TSTP Solution File: SYN214-10 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN214-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 09:00:29 EDT 2022
% Result : Unsatisfiable 1.31s 1.48s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 126
% Syntax : Number of clauses : 374 ( 198 unt; 0 nHn; 216 RR)
% Number of literals : 639 ( 638 equ; 267 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 6 con; 0-4 aty)
% Number of variables : 409 ( 76 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq(A,A,B,C) = B ).
cnf(axiom_1,axiom,
s0(d) = true ).
cnf(axiom_3,axiom,
n0(d,e) = 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_31,axiom,
m0(b,b,e) = true ).
cnf(rule_001,axiom,
ifeq(n0(J,I),true,k1(I),true) = true ).
cnf(rule_015,axiom,
ifeq(l0(D),true,ifeq(m0(C,C,B),true,m1(B,C,C),true),true) = true ).
cnf(rule_085,axiom,
ifeq(p0(C,B),true,p1(B,B,B),true) = true ).
cnf(rule_110,axiom,
ifeq(m0(C,D,B),true,q1(B,B,B),true) = true ).
cnf(rule_124,axiom,
ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),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_134,axiom,
ifeq(m1(I,H,H),true,ifeq(p0(H,G),true,ifeq(m0(H,G,I),true,l2(G,G),true),true),true) = true ).
cnf(rule_137,axiom,
ifeq(p1(B,C,A),true,n2(A),true) = true ).
cnf(rule_174,axiom,
ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) = true ).
cnf(rule_188,axiom,
ifeq(r1(G),true,ifeq(l0(G),true,r2(G),true),true) = true ).
cnf(rule_240,axiom,
ifeq(p2(E,F,D),true,n3(D),true) = true ).
cnf(rule_244,axiom,
ifeq(n2(H),true,p3(H,H,H),true) = true ).
cnf(rule_258,axiom,
ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) = true ).
cnf(rule_277,axiom,
ifeq(p3(A,B,J),true,l4(J),true) = true ).
cnf(rule_298,axiom,
ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) = true ).
cnf(rule_329,axiom,
ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) = true ).
cnf(prove_this,negated_conjecture,
s5(c) != true ).
cnf(refute_0_0,plain,
ifeq(true,true,s5(H),true) = s5(H),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s5(H))),bind(C,$fot(true))]]) ).
cnf(refute_0_1,plain,
ifeq(p3(X_229,X_229,X_229),true,l4(X_229),true) = true,
inference(subst,[],[rule_277:[bind(A,$fot(X_229)),bind(B,$fot(X_229)),bind(J,$fot(X_229))]]) ).
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,$fot(true))]]) ).
cnf(refute_0_3,plain,
ifeq(p1(X_205,X_205,X_205),true,n2(X_205),true) = true,
inference(subst,[],[rule_137:[bind(A,$fot(X_205)),bind(B,$fot(X_205)),bind(C,$fot(X_205))]]) ).
cnf(refute_0_4,plain,
ifeq(p0(b,X_104),true,p1(X_104,X_104,X_104),true) = true,
inference(subst,[],[rule_085:[bind(B,$fot(X_104)),bind(C,$fot(b))]]) ).
cnf(refute_0_5,plain,
p0(b,X_104) = true,
inference(subst,[],[axiom_14:[bind(X,$fot(X_104))]]) ).
cnf(refute_0_6,plain,
( ifeq(p0(b,X_104),true,p1(X_104,X_104,X_104),true) != true
| p0(b,X_104) != true
| ifeq(true,true,p1(X_104,X_104,X_104),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(b,X_104),true,p1(X_104,X_104,X_104),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_7,plain,
( ifeq(p0(b,X_104),true,p1(X_104,X_104,X_104),true) != true
| ifeq(true,true,p1(X_104,X_104,X_104),true) = true ),
inference(resolve,[$cnf( $equal(p0(b,X_104),true) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
ifeq(true,true,p1(X_104,X_104,X_104),true) = true,
inference(resolve,[$cnf( $equal(ifeq(p0(b,X_104),true,p1(X_104,X_104,X_104),true),true) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
ifeq(true,true,p1(X_104,X_104,X_104),true) = p1(X_104,X_104,X_104),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(p1(X_104,X_104,X_104))),bind(C,$fot(true))]]) ).
cnf(refute_0_10,plain,
( ifeq(true,true,p1(X_104,X_104,X_104),true) != p1(X_104,X_104,X_104)
| ifeq(true,true,p1(X_104,X_104,X_104),true) != true
| p1(X_104,X_104,X_104) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,p1(X_104,X_104,X_104),true),true) ),[0],$fot(p1(X_104,X_104,X_104))]]) ).
cnf(refute_0_11,plain,
( ifeq(true,true,p1(X_104,X_104,X_104),true) != true
| p1(X_104,X_104,X_104) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,p1(X_104,X_104,X_104),true),p1(X_104,X_104,X_104)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
p1(X_104,X_104,X_104) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,p1(X_104,X_104,X_104),true),true) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
p1(X_205,X_205,X_205) = true,
inference(subst,[],[refute_0_12:[bind(X_104,$fot(X_205))]]) ).
cnf(refute_0_14,plain,
( ifeq(p1(X_205,X_205,X_205),true,n2(X_205),true) != true
| p1(X_205,X_205,X_205) != true
| ifeq(true,true,n2(X_205),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(p1(X_205,X_205,X_205),true,n2(X_205),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_15,plain,
( ifeq(p1(X_205,X_205,X_205),true,n2(X_205),true) != true
| ifeq(true,true,n2(X_205),true) = true ),
inference(resolve,[$cnf( $equal(p1(X_205,X_205,X_205),true) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
ifeq(true,true,n2(X_205),true) = true,
inference(resolve,[$cnf( $equal(ifeq(p1(X_205,X_205,X_205),true,n2(X_205),true),true) )],[refute_0_3,refute_0_15]) ).
cnf(refute_0_17,plain,
ifeq(true,true,n2(X_205),true) = n2(X_205),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(n2(X_205))),bind(C,$fot(true))]]) ).
cnf(refute_0_18,plain,
( ifeq(true,true,n2(X_205),true) != n2(X_205)
| ifeq(true,true,n2(X_205),true) != true
| n2(X_205) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,n2(X_205),true),true) ),[0],$fot(n2(X_205))]]) ).
cnf(refute_0_19,plain,
( ifeq(true,true,n2(X_205),true) != true
| n2(X_205) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,n2(X_205),true),n2(X_205)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
n2(X_205) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,n2(X_205),true),true) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
n2(H) = true,
inference(subst,[],[refute_0_20:[bind(X_205,$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( $equal(ifeq(n2(H),true,p3(H,H,H),true),true) )],[rule_244,refute_0_35]) ).
cnf(refute_0_37,plain,
p3(X_229,X_229,X_229) = true,
inference(subst,[],[refute_0_36:[bind(H,$fot(X_229))]]) ).
cnf(refute_0_38,plain,
( ifeq(p3(X_229,X_229,X_229),true,l4(X_229),true) != true
| p3(X_229,X_229,X_229) != true
| ifeq(true,true,l4(X_229),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(p3(X_229,X_229,X_229),true,l4(X_229),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_39,plain,
( ifeq(p3(X_229,X_229,X_229),true,l4(X_229),true) != true
| ifeq(true,true,l4(X_229),true) = true ),
inference(resolve,[$cnf( $equal(p3(X_229,X_229,X_229),true) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
ifeq(true,true,l4(X_229),true) = true,
inference(resolve,[$cnf( $equal(ifeq(p3(X_229,X_229,X_229),true,l4(X_229),true),true) )],[refute_0_1,refute_0_39]) ).
cnf(refute_0_41,plain,
ifeq(true,true,l4(X_229),true) = l4(X_229),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(l4(X_229))),bind(C,$fot(true))]]) ).
cnf(refute_0_42,plain,
( ifeq(true,true,l4(X_229),true) != l4(X_229)
| ifeq(true,true,l4(X_229),true) != true
| l4(X_229) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,l4(X_229),true),true) ),[0],$fot(l4(X_229))]]) ).
cnf(refute_0_43,plain,
( ifeq(true,true,l4(X_229),true) != true
| l4(X_229) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,l4(X_229),true),l4(X_229)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
l4(X_229) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,l4(X_229),true),true) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
l4(H) = true,
inference(subst,[],[refute_0_44:[bind(X_229,$fot(H))]]) ).
cnf(refute_0_46,plain,
ifeq(l4(H),true,s5(H),true) = ifeq(l4(H),true,s5(H),true),
introduced(tautology,[refl,[$fot(ifeq(l4(H),true,s5(H),true))]]) ).
cnf(refute_0_47,plain,
( ifeq(l4(H),true,s5(H),true) != ifeq(l4(H),true,s5(H),true)
| l4(H) != true
| ifeq(l4(H),true,s5(H),true) = ifeq(true,true,s5(H),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(l4(H),true,s5(H),true),ifeq(l4(H),true,s5(H),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_48,plain,
( l4(H) != true
| ifeq(l4(H),true,s5(H),true) = ifeq(true,true,s5(H),true) ),
inference(resolve,[$cnf( $equal(ifeq(l4(H),true,s5(H),true),ifeq(l4(H),true,s5(H),true)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
ifeq(l4(H),true,s5(H),true) = ifeq(true,true,s5(H),true),
inference(resolve,[$cnf( $equal(l4(H),true) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
( ifeq(l4(H),true,s5(H),true) != ifeq(true,true,s5(H),true)
| ifeq(true,true,s5(H),true) != s5(H)
| ifeq(l4(H),true,s5(H),true) = s5(H) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(l4(H),true,s5(H),true))),bind(Y0,$fot(ifeq(true,true,s5(H),true))),bind(Z,$fot(s5(H)))]]) ).
cnf(refute_0_51,plain,
( ifeq(true,true,s5(H),true) != s5(H)
| ifeq(l4(H),true,s5(H),true) = s5(H) ),
inference(resolve,[$cnf( $equal(ifeq(l4(H),true,s5(H),true),ifeq(true,true,s5(H),true)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
ifeq(l4(H),true,s5(H),true) = s5(H),
inference(resolve,[$cnf( $equal(ifeq(true,true,s5(H),true),s5(H)) )],[refute_0_0,refute_0_51]) ).
cnf(refute_0_53,plain,
ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) = ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true),
introduced(tautology,[refl,[$fot(ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true))]]) ).
cnf(refute_0_54,plain,
( ifeq(l4(H),true,s5(H),true) != s5(H)
| ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) != ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true)
| ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) = ifeq(r4(I),true,s5(H),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true),ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true)) ),[1,2],$fot(s5(H))]]) ).
cnf(refute_0_55,plain,
( ifeq(l4(H),true,s5(H),true) != s5(H)
| ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) = ifeq(r4(I),true,s5(H),true) ),
inference(resolve,[$cnf( $equal(ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true),ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) = ifeq(r4(I),true,s5(H),true),
inference(resolve,[$cnf( $equal(ifeq(l4(H),true,s5(H),true),s5(H)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) != ifeq(r4(I),true,s5(H),true)
| ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) != true
| ifeq(r4(I),true,s5(H),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true),true) ),[0],$fot(ifeq(r4(I),true,s5(H),true))]]) ).
cnf(refute_0_58,plain,
( ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) != true
| ifeq(r4(I),true,s5(H),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true),ifeq(r4(I),true,s5(H),true)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
ifeq(r4(I),true,s5(H),true) = true,
inference(resolve,[$cnf( $equal(ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true),true) )],[rule_329,refute_0_58]) ).
cnf(refute_0_60,plain,
ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true) = ifeq(p0(J,G),true,r4(G),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(p0(J,G),true,r4(G),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_61,plain,
ifeq(p2(X_220,X_220,X_220),true,n3(X_220),true) = true,
inference(subst,[],[rule_240:[bind(D,$fot(X_220)),bind(E,$fot(X_220)),bind(F,$fot(X_220))]]) ).
cnf(refute_0_62,plain,
ifeq(true,true,p2(H,H,H),true) = p2(H,H,H),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(p2(H,H,H))),bind(C,$fot(true))]]) ).
cnf(refute_0_63,plain,
ifeq(n0(d,e),true,k1(e),true) = true,
inference(subst,[],[rule_001:[bind(I,$fot(e)),bind(J,$fot(d))]]) ).
cnf(refute_0_64,plain,
( ifeq(n0(d,e),true,k1(e),true) != true
| n0(d,e) != true
| ifeq(true,true,k1(e),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(n0(d,e),true,k1(e),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_65,plain,
( ifeq(n0(d,e),true,k1(e),true) != true
| ifeq(true,true,k1(e),true) = true ),
inference(resolve,[$cnf( $equal(n0(d,e),true) )],[axiom_3,refute_0_64]) ).
cnf(refute_0_66,plain,
ifeq(true,true,k1(e),true) = true,
inference(resolve,[$cnf( $equal(ifeq(n0(d,e),true,k1(e),true),true) )],[refute_0_63,refute_0_65]) ).
cnf(refute_0_67,plain,
ifeq(true,true,k1(e),true) = k1(e),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(k1(e))),bind(C,$fot(true))]]) ).
cnf(refute_0_68,plain,
( ifeq(true,true,k1(e),true) != k1(e)
| ifeq(true,true,k1(e),true) != true
| k1(e) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,k1(e),true),true) ),[0],$fot(k1(e))]]) ).
cnf(refute_0_69,plain,
( ifeq(true,true,k1(e),true) != true
| k1(e) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,k1(e),true),k1(e)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
k1(e) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,k1(e),true),true) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
ifeq(k1(e),true,p2(H,H,H),true) = ifeq(k1(e),true,p2(H,H,H),true),
introduced(tautology,[refl,[$fot(ifeq(k1(e),true,p2(H,H,H),true))]]) ).
cnf(refute_0_72,plain,
( ifeq(k1(e),true,p2(H,H,H),true) != ifeq(k1(e),true,p2(H,H,H),true)
| k1(e) != true
| ifeq(k1(e),true,p2(H,H,H),true) = ifeq(true,true,p2(H,H,H),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(k1(e),true,p2(H,H,H),true),ifeq(k1(e),true,p2(H,H,H),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_73,plain,
( k1(e) != true
| ifeq(k1(e),true,p2(H,H,H),true) = ifeq(true,true,p2(H,H,H),true) ),
inference(resolve,[$cnf( $equal(ifeq(k1(e),true,p2(H,H,H),true),ifeq(k1(e),true,p2(H,H,H),true)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
ifeq(k1(e),true,p2(H,H,H),true) = ifeq(true,true,p2(H,H,H),true),
inference(resolve,[$cnf( $equal(k1(e),true) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( ifeq(k1(e),true,p2(H,H,H),true) != ifeq(true,true,p2(H,H,H),true)
| ifeq(true,true,p2(H,H,H),true) != p2(H,H,H)
| ifeq(k1(e),true,p2(H,H,H),true) = p2(H,H,H) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(k1(e),true,p2(H,H,H),true))),bind(Y0,$fot(ifeq(true,true,p2(H,H,H),true))),bind(Z,$fot(p2(H,H,H)))]]) ).
cnf(refute_0_76,plain,
( ifeq(true,true,p2(H,H,H),true) != p2(H,H,H)
| ifeq(k1(e),true,p2(H,H,H),true) = p2(H,H,H) ),
inference(resolve,[$cnf( $equal(ifeq(k1(e),true,p2(H,H,H),true),ifeq(true,true,p2(H,H,H),true)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
ifeq(k1(e),true,p2(H,H,H),true) = p2(H,H,H),
inference(resolve,[$cnf( $equal(ifeq(true,true,p2(H,H,H),true),p2(H,H,H)) )],[refute_0_62,refute_0_76]) ).
cnf(refute_0_78,plain,
ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) = ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true),
introduced(tautology,[refl,[$fot(ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true))]]) ).
cnf(refute_0_79,plain,
( ifeq(k1(e),true,p2(H,H,H),true) != p2(H,H,H)
| ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) != ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true)
| ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) = ifeq(n2(H),true,p2(H,H,H),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true),ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true)) ),[1,2],$fot(p2(H,H,H))]]) ).
cnf(refute_0_80,plain,
( ifeq(k1(e),true,p2(H,H,H),true) != p2(H,H,H)
| ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) = ifeq(n2(H),true,p2(H,H,H),true) ),
inference(resolve,[$cnf( $equal(ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true),ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) = ifeq(n2(H),true,p2(H,H,H),true),
inference(resolve,[$cnf( $equal(ifeq(k1(e),true,p2(H,H,H),true),p2(H,H,H)) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
( ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) != ifeq(n2(H),true,p2(H,H,H),true)
| ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) != true
| ifeq(n2(H),true,p2(H,H,H),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true),true) ),[0],$fot(ifeq(n2(H),true,p2(H,H,H),true))]]) ).
cnf(refute_0_83,plain,
( ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true) != true
| ifeq(n2(H),true,p2(H,H,H),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true),ifeq(n2(H),true,p2(H,H,H),true)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
ifeq(n2(H),true,p2(H,H,H),true) = true,
inference(resolve,[$cnf( $equal(ifeq(n2(H),true,ifeq(k1(e),true,p2(H,H,H),true),true),true) )],[rule_174,refute_0_83]) ).
cnf(refute_0_85,plain,
ifeq(n2(H),true,p2(H,H,H),true) = ifeq(n2(H),true,p2(H,H,H),true),
introduced(tautology,[refl,[$fot(ifeq(n2(H),true,p2(H,H,H),true))]]) ).
cnf(refute_0_86,plain,
( ifeq(n2(H),true,p2(H,H,H),true) != ifeq(n2(H),true,p2(H,H,H),true)
| n2(H) != true
| ifeq(n2(H),true,p2(H,H,H),true) = ifeq(true,true,p2(H,H,H),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(n2(H),true,p2(H,H,H),true),ifeq(n2(H),true,p2(H,H,H),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_87,plain,
( n2(H) != true
| ifeq(n2(H),true,p2(H,H,H),true) = ifeq(true,true,p2(H,H,H),true) ),
inference(resolve,[$cnf( $equal(ifeq(n2(H),true,p2(H,H,H),true),ifeq(n2(H),true,p2(H,H,H),true)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
ifeq(n2(H),true,p2(H,H,H),true) = ifeq(true,true,p2(H,H,H),true),
inference(resolve,[$cnf( $equal(n2(H),true) )],[refute_0_21,refute_0_87]) ).
cnf(refute_0_89,plain,
( ifeq(n2(H),true,p2(H,H,H),true) != ifeq(true,true,p2(H,H,H),true)
| ifeq(true,true,p2(H,H,H),true) != p2(H,H,H)
| ifeq(n2(H),true,p2(H,H,H),true) = p2(H,H,H) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(n2(H),true,p2(H,H,H),true))),bind(Y0,$fot(ifeq(true,true,p2(H,H,H),true))),bind(Z,$fot(p2(H,H,H)))]]) ).
cnf(refute_0_90,plain,
( ifeq(true,true,p2(H,H,H),true) != p2(H,H,H)
| ifeq(n2(H),true,p2(H,H,H),true) = p2(H,H,H) ),
inference(resolve,[$cnf( $equal(ifeq(n2(H),true,p2(H,H,H),true),ifeq(true,true,p2(H,H,H),true)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
ifeq(n2(H),true,p2(H,H,H),true) = p2(H,H,H),
inference(resolve,[$cnf( $equal(ifeq(true,true,p2(H,H,H),true),p2(H,H,H)) )],[refute_0_62,refute_0_90]) ).
cnf(refute_0_92,plain,
( ifeq(n2(H),true,p2(H,H,H),true) != p2(H,H,H)
| ifeq(n2(H),true,p2(H,H,H),true) != true
| p2(H,H,H) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(n2(H),true,p2(H,H,H),true),true) ),[0],$fot(p2(H,H,H))]]) ).
cnf(refute_0_93,plain,
( ifeq(n2(H),true,p2(H,H,H),true) != true
| p2(H,H,H) = true ),
inference(resolve,[$cnf( $equal(ifeq(n2(H),true,p2(H,H,H),true),p2(H,H,H)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
p2(H,H,H) = true,
inference(resolve,[$cnf( $equal(ifeq(n2(H),true,p2(H,H,H),true),true) )],[refute_0_84,refute_0_93]) ).
cnf(refute_0_95,plain,
p2(X_220,X_220,X_220) = true,
inference(subst,[],[refute_0_94:[bind(H,$fot(X_220))]]) ).
cnf(refute_0_96,plain,
( ifeq(p2(X_220,X_220,X_220),true,n3(X_220),true) != true
| p2(X_220,X_220,X_220) != true
| ifeq(true,true,n3(X_220),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(p2(X_220,X_220,X_220),true,n3(X_220),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_97,plain,
( ifeq(p2(X_220,X_220,X_220),true,n3(X_220),true) != true
| ifeq(true,true,n3(X_220),true) = true ),
inference(resolve,[$cnf( $equal(p2(X_220,X_220,X_220),true) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
ifeq(true,true,n3(X_220),true) = true,
inference(resolve,[$cnf( $equal(ifeq(p2(X_220,X_220,X_220),true,n3(X_220),true),true) )],[refute_0_61,refute_0_97]) ).
cnf(refute_0_99,plain,
ifeq(true,true,n3(X_220),true) = n3(X_220),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(n3(X_220))),bind(C,$fot(true))]]) ).
cnf(refute_0_100,plain,
( ifeq(true,true,n3(X_220),true) != n3(X_220)
| ifeq(true,true,n3(X_220),true) != true
| n3(X_220) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,n3(X_220),true),true) ),[0],$fot(n3(X_220))]]) ).
cnf(refute_0_101,plain,
( ifeq(true,true,n3(X_220),true) != true
| n3(X_220) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,n3(X_220),true),n3(X_220)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
n3(X_220) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,n3(X_220),true),true) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
n3(G) = true,
inference(subst,[],[refute_0_102:[bind(X_220,$fot(G))]]) ).
cnf(refute_0_104,plain,
ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) = ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),
introduced(tautology,[refl,[$fot(ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true))]]) ).
cnf(refute_0_105,plain,
( ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) != ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true)
| n3(G) != true
| ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) = ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_106,plain,
( n3(G) != true
| ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) = ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true) ),
inference(resolve,[$cnf( $equal(ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) = ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true),
inference(resolve,[$cnf( $equal(n3(G),true) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
( ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) != ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true)
| ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true) != ifeq(p0(J,G),true,r4(G),true)
| ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) = ifeq(p0(J,G),true,r4(G),true) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true))),bind(Z,$fot(ifeq(p0(J,G),true,r4(G),true)))]]) ).
cnf(refute_0_109,plain,
( ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true) != ifeq(p0(J,G),true,r4(G),true)
| ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) = ifeq(p0(J,G),true,r4(G),true) ),
inference(resolve,[$cnf( $equal(ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) = ifeq(p0(J,G),true,r4(G),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(p0(J,G),true,r4(G),true),true),ifeq(p0(J,G),true,r4(G),true)) )],[refute_0_60,refute_0_109]) ).
cnf(refute_0_111,plain,
ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) = ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true),
introduced(tautology,[refl,[$fot(ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true))]]) ).
cnf(refute_0_112,plain,
( ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) != ifeq(p0(J,G),true,r4(G),true)
| ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) != ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true)
| ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) = ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true),ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true)) ),[1,2],$fot(ifeq(p0(J,G),true,r4(G),true))]]) ).
cnf(refute_0_113,plain,
( ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true) != ifeq(p0(J,G),true,r4(G),true)
| ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) = ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true) ),
inference(resolve,[$cnf( $equal(ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true),ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) = ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true),
inference(resolve,[$cnf( $equal(ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),ifeq(p0(J,G),true,r4(G),true)) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
( ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) != ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true)
| ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) != true
| ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true),true) ),[0],$fot(ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true))]]) ).
cnf(refute_0_116,plain,
( ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) != true
| ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true),ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
ifeq(q3(H,I),true,ifeq(p0(J,G),true,r4(G),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true),true) )],[rule_298,refute_0_116]) ).
cnf(refute_0_118,plain,
ifeq(q3(a,a),true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) = true,
inference(subst,[],[refute_0_117:[bind(G,$fot(X_814)),bind(H,$fot(a)),bind(I,$fot(a)),bind(J,$fot(X_817))]]) ).
cnf(refute_0_119,plain,
ifeq(true,true,q3(I,I),true) = q3(I,I),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(q3(I,I))),bind(C,$fot(true))]]) ).
cnf(refute_0_120,plain,
ifeq(s1(X_313),true,ifeq(q0(X_311,d),true,s1(X_311),true),true) = true,
inference(subst,[],[rule_126:[bind(F,$fot(X_311)),bind(G,$fot(d)),bind(H,$fot(X_313))]]) ).
cnf(refute_0_121,plain,
q0(X_311,d) = true,
inference(subst,[],[axiom_17:[bind(X,$fot(X_311))]]) ).
cnf(refute_0_122,plain,
( ifeq(s1(X_313),true,ifeq(q0(X_311,d),true,s1(X_311),true),true) != true
| q0(X_311,d) != true
| ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(X_313),true,ifeq(q0(X_311,d),true,s1(X_311),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_123,plain,
( ifeq(s1(X_313),true,ifeq(q0(X_311,d),true,s1(X_311),true),true) != true
| ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) = true ),
inference(resolve,[$cnf( $equal(q0(X_311,d),true) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(s1(X_313),true,ifeq(q0(X_311,d),true,s1(X_311),true),true),true) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
ifeq(true,true,s1(X_311),true) = s1(X_311),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s1(X_311))),bind(C,$fot(true))]]) ).
cnf(refute_0_126,plain,
ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) = ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true),
introduced(tautology,[refl,[$fot(ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true))]]) ).
cnf(refute_0_127,plain,
( ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) != ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true)
| ifeq(true,true,s1(X_311),true) != s1(X_311)
| ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) = ifeq(s1(X_313),true,s1(X_311),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true),ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true)) ),[1,2],$fot(s1(X_311))]]) ).
cnf(refute_0_128,plain,
( ifeq(true,true,s1(X_311),true) != s1(X_311)
| ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) = ifeq(s1(X_313),true,s1(X_311),true) ),
inference(resolve,[$cnf( $equal(ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true),ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) = ifeq(s1(X_313),true,s1(X_311),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,s1(X_311),true),s1(X_311)) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
( ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) != ifeq(s1(X_313),true,s1(X_311),true)
| ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) != true
| ifeq(s1(X_313),true,s1(X_311),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true),true) ),[0],$fot(ifeq(s1(X_313),true,s1(X_311),true))]]) ).
cnf(refute_0_131,plain,
( ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true) != true
| ifeq(s1(X_313),true,s1(X_311),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true),ifeq(s1(X_313),true,s1(X_311),true)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
ifeq(s1(X_313),true,s1(X_311),true) = true,
inference(resolve,[$cnf( $equal(ifeq(s1(X_313),true,ifeq(true,true,s1(X_311),true),true),true) )],[refute_0_124,refute_0_131]) ).
cnf(refute_0_133,plain,
ifeq(s1(b),true,s1(X_314),true) = true,
inference(subst,[],[refute_0_132:[bind(X_311,$fot(X_314)),bind(X_313,$fot(b))]]) ).
cnf(refute_0_134,plain,
ifeq(p0(b,b),true,s1(b),true) = true,
inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).
cnf(refute_0_135,plain,
p0(b,b) = true,
inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).
cnf(refute_0_136,plain,
( ifeq(p0(b,b),true,s1(b),true) != true
| p0(b,b) != true
| ifeq(true,true,s1(b),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(b,b),true,s1(b),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_137,plain,
( ifeq(p0(b,b),true,s1(b),true) != true
| ifeq(true,true,s1(b),true) = true ),
inference(resolve,[$cnf( $equal(p0(b,b),true) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
ifeq(true,true,s1(b),true) = true,
inference(resolve,[$cnf( $equal(ifeq(p0(b,b),true,s1(b),true),true) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
ifeq(true,true,s1(b),true) = s1(b),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s1(b))),bind(C,$fot(true))]]) ).
cnf(refute_0_140,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_141,plain,
( ifeq(true,true,s1(b),true) != true
| s1(b) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,s1(b),true),s1(b)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
s1(b) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,s1(b),true),true) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( ifeq(s1(b),true,s1(X_314),true) != true
| s1(b) != true
| ifeq(true,true,s1(X_314),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(b),true,s1(X_314),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_144,plain,
( ifeq(s1(b),true,s1(X_314),true) != true
| ifeq(true,true,s1(X_314),true) = true ),
inference(resolve,[$cnf( $equal(s1(b),true) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
ifeq(true,true,s1(X_314),true) = true,
inference(resolve,[$cnf( $equal(ifeq(s1(b),true,s1(X_314),true),true) )],[refute_0_133,refute_0_144]) ).
cnf(refute_0_146,plain,
ifeq(true,true,s1(X_314),true) = s1(X_314),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(s1(X_314))),bind(C,$fot(true))]]) ).
cnf(refute_0_147,plain,
( ifeq(true,true,s1(X_314),true) != s1(X_314)
| ifeq(true,true,s1(X_314),true) != true
| s1(X_314) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,s1(X_314),true),true) ),[0],$fot(s1(X_314))]]) ).
cnf(refute_0_148,plain,
( ifeq(true,true,s1(X_314),true) != true
| s1(X_314) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,s1(X_314),true),s1(X_314)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
s1(X_314) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,s1(X_314),true),true) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
s1(J) = true,
inference(subst,[],[refute_0_149:[bind(X_314,$fot(J))]]) ).
cnf(refute_0_151,plain,
ifeq(s1(J),true,q3(I,I),true) = ifeq(s1(J),true,q3(I,I),true),
introduced(tautology,[refl,[$fot(ifeq(s1(J),true,q3(I,I),true))]]) ).
cnf(refute_0_152,plain,
( ifeq(s1(J),true,q3(I,I),true) != ifeq(s1(J),true,q3(I,I),true)
| s1(J) != true
| ifeq(s1(J),true,q3(I,I),true) = ifeq(true,true,q3(I,I),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(s1(J),true,q3(I,I),true),ifeq(s1(J),true,q3(I,I),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_153,plain,
( s1(J) != true
| ifeq(s1(J),true,q3(I,I),true) = ifeq(true,true,q3(I,I),true) ),
inference(resolve,[$cnf( $equal(ifeq(s1(J),true,q3(I,I),true),ifeq(s1(J),true,q3(I,I),true)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
ifeq(s1(J),true,q3(I,I),true) = ifeq(true,true,q3(I,I),true),
inference(resolve,[$cnf( $equal(s1(J),true) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
( ifeq(s1(J),true,q3(I,I),true) != ifeq(true,true,q3(I,I),true)
| ifeq(true,true,q3(I,I),true) != q3(I,I)
| ifeq(s1(J),true,q3(I,I),true) = q3(I,I) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s1(J),true,q3(I,I),true))),bind(Y0,$fot(ifeq(true,true,q3(I,I),true))),bind(Z,$fot(q3(I,I)))]]) ).
cnf(refute_0_156,plain,
( ifeq(true,true,q3(I,I),true) != q3(I,I)
| ifeq(s1(J),true,q3(I,I),true) = q3(I,I) ),
inference(resolve,[$cnf( $equal(ifeq(s1(J),true,q3(I,I),true),ifeq(true,true,q3(I,I),true)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
ifeq(s1(J),true,q3(I,I),true) = q3(I,I),
inference(resolve,[$cnf( $equal(ifeq(true,true,q3(I,I),true),q3(I,I)) )],[refute_0_119,refute_0_156]) ).
cnf(refute_0_158,plain,
ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true) = ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),
introduced(tautology,[refl,[$fot(ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true))]]) ).
cnf(refute_0_159,plain,
( ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true) != ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true)
| ifeq(s1(J),true,q3(I,I),true) != q3(I,I)
| ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true) = ifeq(l2(A,A),true,q3(I,I),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true)) ),[1,2],$fot(q3(I,I))]]) ).
cnf(refute_0_160,plain,
( ifeq(s1(J),true,q3(I,I),true) != q3(I,I)
| ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true) = ifeq(l2(A,A),true,q3(I,I),true) ),
inference(resolve,[$cnf( $equal(ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true) = ifeq(l2(A,A),true,q3(I,I),true),
inference(resolve,[$cnf( $equal(ifeq(s1(J),true,q3(I,I),true),q3(I,I)) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) = ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true),
introduced(tautology,[refl,[$fot(ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true))]]) ).
cnf(refute_0_163,plain,
( ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true) != ifeq(l2(A,A),true,q3(I,I),true)
| ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) != ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true)
| ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) = ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true),ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true)) ),[1,2],$fot(ifeq(l2(A,A),true,q3(I,I),true))]]) ).
cnf(refute_0_164,plain,
( ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true) != ifeq(l2(A,A),true,q3(I,I),true)
| ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) = ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true) ),
inference(resolve,[$cnf( $equal(ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true),ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) = ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true),
inference(resolve,[$cnf( $equal(ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),ifeq(l2(A,A),true,q3(I,I),true)) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) != ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true)
| ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) != true
| ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true),true) ),[0],$fot(ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true))]]) ).
cnf(refute_0_167,plain,
( ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true) != true
| ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true),ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
ifeq(r2(I),true,ifeq(l2(A,A),true,q3(I,I),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),true),true),true),true) )],[rule_258,refute_0_167]) ).
cnf(refute_0_169,plain,
ifeq(r2(a),true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) = true,
inference(subst,[],[refute_0_168:[bind(A,$fot(X_557)),bind(I,$fot(a))]]) ).
cnf(refute_0_170,plain,
ifeq(r1(a),true,ifeq(l0(a),true,r2(a),true),true) = true,
inference(subst,[],[rule_188:[bind(G,$fot(a))]]) ).
cnf(refute_0_171,plain,
( ifeq(r1(a),true,ifeq(l0(a),true,r2(a),true),true) != true
| l0(a) != true
| ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r1(a),true,ifeq(l0(a),true,r2(a),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_172,plain,
( ifeq(r1(a),true,ifeq(l0(a),true,r2(a),true),true) != true
| ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) = true ),
inference(resolve,[$cnf( $equal(l0(a),true) )],[axiom_20,refute_0_171]) ).
cnf(refute_0_173,plain,
ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(r1(a),true,ifeq(l0(a),true,r2(a),true),true),true) )],[refute_0_170,refute_0_172]) ).
cnf(refute_0_174,plain,
ifeq(true,true,r2(a),true) = r2(a),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(r2(a))),bind(C,$fot(true))]]) ).
cnf(refute_0_175,plain,
ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) = ifeq(r1(a),true,ifeq(true,true,r2(a),true),true),
introduced(tautology,[refl,[$fot(ifeq(r1(a),true,ifeq(true,true,r2(a),true),true))]]) ).
cnf(refute_0_176,plain,
( ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) != ifeq(r1(a),true,ifeq(true,true,r2(a),true),true)
| ifeq(true,true,r2(a),true) != r2(a)
| ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) = ifeq(r1(a),true,r2(a),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r1(a),true,ifeq(true,true,r2(a),true),true),ifeq(r1(a),true,ifeq(true,true,r2(a),true),true)) ),[1,2],$fot(r2(a))]]) ).
cnf(refute_0_177,plain,
( ifeq(true,true,r2(a),true) != r2(a)
| ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) = ifeq(r1(a),true,r2(a),true) ),
inference(resolve,[$cnf( $equal(ifeq(r1(a),true,ifeq(true,true,r2(a),true),true),ifeq(r1(a),true,ifeq(true,true,r2(a),true),true)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) = ifeq(r1(a),true,r2(a),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,r2(a),true),r2(a)) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
( ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) != ifeq(r1(a),true,r2(a),true)
| ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) != true
| ifeq(r1(a),true,r2(a),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r1(a),true,ifeq(true,true,r2(a),true),true),true) ),[0],$fot(ifeq(r1(a),true,r2(a),true))]]) ).
cnf(refute_0_180,plain,
( ifeq(r1(a),true,ifeq(true,true,r2(a),true),true) != true
| ifeq(r1(a),true,r2(a),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(r1(a),true,ifeq(true,true,r2(a),true),true),ifeq(r1(a),true,r2(a),true)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
ifeq(r1(a),true,r2(a),true) = true,
inference(resolve,[$cnf( $equal(ifeq(r1(a),true,ifeq(true,true,r2(a),true),true),true) )],[refute_0_173,refute_0_180]) ).
cnf(refute_0_182,plain,
ifeq(true,true,r1(D),true) = r1(D),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(r1(D))),bind(C,$fot(true))]]) ).
cnf(refute_0_183,plain,
ifeq(s0(d),true,r1(D),true) = ifeq(s0(d),true,r1(D),true),
introduced(tautology,[refl,[$fot(ifeq(s0(d),true,r1(D),true))]]) ).
cnf(refute_0_184,plain,
( ifeq(s0(d),true,r1(D),true) != ifeq(s0(d),true,r1(D),true)
| s0(d) != true
| ifeq(s0(d),true,r1(D),true) = ifeq(true,true,r1(D),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(s0(d),true,r1(D),true),ifeq(s0(d),true,r1(D),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_185,plain,
( s0(d) != true
| ifeq(s0(d),true,r1(D),true) = ifeq(true,true,r1(D),true) ),
inference(resolve,[$cnf( $equal(ifeq(s0(d),true,r1(D),true),ifeq(s0(d),true,r1(D),true)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
ifeq(s0(d),true,r1(D),true) = ifeq(true,true,r1(D),true),
inference(resolve,[$cnf( $equal(s0(d),true) )],[axiom_1,refute_0_185]) ).
cnf(refute_0_187,plain,
( ifeq(s0(d),true,r1(D),true) != ifeq(true,true,r1(D),true)
| ifeq(true,true,r1(D),true) != r1(D)
| ifeq(s0(d),true,r1(D),true) = r1(D) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(s0(d),true,r1(D),true))),bind(Y0,$fot(ifeq(true,true,r1(D),true))),bind(Z,$fot(r1(D)))]]) ).
cnf(refute_0_188,plain,
( ifeq(true,true,r1(D),true) != r1(D)
| ifeq(s0(d),true,r1(D),true) = r1(D) ),
inference(resolve,[$cnf( $equal(ifeq(s0(d),true,r1(D),true),ifeq(true,true,r1(D),true)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
ifeq(s0(d),true,r1(D),true) = r1(D),
inference(resolve,[$cnf( $equal(ifeq(true,true,r1(D),true),r1(D)) )],[refute_0_182,refute_0_188]) ).
cnf(refute_0_190,plain,
ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true) = ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),
introduced(tautology,[refl,[$fot(ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true))]]) ).
cnf(refute_0_191,plain,
( ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true) != ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true)
| ifeq(s0(d),true,r1(D),true) != r1(D)
| ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true) = ifeq(q0(D,E),true,r1(D),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true)) ),[1,2],$fot(r1(D))]]) ).
cnf(refute_0_192,plain,
( ifeq(s0(d),true,r1(D),true) != r1(D)
| ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true) = ifeq(q0(D,E),true,r1(D),true) ),
inference(resolve,[$cnf( $equal(ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true) = ifeq(q0(D,E),true,r1(D),true),
inference(resolve,[$cnf( $equal(ifeq(s0(d),true,r1(D),true),r1(D)) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true) = ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true),
introduced(tautology,[refl,[$fot(ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true))]]) ).
cnf(refute_0_195,plain,
( ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true) != ifeq(q0(D,E),true,r1(D),true)
| ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true) != ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true)
| ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true) = ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true),ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true)) ),[1,2],$fot(ifeq(q0(D,E),true,r1(D),true))]]) ).
cnf(refute_0_196,plain,
( ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true) != ifeq(q0(D,E),true,r1(D),true)
| ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true) = ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true) ),
inference(resolve,[$cnf( $equal(ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true),ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true) = ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true),
inference(resolve,[$cnf( $equal(ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),ifeq(q0(D,E),true,r1(D),true)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
( ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true) != ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true)
| ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true) != true
| ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true),true) ),[0],$fot(ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true))]]) ).
cnf(refute_0_199,plain,
( ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true) != true
| ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true),ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,r1(D),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),true),true) )],[rule_124,refute_0_199]) ).
cnf(refute_0_201,plain,
ifeq(q1(d,d,d),true,ifeq(q0(X_356,d),true,r1(X_356),true),true) = true,
inference(subst,[],[refute_0_200:[bind(D,$fot(X_356)),bind(E,$fot(d))]]) ).
cnf(refute_0_202,plain,
q0(X_356,d) = true,
inference(subst,[],[axiom_17:[bind(X,$fot(X_356))]]) ).
cnf(refute_0_203,plain,
( ifeq(q1(d,d,d),true,ifeq(q0(X_356,d),true,r1(X_356),true),true) != true
| q0(X_356,d) != true
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(q0(X_356,d),true,r1(X_356),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_204,plain,
( ifeq(q1(d,d,d),true,ifeq(q0(X_356,d),true,r1(X_356),true),true) != true
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = true ),
inference(resolve,[$cnf( $equal(q0(X_356,d),true) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(q0(X_356,d),true,r1(X_356),true),true),true) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
ifeq(true,true,r1(X_356),true) = r1(X_356),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(r1(X_356))),bind(C,$fot(true))]]) ).
cnf(refute_0_207,plain,
ifeq(true,true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,ifeq(true,true,r1(X_356),true),true),
introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(true,true,r1(X_356),true),true))]]) ).
cnf(refute_0_208,plain,
( ifeq(true,true,ifeq(true,true,r1(X_356),true),true) != ifeq(true,true,ifeq(true,true,r1(X_356),true),true)
| ifeq(true,true,r1(X_356),true) != r1(X_356)
| ifeq(true,true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,r1(X_356),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(true,true,r1(X_356),true),true),ifeq(true,true,ifeq(true,true,r1(X_356),true),true)) ),[1,2],$fot(r1(X_356))]]) ).
cnf(refute_0_209,plain,
( ifeq(true,true,r1(X_356),true) != r1(X_356)
| ifeq(true,true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,r1(X_356),true) ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,r1(X_356),true),true),ifeq(true,true,ifeq(true,true,r1(X_356),true),true)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
ifeq(true,true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,r1(X_356),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,r1(X_356),true),r1(X_356)) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
ifeq(m0(X_286,d,X_285),true,q1(X_285,X_285,X_285),true) = true,
inference(subst,[],[rule_110:[bind(B,$fot(X_285)),bind(C,$fot(X_286)),bind(D,$fot(d))]]) ).
cnf(refute_0_212,plain,
m0(X_286,d,X_285) = true,
inference(subst,[],[axiom_19:[bind(X,$fot(X_286)),bind(Y,$fot(X_285))]]) ).
cnf(refute_0_213,plain,
( ifeq(m0(X_286,d,X_285),true,q1(X_285,X_285,X_285),true) != true
| m0(X_286,d,X_285) != true
| ifeq(true,true,q1(X_285,X_285,X_285),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(m0(X_286,d,X_285),true,q1(X_285,X_285,X_285),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_214,plain,
( ifeq(m0(X_286,d,X_285),true,q1(X_285,X_285,X_285),true) != true
| ifeq(true,true,q1(X_285,X_285,X_285),true) = true ),
inference(resolve,[$cnf( $equal(m0(X_286,d,X_285),true) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
ifeq(true,true,q1(X_285,X_285,X_285),true) = true,
inference(resolve,[$cnf( $equal(ifeq(m0(X_286,d,X_285),true,q1(X_285,X_285,X_285),true),true) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
ifeq(true,true,q1(X_285,X_285,X_285),true) = q1(X_285,X_285,X_285),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(q1(X_285,X_285,X_285))),bind(C,$fot(true))]]) ).
cnf(refute_0_217,plain,
( ifeq(true,true,q1(X_285,X_285,X_285),true) != q1(X_285,X_285,X_285)
| ifeq(true,true,q1(X_285,X_285,X_285),true) != true
| q1(X_285,X_285,X_285) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,q1(X_285,X_285,X_285),true),true) ),[0],$fot(q1(X_285,X_285,X_285))]]) ).
cnf(refute_0_218,plain,
( ifeq(true,true,q1(X_285,X_285,X_285),true) != true
| q1(X_285,X_285,X_285) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,q1(X_285,X_285,X_285),true),q1(X_285,X_285,X_285)) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
q1(X_285,X_285,X_285) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,q1(X_285,X_285,X_285),true),true) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
q1(d,d,d) = true,
inference(subst,[],[refute_0_219:[bind(X_285,$fot(d))]]) ).
cnf(refute_0_221,plain,
ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true),
introduced(tautology,[refl,[$fot(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true))]]) ).
cnf(refute_0_222,plain,
( ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) != ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true)
| q1(d,d,d) != true
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,ifeq(true,true,r1(X_356),true),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true),ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_223,plain,
( q1(d,d,d) != true
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,ifeq(true,true,r1(X_356),true),true) ),
inference(resolve,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true),ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,ifeq(true,true,r1(X_356),true),true),
inference(resolve,[$cnf( $equal(q1(d,d,d),true) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
( ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) != ifeq(true,true,ifeq(true,true,r1(X_356),true),true)
| ifeq(true,true,ifeq(true,true,r1(X_356),true),true) != ifeq(true,true,r1(X_356),true)
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,r1(X_356),true) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(true,true,r1(X_356),true),true))),bind(Z,$fot(ifeq(true,true,r1(X_356),true)))]]) ).
cnf(refute_0_226,plain,
( ifeq(true,true,ifeq(true,true,r1(X_356),true),true) != ifeq(true,true,r1(X_356),true)
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,r1(X_356),true) ),
inference(resolve,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true),ifeq(true,true,ifeq(true,true,r1(X_356),true),true)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = ifeq(true,true,r1(X_356),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,r1(X_356),true),true),ifeq(true,true,r1(X_356),true)) )],[refute_0_210,refute_0_226]) ).
cnf(refute_0_228,plain,
( ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) != ifeq(true,true,r1(X_356),true)
| ifeq(true,true,r1(X_356),true) != r1(X_356)
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = r1(X_356) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true))),bind(Y0,$fot(ifeq(true,true,r1(X_356),true))),bind(Z,$fot(r1(X_356)))]]) ).
cnf(refute_0_229,plain,
( ifeq(true,true,r1(X_356),true) != r1(X_356)
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = r1(X_356) ),
inference(resolve,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true),ifeq(true,true,r1(X_356),true)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) = r1(X_356),
inference(resolve,[$cnf( $equal(ifeq(true,true,r1(X_356),true),r1(X_356)) )],[refute_0_206,refute_0_229]) ).
cnf(refute_0_231,plain,
( ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) != r1(X_356)
| ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) != true
| r1(X_356) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true),true) ),[0],$fot(r1(X_356))]]) ).
cnf(refute_0_232,plain,
( ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true) != true
| r1(X_356) = true ),
inference(resolve,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true),r1(X_356)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
r1(X_356) = true,
inference(resolve,[$cnf( $equal(ifeq(q1(d,d,d),true,ifeq(true,true,r1(X_356),true),true),true) )],[refute_0_205,refute_0_232]) ).
cnf(refute_0_234,plain,
r1(a) = true,
inference(subst,[],[refute_0_233:[bind(X_356,$fot(a))]]) ).
cnf(refute_0_235,plain,
ifeq(r1(a),true,r2(a),true) = ifeq(r1(a),true,r2(a),true),
introduced(tautology,[refl,[$fot(ifeq(r1(a),true,r2(a),true))]]) ).
cnf(refute_0_236,plain,
( ifeq(r1(a),true,r2(a),true) != ifeq(r1(a),true,r2(a),true)
| r1(a) != true
| ifeq(r1(a),true,r2(a),true) = ifeq(true,true,r2(a),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r1(a),true,r2(a),true),ifeq(r1(a),true,r2(a),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_237,plain,
( r1(a) != true
| ifeq(r1(a),true,r2(a),true) = ifeq(true,true,r2(a),true) ),
inference(resolve,[$cnf( $equal(ifeq(r1(a),true,r2(a),true),ifeq(r1(a),true,r2(a),true)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
ifeq(r1(a),true,r2(a),true) = ifeq(true,true,r2(a),true),
inference(resolve,[$cnf( $equal(r1(a),true) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
( ifeq(r1(a),true,r2(a),true) != ifeq(true,true,r2(a),true)
| ifeq(true,true,r2(a),true) != r2(a)
| ifeq(r1(a),true,r2(a),true) = r2(a) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(r1(a),true,r2(a),true))),bind(Y0,$fot(ifeq(true,true,r2(a),true))),bind(Z,$fot(r2(a)))]]) ).
cnf(refute_0_240,plain,
( ifeq(true,true,r2(a),true) != r2(a)
| ifeq(r1(a),true,r2(a),true) = r2(a) ),
inference(resolve,[$cnf( $equal(ifeq(r1(a),true,r2(a),true),ifeq(true,true,r2(a),true)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
ifeq(r1(a),true,r2(a),true) = r2(a),
inference(resolve,[$cnf( $equal(ifeq(true,true,r2(a),true),r2(a)) )],[refute_0_174,refute_0_240]) ).
cnf(refute_0_242,plain,
( ifeq(r1(a),true,r2(a),true) != r2(a)
| ifeq(r1(a),true,r2(a),true) != true
| r2(a) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r1(a),true,r2(a),true),true) ),[0],$fot(r2(a))]]) ).
cnf(refute_0_243,plain,
( ifeq(r1(a),true,r2(a),true) != true
| r2(a) = true ),
inference(resolve,[$cnf( $equal(ifeq(r1(a),true,r2(a),true),r2(a)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
r2(a) = true,
inference(resolve,[$cnf( $equal(ifeq(r1(a),true,r2(a),true),true) )],[refute_0_181,refute_0_243]) ).
cnf(refute_0_245,plain,
( ifeq(r2(a),true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) != true
| r2(a) != true
| ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r2(a),true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_246,plain,
( ifeq(r2(a),true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) != true
| ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) = true ),
inference(resolve,[$cnf( $equal(r2(a),true) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(r2(a),true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true),true) )],[refute_0_169,refute_0_246]) ).
cnf(refute_0_248,plain,
ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) = ifeq(l2(X_557,X_557),true,q3(a,a),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(l2(X_557,X_557),true,q3(a,a),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_249,plain,
( ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) != ifeq(l2(X_557,X_557),true,q3(a,a),true)
| ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) != true
| ifeq(l2(X_557,X_557),true,q3(a,a),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true),true) ),[0],$fot(ifeq(l2(X_557,X_557),true,q3(a,a),true))]]) ).
cnf(refute_0_250,plain,
( ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true) != true
| ifeq(l2(X_557,X_557),true,q3(a,a),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true),ifeq(l2(X_557,X_557),true,q3(a,a),true)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
ifeq(l2(X_557,X_557),true,q3(a,a),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(l2(X_557,X_557),true,q3(a,a),true),true),true) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
ifeq(l2(b,b),true,q3(a,a),true) = true,
inference(subst,[],[refute_0_251:[bind(X_557,$fot(b))]]) ).
cnf(refute_0_253,plain,
ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(m0(b,b,e),true,l2(b,b),true),true),true) = true,
inference(subst,[],[rule_134:[bind(G,$fot(b)),bind(H,$fot(b)),bind(I,$fot(e))]]) ).
cnf(refute_0_254,plain,
( ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(m0(b,b,e),true,l2(b,b),true),true),true) != true
| m0(b,b,e) != true
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(m0(b,b,e),true,l2(b,b),true),true),true),true) ),[0,2,2,0],$fot(true)]]) ).
cnf(refute_0_255,plain,
( ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(m0(b,b,e),true,l2(b,b),true),true),true) != true
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = true ),
inference(resolve,[$cnf( $equal(m0(b,b,e),true) )],[axiom_31,refute_0_254]) ).
cnf(refute_0_256,plain,
ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(m0(b,b,e),true,l2(b,b),true),true),true),true) )],[refute_0_253,refute_0_255]) ).
cnf(refute_0_257,plain,
ifeq(true,true,l2(b,b),true) = l2(b,b),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(l2(b,b))),bind(C,$fot(true))]]) ).
cnf(refute_0_258,plain,
ifeq(true,true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,ifeq(true,true,l2(b,b),true),true),
introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(true,true,l2(b,b),true),true))]]) ).
cnf(refute_0_259,plain,
( ifeq(true,true,ifeq(true,true,l2(b,b),true),true) != ifeq(true,true,ifeq(true,true,l2(b,b),true),true)
| ifeq(true,true,l2(b,b),true) != l2(b,b)
| ifeq(true,true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,l2(b,b),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(true,true,l2(b,b),true),true),ifeq(true,true,ifeq(true,true,l2(b,b),true),true)) ),[1,2],$fot(l2(b,b))]]) ).
cnf(refute_0_260,plain,
( ifeq(true,true,l2(b,b),true) != l2(b,b)
| ifeq(true,true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,l2(b,b),true) ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,l2(b,b),true),true),ifeq(true,true,ifeq(true,true,l2(b,b),true),true)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
ifeq(true,true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,l2(b,b),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,l2(b,b),true),l2(b,b)) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),
introduced(tautology,[refl,[$fot(ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true))]]) ).
cnf(refute_0_263,plain,
( ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) != ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true)
| p0(b,b) != true
| ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,ifeq(true,true,l2(b,b),true),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_264,plain,
( p0(b,b) != true
| ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,ifeq(true,true,l2(b,b),true),true) ),
inference(resolve,[$cnf( $equal(ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,ifeq(true,true,l2(b,b),true),true),
inference(resolve,[$cnf( $equal(p0(b,b),true) )],[refute_0_135,refute_0_264]) ).
cnf(refute_0_266,plain,
( ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) != ifeq(true,true,ifeq(true,true,l2(b,b),true),true)
| ifeq(true,true,ifeq(true,true,l2(b,b),true),true) != ifeq(true,true,l2(b,b),true)
| ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,l2(b,b),true) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(true,true,l2(b,b),true),true))),bind(Z,$fot(ifeq(true,true,l2(b,b),true)))]]) ).
cnf(refute_0_267,plain,
( ifeq(true,true,ifeq(true,true,l2(b,b),true),true) != ifeq(true,true,l2(b,b),true)
| ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,l2(b,b),true) ),
inference(resolve,[$cnf( $equal(ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),ifeq(true,true,ifeq(true,true,l2(b,b),true),true)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = ifeq(true,true,l2(b,b),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(true,true,l2(b,b),true),true),ifeq(true,true,l2(b,b),true)) )],[refute_0_261,refute_0_267]) ).
cnf(refute_0_269,plain,
( ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) != ifeq(true,true,l2(b,b),true)
| ifeq(true,true,l2(b,b),true) != l2(b,b)
| ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = l2(b,b) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true))),bind(Y0,$fot(ifeq(true,true,l2(b,b),true))),bind(Z,$fot(l2(b,b)))]]) ).
cnf(refute_0_270,plain,
( ifeq(true,true,l2(b,b),true) != l2(b,b)
| ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = l2(b,b) ),
inference(resolve,[$cnf( $equal(ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),ifeq(true,true,l2(b,b),true)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) = l2(b,b),
inference(resolve,[$cnf( $equal(ifeq(true,true,l2(b,b),true),l2(b,b)) )],[refute_0_257,refute_0_270]) ).
cnf(refute_0_272,plain,
ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),
introduced(tautology,[refl,[$fot(ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true))]]) ).
cnf(refute_0_273,plain,
( ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) != l2(b,b)
| ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true)
| ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,l2(b,b),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true)) ),[1,2],$fot(l2(b,b))]]) ).
cnf(refute_0_274,plain,
( ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true) != l2(b,b)
| ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,l2(b,b),true) ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,l2(b,b),true),
inference(resolve,[$cnf( $equal(ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),l2(b,b)) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
ifeq(l0(X_443),true,ifeq(m0(b,b,e),true,m1(e,b,b),true),true) = true,
inference(subst,[],[rule_015:[bind(B,$fot(e)),bind(C,$fot(b)),bind(D,$fot(X_443))]]) ).
cnf(refute_0_277,plain,
( ifeq(l0(X_443),true,ifeq(m0(b,b,e),true,m1(e,b,b),true),true) != true
| m0(b,b,e) != true
| ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(l0(X_443),true,ifeq(m0(b,b,e),true,m1(e,b,b),true),true),true) ),[0,2,0],$fot(true)]]) ).
cnf(refute_0_278,plain,
( ifeq(l0(X_443),true,ifeq(m0(b,b,e),true,m1(e,b,b),true),true) != true
| ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) = true ),
inference(resolve,[$cnf( $equal(m0(b,b,e),true) )],[axiom_31,refute_0_277]) ).
cnf(refute_0_279,plain,
ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(l0(X_443),true,ifeq(m0(b,b,e),true,m1(e,b,b),true),true),true) )],[refute_0_276,refute_0_278]) ).
cnf(refute_0_280,plain,
ifeq(true,true,m1(e,b,b),true) = m1(e,b,b),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(m1(e,b,b))),bind(C,$fot(true))]]) ).
cnf(refute_0_281,plain,
ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) = ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true),
introduced(tautology,[refl,[$fot(ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true))]]) ).
cnf(refute_0_282,plain,
( ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) != ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true)
| ifeq(true,true,m1(e,b,b),true) != m1(e,b,b)
| ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) = ifeq(l0(X_443),true,m1(e,b,b),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true),ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true)) ),[1,2],$fot(m1(e,b,b))]]) ).
cnf(refute_0_283,plain,
( ifeq(true,true,m1(e,b,b),true) != m1(e,b,b)
| ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) = ifeq(l0(X_443),true,m1(e,b,b),true) ),
inference(resolve,[$cnf( $equal(ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true),ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) = ifeq(l0(X_443),true,m1(e,b,b),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,m1(e,b,b),true),m1(e,b,b)) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
( ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) != ifeq(l0(X_443),true,m1(e,b,b),true)
| ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) != true
| ifeq(l0(X_443),true,m1(e,b,b),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true),true) ),[0],$fot(ifeq(l0(X_443),true,m1(e,b,b),true))]]) ).
cnf(refute_0_286,plain,
( ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true) != true
| ifeq(l0(X_443),true,m1(e,b,b),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true),ifeq(l0(X_443),true,m1(e,b,b),true)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
ifeq(l0(X_443),true,m1(e,b,b),true) = true,
inference(resolve,[$cnf( $equal(ifeq(l0(X_443),true,ifeq(true,true,m1(e,b,b),true),true),true) )],[refute_0_279,refute_0_286]) ).
cnf(refute_0_288,plain,
ifeq(l0(a),true,m1(e,b,b),true) = true,
inference(subst,[],[refute_0_287:[bind(X_443,$fot(a))]]) ).
cnf(refute_0_289,plain,
( ifeq(l0(a),true,m1(e,b,b),true) != true
| l0(a) != true
| ifeq(true,true,m1(e,b,b),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(l0(a),true,m1(e,b,b),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_290,plain,
( ifeq(l0(a),true,m1(e,b,b),true) != true
| ifeq(true,true,m1(e,b,b),true) = true ),
inference(resolve,[$cnf( $equal(l0(a),true) )],[axiom_20,refute_0_289]) ).
cnf(refute_0_291,plain,
ifeq(true,true,m1(e,b,b),true) = true,
inference(resolve,[$cnf( $equal(ifeq(l0(a),true,m1(e,b,b),true),true) )],[refute_0_288,refute_0_290]) ).
cnf(refute_0_292,plain,
( ifeq(true,true,m1(e,b,b),true) != m1(e,b,b)
| ifeq(true,true,m1(e,b,b),true) != true
| m1(e,b,b) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,m1(e,b,b),true),true) ),[0],$fot(m1(e,b,b))]]) ).
cnf(refute_0_293,plain,
( ifeq(true,true,m1(e,b,b),true) != true
| m1(e,b,b) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,m1(e,b,b),true),m1(e,b,b)) )],[refute_0_280,refute_0_292]) ).
cnf(refute_0_294,plain,
m1(e,b,b) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,m1(e,b,b),true),true) )],[refute_0_291,refute_0_293]) ).
cnf(refute_0_295,plain,
ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),
introduced(tautology,[refl,[$fot(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true))]]) ).
cnf(refute_0_296,plain,
( ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true)
| m1(e,b,b) != true
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_297,plain,
( m1(e,b,b) != true
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) ),
inference(resolve,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),
inference(resolve,[$cnf( $equal(m1(e,b,b),true) )],[refute_0_294,refute_0_297]) ).
cnf(refute_0_299,plain,
( ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true)
| ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != ifeq(true,true,l2(b,b),true)
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,l2(b,b),true) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true))),bind(Y0,$fot(ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true))),bind(Z,$fot(ifeq(true,true,l2(b,b),true)))]]) ).
cnf(refute_0_300,plain,
( ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != ifeq(true,true,l2(b,b),true)
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,l2(b,b),true) ),
inference(resolve,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = ifeq(true,true,l2(b,b),true),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),ifeq(true,true,l2(b,b),true)) )],[refute_0_275,refute_0_300]) ).
cnf(refute_0_302,plain,
( ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != ifeq(true,true,l2(b,b),true)
| ifeq(true,true,l2(b,b),true) != l2(b,b)
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = l2(b,b) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true))),bind(Y0,$fot(ifeq(true,true,l2(b,b),true))),bind(Z,$fot(l2(b,b)))]]) ).
cnf(refute_0_303,plain,
( ifeq(true,true,l2(b,b),true) != l2(b,b)
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = l2(b,b) ),
inference(resolve,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),ifeq(true,true,l2(b,b),true)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = l2(b,b),
inference(resolve,[$cnf( $equal(ifeq(true,true,l2(b,b),true),l2(b,b)) )],[refute_0_257,refute_0_303]) ).
cnf(refute_0_305,plain,
( ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != l2(b,b)
| ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != true
| l2(b,b) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),true) ),[0],$fot(l2(b,b))]]) ).
cnf(refute_0_306,plain,
( ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) != true
| l2(b,b) = true ),
inference(resolve,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),l2(b,b)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
l2(b,b) = true,
inference(resolve,[$cnf( $equal(ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true),true) )],[refute_0_256,refute_0_306]) ).
cnf(refute_0_308,plain,
( ifeq(l2(b,b),true,q3(a,a),true) != true
| l2(b,b) != true
| ifeq(true,true,q3(a,a),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(l2(b,b),true,q3(a,a),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_309,plain,
( ifeq(l2(b,b),true,q3(a,a),true) != true
| ifeq(true,true,q3(a,a),true) = true ),
inference(resolve,[$cnf( $equal(l2(b,b),true) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
ifeq(true,true,q3(a,a),true) = true,
inference(resolve,[$cnf( $equal(ifeq(l2(b,b),true,q3(a,a),true),true) )],[refute_0_252,refute_0_309]) ).
cnf(refute_0_311,plain,
ifeq(true,true,q3(a,a),true) = q3(a,a),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(q3(a,a))),bind(C,$fot(true))]]) ).
cnf(refute_0_312,plain,
( ifeq(true,true,q3(a,a),true) != q3(a,a)
| ifeq(true,true,q3(a,a),true) != true
| q3(a,a) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,q3(a,a),true),true) ),[0],$fot(q3(a,a))]]) ).
cnf(refute_0_313,plain,
( ifeq(true,true,q3(a,a),true) != true
| q3(a,a) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,q3(a,a),true),q3(a,a)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
q3(a,a) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,q3(a,a),true),true) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
( ifeq(q3(a,a),true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) != true
| q3(a,a) != true
| ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(q3(a,a),true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_316,plain,
( ifeq(q3(a,a),true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) != true
| ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) = true ),
inference(resolve,[$cnf( $equal(q3(a,a),true) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) = true,
inference(resolve,[$cnf( $equal(ifeq(q3(a,a),true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true),true) )],[refute_0_118,refute_0_316]) ).
cnf(refute_0_318,plain,
ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) = ifeq(p0(X_817,X_814),true,r4(X_814),true),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(ifeq(p0(X_817,X_814),true,r4(X_814),true))),bind(C,$fot(true))]]) ).
cnf(refute_0_319,plain,
( ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) != ifeq(p0(X_817,X_814),true,r4(X_814),true)
| ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) != true
| ifeq(p0(X_817,X_814),true,r4(X_814),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true),true) ),[0],$fot(ifeq(p0(X_817,X_814),true,r4(X_814),true))]]) ).
cnf(refute_0_320,plain,
( ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true) != true
| ifeq(p0(X_817,X_814),true,r4(X_814),true) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true),ifeq(p0(X_817,X_814),true,r4(X_814),true)) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
ifeq(p0(X_817,X_814),true,r4(X_814),true) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,ifeq(p0(X_817,X_814),true,r4(X_814),true),true),true) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
ifeq(p0(b,X_818),true,r4(X_818),true) = true,
inference(subst,[],[refute_0_321:[bind(X_814,$fot(X_818)),bind(X_817,$fot(b))]]) ).
cnf(refute_0_323,plain,
p0(b,X_818) = true,
inference(subst,[],[axiom_14:[bind(X,$fot(X_818))]]) ).
cnf(refute_0_324,plain,
( ifeq(p0(b,X_818),true,r4(X_818),true) != true
| p0(b,X_818) != true
| ifeq(true,true,r4(X_818),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(p0(b,X_818),true,r4(X_818),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_325,plain,
( ifeq(p0(b,X_818),true,r4(X_818),true) != true
| ifeq(true,true,r4(X_818),true) = true ),
inference(resolve,[$cnf( $equal(p0(b,X_818),true) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
ifeq(true,true,r4(X_818),true) = true,
inference(resolve,[$cnf( $equal(ifeq(p0(b,X_818),true,r4(X_818),true),true) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
ifeq(true,true,r4(X_818),true) = r4(X_818),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(r4(X_818))),bind(C,$fot(true))]]) ).
cnf(refute_0_328,plain,
( ifeq(true,true,r4(X_818),true) != r4(X_818)
| ifeq(true,true,r4(X_818),true) != true
| r4(X_818) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,r4(X_818),true),true) ),[0],$fot(r4(X_818))]]) ).
cnf(refute_0_329,plain,
( ifeq(true,true,r4(X_818),true) != true
| r4(X_818) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,r4(X_818),true),r4(X_818)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
r4(X_818) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,r4(X_818),true),true) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
r4(I) = true,
inference(subst,[],[refute_0_330:[bind(X_818,$fot(I))]]) ).
cnf(refute_0_332,plain,
ifeq(r4(I),true,s5(H),true) = ifeq(r4(I),true,s5(H),true),
introduced(tautology,[refl,[$fot(ifeq(r4(I),true,s5(H),true))]]) ).
cnf(refute_0_333,plain,
( ifeq(r4(I),true,s5(H),true) != ifeq(r4(I),true,s5(H),true)
| r4(I) != true
| ifeq(r4(I),true,s5(H),true) = ifeq(true,true,s5(H),true) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r4(I),true,s5(H),true),ifeq(r4(I),true,s5(H),true)) ),[1,0],$fot(true)]]) ).
cnf(refute_0_334,plain,
( r4(I) != true
| ifeq(r4(I),true,s5(H),true) = ifeq(true,true,s5(H),true) ),
inference(resolve,[$cnf( $equal(ifeq(r4(I),true,s5(H),true),ifeq(r4(I),true,s5(H),true)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
ifeq(r4(I),true,s5(H),true) = ifeq(true,true,s5(H),true),
inference(resolve,[$cnf( $equal(r4(I),true) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
( ifeq(r4(I),true,s5(H),true) != ifeq(true,true,s5(H),true)
| ifeq(true,true,s5(H),true) != s5(H)
| ifeq(r4(I),true,s5(H),true) = s5(H) ),
inference(subst,[],[refute_0_30:[bind(X0,$fot(ifeq(r4(I),true,s5(H),true))),bind(Y0,$fot(ifeq(true,true,s5(H),true))),bind(Z,$fot(s5(H)))]]) ).
cnf(refute_0_337,plain,
( ifeq(true,true,s5(H),true) != s5(H)
| ifeq(r4(I),true,s5(H),true) = s5(H) ),
inference(resolve,[$cnf( $equal(ifeq(r4(I),true,s5(H),true),ifeq(true,true,s5(H),true)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
ifeq(r4(I),true,s5(H),true) = s5(H),
inference(resolve,[$cnf( $equal(ifeq(true,true,s5(H),true),s5(H)) )],[refute_0_0,refute_0_337]) ).
cnf(refute_0_339,plain,
( ifeq(r4(I),true,s5(H),true) != s5(H)
| ifeq(r4(I),true,s5(H),true) != true
| s5(H) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(r4(I),true,s5(H),true),true) ),[0],$fot(s5(H))]]) ).
cnf(refute_0_340,plain,
( ifeq(r4(I),true,s5(H),true) != true
| s5(H) = true ),
inference(resolve,[$cnf( $equal(ifeq(r4(I),true,s5(H),true),s5(H)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
s5(H) = true,
inference(resolve,[$cnf( $equal(ifeq(r4(I),true,s5(H),true),true) )],[refute_0_59,refute_0_340]) ).
cnf(refute_0_342,plain,
s5(c) = true,
inference(subst,[],[refute_0_341:[bind(H,$fot(c))]]) ).
cnf(refute_0_343,plain,
( s5(c) != true
| true != true
| s5(c) = true ),
introduced(tautology,[equality,[$cnf( ~ $equal(s5(c),true) ),[0],$fot(true)]]) ).
cnf(refute_0_344,plain,
( true != true
| s5(c) = true ),
inference(resolve,[$cnf( $equal(s5(c),true) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
true != true,
inference(resolve,[$cnf( $equal(s5(c),true) )],[refute_0_344,prove_this]) ).
cnf(refute_0_346,plain,
true = true,
introduced(tautology,[refl,[$fot(true)]]) ).
cnf(refute_0_347,plain,
$false,
inference(resolve,[$cnf( $equal(true,true) )],[refute_0_346,refute_0_345]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN214-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 23:44:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.31/1.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/1.48
% 1.31/1.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.31/1.52
%------------------------------------------------------------------------------