%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW409-1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:32:18 PM UTC 2026
% Result : Unsatisfiable 1.70s 1.88s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 14 unt; 4 nHn; 17 RR)
% Number of literals : 34 ( 11 equ; 12 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 : 44 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unfolding_2,axiom,
( X1 = X2
| heap(sep(lseg(X1,X3),X4))
| ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
cnf(unfolding_3,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
cnf(premise_5,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
cnf(premise_3,hypothesis,
x1 != x3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
cnf(c_0_7,axiom,
( X1 = X2
| heap(sep(lseg(X1,X3),X4))
| ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
unfolding_2 ).
cnf(c_0_8,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_9,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_10,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
unfolding_3 ).
cnf(c_0_11,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),X3))
| ~ heap(sep(next(X1,X2),X3)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X3,sep(X1,sep(X2,X4))),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_13,plain,
( heap(sep(lseg(X1,nil),sep(X2,X3)))
| ~ heap(sep(lseg(X1,X4),sep(X2,sep(lseg(X4,nil),X3)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_14,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(X3,sep(X4,X5))))
| ~ heap(sep(X3,sep(X4,sep(next(X1,X2),X5)))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
premise_5 ).
cnf(c_0_16,hypothesis,
x1 != x3,
premise_3 ).
cnf(c_0_17,plain,
( heap(sep(lseg(X1,nil),sep(X2,X3)))
| ~ heap(sep(X2,sep(lseg(X1,X4),sep(lseg(X4,nil),X3)))) ),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_18,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x1,x3),sep(lseg(x3,nil),emp)))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_9]) ).
cnf(c_0_19,hypothesis,
heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_9]) ).
cnf(c_0_20,negated_conjecture,
~ heap(sep(lseg(x2,nil),emp)),
conclusion_1 ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW409-1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n026.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 06:47:38 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 1.70/1.88 % Version : CSE_E---1.7
% 1.70/1.88 % Problem : theBenchmark.p
% 1.70/1.88 % SZS status Unsatisfiable for theBenchmark.p
% 1.70/1.88 % SZS output start CNFRefutation
% See solution above
% 1.70/1.88 % Total time : 1.371s
%------------------------------------------------------------------------------