%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV558-1.004 : 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 : n003.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 09:04:18 AM UTC 2026
% Result : Unsatisfiable 21.64s 3.32s
% Output : CNFRefutation 21.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 21
% Syntax : Number of clauses : 112 ( 112 unt; 0 nHn; 95 RR)
% Number of literals : 112 ( 111 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-3 aty)
% Number of variables : 41 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
select(store(X0,X1,X2),X1) = X2 ).
cnf(a3,axiom,
store(X0,X1,select(X0,X1)) = X0 ).
cnf(a4,axiom,
store(store(X0,X1,X2),X1,X3) = store(X0,X1,X3) ).
cnf(hyp0,hypothesis,
'a$u17' = store(a1,i1,'e$u16') ).
cnf(hyp1,hypothesis,
'a$u19' = store(a2,i1,'e$u18') ).
cnf(hyp2,hypothesis,
'a$u21' = store('a$u17',i2,'e$u20') ).
cnf(hyp3,hypothesis,
'a$u23' = store('a$u19',i2,'e$u22') ).
cnf(hyp4,hypothesis,
'a$u25' = store('a$u21',i3,'e$u24') ).
cnf(hyp5,hypothesis,
'a$u27' = store('a$u23',i3,'e$u26') ).
cnf(hyp6,hypothesis,
'a$u29' = store('a$u25',i4,'e$u28') ).
cnf(hyp7,hypothesis,
'a$u31' = store('a$u27',i4,'e$u30') ).
cnf(hyp8,hypothesis,
'e$u16' = select(a2,i1) ).
cnf(hyp9,hypothesis,
'e$u18' = select(a1,i1) ).
cnf(hyp10,hypothesis,
'e$u20' = select('a$u19',i2) ).
cnf(hyp11,hypothesis,
'e$u22' = select('a$u17',i2) ).
cnf(hyp12,hypothesis,
'e$u24' = select('a$u23',i3) ).
cnf(hyp13,hypothesis,
'e$u26' = select('a$u21',i3) ).
cnf(hyp14,hypothesis,
'e$u28' = select('a$u27',i4) ).
cnf(hyp15,hypothesis,
'e$u30' = select('a$u25',i4) ).
cnf(hyp16,hypothesis,
'a$u29' = 'a$u31' ).
cnf(goal,negated_conjecture,
a1 != a2 ).
cnf(c0,plain,
select(store(X0,X1,X2),X1) = X2,
inference(clausification,[status(esa)],[a1]) ).
cnf(c2,plain,
store(X0,X1,select(X0,X1)) = X0,
inference(clausification,[status(esa)],[a3]) ).
cnf(c3,plain,
store(store(X0,X1,X2),X1,X3) = store(X0,X1,X3),
inference(clausification,[status(esa)],[a4]) ).
cnf(c5,plain,
'a$u17' = store(a1,i1,'e$u16'),
inference(clausification,[status(esa)],[hyp0]) ).
cnf(c6,plain,
'a$u19' = store(a2,i1,'e$u18'),
inference(clausification,[status(esa)],[hyp1]) ).
cnf(c7,plain,
'a$u21' = store('a$u17',i2,'e$u20'),
inference(clausification,[status(esa)],[hyp2]) ).
cnf(c8,plain,
'a$u23' = store('a$u19',i2,'e$u22'),
inference(clausification,[status(esa)],[hyp3]) ).
cnf(c9,plain,
'a$u25' = store('a$u21',i3,'e$u24'),
inference(clausification,[status(esa)],[hyp4]) ).
cnf(c10,plain,
'a$u27' = store('a$u23',i3,'e$u26'),
inference(clausification,[status(esa)],[hyp5]) ).
cnf(c11,plain,
'a$u29' = store('a$u25',i4,'e$u28'),
inference(clausification,[status(esa)],[hyp6]) ).
cnf(c12,plain,
'a$u31' = store('a$u27',i4,'e$u30'),
inference(clausification,[status(esa)],[hyp7]) ).
cnf(c13,plain,
'e$u16' = select(a2,i1),
inference(clausification,[status(esa)],[hyp8]) ).
cnf(c14,plain,
'e$u18' = select(a1,i1),
inference(clausification,[status(esa)],[hyp9]) ).
cnf(c15,plain,
'e$u20' = select('a$u19',i2),
inference(clausification,[status(esa)],[hyp10]) ).
cnf(c16,plain,
'e$u22' = select('a$u17',i2),
inference(clausification,[status(esa)],[hyp11]) ).
cnf(c17,plain,
'e$u24' = select('a$u23',i3),
inference(clausification,[status(esa)],[hyp12]) ).
cnf(c18,plain,
'e$u26' = select('a$u21',i3),
inference(clausification,[status(esa)],[hyp13]) ).
cnf(c19,plain,
'e$u28' = select('a$u27',i4),
inference(clausification,[status(esa)],[hyp14]) ).
cnf(c20,plain,
'e$u30' = select('a$u25',i4),
inference(clausification,[status(esa)],[hyp15]) ).
cnf(c21,plain,
'a$u29' = 'a$u31',
inference(clausification,[status(esa)],[hyp16]) ).
cnf(c22,plain,
a1 != a2,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
select('a$u17',i1) = 'e$u16',
inference(superposition,[status(thm)],[c5,c0]) ).
cnf(d1,plain,
store('a$u17',i1,'e$u16') = 'a$u17',
inference(superposition,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
select('a$u21',i2) = 'e$u20',
inference(superposition,[status(thm)],[c7,c0]) ).
cnf(d3,plain,
select('a$u25',i3) = 'e$u24',
inference(superposition,[status(thm)],[c9,c0]) ).
cnf(d4,plain,
select('a$u29',i4) = 'e$u28',
inference(superposition,[status(thm)],[c11,c0]) ).
cnf(d5,plain,
'a$u29' = store('a$u27',i4,'e$u30'),
inference(demodulation,[status(thm)],[c12,c21]) ).
cnf(d6,plain,
select('a$u29',i4) = 'e$u30',
inference(superposition,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
'e$u28' = 'e$u30',
inference(demodulation,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
store('a$u25',i4,'e$u30') = 'a$u25',
inference(superposition,[status(thm)],[c20,c2]) ).
cnf(d9,plain,
store('a$u25',i4,'e$u28') = 'a$u25',
inference(demodulation,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
'a$u29' = 'a$u25',
inference(demodulation,[status(thm)],[c11,d9]) ).
cnf(d11,plain,
store(store(X0,X1,X2),X1,X2) = store(X0,X1,X2),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d12,plain,
store(X0,X1,X2) = store(X0,X1,X2),
inference(demodulation,[status(thm)],[d11,c3]) ).
cnf(d13,plain,
'a$u29' = store('a$u27',i4,'e$u30'),
inference(superposition,[status(thm)],[d5,d12]) ).
cnf(d14,plain,
'a$u25' = store('a$u27',i4,'e$u30'),
inference(demodulation,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
'a$u25' = store('a$u27',i4,'e$u28'),
inference(demodulation,[status(thm)],[d14,d7]) ).
cnf(d16,plain,
store('a$u27',i4,'e$u28') = 'a$u27',
inference(superposition,[status(thm)],[c19,c2]) ).
cnf(d17,plain,
'a$u25' = 'a$u27',
inference(demodulation,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
select('a$u27',i3) = 'e$u26',
inference(superposition,[status(thm)],[c10,c0]) ).
cnf(d19,plain,
select('a$u25',i3) = 'e$u26',
inference(demodulation,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
'e$u24' = 'e$u26',
inference(demodulation,[status(thm)],[d19,d3]) ).
cnf(d21,plain,
store('a$u21',i3,'e$u26') = 'a$u21',
inference(superposition,[status(thm)],[c18,c2]) ).
cnf(d22,plain,
store('a$u21',i3,'e$u26') = 'a$u21',
inference(superposition,[status(thm)],[d21,d12]) ).
cnf(d23,plain,
store('a$u21',i3,'e$u24') = 'a$u21',
inference(demodulation,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
store('a$u23',i3,'e$u24') = 'a$u23',
inference(superposition,[status(thm)],[c17,c2]) ).
cnf(d25,plain,
store('a$u23',i3,'e$u26') = 'a$u27',
inference(superposition,[status(thm)],[c10,d12]) ).
cnf(d26,plain,
store('a$u23',i3,'e$u24') = 'a$u27',
inference(demodulation,[status(thm)],[d25,d20]) ).
cnf(d27,plain,
'a$u23' = 'a$u27',
inference(demodulation,[status(thm)],[d26,d24]) ).
cnf(d28,plain,
'a$u25' = 'a$u23',
inference(demodulation,[status(thm)],[d17,d27]) ).
cnf(d29,plain,
store('a$u21',i3,'e$u24') = 'a$u25',
inference(superposition,[status(thm)],[c9,d12]) ).
cnf(d30,plain,
store('a$u21',i3,'e$u24') = 'a$u23',
inference(demodulation,[status(thm)],[d29,d28]) ).
cnf(d31,plain,
'a$u21' = 'a$u23',
inference(demodulation,[status(thm)],[d30,d23]) ).
cnf(d32,plain,
select('a$u23',i2) = 'e$u22',
inference(superposition,[status(thm)],[c8,c0]) ).
cnf(d33,plain,
select('a$u21',i2) = 'e$u22',
inference(demodulation,[status(thm)],[d32,d31]) ).
cnf(d34,plain,
'e$u20' = 'e$u22',
inference(demodulation,[status(thm)],[d33,d2]) ).
cnf(d35,plain,
store('a$u17',i2,'e$u22') = 'a$u17',
inference(superposition,[status(thm)],[c16,c2]) ).
cnf(d36,plain,
'a$u17' = store('a$u17',i2,'e$u22'),
inference(superposition,[status(thm)],[d35,d12]) ).
cnf(d37,plain,
store('a$u17',i2,'e$u22') = 'a$u17',
inference(superposition,[status(thm)],[d36,d12]) ).
cnf(d38,plain,
store('a$u17',i2,'e$u20') = 'a$u17',
inference(demodulation,[status(thm)],[d37,d34]) ).
cnf(d39,plain,
store('a$u21',i2,X0) = store('a$u17',i2,X0),
inference(superposition,[status(thm)],[c7,c3]) ).
cnf(d40,plain,
store(store(X0,X1,X3),X1,X4) = store(store(X0,X1,X2),X1,X4),
inference(superposition,[status(thm)],[c3,c3]) ).
cnf(d41,plain,
store(X0,X1,X3) = store(store(X0,X1,X4),X1,X3),
inference(demodulation,[status(thm)],[d40,c3]) ).
cnf(d42,plain,
store('a$u19',i2,X0) = store('a$u23',i2,X0),
inference(superposition,[status(thm)],[c8,d41]) ).
cnf(d43,plain,
store('a$u19',i2,X0) = store('a$u21',i2,X0),
inference(demodulation,[status(thm)],[d42,d31]) ).
cnf(d44,plain,
store('a$u19',i2,X0) = store('a$u17',i2,X0),
inference(demodulation,[status(thm)],[d43,d39]) ).
cnf(d45,plain,
store('a$u19',i2,'e$u20') = 'a$u19',
inference(superposition,[status(thm)],[c15,c2]) ).
cnf(d46,plain,
'a$u19' = store('a$u19',i2,'e$u20'),
inference(superposition,[status(thm)],[d45,d12]) ).
cnf(d47,plain,
'a$u19' = store('a$u19',i2,'e$u20'),
inference(superposition,[status(thm)],[d46,d12]) ).
cnf(d48,plain,
'a$u19' = store('a$u17',i2,'e$u20'),
inference(demodulation,[status(thm)],[d47,d44]) ).
cnf(d49,plain,
'a$u19' = 'a$u17',
inference(demodulation,[status(thm)],[d48,d38]) ).
cnf(d50,plain,
store('a$u19',i1,X0) = store(a2,i1,X0),
inference(superposition,[status(thm)],[c6,c3]) ).
cnf(d51,plain,
store(a2,i1,'e$u16') = a2,
inference(superposition,[status(thm)],[c13,c2]) ).
cnf(d52,plain,
a2 = store(a2,i1,'e$u16'),
inference(superposition,[status(thm)],[d51,d12]) ).
cnf(d53,plain,
a2 = store('a$u19',i1,'e$u16'),
inference(demodulation,[status(thm)],[d52,d50]) ).
cnf(d54,plain,
a2 = store('a$u17',i1,'e$u16'),
inference(demodulation,[status(thm)],[d53,d49]) ).
cnf(d55,plain,
a2 = 'a$u17',
inference(demodulation,[status(thm)],[d54,d1]) ).
cnf(d56,plain,
select('a$u19',i1) = 'e$u18',
inference(superposition,[status(thm)],[c6,c0]) ).
cnf(d57,plain,
select('a$u17',i1) = 'e$u18',
inference(demodulation,[status(thm)],[d56,d49]) ).
cnf(d58,plain,
'e$u16' = 'e$u18',
inference(demodulation,[status(thm)],[d57,d0]) ).
cnf(d59,plain,
store('a$u17',i1,X0) = store(a1,i1,X0),
inference(superposition,[status(thm)],[c5,c3]) ).
cnf(d60,plain,
X0 = store(X0,X1,select(X0,X1)),
inference(superposition,[status(thm)],[c2,d12]) ).
cnf(d61,plain,
store(a1,i1,'e$u18') = a1,
inference(superposition,[status(thm)],[c14,c2]) ).
cnf(d62,plain,
select(a1,i1) = 'e$u18',
inference(superposition,[status(thm)],[d61,c0]) ).
cnf(d63,plain,
a1 = store(a1,i1,'e$u18'),
inference(superposition,[status(thm)],[d62,d60]) ).
cnf(d64,plain,
a1 = store('a$u17',i1,'e$u18'),
inference(demodulation,[status(thm)],[d63,d59]) ).
cnf(d65,plain,
a1 = store('a$u17',i1,'e$u16'),
inference(demodulation,[status(thm)],[d64,d58]) ).
cnf(d66,plain,
a1 = 'a$u17',
inference(demodulation,[status(thm)],[d65,d1]) ).
cnf(d67,plain,
'a$u17' != a2,
inference(demodulation,[status(thm)],[c22,d66]) ).
cnf(d68,plain,
'a$u17' != 'a$u17',
inference(demodulation,[status(thm)],[d67,d55]) ).
cnf(d69,plain,
$false,
inference(equality_resolution,[status(thm)],[d68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV558-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 14:28:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.64/3.32 % SZS status Unsatisfiable for theBenchmark.p
% 21.64/3.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------