%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB042+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 01:00:18 PM UTC 2026
% Result : Theorem 3.28s 1.49s
% Output : Refutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 72 ( 33 unt; 1 def)
% Number of atoms : 332 ( 22 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 410 ( 150 ~; 149 |; 95 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 19 con; 0-3 aty)
% Number of variables : 170 ( 0 sgn 148 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( iext(X1,X0,X2)
=> ip(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
fof(f52,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_domain,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f59,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_range,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_main) ).
fof(f295,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f389,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( ( iext(X2,X5,X6)
& iext(X4,X6,X7) )
=> iext(X0,X5,X7) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f559,conjecture,
? [X0,X1] :
( iext(uri_owl_propertyChainAxiom,uri_ex_p,X0)
& iext(uri_rdf_first,X1,uri_ex_p2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_p1)
& iext(uri_rdf_rest,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_chain_ext) ).
fof(f560,negated_conjecture,
~ ? [X0,X1] :
( iext(uri_owl_propertyChainAxiom,uri_ex_p,X0)
& iext(uri_rdf_first,X1,uri_ex_p2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_p1)
& iext(uri_rdf_rest,X0,X1) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2,X3,X4,X5] :
( iext(uri_rdfs_domain,uri_ex_p1,X4)
& iext(uri_ex_p2,uri_ex_z,uri_ex_y)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_ex_p1,uri_ex_x,uri_ex_z)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p2,X5)
& iext(uri_rdf_first,X2,uri_ex_p2)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_oneOf,X4,X1)
& iext(uri_owl_oneOf,X5,X0)
& iext(uri_rdf_first,X3,uri_ex_p1)
& iext(uri_rdf_rest,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_chain_ext) ).
fof(f572,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f577,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f52]) ).
fof(f578,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f577]) ).
fof(f579,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f59]) ).
fof(f580,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f579]) ).
fof(f696,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(ennf_transformation,[],[f295]) ).
fof(f697,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f696]) ).
fof(f842,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f389]) ).
fof(f843,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f842]) ).
fof(f980,plain,
! [X0,X1] :
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_p,X0)
| ~ iext(uri_rdf_first,X1,uri_ex_p2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_p1)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(ennf_transformation,[],[f560]) ).
fof(f1139,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(nnf_transformation,[],[f697]) ).
fof(f1140,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f1139]) ).
fof(f1141,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(rectify,[],[f1140]) ).
fof(f1142,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK62(X0,X2) != X2
| ~ icext(X0,sK62(X0,X2)) )
& ( sK62(X0,X2) = X2
| icext(X0,sK62(X0,X2)) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(X3,sK62(X0,X2))],[f1141]) ).
fof(f1397,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(nnf_transformation,[],[f843]) ).
fof(f1398,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f1397]) ).
fof(f1399,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(rectify,[],[f1398]) ).
fof(f1400,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ( ~ iext(X0,sK211(X0,X2,X4),sK213(X0,X2,X4))
& iext(X2,sK211(X0,X2,X4),sK212(X0,X2,X4))
& iext(X4,sK212(X0,X2,X4),sK213(X0,X2,X4)) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK211,sK212,sK213]),skolemize(X5,sK211(X0,X2,X4)),skolemize(X6,sK212(X0,X2,X4)),skolemize(X7,sK213(X0,X2,X4))],[f1399]) ).
fof(f1460,plain,
( iext(uri_rdfs_domain,uri_ex_p1,sK255)
& iext(uri_ex_p2,uri_ex_z,uri_ex_y)
& iext(uri_rdf_first,sK252,uri_ex_x)
& iext(uri_rdf_rest,sK252,uri_rdf_nil)
& iext(uri_rdf_first,sK251,uri_ex_y)
& iext(uri_rdf_rest,sK251,uri_rdf_nil)
& iext(uri_ex_p1,uri_ex_x,uri_ex_z)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_rdfs_range,uri_ex_p2,sK256)
& iext(uri_rdf_first,sK253,uri_ex_p2)
& iext(uri_rdf_rest,sK253,uri_rdf_nil)
& iext(uri_owl_oneOf,sK255,sK252)
& iext(uri_owl_oneOf,sK256,sK251)
& iext(uri_rdf_first,sK254,uri_ex_p1)
& iext(uri_rdf_rest,sK254,sK253) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK251,sK252,sK253,sK254,sK255,sK256]),skolemize(X0,sK251),skolemize(X1,sK252),skolemize(X2,sK253),skolemize(X3,sK254),skolemize(X4,sK255),skolemize(X5,sK256)],[f561]) ).
fof(f1461,plain,
! [X2,X0,X1] :
( ~ iext(X1,X0,X2)
| ip(X1) ),
inference(cnf_transformation,[],[f572]) ).
fof(f1514,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f578]) ).
fof(f1524,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_range,X0,X1)
| icext(X1,X3)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f580]) ).
fof(f1917,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X4)
| X2 = X4
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(cnf_transformation,[],[f1142]) ).
fof(f2487,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| iext(X4,sK212(X0,X2,X4),sK213(X0,X2,X4))
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| iext(uri_owl_propertyChainAxiom,X0,X1) ),
inference(cnf_transformation,[],[f1400]) ).
fof(f2488,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| iext(X2,sK211(X0,X2,X4),sK212(X0,X2,X4))
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| iext(uri_owl_propertyChainAxiom,X0,X1) ),
inference(cnf_transformation,[],[f1400]) ).
fof(f2489,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,sK211(X0,X2,X4),sK213(X0,X2,X4))
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f1400]) ).
fof(f2750,plain,
! [X0,X1] :
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_p,X0)
| ~ iext(uri_rdf_first,X1,uri_ex_p2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_p1)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(cnf_transformation,[],[f980]) ).
fof(f2751,plain,
iext(uri_rdf_rest,sK254,sK253),
inference(cnf_transformation,[],[f1460]) ).
fof(f2752,plain,
iext(uri_rdf_first,sK254,uri_ex_p1),
inference(cnf_transformation,[],[f1460]) ).
fof(f2753,plain,
iext(uri_owl_oneOf,sK256,sK251),
inference(cnf_transformation,[],[f1460]) ).
fof(f2754,plain,
iext(uri_owl_oneOf,sK255,sK252),
inference(cnf_transformation,[],[f1460]) ).
fof(f2755,plain,
iext(uri_rdf_rest,sK253,uri_rdf_nil),
inference(cnf_transformation,[],[f1460]) ).
fof(f2756,plain,
iext(uri_rdf_first,sK253,uri_ex_p2),
inference(cnf_transformation,[],[f1460]) ).
fof(f2757,plain,
iext(uri_rdfs_range,uri_ex_p2,sK256),
inference(cnf_transformation,[],[f1460]) ).
fof(f2758,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_y),
inference(cnf_transformation,[],[f1460]) ).
fof(f2759,plain,
iext(uri_ex_p1,uri_ex_x,uri_ex_z),
inference(cnf_transformation,[],[f1460]) ).
fof(f2760,plain,
iext(uri_rdf_rest,sK251,uri_rdf_nil),
inference(cnf_transformation,[],[f1460]) ).
fof(f2761,plain,
iext(uri_rdf_first,sK251,uri_ex_y),
inference(cnf_transformation,[],[f1460]) ).
fof(f2762,plain,
iext(uri_rdf_rest,sK252,uri_rdf_nil),
inference(cnf_transformation,[],[f1460]) ).
fof(f2763,plain,
iext(uri_rdf_first,sK252,uri_ex_x),
inference(cnf_transformation,[],[f1460]) ).
fof(f2764,plain,
iext(uri_ex_p2,uri_ex_z,uri_ex_y),
inference(cnf_transformation,[],[f1460]) ).
fof(f2765,plain,
iext(uri_rdfs_domain,uri_ex_p1,sK255),
inference(cnf_transformation,[],[f1460]) ).
fof(f2772,plain,
~ iext(uri_owl_propertyChainAxiom,uri_ex_p,sK254),
inference(unit_resulting_resolution,[],[f2750,f2751,f2752,f2755,f2756]) ).
fof(f2783,plain,
ip(uri_ex_p2),
inference(unit_resulting_resolution,[],[f1461,f2764]) ).
fof(f2784,plain,
ip(uri_ex_p),
inference(unit_resulting_resolution,[],[f1461,f2758]) ).
fof(f2785,plain,
ip(uri_ex_p1),
inference(unit_resulting_resolution,[],[f1461,f2759]) ).
fof(f2849,plain,
iext(uri_ex_p2,sK212(uri_ex_p,uri_ex_p1,uri_ex_p2),sK213(uri_ex_p,uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f2487,f2784,f2783,f2772,f2756,f2751,f2752,f2755,f2785]) ).
fof(f2850,plain,
iext(uri_ex_p1,sK211(uri_ex_p,uri_ex_p1,uri_ex_p2),sK212(uri_ex_p,uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f2488,f2784,f2783,f2772,f2756,f2751,f2752,f2755,f2785]) ).
fof(f2851,plain,
~ iext(uri_ex_p,sK211(uri_ex_p,uri_ex_p1,uri_ex_p2),sK213(uri_ex_p,uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f2489,f2784,f2783,f2756,f2755,f2751,f2772,f2752,f2785]) ).
fof(f2852,plain,
icext(sK256,sK213(uri_ex_p,uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f1524,f2757,f2849]) ).
fof(f2854,plain,
uri_ex_y = sK213(uri_ex_p,uri_ex_p1,uri_ex_p2),
inference(unit_resulting_resolution,[],[f1917,f2761,f2760,f2753,f2852]) ).
fof(f2856,plain,
icext(sK255,sK211(uri_ex_p,uri_ex_p1,uri_ex_p2)),
inference(unit_resulting_resolution,[],[f1514,f2765,f2850]) ).
fof(f2860,plain,
uri_ex_x = sK211(uri_ex_p,uri_ex_p1,uri_ex_p2),
inference(unit_resulting_resolution,[],[f1917,f2763,f2762,f2754,f2856]) ).
fof(f2864,plain,
~ iext(uri_ex_p,sK211(uri_ex_p,uri_ex_p1,uri_ex_p2),uri_ex_y),
inference(superposition,[],[f2851,f2854]) ).
fof(f2876,definition,
( spl257_2
<=> iext(uri_ex_p,sK211(uri_ex_p,uri_ex_p1,uri_ex_p2),uri_ex_y) ),
introduced(definition,[new_symbols(definition,[spl257_2])],[avatar_definition]) ).
fof(f2878,plain,
( ~ iext(uri_ex_p,sK211(uri_ex_p,uri_ex_p1,uri_ex_p2),uri_ex_y)
| spl257_2 ),
inference(avatar_component_clause,[],[f2876]) ).
fof(f2908,plain,
~ spl257_2,
inference(avatar_split_clause,[],[f2864,f2876]) ).
fof(f2918,plain,
( ~ iext(uri_ex_p,uri_ex_x,uri_ex_y)
| spl257_2 ),
inference(superposition,[],[f2878,f2860]) ).
fof(f2919,plain,
( $false
| spl257_2 ),
inference(forward_subsumption_resolution,[],[f2918,f2758]) ).
fof(f2920,plain,
spl257_2,
inference(avatar_contradiction_clause,[],[f2919]) ).
cnf(s3,plain,
~ spl257_2,
inference(sat_conversion,[],[f2908]) ).
cnf(s4,plain,
spl257_2,
inference(sat_conversion,[],[f2920]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s3,s4]) ).
fof(f2921,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB042+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n002.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 07:13:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.28/1.49 % (179052)Detected formulas, will run a generic FOF schedule.
% 3.28/1.49 % (179061)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=159017035:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.28/1.49 % (179058)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3477216108:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.28/1.49 % (179059)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2387136135:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.28/1.49 % (179057)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1819575530:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.28/1.49 % (179060)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4123890323:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.28/1.49 % (179061)Instruction limit reached!
% 3.28/1.49 % (179061)------------------------------
% 3.28/1.49 % (179061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.49 % (179061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.49 % (179061)CaDiCaL version: 2.1.3
% 3.28/1.49 % (179061)Termination reason: Instruction limit
% 3.28/1.49 % (179061)Termination phase: Saturation
% 3.28/1.49 % (179061)Time elapsed: 0.031 s
% 3.28/1.49 % (179061)Peak memory usage: 88 MB
% 3.28/1.49 % (179061)Instructions burned: 123 (million)
% 3.28/1.49 % (179060)Refutation not found, incomplete strategy
% 3.28/1.49 % (179060)------------------------------
% 3.28/1.49 % (179060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.49 % (179060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.49 % (179060)CaDiCaL version: 2.1.3
% 3.28/1.49 % (179060)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.49 % (179060)Time elapsed: 0.005 s
% 3.28/1.49 % (179060)Peak memory usage: 88 MB
% 3.28/1.49 % (179060)Instructions burned: 7 (million)
% 3.28/1.49 % (179063)dis-21_1_sil=8000:lcm=predicate:random_seed=4268751264:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.28/1.49 % (179062)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2644131326:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.28/1.49 % (179063)Instruction limit reached!
% 3.28/1.49 % (179063)------------------------------
% 3.28/1.49 % (179063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.49 % (179063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.49 % (179063)CaDiCaL version: 2.1.3
% 3.28/1.49 % (179063)Termination reason: Instruction limit
% 3.28/1.49 % (179063)Termination phase: Saturation
% 3.28/1.49 % (179063)Time elapsed: 0.069 s
% 3.28/1.49 % (179063)Peak memory usage: 91 MB
% 3.28/1.49 % (179063)Instructions burned: 131 (million)
% 3.28/1.49 % (179062)Instruction limit reached!
% 3.28/1.49 % (179062)------------------------------
% 3.28/1.49 % (179062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.49 % (179069)lrs+10_1_sil=8000:sp=occurrence:random_seed=1753902590:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.28/1.49 % (179062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.49 % (179062)CaDiCaL version: 2.1.3
% 3.28/1.49 % (179062)Termination reason: Instruction limit
% 3.28/1.49 % (179062)Termination phase: Saturation
% 3.28/1.49 % (179062)Time elapsed: 0.082 s
% 3.28/1.49 % (179062)Peak memory usage: 91 MB
% 3.28/1.49 % (179062)Instructions burned: 139 (million)
% 3.28/1.49 % (179069)Instruction limit reached!
% 3.28/1.49 % (179069)------------------------------
% 3.28/1.49 % (179069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.49 % (179069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.49 % (179069)CaDiCaL version: 2.1.3
% 3.28/1.49 % (179069)Termination reason: Instruction limit
% 3.28/1.49 % (179069)Termination phase: Saturation
% 3.28/1.49 % (179069)Time elapsed: 0.097 s
% 3.28/1.49 % (179069)Peak memory usage: 92 MB
% 3.28/1.49 % (179069)Instructions burned: 286 (million)
% 3.28/1.49 % (179072)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3636841319:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.28/1.49 % (179072)Refutation not found, incomplete strategy
% 3.28/1.49 % (179072)------------------------------
% 3.28/1.49 % (179072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.49 % (179072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.49 % (179072)CaDiCaL version: 2.1.3
% 3.28/1.49 % (179072)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.49 % (179072)Time elapsed: 0.008 s
% 3.28/1.49 % (179072)Peak memory usage: 89 MB
% 3.28/1.49 % (179072)Instructions burned: 13 (million)
% 3.28/1.49 % (179074)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2784197921:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.28/1.49 % (179074)Refutation not found, incomplete strategy
% 3.28/1.49 % (179074)------------------------------
% 3.28/1.49 % (179074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.49 % (179074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.49 % (179074)CaDiCaL version: 2.1.3
% 3.28/1.49 % (179074)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.49 % (179074)Time elapsed: 0.011 s
% 3.28/1.49 % (179074)Peak memory usage: 89 MB
% 3.28/1.49 % (179074)Instructions burned: 15 (million)
% 3.28/1.49 % (179060)------------------------------
% 3.28/1.49 % (179060)------------------------------
% 3.28/1.49 % (179075)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=623472100:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.28/1.49 % (179075)First to succeed.
% 3.28/1.49 % (179075)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-179052"
% 3.28/1.49 % (179078)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1642604548:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.28/1.49 % (179072)------------------------------
% 3.28/1.49 % (179072)------------------------------
% 3.28/1.49 % (179075)Refutation found. Thanks to Tanya!
% 3.28/1.49 % SZS status Theorem for theBenchmark
% 3.28/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 4.90/1.67 % (179075)------------------------------
% 4.90/1.67 % (179075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67 % (179075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67 % (179075)CaDiCaL version: 2.1.3
% 4.90/1.67 % (179075)Termination reason: Refutation
% 4.90/1.67 % (179075)Time elapsed: 0.025 s
% 4.90/1.67 % (179075)Peak memory usage: 91 MB
% 4.90/1.67 % (179075)Instructions burned: 85 (million)
% 4.90/1.67 % (179075)------------------------------
% 4.90/1.67 % (179075)------------------------------
% 4.90/1.67 % (179052)Success in time 0.623 s
% 4.90/1.67 % Vampire exiting
%------------------------------------------------------------------------------