%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW438-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:29:41 PM UTC 2026
% Result : Unsatisfiable 11.75s 3.28s
% Output : CNFRefutation 11.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 13
% Syntax : Number of formulae : 107 ( 38 unt; 0 def)
% Number of atoms : 221 ( 134 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 178 ( 64 ~; 114 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 244 ( 0 sgn 244 !; 0 ?; 230 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',wellformedness_5) ).
fof(f12,axiom,
! [X2,X3,X0,X1,X4] :
( heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| X2 = X3
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
fof(f14,axiom,
x6 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f15,axiom,
x3 != x10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f16,axiom,
x3 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
fof(f22,axiom,
x2 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f24,axiom,
x14 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_10) ).
fof(f35,axiom,
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) ).
tcf(c_78,plain,
x6 != x7,
inference(cnf_transformation,[],[f14]) ).
tcf(c_79,plain,
x3 != x10,
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,plain,
x3 != x14,
inference(cnf_transformation,[],[f16]) ).
tcf(c_84,plain,
x2 != x16,
inference(cnf_transformation,[],[f22]) ).
tcf(c_86,plain,
x14 != x16,
inference(cnf_transformation,[],[f24]) ).
tcf(c_92,plain,
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))))))))))))),
inference(cnf_transformation,[],[f35]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| ( X2 = X3 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X2,X3),X4)))) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_158,plain,
heap(sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))))),
inference(demodulation,[status(thm)],[c_92,c_96]) ).
tcf(c_165,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sep(X0,X2) = sep(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_170,plain,
! [X0: $i,X1: $i] :
( heap(X0)
| ~ heap(X1)
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X3 )
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4)))) ),
inference(superposition,[status(thm)],[c_96,c_94]) ).
tcf(c_359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c_96,c_347]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5))))) ),
inference(superposition,[status(thm)],[c_96,c_359]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X4 )
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5))))) ),
inference(superposition,[status(thm)],[c_96,c_389]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X2,X1),sep(lseg(X1,X3),X4)))
| ( X1 = X3 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c_96,c_93]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X0,X2),sep(lseg(X2,X4),sep(X3,X5))))
| ( X2 = X4 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(X3,sep(lseg(X2,X4),X5))))) ),
inference(superposition,[status(thm)],[c_96,c_93]) ).
tcf(c_470,plain,
( ( x6 = x16 )
| ( x6 = x14 ) ),
inference(superposition,[status(thm)],[c_158,c_359]) ).
tcf(c_477,plain,
( heap(sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x6),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x6),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( x6 = x14 ) ),
inference(superposition,[status(thm)],[c_470,c_158]) ).
tcf(c_479,plain,
( ( x6 = x14 )
| ( x6 != x2 ) ),
inference(superposition,[status(thm)],[c_470,c_84]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X2 = X5 )
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),X6)))))) ),
inference(superposition,[status(thm)],[c_96,c_428]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X3 = X5 )
| ( X3 = X4 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),X6)))))) ),
inference(superposition,[status(thm)],[c_96,c_503]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X3 = X6 )
| ( X3 = X4 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(X5,sep(lseg(X3,X6),X7))))))) ),
inference(superposition,[status(thm)],[c_96,c_575]) ).
tcf(c_677,plain,
! [X0: $i] :
( heap(X0)
| ~ heap(sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( X0 != sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))) ) ),
inference(instantiation,[status(thm)],[c_170]) ).
tcf(c_746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X3,X1),sep(lseg(X1,X2),X4)))
| ( X1 = X2 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(lseg(X3,X0),X4)))) ),
inference(superposition,[status(thm)],[c_96,c_452]) ).
tcf(c_773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X4 = X6 )
| ( X4 = X5 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(lseg(X4,X6),X7))))))) ),
inference(superposition,[status(thm)],[c_96,c_611]) ).
tcf(c_797,plain,
( ( x7 = x16 )
| ( x7 = x2 ) ),
inference(superposition,[status(thm)],[c_158,c_773]) ).
tcf(c_813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( X4 = X7 )
| ( X4 = X5 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(X6,sep(lseg(X4,X7),X8)))))))) ),
inference(superposition,[status(thm)],[c_96,c_773]) ).
tcf(c_999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X3,X0),sep(lseg(X0,X1),X4)))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(lseg(X3,X2),X4)))) ),
inference(superposition,[status(thm)],[c_96,c_746]) ).
tcf(c_1025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X0,X1),sep(lseg(X1,X3),sep(X2,X4))))
| ( X1 = X3 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X1,X3),X4)))) ),
inference(superposition,[status(thm)],[c_95,c_458]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( X5 = X7 )
| ( X5 = X6 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,sep(lseg(X5,X6),sep(lseg(X5,X7),X8)))))))) ),
inference(superposition,[status(thm)],[c_96,c_813]) ).
tcf(c_1205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X4,X0),sep(lseg(X0,X1),sep(X3,X5))))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(X3,sep(lseg(X4,X2),X5))))) ),
inference(superposition,[status(thm)],[c_96,c_999]) ).
tcf(c_1219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X1,X1),sep(lseg(X1,X2),sep(X0,X3))))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_95,c_1025]) ).
tcf(c_1238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X1,X2),sep(X0,X3)))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),X3))) ),
inference(demodulation,[status(thm)],[c_1219,c_95]) ).
tcf(c_1252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X2,X3),sep(X0,sep(X1,X4))))
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),X4)))) ),
inference(superposition,[status(thm)],[c_96,c_1238]) ).
tcf(c_1285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X2,X3),sep(X1,sep(X0,X4))))
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),X4)))) ),
inference(superposition,[status(thm)],[c_96,c_1252]) ).
tcf(c_1291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X3,X4),sep(X0,sep(X1,sep(X2,X5)))))
| ( X3 = X4 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),X5))))) ),
inference(superposition,[status(thm)],[c_96,c_1252]) ).
tcf(c_1363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X1,X2),sep(X3,sep(X0,X4))))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,X4)))) ),
inference(superposition,[status(thm)],[c_96,c_1285]) ).
tcf(c_1378,plain,
( heap(sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x6),sep(lseg(x7,x2),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))))
| ( x6 = x14 ) ),
inference(demodulation,[status(thm)],[c_477,c_96,c_95]) ).
tcf(c_1440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X0,X1),sep(X3,sep(X2,X4))))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,X4)))) ),
inference(superposition,[status(thm)],[c_96,c_1363]) ).
tcf(c_1446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X1,X2),sep(X4,sep(X0,sep(X3,X5)))))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(X4,X5))))) ),
inference(superposition,[status(thm)],[c_96,c_1363]) ).
tcf(c_1468,plain,
( heap(sep(lseg(x14,x12),sep(lseg(x6,x16),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( x14 = x12 ) ),
inference(superposition,[status(thm)],[c_158,c_1440]) ).
tcf(c_1476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X0,X1),sep(X4,sep(X2,sep(X3,X5)))))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(X3,sep(X4,X5))))) ),
inference(superposition,[status(thm)],[c_96,c_1440]) ).
tcf(c_1534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( X5 = X8 )
| ( X5 = X6 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,sep(lseg(X5,X6),sep(X7,sep(lseg(X5,X8),X9))))))))) ),
inference(superposition,[status(thm)],[c_96,c_1126]) ).
tcf(c_1585,plain,
( heap(sep(lseg(x7,x6),sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))))
| ( x6 = x14 )
| ( x6 = x7 ) ),
inference(superposition,[status(thm)],[c_1378,c_1291]) ).
tcf(c_1616,plain,
( heap(sep(lseg(x7,x6),sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))))
| ( x6 = x14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1585,c_78]) ).
tcf(c_1720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( heap(sep(lseg(X2,X3),sep(X4,sep(X0,sep(X1,X5)))))
| ( X2 = X3 )
| ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,X5))))) ),
inference(superposition,[status(thm)],[c_96,c_1446]) ).
tcf(c_1829,plain,
! [X0: $i,X1: $i] :
( heap(sep(X0,X1))
| ~ heap(sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( sep(X0,X1) != sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))) ) ),
inference(instantiation,[status(thm)],[c_677]) ).
tcf(c_1830,plain,
! [X0: $i,X1: $i] :
( ( sep(X0,X1) = sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))) )
| ( X1 != sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))) )
| ( X0 != lseg(x14,x12) ) ),
inference(instantiation,[status(thm)],[c_169]) ).
tcf(c_1839,plain,
( heap(sep(lseg(x14,x12),sep(lseg(x2,x13),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( x14 = x12 ) ),
inference(superposition,[status(thm)],[c_158,c_1476]) ).
tcf(c_1974,plain,
( heap(sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( x6 = x16 ) ),
inference(superposition,[status(thm)],[c_158,c_1720]) ).
tcf(c_3241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ( X6 = X8 )
| ( X6 = X7 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,sep(X5,sep(lseg(X6,X7),sep(lseg(X6,X8),X9))))))))) ),
inference(superposition,[status(thm)],[c_96,c_1534]) ).
tcf(c_3346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ( X6 = X9 )
| ( X6 = X7 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,sep(X5,sep(lseg(X6,X7),sep(X8,sep(lseg(X6,X9),X10)))))))))) ),
inference(superposition,[status(thm)],[c_96,c_3241]) ).
tcf(c_3654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( heap(sep(lseg(X5,X0),sep(lseg(X0,X1),sep(X3,sep(X4,X6)))))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(X3,sep(X4,sep(lseg(X5,X2),X6)))))) ),
inference(superposition,[status(thm)],[c_96,c_1205]) ).
tcf(c_3757,plain,
! [X0: $i] :
( ( sep(lseg(x14,x12),X0) = sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))) )
| ( X0 != sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))) )
| ( lseg(x14,x12) != lseg(x14,x12) ) ),
inference(instantiation,[status(thm)],[c_1830]) ).
tcf(c_3758,plain,
lseg(x14,x12) = lseg(x14,x12),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_5489,plain,
( ( sep(lseg(x14,x12),sep(lseg(x6,x16),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))) = sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))) )
| ( lseg(x14,x12) != lseg(x14,x12) )
| ( sep(lseg(x6,x16),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))) != sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))) ) ),
inference(instantiation,[status(thm)],[c_3757]) ).
tcf(c_5490,plain,
sep(lseg(x6,x16),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))) = sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_5725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( ( X7 = X9 )
| ( X7 = X8 )
| ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(X4,sep(X5,sep(X6,sep(lseg(X7,X8),sep(lseg(X7,X9),X10)))))))))) ),
inference(superposition,[status(thm)],[c_96,c_3346]) ).
tcf(c_7503,plain,
( ( x10 = x2 )
| ( x3 = x10 ) ),
inference(superposition,[status(thm)],[c_158,c_5725]) ).
tcf(c_7532,plain,
x10 = x2,
inference(forward_subsumption_resolution,[status(thm)],[c_7503,c_79]) ).
tcf(c_7545,plain,
x3 != x2,
inference(demodulation,[status(thm)],[c_79,c_7532]) ).
tcf(c_8750,plain,
( heap(sep(lseg(x14,x12),sep(lseg(x6,x16),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))))
| ~ heap(sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( sep(lseg(x14,x12),sep(lseg(x6,x16),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))) != sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))) ) ),
inference(instantiation,[status(thm)],[c_1829]) ).
tcf(c_9327,plain,
heap(sep(lseg(x14,x12),sep(lseg(x6,x16),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x10,x2),sep(lseg(x10,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))))),
inference(global_subsumption_just,[status(thm)],[c_1468,c_158,c_3758,c_5489,c_5490,c_8750]) ).
tcf(c_9329,plain,
heap(sep(lseg(x14,x12),sep(lseg(x6,x16),sep(lseg(x6,x14),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x2,x2),sep(lseg(x2,x3),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp))))))))))))),
inference(light_normalisation,[status(thm)],[c_9327,c_7532]) ).
tcf(c_9330,plain,
heap(sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x6,x16),sep(lseg(x2,x3),sep(lseg(x2,x13),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x13,x6),sep(lseg(x13,x8),sep(lseg(x11,x4),emp)))))))))))),
inference(demodulation,[status(thm)],[c_9329,c_96,c_95]) ).
tcf(c_9361,plain,
( ( x2 = x13 )
| ( x3 = x2 ) ),
inference(superposition,[status(thm)],[c_9330,c_575]) ).
tcf(c_9415,plain,
x2 = x13,
inference(forward_subsumption_resolution,[status(thm)],[c_9361,c_7545]) ).
tcf(c_11018,plain,
( heap(sep(lseg(x7,x6),sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x2,x2),sep(lseg(x7,x2),sep(lseg(x3,x14),sep(lseg(x2,x2),sep(lseg(x2,x3),sep(lseg(x2,x6),sep(lseg(x2,x8),sep(lseg(x11,x4),emp))))))))))))
| ( x6 = x14 ) ),
inference(light_normalisation,[status(thm)],[c_1616,c_7532,c_9415]) ).
tcf(c_11019,plain,
( heap(sep(lseg(x14,x12),sep(lseg(x6,x14),sep(lseg(x2,x6),sep(lseg(x2,x3),sep(lseg(x2,x8),sep(lseg(x7,x6),sep(lseg(x7,x2),sep(lseg(x3,x14),sep(lseg(x11,x4),emp))))))))))
| ( x6 = x14 ) ),
inference(demodulation,[status(thm)],[c_11018,c_96,c_95]) ).
tcf(c_11036,plain,
( ( x3 = x2 )
| ( x6 = x2 )
| ( x6 = x14 ) ),
inference(superposition,[status(thm)],[c_11019,c_428]) ).
tcf(c_11134,plain,
( ( x6 = x2 )
| ( x6 = x14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11036,c_7545]) ).
tcf(c_11295,plain,
x6 = x14,
inference(global_subsumption_just,[status(thm)],[c_11134,c_479,c_11134]) ).
tcf(c_11299,plain,
x7 != x14,
inference(demodulation,[status(thm)],[c_78,c_11295]) ).
tcf(c_12840,plain,
( heap(sep(lseg(x14,x12),sep(lseg(x2,x2),sep(lseg(x14,x14),sep(lseg(x14,x16),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x2,x2),sep(lseg(x2,x3),sep(lseg(x2,x14),sep(lseg(x2,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( x14 = x12 ) ),
inference(light_normalisation,[status(thm)],[c_1839,c_7532,c_9415,c_11295]) ).
tcf(c_12841,plain,
( heap(sep(lseg(x14,x16),sep(lseg(x14,x12),sep(lseg(x2,x14),sep(lseg(x2,x3),sep(lseg(x2,x8),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),emp))))))))))
| ( x14 = x12 ) ),
inference(demodulation,[status(thm)],[c_12840,c_96,c_95]) ).
tcf(c_12850,plain,
( ( x14 = x12 )
| ( x14 = x16 ) ),
inference(superposition,[status(thm)],[c_12841,c_94]) ).
tcf(c_12981,plain,
x14 = x12,
inference(forward_subsumption_resolution,[status(thm)],[c_12850,c_86]) ).
tcf(c_17477,plain,
( heap(sep(lseg(x14,x16),sep(lseg(x2,x2),sep(lseg(x14,x14),sep(lseg(x14,x14),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x2,x2),sep(lseg(x2,x3),sep(lseg(x2,x14),sep(lseg(x2,x8),sep(lseg(x11,x4),emp)))))))))))))
| ( x14 = x16 ) ),
inference(light_normalisation,[status(thm)],[c_1974,c_7532,c_9415,c_11295,c_12981]) ).
tcf(c_17478,plain,
( heap(sep(lseg(x14,x16),sep(lseg(x2,x14),sep(lseg(x2,x3),sep(lseg(x2,x8),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),emp)))))))))
| ( x14 = x16 ) ),
inference(demodulation,[status(thm)],[c_17477,c_96,c_95]) ).
tcf(c_17479,plain,
heap(sep(lseg(x14,x16),sep(lseg(x2,x14),sep(lseg(x2,x3),sep(lseg(x2,x8),sep(lseg(x7,x2),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),emp))))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_17478,c_86]) ).
tcf(c_17482,plain,
( ( x14 = x2 )
| ( x3 = x2 ) ),
inference(superposition,[status(thm)],[c_17479,c_359]) ).
tcf(c_17488,plain,
( ( x2 = x8 )
| ( x3 = x2 ) ),
inference(superposition,[status(thm)],[c_17479,c_428]) ).
tcf(c_17668,plain,
( heap(sep(lseg(x7,x14),sep(lseg(x14,x16),sep(lseg(x2,x3),sep(lseg(x2,x8),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),emp))))))))
| ( x14 = x16 ) ),
inference(superposition,[status(thm)],[c_17479,c_3654]) ).
tcf(c_17675,plain,
x2 = x8,
inference(forward_subsumption_resolution,[status(thm)],[c_17488,c_7545]) ).
tcf(c_17676,plain,
x14 = x2,
inference(forward_subsumption_resolution,[status(thm)],[c_17482,c_7545]) ).
tcf(c_17677,plain,
heap(sep(lseg(x7,x14),sep(lseg(x14,x16),sep(lseg(x2,x3),sep(lseg(x2,x8),sep(lseg(x7,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),emp)))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_17668,c_86]) ).
tcf(c_17842,plain,
( ( x7 = x16 )
| ( x7 = x14 ) ),
inference(demodulation,[status(thm)],[c_797,c_17676]) ).
tcf(c_17845,plain,
x7 = x16,
inference(forward_subsumption_resolution,[status(thm)],[c_17842,c_11299]) ).
tcf(c_21528,plain,
x14 = x8,
inference(light_normalisation,[status(thm)],[c_17675,c_17676]) ).
tcf(c_21529,plain,
heap(sep(lseg(x16,x14),sep(lseg(x14,x16),sep(lseg(x14,x3),sep(lseg(x14,x14),sep(lseg(x16,x16),sep(lseg(x3,x14),sep(lseg(x11,x4),emp)))))))),
inference(light_normalisation,[status(thm)],[c_17677,c_17676,c_17845,c_21528]) ).
tcf(c_21530,plain,
heap(sep(lseg(x14,x16),sep(lseg(x14,x3),sep(lseg(x16,x14),sep(lseg(x3,x14),sep(lseg(x11,x4),emp)))))),
inference(demodulation,[status(thm)],[c_21529,c_96,c_95]) ).
tcf(c_21531,plain,
( ( x14 = x16 )
| ( x3 = x14 ) ),
inference(superposition,[status(thm)],[c_21530,c_94]) ).
tcf(c_21670,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_21531,c_86,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW438-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 22:26:26 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 11.75/3.28 % SZS status Started for theBenchmark.p
% 11.75/3.28 % SZS status Unsatisfiable for theBenchmark.p
% 11.75/3.28
% 11.75/3.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.75/3.28
% 11.75/3.28 % ------ iProver source info
% 11.75/3.28
% 11.75/3.28 % git: date: 2026-07-19 20:42:38 +0200
% 11.75/3.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.75/3.28 % git: non_committed_changes: false
% 11.75/3.28
% 11.75/3.28 % ------ Parsing...% successful
% 11.75/3.28
% 11.75/3.28
% 11.75/3.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.75/3.28
% 11.75/3.28 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 11.75/3.28
% 11.75/3.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.75/3.28
% 11.75/3.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.75/3.28 % ------ Proving...
% 11.75/3.28 % ------ Problem Properties
% 11.75/3.28
% 11.75/3.28 %
% 11.75/3.28 % clauses 20
% 11.75/3.28 % conjectures 0
% 11.75/3.28 % EPR 15
% 11.75/3.28 % Horn 18
% 11.75/3.28 % unary 18
% 11.75/3.28 % binary 0
% 11.75/3.28 % lits 24
% 11.75/3.28 % lits eq 20
% 11.75/3.28 % fd_pure 0
% 11.75/3.28 % fd_pseudo 0
% 11.75/3.28 % fd_cond 0
% 11.75/3.28 % fd_pseudo_cond 2
% 11.75/3.28 % AC symbols 0
% 11.75/3.28
% 11.75/3.28 % ------ Schedule dynamic 5 is on
% 11.75/3.28
% 11.75/3.28 % ------ no conjectures: strip conj schedule
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% 11.75/3.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 11.75/3.28
% 11.75/3.28
% 11.75/3.28 % ------
% 11.75/3.28 % Current options:
% 11.75/3.28 % ------
% 11.75/3.28
% 11.75/3.28
% 11.75/3.28 %
% 11.75/3.28
% 11.75/3.28 % ------ Proving...
% 11.75/3.28 %
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% 11.75/3.28 % SZS status Unsatisfiable for theBenchmark.p
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% 11.75/3.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 11.75/3.28
%------------------------------------------------------------------------------