%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW452-1 : 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 05:32:25 PM UTC 2026
% Result : Unsatisfiable 120.26s 86.03s
% Output : CNFRefutation 122.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_297)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_1,hypothesis,
heap(sep(next(x5,x6),sep(next(x12,x4),sep(next(x8,x6),sep(lseg(x1,x8),sep(next(x11,x5),sep(lseg(x4,x3),sep(next(x2,x4),sep(next(x9,x6),sep(next(x3,x7),sep(lseg(x6,x8),sep(next(x7,x10),sep(lseg(x10,x3),emp))))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x9,x6),sep(lseg(x2,x4),sep(lseg(x12,x7),sep(lseg(x11,x8),sep(lseg(x1,x6),sep(lseg(x7,x3),emp))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
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(i_0_13,hypothesis,
heap(sep(next(x5,x6),sep(next(x12,x4),sep(next(x8,x6),sep(lseg(x1,x8),sep(next(x11,x5),sep(lseg(x4,x3),sep(next(x2,x4),sep(next(x9,x6),sep(next(x3,x7),sep(lseg(x6,x8),sep(next(x7,x10),sep(lseg(x10,x3),emp))))))))))))),
premise_1,
[final] ).
cnf(i_0_14,negated_conjecture,
~ heap(sep(lseg(x9,x6),sep(lseg(x2,x4),sep(lseg(x12,x7),sep(lseg(x11,x8),sep(lseg(x1,x6),sep(lseg(x7,x3),emp))))))),
conclusion_1,
[final] ).
cnf(i_0_15,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_16,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_17,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_18,axiom,
( heap(sep(lseg(X1,nil),X3))
| ~ heap(sep(lseg(X1,X2),sep(lseg(X2,nil),X3))) ),
unfolding_3,
[final] ).
cnf(i_0_19,axiom,
( X1 = X2
| X1 = X3
| ~ heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_5,
[final] ).
cnf(i_0_20,axiom,
( X1 = X3
| ~ heap(sep(next(X1,X2),sep(lseg(X1,X3),X4))) ),
wellformedness_4,
[final] ).
cnf(i_0_21,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
wellformedness_3,
[final] ).
cnf(i_0_22,axiom,
( X1 = nil
| ~ heap(sep(lseg(nil,X1),X2)) ),
wellformedness_2,
[final] ).
cnf(i_0_23,axiom,
~ heap(sep(next(nil,X1),X2)),
wellformedness_1,
[final] ).
cnf(i_0_24,axiom,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
associative_commutative,
[final] ).
cnf(i_0_25,axiom,
sep(lseg(X1,X1),X2) = X2,
normalization,
[final] ).
cnf(i_0_26,axiom,
X1 = X1 ).
cnf(i_0_27,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_28,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_29,axiom,
( X1 != X2
| sep(X1,X3) = sep(X2,X3) ) ).
cnf(i_0_30,axiom,
( X1 != X2
| sep(X3,X1) = sep(X3,X2) ) ).
cnf(i_0_31,axiom,
( X1 != X2
| ~ heap(X1)
| heap(X2) ) ).
cnf(i_0_741,plain,
sep(lseg(X1,X1),sep(X2,X3)) = sep(lseg(X4,X4),sep(lseg(X5,X5),sep(X2,sep(lseg(X6,X6),X3)))),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_754,plain,
sep(lseg(X1,X1),sep(X2,X3)) = sep(lseg(X4,X4),sep(lseg(X5,X5),sep(X2,sep(lseg(X6,X6),X3)))),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_776,plain,
sep(lseg(X1,X1),sep(X2,X3)) = sep(lseg(X4,X4),sep(lseg(X5,X5),sep(X2,sep(lseg(X6,X6),X3)))),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_810,plain,
sep(lseg(X1,X1),sep(X2,X3)) = sep(lseg(X4,X4),sep(lseg(X5,X5),sep(X2,sep(lseg(X6,X6),X3)))),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_835,plain,
sep(lseg(X1,X1),sep(X2,X3)) = sep(lseg(X4,X4),sep(lseg(X5,X5),sep(X2,sep(lseg(X6,X6),X3)))),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_914,plain,
sep(lseg(X1,X1),sep(X2,X3)) = sep(lseg(X4,X4),sep(lseg(X5,X5),sep(X2,sep(lseg(X6,X6),X3)))),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_952,plain,
sep(lseg(X1,X1),X2) = sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),X2)))),
inference(rename_variables,[],[i_0_662]) ).
cnf(i_0_965,plain,
sep(lseg(X1,X1),sep(X2,X3)) = sep(lseg(X4,X4),sep(lseg(X5,X5),sep(X2,sep(lseg(X6,X6),X3)))),
inference(rename_variables,[],[i_0_297]) ).
cnf(i_0_1103,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(X3,sep(lseg(X4,X4),X5)))) = sep(lseg(X6,X6),sep(X3,X5)),
inference(rename_variables,[],[i_0_295]) ).
cnf(i_0_1374,plain,
next(X1,X2) != next(nil,X3),
inference(scs_inference,[],[i_0_23,i_0_1346,i_0_13,i_0_31,i_0_18,i_0_29]) ).
cnf(i_0_1376,plain,
~ heap(sep(lseg(next(X1,X2),next(nil,X3)),sep(lseg(next(X1,X2),next(nil,X3)),X4))),
inference(scs_inference,[],[i_0_23,i_0_1346,i_0_13,i_0_31,i_0_18,i_0_29,i_0_27,i_0_19]) ).
cnf(i_0_1380,plain,
~ heap(sep(next(next(X1,X2),X3),sep(lseg(next(X1,X2),next(nil,X4)),X5))),
inference(scs_inference,[],[i_0_23,i_0_1346,i_0_13,i_0_376,i_0_31,i_0_18,i_0_29,i_0_27,i_0_19,i_0_28,i_0_20]) ).
cnf(i_0_1392,plain,
~ heap(sep(next(next(X1,X2),next(nil,X3)),sep(lseg(next(nil,X3),next(X1,X2)),sep(next(nil,X4),X5)))),
inference(scs_inference,[],[i_0_1374,i_0_1169]) ).
cnf(i_0_1405,plain,
next(nil,X1) != next(X2,X3),
inference(scs_inference,[],[i_0_1374,i_0_1378,i_0_981,i_0_1169,i_0_1220,i_0_1239,i_0_1256,i_0_1368,i_0_20,i_0_29,i_0_27]) ).
cnf(i_0_1410,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6))))) != next(nil,X7),
inference(scs_inference,[],[i_0_1374,i_0_1376,i_0_1378,i_0_981,i_0_1169,i_0_1220,i_0_1239,i_0_1256,i_0_1368,i_0_20,i_0_29,i_0_27,i_0_19,i_0_17,i_0_28]) ).
cnf(i_0_1412,plain,
next(nil,X1) != sep(lseg(X2,X2),sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7))))),
inference(scs_inference,[],[i_0_1410,i_0_27]) ).
cnf(i_0_1413,plain,
~ heap(sep(lseg(next(nil,X1),next(X2,X3)),sep(lseg(next(nil,X1),next(X2,X3)),X4))),
inference(scs_inference,[],[i_0_1405,i_0_1410,i_0_27,i_0_19]) ).
cnf(i_0_1432,plain,
next(nil,X1) != sep(lseg(X2,X2),sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7))))),
inference(rename_variables,[],[i_0_1412]) ).
cnf(i_0_1434,plain,
~ heap(sep(lseg(next(X1,X2),next(nil,X3)),sep(next(next(X1,X2),X4),X5))),
inference(scs_inference,[],[i_0_24,i_0_1380,i_0_1413,i_0_1412,i_0_1420,i_0_1423,i_0_1085,i_0_27,i_0_19,i_0_17,i_0_31]) ).
cnf(i_0_1472,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(nil,X3))) != next(X4,X5),
inference(scs_inference,[],[i_0_1441,i_0_1463,i_0_1112,i_0_453,i_0_1442,i_0_1420,i_0_1436,i_0_30,i_0_27,i_0_19,i_0_17,i_0_28]) ).
cnf(i_0_1489,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),next(nil,X5))),
inference(scs_inference,[],[i_0_1472,i_0_1466,i_0_30,i_0_27]) ).
cnf(i_0_1505,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(nil,X3))) != next(X4,X5),
inference(rename_variables,[],[i_0_1472]) ).
cnf(i_0_1509,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(nil,X4)))) != next(X5,X6),
inference(scs_inference,[],[i_0_24,i_0_1489,i_0_1408,i_0_1490,i_0_1487,i_0_1113,i_0_997,i_0_1472,i_0_1420,i_0_30,i_0_27,i_0_19,i_0_17,i_0_31,i_0_28]) ).
cnf(i_0_1511,plain,
~ heap(sep(lseg(X1,X1),sep(next(next(X2,X3),next(nil,X4)),sep(lseg(next(X2,X3),next(nil,X4)),X5)))),
inference(scs_inference,[],[i_0_24,i_0_1489,i_0_1408,i_0_1490,i_0_1487,i_0_1113,i_0_997,i_0_1472,i_0_1420,i_0_30,i_0_27,i_0_19,i_0_17,i_0_31,i_0_28,i_0_1085]) ).
cnf(i_0_1514,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),next(nil,X7))))),
inference(scs_inference,[],[i_0_1501,i_0_30]) ).
cnf(i_0_1516,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),next(nil,X6)))),
inference(scs_inference,[],[i_0_1509,i_0_1501,i_0_30,i_0_27]) ).
cnf(i_0_1523,plain,
~ heap(sep(lseg(X1,X1),sep(next(next(X2,X3),next(nil,X4)),sep(lseg(next(X2,X3),next(nil,X4)),X5)))),
inference(rename_variables,[],[i_0_1511]) ).
cnf(i_0_1544,plain,
~ heap(sep(lseg(X1,X1),sep(next(next(X2,X3),next(nil,X4)),sep(lseg(next(X2,X3),next(nil,X4)),X5)))),
inference(rename_variables,[],[i_0_1511]) ).
cnf(i_0_1548,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),sep(lseg(X4,X4),next(nil,X5))))) != next(X6,X7),
inference(scs_inference,[],[i_0_1514,i_0_1118,i_0_30,i_0_27]) ).
cnf(i_0_1569,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(nil,X4)))) != sep(lseg(X5,X5),next(X6,X7)),
inference(scs_inference,[],[i_0_1557,i_0_30]) ).
cnf(i_0_1582,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),next(nil,X7)))),
inference(scs_inference,[],[i_0_1569,i_0_1119,i_0_30,i_0_27]) ).
cnf(i_0_1687,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(lseg(X5,X5),sep(lseg(X6,X6),next(nil,X7))),
inference(scs_inference,[],[i_0_1672,i_0_30]) ).
cnf(i_0_1720,plain,
sep(sep(lseg(X1,X1),X2),X3) = sep(X2,X3),
inference(scs_inference,[],[i_0_25,i_0_1699,i_0_1702,i_0_1672,i_0_1688,i_0_1701,i_0_1665,i_0_1626,i_0_1583,i_0_1663,i_0_1682,i_0_1548,i_0_30,i_0_27,i_0_15,i_0_19,i_0_17,i_0_31,i_0_28,i_0_1191,i_0_1285,i_0_1323,i_0_1341,i_0_1307,i_0_20,i_0_1148,i_0_18,i_0_1123,i_0_29]) ).
cnf(i_0_1721,plain,
sep(X1,sep(sep(lseg(X2,X2),X3),X4)) = sep(X1,sep(X3,X4)),
inference(scs_inference,[],[i_0_1720,i_0_30]) ).
cnf(i_0_1722,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(nil,X3))) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7))),
inference(scs_inference,[],[i_0_1720,i_0_1687,i_0_30,i_0_27]) ).
cnf(i_0_1730,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(nil,X6))),
inference(scs_inference,[],[i_0_25,i_0_1729,i_0_1720,i_0_1687,i_0_1559,i_0_1690,i_0_1514,i_0_30,i_0_27,i_0_15,i_0_19,i_0_31,i_0_28]) ).
cnf(i_0_2191,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(lseg(X5,X5),next(nil,X6)),
inference(scs_inference,[],[i_0_1820,i_0_30]) ).
cnf(i_0_1743,plain,
next(X1,X2) != sep(lseg(X3,X3),next(nil,X4)),
inference(scs_inference,[],[i_0_1730,i_0_30]) ).
cnf(i_0_1744,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(nil,X6))),
inference(rename_variables,[],[i_0_1730]) ).
cnf(i_0_1753,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(nil,X3))) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7))),
inference(rename_variables,[],[i_0_1722]) ).
cnf(i_0_1755,plain,
sep(X1,sep(X2,sep(sep(lseg(X3,X3),X4),X5))) = sep(X1,sep(X2,sep(X4,X5))),
inference(scs_inference,[],[i_0_1721,i_0_30]) ).
cnf(i_0_1906,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(nil,X6))),
inference(rename_variables,[],[i_0_1730]) ).
cnf(i_0_2201,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(lseg(X5,X5),next(nil,X6)),
inference(rename_variables,[],[i_0_2191]) ).
cnf(i_0_1745,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(nil,X3))) != sep(lseg(X4,X4),next(X5,X6)),
inference(scs_inference,[],[i_0_1730,i_0_1744,i_0_30,i_0_27]) ).
cnf(i_0_1752,plain,
sep(lseg(X1,X1),next(nil,X2)) != sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6))),
inference(scs_inference,[],[i_0_25,i_0_1730,i_0_1744,i_0_1722,i_0_1525,i_0_1728,i_0_13,i_0_30,i_0_27,i_0_19,i_0_17,i_0_31,i_0_28]) ).
cnf(i_0_1756,plain,
sep(lseg(X1,X1),next(nil,X2)) != next(X3,X4),
inference(scs_inference,[],[i_0_1743,i_0_1721,i_0_30,i_0_27]) ).
cnf(i_0_1761,plain,
sep(lseg(X1,X1),next(nil,X2)) != sep(lseg(X3,X3),next(X4,X5)),
inference(scs_inference,[],[i_0_25,i_0_1760,i_0_1743,i_0_1745,i_0_1721,i_0_1746,i_0_30,i_0_27,i_0_19,i_0_31,i_0_28]) ).
cnf(i_0_1768,plain,
next(nil,X1) != sep(lseg(X2,X2),next(X3,X4)),
inference(scs_inference,[],[i_0_1752,i_0_30]) ).
cnf(i_0_1769,plain,
sep(lseg(X1,X1),next(nil,X2)) != sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6))),
inference(rename_variables,[],[i_0_1752]) ).
cnf(i_0_1779,plain,
sep(lseg(X1,X1),next(nil,X2)) != sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6))),
inference(rename_variables,[],[i_0_1752]) ).
cnf(i_0_1770,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),next(nil,X5)),
inference(scs_inference,[],[i_0_1761,i_0_1752,i_0_30,i_0_27]) ).
cnf(i_0_1778,plain,
next(nil,X1) != sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5))),
inference(scs_inference,[],[i_0_25,i_0_1777,i_0_1756,i_0_1761,i_0_1752,i_0_1769,i_0_1757,i_0_1763,i_0_30,i_0_27,i_0_15,i_0_19,i_0_31,i_0_28]) ).
cnf(i_0_1796,plain,
sep(sep(X1,sep(X2,sep(sep(lseg(X3,X3),X4),X5))),X6) = sep(sep(X1,sep(X2,sep(X4,X5))),X6),
inference(scs_inference,[],[i_0_25,i_0_1777,i_0_1756,i_0_1761,i_0_1752,i_0_1769,i_0_1755,i_0_1757,i_0_1759,i_0_1763,i_0_30,i_0_27,i_0_15,i_0_19,i_0_31,i_0_28,i_0_1191,i_0_1285,i_0_1323,i_0_1341,i_0_1307,i_0_20,i_0_18,i_0_29]) ).
cnf(i_0_1798,plain,
sep(lseg(X1,X1),next(X2,X3)) != next(nil,X4),
inference(scs_inference,[],[i_0_1768,i_0_1796,i_0_30,i_0_27]) ).
cnf(i_0_1806,plain,
sep(sep(X1,sep(X2,sep(sep(lseg(X3,X3),X4),X5))),X6) = sep(sep(X1,sep(X2,sep(X4,X5))),X6),
inference(rename_variables,[],[i_0_1796]) ).
cnf(i_0_1822,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != next(nil,X5),
inference(scs_inference,[],[i_0_1778,i_0_1689,i_0_30,i_0_27]) ).
cnf(i_0_1840,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),next(nil,X5)),
inference(rename_variables,[],[i_0_1770]) ).
cnf(i_0_1856,plain,
sep(lseg(X1,X1),next(X2,X3)) != next(nil,X4),
inference(rename_variables,[],[i_0_1798]) ).
cnf(i_0_1879,plain,
sep(X1,X2) = sep(sep(lseg(X3,X3),X1),X2),
inference(scs_inference,[],[i_0_32,i_0_1863,i_0_1833,i_0_1700,i_0_1807,i_0_1842,i_0_1857,i_0_1608,i_0_1853,i_0_1798,i_0_13,i_0_30,i_0_27,i_0_15,i_0_19,i_0_31,i_0_28,i_0_1191,i_0_1285,i_0_1323,i_0_1341,i_0_1307,i_0_20,i_0_18,i_0_29]) ).
cnf(i_0_1880,plain,
sep(X1,sep(X2,X3)) = sep(X1,sep(sep(lseg(X4,X4),X2),X3)),
inference(scs_inference,[],[i_0_1879,i_0_30]) ).
cnf(i_0_1891,plain,
sep(X1,X2) = sep(sep(lseg(X3,X3),X1),X2),
inference(rename_variables,[],[i_0_1879]) ).
cnf(i_0_1916,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X1,sep(X2,sep(sep(lseg(X5,X5),X3),X4))),
inference(scs_inference,[],[i_0_1880,i_0_30]) ).
cnf(i_0_1929,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5)))) != next(nil,X6),
inference(scs_inference,[],[i_0_1917,i_0_30]) ).
cnf(i_0_1956,plain,
sep(sep(X1,sep(X2,sep(X3,X4))),X5) = sep(sep(X1,sep(X2,sep(sep(lseg(X6,X6),X3),X4))),X5),
inference(scs_inference,[],[i_0_32,i_0_1917,i_0_1930,i_0_1922,i_0_1916,i_0_1927,i_0_1933,i_0_1006,i_0_1408,i_0_30,i_0_27,i_0_17,i_0_31,i_0_28,i_0_1191,i_0_1285,i_0_1323,i_0_1341,i_0_1307,i_0_20,i_0_18,i_0_1123,i_0_29]) ).
cnf(i_0_1960,plain,
next(nil,X1) != sep(lseg(X2,X2),sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6)))),
inference(scs_inference,[],[i_0_1929,i_0_1956,i_0_30,i_0_27]) ).
cnf(i_0_1984,plain,
sep(lseg(X1,X1),next(nil,X2)) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7)))),
inference(scs_inference,[],[i_0_32,i_0_1960,i_0_1911,i_0_1981,i_0_1781,i_0_1909,i_0_30,i_0_27,i_0_31,i_0_28]) ).
cnf(i_0_1991,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5)))) != sep(lseg(X6,X6),next(nil,X7)),
inference(scs_inference,[],[i_0_1984,i_0_1965,i_0_30,i_0_27]) ).
cnf(i_0_2046,plain,
next(X1,X2) != sep(sep(lseg(X3,X3),lseg(X4,X4)),sep(lseg(X5,X5),sep(lseg(X6,X6),next(nil,X7)))),
inference(scs_inference,[],[i_0_2029,i_0_30]) ).
cnf(i_0_2060,plain,
sep(sep(lseg(X1,X1),lseg(X2,X2)),sep(lseg(X3,X3),sep(lseg(X4,X4),next(nil,X5)))) != next(X6,X7),
inference(scs_inference,[],[i_0_33,i_0_2046,i_0_30,i_0_27]) ).
cnf(i_0_2078,plain,
sep(sep(lseg(X1,X1),lseg(X2,X2)),sep(lseg(X3,X3),next(nil,X4))) != next(X5,X6),
inference(scs_inference,[],[i_0_33,i_0_2060,i_0_2057,i_0_1809,i_0_1862,i_0_1909,i_0_30,i_0_27,i_0_31,i_0_28]) ).
cnf(i_0_2079,plain,
sep(sep(lseg(X1,X1),lseg(X2,X2)),sep(lseg(X3,X3),sep(lseg(X4,X4),next(nil,X5)))) != next(X6,X7),
inference(rename_variables,[],[i_0_2060]) ).
cnf(i_0_2097,plain,
sep(sep(X1,sep(lseg(X2,X2),X3)),X4) = sep(sep(X1,X3),X4),
inference(scs_inference,[],[i_0_33,i_0_2080,i_0_2060,i_0_2079,i_0_2057,i_0_1809,i_0_1766,i_0_1862,i_0_1909,i_0_30,i_0_27,i_0_31,i_0_28,i_0_1191,i_0_1285,i_0_1323,i_0_1341,i_0_1307,i_0_20,i_0_18,i_0_1123,i_0_29]) ).
cnf(i_0_2131,plain,
sep(X1,sep(sep(X2,sep(lseg(X3,X3),X4)),X5)) = sep(X1,sep(sep(X2,X4),X5)),
inference(scs_inference,[],[i_0_2097,i_0_30]) ).
cnf(i_0_2140,plain,
sep(sep(X1,sep(lseg(X2,X2),X3)),X4) = sep(sep(X1,X3),X4),
inference(rename_variables,[],[i_0_2097]) ).
cnf(i_0_2105,plain,
sep(X1,sep(X2,sep(X3,sep(lseg(X4,X4),X5)))) = sep(X1,sep(X2,sep(X3,X5))),
inference(scs_inference,[],[i_0_2059,i_0_2093,i_0_2102,i_0_1098,i_0_1110,i_0_30]) ).
cnf(i_0_2106,plain,
next(X1,X2) != sep(sep(lseg(X3,X3),lseg(X4,X4)),sep(lseg(X5,X5),next(nil,X6))),
inference(scs_inference,[],[i_0_2078,i_0_2059,i_0_2093,i_0_2102,i_0_1098,i_0_1110,i_0_30,i_0_27]) ).
cnf(i_0_2109,plain,
sep(sep(lseg(X1,X1),lseg(X2,X2)),next(nil,X3)) != next(X4,X5),
inference(scs_inference,[],[i_0_33,i_0_2108,i_0_2078,i_0_2059,i_0_2061,i_0_2093,i_0_2102,i_0_1098,i_0_1110,i_0_30,i_0_27,i_0_31,i_0_28]) ).
cnf(i_0_2243,plain,
sep(X1,sep(X2,sep(sep(X3,sep(lseg(X4,X4),X5)),X6))) = sep(X1,sep(X2,sep(sep(X3,X5),X6))),
inference(scs_inference,[],[i_0_2131,i_0_30]) ).
cnf(i_0_2247,plain,
sep(X1,sep(sep(X2,sep(lseg(X3,X3),X4)),X5)) = sep(X1,sep(sep(X2,X4),X5)),
inference(rename_variables,[],[i_0_2131]) ).
cnf(i_0_2123,plain,
next(X1,X2) != sep(sep(lseg(X3,X3),lseg(X4,X4)),next(nil,X5)),
inference(scs_inference,[],[i_0_2109,i_0_2063,i_0_30,i_0_27]) ).
cnf(i_0_2139,plain,
sep(sep(X1,sep(lseg(X2,X2),X3)),sep(lseg(X4,X4),X5)) = sep(sep(X1,X3),X5),
inference(scs_inference,[],[i_0_33,i_0_2123,i_0_2097,i_0_2129,i_0_2127,i_0_1334,i_0_1909,i_0_30,i_0_27,i_0_15,i_0_19,i_0_31,i_0_28]) ).
cnf(i_0_2166,plain,
sep(sep(sep(X1,sep(lseg(X2,X2),X3)),sep(lseg(X4,X4),X5)),X6) = sep(sep(sep(X1,X3),X5),X6),
inference(scs_inference,[],[i_0_33,i_0_2106,i_0_2139,i_0_2136,i_0_2074,i_0_2121,i_0_1924,i_0_376,i_0_30,i_0_27,i_0_31,i_0_28,i_0_1191,i_0_1285,i_0_1323,i_0_1341,i_0_1307,i_0_20,i_0_18,i_0_29]) ).
cnf(i_0_2177,plain,
sep(sep(sep(X1,sep(lseg(X2,X2),X3)),sep(lseg(X4,X4),X5)),X6) = sep(sep(sep(X1,X3),X5),X6),
inference(rename_variables,[],[i_0_2166]) ).
cnf(i_0_2240,plain,
sep(sep(X1,sep(X2,sep(X3,sep(lseg(X4,X4),X5)))),X6) = sep(sep(X1,sep(X2,sep(X3,X5))),X6),
inference(scs_inference,[],[i_0_33,i_0_2220,i_0_2105,i_0_2173,i_0_2214,i_0_2199,i_0_2170,i_0_2193,i_0_2142,i_0_1633,i_0_1496,i_0_30,i_0_27,i_0_15,i_0_19,i_0_31,i_0_28,i_0_1191,i_0_1285,i_0_1323,i_0_1341,i_0_1307,i_0_20,i_0_18,i_0_1123,i_0_29]) ).
cnf(i_0_2308,plain,
sep(sep(X1,X2),X3) = sep(sep(X1,sep(lseg(X4,X4),X2)),X3),
inference(scs_inference,[],[i_0_36,i_0_2291,i_0_2007,i_0_2076,i_0_2264,i_0_2273,i_0_2068,i_0_2287,i_0_2267,i_0_2274,i_0_30,i_0_27,i_0_17,i_0_31,i_0_28,i_0_1191,i_0_1285,i_0_1323,i_0_1341,i_0_1307,i_0_20,i_0_18,i_0_1123,i_0_29]) ).
cnf(i_0_2327,plain,
sep(sep(X1,X2),X3) = sep(sep(X1,sep(lseg(X4,X4),X2)),X3),
inference(rename_variables,[],[i_0_2308]) ).
cnf(i_0_2313,plain,
sep(X1,sep(X2,sep(X3,X4))) = sep(X1,sep(X2,sep(X3,sep(lseg(X5,X5),X4)))),
inference(scs_inference,[],[i_0_2272,i_0_2304,i_0_2310,i_0_1098,i_0_1110,i_0_30]) ).
cnf(i_0_2353,plain,
sep(X1,sep(X2,sep(X3,sep(X4,X5)))) = sep(X1,sep(X2,sep(X3,sep(X4,sep(lseg(X6,X6),X5))))),
inference(scs_inference,[],[i_0_2313,i_0_30]) ).
cnf(c_0_1376,plain,
next(X1,X2) != next(nil,X3),
i_0_1374 ).
cnf(c_0_1377,plain,
$false,
inference(er,[status(thm)],[c_0_1376]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW452-1 : 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 06:49:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 120.26/86.03 % Version : CSE_E---1.7
% 120.26/86.03 % Problem : theBenchmark.p
% 120.26/86.03 % SZS status Unsatisfiable for theBenchmark.p
% 120.26/86.03 % SZS output start CNFRefutation
% See solution above
% 122.43/88.23 % Total time : 85.685s
%------------------------------------------------------------------------------