%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW438-1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 5.93s 4.41s
% Output : CNFRefutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of clauses : 51 ( 29 unt; 21 nHn; 44 RR)
% Number of literals : 88 ( 56 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 14 ( 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 : 88 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associative_commutative,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
cnf(premise_16,hypothesis,
heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),sep(lseg(x6,x14),sep(lseg(x6,x16),emp))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_16) ).
cnf(unfolding_5,axiom,
( X3 = X4
| heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
cnf(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_3,hypothesis,
x3 != x10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_8,hypothesis,
x2 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_10,hypothesis,
x14 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_10) ).
cnf(premise_4,hypothesis,
x3 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
cnf(c_0_9,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative ).
cnf(c_0_10,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5 ).
cnf(c_0_11,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_12,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X3),sep(lseg(X1,X2),X5)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,hypothesis,
heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),sep(lseg(x6,x14),sep(lseg(x6,x16),emp))))))))))))),
premise_16 ).
cnf(c_0_14,axiom,
( X3 = X4
| heap(sep(lseg(X1,X3),sep(lseg(X3,X4),X5)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(lseg(X3,X4),X5)))) ),
unfolding_5 ).
cnf(c_0_15,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(X5,sep(lseg(X1,X2),sep(lseg(X1,X3),X6))))) ),
inference(spm,[status(thm)],[c_0_12,c_0_11]) ).
cnf(c_0_16,hypothesis,
heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),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)],[c_0_13,c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]),c_0_9]) ).
cnf(c_0_17,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
| ~ heap(sep(lseg(X3,X6),sep(lseg(X1,X2),sep(X4,sep(lseg(X6,X1),X5))))) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_18,hypothesis,
( x16 = x6
| x6 = x14 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization ).
cnf(c_0_20,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(lseg(X3,X1),X4)))
| ~ heap(sep(lseg(X3,X5),sep(lseg(X5,X1),sep(lseg(X1,X2),X4)))) ),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_21,plain,
( X1 = X2
| heap(sep(lseg(X3,X1),sep(lseg(X1,X2),sep(X4,X5))))
| ~ heap(sep(X4,sep(lseg(X3,X6),sep(lseg(X1,X2),sep(lseg(X6,X1),X5))))) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_22,hypothesis,
( x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),emp)))))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_18]),c_0_19]) ).
cnf(c_0_23,plain,
sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X2,sep(X1,sep(X4,sep(X3,X5)))),
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_24,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(lseg(X1,X2),sep(X5,sep(lseg(X1,X3),X6))))) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_25,plain,
sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X3,sep(X2,sep(X4,sep(X1,X5)))),
inference(spm,[status(thm)],[c_0_11,c_0_11]) ).
cnf(c_0_26,plain,
( X1 = X2
| heap(sep(lseg(X1,X2),sep(lseg(X3,X1),X4)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X3,X5),sep(lseg(X5,X1),X4)))) ),
inference(spm,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_27,hypothesis,
( x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x6),sep(lseg(x6,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),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(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_23]),c_0_23]),c_0_9]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_9]) ).
cnf(c_0_28,plain,
( X1 = X2
| X1 = X3
| ~ heap(sep(X4,sep(X5,sep(X6,sep(lseg(X1,X3),sep(lseg(X1,X2),X7)))))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,hypothesis,
( x6 = x14
| x12 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),emp)))))))))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,hypothesis,
x3 != x10,
premise_3 ).
cnf(c_0_31,hypothesis,
( x12 = x14
| x6 = x14
| x10 = x2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_32,hypothesis,
( x10 = x2
| x6 = x14
| heap(sep(lseg(x2,x6),sep(lseg(x6,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),emp)))))))))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_31]),c_0_19]) ).
cnf(c_0_33,hypothesis,
( x6 = x14
| x10 = x2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_32]),c_0_30]) ).
cnf(c_0_34,hypothesis,
x2 != x16,
premise_8 ).
cnf(c_0_35,hypothesis,
( x6 = x14
| heap(sep(lseg(x14,x12),sep(lseg(x2,x6),sep(lseg(x2,x3),sep(lseg(x6,x14),sep(lseg(x13,x8),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x11,x4),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(spm,[status(thm)],[c_0_27,c_0_33]),c_0_19]),c_0_23]),c_0_23]),c_0_9]),c_0_23]),c_0_23]),c_0_9]) ).
cnf(c_0_36,hypothesis,
( x6 = x14
| x6 != x2 ),
inference(spm,[status(thm)],[c_0_34,c_0_18]) ).
cnf(c_0_37,hypothesis,
( x6 = x14
| x3 = x2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_35]),c_0_36]) ).
cnf(c_0_38,hypothesis,
x6 = x14,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_37]),c_0_33]) ).
cnf(c_0_39,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x13,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),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)],[c_0_16,c_0_38]),c_0_38]),c_0_38]),c_0_19]),c_0_23]),c_0_23]),c_0_23]),c_0_9]),c_0_23]),c_0_23]),c_0_23]),c_0_23]),c_0_9]) ).
cnf(c_0_40,hypothesis,
x14 != x16,
premise_10 ).
cnf(c_0_41,hypothesis,
x12 = x14,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_39]),c_0_40]) ).
cnf(c_0_42,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x2,x13),sep(lseg(x13,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp))))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_41]),c_0_19]) ).
cnf(c_0_43,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x2,x14),sep(lseg(x13,x8),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp)))))))))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_42]),c_0_40]) ).
cnf(c_0_44,hypothesis,
x10 = x2,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_43]),c_0_30]) ).
cnf(c_0_45,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x2,x14),sep(lseg(x2,x3),sep(lseg(x13,x8),sep(lseg(x3,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x11,x4),emp))))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_44]),c_0_19]),c_0_23]),c_0_9]) ).
cnf(c_0_46,hypothesis,
x3 != x2,
inference(rw,[status(thm)],[c_0_30,c_0_44]) ).
cnf(c_0_47,hypothesis,
x2 = x14,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_45]),c_0_46]) ).
cnf(c_0_48,hypothesis,
heap(sep(lseg(x14,x16),sep(lseg(x14,x3),sep(lseg(x13,x8),sep(lseg(x3,x14),sep(lseg(x7,x14),sep(lseg(x7,x16),sep(lseg(x11,x4),emp)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_47]),c_0_47]),c_0_47]),c_0_19]) ).
cnf(c_0_49,hypothesis,
x3 != x14,
premise_4 ).
cnf(c_0_50,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_48]),c_0_40]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW438-1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n010.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 06:48:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 5.93/4.41 % Version : CSE_E---1.7
% 5.93/4.41 % Problem : theBenchmark.p
% 5.93/4.41 % SZS status Unsatisfiable for theBenchmark.p
% 5.93/4.41 % SZS output start CNFRefutation
% See solution above
% 5.93/4.42 % Total time : 3.371s
%------------------------------------------------------------------------------