TSTP Solution File: ALG069-10 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% 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 14 17:34:59 EDT 2022
% Result : Unsatisfiable 28.61s 28.77s
% Output : CNFRefutation 28.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 43
% Syntax : Number of clauses : 121 ( 60 unt; 0 nHn; 112 RR)
% Number of literals : 213 ( 212 equ; 96 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-4 aty)
% Number of variables : 25 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq2(A,A,B,C) = B ).
cnf(ifeq_axiom_001,axiom,
ifeq(A,A,B,C) = B ).
cnf(ax3_1,axiom,
ifeq(sorti1(U),true,sorti1(sK2_ax3_V(U)),true) = true ).
cnf(ax3,axiom,
ifeq2(sorti1(U),true,op1(sK2_ax3_V(U),sK2_ax3_V(U)),U) = U ).
cnf(ax4_1,axiom,
tuple(op2(V,V),sorti2(V)) != tuple(sK1_ax4_U,true) ).
cnf(ax4,axiom,
sorti2(sK1_ax4_U) = true ).
cnf(co1,negated_conjecture,
ifeq(sorti1(U),true,sorti2(h(U)),true) = true ).
cnf(co1_1,negated_conjecture,
ifeq2(sorti1(X),true,ifeq2(sorti1(W),true,op2(h(W),h(X)),h(op1(W,X))),h(op1(W,X))) = h(op1(W,X)) ).
cnf(co1_3,negated_conjecture,
ifeq(sorti2(V),true,sorti1(j(V)),true) = true ).
cnf(co1_5,negated_conjecture,
ifeq2(sorti2(X1),true,h(j(X1)),X1) = X1 ).
cnf(refute_0_0,plain,
tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))) != tuple(sK1_ax4_U,true),
inference(subst,[],[ax4_1:[bind(V,$fot(h(sK2_ax3_V(j(sK1_ax4_U)))))]]) ).
cnf(refute_0_1,plain,
ifeq(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) = true,
inference(subst,[],[co1:[bind(U,$fot(sK2_ax3_V(j(sK1_ax4_U))))]]) ).
cnf(refute_0_2,plain,
ifeq(sorti1(j(sK1_ax4_U)),true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) = true,
inference(subst,[],[ax3_1:[bind(U,$fot(j(sK1_ax4_U)))]]) ).
cnf(refute_0_3,plain,
ifeq(sorti2(sK1_ax4_U),true,sorti1(j(sK1_ax4_U)),true) = true,
inference(subst,[],[co1_3:[bind(V,$fot(sK1_ax4_U))]]) ).
cnf(refute_0_4,plain,
( ifeq(sorti2(sK1_ax4_U),true,sorti1(j(sK1_ax4_U)),true) != true
| sorti2(sK1_ax4_U) != true
| ifeq(true,true,sorti1(j(sK1_ax4_U)),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(sorti2(sK1_ax4_U),true,sorti1(j(sK1_ax4_U)),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_5,plain,
( ifeq(sorti2(sK1_ax4_U),true,sorti1(j(sK1_ax4_U)),true) != true
| ifeq(true,true,sorti1(j(sK1_ax4_U)),true) = true ),
inference(resolve,[$cnf( $equal(sorti2(sK1_ax4_U),true) )],[ax4,refute_0_4]) ).
cnf(refute_0_6,plain,
ifeq(true,true,sorti1(j(sK1_ax4_U)),true) = true,
inference(resolve,[$cnf( $equal(ifeq(sorti2(sK1_ax4_U),true,sorti1(j(sK1_ax4_U)),true),true) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
ifeq(true,true,sorti1(j(sK1_ax4_U)),true) = sorti1(j(sK1_ax4_U)),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(sorti1(j(sK1_ax4_U)))),bind(C,$fot(true))]]) ).
cnf(refute_0_8,plain,
( ifeq(true,true,sorti1(j(sK1_ax4_U)),true) != sorti1(j(sK1_ax4_U))
| ifeq(true,true,sorti1(j(sK1_ax4_U)),true) != true
| sorti1(j(sK1_ax4_U)) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,sorti1(j(sK1_ax4_U)),true),true) ),[0],$fot(sorti1(j(sK1_ax4_U)))]]) ).
cnf(refute_0_9,plain,
( ifeq(true,true,sorti1(j(sK1_ax4_U)),true) != true
| sorti1(j(sK1_ax4_U)) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,sorti1(j(sK1_ax4_U)),true),sorti1(j(sK1_ax4_U))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
sorti1(j(sK1_ax4_U)) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,sorti1(j(sK1_ax4_U)),true),true) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( ifeq(sorti1(j(sK1_ax4_U)),true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) != true
| sorti1(j(sK1_ax4_U)) != true
| ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(sorti1(j(sK1_ax4_U)),true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_12,plain,
( ifeq(sorti1(j(sK1_ax4_U)),true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) != true
| ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) = true ),
inference(resolve,[$cnf( $equal(sorti1(j(sK1_ax4_U)),true) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(sorti1(j(sK1_ax4_U)),true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true),true) )],[refute_0_2,refute_0_12]) ).
cnf(refute_0_14,plain,
ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) = sorti1(sK2_ax3_V(j(sK1_ax4_U))),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(sorti1(sK2_ax3_V(j(sK1_ax4_U))))),bind(C,$fot(true))]]) ).
cnf(refute_0_15,plain,
( ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) != sorti1(sK2_ax3_V(j(sK1_ax4_U)))
| ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) != true
| sorti1(sK2_ax3_V(j(sK1_ax4_U))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true),true) ),[0],$fot(sorti1(sK2_ax3_V(j(sK1_ax4_U))))]]) ).
cnf(refute_0_16,plain,
( ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) != true
| sorti1(sK2_ax3_V(j(sK1_ax4_U))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true),sorti1(sK2_ax3_V(j(sK1_ax4_U)))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
sorti1(sK2_ax3_V(j(sK1_ax4_U))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true),true) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
( ifeq(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) != true
| sorti1(sK2_ax3_V(j(sK1_ax4_U))) != true
| ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true),true) ),[0,0],$fot(true)]]) ).
cnf(refute_0_19,plain,
( ifeq(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) != true
| ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) = true ),
inference(resolve,[$cnf( $equal(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) = true,
inference(resolve,[$cnf( $equal(ifeq(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true),true) )],[refute_0_1,refute_0_19]) ).
cnf(refute_0_21,plain,
ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) = sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),
inference(subst,[],[ifeq_axiom_001:[bind(A,$fot(true)),bind(B,$fot(sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))))),bind(C,$fot(true))]]) ).
cnf(refute_0_22,plain,
( ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) != sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))
| ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) != true
| sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))) = true ),
introduced(tautology,[equality,[$cnf( $equal(ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true),true) ),[0],$fot(sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))))]]) ).
cnf(refute_0_23,plain,
( ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) != true
| sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))) = true ),
inference(resolve,[$cnf( $equal(ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true),sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))) = true,
inference(resolve,[$cnf( $equal(ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true),true) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
( sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))) != true
| tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) != tuple(sK1_ax4_U,true)
| tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))) = tuple(sK1_ax4_U,true) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))),tuple(sK1_ax4_U,true)) ),[0,1],$fot(true)]]) ).
cnf(refute_0_26,plain,
( tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) != tuple(sK1_ax4_U,true)
| tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))) = tuple(sK1_ax4_U,true) ),
inference(resolve,[$cnf( $equal(sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) != tuple(sK1_ax4_U,true),
inference(resolve,[$cnf( $equal(tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))),tuple(sK1_ax4_U,true)) )],[refute_0_26,refute_0_0]) ).
cnf(refute_0_28,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))),
inference(subst,[],[co1_1:[bind(W,$fot(sK2_ax3_V(j(sK1_ax4_U)))),bind(X,$fot(sK2_ax3_V(j(sK1_ax4_U))))]]) ).
cnf(refute_0_29,plain,
ifeq2(sorti1(j(sK1_ax4_U)),true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) = j(sK1_ax4_U),
inference(subst,[],[ax3:[bind(U,$fot(j(sK1_ax4_U)))]]) ).
cnf(refute_0_30,plain,
( ifeq2(sorti1(j(sK1_ax4_U)),true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) != j(sK1_ax4_U)
| sorti1(j(sK1_ax4_U)) != true
| ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) = j(sK1_ax4_U) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(sorti1(j(sK1_ax4_U)),true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)),j(sK1_ax4_U)) ),[0,0],$fot(true)]]) ).
cnf(refute_0_31,plain,
( ifeq2(sorti1(j(sK1_ax4_U)),true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) != j(sK1_ax4_U)
| ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) = j(sK1_ax4_U) ),
inference(resolve,[$cnf( $equal(sorti1(j(sK1_ax4_U)),true) )],[refute_0_10,refute_0_30]) ).
cnf(refute_0_32,plain,
ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) = j(sK1_ax4_U),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(j(sK1_ax4_U)),true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)),j(sK1_ax4_U)) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) = op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),bind(C,$fot(j(sK1_ax4_U)))]]) ).
cnf(refute_0_34,plain,
( ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) != j(sK1_ax4_U)
| ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) != op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))
| op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) = j(sK1_ax4_U) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)),j(sK1_ax4_U)) ),[0],$fot(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))]]) ).
cnf(refute_0_35,plain,
( ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) != j(sK1_ax4_U)
| op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) = j(sK1_ax4_U) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)),op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) = j(sK1_ax4_U),
inference(resolve,[$cnf( $equal(ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)),j(sK1_ax4_U)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))
| op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) != j(sK1_ax4_U)
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) ),[0,3,0],$fot(j(sK1_ax4_U))]]) ).
cnf(refute_0_38,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) ),
inference(resolve,[$cnf( $equal(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_28,refute_0_38]) ).
cnf(refute_0_40,plain,
ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))))),bind(C,$fot(sK1_ax4_U))]]) ).
cnf(refute_0_41,plain,
ifeq2(sorti2(sK1_ax4_U),true,h(j(sK1_ax4_U)),sK1_ax4_U) = sK1_ax4_U,
inference(subst,[],[co1_5:[bind(X1,$fot(sK1_ax4_U))]]) ).
cnf(refute_0_42,plain,
( ifeq2(sorti2(sK1_ax4_U),true,h(j(sK1_ax4_U)),sK1_ax4_U) != sK1_ax4_U
| sorti2(sK1_ax4_U) != true
| ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U) = sK1_ax4_U ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(sorti2(sK1_ax4_U),true,h(j(sK1_ax4_U)),sK1_ax4_U),sK1_ax4_U) ),[0,0],$fot(true)]]) ).
cnf(refute_0_43,plain,
( ifeq2(sorti2(sK1_ax4_U),true,h(j(sK1_ax4_U)),sK1_ax4_U) != sK1_ax4_U
| ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U) = sK1_ax4_U ),
inference(resolve,[$cnf( $equal(sorti2(sK1_ax4_U),true) )],[ax4,refute_0_42]) ).
cnf(refute_0_44,plain,
ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U) = sK1_ax4_U,
inference(resolve,[$cnf( $equal(ifeq2(sorti2(sK1_ax4_U),true,h(j(sK1_ax4_U)),sK1_ax4_U),sK1_ax4_U) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U) = h(j(sK1_ax4_U)),
inference(subst,[],[ifeq_axiom:[bind(A,$fot(true)),bind(B,$fot(h(j(sK1_ax4_U)))),bind(C,$fot(sK1_ax4_U))]]) ).
cnf(refute_0_46,plain,
( ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U) != h(j(sK1_ax4_U))
| ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U) != sK1_ax4_U
| h(j(sK1_ax4_U)) = sK1_ax4_U ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U),sK1_ax4_U) ),[0],$fot(h(j(sK1_ax4_U)))]]) ).
cnf(refute_0_47,plain,
( ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U) != sK1_ax4_U
| h(j(sK1_ax4_U)) = sK1_ax4_U ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U),h(j(sK1_ax4_U))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
h(j(sK1_ax4_U)) = sK1_ax4_U,
inference(resolve,[$cnf( $equal(ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U),sK1_ax4_U) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))),
introduced(tautology,[refl,[$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))))]]) ).
cnf(refute_0_50,plain,
( h(j(sK1_ax4_U)) != sK1_ax4_U
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U)))
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U)))) ),[1,3],$fot(sK1_ax4_U)]]) ).
cnf(refute_0_51,plain,
( h(j(sK1_ax4_U)) != sK1_ax4_U
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),
inference(resolve,[$cnf( $equal(h(j(sK1_ax4_U)),sK1_ax4_U) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) = h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))),
introduced(tautology,[refl,[$fot(h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))]]) ).
cnf(refute_0_54,plain,
( h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) != h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))
| op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) != j(sK1_ax4_U)
| h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) = h(j(sK1_ax4_U)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) ),[1,0],$fot(j(sK1_ax4_U))]]) ).
cnf(refute_0_55,plain,
( op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) != j(sK1_ax4_U)
| h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) = h(j(sK1_ax4_U)) ),
inference(resolve,[$cnf( $equal(h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) = h(j(sK1_ax4_U)),
inference(resolve,[$cnf( $equal(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) )],[refute_0_36,refute_0_55]) ).
cnf(refute_0_57,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_58,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_59,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( Y != X0
| Y != Z
| X0 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X0)]]) ).
cnf(refute_0_61,plain,
( X0 != Y
| Y != Z
| X0 = Z ),
inference(resolve,[$cnf( $equal(Y,X0) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
( h(j(sK1_ax4_U)) != sK1_ax4_U
| h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) != h(j(sK1_ax4_U))
| h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) = sK1_ax4_U ),
inference(subst,[],[refute_0_61:[bind(X0,$fot(h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))),bind(Y,$fot(h(j(sK1_ax4_U)))),bind(Z,$fot(sK1_ax4_U))]]) ).
cnf(refute_0_63,plain,
( h(j(sK1_ax4_U)) != sK1_ax4_U
| h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) = sK1_ax4_U ),
inference(resolve,[$cnf( $equal(h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) )],[refute_0_56,refute_0_62]) ).
cnf(refute_0_64,plain,
h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) = sK1_ax4_U,
inference(resolve,[$cnf( $equal(h(j(sK1_ax4_U)),sK1_ax4_U) )],[refute_0_48,refute_0_63]) ).
cnf(refute_0_65,plain,
ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),
introduced(tautology,[refl,[$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))))]]) ).
cnf(refute_0_66,plain,
( h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) != sK1_ax4_U
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))) ),[1,3],$fot(sK1_ax4_U)]]) ).
cnf(refute_0_67,plain,
( h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) != sK1_ax4_U
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),
inference(resolve,[$cnf( $equal(h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),
introduced(tautology,[refl,[$fot(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))))]]) ).
cnf(refute_0_70,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))
| sorti1(sK2_ax3_V(j(sK1_ax4_U))) != true
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))) ),[1,0],$fot(true)]]) ).
cnf(refute_0_71,plain,
( sorti1(sK2_ax3_V(j(sK1_ax4_U))) != true
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) ),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),
inference(resolve,[$cnf( $equal(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) )],[refute_0_17,refute_0_71]) ).
cnf(refute_0_73,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
inference(subst,[],[refute_0_61:[bind(X0,$fot(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))))),bind(Y,$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))))),bind(Z,$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)))]]) ).
cnf(refute_0_74,plain,
( ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),
inference(resolve,[$cnf( $equal(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)) )],[refute_0_68,refute_0_74]) ).
cnf(refute_0_76,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) != op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) ),
inference(subst,[],[refute_0_61:[bind(X0,$fot(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))))),bind(Y,$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U))),bind(Z,$fot(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))))]]) ).
cnf(refute_0_77,plain,
( ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) != op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) ),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),
inference(resolve,[$cnf( $equal(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_40,refute_0_77]) ).
cnf(refute_0_79,plain,
ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),
introduced(tautology,[refl,[$fot(ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))))]]) ).
cnf(refute_0_80,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))
| ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U)))
| ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U)))) ),[1,2],$fot(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))))]]) ).
cnf(refute_0_81,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) != op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))
| ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U)))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
( ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U)))
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
inference(subst,[],[refute_0_61:[bind(X0,$fot(ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))))),bind(Y,$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))))),bind(Z,$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)))]]) ).
cnf(refute_0_84,plain,
( ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
inference(resolve,[$cnf( $equal(ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U)))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),
inference(resolve,[$cnf( $equal(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)) )],[refute_0_52,refute_0_84]) ).
cnf(refute_0_86,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),
introduced(tautology,[refl,[$fot(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))))]]) ).
cnf(refute_0_87,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U)))
| sorti1(sK2_ax3_V(j(sK1_ax4_U))) != true
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U)))) ),[1,0],$fot(true)]]) ).
cnf(refute_0_88,plain,
( sorti1(sK2_ax3_V(j(sK1_ax4_U))) != true
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) ),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U)))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),
inference(resolve,[$cnf( $equal(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) )],[refute_0_17,refute_0_88]) ).
cnf(refute_0_90,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U)))
| ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
inference(subst,[],[refute_0_61:[bind(X0,$fot(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))))),bind(Y,$fot(ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))))),bind(Z,$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)))]]) ).
cnf(refute_0_91,plain,
( ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U)))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),
inference(resolve,[$cnf( $equal(ifeq2(true,true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)) )],[refute_0_85,refute_0_91]) ).
cnf(refute_0_93,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) != op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) ),
inference(subst,[],[refute_0_61:[bind(X0,$fot(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))))),bind(Y,$fot(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U))),bind(Z,$fot(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))))]]) ).
cnf(refute_0_94,plain,
( ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) != op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) ),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),
inference(resolve,[$cnf( $equal(ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_40,refute_0_94]) ).
cnf(refute_0_96,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))
| ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))
| op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) = h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) ),
introduced(tautology,[equality,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) ),[0],$fot(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))))]]) ).
cnf(refute_0_97,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))
| op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) = h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) ),
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))) != sK1_ax4_U
| op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) != h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))
| op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) = sK1_ax4_U ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) ),[1],$fot(sK1_ax4_U)]]) ).
cnf(refute_0_99,plain,
( op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) != h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))
| op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) = sK1_ax4_U ),
inference(resolve,[$cnf( $equal(h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) )],[refute_0_64,refute_0_98]) ).
cnf(refute_0_100,plain,
( ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))) != h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))
| op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) = sK1_ax4_U ),
inference(resolve,[$cnf( $equal(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_97,refute_0_99]) ).
cnf(refute_0_101,plain,
op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) = sK1_ax4_U,
inference(resolve,[$cnf( $equal(ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))),h(j(sK1_ax4_U))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))))) )],[refute_0_39,refute_0_100]) ).
cnf(refute_0_102,plain,
tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) = tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true),
introduced(tautology,[refl,[$fot(tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true))]]) ).
cnf(refute_0_103,plain,
( op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) != sK1_ax4_U
| tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) != tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true)
| tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) = tuple(sK1_ax4_U,true) ),
introduced(tautology,[equality,[$cnf( $equal(tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true),tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true)) ),[1,0],$fot(sK1_ax4_U)]]) ).
cnf(refute_0_104,plain,
( op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))) != sK1_ax4_U
| tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) = tuple(sK1_ax4_U,true) ),
inference(resolve,[$cnf( $equal(tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true),tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) = tuple(sK1_ax4_U,true),
inference(resolve,[$cnf( $equal(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
( tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) != tuple(sK1_ax4_U,true)
| tuple(sK1_ax4_U,true) != tuple(sK1_ax4_U,true)
| tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) = tuple(sK1_ax4_U,true) ),
introduced(tautology,[equality,[$cnf( ~ $equal(tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true),tuple(sK1_ax4_U,true)) ),[0],$fot(tuple(sK1_ax4_U,true))]]) ).
cnf(refute_0_107,plain,
( tuple(sK1_ax4_U,true) != tuple(sK1_ax4_U,true)
| tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true) = tuple(sK1_ax4_U,true) ),
inference(resolve,[$cnf( $equal(tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true),tuple(sK1_ax4_U,true)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
tuple(sK1_ax4_U,true) != tuple(sK1_ax4_U,true),
inference(resolve,[$cnf( $equal(tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true),tuple(sK1_ax4_U,true)) )],[refute_0_107,refute_0_27]) ).
cnf(refute_0_109,plain,
tuple(sK1_ax4_U,true) = tuple(sK1_ax4_U,true),
introduced(tautology,[refl,[$fot(tuple(sK1_ax4_U,true))]]) ).
cnf(refute_0_110,plain,
$false,
inference(resolve,[$cnf( $equal(tuple(sK1_ax4_U,true),tuple(sK1_ax4_U,true)) )],[refute_0_109,refute_0_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG069-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.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 : Wed Jun 8 08:23:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 28.61/28.77 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.61/28.77
% 28.61/28.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 28.61/28.79
%------------------------------------------------------------------------------