%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW410-1 : TPTP v9.3.1. Released v5.2.0.
% 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 09:11:50 AM UTC 2026
% Result : Unsatisfiable 57.73s 9.91s
% Output : CNFRefutation 57.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of clauses : 41 ( 25 unt; 13 nHn; 31 RR)
% Number of literals : 65 ( 26 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_3,hypothesis,
x1 != x3 ).
cnf(premise_5,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))) ).
cnf(associative_commutative,axiom,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)) ).
cnf(normalization,axiom,
sep(lseg(X0,X0),X1) = X1 ).
cnf(unfolding_2,axiom,
( heap(sep(lseg(X0,X2),X3))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ) ).
cnf(unfolding_3,axiom,
( heap(sep(lseg(X0,nil),X2))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2))) ) ).
cnf(unfolding_5,axiom,
( heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| X2 = X3
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4)))) ) ).
cnf(c2,plain,
x1 != x3,
inference(clausification,[status(esa)],[premise_3]) ).
cnf(c4,plain,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
inference(clausification,[status(esa)],[premise_5]) ).
cnf(c5,plain,
~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))),
inference(clausification,[status(esa)],[conclusion_1]) ).
cnf(c6,plain,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(clausification,[status(esa)],[associative_commutative]) ).
cnf(c7,plain,
sep(lseg(X0,X0),X1) = X1,
inference(clausification,[status(esa)],[normalization]) ).
cnf(c13,plain,
( heap(sep(lseg(X0,X2),X3))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ),
inference(clausification,[status(esa)],[unfolding_2]) ).
cnf(c14,plain,
( heap(sep(lseg(X0,nil),X2))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2))) ),
inference(clausification,[status(esa)],[unfolding_3]) ).
cnf(c16,plain,
( heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| X2 = X3
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4)))) ),
inference(clausification,[status(esa)],[unfolding_5]) ).
cnf(d0,plain,
heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))),
inference(demodulation,[status(thm)],[c4,c6]) ).
cnf(d1,plain,
sep(X1,sep(lseg(X0,X0),X2)) = sep(X1,X2),
inference(superposition,[status(thm)],[c6,c7]) ).
cnf(d2,plain,
sep(X2,X1) = sep(X2,X1),
inference(demodulation,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
X1 = sep(lseg(X0,X0),X1),
inference(superposition,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
( heap(sep(lseg(X2,X0),X1))
| X2 = X0
| ~ heap(sep(next(X2,X0),X1)) ),
inference(superposition,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
inference(superposition,[status(thm)],[c6,c6]) ).
cnf(d6,plain,
( heap(sep(lseg(X0,X1),sep(X2,sep(X3,X4))))
| X0 = X1
| ~ heap(sep(X2,sep(X3,sep(next(X0,X1),X4)))) ),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( heap(sep(lseg(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))))
| x1 = x3 ),
inference(resolution,[status(thm)],[d6,d0]) ).
cnf(d8,plain,
( heap(sep(lseg(x3,nil),sep(lseg(x1,x3),sep(lseg(x2,x1),emp))))
| x1 = x3 ),
inference(demodulation,[status(thm)],[d7,c6]) ).
cnf(d9,plain,
heap(sep(lseg(x3,nil),sep(lseg(x1,x3),sep(lseg(x2,x1),emp)))),
inference(resolution,[status(thm)],[c2,d8]) ).
cnf(d10,plain,
sep(X3,sep(X1,sep(X0,X2))) = sep(X0,sep(X3,sep(X1,X2))),
inference(superposition,[status(thm)],[c6,c6]) ).
cnf(d11,plain,
sep(X2,sep(X0,sep(X1,X3))) = sep(X1,sep(X0,sep(X2,X3))),
inference(superposition,[status(thm)],[d10,c6]) ).
cnf(d12,plain,
( heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| X2 = X3
| ~ heap(sep(lseg(X2,X3),sep(lseg(X1,X2),sep(lseg(X0,X1),X4)))) ),
inference(superposition,[status(thm)],[d11,c16]) ).
cnf(d13,plain,
( heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))
| x3 = nil ),
inference(resolution,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
( heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp)))
| x3 = nil ),
inference(demodulation,[status(thm)],[d13,c6]) ).
cnf(d15,plain,
x3 = nil,
inference(resolution,[status(thm)],[c5,d14]) ).
cnf(d16,plain,
~ heap(sep(lseg(nil,nil),sep(lseg(x2,x3),emp))),
inference(demodulation,[status(thm)],[c5,d15]) ).
cnf(d17,plain,
~ heap(sep(lseg(nil,nil),sep(lseg(x2,nil),emp))),
inference(demodulation,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(demodulation,[status(thm)],[d17,c7]) ).
cnf(d19,plain,
( heap(sep(lseg(X0,nil),X2))
| ~ heap(sep(lseg(X1,nil),sep(lseg(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c6,c14]) ).
cnf(d20,plain,
( heap(sep(lseg(X0,X2),sep(X3,X4)))
| X0 = X1
| ~ heap(sep(lseg(X1,X2),sep(X3,sep(next(X0,X1),X4)))) ),
inference(superposition,[status(thm)],[d10,c13]) ).
cnf(d21,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| x1 = x3 ),
inference(resolution,[status(thm)],[d20,d0]) ).
cnf(d22,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))),
inference(resolution,[status(thm)],[c2,d21]) ).
cnf(d23,plain,
heap(sep(lseg(x2,nil),emp)),
inference(resolution,[status(thm)],[d22,d19]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[d23,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW410-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n003.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 26 15:52:10 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.73/9.91 % SZS status Unsatisfiable for theBenchmark.p
% 57.73/9.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------