%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV543-1.004 : 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 : n011.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 09:03:24 AM UTC 2026
% Result : Unsatisfiable 69.39s 9.33s
% Output : CNFRefutation 69.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of clauses : 105 ( 105 unt; 0 nHn; 89 RR)
% Number of literals : 105 ( 104 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 26 con; 0-3 aty)
% Number of variables : 29 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(X0,X1,X2),X1) = X2 ).
cnf(a3,axiom,
store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)) = store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)) ).
cnf(hyp2,hypothesis,
'a$u420' = store('a$u418',i0,'e$u419') ).
cnf(hyp3,hypothesis,
'a$u422' = store('a$u420',i3,'e$u421') ).
cnf(hyp4,hypothesis,
'a$u424' = store('a$u422',i3,'e$u423') ).
cnf(hyp5,hypothesis,
'a$u426' = store('a$u424',i2,'e$u425') ).
cnf(hyp6,hypothesis,
'a$u428' = store('a$u426',i2,'e$u427') ).
cnf(hyp7,hypothesis,
'a$u430' = store('a$u428',i0,'e$u429') ).
cnf(hyp8,hypothesis,
'a$u431' = store('a$u418',i3,'e$u421') ).
cnf(hyp9,hypothesis,
'a$u432' = store('a$u431',i0,'e$u419') ).
cnf(hyp10,hypothesis,
'a$u434' = store('a$u432',i3,'e$u433') ).
cnf(hyp11,hypothesis,
'a$u436' = store('a$u434',i2,'e$u435') ).
cnf(hyp12,hypothesis,
'a$u438' = store('a$u436',i0,'e$u437') ).
cnf(hyp13,hypothesis,
'a$u440' = store('a$u438',i2,'e$u439') ).
cnf(hyp15,hypothesis,
'e$u419' = select('a$u418',i3) ).
cnf(hyp16,hypothesis,
'e$u421' = select('a$u418',i0) ).
cnf(hyp17,hypothesis,
'e$u423' = select('a$u422',i2) ).
cnf(hyp18,hypothesis,
'e$u425' = select('a$u422',i3) ).
cnf(hyp19,hypothesis,
'e$u427' = select('a$u426',i0) ).
cnf(hyp20,hypothesis,
'e$u429' = select('a$u426',i2) ).
cnf(hyp21,hypothesis,
'e$u433' = select('a$u432',i2) ).
cnf(hyp22,hypothesis,
'e$u435' = select('a$u432',i3) ).
cnf(hyp23,hypothesis,
'e$u437' = select('a$u436',i2) ).
cnf(hyp24,hypothesis,
'e$u439' = select('a$u436',i0) ).
cnf(goal,negated_conjecture,
'a$u430' != 'a$u440' ).
cnf(c0,plain,
select(store(X0,X1,X2),X1) = X2,
inference(clausification,[status(esa)],[a1]) ).
cnf(c2,plain,
store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)) = store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),
inference(clausification,[status(esa)],[a3]) ).
cnf(c5,plain,
store('a$u418',i0,'e$u419') = 'a$u420',
inference(clausification,[status(esa)],[hyp2]) ).
cnf(c6,plain,
store('a$u420',i3,'e$u421') = 'a$u422',
inference(clausification,[status(esa)],[hyp3]) ).
cnf(c7,plain,
store('a$u422',i3,'e$u423') = 'a$u424',
inference(clausification,[status(esa)],[hyp4]) ).
cnf(c8,plain,
store('a$u424',i2,'e$u425') = 'a$u426',
inference(clausification,[status(esa)],[hyp5]) ).
cnf(c9,plain,
store('a$u426',i2,'e$u427') = 'a$u428',
inference(clausification,[status(esa)],[hyp6]) ).
cnf(c10,plain,
store('a$u428',i0,'e$u429') = 'a$u430',
inference(clausification,[status(esa)],[hyp7]) ).
cnf(c11,plain,
store('a$u418',i3,'e$u421') = 'a$u431',
inference(clausification,[status(esa)],[hyp8]) ).
cnf(c12,plain,
store('a$u431',i0,'e$u419') = 'a$u432',
inference(clausification,[status(esa)],[hyp9]) ).
cnf(c13,plain,
store('a$u432',i3,'e$u433') = 'a$u434',
inference(clausification,[status(esa)],[hyp10]) ).
cnf(c14,plain,
store('a$u434',i2,'e$u435') = 'a$u436',
inference(clausification,[status(esa)],[hyp11]) ).
cnf(c15,plain,
store('a$u436',i0,'e$u437') = 'a$u438',
inference(clausification,[status(esa)],[hyp12]) ).
cnf(c16,plain,
store('a$u438',i2,'e$u439') = 'a$u440',
inference(clausification,[status(esa)],[hyp13]) ).
cnf(c18,plain,
select('a$u418',i3) = 'e$u419',
inference(clausification,[status(esa)],[hyp15]) ).
cnf(c19,plain,
select('a$u418',i0) = 'e$u421',
inference(clausification,[status(esa)],[hyp16]) ).
cnf(c20,plain,
select('a$u422',i2) = 'e$u423',
inference(clausification,[status(esa)],[hyp17]) ).
cnf(c21,plain,
select('a$u422',i3) = 'e$u425',
inference(clausification,[status(esa)],[hyp18]) ).
cnf(c22,plain,
select('a$u426',i0) = 'e$u427',
inference(clausification,[status(esa)],[hyp19]) ).
cnf(c23,plain,
select('a$u426',i2) = 'e$u429',
inference(clausification,[status(esa)],[hyp20]) ).
cnf(c24,plain,
select('a$u432',i2) = 'e$u433',
inference(clausification,[status(esa)],[hyp21]) ).
cnf(c25,plain,
select('a$u432',i3) = 'e$u435',
inference(clausification,[status(esa)],[hyp22]) ).
cnf(c26,plain,
select('a$u436',i2) = 'e$u437',
inference(clausification,[status(esa)],[hyp23]) ).
cnf(c27,plain,
select('a$u436',i0) = 'e$u439',
inference(clausification,[status(esa)],[hyp24]) ).
cnf(c28,plain,
'a$u440' != 'a$u430',
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
select('a$u422',i3) = 'e$u421',
inference(superposition,[status(thm)],[c6,c0]) ).
cnf(d1,plain,
'e$u421' = 'e$u425',
inference(demodulation,[status(thm)],[c21,d0]) ).
cnf(d2,plain,
store('a$u424',i2,'e$u421') = 'a$u426',
inference(demodulation,[status(thm)],[c8,d1]) ).
cnf(d3,plain,
store(store('a$u418',X0,'e$u419'),i3,select('a$u418',X0)) = store(store('a$u418',i3,select('a$u418',X0)),X0,select('a$u418',i3)),
inference(superposition,[status(thm)],[c18,c2]) ).
cnf(d4,plain,
store(store('a$u418',X0,'e$u419'),i3,select('a$u418',X0)) = store(store('a$u418',i3,select('a$u418',X0)),X0,'e$u419'),
inference(demodulation,[status(thm)],[d3,c18]) ).
cnf(d5,plain,
store(store('a$u418',i0,'e$u419'),i3,select('a$u418',i0)) = store(store('a$u418',i3,'e$u421'),i0,'e$u419'),
inference(superposition,[status(thm)],[c19,d4]) ).
cnf(d6,plain,
store('a$u420',i3,select('a$u418',i0)) = store(store('a$u418',i3,'e$u421'),i0,'e$u419'),
inference(demodulation,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
store('a$u420',i3,'e$u421') = store(store('a$u418',i3,'e$u421'),i0,'e$u419'),
inference(demodulation,[status(thm)],[d6,c19]) ).
cnf(d8,plain,
'a$u422' = store(store('a$u418',i3,'e$u421'),i0,'e$u419'),
inference(demodulation,[status(thm)],[d7,c6]) ).
cnf(d9,plain,
'a$u422' = store('a$u431',i0,'e$u419'),
inference(demodulation,[status(thm)],[d8,c11]) ).
cnf(d10,plain,
'a$u422' = 'a$u432',
inference(demodulation,[status(thm)],[c12,d9]) ).
cnf(d11,plain,
select(store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),X2) = select(X0,X1),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d12,plain,
select(store(store('a$u432',X0,'e$u433'),i2,select('a$u432',X0)),X0) = select('a$u432',i2),
inference(superposition,[status(thm)],[c24,d11]) ).
cnf(d13,plain,
select(store(store('a$u432',X0,'e$u433'),i2,select('a$u432',X0)),X0) = 'e$u433',
inference(demodulation,[status(thm)],[d12,c24]) ).
cnf(d14,plain,
select('a$u432',i2) = 'e$u433',
inference(superposition,[status(thm)],[c0,d13]) ).
cnf(d15,plain,
select('a$u422',i2) = 'e$u433',
inference(demodulation,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
'e$u423' = 'e$u433',
inference(demodulation,[status(thm)],[d15,c20]) ).
cnf(d17,plain,
store('a$u422',i3,'e$u433') = 'a$u434',
inference(demodulation,[status(thm)],[c13,d10]) ).
cnf(d18,plain,
store('a$u422',i3,'e$u423') = 'a$u434',
inference(demodulation,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
'a$u424' = 'a$u434',
inference(demodulation,[status(thm)],[d18,c7]) ).
cnf(d20,plain,
store(store('a$u418',X0,'e$u421'),i0,select('a$u418',X0)) = store(store('a$u418',i0,select('a$u418',X0)),X0,select('a$u418',i0)),
inference(superposition,[status(thm)],[c19,c2]) ).
cnf(d21,plain,
store(store('a$u418',X0,'e$u421'),i0,select('a$u418',X0)) = store(store('a$u418',i0,select('a$u418',X0)),X0,'e$u421'),
inference(demodulation,[status(thm)],[d20,c19]) ).
cnf(d22,plain,
select(store(store('a$u418',X0,'e$u421'),i0,select('a$u418',X0)),X0) = 'e$u421',
inference(superposition,[status(thm)],[d21,c0]) ).
cnf(d23,plain,
select(store('a$u431',i0,select('a$u418',i3)),i3) = 'e$u421',
inference(superposition,[status(thm)],[c11,d22]) ).
cnf(d24,plain,
select(store('a$u431',i0,'e$u419'),i3) = 'e$u421',
inference(demodulation,[status(thm)],[d23,c18]) ).
cnf(d25,plain,
select('a$u432',i3) = 'e$u421',
inference(demodulation,[status(thm)],[d24,c12]) ).
cnf(d26,plain,
'e$u421' = 'e$u435',
inference(demodulation,[status(thm)],[c25,d25]) ).
cnf(d27,plain,
store('a$u434',i2,'e$u421') = 'a$u436',
inference(demodulation,[status(thm)],[c14,d26]) ).
cnf(d28,plain,
store('a$u424',i2,'e$u421') = 'a$u436',
inference(demodulation,[status(thm)],[d27,d19]) ).
cnf(d29,plain,
'a$u426' = 'a$u436',
inference(demodulation,[status(thm)],[d28,d2]) ).
cnf(d30,plain,
select('a$u436',i2) = 'e$u435',
inference(superposition,[status(thm)],[c14,c0]) ).
cnf(d31,plain,
'e$u435' = 'e$u437',
inference(demodulation,[status(thm)],[c26,d30]) ).
cnf(d32,plain,
store('a$u436',i0,'e$u435') = 'a$u438',
inference(demodulation,[status(thm)],[c15,d31]) ).
cnf(d33,plain,
store('a$u436',i0,'e$u421') = 'a$u438',
inference(demodulation,[status(thm)],[d32,d26]) ).
cnf(d34,plain,
store('a$u426',i0,'e$u421') = 'a$u438',
inference(demodulation,[status(thm)],[d33,d29]) ).
cnf(d35,plain,
select('a$u426',i2) = 'e$u425',
inference(superposition,[status(thm)],[c8,c0]) ).
cnf(d36,plain,
select('a$u426',i2) = 'e$u421',
inference(demodulation,[status(thm)],[d35,d1]) ).
cnf(d37,plain,
'e$u421' = 'e$u429',
inference(demodulation,[status(thm)],[c23,d36]) ).
cnf(d38,plain,
store('a$u428',i0,'e$u421') = 'a$u430',
inference(demodulation,[status(thm)],[c10,d37]) ).
cnf(d39,plain,
store(store('a$u426',X0,'e$u427'),i0,select('a$u426',X0)) = store(store('a$u426',i0,select('a$u426',X0)),X0,select('a$u426',i0)),
inference(superposition,[status(thm)],[c22,c2]) ).
cnf(d40,plain,
store(store('a$u426',X0,'e$u427'),i0,select('a$u426',X0)) = store(store('a$u426',i0,select('a$u426',X0)),X0,'e$u427'),
inference(demodulation,[status(thm)],[d39,c22]) ).
cnf(d41,plain,
store(store('a$u426',i2,'e$u427'),i0,select('a$u426',i2)) = store(store('a$u426',i0,'e$u421'),i2,'e$u427'),
inference(superposition,[status(thm)],[d36,d40]) ).
cnf(d42,plain,
store('a$u428',i0,select('a$u426',i2)) = store(store('a$u426',i0,'e$u421'),i2,'e$u427'),
inference(demodulation,[status(thm)],[d41,c9]) ).
cnf(d43,plain,
store('a$u428',i0,'e$u421') = store(store('a$u426',i0,'e$u421'),i2,'e$u427'),
inference(demodulation,[status(thm)],[d42,d36]) ).
cnf(d44,plain,
'a$u430' = store(store('a$u426',i0,'e$u421'),i2,'e$u427'),
inference(demodulation,[status(thm)],[d43,d38]) ).
cnf(d45,plain,
'a$u430' = store('a$u438',i2,'e$u427'),
inference(demodulation,[status(thm)],[d44,d34]) ).
cnf(d46,plain,
select(store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),X1) = select(X0,X2),
inference(superposition,[status(thm)],[c2,d11]) ).
cnf(d47,plain,
select(X0,X1) = select(X0,X1),
inference(demodulation,[status(thm)],[d46,c0]) ).
cnf(d48,plain,
'e$u439' = select('a$u436',i0),
inference(superposition,[status(thm)],[c27,d47]) ).
cnf(d49,plain,
'e$u439' = select('a$u426',i0),
inference(demodulation,[status(thm)],[d48,d29]) ).
cnf(d50,plain,
'e$u439' = 'e$u427',
inference(demodulation,[status(thm)],[d49,c22]) ).
cnf(d51,plain,
store('a$u438',i2,'e$u427') = 'a$u440',
inference(demodulation,[status(thm)],[c16,d50]) ).
cnf(d52,plain,
'a$u430' = 'a$u440',
inference(demodulation,[status(thm)],[d51,d45]) ).
cnf(d53,plain,
'a$u430' != 'a$u430',
inference(demodulation,[status(thm)],[c28,d52]) ).
cnf(d54,plain,
$false,
inference(equality_resolution,[status(thm)],[d53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV543-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n011.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sat Sep 26 14:21:30 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.39/9.33 % SZS status Unsatisfiable for theBenchmark.p
% 69.39/9.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------