%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN143-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 : Thu Jul 21 08:59:58 EDT 2022

% Result   : Unsatisfiable 1.77s 1.94s
% Output   : CNFRefutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :  136
% Syntax   : Number of clauses     :  426 ( 226 unt;   0 nHn; 233 RR)
%            Number of literals    :  727 ( 726 equ; 302 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;   6 con; 0-4 aty)
%            Number of variables   :  549 (  69 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
    ifeq(A,A,B,C) = B ).

cnf(axiom_5,axiom,
    s0(b) = true ).

cnf(axiom_14,axiom,
    p0(b,X) = true ).

cnf(axiom_17,axiom,
    q0(X,d) = true ).

cnf(axiom_19,axiom,
    m0(X,d,Y) = true ).

cnf(axiom_20,axiom,
    l0(a) = true ).

cnf(axiom_30,axiom,
    n0(e,e) = true ).

cnf(axiom_32,axiom,
    k0(b) = true ).

cnf(axiom_34,axiom,
    n0(c,d) = true ).

cnf(axiom_37,axiom,
    n0(b,a) = true ).

cnf(rule_002,axiom,
    ifeq(n0(H,G),true,l1(G,G),true) = true ).

cnf(rule_050,axiom,
    ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) = true ).

cnf(rule_054,axiom,
    ifeq(n1(E,F,E),true,ifeq(l0(G),true,ifeq(l1(G,E),true,n1(E,F,F),true),true),true) = true ).

cnf(rule_085,axiom,
    ifeq(p0(C,B),true,p1(B,B,B),true) = true ).

cnf(rule_125,axiom,
    ifeq(p0(I,I),true,s1(I),true) = true ).

cnf(rule_126,axiom,
    ifeq(s1(H),true,ifeq(q0(F,G),true,s1(F),true),true) = true ).

cnf(rule_131,axiom,
    ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) = true ).

cnf(rule_133,axiom,
    ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = true ).

cnf(rule_137,axiom,
    ifeq(p1(B,C,A),true,n2(A),true) = true ).

cnf(rule_177,axiom,
    ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = true ).

cnf(rule_182,axiom,
    ifeq(q2(G,H,F),true,ifeq(p1(F,F,H),true,ifeq(n1(G,F,H),true,q2(F,G,F),true),true),true) = true ).

cnf(rule_189,axiom,
    ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) = true ).

cnf(rule_244,axiom,
    ifeq(n2(H),true,p3(H,H,H),true) = true ).

cnf(rule_273,axiom,
    ifeq(s2(I),true,ifeq(q2(A,I,A),true,ifeq(m0(A,B,J),true,s3(I,J),true),true),true) = true ).

cnf(rule_279,axiom,
    ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = true ).

cnf(rule_299,axiom,
    ifeq(p3(B,C,D),true,ifeq(l1(A,C),true,s4(A),true),true) = true ).

cnf(rule_305,axiom,
    ifeq(s4(B),true,ifeq(m4(e,e),true,m5(B,B),true),true) = true ).

cnf(prove_this,negated_conjecture,
    m5(d,d) != true ).

cnf(refute_0_0,plain,
    ifeq(s4(d),true,ifeq(m4(e,e),true,m5(d,d),true),true) = true,
    inference(subst,[],[rule_305:[bind(B,$fot(d))]]) ).

cnf(refute_0_1,plain,
    ifeq(p3(X_536,X_536,X_536),true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) = true,
    inference(subst,[],[rule_299:[bind(A,$fot(X_533)),bind(B,$fot(X_536)),bind(C,$fot(X_536)),bind(D,$fot(X_536))]]) ).

cnf(refute_0_2,plain,
    ifeq(true,true,p3(H,H,H),true) = p3(H,H,H),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(p3(H,H,H))),bind(C,$fot(true))]]) ).

cnf(refute_0_3,plain,
    ifeq(p1(X_203,X_203,X_203),true,n2(X_203),true) = true,
    inference(subst,[],[rule_137:[bind(A,$fot(X_203)),bind(B,$fot(X_203)),bind(C,$fot(X_203))]]) ).

cnf(refute_0_4,plain,
    ifeq(p0(b,X_80),true,p1(X_80,X_80,X_80),true) = true,
    inference(subst,[],[rule_085:[bind(B,$fot(X_80)),bind(C,$fot(b))]]) ).

cnf(refute_0_5,plain,
    p0(b,X_80) = true,
    inference(subst,[],[axiom_14:[bind(X,$fot(X_80))]]) ).

cnf(refute_0_6,plain,
    ( ifeq(p0(b,X_80),true,p1(X_80,X_80,X_80),true) != true
    | p0(b,X_80) != true
    | ifeq(true,true,p1(X_80,X_80,X_80),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(b,X_80),true,p1(X_80,X_80,X_80),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_7,plain,
    ( ifeq(p0(b,X_80),true,p1(X_80,X_80,X_80),true) != true
    | ifeq(true,true,p1(X_80,X_80,X_80),true) = true ),
    inference(resolve,[$cnf( $equal(p0(b,X_80),true) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ifeq(true,true,p1(X_80,X_80,X_80),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(p0(b,X_80),true,p1(X_80,X_80,X_80),true),true) )],[refute_0_4,refute_0_7]) ).

cnf(refute_0_9,plain,
    ifeq(true,true,p1(X_80,X_80,X_80),true) = p1(X_80,X_80,X_80),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(p1(X_80,X_80,X_80))),bind(C,$fot(true))]]) ).

cnf(refute_0_10,plain,
    ( ifeq(true,true,p1(X_80,X_80,X_80),true) != p1(X_80,X_80,X_80)
    | ifeq(true,true,p1(X_80,X_80,X_80),true) != true
    | p1(X_80,X_80,X_80) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,p1(X_80,X_80,X_80),true),true) ),[0],$fot(p1(X_80,X_80,X_80))]]) ).

cnf(refute_0_11,plain,
    ( ifeq(true,true,p1(X_80,X_80,X_80),true) != true
    | p1(X_80,X_80,X_80) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,p1(X_80,X_80,X_80),true),p1(X_80,X_80,X_80)) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    p1(X_80,X_80,X_80) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,p1(X_80,X_80,X_80),true),true) )],[refute_0_8,refute_0_11]) ).

cnf(refute_0_13,plain,
    p1(X_203,X_203,X_203) = true,
    inference(subst,[],[refute_0_12:[bind(X_80,$fot(X_203))]]) ).

cnf(refute_0_14,plain,
    ( ifeq(p1(X_203,X_203,X_203),true,n2(X_203),true) != true
    | p1(X_203,X_203,X_203) != true
    | ifeq(true,true,n2(X_203),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p1(X_203,X_203,X_203),true,n2(X_203),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_15,plain,
    ( ifeq(p1(X_203,X_203,X_203),true,n2(X_203),true) != true
    | ifeq(true,true,n2(X_203),true) = true ),
    inference(resolve,[$cnf( $equal(p1(X_203,X_203,X_203),true) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    ifeq(true,true,n2(X_203),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(p1(X_203,X_203,X_203),true,n2(X_203),true),true) )],[refute_0_3,refute_0_15]) ).

cnf(refute_0_17,plain,
    ifeq(true,true,n2(X_203),true) = n2(X_203),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(n2(X_203))),bind(C,$fot(true))]]) ).

cnf(refute_0_18,plain,
    ( ifeq(true,true,n2(X_203),true) != n2(X_203)
    | ifeq(true,true,n2(X_203),true) != true
    | n2(X_203) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,n2(X_203),true),true) ),[0],$fot(n2(X_203))]]) ).

cnf(refute_0_19,plain,
    ( ifeq(true,true,n2(X_203),true) != true
    | n2(X_203) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,n2(X_203),true),n2(X_203)) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    n2(X_203) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,n2(X_203),true),true) )],[refute_0_16,refute_0_19]) ).

cnf(refute_0_21,plain,
    n2(H) = true,
    inference(subst,[],[refute_0_20:[bind(X_203,$fot(H))]]) ).

cnf(refute_0_22,plain,
    ifeq(n2(H),true,p3(H,H,H),true) = ifeq(n2(H),true,p3(H,H,H),true),
    introduced(tautology,[refl,[$fot(ifeq(n2(H),true,p3(H,H,H),true))]]) ).

cnf(refute_0_23,plain,
    ( ifeq(n2(H),true,p3(H,H,H),true) != ifeq(n2(H),true,p3(H,H,H),true)
    | n2(H) != true
    | ifeq(n2(H),true,p3(H,H,H),true) = ifeq(true,true,p3(H,H,H),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(n2(H),true,p3(H,H,H),true),ifeq(n2(H),true,p3(H,H,H),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_24,plain,
    ( n2(H) != true
    | ifeq(n2(H),true,p3(H,H,H),true) = ifeq(true,true,p3(H,H,H),true) ),
    inference(resolve,[$cnf( $equal(ifeq(n2(H),true,p3(H,H,H),true),ifeq(n2(H),true,p3(H,H,H),true)) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    ifeq(n2(H),true,p3(H,H,H),true) = ifeq(true,true,p3(H,H,H),true),
    inference(resolve,[$cnf( $equal(n2(H),true) )],[refute_0_21,refute_0_24]) ).

cnf(refute_0_26,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_27,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_28,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( Y0 != X0
    | Y0 != Z
    | X0 = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z) ),[0],$fot(X0)]]) ).

cnf(refute_0_30,plain,
    ( X0 != Y0
    | Y0 != Z
    | X0 = Z ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ifeq(n2(H),true,p3(H,H,H),true) != ifeq(true,true,p3(H,H,H),true)
    | ifeq(true,true,p3(H,H,H),true) != p3(H,H,H)
    | ifeq(n2(H),true,p3(H,H,H),true) = p3(H,H,H) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(n2(H),true,p3(H,H,H),true))),bind(Y0,$fot(ifeq(true,true,p3(H,H,H),true))),bind(Z,$fot(p3(H,H,H)))]]) ).

cnf(refute_0_32,plain,
    ( ifeq(true,true,p3(H,H,H),true) != p3(H,H,H)
    | ifeq(n2(H),true,p3(H,H,H),true) = p3(H,H,H) ),
    inference(resolve,[$cnf( $equal(ifeq(n2(H),true,p3(H,H,H),true),ifeq(true,true,p3(H,H,H),true)) )],[refute_0_25,refute_0_31]) ).

cnf(refute_0_33,plain,
    ifeq(n2(H),true,p3(H,H,H),true) = p3(H,H,H),
    inference(resolve,[$cnf( $equal(ifeq(true,true,p3(H,H,H),true),p3(H,H,H)) )],[refute_0_2,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( ifeq(n2(H),true,p3(H,H,H),true) != p3(H,H,H)
    | ifeq(n2(H),true,p3(H,H,H),true) != true
    | p3(H,H,H) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(n2(H),true,p3(H,H,H),true),true) ),[0],$fot(p3(H,H,H))]]) ).

cnf(refute_0_35,plain,
    ( ifeq(n2(H),true,p3(H,H,H),true) != true
    | p3(H,H,H) = true ),
    inference(resolve,[$cnf( $equal(ifeq(n2(H),true,p3(H,H,H),true),p3(H,H,H)) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    p3(H,H,H) = true,
    inference(resolve,[$cnf( $equal(ifeq(n2(H),true,p3(H,H,H),true),true) )],[rule_244,refute_0_35]) ).

cnf(refute_0_37,plain,
    p3(X_536,X_536,X_536) = true,
    inference(subst,[],[refute_0_36:[bind(H,$fot(X_536))]]) ).

cnf(refute_0_38,plain,
    ( ifeq(p3(X_536,X_536,X_536),true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) != true
    | p3(X_536,X_536,X_536) != true
    | ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p3(X_536,X_536,X_536),true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_39,plain,
    ( ifeq(p3(X_536,X_536,X_536),true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) != true
    | ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) = true ),
    inference(resolve,[$cnf( $equal(p3(X_536,X_536,X_536),true) )],[refute_0_37,refute_0_38]) ).

cnf(refute_0_40,plain,
    ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(p3(X_536,X_536,X_536),true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true),true) )],[refute_0_1,refute_0_39]) ).

cnf(refute_0_41,plain,
    ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) = ifeq(l1(X_533,X_536),true,s4(X_533),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(l1(X_533,X_536),true,s4(X_533),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_42,plain,
    ( ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) != ifeq(l1(X_533,X_536),true,s4(X_533),true)
    | ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) != true
    | ifeq(l1(X_533,X_536),true,s4(X_533),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true),true) ),[0],$fot(ifeq(l1(X_533,X_536),true,s4(X_533),true))]]) ).

cnf(refute_0_43,plain,
    ( ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true) != true
    | ifeq(l1(X_533,X_536),true,s4(X_533),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true),ifeq(l1(X_533,X_536),true,s4(X_533),true)) )],[refute_0_41,refute_0_42]) ).

cnf(refute_0_44,plain,
    ifeq(l1(X_533,X_536),true,s4(X_533),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(l1(X_533,X_536),true,s4(X_533),true),true),true) )],[refute_0_40,refute_0_43]) ).

cnf(refute_0_45,plain,
    ifeq(l1(d,d),true,s4(d),true) = true,
    inference(subst,[],[refute_0_44:[bind(X_533,$fot(d)),bind(X_536,$fot(d))]]) ).

cnf(refute_0_46,plain,
    ifeq(n0(c,d),true,l1(d,d),true) = true,
    inference(subst,[],[rule_002:[bind(G,$fot(d)),bind(H,$fot(c))]]) ).

cnf(refute_0_47,plain,
    ( ifeq(n0(c,d),true,l1(d,d),true) != true
    | n0(c,d) != true
    | ifeq(true,true,l1(d,d),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(n0(c,d),true,l1(d,d),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_48,plain,
    ( ifeq(n0(c,d),true,l1(d,d),true) != true
    | ifeq(true,true,l1(d,d),true) = true ),
    inference(resolve,[$cnf( $equal(n0(c,d),true) )],[axiom_34,refute_0_47]) ).

cnf(refute_0_49,plain,
    ifeq(true,true,l1(d,d),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(n0(c,d),true,l1(d,d),true),true) )],[refute_0_46,refute_0_48]) ).

cnf(refute_0_50,plain,
    ifeq(true,true,l1(d,d),true) = l1(d,d),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(l1(d,d))),bind(C,$fot(true))]]) ).

cnf(refute_0_51,plain,
    ( ifeq(true,true,l1(d,d),true) != l1(d,d)
    | ifeq(true,true,l1(d,d),true) != true
    | l1(d,d) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,l1(d,d),true),true) ),[0],$fot(l1(d,d))]]) ).

cnf(refute_0_52,plain,
    ( ifeq(true,true,l1(d,d),true) != true
    | l1(d,d) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,l1(d,d),true),l1(d,d)) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    l1(d,d) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,l1(d,d),true),true) )],[refute_0_49,refute_0_52]) ).

cnf(refute_0_54,plain,
    ( ifeq(l1(d,d),true,s4(d),true) != true
    | l1(d,d) != true
    | ifeq(true,true,s4(d),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l1(d,d),true,s4(d),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_55,plain,
    ( ifeq(l1(d,d),true,s4(d),true) != true
    | ifeq(true,true,s4(d),true) = true ),
    inference(resolve,[$cnf( $equal(l1(d,d),true) )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    ifeq(true,true,s4(d),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(l1(d,d),true,s4(d),true),true) )],[refute_0_45,refute_0_55]) ).

cnf(refute_0_57,plain,
    ifeq(true,true,s4(d),true) = s4(d),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s4(d))),bind(C,$fot(true))]]) ).

cnf(refute_0_58,plain,
    ( ifeq(true,true,s4(d),true) != s4(d)
    | ifeq(true,true,s4(d),true) != true
    | s4(d) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,s4(d),true),true) ),[0],$fot(s4(d))]]) ).

cnf(refute_0_59,plain,
    ( ifeq(true,true,s4(d),true) != true
    | s4(d) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,s4(d),true),s4(d)) )],[refute_0_57,refute_0_58]) ).

cnf(refute_0_60,plain,
    s4(d) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,s4(d),true),true) )],[refute_0_56,refute_0_59]) ).

cnf(refute_0_61,plain,
    ( ifeq(s4(d),true,ifeq(m4(e,e),true,m5(d,d),true),true) != true
    | s4(d) != true
    | ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s4(d),true,ifeq(m4(e,e),true,m5(d,d),true),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_62,plain,
    ( ifeq(s4(d),true,ifeq(m4(e,e),true,m5(d,d),true),true) != true
    | ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) = true ),
    inference(resolve,[$cnf( $equal(s4(d),true) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(s4(d),true,ifeq(m4(e,e),true,m5(d,d),true),true),true) )],[refute_0_0,refute_0_62]) ).

cnf(refute_0_64,plain,
    ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) = ifeq(m4(e,e),true,m5(d,d),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(m4(e,e),true,m5(d,d),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_65,plain,
    ( ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) != ifeq(m4(e,e),true,m5(d,d),true)
    | ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) != true
    | ifeq(m4(e,e),true,m5(d,d),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true),true) ),[0],$fot(ifeq(m4(e,e),true,m5(d,d),true))]]) ).

cnf(refute_0_66,plain,
    ( ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true) != true
    | ifeq(m4(e,e),true,m5(d,d),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true),ifeq(m4(e,e),true,m5(d,d),true)) )],[refute_0_64,refute_0_65]) ).

cnf(refute_0_67,plain,
    ifeq(m4(e,e),true,m5(d,d),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true),true) )],[refute_0_63,refute_0_66]) ).

cnf(refute_0_68,plain,
    ifeq(true,true,m5(d,d),true) = m5(d,d),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(m5(d,d))),bind(C,$fot(true))]]) ).

cnf(refute_0_69,plain,
    ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true) = ifeq(l2(G,F),true,m4(E,F),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(l2(G,F),true,m4(E,F),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_70,plain,
    ifeq(s2(a),true,ifeq(q2(b,a,b),true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = true,
    inference(subst,[],[rule_273:[bind(A,$fot(b)),bind(B,$fot(X_1190)),bind(I,$fot(a)),bind(J,$fot(X_1192))]]) ).

cnf(refute_0_71,plain,
    ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(n1(a,X_977,X_977),true,q2(X_977,a,X_977),true),true),true) = true,
    inference(subst,[],[rule_182:[bind(F,$fot(X_977)),bind(G,$fot(a)),bind(H,$fot(X_977))]]) ).

cnf(refute_0_72,plain,
    ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(l1(a,a),true,n1(a,X_869,X_869),true),true),true) = true,
    inference(subst,[],[rule_054:[bind(E,$fot(a)),bind(F,$fot(X_869)),bind(G,$fot(a))]]) ).

cnf(refute_0_73,plain,
    ifeq(n0(b,a),true,l1(a,a),true) = true,
    inference(subst,[],[rule_002:[bind(G,$fot(a)),bind(H,$fot(b))]]) ).

cnf(refute_0_74,plain,
    ( ifeq(n0(b,a),true,l1(a,a),true) != true
    | n0(b,a) != true
    | ifeq(true,true,l1(a,a),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(n0(b,a),true,l1(a,a),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_75,plain,
    ( ifeq(n0(b,a),true,l1(a,a),true) != true
    | ifeq(true,true,l1(a,a),true) = true ),
    inference(resolve,[$cnf( $equal(n0(b,a),true) )],[axiom_37,refute_0_74]) ).

cnf(refute_0_76,plain,
    ifeq(true,true,l1(a,a),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(n0(b,a),true,l1(a,a),true),true) )],[refute_0_73,refute_0_75]) ).

cnf(refute_0_77,plain,
    ifeq(true,true,l1(a,a),true) = l1(a,a),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(l1(a,a))),bind(C,$fot(true))]]) ).

cnf(refute_0_78,plain,
    ( ifeq(true,true,l1(a,a),true) != l1(a,a)
    | ifeq(true,true,l1(a,a),true) != true
    | l1(a,a) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,l1(a,a),true),true) ),[0],$fot(l1(a,a))]]) ).

cnf(refute_0_79,plain,
    ( ifeq(true,true,l1(a,a),true) != true
    | l1(a,a) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,l1(a,a),true),l1(a,a)) )],[refute_0_77,refute_0_78]) ).

cnf(refute_0_80,plain,
    l1(a,a) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,l1(a,a),true),true) )],[refute_0_76,refute_0_79]) ).

cnf(refute_0_81,plain,
    ( ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(l1(a,a),true,n1(a,X_869,X_869),true),true),true) != true
    | l1(a,a) != true
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(l1(a,a),true,n1(a,X_869,X_869),true),true),true),true) ),[0,2,2,0],$fot(true)]]) ).

cnf(refute_0_82,plain,
    ( ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(l1(a,a),true,n1(a,X_869,X_869),true),true),true) != true
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = true ),
    inference(resolve,[$cnf( $equal(l1(a,a),true) )],[refute_0_80,refute_0_81]) ).

cnf(refute_0_83,plain,
    ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(l1(a,a),true,n1(a,X_869,X_869),true),true),true),true) )],[refute_0_72,refute_0_82]) ).

cnf(refute_0_84,plain,
    ifeq(true,true,n1(a,X_869,X_869),true) = n1(a,X_869,X_869),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(n1(a,X_869,X_869))),bind(C,$fot(true))]]) ).

cnf(refute_0_85,plain,
    ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true),
    introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true))]]) ).

cnf(refute_0_86,plain,
    ( ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) != ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true)
    | ifeq(true,true,n1(a,X_869,X_869),true) != n1(a,X_869,X_869)
    | ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,n1(a,X_869,X_869),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true),ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true)) ),[1,2],$fot(n1(a,X_869,X_869))]]) ).

cnf(refute_0_87,plain,
    ( ifeq(true,true,n1(a,X_869,X_869),true) != n1(a,X_869,X_869)
    | ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,n1(a,X_869,X_869),true) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true),ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true)) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,n1(a,X_869,X_869),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,n1(a,X_869,X_869),true),n1(a,X_869,X_869)) )],[refute_0_84,refute_0_87]) ).

cnf(refute_0_89,plain,
    ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),
    introduced(tautology,[refl,[$fot(ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true))]]) ).

cnf(refute_0_90,plain,
    ( ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) != ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true)
    | l0(a) != true
    | ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_91,plain,
    ( l0(a) != true
    | ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true)) )],[refute_0_89,refute_0_90]) ).

cnf(refute_0_92,plain,
    ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true),
    inference(resolve,[$cnf( $equal(l0(a),true) )],[axiom_20,refute_0_91]) ).

cnf(refute_0_93,plain,
    ( ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) != ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true)
    | ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) != ifeq(true,true,n1(a,X_869,X_869),true)
    | ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,n1(a,X_869,X_869),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true))),bind(Z,$fot(ifeq(true,true,n1(a,X_869,X_869),true)))]]) ).

cnf(refute_0_94,plain,
    ( ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true) != ifeq(true,true,n1(a,X_869,X_869),true)
    | ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,n1(a,X_869,X_869),true) ),
    inference(resolve,[$cnf( $equal(ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true)) )],[refute_0_92,refute_0_93]) ).

cnf(refute_0_95,plain,
    ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = ifeq(true,true,n1(a,X_869,X_869),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,n1(a,X_869,X_869),true),true),ifeq(true,true,n1(a,X_869,X_869),true)) )],[refute_0_88,refute_0_94]) ).

cnf(refute_0_96,plain,
    ( ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) != ifeq(true,true,n1(a,X_869,X_869),true)
    | ifeq(true,true,n1(a,X_869,X_869),true) != n1(a,X_869,X_869)
    | ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = n1(a,X_869,X_869) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true))),bind(Y0,$fot(ifeq(true,true,n1(a,X_869,X_869),true))),bind(Z,$fot(n1(a,X_869,X_869)))]]) ).

cnf(refute_0_97,plain,
    ( ifeq(true,true,n1(a,X_869,X_869),true) != n1(a,X_869,X_869)
    | ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = n1(a,X_869,X_869) ),
    inference(resolve,[$cnf( $equal(ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),ifeq(true,true,n1(a,X_869,X_869),true)) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) = n1(a,X_869,X_869),
    inference(resolve,[$cnf( $equal(ifeq(true,true,n1(a,X_869,X_869),true),n1(a,X_869,X_869)) )],[refute_0_84,refute_0_97]) ).

cnf(refute_0_99,plain,
    ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true))]]) ).

cnf(refute_0_100,plain,
    ( ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) != n1(a,X_869,X_869)
    | ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true)
    | ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,n1(a,X_869,X_869),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true)) ),[1,2],$fot(n1(a,X_869,X_869))]]) ).

cnf(refute_0_101,plain,
    ( ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true) != n1(a,X_869,X_869)
    | ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,n1(a,X_869,X_869),true) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true)) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,n1(a,X_869,X_869),true),
    inference(resolve,[$cnf( $equal(ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),n1(a,X_869,X_869)) )],[refute_0_98,refute_0_101]) ).

cnf(refute_0_103,plain,
    ifeq(true,true,n1(D,E,D),true) = n1(D,E,D),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(n1(D,E,D))),bind(C,$fot(true))]]) ).

cnf(refute_0_104,plain,
    ifeq(s0(b),true,n1(D,E,D),true) = ifeq(s0(b),true,n1(D,E,D),true),
    introduced(tautology,[refl,[$fot(ifeq(s0(b),true,n1(D,E,D),true))]]) ).

cnf(refute_0_105,plain,
    ( ifeq(s0(b),true,n1(D,E,D),true) != ifeq(s0(b),true,n1(D,E,D),true)
    | s0(b) != true
    | ifeq(s0(b),true,n1(D,E,D),true) = ifeq(true,true,n1(D,E,D),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s0(b),true,n1(D,E,D),true),ifeq(s0(b),true,n1(D,E,D),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_106,plain,
    ( s0(b) != true
    | ifeq(s0(b),true,n1(D,E,D),true) = ifeq(true,true,n1(D,E,D),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s0(b),true,n1(D,E,D),true),ifeq(s0(b),true,n1(D,E,D),true)) )],[refute_0_104,refute_0_105]) ).

cnf(refute_0_107,plain,
    ifeq(s0(b),true,n1(D,E,D),true) = ifeq(true,true,n1(D,E,D),true),
    inference(resolve,[$cnf( $equal(s0(b),true) )],[axiom_5,refute_0_106]) ).

cnf(refute_0_108,plain,
    ( ifeq(s0(b),true,n1(D,E,D),true) != ifeq(true,true,n1(D,E,D),true)
    | ifeq(true,true,n1(D,E,D),true) != n1(D,E,D)
    | ifeq(s0(b),true,n1(D,E,D),true) = n1(D,E,D) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s0(b),true,n1(D,E,D),true))),bind(Y0,$fot(ifeq(true,true,n1(D,E,D),true))),bind(Z,$fot(n1(D,E,D)))]]) ).

cnf(refute_0_109,plain,
    ( ifeq(true,true,n1(D,E,D),true) != n1(D,E,D)
    | ifeq(s0(b),true,n1(D,E,D),true) = n1(D,E,D) ),
    inference(resolve,[$cnf( $equal(ifeq(s0(b),true,n1(D,E,D),true),ifeq(true,true,n1(D,E,D),true)) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    ifeq(s0(b),true,n1(D,E,D),true) = n1(D,E,D),
    inference(resolve,[$cnf( $equal(ifeq(true,true,n1(D,E,D),true),n1(D,E,D)) )],[refute_0_103,refute_0_109]) ).

cnf(refute_0_111,plain,
    ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true),
    introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true))]]) ).

cnf(refute_0_112,plain,
    ( ifeq(s0(b),true,n1(D,E,D),true) != n1(D,E,D)
    | ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) != ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true)
    | ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,n1(D,E,D),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true),ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true)) ),[1,2],$fot(n1(D,E,D))]]) ).

cnf(refute_0_113,plain,
    ( ifeq(s0(b),true,n1(D,E,D),true) != n1(D,E,D)
    | ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,n1(D,E,D),true) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true),ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true)) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,n1(D,E,D),true),
    inference(resolve,[$cnf( $equal(ifeq(s0(b),true,n1(D,E,D),true),n1(D,E,D)) )],[refute_0_110,refute_0_113]) ).

cnf(refute_0_115,plain,
    p0(b,E) = true,
    inference(subst,[],[axiom_14:[bind(X,$fot(E))]]) ).

cnf(refute_0_116,plain,
    ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),
    introduced(tautology,[refl,[$fot(ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true))]]) ).

cnf(refute_0_117,plain,
    ( ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) != ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true)
    | p0(b,E) != true
    | ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_118,plain,
    ( p0(b,E) != true
    | ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true)) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true),
    inference(resolve,[$cnf( $equal(p0(b,E),true) )],[refute_0_115,refute_0_118]) ).

cnf(refute_0_120,plain,
    ( ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) != ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true)
    | ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) != ifeq(true,true,n1(D,E,D),true)
    | ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,n1(D,E,D),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true))),bind(Z,$fot(ifeq(true,true,n1(D,E,D),true)))]]) ).

cnf(refute_0_121,plain,
    ( ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true) != ifeq(true,true,n1(D,E,D),true)
    | ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,n1(D,E,D),true) ),
    inference(resolve,[$cnf( $equal(ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true)) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = ifeq(true,true,n1(D,E,D),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(s0(b),true,n1(D,E,D),true),true),ifeq(true,true,n1(D,E,D),true)) )],[refute_0_114,refute_0_121]) ).

cnf(refute_0_123,plain,
    ( ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) != ifeq(true,true,n1(D,E,D),true)
    | ifeq(true,true,n1(D,E,D),true) != n1(D,E,D)
    | ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = n1(D,E,D) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true))),bind(Y0,$fot(ifeq(true,true,n1(D,E,D),true))),bind(Z,$fot(n1(D,E,D)))]]) ).

cnf(refute_0_124,plain,
    ( ifeq(true,true,n1(D,E,D),true) != n1(D,E,D)
    | ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = n1(D,E,D) ),
    inference(resolve,[$cnf( $equal(ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),ifeq(true,true,n1(D,E,D),true)) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) = n1(D,E,D),
    inference(resolve,[$cnf( $equal(ifeq(true,true,n1(D,E,D),true),n1(D,E,D)) )],[refute_0_103,refute_0_124]) ).

cnf(refute_0_126,plain,
    ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) = ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true))]]) ).

cnf(refute_0_127,plain,
    ( ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) != ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true)
    | ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) != n1(D,E,D)
    | ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) = ifeq(l0(D),true,n1(D,E,D),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true),ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true)) ),[1,2],$fot(n1(D,E,D))]]) ).

cnf(refute_0_128,plain,
    ( ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true) != n1(D,E,D)
    | ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) = ifeq(l0(D),true,n1(D,E,D),true) ),
    inference(resolve,[$cnf( $equal(ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true),ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true)) )],[refute_0_126,refute_0_127]) ).

cnf(refute_0_129,plain,
    ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) = ifeq(l0(D),true,n1(D,E,D),true),
    inference(resolve,[$cnf( $equal(ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),n1(D,E,D)) )],[refute_0_125,refute_0_128]) ).

cnf(refute_0_130,plain,
    ( ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) != ifeq(l0(D),true,n1(D,E,D),true)
    | ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) != true
    | ifeq(l0(D),true,n1(D,E,D),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true),true) ),[0],$fot(ifeq(l0(D),true,n1(D,E,D),true))]]) ).

cnf(refute_0_131,plain,
    ( ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) != true
    | ifeq(l0(D),true,n1(D,E,D),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true),ifeq(l0(D),true,n1(D,E,D),true)) )],[refute_0_129,refute_0_130]) ).

cnf(refute_0_132,plain,
    ifeq(l0(D),true,n1(D,E,D),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true),true) )],[rule_050,refute_0_131]) ).

cnf(refute_0_133,plain,
    ifeq(l0(a),true,n1(a,X_74,a),true) = true,
    inference(subst,[],[refute_0_132:[bind(D,$fot(a)),bind(E,$fot(X_74))]]) ).

cnf(refute_0_134,plain,
    ( ifeq(l0(a),true,n1(a,X_74,a),true) != true
    | l0(a) != true
    | ifeq(true,true,n1(a,X_74,a),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l0(a),true,n1(a,X_74,a),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_135,plain,
    ( ifeq(l0(a),true,n1(a,X_74,a),true) != true
    | ifeq(true,true,n1(a,X_74,a),true) = true ),
    inference(resolve,[$cnf( $equal(l0(a),true) )],[axiom_20,refute_0_134]) ).

cnf(refute_0_136,plain,
    ifeq(true,true,n1(a,X_74,a),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(l0(a),true,n1(a,X_74,a),true),true) )],[refute_0_133,refute_0_135]) ).

cnf(refute_0_137,plain,
    ifeq(true,true,n1(a,X_74,a),true) = n1(a,X_74,a),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(n1(a,X_74,a))),bind(C,$fot(true))]]) ).

cnf(refute_0_138,plain,
    ( ifeq(true,true,n1(a,X_74,a),true) != n1(a,X_74,a)
    | ifeq(true,true,n1(a,X_74,a),true) != true
    | n1(a,X_74,a) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,n1(a,X_74,a),true),true) ),[0],$fot(n1(a,X_74,a))]]) ).

cnf(refute_0_139,plain,
    ( ifeq(true,true,n1(a,X_74,a),true) != true
    | n1(a,X_74,a) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,n1(a,X_74,a),true),n1(a,X_74,a)) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    n1(a,X_74,a) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,n1(a,X_74,a),true),true) )],[refute_0_136,refute_0_139]) ).

cnf(refute_0_141,plain,
    n1(a,X_869,a) = true,
    inference(subst,[],[refute_0_140:[bind(X_74,$fot(X_869))]]) ).

cnf(refute_0_142,plain,
    ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true))]]) ).

cnf(refute_0_143,plain,
    ( ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true)
    | n1(a,X_869,a) != true
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_144,plain,
    ( n1(a,X_869,a) != true
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true)) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),
    inference(resolve,[$cnf( $equal(n1(a,X_869,a),true) )],[refute_0_141,refute_0_144]) ).

cnf(refute_0_146,plain,
    ( ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true)
    | ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != ifeq(true,true,n1(a,X_869,X_869),true)
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,n1(a,X_869,X_869),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true))),bind(Z,$fot(ifeq(true,true,n1(a,X_869,X_869),true)))]]) ).

cnf(refute_0_147,plain,
    ( ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != ifeq(true,true,n1(a,X_869,X_869),true)
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,n1(a,X_869,X_869),true) ),
    inference(resolve,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true)) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = ifeq(true,true,n1(a,X_869,X_869),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),ifeq(true,true,n1(a,X_869,X_869),true)) )],[refute_0_102,refute_0_147]) ).

cnf(refute_0_149,plain,
    ( ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != ifeq(true,true,n1(a,X_869,X_869),true)
    | ifeq(true,true,n1(a,X_869,X_869),true) != n1(a,X_869,X_869)
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = n1(a,X_869,X_869) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true))),bind(Y0,$fot(ifeq(true,true,n1(a,X_869,X_869),true))),bind(Z,$fot(n1(a,X_869,X_869)))]]) ).

cnf(refute_0_150,plain,
    ( ifeq(true,true,n1(a,X_869,X_869),true) != n1(a,X_869,X_869)
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = n1(a,X_869,X_869) ),
    inference(resolve,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),ifeq(true,true,n1(a,X_869,X_869),true)) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) = n1(a,X_869,X_869),
    inference(resolve,[$cnf( $equal(ifeq(true,true,n1(a,X_869,X_869),true),n1(a,X_869,X_869)) )],[refute_0_84,refute_0_150]) ).

cnf(refute_0_152,plain,
    ( ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != n1(a,X_869,X_869)
    | ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != true
    | n1(a,X_869,X_869) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),true) ),[0],$fot(n1(a,X_869,X_869))]]) ).

cnf(refute_0_153,plain,
    ( ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true) != true
    | n1(a,X_869,X_869) = true ),
    inference(resolve,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),n1(a,X_869,X_869)) )],[refute_0_151,refute_0_152]) ).

cnf(refute_0_154,plain,
    n1(a,X_869,X_869) = true,
    inference(resolve,[$cnf( $equal(ifeq(n1(a,X_869,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X_869,X_869),true),true),true),true) )],[refute_0_83,refute_0_153]) ).

cnf(refute_0_155,plain,
    n1(a,X_977,X_977) = true,
    inference(subst,[],[refute_0_154:[bind(X_869,$fot(X_977))]]) ).

cnf(refute_0_156,plain,
    ( ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(n1(a,X_977,X_977),true,q2(X_977,a,X_977),true),true),true) != true
    | n1(a,X_977,X_977) != true
    | ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(n1(a,X_977,X_977),true,q2(X_977,a,X_977),true),true),true),true) ),[0,2,2,0],$fot(true)]]) ).

cnf(refute_0_157,plain,
    ( ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(n1(a,X_977,X_977),true,q2(X_977,a,X_977),true),true),true) != true
    | ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) = true ),
    inference(resolve,[$cnf( $equal(n1(a,X_977,X_977),true) )],[refute_0_155,refute_0_156]) ).

cnf(refute_0_158,plain,
    ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(n1(a,X_977,X_977),true,q2(X_977,a,X_977),true),true),true),true) )],[refute_0_71,refute_0_157]) ).

cnf(refute_0_159,plain,
    ifeq(true,true,q2(X_977,a,X_977),true) = q2(X_977,a,X_977),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(q2(X_977,a,X_977))),bind(C,$fot(true))]]) ).

cnf(refute_0_160,plain,
    ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true),
    introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true))]]) ).

cnf(refute_0_161,plain,
    ( ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) != ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true)
    | ifeq(true,true,q2(X_977,a,X_977),true) != q2(X_977,a,X_977)
    | ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,q2(X_977,a,X_977),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true),ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true)) ),[1,2],$fot(q2(X_977,a,X_977))]]) ).

cnf(refute_0_162,plain,
    ( ifeq(true,true,q2(X_977,a,X_977),true) != q2(X_977,a,X_977)
    | ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,q2(X_977,a,X_977),true) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true),ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true)) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,q2(X_977,a,X_977),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,q2(X_977,a,X_977),true),q2(X_977,a,X_977)) )],[refute_0_159,refute_0_162]) ).

cnf(refute_0_164,plain,
    p1(X_977,X_977,X_977) = true,
    inference(subst,[],[refute_0_12:[bind(X_80,$fot(X_977))]]) ).

cnf(refute_0_165,plain,
    ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),
    introduced(tautology,[refl,[$fot(ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true))]]) ).

cnf(refute_0_166,plain,
    ( ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) != ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true)
    | p1(X_977,X_977,X_977) != true
    | ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_167,plain,
    ( p1(X_977,X_977,X_977) != true
    | ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true)) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true),
    inference(resolve,[$cnf( $equal(p1(X_977,X_977,X_977),true) )],[refute_0_164,refute_0_167]) ).

cnf(refute_0_169,plain,
    ( ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) != ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true)
    | ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) != ifeq(true,true,q2(X_977,a,X_977),true)
    | ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,q2(X_977,a,X_977),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true))),bind(Z,$fot(ifeq(true,true,q2(X_977,a,X_977),true)))]]) ).

cnf(refute_0_170,plain,
    ( ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true) != ifeq(true,true,q2(X_977,a,X_977),true)
    | ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,q2(X_977,a,X_977),true) ),
    inference(resolve,[$cnf( $equal(ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true)) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = ifeq(true,true,q2(X_977,a,X_977),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,q2(X_977,a,X_977),true),true),ifeq(true,true,q2(X_977,a,X_977),true)) )],[refute_0_163,refute_0_170]) ).

cnf(refute_0_172,plain,
    ( ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) != ifeq(true,true,q2(X_977,a,X_977),true)
    | ifeq(true,true,q2(X_977,a,X_977),true) != q2(X_977,a,X_977)
    | ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = q2(X_977,a,X_977) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true))),bind(Y0,$fot(ifeq(true,true,q2(X_977,a,X_977),true))),bind(Z,$fot(q2(X_977,a,X_977)))]]) ).

cnf(refute_0_173,plain,
    ( ifeq(true,true,q2(X_977,a,X_977),true) != q2(X_977,a,X_977)
    | ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = q2(X_977,a,X_977) ),
    inference(resolve,[$cnf( $equal(ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),ifeq(true,true,q2(X_977,a,X_977),true)) )],[refute_0_171,refute_0_172]) ).

cnf(refute_0_174,plain,
    ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) = q2(X_977,a,X_977),
    inference(resolve,[$cnf( $equal(ifeq(true,true,q2(X_977,a,X_977),true),q2(X_977,a,X_977)) )],[refute_0_159,refute_0_173]) ).

cnf(refute_0_175,plain,
    ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) = ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true))]]) ).

cnf(refute_0_176,plain,
    ( ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) != q2(X_977,a,X_977)
    | ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) != ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true)
    | ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) = ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true),ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true)) ),[1,2],$fot(q2(X_977,a,X_977))]]) ).

cnf(refute_0_177,plain,
    ( ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true) != q2(X_977,a,X_977)
    | ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) = ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true) ),
    inference(resolve,[$cnf( $equal(ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true),ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true)) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) = ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true),
    inference(resolve,[$cnf( $equal(ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),q2(X_977,a,X_977)) )],[refute_0_174,refute_0_177]) ).

cnf(refute_0_179,plain,
    ( ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) != ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true)
    | ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) != true
    | ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true),true) ),[0],$fot(ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true))]]) ).

cnf(refute_0_180,plain,
    ( ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true) != true
    | ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true),ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true)) )],[refute_0_178,refute_0_179]) ).

cnf(refute_0_181,plain,
    ifeq(q2(a,X_977,X_977),true,q2(X_977,a,X_977),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(q2(a,X_977,X_977),true,ifeq(p1(X_977,X_977,X_977),true,ifeq(true,true,q2(X_977,a,X_977),true),true),true),true) )],[refute_0_158,refute_0_180]) ).

cnf(refute_0_182,plain,
    ifeq(q2(a,b,b),true,q2(b,a,b),true) = true,
    inference(subst,[],[refute_0_181:[bind(X_977,$fot(b))]]) ).

cnf(refute_0_183,plain,
    ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true) = ifeq(k0(F),true,q2(E,F,F),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(k0(F),true,q2(E,F,F),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_184,plain,
    p1(E,E,E) = true,
    inference(subst,[],[refute_0_12:[bind(X_80,$fot(E))]]) ).

cnf(refute_0_185,plain,
    ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true),
    introduced(tautology,[refl,[$fot(ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true))]]) ).

cnf(refute_0_186,plain,
    ( ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) != ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true)
    | p1(E,E,E) != true
    | ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true),ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_187,plain,
    ( p1(E,E,E) != true
    | ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true),ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true)) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true),
    inference(resolve,[$cnf( $equal(p1(E,E,E),true) )],[refute_0_184,refute_0_187]) ).

cnf(refute_0_189,plain,
    ( ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) != ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true)
    | ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true) != ifeq(k0(F),true,q2(E,F,F),true)
    | ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = ifeq(k0(F),true,q2(E,F,F),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true))),bind(Z,$fot(ifeq(k0(F),true,q2(E,F,F),true)))]]) ).

cnf(refute_0_190,plain,
    ( ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true) != ifeq(k0(F),true,q2(E,F,F),true)
    | ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = ifeq(k0(F),true,q2(E,F,F),true) ),
    inference(resolve,[$cnf( $equal(ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true),ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true)) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = ifeq(k0(F),true,q2(E,F,F),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(k0(F),true,q2(E,F,F),true),true),ifeq(k0(F),true,q2(E,F,F),true)) )],[refute_0_183,refute_0_190]) ).

cnf(refute_0_192,plain,
    ( ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) != ifeq(k0(F),true,q2(E,F,F),true)
    | ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) != true
    | ifeq(k0(F),true,q2(E,F,F),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true),true) ),[0],$fot(ifeq(k0(F),true,q2(E,F,F),true))]]) ).

cnf(refute_0_193,plain,
    ( ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) != true
    | ifeq(k0(F),true,q2(E,F,F),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true),ifeq(k0(F),true,q2(E,F,F),true)) )],[refute_0_191,refute_0_192]) ).

cnf(refute_0_194,plain,
    ifeq(k0(F),true,q2(E,F,F),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true),true) )],[rule_177,refute_0_193]) ).

cnf(refute_0_195,plain,
    ifeq(k0(b),true,q2(X_375,b,b),true) = true,
    inference(subst,[],[refute_0_194:[bind(E,$fot(X_375)),bind(F,$fot(b))]]) ).

cnf(refute_0_196,plain,
    ( ifeq(k0(b),true,q2(X_375,b,b),true) != true
    | k0(b) != true
    | ifeq(true,true,q2(X_375,b,b),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(k0(b),true,q2(X_375,b,b),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_197,plain,
    ( ifeq(k0(b),true,q2(X_375,b,b),true) != true
    | ifeq(true,true,q2(X_375,b,b),true) = true ),
    inference(resolve,[$cnf( $equal(k0(b),true) )],[axiom_32,refute_0_196]) ).

cnf(refute_0_198,plain,
    ifeq(true,true,q2(X_375,b,b),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(k0(b),true,q2(X_375,b,b),true),true) )],[refute_0_195,refute_0_197]) ).

cnf(refute_0_199,plain,
    ifeq(true,true,q2(X_375,b,b),true) = q2(X_375,b,b),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(q2(X_375,b,b))),bind(C,$fot(true))]]) ).

cnf(refute_0_200,plain,
    ( ifeq(true,true,q2(X_375,b,b),true) != q2(X_375,b,b)
    | ifeq(true,true,q2(X_375,b,b),true) != true
    | q2(X_375,b,b) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,q2(X_375,b,b),true),true) ),[0],$fot(q2(X_375,b,b))]]) ).

cnf(refute_0_201,plain,
    ( ifeq(true,true,q2(X_375,b,b),true) != true
    | q2(X_375,b,b) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,q2(X_375,b,b),true),q2(X_375,b,b)) )],[refute_0_199,refute_0_200]) ).

cnf(refute_0_202,plain,
    q2(X_375,b,b) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,q2(X_375,b,b),true),true) )],[refute_0_198,refute_0_201]) ).

cnf(refute_0_203,plain,
    q2(a,b,b) = true,
    inference(subst,[],[refute_0_202:[bind(X_375,$fot(a))]]) ).

cnf(refute_0_204,plain,
    ( ifeq(q2(a,b,b),true,q2(b,a,b),true) != true
    | q2(a,b,b) != true
    | ifeq(true,true,q2(b,a,b),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(q2(a,b,b),true,q2(b,a,b),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_205,plain,
    ( ifeq(q2(a,b,b),true,q2(b,a,b),true) != true
    | ifeq(true,true,q2(b,a,b),true) = true ),
    inference(resolve,[$cnf( $equal(q2(a,b,b),true) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    ifeq(true,true,q2(b,a,b),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(q2(a,b,b),true,q2(b,a,b),true),true) )],[refute_0_182,refute_0_205]) ).

cnf(refute_0_207,plain,
    ifeq(true,true,q2(b,a,b),true) = q2(b,a,b),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(q2(b,a,b))),bind(C,$fot(true))]]) ).

cnf(refute_0_208,plain,
    ( ifeq(true,true,q2(b,a,b),true) != q2(b,a,b)
    | ifeq(true,true,q2(b,a,b),true) != true
    | q2(b,a,b) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,q2(b,a,b),true),true) ),[0],$fot(q2(b,a,b))]]) ).

cnf(refute_0_209,plain,
    ( ifeq(true,true,q2(b,a,b),true) != true
    | q2(b,a,b) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,q2(b,a,b),true),q2(b,a,b)) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    q2(b,a,b) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,q2(b,a,b),true),true) )],[refute_0_206,refute_0_209]) ).

cnf(refute_0_211,plain,
    ( ifeq(s2(a),true,ifeq(q2(b,a,b),true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != true
    | q2(b,a,b) != true
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s2(a),true,ifeq(q2(b,a,b),true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),true) ),[0,2,0],$fot(true)]]) ).

cnf(refute_0_212,plain,
    ( ifeq(s2(a),true,ifeq(q2(b,a,b),true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != true
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = true ),
    inference(resolve,[$cnf( $equal(q2(b,a,b),true) )],[refute_0_210,refute_0_211]) ).

cnf(refute_0_213,plain,
    ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(s2(a),true,ifeq(q2(b,a,b),true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),true) )],[refute_0_70,refute_0_212]) ).

cnf(refute_0_214,plain,
    ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) = ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_215,plain,
    ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true))]]) ).

cnf(refute_0_216,plain,
    ( ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) != ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)
    | ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true)
    | ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true)) ),[1,2],$fot(ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true))]]) ).

cnf(refute_0_217,plain,
    ( ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) != ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)
    | ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true)) )],[refute_0_215,refute_0_216]) ).

cnf(refute_0_218,plain,
    ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)) )],[refute_0_214,refute_0_217]) ).

cnf(refute_0_219,plain,
    ifeq(true,true,s2(H),true) = s2(H),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s2(H))),bind(C,$fot(true))]]) ).

cnf(refute_0_220,plain,
    ifeq(p0(b,b),true,s1(b),true) = true,
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_221,plain,
    p0(b,b) = true,
    inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).

cnf(refute_0_222,plain,
    ( ifeq(p0(b,b),true,s1(b),true) != true
    | p0(b,b) != true
    | ifeq(true,true,s1(b),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(b,b),true,s1(b),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_223,plain,
    ( ifeq(p0(b,b),true,s1(b),true) != true
    | ifeq(true,true,s1(b),true) = true ),
    inference(resolve,[$cnf( $equal(p0(b,b),true) )],[refute_0_221,refute_0_222]) ).

cnf(refute_0_224,plain,
    ifeq(true,true,s1(b),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(p0(b,b),true,s1(b),true),true) )],[refute_0_220,refute_0_223]) ).

cnf(refute_0_225,plain,
    ifeq(true,true,s1(b),true) = s1(b),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s1(b))),bind(C,$fot(true))]]) ).

cnf(refute_0_226,plain,
    ( ifeq(true,true,s1(b),true) != s1(b)
    | ifeq(true,true,s1(b),true) != true
    | s1(b) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,s1(b),true),true) ),[0],$fot(s1(b))]]) ).

cnf(refute_0_227,plain,
    ( ifeq(true,true,s1(b),true) != true
    | s1(b) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,s1(b),true),s1(b)) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    s1(b) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,s1(b),true),true) )],[refute_0_224,refute_0_227]) ).

cnf(refute_0_229,plain,
    ifeq(s1(b),true,s2(H),true) = ifeq(s1(b),true,s2(H),true),
    introduced(tautology,[refl,[$fot(ifeq(s1(b),true,s2(H),true))]]) ).

cnf(refute_0_230,plain,
    ( ifeq(s1(b),true,s2(H),true) != ifeq(s1(b),true,s2(H),true)
    | s1(b) != true
    | ifeq(s1(b),true,s2(H),true) = ifeq(true,true,s2(H),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(b),true,s2(H),true),ifeq(s1(b),true,s2(H),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_231,plain,
    ( s1(b) != true
    | ifeq(s1(b),true,s2(H),true) = ifeq(true,true,s2(H),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s1(b),true,s2(H),true),ifeq(s1(b),true,s2(H),true)) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    ifeq(s1(b),true,s2(H),true) = ifeq(true,true,s2(H),true),
    inference(resolve,[$cnf( $equal(s1(b),true) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    ( ifeq(s1(b),true,s2(H),true) != ifeq(true,true,s2(H),true)
    | ifeq(true,true,s2(H),true) != s2(H)
    | ifeq(s1(b),true,s2(H),true) = s2(H) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s1(b),true,s2(H),true))),bind(Y0,$fot(ifeq(true,true,s2(H),true))),bind(Z,$fot(s2(H)))]]) ).

cnf(refute_0_234,plain,
    ( ifeq(true,true,s2(H),true) != s2(H)
    | ifeq(s1(b),true,s2(H),true) = s2(H) ),
    inference(resolve,[$cnf( $equal(ifeq(s1(b),true,s2(H),true),ifeq(true,true,s2(H),true)) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    ifeq(s1(b),true,s2(H),true) = s2(H),
    inference(resolve,[$cnf( $equal(ifeq(true,true,s2(H),true),s2(H)) )],[refute_0_219,refute_0_234]) ).

cnf(refute_0_236,plain,
    ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) = ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true),
    introduced(tautology,[refl,[$fot(ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true))]]) ).

cnf(refute_0_237,plain,
    ( ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) != ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true)
    | ifeq(s1(b),true,s2(H),true) != s2(H)
    | ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) = ifeq(q2(b,H,b),true,s2(H),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true),ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true)) ),[1,2],$fot(s2(H))]]) ).

cnf(refute_0_238,plain,
    ( ifeq(s1(b),true,s2(H),true) != s2(H)
    | ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) = ifeq(q2(b,H,b),true,s2(H),true) ),
    inference(resolve,[$cnf( $equal(ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true),ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true)) )],[refute_0_236,refute_0_237]) ).

cnf(refute_0_239,plain,
    ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) = ifeq(q2(b,H,b),true,s2(H),true),
    inference(resolve,[$cnf( $equal(ifeq(s1(b),true,s2(H),true),s2(H)) )],[refute_0_235,refute_0_238]) ).

cnf(refute_0_240,plain,
    ( ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) != ifeq(q2(b,H,b),true,s2(H),true)
    | ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) != true
    | ifeq(q2(b,H,b),true,s2(H),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true),true) ),[0],$fot(ifeq(q2(b,H,b),true,s2(H),true))]]) ).

cnf(refute_0_241,plain,
    ( ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) != true
    | ifeq(q2(b,H,b),true,s2(H),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true),ifeq(q2(b,H,b),true,s2(H),true)) )],[refute_0_239,refute_0_240]) ).

cnf(refute_0_242,plain,
    ifeq(q2(b,H,b),true,s2(H),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true),true) )],[rule_189,refute_0_241]) ).

cnf(refute_0_243,plain,
    ifeq(q2(b,a,b),true,s2(a),true) = true,
    inference(subst,[],[refute_0_242:[bind(H,$fot(a))]]) ).

cnf(refute_0_244,plain,
    ( ifeq(q2(b,a,b),true,s2(a),true) != true
    | q2(b,a,b) != true
    | ifeq(true,true,s2(a),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(q2(b,a,b),true,s2(a),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_245,plain,
    ( ifeq(q2(b,a,b),true,s2(a),true) != true
    | ifeq(true,true,s2(a),true) = true ),
    inference(resolve,[$cnf( $equal(q2(b,a,b),true) )],[refute_0_210,refute_0_244]) ).

cnf(refute_0_246,plain,
    ifeq(true,true,s2(a),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(q2(b,a,b),true,s2(a),true),true) )],[refute_0_243,refute_0_245]) ).

cnf(refute_0_247,plain,
    ifeq(true,true,s2(a),true) = s2(a),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s2(a))),bind(C,$fot(true))]]) ).

cnf(refute_0_248,plain,
    ( ifeq(true,true,s2(a),true) != s2(a)
    | ifeq(true,true,s2(a),true) != true
    | s2(a) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,s2(a),true),true) ),[0],$fot(s2(a))]]) ).

cnf(refute_0_249,plain,
    ( ifeq(true,true,s2(a),true) != true
    | s2(a) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,s2(a),true),s2(a)) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    s2(a) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,s2(a),true),true) )],[refute_0_246,refute_0_249]) ).

cnf(refute_0_251,plain,
    ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true))]]) ).

cnf(refute_0_252,plain,
    ( ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true)
    | s2(a) != true
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_253,plain,
    ( s2(a) != true
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true)) )],[refute_0_251,refute_0_252]) ).

cnf(refute_0_254,plain,
    ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),
    inference(resolve,[$cnf( $equal(s2(a),true) )],[refute_0_250,refute_0_253]) ).

cnf(refute_0_255,plain,
    ( ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true)
    | ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true)
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true))),bind(Z,$fot(ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true)))]]) ).

cnf(refute_0_256,plain,
    ( ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true)
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true)) )],[refute_0_254,refute_0_255]) ).

cnf(refute_0_257,plain,
    ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true)) )],[refute_0_218,refute_0_256]) ).

cnf(refute_0_258,plain,
    ( ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true)
    | ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) != ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true))),bind(Z,$fot(ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)))]]) ).

cnf(refute_0_259,plain,
    ( ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true) != ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true)) )],[refute_0_257,refute_0_258]) ).

cnf(refute_0_260,plain,
    ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) = ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)) )],[refute_0_214,refute_0_259]) ).

cnf(refute_0_261,plain,
    ( ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)
    | ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != true
    | ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),true) ),[0],$fot(ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true))]]) ).

cnf(refute_0_262,plain,
    ( ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true) != true
    | ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true)) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X_1190,X_1192),true,s3(a,X_1192),true),true),true),true) )],[refute_0_213,refute_0_262]) ).

cnf(refute_0_264,plain,
    ifeq(m0(b,d,X_1194),true,s3(a,X_1194),true) = true,
    inference(subst,[],[refute_0_263:[bind(X_1190,$fot(d)),bind(X_1192,$fot(X_1194))]]) ).

cnf(refute_0_265,plain,
    m0(b,d,X_1194) = true,
    inference(subst,[],[axiom_19:[bind(X,$fot(b)),bind(Y,$fot(X_1194))]]) ).

cnf(refute_0_266,plain,
    ( ifeq(m0(b,d,X_1194),true,s3(a,X_1194),true) != true
    | m0(b,d,X_1194) != true
    | ifeq(true,true,s3(a,X_1194),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(m0(b,d,X_1194),true,s3(a,X_1194),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_267,plain,
    ( ifeq(m0(b,d,X_1194),true,s3(a,X_1194),true) != true
    | ifeq(true,true,s3(a,X_1194),true) = true ),
    inference(resolve,[$cnf( $equal(m0(b,d,X_1194),true) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    ifeq(true,true,s3(a,X_1194),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(m0(b,d,X_1194),true,s3(a,X_1194),true),true) )],[refute_0_264,refute_0_267]) ).

cnf(refute_0_269,plain,
    ifeq(true,true,s3(a,X_1194),true) = s3(a,X_1194),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s3(a,X_1194))),bind(C,$fot(true))]]) ).

cnf(refute_0_270,plain,
    ( ifeq(true,true,s3(a,X_1194),true) != s3(a,X_1194)
    | ifeq(true,true,s3(a,X_1194),true) != true
    | s3(a,X_1194) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,s3(a,X_1194),true),true) ),[0],$fot(s3(a,X_1194))]]) ).

cnf(refute_0_271,plain,
    ( ifeq(true,true,s3(a,X_1194),true) != true
    | s3(a,X_1194) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,s3(a,X_1194),true),s3(a,X_1194)) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    s3(a,X_1194) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,s3(a,X_1194),true),true) )],[refute_0_268,refute_0_271]) ).

cnf(refute_0_273,plain,
    s3(a,E) = true,
    inference(subst,[],[refute_0_272:[bind(X_1194,$fot(E))]]) ).

cnf(refute_0_274,plain,
    ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true),
    introduced(tautology,[refl,[$fot(ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true))]]) ).

cnf(refute_0_275,plain,
    ( ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) != ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true)
    | s3(a,E) != true
    | ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true),ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_276,plain,
    ( s3(a,E) != true
    | ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true),ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true)) )],[refute_0_274,refute_0_275]) ).

cnf(refute_0_277,plain,
    ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true),
    inference(resolve,[$cnf( $equal(s3(a,E),true) )],[refute_0_273,refute_0_276]) ).

cnf(refute_0_278,plain,
    ( ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) != ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true)
    | ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true) != ifeq(l2(G,F),true,m4(E,F),true)
    | ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = ifeq(l2(G,F),true,m4(E,F),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true))),bind(Z,$fot(ifeq(l2(G,F),true,m4(E,F),true)))]]) ).

cnf(refute_0_279,plain,
    ( ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true) != ifeq(l2(G,F),true,m4(E,F),true)
    | ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = ifeq(l2(G,F),true,m4(E,F),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true),ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true)) )],[refute_0_277,refute_0_278]) ).

cnf(refute_0_280,plain,
    ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = ifeq(l2(G,F),true,m4(E,F),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(l2(G,F),true,m4(E,F),true),true),ifeq(l2(G,F),true,m4(E,F),true)) )],[refute_0_69,refute_0_279]) ).

cnf(refute_0_281,plain,
    ( ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) != ifeq(l2(G,F),true,m4(E,F),true)
    | ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) != true
    | ifeq(l2(G,F),true,m4(E,F),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true),true) ),[0],$fot(ifeq(l2(G,F),true,m4(E,F),true))]]) ).

cnf(refute_0_282,plain,
    ( ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) != true
    | ifeq(l2(G,F),true,m4(E,F),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true),ifeq(l2(G,F),true,m4(E,F),true)) )],[refute_0_280,refute_0_281]) ).

cnf(refute_0_283,plain,
    ifeq(l2(G,F),true,m4(E,F),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true),true) )],[rule_279,refute_0_282]) ).

cnf(refute_0_284,plain,
    ifeq(l2(G,e),true,m4(E,e),true) = true,
    inference(subst,[],[refute_0_283:[bind(F,$fot(e))]]) ).

cnf(refute_0_285,plain,
    ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true) = ifeq(n0(e,E),true,l2(D,E),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(n0(e,E),true,l2(D,E),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_286,plain,
    ifeq(s1(X_331),true,ifeq(q0(X_329,d),true,s1(X_329),true),true) = true,
    inference(subst,[],[rule_126:[bind(F,$fot(X_329)),bind(G,$fot(d)),bind(H,$fot(X_331))]]) ).

cnf(refute_0_287,plain,
    q0(X_329,d) = true,
    inference(subst,[],[axiom_17:[bind(X,$fot(X_329))]]) ).

cnf(refute_0_288,plain,
    ( ifeq(s1(X_331),true,ifeq(q0(X_329,d),true,s1(X_329),true),true) != true
    | q0(X_329,d) != true
    | ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(X_331),true,ifeq(q0(X_329,d),true,s1(X_329),true),true),true) ),[0,2,0],$fot(true)]]) ).

cnf(refute_0_289,plain,
    ( ifeq(s1(X_331),true,ifeq(q0(X_329,d),true,s1(X_329),true),true) != true
    | ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) = true ),
    inference(resolve,[$cnf( $equal(q0(X_329,d),true) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(s1(X_331),true,ifeq(q0(X_329,d),true,s1(X_329),true),true),true) )],[refute_0_286,refute_0_289]) ).

cnf(refute_0_291,plain,
    ifeq(true,true,s1(X_329),true) = s1(X_329),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s1(X_329))),bind(C,$fot(true))]]) ).

cnf(refute_0_292,plain,
    ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) = ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true),
    introduced(tautology,[refl,[$fot(ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true))]]) ).

cnf(refute_0_293,plain,
    ( ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) != ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true)
    | ifeq(true,true,s1(X_329),true) != s1(X_329)
    | ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) = ifeq(s1(X_331),true,s1(X_329),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true),ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true)) ),[1,2],$fot(s1(X_329))]]) ).

cnf(refute_0_294,plain,
    ( ifeq(true,true,s1(X_329),true) != s1(X_329)
    | ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) = ifeq(s1(X_331),true,s1(X_329),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true),ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true)) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) = ifeq(s1(X_331),true,s1(X_329),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,s1(X_329),true),s1(X_329)) )],[refute_0_291,refute_0_294]) ).

cnf(refute_0_296,plain,
    ( ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) != ifeq(s1(X_331),true,s1(X_329),true)
    | ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) != true
    | ifeq(s1(X_331),true,s1(X_329),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true),true) ),[0],$fot(ifeq(s1(X_331),true,s1(X_329),true))]]) ).

cnf(refute_0_297,plain,
    ( ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true) != true
    | ifeq(s1(X_331),true,s1(X_329),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true),ifeq(s1(X_331),true,s1(X_329),true)) )],[refute_0_295,refute_0_296]) ).

cnf(refute_0_298,plain,
    ifeq(s1(X_331),true,s1(X_329),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(s1(X_331),true,ifeq(true,true,s1(X_329),true),true),true) )],[refute_0_290,refute_0_297]) ).

cnf(refute_0_299,plain,
    ifeq(s1(b),true,s1(X_332),true) = true,
    inference(subst,[],[refute_0_298:[bind(X_329,$fot(X_332)),bind(X_331,$fot(b))]]) ).

cnf(refute_0_300,plain,
    ( ifeq(s1(b),true,s1(X_332),true) != true
    | s1(b) != true
    | ifeq(true,true,s1(X_332),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(b),true,s1(X_332),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_301,plain,
    ( ifeq(s1(b),true,s1(X_332),true) != true
    | ifeq(true,true,s1(X_332),true) = true ),
    inference(resolve,[$cnf( $equal(s1(b),true) )],[refute_0_228,refute_0_300]) ).

cnf(refute_0_302,plain,
    ifeq(true,true,s1(X_332),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(s1(b),true,s1(X_332),true),true) )],[refute_0_299,refute_0_301]) ).

cnf(refute_0_303,plain,
    ifeq(true,true,s1(X_332),true) = s1(X_332),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s1(X_332))),bind(C,$fot(true))]]) ).

cnf(refute_0_304,plain,
    ( ifeq(true,true,s1(X_332),true) != s1(X_332)
    | ifeq(true,true,s1(X_332),true) != true
    | s1(X_332) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,s1(X_332),true),true) ),[0],$fot(s1(X_332))]]) ).

cnf(refute_0_305,plain,
    ( ifeq(true,true,s1(X_332),true) != true
    | s1(X_332) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,s1(X_332),true),s1(X_332)) )],[refute_0_303,refute_0_304]) ).

cnf(refute_0_306,plain,
    s1(X_332) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,s1(X_332),true),true) )],[refute_0_302,refute_0_305]) ).

cnf(refute_0_307,plain,
    s1(D) = true,
    inference(subst,[],[refute_0_306:[bind(X_332,$fot(D))]]) ).

cnf(refute_0_308,plain,
    ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) = ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),
    introduced(tautology,[refl,[$fot(ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true))]]) ).

cnf(refute_0_309,plain,
    ( ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) != ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true)
    | s1(D) != true
    | ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) = ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_310,plain,
    ( s1(D) != true
    | ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) = ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true)) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) = ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true),
    inference(resolve,[$cnf( $equal(s1(D),true) )],[refute_0_307,refute_0_310]) ).

cnf(refute_0_312,plain,
    ( ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) != ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true)
    | ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true) != ifeq(n0(e,E),true,l2(D,E),true)
    | ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) = ifeq(n0(e,E),true,l2(D,E),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true))),bind(Z,$fot(ifeq(n0(e,E),true,l2(D,E),true)))]]) ).

cnf(refute_0_313,plain,
    ( ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true) != ifeq(n0(e,E),true,l2(D,E),true)
    | ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) = ifeq(n0(e,E),true,l2(D,E),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true)) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) = ifeq(n0(e,E),true,l2(D,E),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(n0(e,E),true,l2(D,E),true),true),ifeq(n0(e,E),true,l2(D,E),true)) )],[refute_0_285,refute_0_313]) ).

cnf(refute_0_315,plain,
    ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) = ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true))]]) ).

cnf(refute_0_316,plain,
    ( ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) != ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true)
    | ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) != ifeq(n0(e,E),true,l2(D,E),true)
    | ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) = ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true),ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true)) ),[1,2],$fot(ifeq(n0(e,E),true,l2(D,E),true))]]) ).

cnf(refute_0_317,plain,
    ( ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true) != ifeq(n0(e,E),true,l2(D,E),true)
    | ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) = ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true),ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true)) )],[refute_0_315,refute_0_316]) ).

cnf(refute_0_318,plain,
    ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) = ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true),
    inference(resolve,[$cnf( $equal(ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),ifeq(n0(e,E),true,l2(D,E),true)) )],[refute_0_314,refute_0_317]) ).

cnf(refute_0_319,plain,
    ( ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) != ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true)
    | ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) != true
    | ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true),true) ),[0],$fot(ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true))]]) ).

cnf(refute_0_320,plain,
    ( ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true) != true
    | ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true),ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true)) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    ifeq(l2(E,E),true,ifeq(n0(e,E),true,l2(D,E),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(l2(E,E),true,ifeq(s1(D),true,ifeq(n0(e,E),true,l2(D,E),true),true),true),true) )],[rule_131,refute_0_320]) ).

cnf(refute_0_322,plain,
    ifeq(l2(e,e),true,ifeq(n0(e,e),true,l2(X_497,e),true),true) = true,
    inference(subst,[],[refute_0_321:[bind(D,$fot(X_497)),bind(E,$fot(e))]]) ).

cnf(refute_0_323,plain,
    ( ifeq(l2(e,e),true,ifeq(n0(e,e),true,l2(X_497,e),true),true) != true
    | n0(e,e) != true
    | ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(e,e),true,ifeq(n0(e,e),true,l2(X_497,e),true),true),true) ),[0,2,0],$fot(true)]]) ).

cnf(refute_0_324,plain,
    ( ifeq(l2(e,e),true,ifeq(n0(e,e),true,l2(X_497,e),true),true) != true
    | ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) = true ),
    inference(resolve,[$cnf( $equal(n0(e,e),true) )],[axiom_30,refute_0_323]) ).

cnf(refute_0_325,plain,
    ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(l2(e,e),true,ifeq(n0(e,e),true,l2(X_497,e),true),true),true) )],[refute_0_322,refute_0_324]) ).

cnf(refute_0_326,plain,
    ifeq(true,true,l2(X_497,e),true) = l2(X_497,e),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(l2(X_497,e))),bind(C,$fot(true))]]) ).

cnf(refute_0_327,plain,
    ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) = ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true),
    introduced(tautology,[refl,[$fot(ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true))]]) ).

cnf(refute_0_328,plain,
    ( ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) != ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true)
    | ifeq(true,true,l2(X_497,e),true) != l2(X_497,e)
    | ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) = ifeq(l2(e,e),true,l2(X_497,e),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true),ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true)) ),[1,2],$fot(l2(X_497,e))]]) ).

cnf(refute_0_329,plain,
    ( ifeq(true,true,l2(X_497,e),true) != l2(X_497,e)
    | ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) = ifeq(l2(e,e),true,l2(X_497,e),true) ),
    inference(resolve,[$cnf( $equal(ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true),ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true)) )],[refute_0_327,refute_0_328]) ).

cnf(refute_0_330,plain,
    ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) = ifeq(l2(e,e),true,l2(X_497,e),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,l2(X_497,e),true),l2(X_497,e)) )],[refute_0_326,refute_0_329]) ).

cnf(refute_0_331,plain,
    ( ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) != ifeq(l2(e,e),true,l2(X_497,e),true)
    | ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) != true
    | ifeq(l2(e,e),true,l2(X_497,e),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true),true) ),[0],$fot(ifeq(l2(e,e),true,l2(X_497,e),true))]]) ).

cnf(refute_0_332,plain,
    ( ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true) != true
    | ifeq(l2(e,e),true,l2(X_497,e),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true),ifeq(l2(e,e),true,l2(X_497,e),true)) )],[refute_0_330,refute_0_331]) ).

cnf(refute_0_333,plain,
    ifeq(l2(e,e),true,l2(X_497,e),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(l2(e,e),true,ifeq(true,true,l2(X_497,e),true),true),true) )],[refute_0_325,refute_0_332]) ).

cnf(refute_0_334,plain,
    ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true))),bind(C,$fot(true))]]) ).

cnf(refute_0_335,plain,
    s1(B) = true,
    inference(subst,[],[refute_0_306:[bind(X_332,$fot(B))]]) ).

cnf(refute_0_336,plain,
    ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),
    introduced(tautology,[refl,[$fot(ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true))]]) ).

cnf(refute_0_337,plain,
    ( ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) != ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true)
    | s1(B) != true
    | ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_338,plain,
    ( s1(B) != true
    | ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true)) )],[refute_0_336,refute_0_337]) ).

cnf(refute_0_339,plain,
    ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),
    inference(resolve,[$cnf( $equal(s1(B),true) )],[refute_0_335,refute_0_338]) ).

cnf(refute_0_340,plain,
    ( ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) != ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true)
    | ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) != ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true)
    | ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true))),bind(Z,$fot(ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true)))]]) ).

cnf(refute_0_341,plain,
    ( ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) != ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true)
    | ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true) ),
    inference(resolve,[$cnf( $equal(ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true)) )],[refute_0_339,refute_0_340]) ).

cnf(refute_0_342,plain,
    ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true)) )],[refute_0_334,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) != ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true)
    | ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) != true
    | ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),true) ),[0],$fot(ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true))]]) ).

cnf(refute_0_344,plain,
    ( ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) != true
    | ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true)) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true),true) )],[rule_133,refute_0_344]) ).

cnf(refute_0_346,plain,
    ifeq(p0(X_1225,X_1225),true,ifeq(m0(X_1227,d,X_1228),true,l2(X_1228,X_1228),true),true) = true,
    inference(subst,[],[refute_0_345:[bind(A,$fot(X_1225)),bind(B,$fot(d)),bind(C,$fot(X_1227)),bind(J,$fot(X_1228))]]) ).

cnf(refute_0_347,plain,
    m0(X_1227,d,X_1228) = true,
    inference(subst,[],[axiom_19:[bind(X,$fot(X_1227)),bind(Y,$fot(X_1228))]]) ).

cnf(refute_0_348,plain,
    ( ifeq(p0(X_1225,X_1225),true,ifeq(m0(X_1227,d,X_1228),true,l2(X_1228,X_1228),true),true) != true
    | m0(X_1227,d,X_1228) != true
    | ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(X_1225,X_1225),true,ifeq(m0(X_1227,d,X_1228),true,l2(X_1228,X_1228),true),true),true) ),[0,2,0],$fot(true)]]) ).

cnf(refute_0_349,plain,
    ( ifeq(p0(X_1225,X_1225),true,ifeq(m0(X_1227,d,X_1228),true,l2(X_1228,X_1228),true),true) != true
    | ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) = true ),
    inference(resolve,[$cnf( $equal(m0(X_1227,d,X_1228),true) )],[refute_0_347,refute_0_348]) ).

cnf(refute_0_350,plain,
    ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(p0(X_1225,X_1225),true,ifeq(m0(X_1227,d,X_1228),true,l2(X_1228,X_1228),true),true),true) )],[refute_0_346,refute_0_349]) ).

cnf(refute_0_351,plain,
    ifeq(true,true,l2(X_1228,X_1228),true) = l2(X_1228,X_1228),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(l2(X_1228,X_1228))),bind(C,$fot(true))]]) ).

cnf(refute_0_352,plain,
    ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) = ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true),
    introduced(tautology,[refl,[$fot(ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true))]]) ).

cnf(refute_0_353,plain,
    ( ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) != ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true)
    | ifeq(true,true,l2(X_1228,X_1228),true) != l2(X_1228,X_1228)
    | ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) = ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true),ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true)) ),[1,2],$fot(l2(X_1228,X_1228))]]) ).

cnf(refute_0_354,plain,
    ( ifeq(true,true,l2(X_1228,X_1228),true) != l2(X_1228,X_1228)
    | ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) = ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true) ),
    inference(resolve,[$cnf( $equal(ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true),ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true)) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) = ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true),
    inference(resolve,[$cnf( $equal(ifeq(true,true,l2(X_1228,X_1228),true),l2(X_1228,X_1228)) )],[refute_0_351,refute_0_354]) ).

cnf(refute_0_356,plain,
    ( ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) != ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true)
    | ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) != true
    | ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true),true) ),[0],$fot(ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true))]]) ).

cnf(refute_0_357,plain,
    ( ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true) != true
    | ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true) = true ),
    inference(resolve,[$cnf( $equal(ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true),ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true)) )],[refute_0_355,refute_0_356]) ).

cnf(refute_0_358,plain,
    ifeq(p0(X_1225,X_1225),true,l2(X_1228,X_1228),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(p0(X_1225,X_1225),true,ifeq(true,true,l2(X_1228,X_1228),true),true),true) )],[refute_0_350,refute_0_357]) ).

cnf(refute_0_359,plain,
    ifeq(p0(b,b),true,l2(X_1230,X_1230),true) = true,
    inference(subst,[],[refute_0_358:[bind(X_1225,$fot(b)),bind(X_1228,$fot(X_1230))]]) ).

cnf(refute_0_360,plain,
    ( ifeq(p0(b,b),true,l2(X_1230,X_1230),true) != true
    | p0(b,b) != true
    | ifeq(true,true,l2(X_1230,X_1230),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(b,b),true,l2(X_1230,X_1230),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_361,plain,
    ( ifeq(p0(b,b),true,l2(X_1230,X_1230),true) != true
    | ifeq(true,true,l2(X_1230,X_1230),true) = true ),
    inference(resolve,[$cnf( $equal(p0(b,b),true) )],[refute_0_221,refute_0_360]) ).

cnf(refute_0_362,plain,
    ifeq(true,true,l2(X_1230,X_1230),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(p0(b,b),true,l2(X_1230,X_1230),true),true) )],[refute_0_359,refute_0_361]) ).

cnf(refute_0_363,plain,
    ifeq(true,true,l2(X_1230,X_1230),true) = l2(X_1230,X_1230),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(l2(X_1230,X_1230))),bind(C,$fot(true))]]) ).

cnf(refute_0_364,plain,
    ( ifeq(true,true,l2(X_1230,X_1230),true) != l2(X_1230,X_1230)
    | ifeq(true,true,l2(X_1230,X_1230),true) != true
    | l2(X_1230,X_1230) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,l2(X_1230,X_1230),true),true) ),[0],$fot(l2(X_1230,X_1230))]]) ).

cnf(refute_0_365,plain,
    ( ifeq(true,true,l2(X_1230,X_1230),true) != true
    | l2(X_1230,X_1230) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,l2(X_1230,X_1230),true),l2(X_1230,X_1230)) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    l2(X_1230,X_1230) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,l2(X_1230,X_1230),true),true) )],[refute_0_362,refute_0_365]) ).

cnf(refute_0_367,plain,
    l2(e,e) = true,
    inference(subst,[],[refute_0_366:[bind(X_1230,$fot(e))]]) ).

cnf(refute_0_368,plain,
    ifeq(l2(e,e),true,l2(X_497,e),true) = ifeq(l2(e,e),true,l2(X_497,e),true),
    introduced(tautology,[refl,[$fot(ifeq(l2(e,e),true,l2(X_497,e),true))]]) ).

cnf(refute_0_369,plain,
    ( ifeq(l2(e,e),true,l2(X_497,e),true) != ifeq(l2(e,e),true,l2(X_497,e),true)
    | l2(e,e) != true
    | ifeq(l2(e,e),true,l2(X_497,e),true) = ifeq(true,true,l2(X_497,e),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(e,e),true,l2(X_497,e),true),ifeq(l2(e,e),true,l2(X_497,e),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_370,plain,
    ( l2(e,e) != true
    | ifeq(l2(e,e),true,l2(X_497,e),true) = ifeq(true,true,l2(X_497,e),true) ),
    inference(resolve,[$cnf( $equal(ifeq(l2(e,e),true,l2(X_497,e),true),ifeq(l2(e,e),true,l2(X_497,e),true)) )],[refute_0_368,refute_0_369]) ).

cnf(refute_0_371,plain,
    ifeq(l2(e,e),true,l2(X_497,e),true) = ifeq(true,true,l2(X_497,e),true),
    inference(resolve,[$cnf( $equal(l2(e,e),true) )],[refute_0_367,refute_0_370]) ).

cnf(refute_0_372,plain,
    ( ifeq(l2(e,e),true,l2(X_497,e),true) != ifeq(true,true,l2(X_497,e),true)
    | ifeq(true,true,l2(X_497,e),true) != l2(X_497,e)
    | ifeq(l2(e,e),true,l2(X_497,e),true) = l2(X_497,e) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(l2(e,e),true,l2(X_497,e),true))),bind(Y0,$fot(ifeq(true,true,l2(X_497,e),true))),bind(Z,$fot(l2(X_497,e)))]]) ).

cnf(refute_0_373,plain,
    ( ifeq(true,true,l2(X_497,e),true) != l2(X_497,e)
    | ifeq(l2(e,e),true,l2(X_497,e),true) = l2(X_497,e) ),
    inference(resolve,[$cnf( $equal(ifeq(l2(e,e),true,l2(X_497,e),true),ifeq(true,true,l2(X_497,e),true)) )],[refute_0_371,refute_0_372]) ).

cnf(refute_0_374,plain,
    ifeq(l2(e,e),true,l2(X_497,e),true) = l2(X_497,e),
    inference(resolve,[$cnf( $equal(ifeq(true,true,l2(X_497,e),true),l2(X_497,e)) )],[refute_0_326,refute_0_373]) ).

cnf(refute_0_375,plain,
    ( ifeq(l2(e,e),true,l2(X_497,e),true) != l2(X_497,e)
    | ifeq(l2(e,e),true,l2(X_497,e),true) != true
    | l2(X_497,e) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(e,e),true,l2(X_497,e),true),true) ),[0],$fot(l2(X_497,e))]]) ).

cnf(refute_0_376,plain,
    ( ifeq(l2(e,e),true,l2(X_497,e),true) != true
    | l2(X_497,e) = true ),
    inference(resolve,[$cnf( $equal(ifeq(l2(e,e),true,l2(X_497,e),true),l2(X_497,e)) )],[refute_0_374,refute_0_375]) ).

cnf(refute_0_377,plain,
    l2(X_497,e) = true,
    inference(resolve,[$cnf( $equal(ifeq(l2(e,e),true,l2(X_497,e),true),true) )],[refute_0_333,refute_0_376]) ).

cnf(refute_0_378,plain,
    l2(G,e) = true,
    inference(subst,[],[refute_0_377:[bind(X_497,$fot(G))]]) ).

cnf(refute_0_379,plain,
    ( ifeq(l2(G,e),true,m4(E,e),true) != true
    | l2(G,e) != true
    | ifeq(true,true,m4(E,e),true) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(G,e),true,m4(E,e),true),true) ),[0,0],$fot(true)]]) ).

cnf(refute_0_380,plain,
    ( ifeq(l2(G,e),true,m4(E,e),true) != true
    | ifeq(true,true,m4(E,e),true) = true ),
    inference(resolve,[$cnf( $equal(l2(G,e),true) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    ifeq(true,true,m4(E,e),true) = true,
    inference(resolve,[$cnf( $equal(ifeq(l2(G,e),true,m4(E,e),true),true) )],[refute_0_284,refute_0_380]) ).

cnf(refute_0_382,plain,
    ifeq(true,true,m4(E,e),true) = m4(E,e),
    inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(m4(E,e))),bind(C,$fot(true))]]) ).

cnf(refute_0_383,plain,
    ( ifeq(true,true,m4(E,e),true) != m4(E,e)
    | ifeq(true,true,m4(E,e),true) != true
    | m4(E,e) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,m4(E,e),true),true) ),[0],$fot(m4(E,e))]]) ).

cnf(refute_0_384,plain,
    ( ifeq(true,true,m4(E,e),true) != true
    | m4(E,e) = true ),
    inference(resolve,[$cnf( $equal(ifeq(true,true,m4(E,e),true),m4(E,e)) )],[refute_0_382,refute_0_383]) ).

cnf(refute_0_385,plain,
    m4(E,e) = true,
    inference(resolve,[$cnf( $equal(ifeq(true,true,m4(E,e),true),true) )],[refute_0_381,refute_0_384]) ).

cnf(refute_0_386,plain,
    m4(e,e) = true,
    inference(subst,[],[refute_0_385:[bind(E,$fot(e))]]) ).

cnf(refute_0_387,plain,
    ifeq(m4(e,e),true,m5(d,d),true) = ifeq(m4(e,e),true,m5(d,d),true),
    introduced(tautology,[refl,[$fot(ifeq(m4(e,e),true,m5(d,d),true))]]) ).

cnf(refute_0_388,plain,
    ( ifeq(m4(e,e),true,m5(d,d),true) != ifeq(m4(e,e),true,m5(d,d),true)
    | m4(e,e) != true
    | ifeq(m4(e,e),true,m5(d,d),true) = ifeq(true,true,m5(d,d),true) ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(m4(e,e),true,m5(d,d),true),ifeq(m4(e,e),true,m5(d,d),true)) ),[1,0],$fot(true)]]) ).

cnf(refute_0_389,plain,
    ( m4(e,e) != true
    | ifeq(m4(e,e),true,m5(d,d),true) = ifeq(true,true,m5(d,d),true) ),
    inference(resolve,[$cnf( $equal(ifeq(m4(e,e),true,m5(d,d),true),ifeq(m4(e,e),true,m5(d,d),true)) )],[refute_0_387,refute_0_388]) ).

cnf(refute_0_390,plain,
    ifeq(m4(e,e),true,m5(d,d),true) = ifeq(true,true,m5(d,d),true),
    inference(resolve,[$cnf( $equal(m4(e,e),true) )],[refute_0_386,refute_0_389]) ).

cnf(refute_0_391,plain,
    ( ifeq(m4(e,e),true,m5(d,d),true) != ifeq(true,true,m5(d,d),true)
    | ifeq(true,true,m5(d,d),true) != m5(d,d)
    | ifeq(m4(e,e),true,m5(d,d),true) = m5(d,d) ),
    inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(m4(e,e),true,m5(d,d),true))),bind(Y0,$fot(ifeq(true,true,m5(d,d),true))),bind(Z,$fot(m5(d,d)))]]) ).

cnf(refute_0_392,plain,
    ( ifeq(true,true,m5(d,d),true) != m5(d,d)
    | ifeq(m4(e,e),true,m5(d,d),true) = m5(d,d) ),
    inference(resolve,[$cnf( $equal(ifeq(m4(e,e),true,m5(d,d),true),ifeq(true,true,m5(d,d),true)) )],[refute_0_390,refute_0_391]) ).

cnf(refute_0_393,plain,
    ifeq(m4(e,e),true,m5(d,d),true) = m5(d,d),
    inference(resolve,[$cnf( $equal(ifeq(true,true,m5(d,d),true),m5(d,d)) )],[refute_0_68,refute_0_392]) ).

cnf(refute_0_394,plain,
    ( ifeq(m4(e,e),true,m5(d,d),true) != m5(d,d)
    | ifeq(m4(e,e),true,m5(d,d),true) != true
    | m5(d,d) = true ),
    introduced(tautology,[equality,[$cnf( $equal(ifeq(m4(e,e),true,m5(d,d),true),true) ),[0],$fot(m5(d,d))]]) ).

cnf(refute_0_395,plain,
    ( ifeq(m4(e,e),true,m5(d,d),true) != true
    | m5(d,d) = true ),
    inference(resolve,[$cnf( $equal(ifeq(m4(e,e),true,m5(d,d),true),m5(d,d)) )],[refute_0_393,refute_0_394]) ).

cnf(refute_0_396,plain,
    m5(d,d) = true,
    inference(resolve,[$cnf( $equal(ifeq(m4(e,e),true,m5(d,d),true),true) )],[refute_0_67,refute_0_395]) ).

cnf(refute_0_397,plain,
    $false,
    inference(resolve,[$cnf( $equal(m5(d,d),true) )],[refute_0_396,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN143-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 02:29:08 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.77/1.94  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.77/1.94  
% 1.77/1.94  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.77/1.98  
%------------------------------------------------------------------------------