725)),bind(X_718,$fot(X_726)),bind(X_719,$fot(X_727)),bind(X_720,$fot(X_728))]]) ).

cnf(refute_0_182,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)),X_129),implies(X_128,X_129))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722))) )],[refute_0_181,refute_0_172]) ).

cnf(refute_0_183,plain,
    ( ~ is_a_theorem(X_3441)
    | ~ is_a_theorem(implies(X_3441,implies(implies(implies(X_3439,X_3440),X_3439),X_3439)))
    | is_a_theorem(implies(implies(implies(X_3439,X_3440),X_3439),X_3439)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_3441)),bind(Y,$fot(implies(implies(implies(X_3439,X_3440),X_3439),X_3439)))]]) ).

cnf(refute_0_184,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_1741,X_1743),X_1741),X_1741),X_1741),implies(implies(implies(X_1741,X_1743),X_1741),X_1741))),
    inference(subst,[],[refute_0_147:[bind(X_1740,$fot(implies(implies(X_1741,X_1743),X_1741))),bind(X_1742,$fot(X_1741))]]) ).

cnf(refute_0_185,plain,
    ( ~ is_a_theorem(implies(implies(X_3432,X_3433),X_3432))
    | ~ is_a_theorem(implies(implies(implies(X_3432,X_3433),X_3432),implies(X_3431,X_3432)))
    | is_a_theorem(implies(X_3431,X_3432)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_3432,X_3433),X_3432))),bind(Y,$fot(implies(X_3431,X_3432)))]]) ).

cnf(refute_0_186,plain,
    ( ~ is_a_theorem(X_207)
    | ~ is_a_theorem(implies(X_207,implies(implies(implies(X_205,X_206),X_205),implies(X_204,X_205))))
    | is_a_theorem(implies(implies(implies(X_205,X_206),X_205),implies(X_204,X_205))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(X_207)),bind(Y,$fot(implies(implies(implies(X_205,X_206),X_205),implies(X_204,X_205))))]]) ).

cnf(refute_0_187,plain,
    ( ~ is_a_theorem(implies(implies(X_2,X_3),implies(X_167,implies(X_2,X_3))))
    | is_a_theorem(implies(X_6,implies(implies(implies(X_2,X_3),X_2),implies(X_167,X_2)))) ),
    inference(subst,[],[refute_0_6:[bind(X_4,$fot(X_167)),bind(X_5,$fot(implies(X_2,X_3)))]]) ).

cnf(refute_0_188,plain,
    is_a_theorem(implies(implies(X_2,X_3),implies(X_167,implies(X_2,X_3)))),
    inference(subst,[],[refute_0_162:[bind(X_164,$fot(X_167)),bind(X_166,$fot(implies(X_2,X_3)))]]) ).

cnf(refute_0_189,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(X_2,X_3),X_2),implies(X_167,X_2)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_167,implies(X_2,X_3)))) )],[refute_0_188,refute_0_187]) ).

cnf(refute_0_190,plain,
    is_a_theorem(implies(X_207,implies(implies(implies(X_205,X_206),X_205),implies(X_204,X_205)))),
    inference(subst,[],[refute_0_189:[bind(X_167,$fot(X_204)),bind(X_2,$fot(X_205)),bind(X_3,$fot(X_206)),bind(X_6,$fot(X_207))]]) ).

cnf(refute_0_191,plain,
    ( ~ is_a_theorem(X_207)
    | is_a_theorem(implies(implies(implies(X_205,X_206),X_205),implies(X_204,X_205))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_207,implies(implies(implies(X_205,X_206),X_205),implies(X_204,X_205)))) )],[refute_0_190,refute_0_186]) ).

cnf(refute_0_192,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)),X_129),implies(X_128,X_129)))
    | is_a_theorem(implies(implies(implies(X_3428,X_3429),X_3428),implies(X_3427,X_3428))) ),
    inference(subst,[],[refute_0_191:[bind(X_204,$fot(X_3427)),bind(X_205,$fot(X_3428)),bind(X_206,$fot(X_3429)),bind(X_207,$fot(implies(implies(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)),X_129),implies(X_128,X_129))))]]) ).

cnf(refute_0_193,plain,
    is_a_theorem(implies(implies(implies(X_3428,X_3429),X_3428),implies(X_3427,X_3428))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)),X_129),implies(X_128,X_129))) )],[refute_0_182,refute_0_192]) ).

cnf(refute_0_194,plain,
    is_a_theorem(implies(implies(implies(X_3432,X_3433),X_3432),implies(X_3431,X_3432))),
    inference(subst,[],[refute_0_193:[bind(X_3427,$fot(X_3431)),bind(X_3428,$fot(X_3432)),bind(X_3429,$fot(X_3433))]]) ).

cnf(refute_0_195,plain,
    ( ~ is_a_theorem(implies(implies(X_3432,X_3433),X_3432))
    | is_a_theorem(implies(X_3431,X_3432)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3432,X_3433),X_3432),implies(X_3431,X_3432))) )],[refute_0_194,refute_0_185]) ).

cnf(refute_0_196,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_1741,X_1743),X_1741),X_1741),X_1741),implies(implies(implies(X_1741,X_1743),X_1741),X_1741)))
    | is_a_theorem(implies(X_3434,implies(implies(implies(X_1741,X_1743),X_1741),X_1741))) ),
    inference(subst,[],[refute_0_195:[bind(X_3431,$fot(X_3434)),bind(X_3432,$fot(implies(implies(implies(X_1741,X_1743),X_1741),X_1741))),bind(X_3433,$fot(X_1741))]]) ).

cnf(refute_0_197,plain,
    is_a_theorem(implies(X_3434,implies(implies(implies(X_1741,X_1743),X_1741),X_1741))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_1741,X_1743),X_1741),X_1741),X_1741),implies(implies(implies(X_1741,X_1743),X_1741),X_1741))) )],[refute_0_184,refute_0_196]) ).

cnf(refute_0_198,plain,
    is_a_theorem(implies(X_3441,implies(implies(implies(X_3439,X_3440),X_3439),X_3439))),
    inference(subst,[],[refute_0_197:[bind(X_1741,$fot(X_3439)),bind(X_1743,$fot(X_3440)),bind(X_3434,$fot(X_3441))]]) ).

cnf(refute_0_199,plain,
    ( ~ is_a_theorem(X_3441)
    | is_a_theorem(implies(implies(implies(X_3439,X_3440),X_3439),X_3439)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(X_3441,implies(implies(implies(X_3439,X_3440),X_3439),X_3439))) )],[refute_0_198,refute_0_183]) ).

cnf(refute_0_200,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)),X_129),implies(X_128,X_129)))
    | is_a_theorem(implies(implies(implies(X_3501,X_3502),X_3501),X_3501)) ),
    inference(subst,[],[refute_0_199:[bind(X_3439,$fot(X_3501)),bind(X_3440,$fot(X_3502)),bind(X_3441,$fot(implies(implies(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)),X_129),implies(X_128,X_129))))]]) ).

cnf(refute_0_201,plain,
    is_a_theorem(implies(implies(implies(X_3501,X_3502),X_3501),X_3501)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X_727,implies(X_723,X_724)),X_728),implies(implies(implies(implies(X_726,X_723),implies(X_725,X_723)),implies(X_723,X_724)),X_728)),X_722),implies(X_721,X_722)),X_129),implies(X_128,X_129))) )],[refute_0_182,refute_0_200]) ).

cnf(refute_0_202,plain,
    is_a_theorem(implies(implies(implies(X_3504,X_3505),X_3504),X_3504)),
    inference(subst,[],[refute_0_201:[bind(X_3501,$fot(X_3504)),bind(X_3502,$fot(X_3505))]]) ).

cnf(refute_0_203,plain,
    ( ~ is_a_theorem(implies(implies(X_3504,X_3505),X_3504))
    | is_a_theorem(X_3504) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3504,X_3505),X_3504),X_3504)) )],[refute_0_202,refute_0_171]) ).

cnf(refute_0_204,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))),X_3511),implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490)))))
    | is_a_theorem(implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490)))) ),
    inference(subst,[],[refute_0_203:[bind(X_3504,$fot(implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))))),bind(X_3505,$fot(X_3511))]]) ).

cnf(refute_0_205,plain,
    is_a_theorem(implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))),X_3511),implies(implies(X_2489,implies(implies(X_2488,X_2489),X_2490)),implies(X_2488,implies(implies(X_2488,X_2489),X_2490))))) )],[refute_0_170,refute_0_204]) ).

cnf(refute_0_206,plain,
    is_a_theorem(implies(implies(X_3549,implies(implies(X_3547,X_3549),X_3549)),implies(X_3547,implies(implies(X_3547,X_3549),X_3549)))),
    inference(subst,[],[refute_0_205:[bind(X_2488,$fot(X_3547)),bind(X_2489,$fot(X_3549)),bind(X_2490,$fot(X_3549))]]) ).

cnf(refute_0_207,plain,
    is_a_theorem(implies(X_169,implies(X_3547,implies(implies(X_3547,X_3549),X_3549)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_3549,implies(implies(X_3547,X_3549),X_3549)),implies(X_3547,implies(implies(X_3547,X_3549),X_3549)))) )],[refute_0_206,refute_0_167]) ).

cnf(refute_0_208,plain,
    is_a_theorem(implies(implies(X_2,X_3),implies(X_3551,implies(implies(X_3551,X_3552),X_3552)))),
    inference(subst,[],[refute_0_207:[bind(X_169,$fot(implies(X_2,X_3))),bind(X_3547,$fot(X_3551)),bind(X_3549,$fot(X_3552))]]) ).

cnf(refute_0_209,plain,
    is_a_theorem(implies(X_6,implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2,X_3),implies(X_3551,implies(implies(X_3551,X_3552),X_3552)))) )],[refute_0_208,refute_0_155]) ).

cnf(refute_0_210,plain,
    is_a_theorem(implies(implies(X_3994,implies(implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)),X_3993)),implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)))),
    inference(subst,[],[refute_0_209:[bind(X_6,$fot(implies(X_3994,implies(implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)),X_3993))))]]) ).

cnf(refute_0_211,plain,
    ( ~ is_a_theorem(implies(implies(X_3904,implies(X_3902,X_3903)),X_3902))
    | ~ is_a_theorem(implies(implies(implies(X_3904,implies(X_3902,X_3903)),X_3902),X_3902))
    | is_a_theorem(X_3902) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_3904,implies(X_3902,X_3903)),X_3902))),bind(Y,$fot(X_3902))]]) ).

cnf(refute_0_212,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898),X_3898),implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898)))
    | is_a_theorem(implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898)) ),
    inference(subst,[],[refute_0_203:[bind(X_3504,$fot(implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898))),bind(X_3505,$fot(X_3898))]]) ).

cnf(refute_0_213,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892)),implies(X_3892,X_3894)),implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892))))
    | is_a_theorem(implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892))) ),
    inference(subst,[],[refute_0_203:[bind(X_3504,$fot(implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892)))),bind(X_3505,$fot(implies(X_3892,X_3894)))]]) ).

cnf(refute_0_214,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285))
    | ~ is_a_theorem(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285)))
    | is_a_theorem(implies(X_286,X_285)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285))),bind(Y,$fot(implies(X_286,X_285)))]]) ).

cnf(refute_0_215,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285))
    | is_a_theorem(implies(X_286,X_285)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_286,X_288),implies(X_287,X_288)),X_285),implies(X_286,X_285))) )],[refute_0_55,refute_0_214]) ).

cnf(refute_0_216,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_286,X_2552),implies(implies(X_286,X_2552),X_2552)),implies(X_2551,implies(implies(X_286,X_2552),X_2552))))
    | is_a_theorem(implies(X_286,implies(X_2551,implies(implies(X_286,X_2552),X_2552)))) ),
    inference(subst,[],[refute_0_215:[bind(X_285,$fot(implies(X_2551,implies(implies(X_286,X_2552),X_2552)))),bind(X_287,$fot(implies(X_286,X_2552))),bind(X_288,$fot(X_2552))]]) ).

cnf(refute_0_217,plain,
    is_a_theorem(implies(implies(implies(implies(X_281,implies(X_281,X_2550)),implies(X_2548,implies(X_281,X_2550))),X_2550),implies(X_281,X_2550))),
    inference(subst,[],[refute_0_54:[bind(X_280,$fot(X_2550)),bind(X_282,$fot(X_2548)),bind(X_283,$fot(implies(X_281,X_2550)))]]) ).

cnf(refute_0_218,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_2520,implies(X_2521,X_2522)),X_2523),X_2522))
    | ~ is_a_theorem(implies(implies(implies(implies(X_2520,implies(X_2521,X_2522)),X_2523),X_2522),implies(X_2520,implies(X_2521,X_2522))))
    | is_a_theorem(implies(X_2520,implies(X_2521,X_2522))) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_2520,implies(X_2521,X_2522)),X_2523),X_2522))),bind(Y,$fot(implies(X_2520,implies(X_2521,X_2522))))]]) ).

cnf(refute_0_219,plain,
    is_a_theorem(implies(implies(X_2484,X_2485),implies(X_164,implies(X_2484,X_2485)))),
    inference(subst,[],[refute_0_162:[bind(X_166,$fot(implies(X_2484,X_2485)))]]) ).

cnf(refute_0_220,plain,
    ( ~ is_a_theorem(implies(implies(X_2484,X_2485),implies(X_164,implies(X_2484,X_2485))))
    | is_a_theorem(implies(implies(implies(implies(X_164,implies(X_2484,X_2485)),X_2487),X_2485),implies(X_164,implies(X_2484,X_2485)))) ),
    inference(subst,[],[refute_0_149:[bind(X_1745,$fot(X_2484)),bind(X_1746,$fot(X_2485)),bind(X_1747,$fot(implies(X_164,implies(X_2484,X_2485)))),bind(X_1748,$fot(X_2487))]]) ).

cnf(refute_0_221,plain,
    is_a_theorem(implies(implies(implies(implies(X_164,implies(X_2484,X_2485)),X_2487),X_2485),implies(X_164,implies(X_2484,X_2485)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_2484,X_2485),implies(X_164,implies(X_2484,X_2485)))) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    is_a_theorem(implies(implies(implies(implies(X_2520,implies(X_2521,X_2522)),X_2523),X_2522),implies(X_2520,implies(X_2521,X_2522)))),
    inference(subst,[],[refute_0_221:[bind(X_164,$fot(X_2520)),bind(X_2484,$fot(X_2521)),bind(X_2485,$fot(X_2522)),bind(X_2487,$fot(X_2523))]]) ).

cnf(refute_0_223,plain,
    ( ~ is_a_theorem(implies(implies(implies(X_2520,implies(X_2521,X_2522)),X_2523),X_2522))
    | is_a_theorem(implies(X_2520,implies(X_2521,X_2522))) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_2520,implies(X_2521,X_2522)),X_2523),X_2522),implies(X_2520,implies(X_2521,X_2522)))) )],[refute_0_222,refute_0_218]) ).

cnf(refute_0_224,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X_281,implies(X_281,X_2550)),implies(X_2548,implies(X_281,X_2550))),X_2550),implies(X_281,X_2550)))
    | is_a_theorem(implies(implies(X_281,implies(X_281,X_2550)),implies(X_2548,implies(X_281,X_2550)))) ),
    inference(subst,[],[refute_0_223:[bind(X_2520,$fot(implies(X_281,implies(X_281,X_2550)))),bind(X_2521,$fot(X_2548)),bind(X_2522,$fot(implies(X_281,X_2550))),bind(X_2523,$fot(X_2550))]]) ).

cnf(refute_0_225,plain,
    is_a_theorem(implies(implies(X_281,implies(X_281,X_2550)),implies(X_2548,implies(X_281,X_2550)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_281,implies(X_281,X_2550)),implies(X_2548,implies(X_281,X_2550))),X_2550),implies(X_281,X_2550))) )],[refute_0_217,refute_0_224]) ).

cnf(refute_0_226,plain,
    is_a_theorem(implies(implies(implies(X_286,X_2552),implies(implies(X_286,X_2552),X_2552)),implies(X_2551,implies(implies(X_286,X_2552),X_2552)))),
    inference(subst,[],[refute_0_225:[bind(X_2548,$fot(X_2551)),bind(X_2550,$fot(X_2552)),bind(X_281,$fot(implies(X_286,X_2552)))]]) ).

cnf(refute_0_227,plain,
    is_a_theorem(implies(X_286,implies(X_2551,implies(implies(X_286,X_2552),X_2552)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_286,X_2552),implies(implies(X_286,X_2552),X_2552)),implies(X_2551,implies(implies(X_286,X_2552),X_2552)))) )],[refute_0_226,refute_0_216]) ).

cnf(refute_0_228,plain,
    is_a_theorem(implies(implies(X_3846,implies(X_3842,X_3843)),implies(X_2551,implies(implies(implies(X_3846,implies(X_3842,X_3843)),X_2552),X_2552)))),
    inference(subst,[],[refute_0_227:[bind(X_286,$fot(implies(X_3846,implies(X_3842,X_3843))))]]) ).

cnf(refute_0_229,plain,
    ( ~ is_a_theorem(implies(implies(X_719,implies(X_715,X_716)),X_720))
    | ~ is_a_theorem(implies(implies(implies(X_719,implies(X_715,X_716)),X_720),implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720)))
    | is_a_theorem(implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720)) ),
    inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(X_719,implies(X_715,X_716)),X_720))),bind(Y,$fot(implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720)))]]) ).

cnf(refute_0_230,plain,
    ( ~ is_a_theorem(implies(implies(X_719,implies(X_715,X_716)),X_720))
    | is_a_theorem(implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_719,implies(X_715,X_716)),X_720),implies(implies(implies(implies(X_718,X_715),implies(X_717,X_715)),implies(X_715,X_716)),X_720))) )],[refute_0_179,refute_0_229]) ).

cnf(refute_0_231,plain,
    ( ~ is_a_theorem(implies(implies(X_3846,implies(X_3842,X_3843)),implies(X_2551,implies(implies(implies(X_3846,implies(X_3842,X_3843)),X_2552),X_2552))))
    | is_a_theorem(implies(implies(implies(implies(X_3845,X_3842),implies(X_3844,X_3842)),implies(X_3842,X_3843)),implies(X_2551,implies(implies(implies(X_3846,implies(X_3842,X_3843)),X_2552),X_2552)))) ),
    inference(subst,[],[refute_0_230:[bind(X_715,$fot(X_3842)),bind(X_716,$fot(X_3843)),bind(X_717,$fot(X_3844)),bind(X_718,$fot(X_3845)),bind(X_719,$fot(X_3846)),bind(X_720,$fot(implies(X_2551,implies(implies(implies(X_3846,implies(X_3842,X_3843)),X_2552),X_2552))))]]) ).

cnf(refute_0_232,plain,
    is_a_theorem(implies(implies(implies(implies(X_3845,X_3842),implies(X_3844,X_3842)),implies(X_3842,X_3843)),implies(X_2551,implies(implies(implies(X_3846,implies(X_3842,X_3843)),X_2552),X_2552)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_3846,implies(X_3842,X_3843)),implies(X_2551,implies(implies(implies(X_3846,implies(X_3842,X_3843)),X_2552),X_2552)))) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    is_a_theorem(implies(implies(implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892)),implies(X_3892,X_3894)),implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892)))),
    inference(subst,[],[refute_0_232:[bind(X_2551,$fot(implies(X_3896,X_3892))),bind(X_2552,$fot(X_3892)),bind(X_3842,$fot(X_3892)),bind(X_3843,$fot(X_3894)),bind(X_3844,$fot(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892))),bind(X_3845,$fot(X_3896)),bind(X_3846,$fot(X_3897))]]) ).

cnf(refute_0_234,plain,
    is_a_theorem(implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892)),implies(X_3892,X_3894)),implies(implies(X_3896,X_3892),implies(implies(implies(X_3897,implies(X_3892,X_3894)),X_3892),X_3892)))) )],[refute_0_233,refute_0_213]) ).

cnf(refute_0_235,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898),X_3898),implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898))),
    inference(subst,[],[refute_0_234:[bind(X_3892,$fot(X_3898)),bind(X_3894,$fot(X_3899)),bind(X_3896,$fot(implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898))),bind(X_3897,$fot(X_3901))]]) ).

cnf(refute_0_236,plain,
    is_a_theorem(implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898)),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898),X_3898),implies(implies(implies(X_3901,implies(X_3898,X_3899)),X_3898),X_3898))) )],[refute_0_235,refute_0_212]) ).

cnf(refute_0_237,plain,
    is_a_theorem(implies(implies(implies(X_3904,implies(X_3902,X_3903)),X_3902),X_3902)),
    inference(subst,[],[refute_0_236:[bind(X_3898,$fot(X_3902)),bind(X_3899,$fot(X_3903)),bind(X_3901,$fot(X_3904))]]) ).

cnf(refute_0_238,plain,
    ( ~ is_a_theorem(implies(implies(X_3904,implies(X_3902,X_3903)),X_3902))
    | is_a_theorem(X_3902) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_3904,implies(X_3902,X_3903)),X_3902),X_3902)) )],[refute_0_237,refute_0_211]) ).

cnf(refute_0_239,plain,
    ( ~ is_a_theorem(implies(implies(X_3994,implies(implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)),X_3993)),implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2))))
    | is_a_theorem(implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2))) ),
    inference(subst,[],[refute_0_238:[bind(X_3902,$fot(implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)))),bind(X_3903,$fot(X_3993)),bind(X_3904,$fot(X_3994))]]) ).

cnf(refute_0_240,plain,
    is_a_theorem(implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_3994,implies(implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)),X_3993)),implies(implies(implies(implies(X_3551,X_3552),X_3552),X_2),implies(X_3551,X_2)))) )],[refute_0_210,refute_0_239]) ).

cnf(refute_0_241,plain,
    is_a_theorem(implies(implies(implies(implies(X_4008,implies(X_4008,X_4007)),implies(X_4008,X_4007)),X_4007),implies(X_4008,X_4007))),
    inference(subst,[],[refute_0_240:[bind(X_2,$fot(X_4007)),bind(X_3551,$fot(X_4008)),bind(X_3552,$fot(implies(X_4008,X_4007)))]]) ).

cnf(refute_0_242,plain,
    is_a_theorem(implies(implies(X_4008,implies(X_4008,X_4007)),implies(X_4008,X_4007))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_4008,implies(X_4008,X_4007)),implies(X_4008,X_4007)),X_4007),implies(X_4008,X_4007))) )],[refute_0_241,refute_0_154]) ).

cnf(refute_0_243,plain,
    is_a_theorem(implies(implies(X_4011,implies(X_4011,X_4010)),implies(X_4011,X_4010))),
    inference(subst,[],[refute_0_242:[bind(X_4007,$fot(X_4010)),bind(X_4008,$fot(X_4011))]]) ).

cnf(refute_0_244,plain,
    ( ~ is_a_theorem(implies(X_4011,implies(X_4011,X_4010)))
    | is_a_theorem(implies(X_4011,X_4010)) ),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(X_4011,implies(X_4011,X_4010)),implies(X_4011,X_4010))) )],[refute_0_243,refute_0_119]) ).

cnf(refute_0_245,plain,
    ( ~ is_a_theorem(implies(implies(R,S),implies(implies(R,S),implies(implies(S,P),implies(R,P)))))
    | is_a_theorem(implies(implies(R,S),implies(implies(S,P),implies(R,P)))) ),
    inference(subst,[],[refute_0_244:[bind(X_4010,$fot(implies(implies(S,P),implies(R,P)))),bind(X_4011,$fot(implies(R,S)))]]) ).

cnf(refute_0_246,plain,
    is_a_theorem(implies(implies(R,S),implies(implies(S,P),implies(R,P)))),
    inference(resolve,[$cnf( is_a_theorem(implies(implies(R,S),implies(implies(R,S),implies(implies(S,P),implies(R,P))))) )],[refute_0_118,refute_0_245]) ).

cnf(refute_0_247,plain,
    is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    inference(subst,[],[refute_0_246:[bind(P,$fot(c)),bind(R,$fot(a)),bind(S,$fot(b))]]) ).

cnf(refute_0_248,plain,
    $false,
    inference(resolve,[$cnf( is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) )],[refute_0_247,prove_ic_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL089-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 19:26:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.65/6.82  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.65/6.82  
% 6.65/6.82  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.65/6.85  
%------------------------------------------------------------------------------