%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB051+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:00:19 PM UTC 2026
% Result : Theorem 1.68s 1.15s
% Output : Refutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 117 ( 30 unt; 4 def)
% Number of atoms : 428 ( 72 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 512 ( 201 ~; 209 |; 83 &)
% ( 14 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-3 aty)
% Number of variables : 175 ( 0 sgn 157 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( iext(X1,X0,X2)
=> ip(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f52,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_domain,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',rdfs_range_main) ).
fof(f296,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_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_002) ).
fof(f398,axiom,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X2)
& iext(X0,X2,X3) )
=> iext(X0,X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_transitive) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_transitive_ext) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2,X3,X4,X5] :
( iext(uri_owl_oneOf,X1,X3)
& iext(uri_rdfs_domain,uri_ex_p,X1)
& iext(uri_rdfs_range,uri_ex_p,X4)
& iext(uri_rdf_first,X2,uri_ex_y)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_rdf_first,X5,uri_ex_y)
& iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_x)
& iext(uri_rdf_rest,X0,X5)
& iext(uri_rdf_first,X3,uri_ex_x)
& iext(uri_rdf_rest,X3,X2)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_owl_oneOf,X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_char_transitive_ext) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(flattening,[],[f560]) ).
fof(f563,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f398]) ).
fof(f564,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f563]) ).
fof(f566,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f568,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f52]) ).
fof(f569,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f568]) ).
fof(f571,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f59]) ).
fof(f572,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f571]) ).
fof(f581,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = 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) ),
inference(ennf_transformation,[],[f296]) ).
fof(f582,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = 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) ),
inference(flattening,[],[f581]) ).
fof(f592,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f593,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(nnf_transformation,[],[f564]) ).
fof(f594,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(flattening,[],[f593]) ).
fof(f595,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( ~ iext(X0,X1,X3)
& iext(X0,X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(rectify,[],[f594]) ).
fof(f596,plain,
! [X0] :
( ( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ( ~ iext(X0,sK2(X0),sK4(X0))
& iext(X0,sK2(X0),sK3(X0))
& iext(X0,sK3(X0),sK4(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_TransitiveProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0)),skolemize(X3,sK4(X0))],[f595]) ).
fof(f597,plain,
( iext(uri_owl_oneOf,sK6,sK8)
& iext(uri_rdfs_domain,uri_ex_p,sK6)
& iext(uri_rdfs_range,uri_ex_p,sK9)
& iext(uri_rdf_first,sK7,uri_ex_y)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_rdf_first,sK10,uri_ex_y)
& iext(uri_rdf_rest,sK10,uri_rdf_nil)
& iext(uri_rdf_first,sK5,uri_ex_x)
& iext(uri_rdf_rest,sK5,sK10)
& iext(uri_rdf_first,sK8,uri_ex_x)
& iext(uri_rdf_rest,sK8,sK7)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_owl_oneOf,sK9,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9),skolemize(X5,sK10)],[f561]) ).
fof(f612,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X2 != X5
& X4 != X5 ) )
& ( X5 = X2
| X5 = X4
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_oneOf,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,[],[f582]) ).
fof(f613,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X2 != X5
& X4 != X5 ) )
& ( X5 = X2
| X5 = X4
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_oneOf,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,[],[f612]) ).
fof(f614,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X6] :
( ( icext(X0,X6)
| ( X2 != X6
& X4 != X6 ) )
& ( X2 = X6
| X4 = X6
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_oneOf,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,[],[f613]) ).
fof(f615,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( ( sK16(X0,X2,X4) != X2
& sK16(X0,X2,X4) != X4 )
| ~ icext(X0,sK16(X0,X2,X4)) )
& ( sK16(X0,X2,X4) = X2
| sK16(X0,X2,X4) = X4
| icext(X0,sK16(X0,X2,X4)) ) ) )
& ( ( ic(X0)
& ! [X6] :
( ( icext(X0,X6)
| ( X2 != X6
& X4 != X6 ) )
& ( X2 = X6
| X4 = X6
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_oneOf,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,[sK16]),skolemize(X5,sK16(X0,X2,X4))],[f614]) ).
fof(f627,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_TransitiveProperty),
inference(cnf_transformation,[],[f562]) ).
fof(f629,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f592]) ).
fof(f632,plain,
! [X0] :
( iext(X0,sK3(X0),sK4(X0))
| ~ ip(X0)
| icext(uri_owl_TransitiveProperty,X0) ),
inference(cnf_transformation,[],[f596]) ).
fof(f633,plain,
! [X0] :
( iext(X0,sK2(X0),sK3(X0))
| ~ ip(X0)
| icext(uri_owl_TransitiveProperty,X0) ),
inference(cnf_transformation,[],[f596]) ).
fof(f634,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
| ~ ip(X0)
| ~ iext(X0,sK2(X0),sK4(X0)) ),
inference(cnf_transformation,[],[f596]) ).
fof(f637,plain,
iext(uri_owl_oneOf,sK9,sK5),
inference(cnf_transformation,[],[f597]) ).
fof(f638,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_y),
inference(cnf_transformation,[],[f597]) ).
fof(f639,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_x),
inference(cnf_transformation,[],[f597]) ).
fof(f640,plain,
iext(uri_rdf_rest,sK8,sK7),
inference(cnf_transformation,[],[f597]) ).
fof(f641,plain,
iext(uri_rdf_first,sK8,uri_ex_x),
inference(cnf_transformation,[],[f597]) ).
fof(f642,plain,
iext(uri_rdf_rest,sK5,sK10),
inference(cnf_transformation,[],[f597]) ).
fof(f643,plain,
iext(uri_rdf_first,sK5,uri_ex_x),
inference(cnf_transformation,[],[f597]) ).
fof(f644,plain,
iext(uri_rdf_rest,sK10,uri_rdf_nil),
inference(cnf_transformation,[],[f597]) ).
fof(f645,plain,
iext(uri_rdf_first,sK10,uri_ex_y),
inference(cnf_transformation,[],[f597]) ).
fof(f646,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_x),
inference(cnf_transformation,[],[f597]) ).
fof(f647,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_y),
inference(cnf_transformation,[],[f597]) ).
fof(f648,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f597]) ).
fof(f649,plain,
iext(uri_rdf_first,sK7,uri_ex_y),
inference(cnf_transformation,[],[f597]) ).
fof(f650,plain,
iext(uri_rdfs_range,uri_ex_p,sK9),
inference(cnf_transformation,[],[f597]) ).
fof(f651,plain,
iext(uri_rdfs_domain,uri_ex_p,sK6),
inference(cnf_transformation,[],[f597]) ).
fof(f652,plain,
iext(uri_owl_oneOf,sK6,sK8),
inference(cnf_transformation,[],[f597]) ).
fof(f653,plain,
! [X2,X0,X1] :
( ~ iext(X1,X0,X2)
| ip(X1) ),
inference(cnf_transformation,[],[f566]) ).
fof(f660,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f569]) ).
fof(f666,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_range,X0,X1)
| icext(X1,X3)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f572]) ).
fof(f683,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| X4 = X6
| ~ icext(X0,X6)
| X2 = X6
| ~ 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,[],[f615]) ).
fof(f722,plain,
! [X0] :
( ~ iext(X0,sK2(X0),sK4(X0))
| icext(uri_owl_TransitiveProperty,X0) ),
inference(forward_subsumption_resolution,[],[f634,f653]) ).
fof(f745,plain,
ip(uri_ex_p),
inference(resolution,[],[f653,f647]) ).
fof(f766,plain,
~ icext(uri_owl_TransitiveProperty,uri_ex_p),
inference(resolution,[],[f629,f627]) ).
fof(f933,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| icext(sK6,X0) ),
inference(resolution,[],[f660,f651]) ).
fof(f936,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X1,X0)
| icext(sK9,X0) ),
inference(resolution,[],[f666,f650]) ).
fof(f1196,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK5,X3)
| ~ icext(sK9,X1)
| X1 = X2
| ~ iext(uri_rdf_first,sK5,X2)
| X0 = X1
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f683,f637]) ).
fof(f1197,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK8,X3)
| ~ icext(sK6,X1)
| X1 = X2
| ~ iext(uri_rdf_first,sK8,X2)
| X0 = X1
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f683,f652]) ).
fof(f1295,plain,
( icext(sK6,sK2(uri_ex_p))
| ~ ip(uri_ex_p)
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(resolution,[],[f933,f633]) ).
fof(f1302,plain,
( icext(sK6,sK2(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(forward_subsumption_resolution,[],[f1295,f745]) ).
fof(f1304,plain,
icext(sK6,sK2(uri_ex_p)),
inference(forward_subsumption_resolution,[],[f1302,f766]) ).
fof(f1313,plain,
( icext(sK9,sK4(uri_ex_p))
| ~ ip(uri_ex_p)
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(resolution,[],[f936,f632]) ).
fof(f1318,plain,
( icext(sK9,sK4(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p) ),
inference(forward_subsumption_resolution,[],[f1313,f745]) ).
fof(f1320,plain,
icext(sK9,sK4(uri_ex_p)),
inference(forward_subsumption_resolution,[],[f1318,f766]) ).
fof(f1663,plain,
! [X2,X0,X1] :
( ~ icext(sK9,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK5,X1)
| X0 = X2
| ~ iext(uri_rdf_first,sK10,X2)
| ~ iext(uri_rdf_rest,sK10,uri_rdf_nil) ),
inference(resolution,[],[f1196,f642]) ).
fof(f1664,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK10,X2)
| X0 = X1
| ~ iext(uri_rdf_first,sK5,X1)
| X0 = X2
| ~ icext(sK9,X0) ),
inference(forward_subsumption_resolution,[],[f1663,f644]) ).
fof(f1665,plain,
! [X2,X0,X1] :
( ~ icext(sK6,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK8,X1)
| X0 = X2
| ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
inference(resolution,[],[f1197,f640]) ).
fof(f1666,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK8,X1)
| X0 = X1
| ~ icext(sK6,X0)
| X0 = X2
| ~ iext(uri_rdf_first,sK7,X2) ),
inference(forward_subsumption_resolution,[],[f1665,f648]) ).
fof(f2472,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK5,X1)
| X0 = X1
| uri_ex_y = X0
| ~ icext(sK9,X0) ),
inference(resolution,[],[f1664,f645]) ).
fof(f2473,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK7,X1)
| ~ icext(sK6,X0)
| X0 = X1
| uri_ex_x = X0 ),
inference(resolution,[],[f1666,f641]) ).
fof(f3622,plain,
! [X0] :
( ~ icext(sK9,X0)
| uri_ex_y = X0
| uri_ex_x = X0 ),
inference(resolution,[],[f2472,f643]) ).
fof(f3631,plain,
! [X0] :
( ~ icext(sK6,X0)
| uri_ex_y = X0
| uri_ex_x = X0 ),
inference(resolution,[],[f2473,f649]) ).
fof(f3657,plain,
( uri_ex_y = sK4(uri_ex_p)
| uri_ex_x = sK4(uri_ex_p) ),
inference(resolution,[],[f3622,f1320]) ).
fof(f3672,definition,
( spl19_183
<=> uri_ex_x = sK4(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl19_183])],[avatar_definition]) ).
fof(f3674,plain,
( uri_ex_x = sK4(uri_ex_p)
| ~ spl19_183 ),
inference(avatar_component_clause,[],[f3672]) ).
fof(f3676,definition,
( spl19_184
<=> uri_ex_y = sK4(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl19_184])],[avatar_definition]) ).
fof(f3678,plain,
( uri_ex_y = sK4(uri_ex_p)
| ~ spl19_184 ),
inference(avatar_component_clause,[],[f3676]) ).
fof(f3679,plain,
( spl19_183
| spl19_184 ),
inference(avatar_split_clause,[],[f3657,f3676,f3672]) ).
fof(f3937,plain,
( uri_ex_y = sK2(uri_ex_p)
| uri_ex_x = sK2(uri_ex_p) ),
inference(resolution,[],[f3631,f1304]) ).
fof(f3953,definition,
( spl19_200
<=> uri_ex_x = sK2(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl19_200])],[avatar_definition]) ).
fof(f3955,plain,
( uri_ex_x = sK2(uri_ex_p)
| ~ spl19_200 ),
inference(avatar_component_clause,[],[f3953]) ).
fof(f3957,definition,
( spl19_201
<=> uri_ex_y = sK2(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl19_201])],[avatar_definition]) ).
fof(f3959,plain,
( uri_ex_y = sK2(uri_ex_p)
| ~ spl19_201 ),
inference(avatar_component_clause,[],[f3957]) ).
fof(f3960,plain,
( spl19_200
| spl19_201 ),
inference(avatar_split_clause,[],[f3937,f3957,f3953]) ).
fof(f4017,plain,
( ~ iext(uri_ex_p,uri_ex_x,sK4(uri_ex_p))
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| ~ spl19_200 ),
inference(superposition,[],[f722,f3955]) ).
fof(f4018,plain,
( ~ iext(uri_ex_p,uri_ex_x,sK4(uri_ex_p))
| ~ spl19_200 ),
inference(forward_subsumption_resolution,[],[f4017,f766]) ).
fof(f4022,plain,
( ~ iext(uri_ex_p,uri_ex_x,uri_ex_y)
| ~ spl19_184
| ~ spl19_200 ),
inference(forward_demodulation,[],[f4018,f3678]) ).
fof(f4024,plain,
( $false
| ~ spl19_184
| ~ spl19_200 ),
inference(forward_subsumption_resolution,[],[f4022,f647]) ).
fof(f4025,plain,
( ~ spl19_184
| ~ spl19_200 ),
inference(avatar_contradiction_clause,[],[f4024]) ).
fof(f4029,plain,
( ~ iext(uri_ex_p,uri_ex_x,uri_ex_x)
| ~ spl19_183
| ~ spl19_200 ),
inference(forward_demodulation,[],[f4018,f3674]) ).
fof(f4030,plain,
( $false
| ~ spl19_183
| ~ spl19_200 ),
inference(forward_subsumption_resolution,[],[f4029,f646]) ).
fof(f4031,plain,
( ~ spl19_183
| ~ spl19_200 ),
inference(avatar_contradiction_clause,[],[f4030]) ).
fof(f4044,plain,
( ~ iext(uri_ex_p,sK2(uri_ex_p),uri_ex_y)
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| ~ spl19_184 ),
inference(superposition,[],[f722,f3678]) ).
fof(f4045,plain,
( ~ iext(uri_ex_p,sK2(uri_ex_p),uri_ex_y)
| ~ spl19_184 ),
inference(forward_subsumption_resolution,[],[f4044,f766]) ).
fof(f4047,plain,
( ~ iext(uri_ex_p,uri_ex_y,uri_ex_y)
| ~ spl19_184
| ~ spl19_201 ),
inference(forward_demodulation,[],[f4045,f3959]) ).
fof(f4049,plain,
( $false
| ~ spl19_184
| ~ spl19_201 ),
inference(forward_subsumption_resolution,[],[f4047,f638]) ).
fof(f4050,plain,
( ~ spl19_184
| ~ spl19_201 ),
inference(avatar_contradiction_clause,[],[f4049]) ).
fof(f4089,plain,
( ~ iext(uri_ex_p,sK2(uri_ex_p),uri_ex_x)
| icext(uri_owl_TransitiveProperty,uri_ex_p)
| ~ spl19_183 ),
inference(superposition,[],[f722,f3674]) ).
fof(f4090,plain,
( ~ iext(uri_ex_p,sK2(uri_ex_p),uri_ex_x)
| ~ spl19_183 ),
inference(forward_subsumption_resolution,[],[f4089,f766]) ).
fof(f4092,plain,
( ~ iext(uri_ex_p,uri_ex_y,uri_ex_x)
| ~ spl19_183
| ~ spl19_201 ),
inference(forward_demodulation,[],[f4090,f3959]) ).
fof(f4094,plain,
( $false
| ~ spl19_183
| ~ spl19_201 ),
inference(forward_subsumption_resolution,[],[f4092,f639]) ).
fof(f4095,plain,
( ~ spl19_183
| ~ spl19_201 ),
inference(avatar_contradiction_clause,[],[f4094]) ).
cnf(s206,plain,
( spl19_183
| spl19_184 ),
inference(sat_conversion,[],[f3679]) ).
cnf(s225,plain,
( spl19_200
| spl19_201 ),
inference(sat_conversion,[],[f3960]) ).
cnf(s231,plain,
( ~ spl19_184
| ~ spl19_200 ),
inference(sat_conversion,[],[f4025]) ).
cnf(s232,plain,
( ~ spl19_183
| ~ spl19_200 ),
inference(sat_conversion,[],[f4031]) ).
cnf(s233,plain,
( ~ spl19_184
| ~ spl19_201 ),
inference(sat_conversion,[],[f4050]) ).
cnf(s235,plain,
( ~ spl19_183
| ~ spl19_201 ),
inference(sat_conversion,[],[f4095]) ).
cnf(s245,plain,
~ spl19_184,
inference(rat,[],[s225,s231,s233]) ).
cnf(s246,plain,
spl19_183,
inference(rat,[],[s206,s245]) ).
cnf(s247,plain,
~ spl19_201,
inference(rat,[],[s235,s246]) ).
cnf(s248,plain,
~ spl19_200,
inference(rat,[],[s232,s246]) ).
cnf(s250,plain,
$false,
inference(rat,[],[s225,s247,s248]) ).
fof(f4097,plain,
$false,
inference(avatar_sat_refutation,[],[s250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB051+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n017.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 07:10:05 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/1.15 % (3366063)Detected formulas, will run a generic FOF schedule.
% 1.68/1.15 % (3366073)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1624450120:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.68/1.15 % (3366071)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=393519949:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.68/1.15 % (3366072)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1950203795:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.68/1.15 % (3366070)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=3611079736:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.68/1.15 % (3366068)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=3851384901:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.68/1.15 % (3366074)dis-21_1_sil=8000:lcm=predicate:random_seed=1461001018: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)
% 1.68/1.15 % (3366069)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=2443822555:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.68/1.15 % (3366071)Refutation not found, incomplete strategy
% 1.68/1.15 % (3366071)------------------------------
% 1.68/1.15 % (3366071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.68/1.15 % (3366071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/1.15 % (3366071)CaDiCaL version: 2.1.3
% 1.68/1.15 % (3366071)Termination reason: Refutation not found, incomplete strategy
% 1.68/1.15 % (3366071)Time elapsed: 0.002 s
% 1.68/1.15 % (3366071)Peak memory usage: 88 MB
% 1.68/1.15 % (3366071)Instructions burned: 2 (million)
% 1.68/1.15 % (3366073)Instruction limit reached!
% 1.68/1.15 % (3366073)------------------------------
% 1.68/1.15 % (3366073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.68/1.15 % (3366073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/1.15 % (3366073)CaDiCaL version: 2.1.3
% 1.68/1.15 % (3366073)Termination reason: Instruction limit
% 1.68/1.15 % (3366073)Termination phase: Saturation
% 1.68/1.15 % (3366073)Time elapsed: 0.045 s
% 1.68/1.15 % (3366073)Peak memory usage: 91 MB
% 1.68/1.15 % (3366073)Instructions burned: 141 (million)
% 1.68/1.15 % (3366072)Instruction limit reached!
% 1.68/1.15 % (3366072)------------------------------
% 1.68/1.15 % (3366072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.68/1.15 % (3366072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/1.15 % (3366072)CaDiCaL version: 2.1.3
% 1.68/1.15 % (3366072)Termination reason: Instruction limit
% 1.68/1.15 % (3366072)Termination phase: Saturation
% 1.68/1.15 % (3366072)Time elapsed: 0.056 s
% 1.68/1.15 % (3366072)Peak memory usage: 88 MB
% 1.68/1.15 % (3366072)Instructions burned: 119 (million)
% 1.68/1.15 % (3366074)Instruction limit reached!
% 1.68/1.15 % (3366074)------------------------------
% 1.68/1.15 % (3366074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.68/1.15 % (3366074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/1.15 % (3366074)CaDiCaL version: 2.1.3
% 1.68/1.15 % (3366074)Termination reason: Instruction limit
% 1.68/1.15 % (3366074)Termination phase: Saturation
% 1.68/1.15 % (3366074)Time elapsed: 0.069 s
% 1.68/1.15 % (3366074)Peak memory usage: 91 MB
% 1.68/1.15 % (3366074)Instructions burned: 131 (million)
% 1.68/1.15 % (3366082)lrs+10_1_sil=8000:sp=occurrence:random_seed=2406378977:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.68/1.15 % (3366082)First to succeed.
% 1.68/1.15 % (3366082)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3366063"
% 1.68/1.15 % (3366083)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1289507495:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.68/1.15 % (3366083)Refutation not found, incomplete strategy
% 1.68/1.15 % (3366083)------------------------------
% 1.68/1.15 % (3366083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.68/1.15 % (3366083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/1.15 % (3366083)CaDiCaL version: 2.1.3
% 1.68/1.15 % (3366083)Termination reason: Refutation not found, incomplete strategy
% 1.68/1.15 % (3366083)Time elapsed: 0.005 s
% 1.68/1.15 % (3366083)Peak memory usage: 89 MB
% 1.68/1.15 % (3366083)Instructions burned: 6 (million)
% 1.68/1.15 % (3366084)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1573542708:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.68/1.15 % (3366084)Refutation not found, incomplete strategy
% 1.68/1.15 % (3366084)------------------------------
% 1.68/1.15 % (3366084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.68/1.15 % (3366084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.68/1.15 % (3366084)CaDiCaL version: 2.1.3
% 1.68/1.15 % (3366084)Termination reason: Refutation not found, incomplete strategy
% 1.68/1.15 % (3366084)Time elapsed: 0.004 s
% 1.68/1.15 % (3366084)Peak memory usage: 88 MB
% 1.68/1.15 % (3366084)Instructions burned: 3 (million)
% 1.68/1.15 % (3366071)------------------------------
% 1.68/1.15 % (3366071)------------------------------
% 1.68/1.15 % (3366082)Refutation found. Thanks to Tanya!
% 1.68/1.15 % SZS status Theorem for theBenchmark
% 1.68/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 4.00/1.35 % (3366082)------------------------------
% 4.00/1.35 % (3366082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.35 % (3366082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.35 % (3366082)CaDiCaL version: 2.1.3
% 4.00/1.35 % (3366082)Termination reason: Refutation
% 4.00/1.35 % (3366082)Time elapsed: 0.037 s
% 4.00/1.35 % (3366082)Peak memory usage: 91 MB
% 4.00/1.35 % (3366082)Instructions burned: 101 (million)
% 4.00/1.35 % (3366082)------------------------------
% 4.00/1.35 % (3366082)------------------------------
% 4.00/1.35 % (3366063)Success in time 0.529 s
% 4.00/1.35 % Vampire exiting
%------------------------------------------------------------------------------