%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW428-1 : 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 : 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 05:32:20 PM UTC 2026
% Result : Unsatisfiable 112.89s 81.06s
% Output : CNFRefutation 113.90s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_51)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_10,hypothesis,
heap(sep(lseg(x5,x4),sep(lseg(x2,x8),sep(lseg(x9,x7),sep(lseg(x7,x6),sep(lseg(x6,x5),emp)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_10) ).
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/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
cnf(unfolding_4,axiom,
( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_4) ).
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(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(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(wellformedness_4,axiom,
( X1 = X3
| ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_4) ).
cnf(wellformedness_3,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_3) ).
cnf(wellformedness_2,axiom,
( X1 = nil
| ~ heap(sep(lseg(nil,X1),X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_2) ).
cnf(wellformedness_1,axiom,
~ heap(sep(next(nil,X1),X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',wellformedness_1) ).
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(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(premise_9,hypothesis,
x2 != x4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).
cnf(premise_6,hypothesis,
x1 != x3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
cnf(premise_7,hypothesis,
x3 != x4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_7) ).
cnf(premise_5,hypothesis,
x4 != x5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
cnf(premise_4,hypothesis,
x6 != x10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).
cnf(premise_3,hypothesis,
x6 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
cnf(premise_8,hypothesis,
x9 != x11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
cnf(premise_2,hypothesis,
x6 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
cnf(premise_1,hypothesis,
x8 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
cnf(i_0_21,hypothesis,
heap(sep(lseg(x5,x4),sep(lseg(x2,x8),sep(lseg(x9,x7),sep(lseg(x7,x6),sep(lseg(x6,x5),emp)))))),
premise_10,
[final] ).
cnf(i_0_22,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,
[final] ).
cnf(i_0_23,axiom,
( heap(sep(lseg(X1,X3),sep(next(X3,X4),X5)))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,X3),sep(next(X3,X4),X5)))) ),
unfolding_4,
[final] ).
cnf(i_0_24,axiom,
( X1 = X2
| heap(sep(lseg(X1,X3),X4))
| ~ heap(sep(next(X1,X2),sep(lseg(X2,X3),X4))) ),
unfolding_2,
[final] ).
cnf(i_0_25,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
unfolding_3,
[final] ).
cnf(i_0_26,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5,
[final] ).
cnf(i_0_27,axiom,
( X1 = X3
| ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_4,
[final] ).
cnf(i_0_28,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
wellformedness_3,
[final] ).
cnf(i_0_29,axiom,
( X1 = nil
| ~ heap(sep(lseg(nil,X1),X2)) ),
wellformedness_2,
[final] ).
cnf(i_0_30,axiom,
~ heap(sep(next(nil,X1),X2)),
wellformedness_1,
[final] ).
cnf(i_0_31,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative,
[final] ).
cnf(i_0_32,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization,
[final] ).
cnf(i_0_33,hypothesis,
x2 != x4,
premise_9,
[final] ).
cnf(i_0_34,hypothesis,
x1 != x3,
premise_6,
[final] ).
cnf(i_0_35,hypothesis,
x3 != x4,
premise_7,
[final] ).
cnf(i_0_36,hypothesis,
x4 != x5,
premise_5,
[final] ).
cnf(i_0_37,hypothesis,
x6 != x10,
premise_4,
[final] ).
cnf(i_0_38,hypothesis,
x6 != x11,
premise_3,
[final] ).
cnf(i_0_39,hypothesis,
x9 != x11,
premise_8,
[final] ).
cnf(i_0_40,hypothesis,
x6 != x8,
premise_2,
[final] ).
cnf(i_0_41,hypothesis,
x8 != x9,
premise_1,
[final] ).
cnf(i_0_42,axiom,
X1 = X1 ).
cnf(i_0_43,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_44,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_45,axiom,
( X1 != X2
| sep(X1,X3) = sep(X2,X3) ) ).
cnf(i_0_46,axiom,
( X1 != X2
| sep(X3,X1) = sep(X3,X2) ) ).
cnf(i_0_47,axiom,
( X1 != X2
| ~ heap(X1)
| heap(X2) ) ).
cnf(i_0_48,plain,
X1 = sep(lseg(X2,X2),X1),
inference(scs_inference,[],[i_0_32,i_0_43]) ).
cnf(i_0_49,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_33,i_0_32,i_0_43,i_0_44]) ).
cnf(i_0_50,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_52,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_34,i_0_32,i_0_44]) ).
cnf(i_0_53,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_54,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_35,i_0_32,i_0_44]) ).
cnf(i_0_55,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_56,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_36,i_0_32,i_0_44]) ).
cnf(i_0_57,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_58,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_37,i_0_32,i_0_44]) ).
cnf(i_0_59,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_60,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_38,i_0_32,i_0_44]) ).
cnf(i_0_61,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_62,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_39,i_0_32,i_0_44]) ).
cnf(i_0_63,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_64,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_40,i_0_32,i_0_44]) ).
cnf(i_0_65,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_66,plain,
X1 != sep(lseg(X2,X2),X3),
inference(scs_inference,[],[i_0_41,i_0_32,i_0_44]) ).
cnf(i_0_67,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_69,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_71,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_73,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_75,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_77,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_79,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_81,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_83,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_85,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_87,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_89,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_91,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_93,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_95,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_97,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_99,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_101,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_103,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_105,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_107,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_109,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_111,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_113,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_115,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_117,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_119,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_121,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_133,plain,
~ heap(sep(next(nil,X1),X2)),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_134,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_154,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_159,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_34,i_0_27]) ).
cnf(i_0_171,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_174,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_35,i_0_27]) ).
cnf(i_0_185,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_189,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_36,i_0_27]) ).
cnf(i_0_199,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_202,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_37,i_0_27]) ).
cnf(i_0_213,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_216,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_38,i_0_27]) ).
cnf(i_0_228,plain,
sep(lseg(X1,X1),X2) = X2,
inference(rename_variables,[],[i_0_32]) ).
cnf(i_0_229,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_39,i_0_27]) ).
cnf(i_0_239,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_40,i_0_27]) ).
cnf(i_0_261,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_41,i_0_27]) ).
cnf(i_0_423,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_454,plain,
~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))),
inference(scs_inference,[],[i_0_33,i_0_27]) ).
cnf(i_0_488,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_505,plain,
sep(X1,sep(lseg(X2,X2),X3)) = sep(X1,X3),
inference(scs_inference,[],[i_0_32,i_0_46]) ).
cnf(i_0_506,plain,
sep(sep(lseg(X1,X1),X2),X3) = sep(X2,X3),
inference(scs_inference,[],[i_0_32,i_0_46,i_0_45]) ).
cnf(i_0_68,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_49,i_0_32,i_0_44]) ).
cnf(i_0_70,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_52,i_0_32,i_0_44]) ).
cnf(i_0_72,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_54,i_0_32,i_0_44]) ).
cnf(i_0_74,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_56,i_0_32,i_0_44]) ).
cnf(i_0_76,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_58,i_0_32,i_0_44]) ).
cnf(i_0_78,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_60,i_0_32,i_0_44]) ).
cnf(i_0_80,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_62,i_0_32,i_0_44]) ).
cnf(i_0_82,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_64,i_0_32,i_0_44]) ).
cnf(i_0_84,plain,
X1 != sep(lseg(X2,X2),sep(lseg(X3,X3),X4)),
inference(scs_inference,[],[i_0_66,i_0_32,i_0_44]) ).
cnf(i_0_122,plain,
lseg(X1,X2) != next(nil,X3),
inference(scs_inference,[],[i_0_51,i_0_45]) ).
cnf(i_0_125,plain,
sep(X1,X2) = sep(X1,sep(lseg(X3,X3),X2)),
inference(scs_inference,[],[i_0_48,i_0_46]) ).
cnf(i_0_136,plain,
X1 = sep(lseg(X2,X2),X1),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_173,plain,
X1 = sep(lseg(X2,X2),X1),
inference(rename_variables,[],[i_0_48]) ).
cnf(c_0_52,plain,
X1 != sep(lseg(X2,X2),X3),
i_0_49 ).
cnf(c_0_53,plain,
X1 = sep(lseg(X2,X2),X1),
i_0_48 ).
cnf(c_0_54,plain,
$false,
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW428-1 : 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
% 0.15/0.33 % 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 06:48:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 112.89/81.06 % Version : CSE_E---1.7
% 112.89/81.06 % Problem : theBenchmark.p
% 112.89/81.06 % SZS status Unsatisfiable for theBenchmark.p
% 112.89/81.06 % SZS output start CNFRefutation
% See solution above
% 113.90/82.04 % Total time : 80.715s
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