%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB064+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 : n004.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 01:00:20 PM UTC 2026
% Result : Theorem 4.19s 1.27s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 95 ( 24 unt; 2 def)
% Number of atoms : 339 ( 32 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 406 ( 162 ~; 164 |; 66 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 123 !; 11 ?)
% 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(f352,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentProperty,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentproperty) ).
fof(f559,conjecture,
iext(uri_owl_equivalentProperty,uri_ex_p1,uri_ex_p2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_eqprop_ext) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentProperty,uri_ex_p1,uri_ex_p2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x)
& iext(uri_rdfs_range,uri_ex_p1,uri_ex_y)
& iext(uri_ex_p1,uri_ex_s,uri_ex_o)
& iext(uri_ex_p2,uri_ex_s,uri_ex_o)
& iext(uri_owl_oneOf,uri_ex_x,X1)
& iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x)
& iext(uri_rdfs_range,uri_ex_p2,uri_ex_y)
& iext(uri_rdf_first,X1,uri_ex_s)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_y,X0)
& iext(uri_rdf_first,X0,uri_ex_o)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_eqprop_ext) ).
fof(f562,plain,
~ iext(uri_owl_equivalentProperty,uri_ex_p1,uri_ex_p2),
inference(flattening,[],[f560]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f52]) ).
fof(f566,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f565]) ).
fof(f568,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f59]) ).
fof(f569,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f568]) ).
fof(f580,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(f581,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,[],[f580]) ).
fof(f583,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f593,plain,
( iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x)
& iext(uri_rdfs_range,uri_ex_p1,uri_ex_y)
& iext(uri_ex_p1,uri_ex_s,uri_ex_o)
& iext(uri_ex_p2,uri_ex_s,uri_ex_o)
& iext(uri_owl_oneOf,uri_ex_x,sK1)
& iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x)
& iext(uri_rdfs_range,uri_ex_p2,uri_ex_y)
& iext(uri_rdf_first,sK1,uri_ex_s)
& iext(uri_rdf_rest,sK1,uri_rdf_nil)
& iext(uri_owl_oneOf,uri_ex_y,sK0)
& iext(uri_rdf_first,sK0,uri_ex_o)
& iext(uri_rdf_rest,sK0,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f561]) ).
fof(f594,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X2,X3) )
& ( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(nnf_transformation,[],[f352]) ).
fof(f595,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X2,X3) )
& ( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(flattening,[],[f594]) ).
fof(f596,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(rectify,[],[f595]) ).
fof(f597,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK2(X0,X1),sK3(X0,X1))
| ~ iext(X0,sK2(X0,X1),sK3(X0,X1)) )
& ( iext(X1,sK2(X0,X1),sK3(X0,X1))
| iext(X0,sK2(X0,X1),sK3(X0,X1)) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f596]) ).
fof(f614,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,[],[f581]) ).
fof(f615,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,[],[f614]) ).
fof(f616,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,[],[f615]) ).
fof(f617,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK10(X0,X2) != X2
| ~ icext(X0,sK10(X0,X2)) )
& ( sK10(X0,X2) = X2
| icext(X0,sK10(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,[sK10]),skolemize(X3,sK10(X0,X2))],[f616]) ).
fof(f627,plain,
~ iext(uri_owl_equivalentProperty,uri_ex_p1,uri_ex_p2),
inference(cnf_transformation,[],[f562]) ).
fof(f628,plain,
iext(uri_rdf_rest,sK0,uri_rdf_nil),
inference(cnf_transformation,[],[f593]) ).
fof(f629,plain,
iext(uri_rdf_first,sK0,uri_ex_o),
inference(cnf_transformation,[],[f593]) ).
fof(f630,plain,
iext(uri_owl_oneOf,uri_ex_y,sK0),
inference(cnf_transformation,[],[f593]) ).
fof(f631,plain,
iext(uri_rdf_rest,sK1,uri_rdf_nil),
inference(cnf_transformation,[],[f593]) ).
fof(f632,plain,
iext(uri_rdf_first,sK1,uri_ex_s),
inference(cnf_transformation,[],[f593]) ).
fof(f633,plain,
iext(uri_rdfs_range,uri_ex_p2,uri_ex_y),
inference(cnf_transformation,[],[f593]) ).
fof(f634,plain,
iext(uri_rdfs_domain,uri_ex_p2,uri_ex_x),
inference(cnf_transformation,[],[f593]) ).
fof(f635,plain,
iext(uri_owl_oneOf,uri_ex_x,sK1),
inference(cnf_transformation,[],[f593]) ).
fof(f636,plain,
iext(uri_ex_p2,uri_ex_s,uri_ex_o),
inference(cnf_transformation,[],[f593]) ).
fof(f637,plain,
iext(uri_ex_p1,uri_ex_s,uri_ex_o),
inference(cnf_transformation,[],[f593]) ).
fof(f638,plain,
iext(uri_rdfs_range,uri_ex_p1,uri_ex_y),
inference(cnf_transformation,[],[f593]) ).
fof(f639,plain,
iext(uri_rdfs_domain,uri_ex_p1,uri_ex_x),
inference(cnf_transformation,[],[f593]) ).
fof(f644,plain,
! [X0,X1] :
( ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_equivalentProperty,X0,X1)
| iext(X1,sK2(X0,X1),sK3(X0,X1))
| iext(X0,sK2(X0,X1),sK3(X0,X1)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f645,plain,
! [X0,X1] :
( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ~ iext(X1,sK2(X0,X1),sK3(X0,X1))
| ~ iext(X0,sK2(X0,X1),sK3(X0,X1)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f655,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f566]) ).
fof(f661,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_range,X0,X1)
| icext(X1,X3)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f569]) ).
fof(f682,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ icext(X0,X4)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| X2 = X4 ),
inference(cnf_transformation,[],[f617]) ).
fof(f693,plain,
! [X2,X0,X1] :
( ~ iext(X1,X0,X2)
| ip(X1) ),
inference(cnf_transformation,[],[f583]) ).
fof(f730,plain,
! [X0,X1] :
( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ iext(X1,sK2(X0,X1),sK3(X0,X1))
| ~ iext(X0,sK2(X0,X1),sK3(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f645,f693]) ).
fof(f731,plain,
! [X0,X1] :
( ~ iext(X1,sK2(X0,X1),sK3(X0,X1))
| iext(uri_owl_equivalentProperty,X0,X1)
| ~ iext(X0,sK2(X0,X1),sK3(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f730,f693]) ).
fof(f732,plain,
! [X0,X1] :
( ~ iext(uri_ex_p2,X1,X0)
| icext(uri_ex_y,X0) ),
inference(resolution,[],[f661,f633]) ).
fof(f733,plain,
! [X0,X1] :
( ~ iext(uri_ex_p1,X1,X0)
| icext(uri_ex_y,X0) ),
inference(resolution,[],[f661,f638]) ).
fof(f735,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_oneOf,X0,sK0)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK0,X2)
| X1 = X2 ),
inference(resolution,[],[f628,f682]) ).
fof(f737,plain,
! [X2,X0,X1] :
( ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK1)
| ~ iext(uri_rdf_first,sK1,X2)
| X1 = X2 ),
inference(resolution,[],[f631,f682]) ).
fof(f738,plain,
! [X0,X1] :
( ~ iext(uri_ex_p2,X0,X1)
| icext(uri_ex_x,X0) ),
inference(resolution,[],[f655,f634]) ).
fof(f739,plain,
! [X0,X1] :
( ~ iext(uri_ex_p1,X0,X1)
| icext(uri_ex_x,X0) ),
inference(resolution,[],[f655,f639]) ).
fof(f760,plain,
ip(uri_ex_p1),
inference(resolution,[],[f693,f637]) ).
fof(f761,plain,
ip(uri_ex_p2),
inference(resolution,[],[f693,f636]) ).
fof(f803,plain,
! [X0] :
( ~ ip(X0)
| iext(uri_owl_equivalentProperty,X0,uri_ex_p2)
| iext(uri_ex_p2,sK2(X0,uri_ex_p2),sK3(X0,uri_ex_p2))
| iext(X0,sK2(X0,uri_ex_p2),sK3(X0,uri_ex_p2)) ),
inference(resolution,[],[f761,f644]) ).
fof(f825,plain,
( iext(uri_owl_equivalentProperty,uri_ex_p1,uri_ex_p2)
| iext(uri_ex_p2,sK2(uri_ex_p1,uri_ex_p2),sK3(uri_ex_p1,uri_ex_p2))
| iext(uri_ex_p1,sK2(uri_ex_p1,uri_ex_p2),sK3(uri_ex_p1,uri_ex_p2)) ),
inference(resolution,[],[f803,f760]) ).
fof(f835,plain,
( iext(uri_ex_p2,sK2(uri_ex_p1,uri_ex_p2),sK3(uri_ex_p1,uri_ex_p2))
| iext(uri_ex_p1,sK2(uri_ex_p1,uri_ex_p2),sK3(uri_ex_p1,uri_ex_p2)) ),
inference(forward_subsumption_resolution,[],[f825,f627]) ).
fof(f847,definition,
( spl13_22
<=> iext(uri_ex_p1,sK2(uri_ex_p1,uri_ex_p2),sK3(uri_ex_p1,uri_ex_p2)) ),
introduced(definition,[new_symbols(definition,[spl13_22])],[avatar_definition]) ).
fof(f848,plain,
( iext(uri_ex_p1,sK2(uri_ex_p1,uri_ex_p2),sK3(uri_ex_p1,uri_ex_p2))
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f850,definition,
( spl13_23
<=> iext(uri_ex_p2,sK2(uri_ex_p1,uri_ex_p2),sK3(uri_ex_p1,uri_ex_p2)) ),
introduced(definition,[new_symbols(definition,[spl13_23])],[avatar_definition]) ).
fof(f851,plain,
( iext(uri_ex_p2,sK2(uri_ex_p1,uri_ex_p2),sK3(uri_ex_p1,uri_ex_p2))
| ~ spl13_23 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f852,plain,
( spl13_22
| spl13_23 ),
inference(avatar_split_clause,[],[f835,f850,f847]) ).
fof(f929,plain,
( icext(uri_ex_y,sK3(uri_ex_p1,uri_ex_p2))
| ~ spl13_22 ),
inference(resolution,[],[f733,f848]) ).
fof(f936,plain,
( icext(uri_ex_x,sK2(uri_ex_p1,uri_ex_p2))
| ~ spl13_22 ),
inference(resolution,[],[f739,f848]) ).
fof(f937,plain,
( ! [X0] :
( ~ iext(uri_owl_oneOf,uri_ex_x,sK1)
| ~ iext(uri_rdf_first,sK1,X0)
| sK2(uri_ex_p1,uri_ex_p2) = X0 )
| ~ spl13_22 ),
inference(resolution,[],[f936,f737]) ).
fof(f938,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK1,X0)
| sK2(uri_ex_p1,uri_ex_p2) = X0 )
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f937,f635]) ).
fof(f939,plain,
( uri_ex_s = sK2(uri_ex_p1,uri_ex_p2)
| ~ spl13_22 ),
inference(resolution,[],[f938,f632]) ).
fof(f974,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK0,X1)
| ~ icext(uri_ex_y,X0)
| X0 = X1 ),
inference(resolution,[],[f735,f630]) ).
fof(f975,plain,
! [X0] :
( ~ icext(uri_ex_y,X0)
| uri_ex_o = X0 ),
inference(resolution,[],[f974,f629]) ).
fof(f977,plain,
( uri_ex_o = sK3(uri_ex_p1,uri_ex_p2)
| ~ spl13_22 ),
inference(resolution,[],[f975,f929]) ).
fof(f984,plain,
( ~ iext(uri_ex_p2,sK2(uri_ex_p1,uri_ex_p2),uri_ex_o)
| iext(uri_owl_equivalentProperty,uri_ex_p1,uri_ex_p2)
| ~ iext(uri_ex_p1,sK2(uri_ex_p1,uri_ex_p2),uri_ex_o)
| ~ spl13_22 ),
inference(superposition,[],[f731,f977]) ).
fof(f985,plain,
( ~ iext(uri_ex_p2,sK2(uri_ex_p1,uri_ex_p2),uri_ex_o)
| ~ iext(uri_ex_p1,sK2(uri_ex_p1,uri_ex_p2),uri_ex_o)
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f984,f627]) ).
fof(f989,plain,
( ~ iext(uri_ex_p2,uri_ex_s,uri_ex_o)
| ~ iext(uri_ex_p1,sK2(uri_ex_p1,uri_ex_p2),uri_ex_o)
| ~ spl13_22 ),
inference(forward_demodulation,[],[f985,f939]) ).
fof(f990,plain,
( ~ iext(uri_ex_p1,sK2(uri_ex_p1,uri_ex_p2),uri_ex_o)
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f989,f636]) ).
fof(f991,plain,
( ~ iext(uri_ex_p1,uri_ex_s,uri_ex_o)
| ~ spl13_22 ),
inference(forward_demodulation,[],[f990,f939]) ).
fof(f992,plain,
( $false
| ~ spl13_22 ),
inference(forward_subsumption_resolution,[],[f991,f637]) ).
fof(f993,plain,
~ spl13_22,
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f994,plain,
( icext(uri_ex_x,sK2(uri_ex_p1,uri_ex_p2))
| ~ spl13_23 ),
inference(resolution,[],[f851,f738]) ).
fof(f995,plain,
( icext(uri_ex_y,sK3(uri_ex_p1,uri_ex_p2))
| ~ spl13_23 ),
inference(resolution,[],[f851,f732]) ).
fof(f1005,plain,
( ! [X0] :
( ~ iext(uri_owl_oneOf,uri_ex_x,sK1)
| ~ iext(uri_rdf_first,sK1,X0)
| sK2(uri_ex_p1,uri_ex_p2) = X0 )
| ~ spl13_23 ),
inference(resolution,[],[f994,f737]) ).
fof(f1006,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK1,X0)
| sK2(uri_ex_p1,uri_ex_p2) = X0 )
| ~ spl13_23 ),
inference(forward_subsumption_resolution,[],[f1005,f635]) ).
fof(f1013,plain,
( uri_ex_o = sK3(uri_ex_p1,uri_ex_p2)
| ~ spl13_23 ),
inference(resolution,[],[f995,f975]) ).
fof(f1023,plain,
( uri_ex_s = sK2(uri_ex_p1,uri_ex_p2)
| ~ spl13_23 ),
inference(resolution,[],[f1006,f632]) ).
fof(f1029,plain,
( ~ iext(uri_ex_p2,uri_ex_s,sK3(uri_ex_p1,uri_ex_p2))
| iext(uri_owl_equivalentProperty,uri_ex_p1,uri_ex_p2)
| ~ iext(uri_ex_p1,uri_ex_s,sK3(uri_ex_p1,uri_ex_p2))
| ~ spl13_23 ),
inference(superposition,[],[f731,f1023]) ).
fof(f1030,plain,
( ~ iext(uri_ex_p2,uri_ex_s,sK3(uri_ex_p1,uri_ex_p2))
| ~ iext(uri_ex_p1,uri_ex_s,sK3(uri_ex_p1,uri_ex_p2))
| ~ spl13_23 ),
inference(forward_subsumption_resolution,[],[f1029,f627]) ).
fof(f1035,plain,
( ~ iext(uri_ex_p2,uri_ex_s,uri_ex_o)
| ~ iext(uri_ex_p1,uri_ex_s,sK3(uri_ex_p1,uri_ex_p2))
| ~ spl13_23 ),
inference(forward_demodulation,[],[f1030,f1013]) ).
fof(f1038,plain,
( ~ iext(uri_ex_p1,uri_ex_s,sK3(uri_ex_p1,uri_ex_p2))
| ~ spl13_23 ),
inference(forward_subsumption_resolution,[],[f1035,f636]) ).
fof(f1039,plain,
( ~ iext(uri_ex_p1,uri_ex_s,uri_ex_o)
| ~ spl13_23 ),
inference(forward_demodulation,[],[f1038,f1013]) ).
fof(f1040,plain,
( $false
| ~ spl13_23 ),
inference(forward_subsumption_resolution,[],[f1039,f637]) ).
fof(f1041,plain,
~ spl13_23,
inference(avatar_contradiction_clause,[],[f1040]) ).
cnf(s10,plain,
( spl13_22
| spl13_23 ),
inference(sat_conversion,[],[f852]) ).
cnf(s20,plain,
~ spl13_22,
inference(sat_conversion,[],[f993]) ).
cnf(s23,plain,
~ spl13_23,
inference(sat_conversion,[],[f1041]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s10,s23,s20]) ).
fof(f1042,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB064+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n004.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 : Mon Sep 28 07:15:22 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.41 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
% 4.19/1.27 % (171004)Detected formulas, will run a generic FOF schedule.
% 4.19/1.27 % (171010)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=3749331752:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.19/1.27 % (171012)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=899304724:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.19/1.27 % (171011)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=1065373855:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.19/1.27 % (171014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=629014556:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.19/1.27 % (171013)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3665041233:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.19/1.27 % (171009)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=387942088:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.19/1.27 % (171015)dis-21_1_sil=8000:lcm=predicate:random_seed=3620670474: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)
% 4.19/1.27 % (171012)Refutation not found, incomplete strategy
% 4.19/1.27 % (171012)------------------------------
% 4.19/1.27 % (171012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.27 % (171012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.27 % (171012)CaDiCaL version: 2.1.3
% 4.19/1.27 % (171012)Termination reason: Refutation not found, incomplete strategy
% 4.19/1.27 % (171012)Time elapsed: 0.003 s
% 4.19/1.27 % (171012)Peak memory usage: 88 MB
% 4.19/1.27 % (171012)Instructions burned: 2 (million)
% 4.19/1.27 % (171013)Instruction limit reached!
% 4.19/1.27 % (171013)------------------------------
% 4.19/1.27 % (171013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.27 % (171013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.27 % (171013)CaDiCaL version: 2.1.3
% 4.19/1.27 % (171013)Termination reason: Instruction limit
% 4.19/1.27 % (171013)Termination phase: Saturation
% 4.19/1.27 % (171013)Time elapsed: 0.062 s
% 4.19/1.27 % (171013)Peak memory usage: 88 MB
% 4.19/1.27 % (171013)Instructions burned: 119 (million)
% 4.19/1.27 % (171015)Instruction limit reached!
% 4.19/1.27 % (171015)------------------------------
% 4.19/1.27 % (171015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.27 % (171015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.27 % (171015)CaDiCaL version: 2.1.3
% 4.19/1.27 % (171015)Termination reason: Instruction limit
% 4.19/1.27 % (171015)Termination phase: Saturation
% 4.19/1.27 % (171015)Time elapsed: 0.066 s
% 4.19/1.27 % (171015)Peak memory usage: 91 MB
% 4.19/1.27 % (171015)Instructions burned: 130 (million)
% 4.19/1.27 % (171014)Instruction limit reached!
% 4.19/1.27 % (171014)------------------------------
% 4.19/1.27 % (171014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.27 % (171014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.27 % (171014)CaDiCaL version: 2.1.3
% 4.19/1.27 % (171014)Termination reason: Instruction limit
% 4.19/1.27 % (171014)Termination phase: Saturation
% 4.19/1.27 % (171014)Time elapsed: 0.077 s
% 4.19/1.27 % (171014)Peak memory usage: 90 MB
% 4.19/1.27 % (171014)Instructions burned: 140 (million)
% 4.19/1.27 % (171023)lrs+10_1_sil=8000:sp=occurrence:random_seed=1710914121:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.19/1.27 % (171024)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1338519446:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.19/1.27 % (171024)Refutation not found, incomplete strategy
% 4.19/1.27 % (171024)------------------------------
% 4.19/1.27 % (171024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.27 % (171024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.27 % (171024)CaDiCaL version: 2.1.3
% 4.19/1.27 % (171024)Termination reason: Refutation not found, incomplete strategy
% 4.19/1.27 % (171024)Time elapsed: 0.005 s
% 4.19/1.27 % (171024)Peak memory usage: 89 MB
% 4.19/1.27 % (171024)Instructions burned: 6 (million)
% 4.19/1.27 % (171025)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1360360393:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.19/1.27 % (171012)------------------------------
% 4.19/1.27 % (171012)------------------------------
% 4.19/1.27 % (171025)Refutation not found, incomplete strategy
% 4.19/1.27 % (171025)------------------------------
% 4.19/1.27 % (171025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.19/1.27 % (171025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.19/1.27 % (171025)CaDiCaL version: 2.1.3
% 4.19/1.27 % (171025)Termination reason: Refutation not found, incomplete strategy
% 4.19/1.27 % (171025)Time elapsed: 0.004 s
% 4.19/1.27 % (171025)Peak memory usage: 88 MB
% 4.19/1.27 % (171025)Instructions burned: 3 (million)
% 4.19/1.27 % (171010)First to succeed.
% 4.19/1.27 % (171010)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-171004"
% 4.19/1.27 % (171023)Also succeeded, but the first one will report.
% 4.19/1.27 % (171029)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=250846415:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.19/1.27 % (171010)Refutation found. Thanks to Tanya!
% 4.19/1.27 % SZS status Theorem for theBenchmark
% 4.19/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 4.92/1.37 % (171010)------------------------------
% 4.92/1.37 % (171010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.92/1.37 % (171010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.92/1.37 % (171010)CaDiCaL version: 2.1.3
% 4.92/1.37 % (171010)Termination reason: Refutation
% 4.92/1.37 % (171010)Time elapsed: 0.362 s
% 4.92/1.37 % (171010)Peak memory usage: 131 MB
% 4.92/1.37 % (171010)Instructions burned: 988 (million)
% 4.92/1.37 % (171010)------------------------------
% 4.92/1.37 % (171010)------------------------------
% 4.92/1.37 % (171004)Success in time 0.664 s
% 4.92/1.37 % Vampire exiting
%------------------------------------------------------------------------------