%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV537-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:03:00 AM UTC 2026
% Result : Unsatisfiable 7.70s 2.38s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 27
% Syntax : Number of clauses : 253 ( 91 unt; 160 nHn; 226 RR)
% Number of literals : 783 ( 782 equ; 39 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-3 aty)
% Number of variables : 37 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(X0,X1,X2),X1) = X2 ).
cnf(a2,axiom,
( select(store(X2,X0,X3),X1) = select(X2,X1)
| X0 = X1 ) ).
cnf(hyp2,hypothesis,
'a$u469' = store('a$u467',i0,'e$u468') ).
cnf(hyp3,hypothesis,
'a$u471' = store('a$u469',i3,'e$u470') ).
cnf(hyp4,hypothesis,
'a$u473' = store('a$u471',i3,'e$u472') ).
cnf(hyp5,hypothesis,
'a$u475' = store('a$u473',i2,'e$u474') ).
cnf(hyp6,hypothesis,
'a$u477' = store('a$u475',i2,'e$u476') ).
cnf(hyp7,hypothesis,
'a$u479' = store('a$u477',i0,'e$u478') ).
cnf(hyp8,hypothesis,
'a$u480' = store('a$u467',i3,'e$u470') ).
cnf(hyp9,hypothesis,
'a$u481' = store('a$u480',i0,'e$u468') ).
cnf(hyp10,hypothesis,
'a$u483' = store('a$u481',i3,'e$u482') ).
cnf(hyp11,hypothesis,
'a$u485' = store('a$u483',i2,'e$u484') ).
cnf(hyp12,hypothesis,
'a$u487' = store('a$u485',i0,'e$u486') ).
cnf(hyp13,hypothesis,
'a$u489' = store('a$u487',i2,'e$u488') ).
cnf(hyp15,hypothesis,
'e$u468' = select('a$u467',i3) ).
cnf(hyp16,hypothesis,
'e$u470' = select('a$u467',i0) ).
cnf(hyp17,hypothesis,
'e$u472' = select('a$u471',i2) ).
cnf(hyp18,hypothesis,
'e$u474' = select('a$u471',i3) ).
cnf(hyp19,hypothesis,
'e$u476' = select('a$u475',i0) ).
cnf(hyp20,hypothesis,
'e$u478' = select('a$u475',i2) ).
cnf(hyp21,hypothesis,
'e$u482' = select('a$u481',i2) ).
cnf(hyp22,hypothesis,
'e$u484' = select('a$u481',i3) ).
cnf(hyp23,hypothesis,
'e$u486' = select('a$u485',i2) ).
cnf(hyp24,hypothesis,
'e$u488' = select('a$u485',i0) ).
cnf(hyp25,hypothesis,
'e$u491' = select('a$u479','i$u490') ).
cnf(hyp26,hypothesis,
'e$u492' = select('a$u489','i$u490') ).
cnf(goal,negated_conjecture,
'e$u491' != 'e$u492' ).
cnf(c0,plain,
select(store(X0,X1,X2),X1) = X2,
inference(clausification,[status(esa)],[a1]) ).
cnf(c1,plain,
( select(store(X2,X0,X3),X1) = select(X2,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[a2]) ).
cnf(c4,plain,
'a$u469' = store('a$u467',i0,'e$u468'),
inference(clausification,[status(esa)],[hyp2]) ).
cnf(c5,plain,
'a$u471' = store('a$u469',i3,'e$u470'),
inference(clausification,[status(esa)],[hyp3]) ).
cnf(c6,plain,
'a$u473' = store('a$u471',i3,'e$u472'),
inference(clausification,[status(esa)],[hyp4]) ).
cnf(c7,plain,
'a$u475' = store('a$u473',i2,'e$u474'),
inference(clausification,[status(esa)],[hyp5]) ).
cnf(c8,plain,
'a$u477' = store('a$u475',i2,'e$u476'),
inference(clausification,[status(esa)],[hyp6]) ).
cnf(c9,plain,
'a$u479' = store('a$u477',i0,'e$u478'),
inference(clausification,[status(esa)],[hyp7]) ).
cnf(c10,plain,
'a$u480' = store('a$u467',i3,'e$u470'),
inference(clausification,[status(esa)],[hyp8]) ).
cnf(c11,plain,
'a$u481' = store('a$u480',i0,'e$u468'),
inference(clausification,[status(esa)],[hyp9]) ).
cnf(c12,plain,
'a$u483' = store('a$u481',i3,'e$u482'),
inference(clausification,[status(esa)],[hyp10]) ).
cnf(c13,plain,
'a$u485' = store('a$u483',i2,'e$u484'),
inference(clausification,[status(esa)],[hyp11]) ).
cnf(c14,plain,
'a$u487' = store('a$u485',i0,'e$u486'),
inference(clausification,[status(esa)],[hyp12]) ).
cnf(c15,plain,
'a$u489' = store('a$u487',i2,'e$u488'),
inference(clausification,[status(esa)],[hyp13]) ).
cnf(c17,plain,
'e$u468' = select('a$u467',i3),
inference(clausification,[status(esa)],[hyp15]) ).
cnf(c18,plain,
'e$u470' = select('a$u467',i0),
inference(clausification,[status(esa)],[hyp16]) ).
cnf(c19,plain,
'e$u472' = select('a$u471',i2),
inference(clausification,[status(esa)],[hyp17]) ).
cnf(c20,plain,
'e$u474' = select('a$u471',i3),
inference(clausification,[status(esa)],[hyp18]) ).
cnf(c21,plain,
'e$u476' = select('a$u475',i0),
inference(clausification,[status(esa)],[hyp19]) ).
cnf(c22,plain,
'e$u478' = select('a$u475',i2),
inference(clausification,[status(esa)],[hyp20]) ).
cnf(c23,plain,
'e$u482' = select('a$u481',i2),
inference(clausification,[status(esa)],[hyp21]) ).
cnf(c24,plain,
'e$u484' = select('a$u481',i3),
inference(clausification,[status(esa)],[hyp22]) ).
cnf(c25,plain,
'e$u486' = select('a$u485',i2),
inference(clausification,[status(esa)],[hyp23]) ).
cnf(c26,plain,
'e$u488' = select('a$u485',i0),
inference(clausification,[status(esa)],[hyp24]) ).
cnf(c27,plain,
'e$u491' = select('a$u479','i$u490'),
inference(clausification,[status(esa)],[hyp25]) ).
cnf(c28,plain,
'e$u492' = select('a$u489','i$u490'),
inference(clausification,[status(esa)],[hyp26]) ).
cnf(c30,plain,
'e$u491' != 'e$u492',
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
select('a$u485',i2) = 'e$u484',
inference(superposition,[status(thm)],[c13,c0]) ).
cnf(d1,plain,
select('a$u489',i2) = 'e$u488',
inference(superposition,[status(thm)],[c15,c0]) ).
cnf(d2,plain,
'e$u486' = 'e$u484',
inference(demodulation,[status(thm)],[c25,d0]) ).
cnf(d3,plain,
select('a$u487',i0) = 'e$u486',
inference(superposition,[status(thm)],[c14,c0]) ).
cnf(d4,plain,
select('a$u487',i0) = 'e$u484',
inference(demodulation,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( i2 = X0
| select('a$u489',X0) = select('a$u487',X0) ),
inference(superposition,[status(thm)],[c15,c1]) ).
cnf(d6,plain,
( i2 = i0
| select('a$u489',i0) = 'e$u484' ),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( i0 = X0
| select('a$u487',X0) = select('a$u485',X0) ),
inference(superposition,[status(thm)],[c14,c1]) ).
cnf(d8,plain,
( i2 = X0
| i0 = X0
| select('a$u489',X0) = select('a$u485',X0) ),
inference(superposition,[status(thm)],[d5,d7]) ).
cnf(d9,plain,
( i2 = 'i$u490'
| i0 = 'i$u490'
| 'e$u492' = select('a$u485','i$u490') ),
inference(superposition,[status(thm)],[d8,c28]) ).
cnf(d10,plain,
( i0 = X0
| select('a$u469',X0) = select('a$u467',X0) ),
inference(superposition,[status(thm)],[c4,c1]) ).
cnf(d11,plain,
( i3 = X0
| select('a$u471',X0) = select('a$u469',X0) ),
inference(superposition,[status(thm)],[c5,c1]) ).
cnf(d12,plain,
( i3 = X0
| i0 = X0
| select('a$u471',X0) = select('a$u467',X0) ),
inference(superposition,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( i3 = X0
| select('a$u473',X0) = select('a$u471',X0) ),
inference(superposition,[status(thm)],[c6,c1]) ).
cnf(d14,plain,
( i2 = X0
| select('a$u475',X0) = select('a$u473',X0) ),
inference(superposition,[status(thm)],[c7,c1]) ).
cnf(d15,plain,
( i2 = X0
| i3 = X0
| select('a$u475',X0) = select('a$u471',X0) ),
inference(superposition,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( i2 = X0
| select('a$u477',X0) = select('a$u475',X0) ),
inference(superposition,[status(thm)],[c8,c1]) ).
cnf(d17,plain,
( i0 = X0
| select('a$u479',X0) = select('a$u477',X0) ),
inference(superposition,[status(thm)],[c9,c1]) ).
cnf(d18,plain,
( i0 = X0
| i2 = X0
| select('a$u479',X0) = select('a$u475',X0) ),
inference(superposition,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( i2 = 'i$u490'
| i0 = 'i$u490'
| 'e$u491' = select('a$u475','i$u490') ),
inference(superposition,[status(thm)],[d18,c27]) ).
cnf(d20,plain,
( i2 = 'i$u490'
| i0 = 'i$u490'
| i2 = 'i$u490'
| i3 = 'i$u490'
| 'e$u491' = select('a$u471','i$u490') ),
inference(superposition,[status(thm)],[d19,d15]) ).
cnf(d21,plain,
( i2 = 'i$u490'
| i3 = 'i$u490'
| i0 = 'i$u490'
| i3 = 'i$u490'
| i0 = 'i$u490'
| 'e$u491' = select('a$u467','i$u490') ),
inference(superposition,[status(thm)],[d20,d12]) ).
cnf(d22,plain,
( i3 = X0
| select('a$u480',X0) = select('a$u467',X0) ),
inference(superposition,[status(thm)],[c10,c1]) ).
cnf(d23,plain,
( i0 = X0
| select('a$u481',X0) = select('a$u480',X0) ),
inference(superposition,[status(thm)],[c11,c1]) ).
cnf(d24,plain,
( i0 = X0
| i3 = X0
| select('a$u481',X0) = select('a$u467',X0) ),
inference(superposition,[status(thm)],[d23,d22]) ).
cnf(d25,plain,
( i3 = X0
| select('a$u483',X0) = select('a$u481',X0) ),
inference(superposition,[status(thm)],[c12,c1]) ).
cnf(d26,plain,
( i2 = X0
| select('a$u485',X0) = select('a$u483',X0) ),
inference(superposition,[status(thm)],[c13,c1]) ).
cnf(d27,plain,
( i2 = X0
| i3 = X0
| select('a$u485',X0) = select('a$u481',X0) ),
inference(superposition,[status(thm)],[d26,d25]) ).
cnf(d28,plain,
( i2 = 'i$u490'
| i0 = 'i$u490'
| i2 = 'i$u490'
| i3 = 'i$u490'
| 'e$u492' = select('a$u481','i$u490') ),
inference(superposition,[status(thm)],[d9,d27]) ).
cnf(d29,plain,
( i2 = 'i$u490'
| i3 = 'i$u490'
| i0 = 'i$u490'
| i3 = 'i$u490'
| i0 = 'i$u490'
| 'e$u492' = select('a$u467','i$u490') ),
inference(superposition,[status(thm)],[d28,d24]) ).
cnf(d30,plain,
( i2 = 'i$u490'
| i3 = 'i$u490'
| i0 = 'i$u490'
| i2 = 'i$u490'
| i3 = 'i$u490'
| i0 = 'i$u490'
| 'e$u491' = 'e$u492' ),
inference(superposition,[status(thm)],[d29,d21]) ).
cnf(d31,plain,
( i2 = 'i$u490'
| i3 = 'i$u490'
| i0 = 'i$u490' ),
inference(resolution,[status(thm)],[c30,d30]) ).
cnf(d32,plain,
( i2 = 'i$u490'
| i0 = 'i$u490'
| i2 = 'i$u490'
| i0 = 'i$u490'
| 'e$u492' = select('a$u485',i3) ),
inference(superposition,[status(thm)],[d31,d9]) ).
cnf(d33,plain,
select('a$u483',i3) = 'e$u482',
inference(superposition,[status(thm)],[c12,c0]) ).
cnf(d34,plain,
( i2 = i3
| select('a$u485',i3) = 'e$u482' ),
inference(superposition,[status(thm)],[d26,d33]) ).
cnf(d35,plain,
( i2 = 'i$u490'
| i0 = 'i$u490'
| i2 = i3
| 'e$u492' = 'e$u482' ),
inference(superposition,[status(thm)],[d32,d34]) ).
cnf(d36,plain,
( i2 = 'i$u490'
| i2 = i3
| i0 = 'i$u490'
| 'e$u491' != 'e$u482' ),
inference(superposition,[status(thm)],[d35,c30]) ).
cnf(d37,plain,
select('a$u473',i3) = 'e$u472',
inference(superposition,[status(thm)],[c6,c0]) ).
cnf(d38,plain,
( i2 = i3
| select('a$u475',i3) = 'e$u472' ),
inference(superposition,[status(thm)],[d14,d37]) ).
cnf(d39,plain,
( i2 = 'i$u490'
| i0 = 'i$u490'
| i2 = 'i$u490'
| i0 = 'i$u490'
| 'e$u491' = select('a$u475',i3) ),
inference(superposition,[status(thm)],[d31,d19]) ).
cnf(d40,plain,
( i2 = 'i$u490'
| i0 = 'i$u490'
| i2 = i3
| 'e$u491' = 'e$u472' ),
inference(superposition,[status(thm)],[d39,d38]) ).
cnf(d41,plain,
( i2 = 'i$u490'
| i2 = i3
| i0 = 'i$u490'
| i2 = 'i$u490'
| i2 = i3
| i0 = 'i$u490'
| 'e$u472' != 'e$u482' ),
inference(superposition,[status(thm)],[d40,d36]) ).
cnf(d42,plain,
( i3 = i2
| i0 = i2
| 'e$u482' = select('a$u467',i2) ),
inference(superposition,[status(thm)],[d24,c23]) ).
cnf(d43,plain,
( i3 = i2
| i0 = i2
| 'e$u472' = select('a$u467',i2) ),
inference(superposition,[status(thm)],[d12,c19]) ).
cnf(d44,plain,
( i3 = i2
| i0 = i2
| i3 = i2
| i0 = i2
| 'e$u482' = 'e$u472' ),
inference(superposition,[status(thm)],[d43,d42]) ).
cnf(d45,plain,
( i3 = i2
| i0 = i2
| i2 = 'i$u490'
| i2 = i3
| i0 = 'i$u490'
| 'e$u472' != 'e$u472' ),
inference(superposition,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
( i2 = 'i$u490'
| i2 = i3
| i3 = i2
| i0 = 'i$u490'
| i0 = i2 ),
inference(equality_resolution,[status(thm)],[d45]) ).
cnf(d47,plain,
( i2 = 'i$u490'
| i2 = i3
| i3 = i2
| i0 = i2
| 'e$u492' = select('a$u489',i0) ),
inference(superposition,[status(thm)],[d46,c28]) ).
cnf(d48,plain,
( i2 = 'i$u490'
| i2 = i3
| i3 = i2
| i0 = i2
| i2 = i0
| 'e$u492' = 'e$u484' ),
inference(superposition,[status(thm)],[d47,d6]) ).
cnf(d49,plain,
( i2 = 'i$u490'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u491' != 'e$u484' ),
inference(superposition,[status(thm)],[d48,c30]) ).
cnf(d50,plain,
select('a$u471',i3) = 'e$u470',
inference(superposition,[status(thm)],[c5,c0]) ).
cnf(d51,plain,
'e$u474' = 'e$u470',
inference(demodulation,[status(thm)],[c20,d50]) ).
cnf(d52,plain,
select('a$u475',i2) = 'e$u474',
inference(superposition,[status(thm)],[c7,c0]) ).
cnf(d53,plain,
select('a$u475',i2) = 'e$u470',
inference(demodulation,[status(thm)],[d52,d51]) ).
cnf(d54,plain,
'e$u478' = 'e$u470',
inference(demodulation,[status(thm)],[c22,d53]) ).
cnf(d55,plain,
select('a$u479',i0) = 'e$u478',
inference(superposition,[status(thm)],[c9,c0]) ).
cnf(d56,plain,
select('a$u479',i0) = 'e$u470',
inference(demodulation,[status(thm)],[d55,d54]) ).
cnf(d57,plain,
( i2 = 'i$u490'
| i2 = i3
| i3 = i2
| i0 = i2
| 'e$u491' = select('a$u479',i0) ),
inference(superposition,[status(thm)],[d46,c27]) ).
cnf(d58,plain,
( 'e$u491' = 'e$u470'
| i2 = 'i$u490'
| i2 = i3
| i3 = i2
| i0 = i2 ),
inference(demodulation,[status(thm)],[d57,d56]) ).
cnf(d59,plain,
( i2 = 'i$u490'
| i2 = i3
| i3 = i2
| i0 = i2
| i2 = 'i$u490'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u470' != 'e$u484' ),
inference(superposition,[status(thm)],[d58,d49]) ).
cnf(d60,plain,
select('a$u481',i0) = 'e$u468',
inference(superposition,[status(thm)],[c11,c0]) ).
cnf(d61,plain,
select('a$u480',i3) = 'e$u470',
inference(superposition,[status(thm)],[c10,c0]) ).
cnf(d62,plain,
( i0 = i3
| select('a$u481',i3) = 'e$u470' ),
inference(superposition,[status(thm)],[d23,d61]) ).
cnf(d63,plain,
( i0 = i3
| 'e$u484' = 'e$u470' ),
inference(demodulation,[status(thm)],[d62,c24]) ).
cnf(d64,plain,
( i0 = i3
| i2 = 'i$u490'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u470' != 'e$u470' ),
inference(superposition,[status(thm)],[d63,d59]) ).
cnf(d65,plain,
( i2 = 'i$u490'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3 ),
inference(equality_resolution,[status(thm)],[d64]) ).
cnf(d66,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3
| 'e$u492' = select('a$u489',i2) ),
inference(superposition,[status(thm)],[d65,c28]) ).
cnf(d67,plain,
( 'e$u492' = 'e$u488'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3 ),
inference(demodulation,[status(thm)],[d66,d1]) ).
cnf(d68,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3
| 'e$u491' != 'e$u488' ),
inference(superposition,[status(thm)],[d67,c30]) ).
cnf(d69,plain,
select('a$u477',i2) = 'e$u476',
inference(superposition,[status(thm)],[c8,c0]) ).
cnf(d70,plain,
( i0 = i2
| select('a$u479',i2) = 'e$u476' ),
inference(superposition,[status(thm)],[d17,d69]) ).
cnf(d71,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3
| 'e$u491' = select('a$u479',i2) ),
inference(superposition,[status(thm)],[d65,c27]) ).
cnf(d72,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3
| i0 = i2
| 'e$u491' = 'e$u476' ),
inference(superposition,[status(thm)],[d71,d70]) ).
cnf(d73,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3
| 'e$u476' != 'e$u488' ),
inference(superposition,[status(thm)],[d72,d68]) ).
cnf(d74,plain,
( i2 = i0
| i3 = i0
| 'e$u488' = select('a$u481',i0) ),
inference(superposition,[status(thm)],[d27,c26]) ).
cnf(d75,plain,
( 'e$u488' = 'e$u468'
| i2 = i0
| i3 = i0 ),
inference(demodulation,[status(thm)],[d74,d60]) ).
cnf(d76,plain,
( i2 = i0
| i3 = i0
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i3
| 'e$u476' != 'e$u468' ),
inference(superposition,[status(thm)],[d75,d73]) ).
cnf(d77,plain,
select('a$u469',i0) = 'e$u468',
inference(superposition,[status(thm)],[c4,c0]) ).
cnf(d78,plain,
( i3 = i0
| select('a$u471',i0) = 'e$u468' ),
inference(superposition,[status(thm)],[d11,d77]) ).
cnf(d79,plain,
( i2 = i0
| i3 = i0
| 'e$u476' = select('a$u471',i0) ),
inference(superposition,[status(thm)],[d15,c21]) ).
cnf(d80,plain,
( i2 = i0
| i3 = i0
| i3 = i0
| 'e$u476' = 'e$u468' ),
inference(superposition,[status(thm)],[d79,d78]) ).
cnf(d81,plain,
( i2 = i0
| i3 = i0
| i2 = i3
| i2 = i0
| i3 = i2
| i3 = i0
| i0 = i2
| i0 = i3
| 'e$u468' != 'e$u468' ),
inference(superposition,[status(thm)],[d80,d76]) ).
cnf(d82,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i3 = i0
| i0 = i2
| i0 = i3 ),
inference(equality_resolution,[status(thm)],[d81]) ).
cnf(d83,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i3 = i0
| i0 = i2
| i0 != i0 ),
inference(equality_factoring,[status(thm)],[d82]) ).
cnf(d84,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i3 = i0
| i0 = i2 ),
inference(equality_resolution,[status(thm)],[d83]) ).
cnf(d85,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u484' = select('a$u481',i0) ),
inference(superposition,[status(thm)],[d84,c24]) ).
cnf(d86,plain,
( 'e$u484' = 'e$u468'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2 ),
inference(demodulation,[status(thm)],[d85,d60]) ).
cnf(d87,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i2 = 'i$u490'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u470' != 'e$u468' ),
inference(superposition,[status(thm)],[d86,d59]) ).
cnf(d88,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u468' = select('a$u467',i0) ),
inference(superposition,[status(thm)],[d84,c17]) ).
cnf(d89,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| 'e$u468' = 'e$u470'
| i0 = i2 ),
inference(demodulation,[status(thm)],[d88,c18]) ).
cnf(d90,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i2 = 'i$u490'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u468' != 'e$u468' ),
inference(superposition,[status(thm)],[d89,d87]) ).
cnf(d91,plain,
( i2 = 'i$u490'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2 ),
inference(equality_resolution,[status(thm)],[d90]) ).
cnf(d92,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u492' = select('a$u489',i2) ),
inference(superposition,[status(thm)],[d91,c28]) ).
cnf(d93,plain,
( 'e$u492' = 'e$u488'
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2 ),
inference(demodulation,[status(thm)],[d92,d1]) ).
cnf(d94,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u491' != 'e$u488' ),
inference(superposition,[status(thm)],[d93,c30]) ).
cnf(d95,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u491' = select('a$u479',i2) ),
inference(superposition,[status(thm)],[d91,c27]) ).
cnf(d96,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i0 = i2
| 'e$u491' = 'e$u476' ),
inference(superposition,[status(thm)],[d95,d70]) ).
cnf(d97,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u476' != 'e$u488' ),
inference(superposition,[status(thm)],[d96,d94]) ).
cnf(d98,plain,
( i3 = i2
| i0 = i2
| i3 = i2
| i0 = i2
| 'e$u472' = 'e$u482' ),
inference(superposition,[status(thm)],[d42,d43]) ).
cnf(d99,plain,
( i3 = i2
| i0 = i2
| 'a$u483' = store('a$u481',i3,'e$u472') ),
inference(superposition,[status(thm)],[d98,c12]) ).
cnf(d100,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i3 = i2
| i0 = i2
| 'a$u483' = store('a$u481',i0,'e$u472') ),
inference(superposition,[status(thm)],[d84,d99]) ).
cnf(d101,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| select('a$u483',i0) = 'e$u472' ),
inference(superposition,[status(thm)],[d100,c0]) ).
cnf(d102,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i2 = i0
| select('a$u485',i0) = 'e$u472' ),
inference(superposition,[status(thm)],[d101,d26]) ).
cnf(d103,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u488' = 'e$u472' ),
inference(demodulation,[status(thm)],[d102,c26]) ).
cnf(d104,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u476' != 'e$u472' ),
inference(superposition,[status(thm)],[d103,d97]) ).
cnf(d105,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i2 = i3
| select('a$u475',i0) = 'e$u472' ),
inference(superposition,[status(thm)],[d84,d38]) ).
cnf(d106,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u476' = 'e$u472' ),
inference(demodulation,[status(thm)],[d105,c21]) ).
cnf(d107,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2
| 'e$u472' != 'e$u472' ),
inference(superposition,[status(thm)],[d106,d104]) ).
cnf(d108,plain,
( i2 = i3
| i2 = i0
| i3 = i2
| i0 = i2 ),
inference(equality_resolution,[status(thm)],[d107]) ).
cnf(d109,plain,
( i2 = i3
| i2 = i0
| i0 = i2
| i2 != i2 ),
inference(equality_factoring,[status(thm)],[d108]) ).
cnf(d110,plain,
( i2 = i3
| i2 = i0
| i0 = i2 ),
inference(equality_resolution,[status(thm)],[d109]) ).
cnf(d111,plain,
( i2 = i0
| i0 = i2
| i2 = 'i$u490'
| i0 = 'i$u490'
| 'e$u492' = select('a$u485',i2) ),
inference(superposition,[status(thm)],[d110,d32]) ).
cnf(d112,plain,
( 'e$u492' = 'e$u484'
| i2 = 'i$u490'
| i2 = i0
| i0 = 'i$u490'
| i0 = i2 ),
inference(demodulation,[status(thm)],[d111,d0]) ).
cnf(d113,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = 'i$u490'
| i0 = i2
| 'e$u491' != 'e$u484' ),
inference(superposition,[status(thm)],[d112,c30]) ).
cnf(d114,plain,
( i2 = i0
| i0 = i2
| i2 = 'i$u490'
| i0 = 'i$u490'
| 'e$u491' = select('a$u475',i2) ),
inference(superposition,[status(thm)],[d110,d39]) ).
cnf(d115,plain,
( 'e$u491' = 'e$u470'
| i2 = 'i$u490'
| i2 = i0
| i0 = 'i$u490'
| i0 = i2 ),
inference(demodulation,[status(thm)],[d114,d53]) ).
cnf(d116,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = 'i$u490'
| i0 = i2
| i2 = 'i$u490'
| i2 = i0
| i0 = 'i$u490'
| i0 = i2
| 'e$u470' != 'e$u484' ),
inference(superposition,[status(thm)],[d115,d113]) ).
cnf(d117,plain,
( i2 = i0
| i0 = i2
| 'e$u484' = select('a$u481',i2) ),
inference(superposition,[status(thm)],[d110,c24]) ).
cnf(d118,plain,
( 'e$u484' = 'e$u482'
| i2 = i0
| i0 = i2 ),
inference(demodulation,[status(thm)],[d117,c23]) ).
cnf(d119,plain,
( i2 = i0
| i0 = i2
| 'a$u485' = store('a$u483',i2,'e$u482') ),
inference(superposition,[status(thm)],[d118,c13]) ).
cnf(d120,plain,
( i2 = i0
| i0 = i2
| select('a$u480',i2) = 'e$u470' ),
inference(superposition,[status(thm)],[d110,d61]) ).
cnf(d121,plain,
( i2 = i0
| i0 = i2
| i0 = i2
| select('a$u481',i2) = 'e$u470' ),
inference(superposition,[status(thm)],[d120,d23]) ).
cnf(d122,plain,
( i2 = i0
| i0 = i2
| 'e$u482' = 'e$u470' ),
inference(demodulation,[status(thm)],[d121,c23]) ).
cnf(d123,plain,
( i2 = i0
| i0 = i2
| i2 = i0
| i0 = i2
| 'a$u485' = store('a$u483',i2,'e$u470') ),
inference(superposition,[status(thm)],[d122,d119]) ).
cnf(d124,plain,
( i2 = i0
| i0 = i2
| select('a$u485',i2) = 'e$u470' ),
inference(superposition,[status(thm)],[d123,c0]) ).
cnf(d125,plain,
( i2 = i0
| i0 = i2
| 'e$u484' = 'e$u470' ),
inference(demodulation,[status(thm)],[d124,d0]) ).
cnf(d126,plain,
( i2 = i0
| i0 = i2
| i2 = 'i$u490'
| i2 = i0
| i0 = 'i$u490'
| i0 = i2
| 'e$u470' != 'e$u470' ),
inference(superposition,[status(thm)],[d125,d116]) ).
cnf(d127,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = 'i$u490'
| i0 = i2 ),
inference(equality_resolution,[status(thm)],[d126]) ).
cnf(d128,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = i2
| 'e$u492' = select('a$u489',i0) ),
inference(superposition,[status(thm)],[d127,c28]) ).
cnf(d129,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = i2
| i2 = i0
| 'e$u492' = 'e$u484' ),
inference(superposition,[status(thm)],[d128,d6]) ).
cnf(d130,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = i2
| 'e$u491' != 'e$u484' ),
inference(superposition,[status(thm)],[d129,c30]) ).
cnf(d131,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = i2
| 'e$u491' = select('a$u479',i0) ),
inference(superposition,[status(thm)],[d127,c27]) ).
cnf(d132,plain,
( 'e$u491' = 'e$u470'
| i2 = 'i$u490'
| i2 = i0
| i0 = i2 ),
inference(demodulation,[status(thm)],[d131,d56]) ).
cnf(d133,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = i2
| i2 = 'i$u490'
| i2 = i0
| i0 = i2
| 'e$u470' != 'e$u484' ),
inference(superposition,[status(thm)],[d132,d130]) ).
cnf(d134,plain,
( i2 = i0
| i0 = i2
| i2 = 'i$u490'
| i2 = i0
| i0 = i2
| 'e$u470' != 'e$u470' ),
inference(superposition,[status(thm)],[d125,d133]) ).
cnf(d135,plain,
( i2 = 'i$u490'
| i2 = i0
| i0 = i2 ),
inference(equality_resolution,[status(thm)],[d134]) ).
cnf(d136,plain,
( i2 = i0
| i0 = i2
| 'e$u492' = select('a$u489',i2) ),
inference(superposition,[status(thm)],[d135,c28]) ).
cnf(d137,plain,
( 'e$u492' = 'e$u488'
| i2 = i0
| i0 = i2 ),
inference(demodulation,[status(thm)],[d136,d1]) ).
cnf(d138,plain,
( i2 = i0
| i0 = i2
| 'e$u491' != 'e$u488' ),
inference(superposition,[status(thm)],[d137,c30]) ).
cnf(d139,plain,
( i2 = i0
| i0 = i2
| 'e$u491' = select('a$u479',i2) ),
inference(superposition,[status(thm)],[d135,c27]) ).
cnf(d140,plain,
( i2 = i0
| i0 = i2
| i0 = i2
| 'e$u491' = 'e$u476' ),
inference(superposition,[status(thm)],[d139,d70]) ).
cnf(d141,plain,
( i2 = i0
| i0 = i2
| i2 = i0
| i0 = i2
| 'e$u476' != 'e$u488' ),
inference(superposition,[status(thm)],[d140,d138]) ).
cnf(d142,plain,
( i2 = i0
| i0 = i2
| 'a$u483' = store('a$u481',i2,'e$u482') ),
inference(superposition,[status(thm)],[d110,c12]) ).
cnf(d143,plain,
( i2 = i0
| i0 = i2
| i2 = X0
| select('a$u483',X0) = select('a$u481',X0) ),
inference(superposition,[status(thm)],[d142,c1]) ).
cnf(d144,plain,
( i2 = i0
| i2 = X0
| i0 = i2
| i2 = X0
| select('a$u485',X0) = select('a$u481',X0) ),
inference(superposition,[status(thm)],[d143,d26]) ).
cnf(d145,plain,
( i2 = i0
| i2 = i0
| i0 = i2
| 'e$u488' = select('a$u481',i0) ),
inference(superposition,[status(thm)],[d144,c26]) ).
cnf(d146,plain,
( 'e$u488' = 'e$u468'
| i2 = i0
| i0 = i2 ),
inference(demodulation,[status(thm)],[d145,d60]) ).
cnf(d147,plain,
( i2 = i0
| i0 = i2
| i2 = i0
| i0 = i2
| 'e$u476' != 'e$u468' ),
inference(superposition,[status(thm)],[d146,d141]) ).
cnf(d148,plain,
( i2 = i0
| i0 = i2
| 'a$u471' = store('a$u469',i2,'e$u470') ),
inference(superposition,[status(thm)],[d110,c5]) ).
cnf(d149,plain,
( i2 = i0
| i0 = i2
| i2 = X0
| select('a$u471',X0) = select('a$u469',X0) ),
inference(superposition,[status(thm)],[d148,c1]) ).
cnf(d150,plain,
( i2 = i0
| i2 = i0
| i0 = i2
| select('a$u471',i0) = 'e$u468' ),
inference(superposition,[status(thm)],[d149,d77]) ).
cnf(d151,plain,
( i2 = i0
| i0 = i2
| 'a$u473' = store('a$u471',i2,'e$u472') ),
inference(superposition,[status(thm)],[d110,c6]) ).
cnf(d152,plain,
( i2 = i0
| i0 = i2
| i2 = X0
| select('a$u473',X0) = select('a$u471',X0) ),
inference(superposition,[status(thm)],[d151,c1]) ).
cnf(d153,plain,
( i2 = i0
| i2 = X0
| i0 = i2
| i2 = X0
| select('a$u475',X0) = select('a$u471',X0) ),
inference(superposition,[status(thm)],[d152,d14]) ).
cnf(d154,plain,
( i2 = i0
| i2 = i0
| i0 = i2
| 'e$u476' = select('a$u471',i0) ),
inference(superposition,[status(thm)],[d153,c21]) ).
cnf(d155,plain,
( i2 = i0
| i0 = i2
| i2 = i0
| i0 = i2
| 'e$u476' = 'e$u468' ),
inference(superposition,[status(thm)],[d154,d150]) ).
cnf(d156,plain,
( i2 = i0
| i0 = i2
| i2 = i0
| i0 = i2
| 'e$u468' != 'e$u468' ),
inference(superposition,[status(thm)],[d155,d147]) ).
cnf(d157,plain,
( i2 = i0
| i0 = i2 ),
inference(equality_resolution,[status(thm)],[d156]) ).
cnf(d158,plain,
( i2 = i0
| i2 != i2 ),
inference(equality_factoring,[status(thm)],[d157]) ).
cnf(d159,plain,
i2 = i0,
inference(equality_resolution,[status(thm)],[d158]) ).
cnf(d160,plain,
'e$u488' = select('a$u485',i2),
inference(demodulation,[status(thm)],[c26,d159]) ).
cnf(d161,plain,
'e$u488' = 'e$u484',
inference(demodulation,[status(thm)],[d160,d0]) ).
cnf(d162,plain,
select('a$u489',i2) = 'e$u484',
inference(demodulation,[status(thm)],[d1,d161]) ).
cnf(d163,plain,
select('a$u481',i2) = 'e$u468',
inference(demodulation,[status(thm)],[d60,d159]) ).
cnf(d164,plain,
'e$u482' = 'e$u468',
inference(demodulation,[status(thm)],[c23,d163]) ).
cnf(d165,plain,
( i2 = 'i$u490'
| i2 = i3
| 'e$u472' != 'e$u482'
| i2 = 'i$u490' ),
inference(demodulation,[status(thm)],[d41,d159]) ).
cnf(d166,plain,
( i2 = 'i$u490'
| i2 = i3
| 'e$u472' != 'e$u468' ),
inference(demodulation,[status(thm)],[d165,d164]) ).
cnf(d167,plain,
( i3 = i0
| select('a$u471',i2) = 'e$u468' ),
inference(demodulation,[status(thm)],[d78,d159]) ).
cnf(d168,plain,
( i3 = i2
| select('a$u471',i2) = 'e$u468' ),
inference(demodulation,[status(thm)],[d167,d159]) ).
cnf(d169,plain,
( i3 = i2
| 'e$u472' = 'e$u468' ),
inference(demodulation,[status(thm)],[d168,c19]) ).
cnf(d170,plain,
( i3 = i2
| i2 = 'i$u490'
| i2 = i3
| 'e$u468' != 'e$u468' ),
inference(superposition,[status(thm)],[d169,d166]) ).
cnf(d171,plain,
( i2 = 'i$u490'
| i2 = i3
| i3 = i2 ),
inference(equality_resolution,[status(thm)],[d170]) ).
cnf(d172,plain,
( i2 = i3
| i3 = i2
| 'e$u492' = select('a$u489',i2) ),
inference(superposition,[status(thm)],[d171,c28]) ).
cnf(d173,plain,
( 'e$u492' = 'e$u484'
| i2 = i3
| i3 = i2 ),
inference(demodulation,[status(thm)],[d172,d162]) ).
cnf(d174,plain,
( i2 = i3
| i3 = i2
| 'e$u491' != 'e$u484' ),
inference(superposition,[status(thm)],[d173,c30]) ).
cnf(d175,plain,
select('a$u479',i2) = 'e$u470',
inference(demodulation,[status(thm)],[d56,d159]) ).
cnf(d176,plain,
( i2 = i3
| i3 = i2
| 'e$u491' = select('a$u479',i2) ),
inference(superposition,[status(thm)],[d171,c27]) ).
cnf(d177,plain,
( 'e$u491' = 'e$u470'
| i2 = i3
| i3 = i2 ),
inference(demodulation,[status(thm)],[d176,d175]) ).
cnf(d178,plain,
( i2 = i3
| i3 = i2
| i2 = i3
| i3 = i2
| 'e$u470' != 'e$u484' ),
inference(superposition,[status(thm)],[d177,d174]) ).
cnf(d179,plain,
( i2 = i3
| 'e$u484' = 'e$u470' ),
inference(demodulation,[status(thm)],[d63,d159]) ).
cnf(d180,plain,
( i2 = i3
| i2 = i3
| i3 = i2
| 'e$u470' != 'e$u470' ),
inference(superposition,[status(thm)],[d179,d178]) ).
cnf(d181,plain,
( i2 = i3
| i3 = i2 ),
inference(equality_resolution,[status(thm)],[d180]) ).
cnf(d182,plain,
( i2 = i3
| i2 != i2 ),
inference(equality_factoring,[status(thm)],[d181]) ).
cnf(d183,plain,
i2 = i3,
inference(equality_resolution,[status(thm)],[d182]) ).
cnf(d184,plain,
'e$u468' = select('a$u467',i2),
inference(demodulation,[status(thm)],[c17,d183]) ).
cnf(d185,plain,
'e$u470' = select('a$u467',i2),
inference(demodulation,[status(thm)],[c18,d159]) ).
cnf(d186,plain,
'e$u470' = 'e$u468',
inference(demodulation,[status(thm)],[d185,d184]) ).
cnf(d187,plain,
select('a$u479',i2) = 'e$u468',
inference(demodulation,[status(thm)],[d175,d186]) ).
cnf(d188,plain,
( i2 = 'i$u490'
| i3 = 'i$u490'
| i2 = 'i$u490' ),
inference(demodulation,[status(thm)],[d31,d159]) ).
cnf(d189,plain,
( i2 = 'i$u490'
| i2 = 'i$u490' ),
inference(demodulation,[status(thm)],[d188,d183]) ).
cnf(d190,plain,
'e$u491' = select('a$u479',i2),
inference(demodulation,[status(thm)],[c27,d189]) ).
cnf(d191,plain,
'e$u491' = 'e$u468',
inference(demodulation,[status(thm)],[d190,d187]) ).
cnf(d192,plain,
'e$u484' = select('a$u481',i2),
inference(demodulation,[status(thm)],[c24,d183]) ).
cnf(d193,plain,
'e$u484' = 'e$u468',
inference(demodulation,[status(thm)],[d192,d163]) ).
cnf(d194,plain,
select('a$u489',i2) = 'e$u468',
inference(demodulation,[status(thm)],[d162,d193]) ).
cnf(d195,plain,
'e$u492' = select('a$u489',i2),
inference(demodulation,[status(thm)],[c28,d189]) ).
cnf(d196,plain,
'e$u492' = 'e$u468',
inference(demodulation,[status(thm)],[d195,d194]) ).
cnf(d197,plain,
'e$u491' != 'e$u468',
inference(demodulation,[status(thm)],[c30,d196]) ).
cnf(d198,plain,
$false,
inference(resolution,[status(thm)],[d197,d191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV537-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 14:23:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.70/2.38 % SZS status Unsatisfiable for theBenchmark.p
% 7.70/2.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------