%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW427-1 : 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 : n007.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 05:32:20 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.71s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 20 unt; 4 nHn; 19 RR)
% Number of literals : 30 ( 20 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_10,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).
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(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_8,hypothesis,
x7 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_2,hypothesis,
x1 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
cnf(c_0_6,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
premise_10 ).
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(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),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)],[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]) ).
cnf(c_0_10,hypothesis,
( x9 = x11
| x7 = x11 ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
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_7,c_0_7]) ).
cnf(c_0_13,hypothesis,
( x7 = x11
| heap(sep(lseg(x11,x7),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x2),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),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(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),c_0_7]),c_0_7]),c_0_12]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_14,hypothesis,
x7 = x11,
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_15,hypothesis,
x7 != x9,
premise_8 ).
cnf(c_0_16,hypothesis,
heap(sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))),
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_14]),c_0_14]),c_0_14]),c_0_7]),c_0_11]) ).
cnf(c_0_17,hypothesis,
x9 != x11,
inference(rw,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_18,hypothesis,
x3 = x11,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_17]) ).
cnf(c_0_19,hypothesis,
heap(sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_18]),c_0_11]) ).
cnf(c_0_20,hypothesis,
x10 = x11,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_19]),c_0_17]) ).
cnf(c_0_21,hypothesis,
heap(sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),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)],[c_0_19,c_0_20]),c_0_20]),c_0_7]),c_0_7]),c_0_7]),c_0_7]),c_0_11]) ).
cnf(c_0_22,hypothesis,
x1 != x11,
premise_2 ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_21]),c_0_17]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWW427-1 : 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 : n007.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 06:47:53 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start CNFRefutation
% See solution above
% 1.25/1.71 % Total time : 1.370s
%------------------------------------------------------------------------------