%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW407-1 : 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 : n019.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 09:11:49 AM UTC 2026
% Result : Unsatisfiable 61.74s 9.33s
% Output : CNFRefutation 61.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 28 ( 19 unt; 5 nHn; 23 RR)
% Number of literals : 40 ( 12 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_5,hypothesis,
x1 != x2 ).
cnf(premise_9,hypothesis,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),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_4,axiom,
( heap(sep(lseg(X0,X2),sep(next(X2,X3),X4)))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4)))) ) ).
cnf(c4,plain,
x2 != x1,
inference(clausification,[status(esa)],[premise_5]) ).
cnf(c8,plain,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(clausification,[status(esa)],[premise_9]) ).
cnf(c9,plain,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
inference(clausification,[status(esa)],[conclusion_1]) ).
cnf(c10,plain,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(clausification,[status(esa)],[associative_commutative]) ).
cnf(c11,plain,
sep(lseg(X0,X0),X1) = X1,
inference(clausification,[status(esa)],[normalization]) ).
cnf(c17,plain,
( heap(sep(lseg(X1,X2),X3))
| ~ heap(sep(next(X1,X0),sep(lseg(X0,X2),X3)))
| X0 = X1 ),
inference(clausification,[status(esa)],[unfolding_2]) ).
cnf(c19,plain,
( heap(sep(lseg(X0,X2),sep(next(X2,X3),X4)))
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4)))) ),
inference(clausification,[status(esa)],[unfolding_4]) ).
cnf(d0,plain,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(next(x2,x4),sep(lseg(x4,nil),emp))))),
inference(demodulation,[status(thm)],[c8,c10]) ).
cnf(d1,plain,
heap(sep(next(x1,x2),sep(next(x2,x4),sep(lseg(x3,x1),sep(lseg(x4,nil),emp))))),
inference(demodulation,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
( heap(sep(lseg(X2,X0),X1))
| X0 = X2
| ~ heap(sep(next(X2,X0),X1)) ),
inference(superposition,[status(thm)],[c11,c17]) ).
cnf(d3,plain,
( heap(sep(lseg(x1,x2),sep(next(x2,x4),sep(lseg(x3,x1),sep(lseg(x4,nil),emp)))))
| x2 = x1 ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( heap(sep(next(x2,x4),sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),emp)))))
| x2 = x1 ),
inference(demodulation,[status(thm)],[d3,c10]) ).
cnf(d5,plain,
heap(sep(next(x2,x4),sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),emp))))),
inference(resolution,[status(thm)],[c4,d4]) ).
cnf(d6,plain,
( heap(sep(lseg(X0,X2),sep(next(X2,X3),X4)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X0,X1),sep(next(X2,X3),X4)))) ),
inference(superposition,[status(thm)],[c10,c19]) ).
cnf(d7,plain,
sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
inference(superposition,[status(thm)],[c10,c10]) ).
cnf(d8,plain,
( heap(sep(lseg(X2,X1),sep(next(X1,X3),X4)))
| ~ heap(sep(next(X1,X3),sep(lseg(X0,X1),sep(lseg(X2,X0),X4)))) ),
inference(superposition,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
heap(sep(lseg(x3,x2),sep(next(x2,x4),sep(lseg(x4,nil),emp)))),
inference(resolution,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
heap(sep(next(x2,x4),sep(lseg(x3,x2),sep(lseg(x4,nil),emp)))),
inference(demodulation,[status(thm)],[d9,c10]) ).
cnf(d11,plain,
~ heap(sep(next(x2,x4),sep(lseg(x4,nil),sep(lseg(x3,x2),emp)))),
inference(demodulation,[status(thm)],[c9,c10]) ).
cnf(d12,plain,
~ heap(sep(next(x2,x4),sep(lseg(x3,x2),sep(lseg(x4,nil),emp)))),
inference(demodulation,[status(thm)],[d11,c10]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[d12,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 15:50:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.74/9.33 % SZS status Unsatisfiable for theBenchmark.p
% 61.74/9.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------