%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW437-1 : 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 : n014.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 05:32:23 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 17 unt; 2 nHn; 15 RR)
% Number of literals : 23 ( 15 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_27,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_27) ).
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(wellformedness_5,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
cnf(premise_10,hypothesis,
x7 != x16,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_6,hypothesis,
x3 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
cnf(c_0_6,hypothesis,
heap(sep(lseg(x5,x1),sep(lseg(x12,x8),sep(lseg(x2,x6),sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x10,x15),sep(lseg(x10,x5),sep(lseg(x7,x1),sep(lseg(x3,x12),sep(lseg(x3,x16),sep(lseg(x11,x8),emp)))))))))))),
premise_27 ).
cnf(c_0_7,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_8,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
cnf(c_0_9,hypothesis,
heap(sep(lseg(x16,x7),sep(lseg(x16,x3),sep(lseg(x7,x1),sep(lseg(x3,x16),sep(lseg(x3,x12),sep(lseg(x12,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x11,x8),sep(lseg(x5,x1),sep(lseg(x2,x6),emp)))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_10,hypothesis,
x7 != x16,
premise_10 ).
cnf(c_0_11,hypothesis,
x3 = x16,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_12,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_13,hypothesis,
heap(sep(lseg(x16,x7),sep(lseg(x16,x12),sep(lseg(x7,x1),sep(lseg(x12,x8),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x11,x8),sep(lseg(x5,x1),sep(lseg(x2,x6),emp)))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_11]),c_0_11]),c_0_11]),c_0_12]),c_0_7]),c_0_12]) ).
cnf(c_0_14,hypothesis,
x12 = x16,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_10]) ).
cnf(c_0_15,hypothesis,
x3 != x8,
premise_6 ).
cnf(c_0_16,hypothesis,
heap(sep(lseg(x16,x7),sep(lseg(x16,x8),sep(lseg(x7,x1),sep(lseg(x10,x5),sep(lseg(x10,x15),sep(lseg(x11,x8),sep(lseg(x5,x1),sep(lseg(x2,x6),emp))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]),c_0_7]),c_0_12]) ).
cnf(c_0_17,hypothesis,
x8 != x16,
inference(rw,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_18,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_10]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW437-1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n014.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 06:49:06 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------