%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB016+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 : n001.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 01:00:05 PM UTC 2026
% Result : Theorem 3.17s 1.36s
% Output : Refutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 107 ( 19 unt; 5 def)
% Number of atoms : 375 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 442 ( 174 ~; 180 |; 69 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 121 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( iext(X1,X0,X2)
=> ip(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
fof(f34,axiom,
iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_container_containermembershipproperty_sub) ).
fof(f68,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
fof(f70,axiom,
! [X0] :
( ic(X0)
=> iext(uri_rdfs_subClassOf,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_reflex) ).
fof(f71,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
& iext(uri_rdfs_subClassOf,X1,X2) )
=> iext(uri_rdfs_subClassOf,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_trans) ).
fof(f202,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(f203,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
fof(f343,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f344,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f351,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f559,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f571,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(flattening,[],[f560]) ).
fof(f572,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f581,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f582,plain,
! [X0] :
( iext(uri_rdfs_subClassOf,X0,X0)
| ~ ic(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f583,plain,
! [X0,X1,X2] :
( iext(uri_rdfs_subClassOf,X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ iext(uri_rdfs_subClassOf,X1,X2) ),
inference(ennf_transformation,[],[f71]) ).
fof(f584,plain,
! [X0,X1,X2] :
( iext(uri_rdfs_subClassOf,X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ iext(uri_rdfs_subClassOf,X1,X2) ),
inference(flattening,[],[f583]) ).
fof(f635,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(ennf_transformation,[],[f202]) ).
fof(f790,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f343]) ).
fof(f791,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f344]) ).
fof(f1311,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f790]) ).
fof(f1312,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f1311]) ).
fof(f1313,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f1312]) ).
fof(f1314,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK167(X0,X1))
& icext(X0,sK167(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK167]),skolemize(X2,sK167(X0,X1))],[f1313]) ).
fof(f1315,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f791]) ).
fof(f1316,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f1315]) ).
fof(f1317,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f1316]) ).
fof(f1318,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ~ iext(X1,sK168(X0,X1),sK169(X0,X1))
& iext(X0,sK168(X0,X1),sK169(X0,X1)) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK168,sK169]),skolemize(X2,sK168(X0,X1)),skolemize(X3,sK169(X0,X1))],[f1317]) ).
fof(f1349,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f351]) ).
fof(f1350,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f1349]) ).
fof(f1351,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f1350]) ).
fof(f1352,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK175(X0,X1))
| ~ icext(X0,sK175(X0,X1)) )
& ( icext(X1,sK175(X0,X1))
| icext(X0,sK175(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK175]),skolemize(X2,sK175(X0,X1))],[f1351]) ).
fof(f1459,plain,
! [X2,X0,X1] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(cnf_transformation,[],[f572]) ).
fof(f1494,plain,
iext(uri_rdfs_subClassOf,uri_rdfs_ContainerMembershipProperty,uri_rdf_Property),
inference(cnf_transformation,[],[f34]) ).
fof(f1532,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f581]) ).
fof(f1535,plain,
! [X0] :
( iext(uri_rdfs_subClassOf,X0,X0)
| ~ ic(X0) ),
inference(cnf_transformation,[],[f582]) ).
fof(f1536,plain,
! [X2,X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ iext(uri_rdfs_subClassOf,X1,X2) ),
inference(cnf_transformation,[],[f584]) ).
fof(f1710,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f635]) ).
fof(f1711,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f635]) ).
fof(f1712,plain,
ip(uri_owl_equivalentClass),
inference(cnf_transformation,[],[f203]) ).
fof(f2312,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| icext(X0,sK167(X0,X1)) ),
inference(cnf_transformation,[],[f1314]) ).
fof(f2313,plain,
! [X0,X1] :
( ~ icext(X1,sK167(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f1314]) ).
fof(f2317,plain,
! [X0,X1] :
( iext(X0,sK168(X0,X1),sK169(X0,X1))
| ~ ip(X0)
| ~ ip(X1)
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[],[f1318]) ).
fof(f2318,plain,
! [X0,X1] :
( ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X1)
| ~ iext(X1,sK168(X0,X1),sK169(X0,X1)) ),
inference(cnf_transformation,[],[f1318]) ).
fof(f2378,plain,
! [X3,X0,X1] :
( ~ icext(X0,X3)
| icext(X1,X3)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f1352]) ).
fof(f2748,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(cnf_transformation,[],[f571]) ).
fof(f2798,plain,
! [X0] :
( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X0)
| ~ ip(X0)
| ~ iext(X0,sK168(uri_owl_equivalentClass,X0),sK169(uri_owl_equivalentClass,X0)) ),
inference(resolution,[],[f2318,f1712]) ).
fof(f3139,plain,
! [X0] :
( ~ iext(X0,sK168(uri_owl_equivalentClass,X0),sK169(uri_owl_equivalentClass,X0))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,X0) ),
inference(forward_subsumption_resolution,[],[f2798,f1459]) ).
fof(f3152,plain,
! [X0] :
( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ iext(uri_rdfs_subClassOf,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
| ~ iext(uri_rdfs_subClassOf,X0,sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolution,[],[f3139,f1536]) ).
fof(f3176,plain,
! [X0] :
( ~ iext(uri_rdfs_subClassOf,X0,sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ iext(uri_rdfs_subClassOf,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0) ),
inference(forward_subsumption_resolution,[],[f3152,f2748]) ).
fof(f3221,definition,
( spl251_18
<=> icext(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
introduced(definition,[new_symbols(definition,[spl251_18])],[avatar_definition]) ).
fof(f3223,plain,
( icext(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ spl251_18 ),
inference(avatar_component_clause,[],[f3221]) ).
fof(f3225,definition,
( spl251_19
<=> ic(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(definition,[new_symbols(definition,[spl251_19])],[avatar_definition]) ).
fof(f3226,plain,
( ic(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl251_19 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f3227,plain,
( ~ ic(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl251_19 ),
inference(avatar_component_clause,[],[f3225]) ).
fof(f3229,definition,
( spl251_20
<=> ic(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(definition,[new_symbols(definition,[spl251_20])],[avatar_definition]) ).
fof(f3230,plain,
( ic(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl251_20 ),
inference(avatar_component_clause,[],[f3229]) ).
fof(f3231,plain,
( ~ ic(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl251_20 ),
inference(avatar_component_clause,[],[f3229]) ).
fof(f3238,plain,
( ! [X0] : ~ iext(uri_owl_equivalentClass,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
| spl251_20 ),
inference(resolution,[],[f3231,f1711]) ).
fof(f3303,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl251_20 ),
inference(resolution,[],[f3238,f2317]) ).
fof(f3305,plain,
( ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl251_20 ),
inference(forward_subsumption_resolution,[],[f3303,f1712]) ).
fof(f3306,plain,
( ~ ip(uri_rdfs_subClassOf)
| spl251_20 ),
inference(forward_subsumption_resolution,[],[f3305,f2748]) ).
fof(f3307,plain,
( ! [X0,X1] : ~ iext(uri_rdfs_subClassOf,X0,X1)
| spl251_20 ),
inference(resolution,[],[f3306,f1459]) ).
fof(f3324,plain,
( $false
| spl251_20 ),
inference(resolution,[],[f3307,f1494]) ).
fof(f3340,plain,
spl251_20,
inference(avatar_contradiction_clause,[],[f3324]) ).
fof(f3345,plain,
( ! [X0] : ~ iext(uri_owl_equivalentClass,X0,sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl251_19 ),
inference(resolution,[],[f3227,f1710]) ).
fof(f3348,plain,
( ~ iext(uri_rdfs_subClassOf,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(resolution,[],[f3176,f1535]) ).
fof(f3352,plain,
~ iext(uri_rdfs_subClassOf,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)),
inference(forward_subsumption_resolution,[],[f3348,f1532]) ).
fof(f3379,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl251_19 ),
inference(resolution,[],[f3345,f2317]) ).
fof(f3380,plain,
( ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl251_19 ),
inference(forward_subsumption_resolution,[],[f3379,f1712]) ).
fof(f3381,plain,
( ~ ip(uri_rdfs_subClassOf)
| spl251_19 ),
inference(forward_subsumption_resolution,[],[f3380,f2748]) ).
fof(f3382,plain,
( ! [X0,X1] : ~ iext(uri_rdfs_subClassOf,X0,X1)
| spl251_19 ),
inference(resolution,[],[f3381,f1459]) ).
fof(f3401,plain,
( $false
| spl251_19 ),
inference(resolution,[],[f3382,f1494]) ).
fof(f3417,plain,
spl251_19,
inference(avatar_contradiction_clause,[],[f3401]) ).
fof(f3423,plain,
( ~ ic(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| icext(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
inference(resolution,[],[f3352,f2312]) ).
fof(f3426,plain,
( ~ ic(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| icext(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ spl251_20 ),
inference(forward_subsumption_resolution,[],[f3423,f3230]) ).
fof(f3427,plain,
( icext(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ spl251_19
| ~ spl251_20 ),
inference(forward_subsumption_resolution,[],[f3426,f3226]) ).
fof(f3428,plain,
( spl251_18
| ~ spl251_19
| ~ spl251_20 ),
inference(avatar_split_clause,[],[f3427,f3229,f3225,f3221]) ).
fof(f3430,plain,
( ! [X0] :
( ~ iext(uri_owl_equivalentClass,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
| icext(X0,sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))) )
| ~ spl251_18 ),
inference(resolution,[],[f3223,f2378]) ).
fof(f3455,plain,
( icext(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl251_18 ),
inference(resolution,[],[f3430,f2317]) ).
fof(f3457,plain,
( icext(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl251_18 ),
inference(forward_subsumption_resolution,[],[f3455,f1712]) ).
fof(f3459,plain,
( icext(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ ip(uri_rdfs_subClassOf)
| ~ spl251_18 ),
inference(forward_subsumption_resolution,[],[f3457,f2748]) ).
fof(f3461,definition,
( spl251_29
<=> ip(uri_rdfs_subClassOf) ),
introduced(definition,[new_symbols(definition,[spl251_29])],[avatar_definition]) ).
fof(f3463,plain,
( ~ ip(uri_rdfs_subClassOf)
| spl251_29 ),
inference(avatar_component_clause,[],[f3461]) ).
fof(f3465,definition,
( spl251_30
<=> icext(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
introduced(definition,[new_symbols(definition,[spl251_30])],[avatar_definition]) ).
fof(f3467,plain,
( icext(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK167(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ spl251_30 ),
inference(avatar_component_clause,[],[f3465]) ).
fof(f3468,plain,
( ~ spl251_29
| spl251_30
| ~ spl251_18 ),
inference(avatar_split_clause,[],[f3459,f3221,f3465,f3461]) ).
fof(f3469,plain,
( ! [X0,X1] : ~ iext(uri_rdfs_subClassOf,X0,X1)
| spl251_29 ),
inference(resolution,[],[f3463,f1459]) ).
fof(f3491,plain,
( $false
| spl251_29 ),
inference(resolution,[],[f3469,f1494]) ).
fof(f3507,plain,
spl251_29,
inference(avatar_contradiction_clause,[],[f3491]) ).
fof(f3510,plain,
( ~ ic(sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl251_30 ),
inference(resolution,[],[f3467,f2313]) ).
fof(f3514,plain,
( ~ ic(sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl251_20
| ~ spl251_30 ),
inference(forward_subsumption_resolution,[],[f3510,f3230]) ).
fof(f3515,plain,
( iext(uri_rdfs_subClassOf,sK168(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK169(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl251_19
| ~ spl251_20
| ~ spl251_30 ),
inference(forward_subsumption_resolution,[],[f3514,f3226]) ).
fof(f3516,plain,
( $false
| ~ spl251_19
| ~ spl251_20
| ~ spl251_30 ),
inference(forward_subsumption_resolution,[],[f3515,f3352]) ).
fof(f3517,plain,
( ~ spl251_19
| ~ spl251_20
| ~ spl251_30 ),
inference(avatar_contradiction_clause,[],[f3516]) ).
cnf(s18,plain,
spl251_20,
inference(sat_conversion,[],[f3340]) ).
cnf(s24,plain,
spl251_19,
inference(sat_conversion,[],[f3417]) ).
cnf(s26,plain,
( spl251_18
| ~ spl251_19
| ~ spl251_20 ),
inference(sat_conversion,[],[f3428]) ).
cnf(s27,plain,
( ~ spl251_18
| ~ spl251_29
| spl251_30 ),
inference(sat_conversion,[],[f3468]) ).
cnf(s33,plain,
spl251_29,
inference(sat_conversion,[],[f3507]) ).
cnf(s34,plain,
( ~ spl251_19
| ~ spl251_20
| ~ spl251_30 ),
inference(sat_conversion,[],[f3517]) ).
cnf(s35,plain,
( ~ spl251_18
| spl251_30 ),
inference(rat,[],[s27,s33]) ).
cnf(s37,plain,
~ spl251_30,
inference(rat,[],[s34,s24,s18]) ).
cnf(s38,plain,
spl251_18,
inference(rat,[],[s26,s24,s18]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s35,s37,s38]) ).
fof(f3518,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB016+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 07:06:18 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 3.17/1.36 % (174783)Detected formulas, will run a generic FOF schedule.
% 3.17/1.36 % (174792)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2352047187:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.17/1.36 % (174792)Instruction limit reached!
% 3.17/1.36 % (174792)------------------------------
% 3.17/1.36 % (174792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.36 % (174792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.36 % (174792)CaDiCaL version: 2.1.3
% 3.17/1.36 % (174792)Termination reason: Instruction limit
% 3.17/1.36 % (174792)Termination phase: Saturation
% 3.17/1.36 % (174792)Time elapsed: 0.038 s
% 3.17/1.36 % (174792)Peak memory usage: 88 MB
% 3.17/1.36 % (174792)Instructions burned: 121 (million)
% 3.17/1.36 % (174788)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=1251223636:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.17/1.36 % (174790)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=2514496508:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.17/1.36 % (174789)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=2469021921:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.17/1.36 % (174791)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2581464423:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.17/1.36 % (174791)Refutation not found, incomplete strategy
% 3.17/1.36 % (174791)------------------------------
% 3.17/1.36 % (174791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.36 % (174791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.36 % (174791)CaDiCaL version: 2.1.3
% 3.17/1.36 % (174791)Termination reason: Refutation not found, incomplete strategy
% 3.17/1.36 % (174791)Time elapsed: 0.004 s
% 3.17/1.36 % (174791)Peak memory usage: 88 MB
% 3.17/1.36 % (174791)Instructions burned: 4 (million)
% 3.17/1.36 % (174794)dis-21_1_sil=8000:lcm=predicate:random_seed=3757258920: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)
% 3.17/1.36 % (174793)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3351217831:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.17/1.36 % (174793)First to succeed.
% 3.17/1.36 % (174793)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-174783"
% 3.17/1.36 % (174794)Instruction limit reached!
% 3.17/1.36 % (174794)------------------------------
% 3.17/1.36 % (174794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.36 % (174794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.36 % (174794)CaDiCaL version: 2.1.3
% 3.17/1.36 % (174794)Termination reason: Instruction limit
% 3.17/1.36 % (174794)Termination phase: Saturation
% 3.17/1.36 % (174794)Time elapsed: 0.068 s
% 3.17/1.36 % (174794)Peak memory usage: 90 MB
% 3.17/1.36 % (174794)Instructions burned: 130 (million)
% 3.17/1.36 % (174796)lrs+10_1_sil=8000:sp=occurrence:random_seed=3976727150:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.17/1.36 % (174796)Also succeeded, but the first one will report.
% 3.17/1.36 % (174803)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3616613685:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.17/1.36 % (174803)Refutation not found, incomplete strategy
% 3.17/1.36 % (174803)------------------------------
% 3.17/1.36 % (174803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.17/1.36 % (174803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/1.36 % (174803)CaDiCaL version: 2.1.3
% 3.17/1.36 % (174803)Termination reason: Refutation not found, incomplete strategy
% 3.17/1.36 % (174803)Time elapsed: 0.005 s
% 3.17/1.36 % (174803)Peak memory usage: 89 MB
% 3.17/1.36 % (174803)Instructions burned: 7 (million)
% 3.17/1.36 % (174791)------------------------------
% 3.17/1.36 % (174791)------------------------------
% 3.17/1.36 % (174793)Refutation found. Thanks to Tanya!
% 3.17/1.36 % SZS status Theorem for theBenchmark
% 3.17/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.95/1.55 % (174793)------------------------------
% 3.95/1.55 % (174793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.55 % (174793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.55 % (174793)CaDiCaL version: 2.1.3
% 3.95/1.55 % (174793)Termination reason: Refutation
% 3.95/1.55 % (174793)Time elapsed: 0.051 s
% 3.95/1.55 % (174793)Peak memory usage: 91 MB
% 3.95/1.55 % (174793)Instructions burned: 87 (million)
% 3.95/1.55 % (174793)------------------------------
% 3.95/1.55 % (174793)------------------------------
% 3.95/1.55 % (174783)Success in time 0.484 s
% 3.95/1.55 % Vampire exiting
%------------------------------------------------------------------------------