TSTP Solution File: SWW410-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW410-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 : Mon Jun 24 18:17:06 EDT 2024
% Result : Unsatisfiable 155.03s 21.31s
% Output : CNFRefutation 155.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_51,plain,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
cnf(c_53,plain,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
cnf(c_54,negated_conjecture,
~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
cnf(c_55,plain,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
cnf(c_56,plain,
sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
cnf(c_60,plain,
( ~ heap(sep(next(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_4) ).
cnf(c_62,plain,
( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
| X0 = X1
| heap(sep(lseg(X0,X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
cnf(c_63,plain,
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2)))
| heap(sep(lseg(X0,nil),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
cnf(c_65,plain,
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4))))
| X2 = X3
| heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
cnf(c_146,plain,
heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))),
inference(demodulation,[status(thm)],[c_53,c_55]) ).
cnf(c_154,plain,
lseg(x3,nil) = sP0_iProver_def,
definition ).
cnf(c_155,plain,
lseg(x2,x3) = sP1_iProver_def,
definition ).
cnf(c_156,plain,
sep(sP1_iProver_def,emp) = sP2_iProver_def,
definition ).
cnf(c_157,plain,
sep(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_158,negated_conjecture,
~ heap(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_54,c_155,c_156,c_154,c_157]) ).
cnf(c_159,plain,
X0 = X0,
theory(equality) ).
cnf(c_161,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_164,plain,
( X0 != X1
| X2 != X3
| sep(X0,X2) = sep(X1,X3) ),
theory(equality) ).
cnf(c_165,plain,
( X0 != X1
| ~ heap(X1)
| heap(X0) ),
theory(equality) ).
cnf(c_394,plain,
( X0 != sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))
| ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))))
| heap(X0) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_411,plain,
( sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) != X0
| X1 != X0
| X1 = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
inference(instantiation,[status(thm)],[c_161]) ).
cnf(c_413,plain,
( sep(X0,X1) != sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))
| ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))))
| heap(sep(X0,X1)) ),
inference(instantiation,[status(thm)],[c_394]) ).
cnf(c_414,plain,
( X0 != lseg(x3,nil)
| X1 != sep(lseg(x2,x1),sep(next(x1,x3),emp))
| sep(X0,X1) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
inference(instantiation,[status(thm)],[c_164]) ).
cnf(c_459,plain,
( sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) != sep(X0,X1)
| X2 != sep(X0,X1)
| X2 = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
inference(instantiation,[status(thm)],[c_411]) ).
cnf(c_460,plain,
( sep(lseg(x2,x1),sep(next(x1,x3),emp)) != X0
| lseg(x3,nil) != X1
| sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) = sep(X1,X0) ),
inference(instantiation,[status(thm)],[c_164]) ).
cnf(c_474,plain,
( lseg(x3,nil) != lseg(x3,nil)
| X0 != sep(lseg(x2,x1),sep(next(x1,x3),emp))
| sep(lseg(x3,nil),X0) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
inference(instantiation,[status(thm)],[c_414]) ).
cnf(c_475,plain,
lseg(x3,nil) = lseg(x3,nil),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_538,plain,
( sep(next(x1,x3),sep(lseg(x2,x1),emp)) != sep(lseg(x2,x1),sep(next(x1,x3),emp))
| lseg(x3,nil) != lseg(x3,nil)
| sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
inference(instantiation,[status(thm)],[c_474]) ).
cnf(c_539,plain,
sep(next(x1,x3),sep(lseg(x2,x1),emp)) = sep(lseg(x2,x1),sep(next(x1,x3),emp)),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_596,plain,
( sep(lseg(x2,x1),sep(next(x1,x3),emp)) != X0
| lseg(x3,nil) != sP0_iProver_def
| sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) = sep(sP0_iProver_def,X0) ),
inference(instantiation,[status(thm)],[c_460]) ).
cnf(c_695,plain,
( sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))) != sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))
| ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))))
| heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp)))) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_755,plain,
( sep(lseg(x2,x1),sep(next(x1,x3),emp)) != sep(next(x1,x3),sep(lseg(x2,x1),emp))
| lseg(x3,nil) != sP0_iProver_def
| sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) = sep(sP0_iProver_def,sep(next(x1,x3),sep(lseg(x2,x1),emp))) ),
inference(instantiation,[status(thm)],[c_596]) ).
cnf(c_756,plain,
sep(lseg(x2,x1),sep(next(x1,x3),emp)) = sep(next(x1,x3),sep(lseg(x2,x1),emp)),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_981,plain,
( X0 != sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp)))
| ~ heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))))
| heap(X0) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_998,plain,
( sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) != sep(sP0_iProver_def,sep(next(x1,x3),sep(lseg(x2,x1),emp)))
| X0 != sep(sP0_iProver_def,sep(next(x1,x3),sep(lseg(x2,x1),emp)))
| X0 = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
inference(instantiation,[status(thm)],[c_459]) ).
cnf(c_1062,plain,
sep(X0,sep(X1,sep(X2,X3))) = sep(X1,sep(X2,sep(X0,X3))),
inference(superposition,[status(thm)],[c_55,c_55]) ).
cnf(c_1624,plain,
( sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))) != sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp)))
| ~ heap(sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))))
| heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp)))) ),
inference(instantiation,[status(thm)],[c_981]) ).
cnf(c_1625,plain,
sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))) = sep(lseg(x3,nil),sep(next(x1,x3),sep(lseg(x2,x1),emp))),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_1658,plain,
sep(next(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))) = sep(sP0_iProver_def,sep(next(x1,x3),sep(lseg(x2,x1),emp))),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_3178,plain,
sep(sP0_iProver_def,sep(X0,sP2_iProver_def)) = sep(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_157,c_55]) ).
cnf(c_3346,plain,
sep(X0,sep(sP0_iProver_def,sP2_iProver_def)) = sep(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_3178,c_55]) ).
cnf(c_3436,plain,
( ~ heap(sep(next(x1,x3),sep(lseg(x3,nil),sep(lseg(x2,x1),emp))))
| x1 = x3
| heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_3479,plain,
( sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) != sep(sP0_iProver_def,sep(next(x1,x3),sep(lseg(x2,x1),emp)))
| sep(next(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))) != sep(sP0_iProver_def,sep(next(x1,x3),sep(lseg(x2,x1),emp)))
| sep(next(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))) = sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))) ),
inference(instantiation,[status(thm)],[c_998]) ).
cnf(c_3530,plain,
( ~ heap(sep(next(X0,X1),X2))
| X0 = X1
| heap(sep(lseg(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_56,c_62]) ).
cnf(c_3629,plain,
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,x3),sep(sP0_iProver_def,X2))))
| nil = x3
| heap(sep(lseg(X0,x3),sep(lseg(x3,nil),X2))) ),
inference(superposition,[status(thm)],[c_154,c_65]) ).
cnf(c_3650,plain,
sep(X0,sep(X1,sep(sP0_iProver_def,sP2_iProver_def))) = sep(X1,sep(X0,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_3346,c_55]) ).
cnf(c_4965,plain,
sep(lseg(X0,X0),sep(X1,X2)) = sep(X1,X2),
inference(superposition,[status(thm)],[c_56,c_55]) ).
cnf(c_4966,plain,
sep(sP1_iProver_def,sep(X0,emp)) = sep(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_156,c_55]) ).
cnf(c_4967,plain,
sep(sP0_iProver_def,sep(X0,sP2_iProver_def)) = sep(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_157,c_55]) ).
cnf(c_4993,plain,
sep(X0,sep(lseg(X1,X1),X2)) = sep(X0,X2),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_5030,plain,
( ~ heap(sep(next(x3,X0),sep(sP0_iProver_def,X1)))
| nil = x3 ),
inference(superposition,[status(thm)],[c_154,c_60]) ).
cnf(c_5130,plain,
sep(lseg(X0,X0),sP3_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_157,c_4965]) ).
cnf(c_5292,plain,
sep(lseg(X0,X0),sP2_iProver_def) = sep(sP1_iProver_def,emp),
inference(superposition,[status(thm)],[c_4966,c_4993]) ).
cnf(c_5309,plain,
sep(lseg(X0,X0),sP3_iProver_def) = sep(sP0_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_4967,c_4993]) ).
cnf(c_5806,plain,
sep(lseg(X0,X0),sP3_iProver_def) = sep(sP0_iProver_def,sep(sP1_iProver_def,emp)),
inference(superposition,[status(thm)],[c_5292,c_4967]) ).
cnf(c_6723,plain,
sep(sP0_iProver_def,sep(sP1_iProver_def,emp)) = sep(sP0_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_5806,c_5309]) ).
cnf(c_6724,plain,
sep(sP0_iProver_def,sep(sP1_iProver_def,emp)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_5806,c_5130]) ).
cnf(c_6872,plain,
sep(sP0_iProver_def,sep(X0,sep(sP1_iProver_def,emp))) = sep(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_6724,c_55]) ).
cnf(c_7613,plain,
( ~ heap(sep(next(x3,X0),sP3_iProver_def))
| nil = x3 ),
inference(superposition,[status(thm)],[c_6724,c_5030]) ).
cnf(c_7615,plain,
( ~ heap(sep(next(x3,X0),sep(X1,sP3_iProver_def)))
| nil = x3 ),
inference(superposition,[status(thm)],[c_6872,c_5030]) ).
cnf(c_8000,plain,
sep(X0,sep(X1,sP3_iProver_def)) = sep(X1,sep(X0,sP3_iProver_def)),
inference(light_normalisation,[status(thm)],[c_3650,c_157]) ).
cnf(c_8407,plain,
( X0 != sep(lseg(x1,nil),sep(lseg(x2,x1),emp))
| ~ heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| heap(X0) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_8440,plain,
( sep(next(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))) != sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp)))
| ~ heap(sep(lseg(x3,nil),sep(lseg(x2,x1),sep(next(x1,x3),emp))))
| heap(sep(next(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp)))) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_14188,plain,
( ~ heap(sep(X0,sep(next(x3,X1),sP3_iProver_def)))
| nil = x3 ),
inference(superposition,[status(thm)],[c_8000,c_7615]) ).
cnf(c_17166,plain,
( sep(lseg(x2,x1),sep(lseg(x1,nil),emp)) != sep(lseg(x1,nil),sep(lseg(x2,x1),emp))
| ~ heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))
| heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp))) ),
inference(instantiation,[status(thm)],[c_8407]) ).
cnf(c_17167,plain,
sep(lseg(x2,x1),sep(lseg(x1,nil),emp)) = sep(lseg(x1,nil),sep(lseg(x2,x1),emp)),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_22843,plain,
( ~ heap(sep(lseg(x2,x1),sep(lseg(x1,nil),emp)))
| heap(sep(lseg(x2,nil),emp)) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_42360,plain,
sep(sP1_iProver_def,sep(X0,emp)) = sep(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_156,c_55]) ).
cnf(c_42563,plain,
sep(lseg(X0,X0),sP2_iProver_def) = sep(sP1_iProver_def,emp),
inference(superposition,[status(thm)],[c_56,c_42360]) ).
cnf(c_42636,plain,
( ~ heap(sep(lseg(X0,nil),sep(sP1_iProver_def,emp)))
| heap(sep(lseg(X0,nil),sP2_iProver_def)) ),
inference(superposition,[status(thm)],[c_42563,c_63]) ).
cnf(c_43191,plain,
( ~ heap(sep(sP1_iProver_def,emp))
| heap(sep(lseg(nil,nil),sP2_iProver_def)) ),
inference(superposition,[status(thm)],[c_56,c_42636]) ).
cnf(c_46933,plain,
sP3_iProver_def = sP3_iProver_def,
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_59405,plain,
( sP3_iProver_def != X0
| ~ heap(X0)
| heap(sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_64268,plain,
( X0 != X1
| sP3_iProver_def != X1
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_161]) ).
cnf(c_70224,plain,
( X0 != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_64268]) ).
cnf(c_71714,plain,
sep(lseg(X0,X0),sep(X1,X2)) = sep(X1,X2),
inference(superposition,[status(thm)],[c_56,c_55]) ).
cnf(c_71715,plain,
sep(sP1_iProver_def,sep(X0,emp)) = sep(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_156,c_55]) ).
cnf(c_71896,plain,
sep(lseg(X0,X0),sP2_iProver_def) = sep(sP1_iProver_def,emp),
inference(superposition,[status(thm)],[c_56,c_71715]) ).
cnf(c_71991,plain,
sep(lseg(X0,X0),sep(X1,sP2_iProver_def)) = sep(X1,sep(sP1_iProver_def,emp)),
inference(superposition,[status(thm)],[c_71896,c_55]) ).
cnf(c_73074,plain,
sep(lseg(X0,X0),sep(sP1_iProver_def,emp)) = sep(lseg(X1,X1),sP2_iProver_def),
inference(superposition,[status(thm)],[c_56,c_71991]) ).
cnf(c_76295,plain,
( sep(sP0_iProver_def,sP2_iProver_def) != sP3_iProver_def
| sP3_iProver_def != sP3_iProver_def
| sP3_iProver_def = sep(sP0_iProver_def,sP2_iProver_def) ),
inference(instantiation,[status(thm)],[c_70224]) ).
cnf(c_76413,plain,
sep(lseg(X0,X0),sP2_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_156,c_71714]) ).
cnf(c_86585,plain,
( X0 != sep(sP0_iProver_def,sP2_iProver_def)
| sP3_iProver_def != sep(sP0_iProver_def,sP2_iProver_def)
| sP3_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_64268]) ).
cnf(c_88205,plain,
( sep(X0,X1) != sep(sP0_iProver_def,sP2_iProver_def)
| sP3_iProver_def != sep(sP0_iProver_def,sP2_iProver_def)
| sP3_iProver_def = sep(X0,X1) ),
inference(instantiation,[status(thm)],[c_86585]) ).
cnf(c_99271,plain,
( sep(sP0_iProver_def,sep(sP1_iProver_def,emp)) != sep(sP0_iProver_def,sP2_iProver_def)
| sP3_iProver_def != sep(sP0_iProver_def,sP2_iProver_def)
| sP3_iProver_def = sep(sP0_iProver_def,sep(sP1_iProver_def,emp)) ),
inference(instantiation,[status(thm)],[c_88205]) ).
cnf(c_106917,plain,
sep(lseg(X0,X0),sep(sP1_iProver_def,emp)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_73074,c_76413]) ).
cnf(c_108180,plain,
( ~ heap(sep(lseg(X0,nil),sP2_iProver_def))
| heap(sep(lseg(X0,nil),sep(sP1_iProver_def,emp))) ),
inference(superposition,[status(thm)],[c_106917,c_63]) ).
cnf(c_109052,plain,
( sP3_iProver_def != sep(sP0_iProver_def,sep(sP1_iProver_def,emp))
| ~ heap(sep(sP0_iProver_def,sep(sP1_iProver_def,emp)))
| heap(sP3_iProver_def) ),
inference(instantiation,[status(thm)],[c_59405]) ).
cnf(c_166323,plain,
( ~ heap(sep(lseg(x3,nil),sP2_iProver_def))
| heap(sep(sP0_iProver_def,sep(sP1_iProver_def,emp))) ),
inference(superposition,[status(thm)],[c_154,c_108180]) ).
cnf(c_174408,plain,
sep(lseg(X0,X0),sep(X1,X2)) = sep(X1,X2),
inference(superposition,[status(thm)],[c_56,c_55]) ).
cnf(c_174409,plain,
sep(sP1_iProver_def,sep(X0,emp)) = sep(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_156,c_55]) ).
cnf(c_174422,plain,
sep(X0,sep(lseg(X1,X1),X2)) = sep(X0,X2),
inference(superposition,[status(thm)],[c_55,c_56]) ).
cnf(c_174685,plain,
sep(X0,sep(sP1_iProver_def,emp)) = sep(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_174409,c_55]) ).
cnf(c_174872,plain,
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),sP2_iProver_def)))
| heap(sep(lseg(X0,nil),sep(sP1_iProver_def,emp))) ),
inference(superposition,[status(thm)],[c_174685,c_63]) ).
cnf(c_175381,plain,
( ~ heap(sep(lseg(X0,nil),sP2_iProver_def))
| heap(sep(lseg(X0,nil),sep(sP1_iProver_def,emp))) ),
inference(superposition,[status(thm)],[c_56,c_174872]) ).
cnf(c_181223,plain,
sep(lseg(X0,X0),X1) = sep(lseg(X2,X2),X1),
inference(superposition,[status(thm)],[c_174422,c_174408]) ).
cnf(c_214948,plain,
( ~ heap(sep(lseg(X0,X0),sep(next(x3,X1),sP3_iProver_def)))
| nil = x3 ),
inference(superposition,[status(thm)],[c_181223,c_14188]) ).
cnf(c_244459,plain,
( ~ heap(sep(lseg(x3,nil),sP2_iProver_def))
| heap(sep(sP0_iProver_def,sep(sP1_iProver_def,emp))) ),
inference(superposition,[status(thm)],[c_154,c_175381]) ).
cnf(c_244465,plain,
~ heap(sep(lseg(x3,nil),sP2_iProver_def)),
inference(global_subsumption_just,[status(thm)],[c_244459,c_157,c_158,c_6723,c_46933,c_76295,c_99271,c_109052,c_166323]) ).
cnf(c_258609,plain,
( ~ heap(sep(next(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))))
| x1 = x3
| heap(sep(lseg(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp)))) ),
inference(instantiation,[status(thm)],[c_3530]) ).
cnf(c_259824,plain,
( X0 != sep(lseg(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp)))
| ~ heap(sep(lseg(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))))
| heap(X0) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_263309,plain,
( sep(X0,X1) != sep(lseg(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp)))
| ~ heap(sep(lseg(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))))
| heap(sep(X0,X1)) ),
inference(instantiation,[status(thm)],[c_259824]) ).
cnf(c_276999,plain,
( sep(lseg(x2,x1),sep(lseg(x1,x3),sep(sP0_iProver_def,emp))) != sep(lseg(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp)))
| ~ heap(sep(lseg(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))))
| heap(sep(lseg(x2,x1),sep(lseg(x1,x3),sep(sP0_iProver_def,emp)))) ),
inference(instantiation,[status(thm)],[c_263309]) ).
cnf(c_277000,plain,
sep(lseg(x2,x1),sep(lseg(x1,x3),sep(sP0_iProver_def,emp))) = sep(lseg(x1,x3),sep(sP0_iProver_def,sep(lseg(x2,x1),emp))),
inference(instantiation,[status(thm)],[c_1062]) ).
cnf(c_280024,plain,
( X0 != sep(lseg(x2,x3),sep(lseg(x3,nil),emp))
| ~ heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))
| heap(X0) ),
inference(instantiation,[status(thm)],[c_165]) ).
cnf(c_282007,plain,
( ~ heap(sep(lseg(x2,x1),sep(lseg(x1,x3),sep(sP0_iProver_def,emp))))
| nil = x3
| heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp))) ),
inference(instantiation,[status(thm)],[c_3629]) ).
cnf(c_293829,plain,
( sep(lseg(x3,nil),sep(lseg(x2,x3),emp)) != sep(lseg(x2,x3),sep(lseg(x3,nil),emp))
| ~ heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))
| heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))) ),
inference(instantiation,[status(thm)],[c_280024]) ).
cnf(c_293830,plain,
sep(lseg(x3,nil),sep(lseg(x2,x3),emp)) = sep(lseg(x2,x3),sep(lseg(x3,nil),emp)),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_294120,plain,
nil = x3,
inference(global_subsumption_just,[status(thm)],[c_214948,c_51,c_54,c_146,c_154,c_755,c_756,c_1658,c_3479,c_8440,c_258609,c_276999,c_277000,c_282007,c_293829,c_293830]) ).
cnf(c_294143,plain,
~ heap(sep(lseg(nil,nil),sP2_iProver_def)),
inference(superposition,[status(thm)],[c_294120,c_244465]) ).
cnf(c_434978,plain,
sep(sP1_iProver_def,sep(X0,emp)) = sep(X0,sP2_iProver_def),
inference(superposition,[status(thm)],[c_156,c_55]) ).
cnf(c_435042,plain,
nil = x3,
inference(global_subsumption_just,[status(thm)],[c_7613,c_51,c_54,c_146,c_154,c_755,c_756,c_1658,c_3479,c_8440,c_258609,c_276999,c_277000,c_282007,c_293829,c_293830]) ).
cnf(c_435045,plain,
lseg(x2,nil) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_435042,c_155]) ).
cnf(c_435225,plain,
( ~ heap(sep(sP1_iProver_def,sep(lseg(nil,nil),X0)))
| heap(sep(lseg(x2,nil),X0)) ),
inference(superposition,[status(thm)],[c_435045,c_63]) ).
cnf(c_435380,plain,
( ~ heap(sep(lseg(nil,nil),sP2_iProver_def))
| heap(sep(lseg(x2,nil),emp)) ),
inference(superposition,[status(thm)],[c_434978,c_435225]) ).
cnf(c_553987,plain,
heap(sep(lseg(x2,nil),emp)),
inference(global_subsumption_just,[status(thm)],[c_435380,c_51,c_146,c_475,c_538,c_539,c_695,c_1624,c_1625,c_3436,c_17166,c_17167,c_22843]) ).
cnf(c_553989,plain,
heap(sep(sP1_iProver_def,emp)),
inference(superposition,[status(thm)],[c_435045,c_553987]) ).
cnf(c_553990,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_553989,c_294143,c_43191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW410-1 : TPTP v8.2.0. Released v5.2.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 07:24:54 EDT 2024
% 0.19/0.35 % CPUTime :
% 0.20/0.49 Running first-order theorem proving
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 155.03/21.31 % SZS status Started for theBenchmark.p
% 155.03/21.31 % SZS status Unsatisfiable for theBenchmark.p
% 155.03/21.31
% 155.03/21.31 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 155.03/21.31
% 155.03/21.31 ------ iProver source info
% 155.03/21.31
% 155.03/21.31 git: date: 2024-06-12 09:56:46 +0000
% 155.03/21.31 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 155.03/21.31 git: non_committed_changes: false
% 155.03/21.31
% 155.03/21.31 ------ Parsing...successful
% 155.03/21.31
% 155.03/21.31
% 155.03/21.31
% 155.03/21.31 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 155.03/21.31
% 155.03/21.31 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 155.03/21.31
% 155.03/21.31 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 155.03/21.31 ------ Proving...
% 155.03/21.31 ------ Problem Properties
% 155.03/21.31
% 155.03/21.31
% 155.03/21.31 clauses 21
% 155.03/21.31 conjectures 1
% 155.03/21.31 EPR 5
% 155.03/21.31 Horn 18
% 155.03/21.31 unary 14
% 155.03/21.31 binary 4
% 155.03/21.31 lits 31
% 155.03/21.31 lits eq 16
% 155.03/21.31 fd_pure 0
% 155.03/21.31 fd_pseudo 0
% 155.03/21.31 fd_cond 1
% 155.03/21.31 fd_pseudo_cond 4
% 155.03/21.31 AC symbols 0
% 155.03/21.31
% 155.03/21.31 ------ Input Options Time Limit: Unbounded
% 155.03/21.31
% 155.03/21.31
% 155.03/21.31 ------
% 155.03/21.31 Current options:
% 155.03/21.31 ------
% 155.03/21.31
% 155.03/21.31
% 155.03/21.31
% 155.03/21.31
% 155.03/21.31 ------ Proving...
% 155.03/21.31
% 155.03/21.31
% 155.03/21.31 % SZS status Unsatisfiable for theBenchmark.p
% 155.03/21.31
% 155.03/21.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 155.03/21.31
% 155.03/21.32
%------------------------------------------------------------------------------