%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB108+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 01:00:27 PM UTC 2026
% Result : Theorem 3.85s 1.59s
% Output : Refutation 5.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 79 ( 17 unt; 0 def)
% Number of atoms : 328 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 426 ( 177 ~; 185 |; 51 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-3 aty)
% Number of variables : 167 ( 154 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [X0] :
( icext(uri_owl_Restriction,X0)
=> ic(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
fof(f235,axiom,
! [X0,X1] :
( iext(uri_owl_onClass,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onclass_ext) ).
fof(f258,axiom,
! [X0,X1] :
( iext(uri_owl_someValuesFrom,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_ext) ).
fof(f337,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_onClass,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).
fof(f340,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_someValuesFrom,X0,X2)
& iext(uri_owl_onProperty,X0,X1) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
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_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_term_someqcr) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
& iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_term_someqcr) ).
fof(f562,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
inference(flattening,[],[f560]) ).
fof(f576,plain,
! [X0,X1] :
( ( icext(uri_owl_Restriction,X0)
& ic(X1) )
| ~ iext(uri_owl_onClass,X0,X1) ),
inference(ennf_transformation,[],[f235]) ).
fof(f577,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f340]) ).
fof(f578,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f577]) ).
fof(f579,plain,
! [X0,X1] :
( ( icext(uri_owl_Restriction,X0)
& ic(X1) )
| ~ iext(uri_owl_someValuesFrom,X0,X1) ),
inference(ennf_transformation,[],[f258]) ).
fof(f581,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f337]) ).
fof(f582,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f581]) ).
fof(f594,plain,
! [X0] :
( ic(X0)
| ~ icext(uri_owl_Restriction,X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f604,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(f605,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,[],[f604]) ).
fof(f606,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,[],[f605]) ).
fof(f607,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK3(X0,X1))
| ~ icext(X0,sK3(X0,X1)) )
& ( icext(X1,sK3(X0,X1))
| icext(X0,sK3(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,[sK3]),skolemize(X2,sK3(X0,X1))],[f606]) ).
fof(f608,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f578]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X5] :
( iext(X1,X3,X5)
& icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(rectify,[],[f608]) ).
fof(f610,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK4(X1,X2,X3))
& icext(X2,sK4(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X5,sK4(X1,X2,X3))],[f609]) ).
fof(f611,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f582]) ).
fof(f612,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X5] :
( iext(X1,X3,X5)
& icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f611]) ).
fof(f613,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK5(X1,X2,X3))
& icext(X2,sK5(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X5,sK5(X1,X2,X3))],[f612]) ).
fof(f633,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
inference(cnf_transformation,[],[f562]) ).
fof(f638,plain,
! [X0,X1] :
( icext(X1,sK3(X0,X1))
| icext(X0,sK3(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f607]) ).
fof(f639,plain,
! [X0,X1] :
( ~ icext(X1,sK3(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,sK3(X0,X1)) ),
inference(cnf_transformation,[],[f607]) ).
fof(f642,plain,
iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f643,plain,
iext(uri_owl_someValuesFrom,uri_ex_z1,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f644,plain,
iext(uri_owl_onClass,uri_ex_z2,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f645,plain,
iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f646,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f561]) ).
fof(f648,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,X0,X1)
| icext(uri_owl_Restriction,X0) ),
inference(cnf_transformation,[],[f576]) ).
fof(f649,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| icext(X2,sK4(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f610]) ).
fof(f650,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| iext(X1,X3,sK4(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f610]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f610]) ).
fof(f653,plain,
! [X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X1)
| icext(uri_owl_Restriction,X0) ),
inference(cnf_transformation,[],[f579]) ).
fof(f656,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| icext(X2,sK5(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f613]) ).
fof(f657,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| iext(X1,X3,sK5(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f613]) ).
fof(f658,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f613]) ).
fof(f705,plain,
! [X0] :
( ~ icext(uri_owl_Restriction,X0)
| ic(X0) ),
inference(cnf_transformation,[],[f594]) ).
fof(f714,plain,
icext(uri_owl_Restriction,uri_ex_z2),
inference(resolution,[],[f648,f644]) ).
fof(f715,plain,
icext(uri_owl_Restriction,uri_ex_z1),
inference(resolution,[],[f653,f643]) ).
fof(f716,plain,
ic(uri_ex_z2),
inference(resolution,[],[f714,f705]) ).
fof(f729,plain,
ic(uri_ex_z1),
inference(resolution,[],[f715,f705]) ).
fof(f794,plain,
! [X0,X1] :
( icext(uri_ex_c,sK4(X1,uri_ex_c,X0))
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,X1) ),
inference(resolution,[],[f649,f643]) ).
fof(f839,plain,
! [X0,X1] :
( iext(X1,X0,sK4(X1,uri_ex_c,X0))
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,X1) ),
inference(resolution,[],[f650,f643]) ).
fof(f841,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| ~ icext(uri_ex_c,X2)
| icext(uri_ex_z1,X1)
| ~ iext(X0,X1,X2) ),
inference(resolution,[],[f651,f643]) ).
fof(f945,plain,
! [X2,X0,X1] :
( icext(X1,sK5(X2,X1,X0))
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,X2)
| ~ iext(uri_owl_onClass,uri_ex_z2,X1) ),
inference(resolution,[],[f656,f646]) ).
fof(f1041,plain,
! [X2,X0,X1] :
( iext(X1,X0,sK5(X1,X2,X0))
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,X1)
| ~ iext(uri_owl_onClass,uri_ex_z2,X2) ),
inference(resolution,[],[f657,f646]) ).
fof(f1042,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z2,X0)
| ~ icext(X3,X2)
| icext(uri_ex_z2,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onClass,uri_ex_z2,X3) ),
inference(resolution,[],[f658,f646]) ).
fof(f1043,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X1,X0)
| icext(uri_ex_z1,X1)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[],[f841,f642]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z2,X1)
| icext(uri_ex_z1,X0)
| ~ icext(uri_ex_c,sK5(uri_ex_p,X1,X0)) ),
inference(resolution,[],[f1041,f1043]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ icext(uri_ex_c,sK5(uri_ex_p,X1,X0))
| ~ iext(uri_owl_onClass,uri_ex_z2,X1)
| icext(uri_ex_z1,X0)
| ~ icext(uri_ex_z2,X0) ),
inference(forward_subsumption_resolution,[],[f1180,f645]) ).
fof(f1265,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X2,X1)
| icext(uri_ex_z2,X2)
| ~ icext(X0,X1)
| ~ iext(uri_owl_onClass,uri_ex_z2,X0) ),
inference(resolution,[],[f1042,f645]) ).
fof(f1329,plain,
! [X0,X1] :
( icext(uri_ex_z2,X0)
| ~ icext(X1,sK4(uri_ex_p,uri_ex_c,X0))
| ~ iext(uri_owl_onClass,uri_ex_z2,X1)
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
inference(resolution,[],[f1265,f839]) ).
fof(f1332,plain,
! [X0,X1] :
( ~ icext(X1,sK4(uri_ex_p,uri_ex_c,X0))
| icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onClass,uri_ex_z2,X1)
| ~ icext(uri_ex_z1,X0) ),
inference(forward_subsumption_resolution,[],[f1329,f642]) ).
fof(f1343,plain,
! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
| icext(uri_ex_z1,X0)
| ~ icext(uri_ex_z2,X0)
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z2,uri_ex_c) ),
inference(resolution,[],[f1181,f945]) ).
fof(f1344,plain,
! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
| icext(uri_ex_z1,X0)
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p) ),
inference(duplicate_literal_removal,[],[f1343]) ).
fof(f1345,plain,
! [X0] :
( icext(uri_ex_z1,X0)
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p) ),
inference(forward_subsumption_resolution,[],[f1344,f644]) ).
fof(f1346,plain,
! [X0] :
( ~ icext(uri_ex_z2,X0)
| icext(uri_ex_z1,X0) ),
inference(forward_subsumption_resolution,[],[f1345,f645]) ).
fof(f1354,plain,
! [X0] :
( icext(uri_ex_z1,sK3(X0,uri_ex_z2))
| icext(X0,sK3(X0,uri_ex_z2))
| ~ ic(uri_ex_z2)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_ex_z2) ),
inference(resolution,[],[f1346,f638]) ).
fof(f1368,plain,
! [X0] :
( icext(uri_ex_z1,sK3(X0,uri_ex_z2))
| icext(X0,sK3(X0,uri_ex_z2))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_ex_z2) ),
inference(forward_subsumption_resolution,[],[f1354,f716]) ).
fof(f1840,plain,
! [X0] :
( icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
| ~ icext(uri_ex_z1,X0)
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
inference(resolution,[],[f1332,f794]) ).
fof(f1843,plain,
! [X0] :
( icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
inference(duplicate_literal_removal,[],[f1840]) ).
fof(f1844,plain,
! [X0] :
( icext(uri_ex_z2,X0)
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
inference(forward_subsumption_resolution,[],[f1843,f644]) ).
fof(f1845,plain,
! [X0] :
( ~ icext(uri_ex_z1,X0)
| icext(uri_ex_z2,X0) ),
inference(forward_subsumption_resolution,[],[f1844,f642]) ).
fof(f2389,plain,
( icext(uri_ex_z1,sK3(uri_ex_z1,uri_ex_z2))
| ~ ic(uri_ex_z1)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2) ),
inference(factoring,[],[f1368]) ).
fof(f2392,plain,
( icext(uri_ex_z1,sK3(uri_ex_z1,uri_ex_z2))
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2) ),
inference(forward_subsumption_resolution,[],[f2389,f729]) ).
fof(f2396,plain,
icext(uri_ex_z1,sK3(uri_ex_z1,uri_ex_z2)),
inference(forward_subsumption_resolution,[],[f2392,f633]) ).
fof(f2397,plain,
icext(uri_ex_z2,sK3(uri_ex_z1,uri_ex_z2)),
inference(resolution,[],[f2396,f1845]) ).
fof(f2399,plain,
( ~ ic(uri_ex_z1)
| ~ ic(uri_ex_z2)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
| ~ icext(uri_ex_z1,sK3(uri_ex_z1,uri_ex_z2)) ),
inference(resolution,[],[f2397,f639]) ).
fof(f2402,plain,
( ~ ic(uri_ex_z2)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
| ~ icext(uri_ex_z1,sK3(uri_ex_z1,uri_ex_z2)) ),
inference(forward_subsumption_resolution,[],[f2399,f729]) ).
fof(f2403,plain,
( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
| ~ icext(uri_ex_z1,sK3(uri_ex_z1,uri_ex_z2)) ),
inference(forward_subsumption_resolution,[],[f2402,f716]) ).
fof(f2404,plain,
~ icext(uri_ex_z1,sK3(uri_ex_z1,uri_ex_z2)),
inference(forward_subsumption_resolution,[],[f2403,f633]) ).
fof(f2405,plain,
$false,
inference(forward_subsumption_resolution,[],[f2404,f2396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB108+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:24:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.85/1.59 % (182609)Detected formulas, will run a generic FOF schedule.
% 3.85/1.59 % (182617)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=60949333:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.85/1.59 % (182617)Refutation not found, incomplete strategy
% 3.85/1.59 % (182617)------------------------------
% 3.85/1.59 % (182617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (182617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (182617)CaDiCaL version: 2.1.3
% 3.85/1.59 % (182617)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.59 % (182617)Time elapsed: 0.001 s
% 3.85/1.59 % (182617)Peak memory usage: 88 MB
% 3.85/1.59 % (182617)Instructions burned: 2 (million)
% 3.85/1.59 % (182619)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2106395902:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.85/1.59 % (182618)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=392527868:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.85/1.59 % (182615)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=1940957082:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.85/1.59 % (182614)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=3778709078:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.85/1.59 % (182616)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=4234502343:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.85/1.59 % (182620)dis-21_1_sil=8000:lcm=predicate:random_seed=235460172: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)
% 3.85/1.59 % (182618)Refutation not found, incomplete strategy
% 3.85/1.59 % (182618)------------------------------
% 3.85/1.59 % (182618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (182618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (182618)CaDiCaL version: 2.1.3
% 3.85/1.59 % (182618)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.59 % (182618)Time elapsed: 0.003 s
% 3.85/1.59 % (182618)Peak memory usage: 88 MB
% 3.85/1.59 % (182618)Instructions burned: 2 (million)
% 3.85/1.59 % (182620)Instruction limit reached!
% 3.85/1.59 % (182620)------------------------------
% 3.85/1.59 % (182620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (182620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (182620)CaDiCaL version: 2.1.3
% 3.85/1.59 % (182620)Termination reason: Instruction limit
% 3.85/1.59 % (182620)Termination phase: Saturation
% 3.85/1.59 % (182620)Time elapsed: 0.067 s
% 3.85/1.59 % (182620)Peak memory usage: 91 MB
% 3.85/1.59 % (182620)Instructions burned: 129 (million)
% 3.85/1.59 % (182619)Instruction limit reached!
% 3.85/1.59 % (182619)------------------------------
% 3.85/1.59 % (182619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (182619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (182619)CaDiCaL version: 2.1.3
% 3.85/1.59 % (182619)Termination reason: Instruction limit
% 3.85/1.59 % (182619)Termination phase: Saturation
% 3.85/1.59 % (182619)Time elapsed: 0.081 s
% 3.85/1.59 % (182619)Peak memory usage: 90 MB
% 3.85/1.59 % (182619)Instructions burned: 140 (million)
% 3.85/1.59 % (182617)------------------------------
% 3.85/1.59 % (182617)------------------------------
% 3.85/1.59 % (182628)lrs+10_1_sil=8000:sp=occurrence:random_seed=1742117471:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.85/1.59 % (182629)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2206276150:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.85/1.59 % (182629)Refutation not found, incomplete strategy
% 3.85/1.59 % (182629)------------------------------
% 3.85/1.59 % (182629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (182629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (182629)CaDiCaL version: 2.1.3
% 3.85/1.59 % (182629)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.59 % (182629)Time elapsed: 0.004 s
% 3.85/1.59 % (182629)Peak memory usage: 88 MB
% 3.85/1.59 % (182629)Instructions burned: 6 (million)
% 3.85/1.59 % (182630)lrs+1011_1_sil=32000:sp=occurrence:random_seed=869461545:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.85/1.59 % (182630)Refutation not found, incomplete strategy
% 3.85/1.59 % (182630)------------------------------
% 3.85/1.59 % (182630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (182630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (182630)CaDiCaL version: 2.1.3
% 3.85/1.59 % (182630)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.59 % (182630)Time elapsed: 0.001 s
% 3.85/1.59 % (182630)Peak memory usage: 89 MB
% 3.85/1.59 % (182630)Instructions burned: 2 (million)
% 3.85/1.59 % (182618)------------------------------
% 3.85/1.59 % (182618)------------------------------
% 3.85/1.59 % (182628)First to succeed.
% 3.85/1.59 % (182628)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-182609"
% 3.85/1.59 % (182630)------------------------------
% 3.85/1.59 % (182630)------------------------------
% 3.85/1.59 % (182634)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=1710052179:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.85/1.59 % (182629)------------------------------
% 3.85/1.59 % (182629)------------------------------
% 3.85/1.59 % (182635)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1912413612:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.85/1.59 % (182635)Refutation not found, incomplete strategy
% 3.85/1.59 % (182635)------------------------------
% 3.85/1.59 % (182635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.59 % (182635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.59 % (182635)CaDiCaL version: 2.1.3
% 3.85/1.59 % (182635)Termination reason: Refutation not found, incomplete strategy
% 3.85/1.59 % (182635)Time elapsed: 0.004 s
% 3.85/1.59 % (182635)Peak memory usage: 89 MB
% 3.85/1.59 % (182635)Instructions burned: 11 (million)
% 3.85/1.59 % (182628)Refutation found. Thanks to Tanya!
% 3.85/1.59 % SZS status Theorem for theBenchmark
% 3.85/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.65/1.79 % (182628)------------------------------
% 5.65/1.79 % (182628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.79 % (182628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.79 % (182628)CaDiCaL version: 2.1.3
% 5.65/1.79 % (182628)Termination reason: Refutation
% 5.65/1.79 % (182628)Time elapsed: 0.065 s
% 5.65/1.79 % (182628)Peak memory usage: 90 MB
% 5.65/1.79 % (182628)Instructions burned: 98 (million)
% 5.65/1.79 % (182628)------------------------------
% 5.65/1.79 % (182628)------------------------------
% 5.65/1.79 % (182609)Success in time 0.729 s
% 5.65/1.79 % Vampire exiting
%------------------------------------------------------------------------------