%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB105+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 : n020.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 01:00:26 PM UTC 2026
% Result : Theorem 2.37s 1.50s
% Output : Refutation 5.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 90 ( 17 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 438 ( 176 ~; 190 |; 55 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 185 ( 175 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [X0] :
( icext(uri_owl_Restriction,X0)
=> ic(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
fof(f167,axiom,
! [X0,X1] :
( iext(uri_owl_allValuesFrom,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_allvaluesfrom_ext) ).
fof(f188,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_complementof_ext) ).
fof(f278,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f301,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_allValuesFrom,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_allvaluesfrom) ).
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_nz2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_term_sameall) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_complementOf,uri_ex_nz2,uri_ex_z2)
& iext(uri_owl_complementOf,uri_ex_nc,uri_ex_c)
& iext(uri_owl_someValuesFrom,uri_ex_z2,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
& iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc)
& iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_term_sameall) ).
fof(f562,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2),
inference(flattening,[],[f560]) ).
fof(f571,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f301]) ).
fof(f572,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f571]) ).
fof(f573,plain,
! [X0,X1] :
( ( icext(uri_owl_Restriction,X0)
& ic(X1) )
| ~ iext(uri_owl_allValuesFrom,X0,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f574,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f278]) ).
fof(f575,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f188]) ).
fof(f576,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(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(flattening,[],[f576]) ).
fof(f580,plain,
! [X0] :
( ic(X0)
| ~ icext(uri_owl_Restriction,X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f581,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(f582,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,[],[f581]) ).
fof(f583,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,[],[f582]) ).
fof(f584,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK0(X0,X1))
| ~ icext(X0,sK0(X0,X1)) )
& ( icext(X1,sK0(X0,X1))
| icext(X0,sK0(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,[sK0]),skolemize(X2,sK0(X0,X1))],[f583]) ).
fof(f585,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4] :
( ~ icext(X2,X4)
& iext(X1,X3,X4) ) )
& ( ! [X4] :
( icext(X2,X4)
| ~ iext(X1,X3,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f572]) ).
fof(f586,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4] :
( ~ icext(X2,X4)
& iext(X1,X3,X4) ) )
& ( ! [X5] :
( icext(X2,X5)
| ~ iext(X1,X3,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(rectify,[],[f585]) ).
fof(f587,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ( ~ icext(X2,sK1(X1,X2,X3))
& iext(X1,X3,sK1(X1,X2,X3)) ) )
& ( ! [X5] :
( icext(X2,X5)
| ~ iext(X1,X3,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X4,sK1(X1,X2,X3))],[f586]) ).
fof(f588,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f574]) ).
fof(f589,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,[],[f577]) ).
fof(f590,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,[],[f589]) ).
fof(f591,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK2(X1,X2,X3))
& icext(X2,sK2(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,[sK2]),skolemize(X5,sK2(X1,X2,X3))],[f590]) ).
fof(f592,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2),
inference(cnf_transformation,[],[f562]) ).
fof(f597,plain,
! [X0,X1] :
( icext(X1,sK0(X0,X1))
| icext(X0,sK0(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f584]) ).
fof(f598,plain,
! [X0,X1] :
( ~ icext(X1,sK0(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f584]) ).
fof(f601,plain,
iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f602,plain,
iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc),
inference(cnf_transformation,[],[f561]) ).
fof(f603,plain,
iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f604,plain,
iext(uri_owl_someValuesFrom,uri_ex_z2,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f605,plain,
iext(uri_owl_complementOf,uri_ex_nc,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f606,plain,
iext(uri_owl_complementOf,uri_ex_nz2,uri_ex_z2),
inference(cnf_transformation,[],[f561]) ).
fof(f607,plain,
! [X2,X3,X0,X1,X5] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(X1,X3,X5)
| ~ icext(X0,X3)
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| icext(X2,X5) ),
inference(cnf_transformation,[],[f587]) ).
fof(f608,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| iext(X1,X3,sK1(X1,X2,X3))
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f587]) ).
fof(f609,plain,
! [X2,X3,X0,X1] :
( ~ icext(X2,sK1(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f587]) ).
fof(f611,plain,
! [X0,X1] :
( ~ iext(uri_owl_allValuesFrom,X0,X1)
| icext(uri_owl_Restriction,X0) ),
inference(cnf_transformation,[],[f573]) ).
fof(f612,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f588]) ).
fof(f613,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| icext(X1,X2)
| icext(X0,X2) ),
inference(cnf_transformation,[],[f588]) ).
fof(f617,plain,
! [X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f575]) ).
fof(f618,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| icext(X2,sK2(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f591]) ).
fof(f619,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| iext(X1,X3,sK2(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f591]) ).
fof(f620,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,[],[f591]) ).
fof(f625,plain,
! [X0] :
( ~ icext(uri_owl_Restriction,X0)
| ic(X0) ),
inference(cnf_transformation,[],[f580]) ).
fof(f629,plain,
ic(uri_ex_nz2),
inference(resolution,[],[f617,f606]) ).
fof(f632,plain,
icext(uri_owl_Restriction,uri_ex_z1),
inference(resolution,[],[f611,f602]) ).
fof(f633,plain,
ic(uri_ex_z1),
inference(resolution,[],[f632,f625]) ).
fof(f638,plain,
! [X0] :
( ~ icext(uri_ex_z2,X0)
| ~ icext(uri_ex_nz2,X0) ),
inference(resolution,[],[f612,f606]) ).
fof(f639,plain,
! [X0] :
( ~ icext(uri_ex_c,X0)
| ~ icext(uri_ex_nc,X0) ),
inference(resolution,[],[f612,f605]) ).
fof(f640,plain,
! [X0] :
( icext(uri_ex_z2,X0)
| icext(uri_ex_nz2,X0) ),
inference(resolution,[],[f613,f606]) ).
fof(f641,plain,
! [X0] :
( icext(uri_ex_c,X0)
| icext(uri_ex_nc,X0) ),
inference(resolution,[],[f613,f605]) ).
fof(f644,plain,
! [X0,X1] :
( icext(uri_ex_c,sK2(X1,uri_ex_c,X0))
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
inference(resolution,[],[f618,f604]) ).
fof(f703,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,X2)
| icext(X2,X1) ),
inference(resolution,[],[f607,f601]) ).
fof(f705,plain,
! [X0,X1] :
( iext(uri_ex_p,X0,sK1(uri_ex_p,X1,X0))
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,X1)
| icext(uri_ex_z1,X0) ),
inference(resolution,[],[f608,f601]) ).
fof(f707,plain,
! [X0,X1] :
( iext(X1,X0,sK2(X1,uri_ex_c,X0))
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,X1) ),
inference(resolution,[],[f619,f604]) ).
fof(f712,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z2,X0)
| ~ icext(uri_ex_c,X2)
| icext(uri_ex_z2,X1)
| ~ iext(X0,X1,X2) ),
inference(resolution,[],[f620,f604]) ).
fof(f713,plain,
! [X0,X1] :
( ~ icext(uri_ex_nc,sK2(X1,uri_ex_c,X0))
| ~ iext(uri_owl_onProperty,uri_ex_z2,X1)
| ~ icext(uri_ex_z2,X0) ),
inference(resolution,[],[f644,f639]) ).
fof(f737,plain,
! [X0,X1] :
( ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,X1)
| icext(X1,sK2(uri_ex_p,uri_ex_c,X0)) ),
inference(resolution,[],[f707,f703]) ).
fof(f739,plain,
! [X0,X1] :
( icext(X1,sK2(uri_ex_p,uri_ex_c,X0))
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,X1)
| ~ icext(uri_ex_z2,X0) ),
inference(forward_subsumption_resolution,[],[f737,f603]) ).
fof(f824,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X1,X0)
| icext(uri_ex_z2,X1)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[],[f712,f603]) ).
fof(f895,plain,
! [X0,X1] :
( ~ icext(uri_ex_c,sK1(uri_ex_p,X1,X0))
| icext(uri_ex_z2,X0)
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,X1)
| icext(uri_ex_z1,X0) ),
inference(resolution,[],[f824,f705]) ).
fof(f985,plain,
! [X0] :
( ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc)
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
| ~ icext(uri_ex_z2,X0) ),
inference(resolution,[],[f739,f713]) ).
fof(f989,plain,
! [X0] :
( ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc)
| ~ icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p) ),
inference(duplicate_literal_removal,[],[f985]) ).
fof(f1014,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,[],[f989,f602]) ).
fof(f1015,plain,
! [X0] :
( ~ icext(uri_ex_z2,X0)
| ~ icext(uri_ex_z1,X0) ),
inference(forward_subsumption_resolution,[],[f1014,f603]) ).
fof(f1062,plain,
! [X0] :
( ~ icext(uri_ex_z1,X0)
| icext(uri_ex_nz2,X0) ),
inference(resolution,[],[f1015,f640]) ).
fof(f1091,plain,
! [X0,X1] :
( icext(uri_ex_nc,sK1(uri_ex_p,X1,X0))
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,X1)
| icext(uri_ex_z1,X0)
| icext(uri_ex_z2,X0) ),
inference(resolution,[],[f895,f641]) ).
fof(f1178,plain,
! [X0] :
( icext(uri_ex_nz2,sK0(uri_ex_z1,X0))
| icext(X0,sK0(uri_ex_z1,X0))
| ~ ic(X0)
| ~ ic(uri_ex_z1)
| iext(uri_owl_equivalentClass,uri_ex_z1,X0) ),
inference(resolution,[],[f1062,f597]) ).
fof(f1198,plain,
! [X0] :
( icext(uri_ex_nz2,sK0(uri_ex_z1,X0))
| icext(X0,sK0(uri_ex_z1,X0))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,uri_ex_z1,X0) ),
inference(forward_subsumption_resolution,[],[f1178,f633]) ).
fof(f1247,plain,
! [X0,X1] :
( ~ iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc)
| icext(uri_ex_z1,X0)
| icext(uri_ex_z2,X0)
| icext(X1,X0)
| ~ iext(uri_owl_allValuesFrom,X1,uri_ex_nc)
| ~ iext(uri_owl_onProperty,X1,uri_ex_p) ),
inference(resolution,[],[f1091,f609]) ).
fof(f1248,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X1,uri_ex_p)
| icext(uri_ex_z2,X0)
| icext(X1,X0)
| ~ iext(uri_owl_allValuesFrom,X1,uri_ex_nc)
| icext(uri_ex_z1,X0) ),
inference(forward_subsumption_resolution,[],[f1247,f602]) ).
fof(f1334,plain,
( icext(uri_ex_nz2,sK0(uri_ex_z1,uri_ex_nz2))
| ~ ic(uri_ex_nz2)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2) ),
inference(factoring,[],[f1198]) ).
fof(f1336,plain,
( icext(uri_ex_nz2,sK0(uri_ex_z1,uri_ex_nz2))
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2) ),
inference(forward_subsumption_resolution,[],[f1334,f629]) ).
fof(f1337,plain,
icext(uri_ex_nz2,sK0(uri_ex_z1,uri_ex_nz2)),
inference(forward_subsumption_resolution,[],[f1336,f592]) ).
fof(f1338,plain,
( ~ ic(uri_ex_z1)
| ~ ic(uri_ex_nz2)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2)
| ~ icext(uri_ex_z1,sK0(uri_ex_z1,uri_ex_nz2)) ),
inference(resolution,[],[f1337,f598]) ).
fof(f1339,plain,
( ~ ic(uri_ex_nz2)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2)
| ~ icext(uri_ex_z1,sK0(uri_ex_z1,uri_ex_nz2)) ),
inference(forward_subsumption_resolution,[],[f1338,f633]) ).
fof(f1340,plain,
( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_nz2)
| ~ icext(uri_ex_z1,sK0(uri_ex_z1,uri_ex_nz2)) ),
inference(forward_subsumption_resolution,[],[f1339,f629]) ).
fof(f1341,plain,
~ icext(uri_ex_z1,sK0(uri_ex_z1,uri_ex_nz2)),
inference(forward_subsumption_resolution,[],[f1340,f592]) ).
fof(f1358,plain,
! [X0] :
( icext(uri_ex_z2,X0)
| icext(uri_ex_z1,X0)
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc)
| icext(uri_ex_z1,X0) ),
inference(resolution,[],[f1248,f601]) ).
fof(f1361,plain,
! [X0] :
( icext(uri_ex_z2,X0)
| icext(uri_ex_z1,X0)
| ~ iext(uri_owl_allValuesFrom,uri_ex_z1,uri_ex_nc) ),
inference(duplicate_literal_removal,[],[f1358]) ).
fof(f1362,plain,
! [X0] :
( icext(uri_ex_z2,X0)
| icext(uri_ex_z1,X0) ),
inference(forward_subsumption_resolution,[],[f1361,f602]) ).
fof(f1472,plain,
! [X0] :
( ~ icext(uri_ex_nz2,X0)
| icext(uri_ex_z1,X0) ),
inference(resolution,[],[f1362,f638]) ).
fof(f1657,plain,
icext(uri_ex_z1,sK0(uri_ex_z1,uri_ex_nz2)),
inference(resolution,[],[f1472,f1337]) ).
fof(f1677,plain,
$false,
inference(forward_subsumption_resolution,[],[f1657,f1341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB105+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:22:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.41 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
% 2.37/1.50 % (15609)Detected formulas, will run a generic FOF schedule.
% 2.37/1.50 % (15614)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=650733254:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.37/1.50 % (15618)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=497238870:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.37/1.50 % (15617)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3641682557:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.37/1.50 % (15615)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=2008763989:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.37/1.50 % (15616)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=585300190:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.37/1.50 % (15617)Refutation not found, incomplete strategy
% 2.37/1.50 % (15617)------------------------------
% 2.37/1.50 % (15617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.50 % (15617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.50 % (15617)CaDiCaL version: 2.1.3
% 2.37/1.50 % (15617)Termination reason: Refutation not found, incomplete strategy
% 2.37/1.50 % (15617)Time elapsed: 0.002 s
% 2.37/1.50 % (15617)Peak memory usage: 88 MB
% 2.37/1.50 % (15617)Instructions burned: 2 (million)
% 2.37/1.50 % (15618)Refutation not found, incomplete strategy
% 2.37/1.50 % (15618)------------------------------
% 2.37/1.50 % (15618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.50 % (15618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.50 % (15618)CaDiCaL version: 2.1.3
% 2.37/1.50 % (15618)Termination reason: Refutation not found, incomplete strategy
% 2.37/1.50 % (15618)Time elapsed: 0.002 s
% 2.37/1.50 % (15618)Peak memory usage: 88 MB
% 2.37/1.50 % (15618)Instructions burned: 2 (million)
% 2.37/1.50 % (15620)dis-21_1_sil=8000:lcm=predicate:random_seed=727702838: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)
% 2.37/1.50 % (15619)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3464944024:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.37/1.50 % (15620)Instruction limit reached!
% 2.37/1.50 % (15620)------------------------------
% 2.37/1.50 % (15620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.50 % (15620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.50 % (15620)CaDiCaL version: 2.1.3
% 2.37/1.50 % (15620)Termination reason: Instruction limit
% 2.37/1.50 % (15620)Termination phase: Saturation
% 2.37/1.50 % (15620)Time elapsed: 0.067 s
% 2.37/1.50 % (15620)Peak memory usage: 91 MB
% 2.37/1.50 % (15620)Instructions burned: 131 (million)
% 2.37/1.50 % (15619)Instruction limit reached!
% 2.37/1.50 % (15619)------------------------------
% 2.37/1.50 % (15619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.50 % (15619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.50 % (15619)CaDiCaL version: 2.1.3
% 2.37/1.50 % (15619)Termination reason: Instruction limit
% 2.37/1.50 % (15619)Termination phase: Saturation
% 2.37/1.50 % (15619)Time elapsed: 0.101 s
% 2.37/1.50 % (15619)Peak memory usage: 90 MB
% 2.37/1.50 % (15619)Instructions burned: 140 (million)
% 2.37/1.50 % (15628)lrs+10_1_sil=8000:sp=occurrence:random_seed=16683126:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.37/1.50 % (15628)First to succeed.
% 2.37/1.50 % (15628)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15609"
% 2.37/1.50 % (15629)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2548468086:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.37/1.50 % (15629)Refutation not found, incomplete strategy
% 2.37/1.50 % (15629)------------------------------
% 2.37/1.50 % (15629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.50 % (15629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.50 % (15629)CaDiCaL version: 2.1.3
% 2.37/1.50 % (15629)Termination reason: Refutation not found, incomplete strategy
% 2.37/1.50 % (15629)Time elapsed: 0.004 s
% 2.37/1.50 % (15629)Peak memory usage: 89 MB
% 2.37/1.50 % (15629)Instructions burned: 6 (million)
% 2.37/1.50 % (15618)------------------------------
% 2.37/1.50 % (15618)------------------------------
% 2.37/1.50 % (15617)------------------------------
% 2.37/1.50 % (15617)------------------------------
% 2.37/1.50 % (15633)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=1361280167:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 2.37/1.50 % (15632)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2749330536:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 2.37/1.50 % (15632)Refutation not found, incomplete strategy
% 2.37/1.50 % (15632)------------------------------
% 2.37/1.50 % (15632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.50 % (15632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.50 % (15632)CaDiCaL version: 2.1.3
% 2.37/1.50 % (15632)Termination reason: Refutation not found, incomplete strategy
% 2.37/1.50 % (15632)Time elapsed: 0.003 s
% 2.37/1.50 % (15632)Peak memory usage: 89 MB
% 2.37/1.50 % (15632)Instructions burned: 2 (million)
% 2.37/1.50 % (15633)Instruction limit reached!
% 2.37/1.50 % (15633)------------------------------
% 2.37/1.50 % (15633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/1.50 % (15633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/1.50 % (15633)CaDiCaL version: 2.1.3
% 2.37/1.50 % (15633)Termination reason: Instruction limit
% 2.37/1.50 % (15633)Termination phase: Saturation
% 2.37/1.50 % (15633)Time elapsed: 0.069 s
% 2.37/1.50 % (15633)Peak memory usage: 94 MB
% 2.37/1.50 % (15633)Instructions burned: 253 (million)
% 2.37/1.50 % (15629)------------------------------
% 2.37/1.50 % (15629)------------------------------
% 2.37/1.50 % (15628)Refutation found. Thanks to Tanya!
% 2.37/1.50 % SZS status Theorem for theBenchmark
% 2.37/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 5.07/1.69 % (15628)------------------------------
% 5.07/1.69 % (15628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.69 % (15628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.69 % (15628)CaDiCaL version: 2.1.3
% 5.07/1.69 % (15628)Termination reason: Refutation
% 5.07/1.69 % (15628)Time elapsed: 0.018 s
% 5.07/1.69 % (15628)Peak memory usage: 89 MB
% 5.07/1.69 % (15628)Instructions burned: 25 (million)
% 5.07/1.69 % (15628)------------------------------
% 5.07/1.69 % (15628)------------------------------
% 5.07/1.69 % (15609)Success in time 0.656 s
% 5.07/1.69 % Vampire exiting
%------------------------------------------------------------------------------