%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB088+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:00:24 PM UTC 2026
% Result : Theorem 4.30s 1.59s
% Output : Refutation 5.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 104 ( 23 unt; 5 def)
% Number of atoms : 543 ( 51 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 761 ( 322 ~; 341 |; 78 &)
% ( 13 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-3 aty)
% Number of variables : 219 ( 0 sgn 206 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [X0] :
( icext(uri_owl_Restriction,X0)
=> ic(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
fof(f243,axiom,
! [X0,X1] :
( iext(uri_owl_onProperty,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
fof(f325,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_maxQualifiedCardinality,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,X5] :
( ( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5) )
=> X5 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_001) ).
fof(f326,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_onClass,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ! [X4,X5,X6] :
( ( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& iext(X1,X3,X6)
& icext(X2,X6) )
=> ( X6 = X4
| X6 = X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_002) ).
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/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f559,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_maxqcr_cmp_card) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_x2,uri_ex_c)
& iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_x1,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_maxqcr_cmp_card) ).
fof(f562,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(flattening,[],[f560]) ).
fof(f569,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(f583,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4,X5] :
( X5 = X4
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f325]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4,X5] :
( X5 = X4
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f583]) ).
fof(f601,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4,X5,X6] :
( X6 = X4
| X6 = X5
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f326]) ).
fof(f602,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4,X5,X6] :
( X6 = X4
| X6 = X5
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f601]) ).
fof(f614,plain,
! [X0,X1] :
( ( icext(uri_owl_Restriction,X0)
& ip(X1) )
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f243]) ).
fof(f615,plain,
! [X0] :
( ic(X0)
| ~ icext(uri_owl_Restriction,X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f680,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,[],[f569]) ).
fof(f681,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,[],[f680]) ).
fof(f682,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,[],[f681]) ).
fof(f683,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK7(X0,X1))
& icext(X0,sK7(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,[sK7]),skolemize(X2,sK7(X0,X1))],[f682]) ).
fof(f693,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4,X5] :
( X4 != X5
& iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5) ) )
& ( ! [X4,X5] :
( X5 = X4
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f584]) ).
fof(f694,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4,X5] :
( X4 != X5
& iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5) ) )
& ( ! [X6,X7] :
( X6 = X7
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f693]) ).
fof(f695,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ( sK11(X1,X2,X3) != sK12(X1,X2,X3)
& iext(X1,X3,sK11(X1,X2,X3))
& icext(X2,sK11(X1,X2,X3))
& iext(X1,X3,sK12(X1,X2,X3))
& icext(X2,sK12(X1,X2,X3)) ) )
& ( ! [X6,X7] :
( X6 = X7
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,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,[sK11,sK12]),skolemize(X4,sK11(X1,X2,X3)),skolemize(X5,sK12(X1,X2,X3))],[f694]) ).
fof(f723,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4,X5,X6] :
( X4 != X6
& X5 != X6
& iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& iext(X1,X3,X6)
& icext(X2,X6) ) )
& ( ! [X4,X5,X6] :
( X6 = X4
| X6 = X5
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f602]) ).
fof(f724,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4,X5,X6] :
( X4 != X6
& X5 != X6
& iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& iext(X1,X3,X6)
& icext(X2,X6) ) )
& ( ! [X7,X8,X9] :
( X7 = X9
| X8 = X9
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7)
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8)
| ~ iext(X1,X3,X9)
| ~ icext(X2,X9) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f723]) ).
fof(f725,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ( sK32(X1,X2,X3) != sK34(X1,X2,X3)
& sK33(X1,X2,X3) != sK34(X1,X2,X3)
& iext(X1,X3,sK32(X1,X2,X3))
& icext(X2,sK32(X1,X2,X3))
& iext(X1,X3,sK33(X1,X2,X3))
& icext(X2,sK33(X1,X2,X3))
& iext(X1,X3,sK34(X1,X2,X3))
& icext(X2,sK34(X1,X2,X3)) ) )
& ( ! [X7,X8,X9] :
( X7 = X9
| X8 = X9
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7)
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8)
| ~ iext(X1,X3,X9)
| ~ icext(X2,X9) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32,sK33,sK34]),skolemize(X4,sK32(X1,X2,X3)),skolemize(X5,sK33(X1,X2,X3)),skolemize(X6,sK34(X1,X2,X3))],[f724]) ).
fof(f803,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
inference(cnf_transformation,[],[f562]) ).
fof(f804,plain,
iext(uri_owl_onClass,uri_ex_x1,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f805,plain,
iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f806,plain,
iext(uri_owl_maxQualifiedCardinality,uri_ex_x1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f561]) ).
fof(f807,plain,
iext(uri_owl_onClass,uri_ex_x2,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f808,plain,
iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f809,plain,
iext(uri_owl_maxQualifiedCardinality,uri_ex_x2,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f561]) ).
fof(f813,plain,
! [X0,X1] :
( ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1)
| icext(X0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f683]) ).
fof(f814,plain,
! [X0,X1] :
( ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X1,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f683]) ).
fof(f838,plain,
! [X2,X3,X0,X1,X6,X7] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7)
| ~ icext(X0,X3)
| X6 = X7
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f695]) ).
fof(f902,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| icext(X2,sK34(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f725]) ).
fof(f903,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| iext(X1,X3,sK34(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f725]) ).
fof(f906,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| icext(X2,sK32(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f725]) ).
fof(f907,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| iext(X1,X3,sK32(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f725]) ).
fof(f909,plain,
! [X2,X3,X0,X1] :
( sK32(X1,X2,X3) != sK34(X1,X2,X3)
| icext(X0,X3)
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f725]) ).
fof(f984,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| icext(uri_owl_Restriction,X0) ),
inference(cnf_transformation,[],[f614]) ).
fof(f986,plain,
! [X0] :
( ~ icext(uri_owl_Restriction,X0)
| ic(X0) ),
inference(cnf_transformation,[],[f615]) ).
fof(f1192,plain,
! [X2,X0,X1] :
( iext(X0,X1,sK32(X0,X2,X1))
| icext(uri_ex_x2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X0)
| ~ iext(uri_owl_onClass,uri_ex_x2,X2) ),
inference(resolution,[],[f907,f809]) ).
fof(f1193,plain,
! [X2,X0,X1] :
( iext(X0,X1,sK34(X0,X2,X1))
| icext(uri_ex_x2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X0)
| ~ iext(uri_owl_onClass,uri_ex_x2,X2) ),
inference(resolution,[],[f903,f809]) ).
fof(f1230,plain,
! [X2,X0,X1] :
( icext(X0,sK32(X1,X0,X2))
| icext(uri_ex_x2,X2)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x2,X0) ),
inference(resolution,[],[f906,f809]) ).
fof(f1231,plain,
! [X2,X0,X1] :
( icext(X0,sK34(X1,X0,X2))
| icext(uri_ex_x2,X2)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x2,X0) ),
inference(resolution,[],[f902,f809]) ).
fof(f1232,plain,
icext(uri_owl_Restriction,uri_ex_x1),
inference(resolution,[],[f984,f805]) ).
fof(f1233,plain,
icext(uri_owl_Restriction,uri_ex_x2),
inference(resolution,[],[f984,f808]) ).
fof(f1239,plain,
! [X2,X3,X0,X1,X4] :
( ~ icext(uri_ex_x1,X1)
| ~ icext(X3,X2)
| ~ iext(X0,X1,X4)
| ~ icext(X3,X4)
| ~ iext(X0,X1,X2)
| X2 = X4
| ~ iext(uri_owl_onProperty,uri_ex_x1,X0)
| ~ iext(uri_owl_onClass,uri_ex_x1,X3) ),
inference(resolution,[],[f838,f806]) ).
fof(f1438,plain,
ic(uri_ex_x1),
inference(resolution,[],[f986,f1232]) ).
fof(f1439,plain,
ic(uri_ex_x2),
inference(resolution,[],[f986,f1233]) ).
fof(f1498,plain,
! [X0] :
( ~ icext(uri_ex_x2,sK7(X0,uri_ex_x2))
| iext(uri_rdfs_subClassOf,X0,uri_ex_x2)
| ~ ic(X0) ),
inference(resolution,[],[f1439,f814]) ).
fof(f1500,plain,
! [X0] :
( ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,uri_ex_x2)
| icext(X0,sK7(X0,uri_ex_x2)) ),
inference(resolution,[],[f1439,f813]) ).
fof(f1519,plain,
( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
| icext(uri_ex_x1,sK7(uri_ex_x1,uri_ex_x2)) ),
inference(resolution,[],[f1500,f1438]) ).
fof(f1521,plain,
icext(uri_ex_x1,sK7(uri_ex_x1,uri_ex_x2)),
inference(forward_subsumption_resolution,[],[f1519,f803]) ).
fof(f1529,plain,
! [X2,X3,X0,X1] :
( ~ iext(X2,sK7(uri_ex_x1,uri_ex_x2),X1)
| ~ iext(X2,sK7(uri_ex_x1,uri_ex_x2),X3)
| ~ icext(X0,X3)
| ~ icext(X0,X1)
| X1 = X3
| ~ iext(uri_owl_onProperty,uri_ex_x1,X2)
| ~ iext(uri_owl_onClass,uri_ex_x1,X0) ),
inference(resolution,[],[f1521,f1239]) ).
fof(f1533,plain,
! [X2,X3,X0,X1] :
( ~ iext(X0,sK7(uri_ex_x1,uri_ex_x2),X1)
| ~ icext(X2,X1)
| ~ icext(X2,sK32(X0,X3,sK7(uri_ex_x1,uri_ex_x2)))
| sK32(X0,X3,sK7(uri_ex_x1,uri_ex_x2)) = X1
| ~ iext(uri_owl_onProperty,uri_ex_x1,X0)
| ~ iext(uri_owl_onClass,uri_ex_x1,X2)
| icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onProperty,uri_ex_x2,X0)
| ~ iext(uri_owl_onClass,uri_ex_x2,X3) ),
inference(resolution,[],[f1529,f1192]) ).
fof(f1539,definition,
( spl105_59
<=> icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2)) ),
introduced(definition,[new_symbols(definition,[spl105_59])],[avatar_definition]) ).
fof(f1540,plain,
( icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ spl105_59 ),
inference(avatar_component_clause,[],[f1539]) ).
fof(f1550,definition,
( spl105_62
<=> ! [X0,X3,X2,X1] :
( ~ iext(X0,sK7(uri_ex_x1,uri_ex_x2),X1)
| ~ iext(uri_owl_onClass,uri_ex_x2,X3)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X0)
| ~ iext(uri_owl_onClass,uri_ex_x1,X2)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X0)
| sK32(X0,X3,sK7(uri_ex_x1,uri_ex_x2)) = X1
| ~ icext(X2,sK32(X0,X3,sK7(uri_ex_x1,uri_ex_x2)))
| ~ icext(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl105_62])],[avatar_definition]) ).
fof(f1551,plain,
( ! [X2,X3,X0,X1] :
( ~ icext(X2,sK32(X0,X3,sK7(uri_ex_x1,uri_ex_x2)))
| ~ iext(uri_owl_onClass,uri_ex_x2,X3)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X0)
| ~ iext(uri_owl_onClass,uri_ex_x1,X2)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X0)
| sK32(X0,X3,sK7(uri_ex_x1,uri_ex_x2)) = X1
| ~ iext(X0,sK7(uri_ex_x1,uri_ex_x2),X1)
| ~ icext(X2,X1) )
| ~ spl105_62 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f1552,plain,
( spl105_59
| spl105_62 ),
inference(avatar_split_clause,[],[f1533,f1550,f1539]) ).
fof(f1555,plain,
( iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2)
| ~ ic(uri_ex_x1)
| ~ spl105_59 ),
inference(resolution,[],[f1540,f1498]) ).
fof(f1559,plain,
( ~ ic(uri_ex_x1)
| ~ spl105_59 ),
inference(forward_subsumption_resolution,[],[f1555,f803]) ).
fof(f1560,plain,
( $false
| ~ spl105_59 ),
inference(forward_subsumption_resolution,[],[f1559,f1438]) ).
fof(f1561,plain,
~ spl105_59,
inference(avatar_contradiction_clause,[],[f1560]) ).
fof(f1564,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = X2
| ~ iext(X1,sK7(uri_ex_x1,uri_ex_x2),X2)
| ~ icext(X0,X2)
| icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x2,X0) )
| ~ spl105_62 ),
inference(resolution,[],[f1551,f1230]) ).
fof(f1566,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = X2
| ~ iext(X1,sK7(uri_ex_x1,uri_ex_x2),X2)
| ~ icext(X0,X2)
| icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2)) )
| ~ spl105_62 ),
inference(duplicate_literal_removal,[],[f1564]) ).
fof(f1569,definition,
( spl105_63
<=> ! [X2,X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| ~ icext(X0,X2)
| ~ iext(X1,sK7(uri_ex_x1,uri_ex_x2),X2)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = X2
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl105_63])],[avatar_definition]) ).
fof(f1570,plain,
( ! [X2,X0,X1] :
( ~ iext(X1,sK7(uri_ex_x1,uri_ex_x2),X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = X2
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1) )
| ~ spl105_63 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f1571,plain,
( spl105_59
| spl105_63
| ~ spl105_62 ),
inference(avatar_split_clause,[],[f1566,f1550,f1569,f1539]) ).
fof(f1583,plain,
( ! [X2,X0,X1] :
( ~ icext(X0,sK34(X1,X2,sK7(uri_ex_x1,uri_ex_x2)))
| ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(X1,X2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x2,X2) )
| ~ spl105_63 ),
inference(resolution,[],[f1570,f1193]) ).
fof(f1584,plain,
( ! [X2,X0,X1] :
( ~ icext(X0,sK34(X1,X2,sK7(uri_ex_x1,uri_ex_x2)))
| ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(X1,X2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x2,X2) )
| ~ spl105_63 ),
inference(duplicate_literal_removal,[],[f1583]) ).
fof(f1590,definition,
( spl105_66
<=> ! [X2,X0,X1] :
( ~ icext(X0,sK34(X1,X2,sK7(uri_ex_x1,uri_ex_x2)))
| ~ iext(uri_owl_onClass,uri_ex_x2,X2)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(X1,X2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl105_66])],[avatar_definition]) ).
fof(f1591,plain,
( ! [X2,X0,X1] :
( ~ icext(X0,sK34(X1,X2,sK7(uri_ex_x1,uri_ex_x2)))
| ~ iext(uri_owl_onClass,uri_ex_x2,X2)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(X1,X2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x2,X0) )
| ~ spl105_66 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1592,plain,
( spl105_59
| spl105_66
| ~ spl105_63 ),
inference(avatar_split_clause,[],[f1584,f1569,f1590,f1539]) ).
fof(f1695,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(X1,X0,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x2,X0) )
| ~ spl105_66 ),
inference(resolution,[],[f1591,f1231]) ).
fof(f1697,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(X1,X0,sK7(uri_ex_x1,uri_ex_x2))
| icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2)) )
| ~ spl105_66 ),
inference(duplicate_literal_removal,[],[f1695]) ).
fof(f1699,definition,
( spl105_78
<=> ! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(X1,X0,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| ~ iext(uri_owl_onProperty,uri_ex_x2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl105_78])],[avatar_definition]) ).
fof(f1700,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_x2,X1)
| sK32(X1,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(X1,X0,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x1,X1)
| ~ iext(uri_owl_onClass,uri_ex_x2,X0) )
| ~ spl105_78 ),
inference(avatar_component_clause,[],[f1699]) ).
fof(f1701,plain,
( spl105_59
| spl105_78
| ~ spl105_66 ),
inference(avatar_split_clause,[],[f1697,f1590,f1699,f1539]) ).
fof(f1702,plain,
( ! [X0] :
( sK32(uri_ex_p,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(uri_ex_p,X0,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_x2,X0) )
| ~ spl105_78 ),
inference(resolution,[],[f1700,f808]) ).
fof(f1708,plain,
( ! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_x2,X0)
| ~ iext(uri_owl_onClass,uri_ex_x1,X0)
| sK32(uri_ex_p,X0,sK7(uri_ex_x1,uri_ex_x2)) = sK34(uri_ex_p,X0,sK7(uri_ex_x1,uri_ex_x2)) )
| ~ spl105_78 ),
inference(forward_subsumption_resolution,[],[f1702,f805]) ).
fof(f1709,plain,
( ~ iext(uri_owl_onClass,uri_ex_x1,uri_ex_c)
| sK32(uri_ex_p,uri_ex_c,sK7(uri_ex_x1,uri_ex_x2)) = sK34(uri_ex_p,uri_ex_c,sK7(uri_ex_x1,uri_ex_x2))
| ~ spl105_78 ),
inference(resolution,[],[f1708,f807]) ).
fof(f1715,plain,
( sK32(uri_ex_p,uri_ex_c,sK7(uri_ex_x1,uri_ex_x2)) = sK34(uri_ex_p,uri_ex_c,sK7(uri_ex_x1,uri_ex_x2))
| ~ spl105_78 ),
inference(forward_subsumption_resolution,[],[f1709,f804]) ).
fof(f1719,plain,
( ! [X0] :
( sK34(uri_ex_p,uri_ex_c,sK7(uri_ex_x1,uri_ex_x2)) != sK34(uri_ex_p,uri_ex_c,sK7(uri_ex_x1,uri_ex_x2))
| icext(X0,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_onClass,X0,uri_ex_c) )
| ~ spl105_78 ),
inference(superposition,[],[f909,f1715]) ).
fof(f1722,plain,
( ! [X0] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| icext(X0,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_onClass,X0,uri_ex_c) )
| ~ spl105_78 ),
inference(trivial_inequality_removal,[],[f1719]) ).
fof(f1723,plain,
( icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_x2,uri_ex_c)
| ~ spl105_78 ),
inference(resolution,[],[f1722,f809]) ).
fof(f1724,plain,
( icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ iext(uri_owl_onClass,uri_ex_x2,uri_ex_c)
| ~ spl105_78 ),
inference(forward_subsumption_resolution,[],[f1723,f808]) ).
fof(f1725,plain,
( icext(uri_ex_x2,sK7(uri_ex_x1,uri_ex_x2))
| ~ spl105_78 ),
inference(forward_subsumption_resolution,[],[f1724,f807]) ).
fof(f1726,plain,
( spl105_59
| ~ spl105_78 ),
inference(avatar_split_clause,[],[f1725,f1699,f1539]) ).
cnf(s43,plain,
( spl105_59
| spl105_62 ),
inference(sat_conversion,[],[f1552]) ).
cnf(s46,plain,
~ spl105_59,
inference(sat_conversion,[],[f1561]) ).
cnf(s47,plain,
( spl105_59
| ~ spl105_62
| spl105_63 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s49,plain,
( spl105_59
| ~ spl105_63
| spl105_66 ),
inference(sat_conversion,[],[f1592]) ).
cnf(s61,plain,
( spl105_59
| ~ spl105_66
| spl105_78 ),
inference(sat_conversion,[],[f1701]) ).
cnf(s62,plain,
( spl105_59
| ~ spl105_78 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s63,plain,
~ spl105_78,
inference(rat,[],[s62,s46]) ).
cnf(s64,plain,
~ spl105_66,
inference(rat,[],[s61,s63,s46]) ).
cnf(s65,plain,
~ spl105_63,
inference(rat,[],[s49,s64,s46]) ).
cnf(s66,plain,
~ spl105_62,
inference(rat,[],[s47,s65,s46]) ).
cnf(s67,plain,
$false,
inference(rat,[],[s43,s66,s46]) ).
fof(f1727,plain,
$false,
inference(avatar_sat_refutation,[],[s67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB088+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n007.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 07:15:56 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.30/1.59 % (2217300)Detected formulas, will run a generic FOF schedule.
% 4.30/1.59 % (2217306)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=2834136997:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.30/1.59 % (2217307)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=1512900028:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.30/1.59 % (2217305)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=3000368850:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.30/1.59 % (2217310)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2075231124:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.30/1.59 % (2217311)dis-21_1_sil=8000:lcm=predicate:random_seed=2561177411: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)
% 4.30/1.59 % (2217309)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3166829732:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.30/1.59 % (2217308)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1120454782:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.30/1.59 % (2217308)Refutation not found, incomplete strategy
% 4.30/1.59 % (2217308)------------------------------
% 4.30/1.59 % (2217308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.59 % (2217308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.59 % (2217308)CaDiCaL version: 2.1.3
% 4.30/1.59 % (2217308)Termination reason: Refutation not found, incomplete strategy
% 4.30/1.59 % (2217308)Time elapsed: 0.003 s
% 4.30/1.59 % (2217308)Peak memory usage: 88 MB
% 4.30/1.59 % (2217308)Instructions burned: 2 (million)
% 4.30/1.59 % (2217309)Instruction limit reached!
% 4.30/1.59 % (2217309)------------------------------
% 4.30/1.59 % (2217309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.59 % (2217309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.59 % (2217309)CaDiCaL version: 2.1.3
% 4.30/1.59 % (2217309)Termination reason: Instruction limit
% 4.30/1.59 % (2217309)Termination phase: Saturation
% 4.30/1.59 % (2217309)Time elapsed: 0.050 s
% 4.30/1.59 % (2217309)Peak memory usage: 88 MB
% 4.30/1.59 % (2217309)Instructions burned: 119 (million)
% 4.30/1.59 % (2217311)Instruction limit reached!
% 4.30/1.59 % (2217311)------------------------------
% 4.30/1.59 % (2217311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.59 % (2217311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.59 % (2217311)CaDiCaL version: 2.1.3
% 4.30/1.59 % (2217311)Termination reason: Instruction limit
% 4.30/1.59 % (2217311)Termination phase: Saturation
% 4.30/1.59 % (2217311)Time elapsed: 0.068 s
% 4.30/1.59 % (2217311)Peak memory usage: 91 MB
% 4.30/1.59 % (2217311)Instructions burned: 130 (million)
% 4.30/1.59 % (2217310)Instruction limit reached!
% 4.30/1.59 % (2217310)------------------------------
% 4.30/1.59 % (2217310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.59 % (2217310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.59 % (2217310)CaDiCaL version: 2.1.3
% 4.30/1.59 % (2217310)Termination reason: Instruction limit
% 4.30/1.59 % (2217310)Termination phase: Saturation
% 4.30/1.59 % (2217310)Time elapsed: 0.087 s
% 4.30/1.59 % (2217310)Peak memory usage: 91 MB
% 4.30/1.59 % (2217310)Instructions burned: 140 (million)
% 4.30/1.59 % (2217319)lrs+10_1_sil=8000:sp=occurrence:random_seed=2921987740:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.30/1.59 % (2217320)lrs+10_1_sil=32000:urr=on:br=off:random_seed=174953101:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.30/1.59 % (2217320)Refutation not found, incomplete strategy
% 4.30/1.59 % (2217320)------------------------------
% 4.30/1.59 % (2217320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.59 % (2217320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.59 % (2217320)CaDiCaL version: 2.1.3
% 4.30/1.59 % (2217320)Termination reason: Refutation not found, incomplete strategy
% 4.30/1.59 % (2217320)Time elapsed: 0.004 s
% 4.30/1.59 % (2217320)Peak memory usage: 88 MB
% 4.30/1.59 % (2217320)Instructions burned: 6 (million)
% 4.30/1.59 % (2217321)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2028252026:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.30/1.59 % (2217308)------------------------------
% 4.30/1.59 % (2217308)------------------------------
% 4.30/1.59 % (2217319)Instruction limit reached!
% 4.30/1.59 % (2217319)------------------------------
% 4.30/1.59 % (2217319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.59 % (2217319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.59 % (2217319)CaDiCaL version: 2.1.3
% 4.30/1.59 % (2217319)Termination reason: Instruction limit
% 4.30/1.59 % (2217319)Termination phase: Saturation
% 4.30/1.59 % (2217319)Time elapsed: 0.150 s
% 4.30/1.59 % (2217319)Peak memory usage: 92 MB
% 4.30/1.59 % (2217319)Instructions burned: 287 (million)
% 4.30/1.59 % (2217321)Instruction limit reached!
% 4.30/1.59 % (2217321)------------------------------
% 4.30/1.59 % (2217321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.59 % (2217321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.59 % (2217321)CaDiCaL version: 2.1.3
% 4.30/1.59 % (2217321)Termination reason: Instruction limit
% 4.30/1.59 % (2217321)Termination phase: Saturation
% 4.30/1.59 % (2217321)Time elapsed: 0.121 s
% 4.30/1.59 % (2217321)Peak memory usage: 88 MB
% 4.30/1.59 % (2217321)Instructions burned: 338 (million)
% 4.30/1.59 % (2217306)First to succeed.
% 4.30/1.59 % (2217306)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2217300"
% 4.30/1.59 % (2217325)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=2564794151:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.30/1.59 % (2217320)------------------------------
% 4.30/1.59 % (2217320)------------------------------
% 4.30/1.59 % (2217326)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4068583909:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.30/1.59 % (2217327)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4195594007:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.30/1.59 % (2217325)Instruction limit reached!
% 4.30/1.59 % (2217325)------------------------------
% 4.30/1.59 % (2217325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.30/1.59 % (2217325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.30/1.59 % (2217325)CaDiCaL version: 2.1.3
% 4.30/1.59 % (2217325)Termination reason: Instruction limit
% 4.30/1.59 % (2217325)Termination phase: Saturation
% 4.30/1.59 % (2217325)Time elapsed: 0.124 s
% 4.30/1.59 % (2217325)Peak memory usage: 90 MB
% 4.30/1.59 % (2217325)Instructions burned: 249 (million)
% 4.30/1.59 % (2217306)Refutation found. Thanks to Tanya!
% 4.30/1.59 % SZS status Theorem for theBenchmark
% 4.30/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.43/1.78 % (2217306)------------------------------
% 5.43/1.78 % (2217306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.78 % (2217306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.78 % (2217306)CaDiCaL version: 2.1.3
% 5.43/1.78 % (2217306)Termination reason: Refutation
% 5.43/1.78 % (2217306)Time elapsed: 0.417 s
% 5.43/1.78 % (2217306)Peak memory usage: 137 MB
% 5.43/1.78 % (2217306)Instructions burned: 1153 (million)
% 5.43/1.78 % (2217306)------------------------------
% 5.43/1.78 % (2217306)------------------------------
% 5.43/1.78 % (2217300)Success in time 0.696 s
% 5.43/1.78 % Vampire exiting
%------------------------------------------------------------------------------