%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 09:04:17 AM UTC 2026
% Result : Unsatisfiable 19.67s 13.40s
% Output : CNFRefutation 19.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 40 RR)
% Number of literals : 53 ( 52 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 30 ( 4 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,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)) ).
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(X0,X1,X2) = store(store(X0,X1,X3),X1,X2),
inference(clausification,[status(esa)],[a4]) ).
cnf(c5,plain,
store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)) = store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)),
inference(clausification,[status(esa)],[hyp0]) ).
cnf(c6,plain,
a2 != a1,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,X0) = store(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i4,X0),
inference(superposition,[status(thm)],[c5,c3]) ).
cnf(d1,plain,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,X0) = store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,X0),
inference(demodulation,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
select(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4),
inference(superposition,[status(thm)],[c5,c0]) ).
cnf(d3,plain,
select(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4) = select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4),
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
store(store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(superposition,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
select(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i3) = select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3),
inference(superposition,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3) = select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3),
inference(demodulation,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)) = store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),
inference(superposition,[status(thm)],[d8,c2]) ).
cnf(d10,plain,
store(store(X0,X1,X2),X1,X2) = store(X0,X1,X2),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d11,plain,
store(X0,X1,X2) = store(X0,X1,X2),
inference(demodulation,[status(thm)],[d10,c3]) ).
cnf(d12,plain,
store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),
inference(superposition,[status(thm)],[d6,d11]) ).
cnf(d13,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)) = store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d13,d8]) ).
cnf(d15,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)) = store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),
inference(demodulation,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i2) = select(store(a2,i1,select(a1,i1)),i2),
inference(superposition,[status(thm)],[d15,c0]) ).
cnf(d17,plain,
select(store(a1,i1,select(a2,i1)),i2) = select(store(a2,i1,select(a1,i1)),i2),
inference(demodulation,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)) = store(a1,i1,select(a2,i1)),
inference(superposition,[status(thm)],[d17,c2]) ).
cnf(d19,plain,
store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d6,d8]) ).
cnf(d20,plain,
store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d19,c2]) ).
cnf(d21,plain,
store(store(a2,i1,select(a1,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
store(a2,i1,select(a1,i1)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d21,c2]) ).
cnf(d23,plain,
store(a2,i1,select(a1,i1)) = store(store(a1,i1,select(a2,i1)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d22,d18]) ).
cnf(d24,plain,
store(a2,i1,select(a1,i1)) = store(store(a1,i1,select(a2,i1)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d23,d17]) ).
cnf(d25,plain,
store(a2,i1,select(a1,i1)) = store(store(a1,i1,select(a2,i1)),i3,select(store(a2,i1,select(a1,i1)),i3)),
inference(demodulation,[status(thm)],[d24,c2]) ).
cnf(d26,plain,
X0 = store(X0,X1,select(X0,X1)),
inference(superposition,[status(thm)],[c2,d11]) ).
cnf(d27,plain,
store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(superposition,[status(thm)],[d8,d26]) ).
cnf(d28,plain,
store(a1,i1,select(a2,i1)) = store(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d27,d18]) ).
cnf(d29,plain,
store(a1,i1,select(a2,i1)) = store(store(a1,i1,select(a2,i1)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d28,d18]) ).
cnf(d30,plain,
store(a1,i1,select(a2,i1)) = store(store(a1,i1,select(a2,i1)),i3,select(store(store(a2,i1,select(a1,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),
inference(demodulation,[status(thm)],[d29,d17]) ).
cnf(d31,plain,
store(a1,i1,select(a2,i1)) = store(store(a1,i1,select(a2,i1)),i3,select(store(a2,i1,select(a1,i1)),i3)),
inference(demodulation,[status(thm)],[d30,c2]) ).
cnf(d32,plain,
store(a1,i1,select(a2,i1)) = store(a2,i1,select(a1,i1)),
inference(demodulation,[status(thm)],[d31,d25]) ).
cnf(d33,plain,
select(store(a2,i1,select(a1,i1)),i1) = select(a2,i1),
inference(superposition,[status(thm)],[d32,c0]) ).
cnf(d34,plain,
select(a1,i1) = select(a2,i1),
inference(demodulation,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
store(a1,i1,select(a2,i1)) = a1,
inference(superposition,[status(thm)],[d34,c2]) ).
cnf(d36,plain,
store(a1,i1,select(a2,i1)) = store(a2,i1,select(a2,i1)),
inference(demodulation,[status(thm)],[d32,d34]) ).
cnf(d37,plain,
a1 = store(a2,i1,select(a2,i1)),
inference(demodulation,[status(thm)],[d36,d35]) ).
cnf(d38,plain,
a1 = a2,
inference(demodulation,[status(thm)],[d37,c2]) ).
cnf(d39,plain,
a2 != a2,
inference(demodulation,[status(thm)],[c6,d38]) ).
cnf(d40,plain,
select(store(store(store(store(a2,i1,select(a1,i1)),i2,select(store(a1,i1,select(a2,i1)),i2)),i3,select(store(store(a1,i1,select(a2,i1)),i2,select(store(a2,i1,select(a1,i1)),i2)),i3)),i4,X0),i4) = X0,
inference(superposition,[status(thm)],[d1,c0]) ).
cnf(d41,plain,
X0 = X0,
inference(demodulation,[status(thm)],[d40,c0]) ).
cnf(d42,plain,
$false,
inference(resolution,[status(thm)],[d41,d39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV557-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.39 % Computer : n013.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Sat Sep 26 14:25:51 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.67/13.40 % SZS status Unsatisfiable for theBenchmark.p
% 19.67/13.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------