%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW423-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:11:51 AM UTC 2026
% Result : Unsatisfiable 10.35s 5.95s
% Output : CNFRefutation 10.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 12 unt; 4 nHn; 13 RR)
% Number of literals : 23 ( 11 equ; 8 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 : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_2,hypothesis,
x2 != x1 ).
cnf(premise_4,hypothesis,
heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))) ).
cnf(associative_commutative,axiom,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)) ).
cnf(unfolding_2,axiom,
( heap(sep(lseg(X0,X2),X3))
| X0 = X1
| ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3))) ) ).
cnf(c1,plain,
x2 != x1,
inference(clausification,[status(esa)],[premise_2]) ).
cnf(c3,plain,
heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))),
inference(clausification,[status(esa)],[premise_4]) ).
cnf(c4,plain,
~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))),
inference(clausification,[status(esa)],[conclusion_1]) ).
cnf(c5,plain,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(clausification,[status(esa)],[associative_commutative]) ).
cnf(c12,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(d0,plain,
sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
inference(superposition,[status(thm)],[c5,c5]) ).
cnf(d1,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)],[d0,c12]) ).
cnf(d2,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp)))
| x1 = x2 ),
inference(resolution,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
x1 = x2,
inference(resolution,[status(thm)],[c4,d2]) ).
cnf(d4,plain,
x1 != x1,
inference(demodulation,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW423-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n016.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 15:56:00 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.35/5.95 % SZS status Unsatisfiable for theBenchmark.p
% 10.35/5.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------