%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW429-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 03:29:40 PM UTC 2026
% Result : Unsatisfiable 3.61s 11.44s
% Output : CNFRefutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 81 ( 37 unt; 0 def)
% Number of atoms : 156 ( 86 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 115 ( 40 ~; 75 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 13 ( 2 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 194 ( 0 sgn 194 !; 0 ?; 180 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_5) ).
fof(f13,axiom,
x4 != x7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f15,axiom,
x3 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
fof(f17,axiom,
x5 != x9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
fof(f18,plain,
x9 != x5,
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
heap(sep(lseg(x5,x1),sep(lseg(x7,x12),sep(lseg(x7,x8),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x6,x9),sep(lseg(x6,x7),sep(lseg(x8,x11),emp)))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).
tcf(c_67,plain,
x4 != x7,
inference(cnf_transformation,[],[f13]) ).
tcf(c_69,plain,
x3 != x8,
inference(cnf_transformation,[],[f15]) ).
tcf(c_71,plain,
x9 != x5,
inference(cnf_transformation,[],[f18]) ).
tcf(c_72,plain,
heap(sep(lseg(x5,x1),sep(lseg(x7,x12),sep(lseg(x7,x8),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x4,x12),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x6,x9),sep(lseg(x6,x7),sep(lseg(x8,x11),emp)))))))))))),
inference(cnf_transformation,[],[f19]) ).
tcf(c_73,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_74,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_75,plain,
! [X0: $i,X1: $i] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_118,plain,
heap(sep(lseg(x7,x8),sep(lseg(x7,x12),sep(lseg(x4,x7),sep(lseg(x4,x12),sep(lseg(x3,x5),sep(lseg(x3,x12),sep(lseg(x8,x11),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))))))),
inference(demodulation,[status(thm)],[c_72,c_76]) ).
tcf(c_267,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_76,c_74]) ).
tcf(c_279,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_76,c_73]) ).
tcf(c_282,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(X2,X3),sep(lseg(X1,X2),X4)))) ),
inference(superposition,[status(thm)],[c_76,c_73]) ).
tcf(c_285,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_76,c_73]) ).
tcf(c_297,plain,
( ( x7 = x12 )
| ( x7 = x8 ) ),
inference(superposition,[status(thm)],[c_118,c_74]) ).
tcf(c_313,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_76,c_267]) ).
tcf(c_343,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_76,c_313]) ).
tcf(c_382,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_76,c_343]) ).
tcf(c_406,plain,
( ( x4 = x12 )
| ( x4 = x7 ) ),
inference(superposition,[status(thm)],[c_118,c_382]) ).
tcf(c_416,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_76,c_382]) ).
tcf(c_419,plain,
x4 = x12,
inference(forward_subsumption_resolution,[status(thm)],[c_406,c_67]) ).
tcf(c_423,plain,
( ( x7 = x8 )
| ( x4 = x7 ) ),
inference(demodulation,[status(thm)],[c_297,c_419]) ).
tcf(c_424,plain,
heap(sep(lseg(x7,x8),sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x4,x4),sep(lseg(x3,x5),sep(lseg(x3,x4),sep(lseg(x8,x11),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))))))),
inference(demodulation,[status(thm)],[c_118,c_419]) ).
tcf(c_425,plain,
x7 = x8,
inference(forward_subsumption_resolution,[status(thm)],[c_423,c_67]) ).
tcf(c_426,plain,
x7 != x3,
inference(demodulation,[status(thm)],[c_69,c_425]) ).
tcf(c_463,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_76,c_279]) ).
tcf(c_524,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_76,c_416]) ).
tcf(c_560,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_76,c_524]) ).
tcf(c_681,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_76,c_560]) ).
tcf(c_720,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_76,c_681]) ).
tcf(c_734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( heap(sep(lseg(X2,X0),sep(lseg(X0,X1),X3)))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),X3))) ),
inference(superposition,[status(thm)],[c_75,c_282]) ).
tcf(c_761,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_75,c_285]) ).
tcf(c_802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( heap(sep(lseg(X3,X0),sep(lseg(X0,X1),sep(X2,X4))))
| ( X0 = X1 )
| ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X3,X0),X4)))) ),
inference(superposition,[status(thm)],[c_76,c_734]) ).
tcf(c_832,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_76,c_463]) ).
tcf(c_1049,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_76,c_720]) ).
tcf(c_1096,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_75,c_761]) ).
tcf(c_1143,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_1096,c_75]) ).
tcf(c_1156,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_76,c_1143]) ).
tcf(c_1177,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_76,c_1156]) ).
tcf(c_1210,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_76,c_1177]) ).
tcf(c_1236,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_76,c_1210]) ).
tcf(c_1374,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_76,c_1049]) ).
tcf(c_1399,plain,
heap(sep(lseg(x7,x7),sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x4,x4),sep(lseg(x3,x5),sep(lseg(x3,x4),sep(lseg(x7,x11),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))))))),
inference(light_normalisation,[status(thm)],[c_424,c_425]) ).
tcf(c_1400,plain,
heap(sep(lseg(x7,x4),sep(lseg(x7,x11),sep(lseg(x4,x7),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))))),
inference(demodulation,[status(thm)],[c_1399,c_76,c_75]) ).
tcf(c_1401,plain,
( ( x7 = x11 )
| ( x4 = x7 ) ),
inference(superposition,[status(thm)],[c_1400,c_74]) ).
tcf(c_1410,plain,
( heap(sep(lseg(x4,x7),sep(lseg(x7,x4),sep(lseg(x7,x11),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp))))))))))
| ( x4 = x7 ) ),
inference(superposition,[status(thm)],[c_1400,c_802]) ).
tcf(c_1413,plain,
x7 = x11,
inference(forward_subsumption_resolution,[status(thm)],[c_1401,c_67]) ).
tcf(c_1414,plain,
heap(sep(lseg(x4,x7),sep(lseg(x7,x4),sep(lseg(x7,x11),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_1410,c_67]) ).
tcf(c_1557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( heap(sep(lseg(X1,X2),sep(X5,sep(X0,sep(X3,sep(X4,X6))))))
| ( X1 = X2 )
| ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(X4,sep(X5,X6)))))) ),
inference(superposition,[status(thm)],[c_76,c_1236]) ).
tcf(c_2583,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_76,c_1374]) ).
tcf(c_3498,plain,
heap(sep(lseg(x4,x7),sep(lseg(x7,x4),sep(lseg(x7,x7),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))))),
inference(light_normalisation,[status(thm)],[c_1414,c_1413]) ).
tcf(c_3499,plain,
heap(sep(lseg(x7,x4),sep(lseg(x4,x7),sep(lseg(x3,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp))))))))),
inference(demodulation,[status(thm)],[c_3498,c_76,c_75]) ).
tcf(c_3533,plain,
( heap(sep(lseg(x3,x7),sep(lseg(x7,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp))))))))
| ( x4 = x7 ) ),
inference(superposition,[status(thm)],[c_3499,c_832]) ).
tcf(c_3535,plain,
( ( x9 = x6 )
| ( x7 = x6 ) ),
inference(superposition,[status(thm)],[c_3499,c_2583]) ).
tcf(c_3538,plain,
heap(sep(lseg(x3,x7),sep(lseg(x7,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_3533,c_67]) ).
tcf(c_3950,plain,
heap(sep(lseg(x7,x4),sep(lseg(x3,x7),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))),
inference(demodulation,[status(thm)],[c_3538,c_76]) ).
tcf(c_3956,plain,
( ( x3 = x5 )
| ( x7 = x3 ) ),
inference(superposition,[status(thm)],[c_3950,c_313]) ).
tcf(c_3988,plain,
( heap(sep(lseg(x3,x7),sep(lseg(x1,x6),sep(lseg(x7,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),emp))))))))
| ( x7 = x3 ) ),
inference(superposition,[status(thm)],[c_3950,c_1557]) ).
tcf(c_3991,plain,
x3 = x5,
inference(forward_subsumption_resolution,[status(thm)],[c_3956,c_426]) ).
tcf(c_3992,plain,
heap(sep(lseg(x3,x7),sep(lseg(x1,x6),sep(lseg(x7,x4),sep(lseg(x3,x5),sep(lseg(x5,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_3988,c_426]) ).
tcf(c_4034,plain,
x3 != x9,
inference(demodulation,[status(thm)],[c_71,c_3991]) ).
tcf(c_4089,plain,
heap(sep(lseg(x3,x7),sep(lseg(x1,x6),sep(lseg(x7,x4),sep(lseg(x3,x3),sep(lseg(x3,x1),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))))),
inference(light_normalisation,[status(thm)],[c_3992,c_3991]) ).
tcf(c_4090,plain,
heap(sep(lseg(x7,x4),sep(lseg(x3,x7),sep(lseg(x3,x1),sep(lseg(x1,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp))))))),
inference(demodulation,[status(thm)],[c_4089,c_76,c_75]) ).
tcf(c_4094,plain,
( ( x3 = x1 )
| ( x7 = x3 ) ),
inference(superposition,[status(thm)],[c_4090,c_313]) ).
tcf(c_4126,plain,
( heap(sep(lseg(x3,x7),sep(lseg(x6,x7),sep(lseg(x7,x4),sep(lseg(x3,x1),sep(lseg(x1,x6),sep(lseg(x6,x9),emp)))))))
| ( x7 = x3 ) ),
inference(superposition,[status(thm)],[c_4090,c_1557]) ).
tcf(c_4129,plain,
x3 = x1,
inference(forward_subsumption_resolution,[status(thm)],[c_4094,c_426]) ).
tcf(c_4130,plain,
heap(sep(lseg(x3,x7),sep(lseg(x6,x7),sep(lseg(x7,x4),sep(lseg(x3,x1),sep(lseg(x1,x6),sep(lseg(x6,x9),emp))))))),
inference(forward_subsumption_resolution,[status(thm)],[c_4126,c_426]) ).
tcf(c_4268,plain,
heap(sep(lseg(x3,x7),sep(lseg(x6,x7),sep(lseg(x7,x4),sep(lseg(x3,x3),sep(lseg(x3,x6),sep(lseg(x6,x9),emp))))))),
inference(light_normalisation,[status(thm)],[c_4130,c_4129]) ).
tcf(c_4269,plain,
heap(sep(lseg(x7,x4),sep(lseg(x3,x7),sep(lseg(x3,x6),sep(lseg(x6,x7),sep(lseg(x6,x9),emp)))))),
inference(demodulation,[status(thm)],[c_4268,c_76,c_75]) ).
tcf(c_4273,plain,
( ( x3 = x6 )
| ( x7 = x3 ) ),
inference(superposition,[status(thm)],[c_4269,c_313]) ).
tcf(c_4309,plain,
x3 = x6,
inference(forward_subsumption_resolution,[status(thm)],[c_4273,c_426]) ).
tcf(c_4348,plain,
( ( x3 = x9 )
| ( x7 = x3 ) ),
inference(demodulation,[status(thm)],[c_3535,c_4309]) ).
tcf(c_4349,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4348,c_4034,c_426]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW429-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/10.61 % Computer : n008.cluster.edu
% 0.09/10.61 % Model : x86_64 x86_64
% 0.09/10.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.61 % Memory : 8046.5625MB
% 0.09/10.61 % OS : Linux 6.8.0-71-generic
% 0.09/10.61 % CPULimit : 300
% 0.09/10.61 % WCLimit : 300
% 0.09/10.61 % DateTime : Thu Sep 24 22:22:25 UTC 2026
% 0.09/10.61 % CPUTime :
% 0.09/10.61 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/10.65 Running first-order theorem proving
% 0.09/10.65 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.66
% 0.09/10.66 % ======== iProver multi-core TPTP/SMT =========
% 0.09/10.66
% 0.09/10.66 % Detected problem language: tptp
% 0.09/10.67 % Proving...
% 3.61/11.44 % SZS status Started for theBenchmark.p
% 3.61/11.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.61/11.44
% 3.61/11.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.61/11.44
% 3.61/11.44 % ------ iProver source info
% 3.61/11.44
% 3.61/11.44 % git: date: 2026-07-19 20:42:38 +0200
% 3.61/11.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.61/11.44 % git: non_committed_changes: false
% 3.61/11.44
% 3.61/11.44 % ------ Parsing...% successful
% 3.61/11.44
% 3.61/11.44
% 3.61/11.44 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.61/11.44
% 3.61/11.44 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.61/11.44
% 3.61/11.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.61/11.44
% 3.61/11.44 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.61/11.44 % ------ Proving...
% 3.61/11.44 % ------ Problem Properties
% 3.61/11.44
% 3.61/11.44 %
% 3.61/11.44 % clauses 10
% 3.61/11.44 % conjectures 0
% 3.61/11.44 % EPR 5
% 3.61/11.44 % Horn 8
% 3.61/11.44 % unary 8
% 3.61/11.44 % binary 0
% 3.61/11.44 % lits 14
% 3.61/11.44 % lits eq 10
% 3.61/11.44 % fd_pure 0
% 3.61/11.44 % fd_pseudo 0
% 3.61/11.44 % fd_cond 0
% 3.61/11.44 % fd_pseudo_cond 2
% 3.61/11.44 % AC symbols 0
% 3.61/11.44
% 3.61/11.44 % ------ Schedule dynamic 5 is on
% 3.61/11.44
% 3.61/11.44 % ------ no conjectures: strip conj schedule
% 3.61/11.44
% 3.61/11.44 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.61/11.44
% 3.61/11.44
% 3.61/11.44 % ------
% 3.61/11.44 % Current options:
% 3.61/11.44 % ------
% 3.61/11.44
% 3.61/11.44
% 3.61/11.44 %
% 3.61/11.44
% 3.61/11.44 % ------ Proving...
% 3.61/11.44 %
% 3.61/11.44
% 3.61/11.44 % SZS status Unsatisfiable for theBenchmark.p
% 3.61/11.44
% 3.61/11.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.61/11.45
% 3.61/11.45
%------------------------------------------------------------------------------