%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWW460-1 : 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 : n020.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 05:32:26 PM UTC 2026
% Result : Unsatisfiable 115.65s 81.77s
% Output : CNFRefutation 117.55s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_1370)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_1,hypothesis,
heap(sep(next(x3,x4),sep(next(x8,x14),sep(next(x2,x11),sep(lseg(x5,x15),sep(next(x14,x1),sep(next(x12,x11),sep(next(x13,x1),sep(next(x9,x11),sep(next(x16,x14),sep(next(x1,x2),sep(lseg(x4,x15),sep(next(x7,x11),sep(next(x10,x6),sep(lseg(x6,x5),sep(next(x11,x1),sep(next(x15,x6),emp))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
cnf(conclusion_1,negated_conjecture,
~ heap(sep(lseg(x13,x1),sep(lseg(x12,x11),sep(lseg(x8,x14),sep(lseg(x16,x14),sep(lseg(x3,x15),sep(lseg(x2,x11),sep(lseg(x9,x11),sep(lseg(x14,x1),sep(lseg(x15,x6),sep(lseg(x10,x15),sep(lseg(x7,x2),emp)))))))))))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_4) ).
cnf(wellformedness_3,axiom,
~ heap(sep(next(X1,X2),sep(next(X1,X3),X4))),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_3) ).
cnf(wellformedness_2,axiom,
( X1 = nil
| ~ heap(sep(lseg(nil,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_2) ).
cnf(wellformedness_1,axiom,
~ heap(sep(next(nil,X1),X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_1) ).
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(normalization,axiom,
sep(lseg(X1,X1),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(i_0_13,hypothesis,
heap(sep(next(x3,x4),sep(next(x8,x14),sep(next(x2,x11),sep(lseg(x5,x15),sep(next(x14,x1),sep(next(x12,x11),sep(next(x13,x1),sep(next(x9,x11),sep(next(x16,x14),sep(next(x1,x2),sep(lseg(x4,x15),sep(next(x7,x11),sep(next(x10,x6),sep(lseg(x6,x5),sep(next(x11,x1),sep(next(x15,x6),emp))))))))))))))))),
premise_1,
[final] ).
cnf(i_0_14,negated_conjecture,
~ heap(sep(lseg(x13,x1),sep(lseg(x12,x11),sep(lseg(x8,x14),sep(lseg(x16,x14),sep(lseg(x3,x15),sep(lseg(x2,x11),sep(lseg(x9,x11),sep(lseg(x14,x1),sep(lseg(x15,x6),sep(lseg(x10,x15),sep(lseg(x7,x2),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_1376,plain,
~ heap(sep(lseg(nil,X1),sep(lseg(X1,nil),sep(lseg(X2,X2),sep(next(X2,X3),sep(next(X2,X4),X5)))))),
inference(rename_variables,[],[i_0_1370]) ).
cnf(i_0_1378,plain,
~ heap(sep(lseg(nil,X1),sep(lseg(X1,nil),sep(lseg(X2,X2),sep(next(X2,X3),sep(next(X2,X4),X5)))))),
inference(rename_variables,[],[i_0_1370]) ).
cnf(i_0_1380,plain,
~ heap(sep(lseg(nil,X1),sep(lseg(X1,nil),sep(lseg(X2,X2),sep(next(X2,X3),sep(next(X2,X4),X5)))))),
inference(rename_variables,[],[i_0_1370]) ).
cnf(i_0_1377,plain,
~ heap(sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),sep(next(X4,X5),sep(next(X4,X6),X7)))))),
inference(scs_inference,[],[i_0_1370,i_0_1376,i_0_1127,i_0_1115]) ).
cnf(i_0_1379,plain,
~ heap(sep(next(X1,X2),sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),sep(next(X1,X6),X7)))))),
inference(scs_inference,[],[i_0_1370,i_0_1376,i_0_1378,i_0_1127,i_0_1115,i_0_1140]) ).
cnf(i_0_1383,plain,
~ heap(sep(lseg(X1,X1),sep(next(X2,X3),sep(lseg(X4,X4),sep(next(X2,X5),X6))))),
inference(scs_inference,[],[i_0_1375,i_0_214,i_0_1284,i_0_15,i_0_31]) ).
cnf(i_0_1385,plain,
~ heap(sep(lseg(X1,X2),sep(lseg(X2,X1),sep(next(X1,X3),sep(lseg(X4,X4),sep(next(X1,X5),X6)))))),
inference(scs_inference,[],[i_0_1375,i_0_214,i_0_1284,i_0_15,i_0_31,i_0_16]) ).
cnf(i_0_1387,plain,
~ heap(sep(lseg(X1,X2),sep(lseg(X2,X1),sep(next(X2,X3),sep(lseg(X4,X4),sep(next(X2,X5),X6)))))),
inference(scs_inference,[],[i_0_24,i_0_1385,i_0_31]) ).
cnf(i_0_1403,plain,
~ heap(sep(lseg(X1,X1),sep(next(X2,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),sep(next(X2,X6),X7)))))),
inference(scs_inference,[],[i_0_24,i_0_1379,i_0_31]) ).
cnf(i_0_1579,plain,
~ heap(sep(lseg(X1,X2),sep(lseg(X2,X1),sep(next(X1,X3),sep(lseg(X4,X4),sep(next(X1,X5),X6)))))),
inference(rename_variables,[],[i_0_1385]) ).
cnf(i_0_2191,plain,
~ heap(sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),sep(next(X4,X5),sep(next(X4,X6),X7)))))),
inference(rename_variables,[],[i_0_1377]) ).
cnf(i_0_1398,plain,
~ heap(sep(lseg(X1,X2),sep(lseg(X2,X1),sep(next(X2,X3),sep(lseg(X4,X4),sep(next(X2,X5),X6)))))),
inference(rename_variables,[],[i_0_1387]) ).
cnf(i_0_1407,plain,
~ heap(sep(lseg(X1,X1),sep(lseg(X2,X2),sep(next(X3,X4),sep(next(X3,X5),X6))))),
inference(scs_inference,[],[i_0_1405,i_0_400,i_0_31]) ).
cnf(i_0_1671,plain,
~ heap(sep(lseg(X1,X2),sep(lseg(X2,X1),sep(next(X2,X3),sep(lseg(X4,X4),sep(next(X2,X5),X6)))))),
inference(rename_variables,[],[i_0_1387]) ).
cnf(i_0_1470,plain,
sep(sep(lseg(X1,X1),X2),X3) = sep(X2,X3),
inference(scs_inference,[],[i_0_25,i_0_1465,i_0_1456,i_0_720,i_0_1355,i_0_1458,i_0_27,i_0_31,i_0_28,i_0_18,i_0_1102,i_0_29]) ).
cnf(i_0_1475,plain,
sep(X1,sep(sep(lseg(X2,X2),X3),X4)) = sep(X1,sep(X3,X4)),
inference(scs_inference,[],[i_0_1470,i_0_30]) ).
cnf(i_0_1490,plain,
sep(X1,sep(sep(lseg(X2,X2),X3),X4)) = sep(X1,sep(X3,X4)),
inference(rename_variables,[],[i_0_1475]) ).
cnf(i_0_1493,plain,
next(X1,X2) != next(X3,X4),
inference(scs_inference,[],[i_0_25,i_0_1475,i_0_1441,i_0_1479,i_0_27,i_0_31,i_0_28,i_0_29]) ).
cnf(i_0_1494,plain,
~ heap(sep(lseg(next(X1,X2),next(X3,X4)),sep(lseg(next(X1,X2),next(X3,X4)),X5))),
inference(scs_inference,[],[i_0_25,i_0_1475,i_0_1441,i_0_1479,i_0_27,i_0_31,i_0_28,i_0_29,i_0_19]) ).
cnf(i_0_1501,plain,
~ heap(sep(next(next(X1,X2),X3),sep(lseg(next(X1,X2),next(X4,X5)),X6))),
inference(scs_inference,[],[i_0_25,i_0_1475,i_0_1441,i_0_1479,i_0_1362,i_0_27,i_0_31,i_0_28,i_0_29,i_0_19,i_0_17,i_0_15,i_0_20]) ).
cnf(i_0_1503,plain,
~ heap(sep(next(next(X1,X2),next(X3,X4)),sep(lseg(next(X3,X4),next(X1,X2)),sep(next(nil,X5),X6)))),
inference(scs_inference,[],[i_0_25,i_0_1475,i_0_1441,i_0_1479,i_0_1362,i_0_27,i_0_31,i_0_28,i_0_29,i_0_19,i_0_17,i_0_15,i_0_20,i_0_1188]) ).
cnf(i_0_1528,plain,
next(X1,X2) != next(X3,X4),
inference(scs_inference,[],[i_0_1493,i_0_1134,i_0_1210,i_0_1251,i_0_1410,i_0_29,i_0_27]) ).
cnf(i_0_1529,plain,
~ heap(sep(lseg(next(X1,X2),next(X3,X4)),sep(lseg(next(X1,X2),next(X3,X4)),X5))),
inference(scs_inference,[],[i_0_1493,i_0_1134,i_0_1210,i_0_1251,i_0_1410,i_0_29,i_0_27,i_0_19]) ).
cnf(i_0_1552,plain,
~ heap(sep(lseg(X1,X1),sep(lseg(next(X2,X3),next(X4,X5)),sep(lseg(next(X2,X3),next(X4,X5)),X6)))),
inference(scs_inference,[],[i_0_25,i_0_1528,i_0_1494,i_0_1529,i_0_1537,i_0_1533,i_0_1493,i_0_27,i_0_19,i_0_15,i_0_17,i_0_31]) ).
cnf(i_0_1818,plain,
next(X1,X2) != next(X3,X4),
inference(rename_variables,[],[i_0_1528]) ).
cnf(i_0_1561,plain,
~ heap(sep(lseg(X1,X1),sep(lseg(next(X2,X3),next(X4,X5)),sep(lseg(next(X2,X3),next(X4,X5)),X6)))),
inference(rename_variables,[],[i_0_1552]) ).
cnf(i_0_1564,plain,
~ heap(sep(lseg(X1,X1),sep(lseg(next(X2,X3),next(X4,X5)),sep(lseg(next(X2,X3),next(X4,X5)),X6)))),
inference(rename_variables,[],[i_0_1552]) ).
cnf(i_0_1569,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6))))) != next(X7,X8),
inference(scs_inference,[],[i_0_25,i_0_1552,i_0_1561,i_0_1554,i_0_1136,i_0_936,i_0_1438,i_0_1493,i_0_29,i_0_27,i_0_19,i_0_15,i_0_17,i_0_31,i_0_28]) ).
cnf(i_0_1575,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8))))),
inference(scs_inference,[],[i_0_1569,i_0_27]) ).
cnf(i_0_1585,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5)))) != next(X6,X7),
inference(scs_inference,[],[i_0_25,i_0_1503,i_0_1569,i_0_1560,i_0_1385,i_0_13,i_0_1493,i_0_27,i_0_19,i_0_15,i_0_17,i_0_31,i_0_28]) ).
cnf(i_0_1605,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7)))),
inference(scs_inference,[],[i_0_1585,i_0_27]) ).
cnf(i_0_1616,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != next(X5,X6),
inference(scs_inference,[],[i_0_25,i_0_1615,i_0_1585,i_0_1550,i_0_1542,i_0_1525,i_0_1528,i_0_27,i_0_19,i_0_15,i_0_17,i_0_31,i_0_28]) ).
cnf(i_0_1617,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5)))) != next(X6,X7),
inference(rename_variables,[],[i_0_1585]) ).
cnf(i_0_1763,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8))))),
inference(rename_variables,[],[i_0_1575]) ).
cnf(i_0_1632,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6))),
inference(scs_inference,[],[i_0_1616,i_0_27]) ).
cnf(i_0_1656,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7))),
inference(scs_inference,[],[i_0_32,i_0_1632,i_0_1505,i_0_1630,i_0_1638,i_0_1491,i_0_13,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28]) ).
cnf(i_0_1660,plain,
sep(X1,X2) = sep(sep(lseg(X3,X3),X1),X2),
inference(scs_inference,[],[i_0_32,i_0_1657,i_0_1632,i_0_1505,i_0_1630,i_0_1638,i_0_1491,i_0_13,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28,i_0_20,i_0_29]) ).
cnf(i_0_1662,plain,
next(X1,X2) != sep(lseg(X3,X3),next(X4,X5)),
inference(scs_inference,[],[i_0_1656,i_0_30]) ).
cnf(i_0_1663,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7))),
inference(rename_variables,[],[i_0_1656]) ).
cnf(i_0_1696,plain,
sep(X1,sep(X2,X3)) = sep(X1,sep(sep(lseg(X4,X4),X2),X3)),
inference(scs_inference,[],[i_0_1660,i_0_30]) ).
cnf(i_0_1664,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(lseg(X5,X5),next(X6,X7)),
inference(scs_inference,[],[i_0_1656,i_0_1663,i_0_30,i_0_27]) ).
cnf(i_0_1676,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8))),
inference(scs_inference,[],[i_0_32,i_0_1675,i_0_1656,i_0_1663,i_0_1633,i_0_1489,i_0_1387,i_0_1616,i_0_30,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28]) ).
cnf(i_0_1697,plain,
sep(lseg(X1,X1),next(X2,X3)) != next(X4,X5),
inference(scs_inference,[],[i_0_1662,i_0_1660,i_0_30,i_0_27]) ).
cnf(i_0_1708,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),next(X5,X6)),
inference(scs_inference,[],[i_0_32,i_0_1662,i_0_1660,i_0_1647,i_0_894,i_0_1443,i_0_1547,i_0_1528,i_0_30,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28]) ).
cnf(i_0_1736,plain,
sep(X1,sep(X2,X3)) = sep(X1,sep(sep(lseg(X4,X4),X2),X3)),
inference(rename_variables,[],[i_0_1696]) ).
cnf(i_0_1831,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8))),
inference(scs_inference,[],[i_0_1676,i_0_1167,i_0_30,i_0_27]) ).
cnf(i_0_1726,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),next(X5,X6)),
inference(scs_inference,[],[i_0_1708,i_0_1716,i_0_1723,i_0_1127,i_0_1115,i_0_27]) ).
cnf(i_0_1735,plain,
sep(lseg(X1,X1),sep(sep(lseg(X2,X2),lseg(X3,X3)),next(X4,X5))) != sep(lseg(X6,X6),next(X7,X8)),
inference(scs_inference,[],[i_0_1697,i_0_1708,i_0_1664,i_0_1605,i_0_1696,i_0_1521,i_0_1698,i_0_1716,i_0_1723,i_0_1405,i_0_13,i_0_1127,i_0_1115,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28]) ).
cnf(i_0_1737,plain,
sep(sep(lseg(X1,X1),lseg(X2,X2)),next(X3,X4)) != next(X5,X6),
inference(scs_inference,[],[i_0_1697,i_0_1708,i_0_1664,i_0_1605,i_0_1696,i_0_1521,i_0_1698,i_0_1716,i_0_1723,i_0_1405,i_0_13,i_0_1127,i_0_1115,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28,i_0_30]) ).
cnf(i_0_1739,plain,
next(X1,X2) != sep(sep(lseg(X3,X3),lseg(X4,X4)),next(X5,X6)),
inference(scs_inference,[],[i_0_1737,i_0_1163,i_0_30,i_0_27]) ).
cnf(i_0_1751,plain,
sep(lseg(X1,X1),sep(sep(lseg(X2,X2),lseg(X3,X3)),next(X4,X5))) != next(X6,X7),
inference(scs_inference,[],[i_0_32,i_0_1750,i_0_1737,i_0_1726,i_0_1163,i_0_1720,i_0_1724,i_0_1670,i_0_30,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28]) ).
cnf(i_0_1756,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(sep(lseg(X4,X4),lseg(X5,X5)),next(X6,X7))),
inference(scs_inference,[],[i_0_1751,i_0_27]) ).
cnf(i_0_1768,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(sep(lseg(X4,X4),lseg(X5,X5)),next(X6,X7)),
inference(scs_inference,[],[i_0_32,i_0_1739,i_0_1751,i_0_1727,i_0_1575,i_0_1748,i_0_789,i_0_1578,i_0_1697,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28]) ).
cnf(i_0_1788,plain,
sep(sep(lseg(X1,X1),lseg(X2,X2)),next(X3,X4)) != sep(lseg(X5,X5),next(X6,X7)),
inference(scs_inference,[],[i_0_1768,i_0_27]) ).
cnf(i_0_1792,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(sep(lseg(X4,X4),lseg(X5,X5)),next(X6,X7)),
inference(rename_variables,[],[i_0_1768]) ).
cnf(i_0_1798,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(sep(lseg(X5,X5),lseg(X6,X6)),next(X7,X8)),
inference(scs_inference,[],[i_0_32,i_0_1768,i_0_1792,i_0_1740,i_0_1665,i_0_1623,i_0_1605,i_0_13,i_0_27,i_0_19,i_0_17,i_0_15,i_0_31,i_0_28]) ).
cnf(i_0_1812,plain,
sep(sep(lseg(X1,X1),lseg(X2,X2)),next(X3,X4)) != sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8))),
inference(scs_inference,[],[i_0_1798,i_0_27]) ).
cnf(i_0_1835,plain,
sep(sep(lseg(X1,X1),lseg(X2,X2)),next(X3,X4)) != sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8))),
inference(rename_variables,[],[i_0_1812]) ).
cnf(i_0_1879,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(sep(lseg(X5,X5),lseg(X6,X6)),next(X7,X8))),
inference(scs_inference,[],[i_0_33,i_0_1878,i_0_1847,i_0_1854,i_0_1496,i_0_27,i_0_19,i_0_31,i_0_28]) ).
cnf(i_0_1905,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8)))),
inference(scs_inference,[],[i_0_33,i_0_1879,i_0_1874,i_0_1435,i_0_1030,i_0_1892,i_0_19,i_0_17,i_0_31,i_0_28]) ).
cnf(i_0_1907,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5)))) != sep(lseg(X6,X6),next(X7,X8)),
inference(scs_inference,[],[i_0_33,i_0_1879,i_0_1874,i_0_1435,i_0_1030,i_0_1892,i_0_19,i_0_17,i_0_31,i_0_28,i_0_27]) ).
cnf(i_0_1912,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8)))),
inference(rename_variables,[],[i_0_1905]) ).
cnf(i_0_1916,plain,
sep(sep(X1,sep(lseg(X2,X2),X3)),X4) = sep(sep(X1,X3),X4),
inference(scs_inference,[],[i_0_33,i_0_1907,i_0_1905,i_0_1770,i_0_429,i_0_13,i_0_19,i_0_31,i_0_28,i_0_20,i_0_29]) ).
cnf(i_0_1917,plain,
sep(X1,sep(X2,sep(lseg(X3,X3),X4))) = sep(X1,sep(X2,X4)),
inference(scs_inference,[],[i_0_33,i_0_1907,i_0_1905,i_0_1770,i_0_429,i_0_13,i_0_19,i_0_31,i_0_28,i_0_20,i_0_29,i_0_30]) ).
cnf(i_0_1949,plain,
sep(X1,sep(sep(X2,sep(lseg(X3,X3),X4)),X5)) = sep(X1,sep(sep(X2,X4),X5)),
inference(scs_inference,[],[i_0_1916,i_0_30]) ).
cnf(i_0_1954,plain,
sep(sep(X1,sep(lseg(X2,X2),X3)),X4) = sep(sep(X1,X3),X4),
inference(rename_variables,[],[i_0_1916]) ).
cnf(i_0_1985,plain,
sep(X1,sep(X2,sep(X3,sep(lseg(X4,X4),X5)))) = sep(X1,sep(X2,sep(X3,X5))),
inference(scs_inference,[],[i_0_1917,i_0_30]) ).
cnf(i_0_2006,plain,
sep(X1,sep(sep(X2,sep(lseg(X3,X3),X4)),X5)) = sep(X1,sep(sep(X2,X4),X5)),
inference(rename_variables,[],[i_0_1949]) ).
cnf(i_0_2027,plain,
sep(X1,sep(X2,sep(X3,sep(X4,sep(lseg(X5,X5),X6))))) = sep(X1,sep(X2,sep(X3,sep(X4,X6)))),
inference(scs_inference,[],[i_0_1985,i_0_30]) ).
cnf(i_0_2107,plain,
sep(X1,sep(X2,sep(X3,sep(X4,sep(lseg(X5,X5),X6))))) = sep(X1,sep(X2,sep(X3,sep(X4,X6)))),
inference(rename_variables,[],[i_0_2027]) ).
cnf(i_0_1973,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(lseg(X5,X5),next(X6,X7)),
inference(scs_inference,[],[i_0_1955,i_0_30]) ).
cnf(i_0_1986,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7))),
inference(scs_inference,[],[i_0_1973,i_0_1917,i_0_30,i_0_27]) ).
cnf(i_0_1990,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != sep(lseg(X5,X5),next(X6,X7)),
inference(rename_variables,[],[i_0_1973]) ).
cnf(i_0_1994,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8)))),
inference(scs_inference,[],[i_0_33,i_0_1993,i_0_1973,i_0_1917,i_0_1975,i_0_1658,i_0_1875,i_0_30,i_0_27,i_0_19,i_0_17,i_0_31,i_0_28]) ).
cnf(i_0_1999,plain,
sep(sep(X1,sep(X2,sep(lseg(X3,X3),X4))),X5) = sep(sep(X1,sep(X2,X4)),X5),
inference(scs_inference,[],[i_0_33,i_0_1993,i_0_1973,i_0_1990,i_0_1917,i_0_1975,i_0_1658,i_0_1875,i_0_30,i_0_27,i_0_19,i_0_17,i_0_31,i_0_28,i_0_20,i_0_29]) ).
cnf(i_0_2000,plain,
next(X1,X2) != sep(lseg(X3,X3),next(X4,X5)),
inference(scs_inference,[],[i_0_1986,i_0_30]) ).
cnf(i_0_2001,plain,
sep(lseg(X1,X1),next(X2,X3)) != sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7))),
inference(rename_variables,[],[i_0_1986]) ).
cnf(i_0_2002,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5)))) != sep(lseg(X6,X6),next(X7,X8)),
inference(scs_inference,[],[i_0_1986,i_0_1994,i_0_30,i_0_27]) ).
cnf(i_0_2028,plain,
sep(lseg(X1,X1),next(X2,X3)) != next(X4,X5),
inference(scs_inference,[],[i_0_2000,i_0_1985,i_0_30,i_0_27]) ).
cnf(i_0_2054,plain,
sep(sep(X1,sep(X2,sep(lseg(X3,X3),X4))),X5) = sep(sep(X1,sep(X2,X4)),X5),
inference(rename_variables,[],[i_0_1999]) ).
cnf(i_0_2048,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),next(X3,X4))) != next(X5,X6),
inference(scs_inference,[],[i_0_2002,i_0_30]) ).
cnf(i_0_2049,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5)))) != sep(lseg(X6,X6),next(X7,X8)),
inference(rename_variables,[],[i_0_2002]) ).
cnf(i_0_2053,plain,
sep(sep(X1,sep(X2,sep(lseg(X3,X3),X4))),sep(lseg(X5,X5),X6)) = sep(sep(X1,sep(X2,X4)),X6),
inference(scs_inference,[],[i_0_33,i_0_2052,i_0_2002,i_0_2007,i_0_1999,i_0_2029,i_0_30,i_0_27,i_0_31,i_0_28]) ).
cnf(i_0_2057,plain,
sep(lseg(X1,X1),next(X2,X3)) != next(X4,X5),
inference(rename_variables,[],[i_0_2028]) ).
cnf(i_0_2061,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6))),
inference(scs_inference,[],[i_0_2048,i_0_2053,i_0_30,i_0_27]) ).
cnf(i_0_2063,plain,
sep(sep(X1,sep(X2,sep(lseg(X3,X3),X4))),sep(lseg(X5,X5),X6)) = sep(sep(X1,sep(X2,X4)),X6),
inference(rename_variables,[],[i_0_2053]) ).
cnf(i_0_2075,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),next(X4,X5)))) != next(X6,X7),
inference(scs_inference,[],[i_0_2050,i_0_30]) ).
cnf(i_0_2105,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7)))),
inference(scs_inference,[],[i_0_36,i_0_2075,i_0_30,i_0_27]) ).
cnf(i_0_2108,plain,
sep(lseg(X1,X1),sep(lseg(X2,X2),sep(lseg(X3,X3),sep(lseg(X4,X4),next(X5,X6))))) != next(X7,X8),
inference(scs_inference,[],[i_0_36,i_0_2075,i_0_1509,i_0_2027,i_0_30,i_0_27,i_0_31,i_0_28]) ).
cnf(i_0_2121,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),sep(lseg(X6,X6),next(X7,X8))))),
inference(scs_inference,[],[i_0_2108,i_0_27]) ).
cnf(i_0_2138,plain,
next(X1,X2) != sep(lseg(X3,X3),sep(lseg(X4,X4),sep(lseg(X5,X5),next(X6,X7)))),
inference(rename_variables,[],[i_0_2105]) ).
cnf(i_0_2135,plain,
sep(sep(X1,X2),X3) = sep(sep(X1,sep(lseg(X4,X4),X2)),X3),
inference(scs_inference,[],[i_0_36,i_0_2105,i_0_2127,i_0_2067,i_0_372,i_0_13,i_0_27,i_0_31,i_0_28,i_0_20,i_0_29]) ).
cnf(i_0_2180,plain,
sep(sep(X1,X2),X3) = sep(sep(X1,sep(lseg(X4,X4),X2)),X3),
inference(rename_variables,[],[i_0_2135]) ).
cnf(c_0_1495,plain,
next(X1,X2) != next(X3,X4),
i_0_1493 ).
cnf(c_0_1496,plain,
$false,
inference(er,[status(thm)],[c_0_1495]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW460-1 : 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
% 0.14/0.32 % Computer : n020.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 06:50:50 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 115.65/81.77 % Version : CSE_E---1.7
% 115.65/81.77 % Problem : theBenchmark.p
% 115.65/81.77 % SZS status Unsatisfiable for theBenchmark.p
% 115.65/81.77 % SZS output start CNFRefutation
% See solution above
% 117.55/83.68 % Total time : 81.433s
%------------------------------------------------------------------------------