%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB104+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 : n012.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 4.45s 1.31s
% Output : Refutation 5.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 105 ( 25 unt; 4 def)
% Number of atoms : 533 ( 9 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 688 ( 260 ~; 276 |; 125 &)
% ( 20 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-4 aty)
% Number of functors : 26 ( 26 usr; 20 con; 0-3 aty)
% Number of variables : 246 ( 0 sgn 229 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,axiom,
! [X0] :
( ic(X0)
=> ! [X1] :
( icext(X0,X1)
=> ir(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_parts_ic_cond_inst) ).
fof(f163,axiom,
! [X0] :
( icext(uri_owl_Thing,X0)
<=> ir(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(f164,axiom,
ic(uri_owl_Thing),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_type) ).
fof(f270,axiom,
! [X0,X1] :
( iext(uri_owl_unionOf,X0,X1)
=> ( ic(X0)
& icext(uri_rdf_List,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
fof(f289,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
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/sandbox/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_001) ).
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(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_z3,uri_owl_Thing),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_term_minmaxthing) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_z3,uri_owl_Thing),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_owl_maxQualifiedCardinality,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_rdf_first,X0,uri_ex_z2)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_z3,X1)
& iext(uri_owl_minQualifiedCardinality,uri_ex_z1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z1,uri_ex_c)
& iext(uri_rdf_first,X1,uri_ex_z1)
& iext(uri_rdf_rest,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_term_minmaxthing) ).
fof(f572,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z3,uri_owl_Thing),
inference(flattening,[],[f560]) ).
fof(f590,plain,
! [X0] :
( ! [X1] :
( ir(X1)
| ~ icext(X0,X1) )
| ~ ic(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f667,plain,
! [X0,X1] :
( ( ic(X0)
& icext(uri_rdf_List,X1) )
| ~ iext(uri_owl_unionOf,X0,X1) ),
inference(ennf_transformation,[],[f270]) ).
fof(f687,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f289]) ).
fof(f688,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f687]) ).
fof(f757,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(f758,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,[],[f757]) ).
fof(f781,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(f782,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,[],[f781]) ).
fof(f987,definition,
! [X0,X2,X4] :
( sP4(X0,X2,X4)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f988,definition,
! [X4,X2,X0,X1] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> sP4(X0,X2,X4) )
| ~ sP5(X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f989,plain,
! [X0,X1,X2,X3,X4] :
( sP5(X4,X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(definition_folding,[],[f688,f988,f987]) ).
fof(f1087,plain,
! [X0] :
( ( icext(uri_owl_Thing,X0)
| ~ ir(X0) )
& ( ir(X0)
| ~ icext(uri_owl_Thing,X0) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f1123,plain,
! [X4,X2,X0,X1] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ sP4(X0,X2,X4) )
& ( sP4(X0,X2,X4)
| ~ iext(uri_owl_unionOf,X0,X1) ) )
| ~ sP5(X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f988]) ).
fof(f1124,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_unionOf,X2,X3)
| ~ sP4(X2,X1,X0) )
& ( sP4(X2,X1,X0)
| ~ iext(uri_owl_unionOf,X2,X3) ) )
| ~ sP5(X0,X1,X2,X3) ),
inference(rectify,[],[f1123]) ).
fof(f1125,plain,
! [X0,X2,X4] :
( ( sP4(X0,X2,X4)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ~ icext(X0,X5) )
& ( icext(X2,X5)
| icext(X4,X5)
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ( ~ icext(X2,X5)
& ~ icext(X4,X5) ) )
& ( icext(X2,X5)
| icext(X4,X5)
| ~ icext(X0,X5) ) ) )
| ~ sP4(X0,X2,X4) ) ),
inference(nnf_transformation,[],[f987]) ).
fof(f1126,plain,
! [X0,X2,X4] :
( ( sP4(X0,X2,X4)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ~ icext(X0,X5) )
& ( icext(X2,X5)
| icext(X4,X5)
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ( ~ icext(X2,X5)
& ~ icext(X4,X5) ) )
& ( icext(X2,X5)
| icext(X4,X5)
| ~ icext(X0,X5) ) ) )
| ~ sP4(X0,X2,X4) ) ),
inference(flattening,[],[f1125]) ).
fof(f1127,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ? [X3] :
( ( ( ~ icext(X1,X3)
& ~ icext(X2,X3) )
| ~ icext(X0,X3) )
& ( icext(X1,X3)
| icext(X2,X3)
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X4] :
( ( icext(X0,X4)
| ( ~ icext(X1,X4)
& ~ icext(X2,X4) ) )
& ( icext(X1,X4)
| icext(X2,X4)
| ~ icext(X0,X4) ) ) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f1126]) ).
fof(f1128,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ( ( ( ~ icext(X1,sK59(X0,X1,X2))
& ~ icext(X2,sK59(X0,X1,X2)) )
| ~ icext(X0,sK59(X0,X1,X2)) )
& ( icext(X1,sK59(X0,X1,X2))
| icext(X2,sK59(X0,X1,X2))
| icext(X0,sK59(X0,X1,X2)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X4] :
( ( icext(X0,X4)
| ( ~ icext(X1,X4)
& ~ icext(X2,X4) ) )
& ( icext(X1,X4)
| icext(X2,X4)
| ~ icext(X0,X4) ) ) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(X3,sK59(X0,X1,X2))],[f1127]) ).
fof(f1257,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,[],[f758]) ).
fof(f1258,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,[],[f1257]) ).
fof(f1259,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ( sK135(X1,X2,X3) != sK136(X1,X2,X3)
& iext(X1,X3,sK135(X1,X2,X3))
& icext(X2,sK135(X1,X2,X3))
& iext(X1,X3,sK136(X1,X2,X3))
& icext(X2,sK136(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,[sK135,sK136]),skolemize(X4,sK135(X1,X2,X3)),skolemize(X5,sK136(X1,X2,X3))],[f1258]) ).
fof(f1290,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,[],[f782]) ).
fof(f1291,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,[],[f1290]) ).
fof(f1292,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK156(X1,X2,X3))
& icext(X2,sK156(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,[sK156]),skolemize(X5,sK156(X1,X2,X3))],[f1291]) ).
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(nnf_transformation,[],[f351]) ).
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)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f1350]) ).
fof(f1352,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,[],[f1351]) ).
fof(f1353,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))],[f1352]) ).
fof(f1460,plain,
( iext(uri_owl_maxQualifiedCardinality,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_rdf_first,sK251,uri_ex_z2)
& iext(uri_rdf_rest,sK251,uri_rdf_nil)
& iext(uri_owl_unionOf,uri_ex_z3,sK252)
& iext(uri_owl_minQualifiedCardinality,uri_ex_z1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z1,uri_ex_c)
& iext(uri_rdf_first,sK252,uri_ex_z1)
& iext(uri_rdf_rest,sK252,sK251) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK251,sK252]),skolemize(X0,sK251),skolemize(X1,sK252)],[f561]) ).
fof(f1550,plain,
! [X0,X1] :
( ~ icext(X0,X1)
| ir(X1)
| ~ ic(X0) ),
inference(cnf_transformation,[],[f590]) ).
fof(f1658,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f1087]) ).
fof(f1659,plain,
ic(uri_owl_Thing),
inference(cnf_transformation,[],[f164]) ).
fof(f1816,plain,
! [X0,X1] :
( ~ iext(uri_owl_unionOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f667]) ).
fof(f1884,plain,
! [X2,X3,X0,X1] :
( ~ sP5(X0,X1,X2,X3)
| ~ iext(uri_owl_unionOf,X2,X3)
| sP4(X2,X1,X0) ),
inference(cnf_transformation,[],[f1124]) ).
fof(f1887,plain,
! [X2,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ icext(X2,X4)
| icext(X0,X4) ),
inference(cnf_transformation,[],[f1128]) ).
fof(f1888,plain,
! [X2,X0,X1,X4] :
( ~ sP4(X0,X1,X2)
| ~ icext(X1,X4)
| icext(X0,X4) ),
inference(cnf_transformation,[],[f1128]) ).
fof(f1895,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| sP5(X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f989]) ).
fof(f2197,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| icext(X2,sK135(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f1259]) ).
fof(f2198,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| iext(X1,X3,sK135(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f1259]) ).
fof(f2278,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,[],[f1292]) ).
fof(f2385,plain,
! [X0,X1] :
( ~ icext(X1,sK175(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,sK175(X0,X1)) ),
inference(cnf_transformation,[],[f1353]) ).
fof(f2750,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z3,uri_owl_Thing),
inference(cnf_transformation,[],[f572]) ).
fof(f2751,plain,
iext(uri_rdf_rest,sK252,sK251),
inference(cnf_transformation,[],[f1460]) ).
fof(f2752,plain,
iext(uri_rdf_first,sK252,uri_ex_z1),
inference(cnf_transformation,[],[f1460]) ).
fof(f2753,plain,
iext(uri_owl_onClass,uri_ex_z1,uri_ex_c),
inference(cnf_transformation,[],[f1460]) ).
fof(f2754,plain,
iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
inference(cnf_transformation,[],[f1460]) ).
fof(f2755,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f1460]) ).
fof(f2756,plain,
iext(uri_owl_unionOf,uri_ex_z3,sK252),
inference(cnf_transformation,[],[f1460]) ).
fof(f2757,plain,
iext(uri_rdf_rest,sK251,uri_rdf_nil),
inference(cnf_transformation,[],[f1460]) ).
fof(f2758,plain,
iext(uri_rdf_first,sK251,uri_ex_z2),
inference(cnf_transformation,[],[f1460]) ).
fof(f2759,plain,
iext(uri_owl_onClass,uri_ex_z2,uri_ex_c),
inference(cnf_transformation,[],[f1460]) ).
fof(f2760,plain,
iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
inference(cnf_transformation,[],[f1460]) ).
fof(f2761,plain,
iext(uri_owl_maxQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f1460]) ).
fof(f2784,plain,
! [X0] :
( ~ ir(sK175(X0,uri_owl_Thing))
| ~ ic(X0)
| ~ ic(uri_owl_Thing)
| iext(uri_owl_equivalentClass,X0,uri_owl_Thing)
| ~ icext(X0,sK175(X0,uri_owl_Thing)) ),
inference(resolution,[],[f1658,f2385]) ).
fof(f2785,plain,
! [X0] :
( ~ ic(X0)
| ~ ic(uri_owl_Thing)
| iext(uri_owl_equivalentClass,X0,uri_owl_Thing)
| ~ icext(X0,sK175(X0,uri_owl_Thing)) ),
inference(forward_subsumption_resolution,[],[f2784,f1550]) ).
fof(f2786,plain,
! [X0] :
( ~ icext(X0,sK175(X0,uri_owl_Thing))
| iext(uri_owl_equivalentClass,X0,uri_owl_Thing)
| ~ ic(X0) ),
inference(forward_subsumption_resolution,[],[f2785,f1659]) ).
fof(f2803,plain,
ic(uri_ex_z3),
inference(resolution,[],[f1816,f2756]) ).
fof(f2826,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| ~ icext(X3,X2)
| icext(uri_ex_z1,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onClass,uri_ex_z1,X3) ),
inference(resolution,[],[f2278,f2755]) ).
fof(f2834,plain,
! [X2,X3,X0,X1] :
( sP5(X2,X1,X3,X0)
| ~ iext(uri_rdf_rest,X0,sK251)
| ~ iext(uri_rdf_first,sK251,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[],[f1895,f2757]) ).
fof(f2835,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_unionOf,X3,X0)
| ~ iext(uri_rdf_first,sK251,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_rest,X0,sK251)
| sP4(X3,X2,X1) ),
inference(resolution,[],[f2834,f1884]) ).
fof(f2836,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK251,X0)
| ~ iext(uri_rdf_first,sK252,X1)
| ~ iext(uri_rdf_rest,sK252,sK251)
| sP4(uri_ex_z3,X1,X0) ),
inference(resolution,[],[f2835,f2756]) ).
fof(f2837,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK252,X1)
| ~ iext(uri_rdf_first,sK251,X0)
| sP4(uri_ex_z3,X1,X0) ),
inference(forward_subsumption_resolution,[],[f2836,f2751]) ).
fof(f2838,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK251,X0)
| sP4(uri_ex_z3,uri_ex_z1,X0) ),
inference(resolution,[],[f2837,f2752]) ).
fof(f2839,plain,
sP4(uri_ex_z3,uri_ex_z1,uri_ex_z2),
inference(resolution,[],[f2838,f2758]) ).
fof(f2914,plain,
! [X0] :
( ~ icext(uri_ex_z2,X0)
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f1887,f2839]) ).
fof(f2938,plain,
! [X0] :
( ~ icext(uri_ex_z1,X0)
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f1888,f2839]) ).
fof(f3112,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X2,X1)
| icext(uri_ex_z1,X2)
| ~ icext(X0,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) ),
inference(resolution,[],[f2754,f2826]) ).
fof(f3304,plain,
! [X2,X0,X1] :
( icext(X0,sK135(X1,X0,X2))
| icext(uri_ex_z2,X2)
| ~ iext(uri_owl_onProperty,uri_ex_z2,X1)
| ~ iext(uri_owl_onClass,uri_ex_z2,X0) ),
inference(resolution,[],[f2197,f2761]) ).
fof(f3502,plain,
! [X2,X0,X1] :
( iext(X0,X1,sK135(X0,X2,X1))
| icext(uri_ex_z2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_z2,X0)
| ~ iext(uri_owl_onClass,uri_ex_z2,X2) ),
inference(resolution,[],[f2198,f2761]) ).
fof(f3532,plain,
! [X2,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(X2,sK135(uri_ex_p,X1,X0))
| ~ iext(uri_owl_onClass,uri_ex_z1,X2) ),
inference(resolution,[],[f3502,f3112]) ).
fof(f3533,plain,
! [X2,X0,X1] :
( ~ icext(X2,sK135(uri_ex_p,X1,X0))
| ~ iext(uri_owl_onClass,uri_ex_z2,X1)
| icext(uri_ex_z1,X0)
| icext(uri_ex_z2,X0)
| ~ iext(uri_owl_onClass,uri_ex_z1,X2) ),
inference(forward_subsumption_resolution,[],[f3532,f2760]) ).
fof(f3676,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z2,X0)
| icext(uri_ex_z1,X1)
| icext(uri_ex_z2,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| icext(uri_ex_z2,X1)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z2,X0) ),
inference(resolution,[],[f3533,f3304]) ).
fof(f3678,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z2,X0)
| icext(uri_ex_z1,X1)
| icext(uri_ex_z2,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p) ),
inference(duplicate_literal_removal,[],[f3676]) ).
fof(f3680,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z2,X0)
| icext(uri_ex_z1,X1)
| icext(uri_ex_z2,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) ),
inference(forward_subsumption_resolution,[],[f3678,f2760]) ).
fof(f3686,definition,
( spl253_128
<=> ! [X1] :
( icext(uri_ex_z1,X1)
| icext(uri_ex_z2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl253_128])],[avatar_definition]) ).
fof(f3687,plain,
( ! [X1] :
( icext(uri_ex_z1,X1)
| icext(uri_ex_z2,X1) )
| ~ spl253_128 ),
inference(avatar_component_clause,[],[f3686]) ).
fof(f3690,definition,
( spl253_129
<=> ! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z2,X0)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl253_129])],[avatar_definition]) ).
fof(f3691,plain,
( ! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| ~ iext(uri_owl_onClass,uri_ex_z2,X0) )
| ~ spl253_129 ),
inference(avatar_component_clause,[],[f3690]) ).
fof(f3692,plain,
( spl253_128
| spl253_129 ),
inference(avatar_split_clause,[],[f3680,f3690,f3686]) ).
fof(f3693,plain,
( ! [X0] :
( icext(uri_ex_z2,X0)
| icext(uri_ex_z3,X0) )
| ~ spl253_128 ),
inference(resolution,[],[f3687,f2938]) ).
fof(f3705,plain,
( ! [X0] : icext(uri_ex_z3,X0)
| ~ spl253_128 ),
inference(forward_subsumption_resolution,[],[f3693,f2914]) ).
fof(f3715,plain,
( ~ iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
| ~ spl253_129 ),
inference(resolution,[],[f3691,f2753]) ).
fof(f3734,plain,
( $false
| ~ spl253_129 ),
inference(forward_subsumption_resolution,[],[f3715,f2759]) ).
fof(f3735,plain,
~ spl253_129,
inference(avatar_contradiction_clause,[],[f3734]) ).
fof(f3746,plain,
( iext(uri_owl_equivalentClass,uri_ex_z3,uri_owl_Thing)
| ~ ic(uri_ex_z3)
| ~ spl253_128 ),
inference(resolution,[],[f3705,f2786]) ).
fof(f3747,plain,
( ~ ic(uri_ex_z3)
| ~ spl253_128 ),
inference(forward_subsumption_resolution,[],[f3746,f2750]) ).
fof(f3749,plain,
( $false
| ~ spl253_128 ),
inference(forward_subsumption_resolution,[],[f3747,f2803]) ).
fof(f3750,plain,
~ spl253_128,
inference(avatar_contradiction_clause,[],[f3749]) ).
cnf(s75,plain,
( spl253_128
| spl253_129 ),
inference(sat_conversion,[],[f3692]) ).
cnf(s79,plain,
~ spl253_129,
inference(sat_conversion,[],[f3735]) ).
cnf(s80,plain,
~ spl253_128,
inference(sat_conversion,[],[f3750]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s75,s79,s80]) ).
fof(f3751,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB104+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 07:21:04 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.45/1.31 % (3211469)Detected formulas, will run a generic FOF schedule.
% 4.45/1.31 % (3211477)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3879357549:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.45/1.31 % (3211479)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3342930272:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.45/1.31 % (3211480)dis-21_1_sil=8000:lcm=predicate:random_seed=1956050309: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)
% 4.45/1.31 % (3211478)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1324043230:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.45/1.31 % (3211474)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=258037230:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.45/1.31 % (3211475)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=293357487:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.45/1.31 % (3211476)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=2440805249:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.45/1.31 % (3211477)Refutation not found, incomplete strategy
% 4.45/1.31 % (3211477)------------------------------
% 4.45/1.31 % (3211477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211477)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211477)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.31 % (3211477)Time elapsed: 0.001 s
% 4.45/1.31 % (3211477)Peak memory usage: 88 MB
% 4.45/1.31 % (3211477)Instructions burned: 2 (million)
% 4.45/1.31 % (3211478)Refutation not found, incomplete strategy
% 4.45/1.31 % (3211478)------------------------------
% 4.45/1.31 % (3211478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211478)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211478)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.31 % (3211478)Time elapsed: 0.001 s
% 4.45/1.31 % (3211478)Peak memory usage: 88 MB
% 4.45/1.31 % (3211478)Instructions burned: 2 (million)
% 4.45/1.31 % (3211480)Instruction limit reached!
% 4.45/1.31 % (3211480)------------------------------
% 4.45/1.31 % (3211480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211480)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211480)Termination reason: Instruction limit
% 4.45/1.31 % (3211480)Termination phase: Saturation
% 4.45/1.31 % (3211480)Time elapsed: 0.037 s
% 4.45/1.31 % (3211480)Peak memory usage: 91 MB
% 4.45/1.31 % (3211480)Instructions burned: 131 (million)
% 4.45/1.31 % (3211479)Instruction limit reached!
% 4.45/1.31 % (3211479)------------------------------
% 4.45/1.31 % (3211479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211479)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211479)Termination reason: Instruction limit
% 4.45/1.31 % (3211479)Termination phase: Saturation
% 4.45/1.31 % (3211479)Time elapsed: 0.042 s
% 4.45/1.31 % (3211479)Peak memory usage: 90 MB
% 4.45/1.31 % (3211479)Instructions burned: 142 (million)
% 4.45/1.31 % (3211488)lrs+10_1_sil=8000:sp=occurrence:random_seed=3006125080:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.45/1.31 % (3211489)lrs+10_1_sil=32000:urr=on:br=off:random_seed=741357767:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.45/1.31 % (3211489)Refutation not found, incomplete strategy
% 4.45/1.31 % (3211489)------------------------------
% 4.45/1.31 % (3211489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211489)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211489)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.31 % (3211489)Time elapsed: 0.002 s
% 4.45/1.31 % (3211489)Peak memory usage: 89 MB
% 4.45/1.31 % (3211489)Instructions burned: 6 (million)
% 4.45/1.31 % (3211478)------------------------------
% 4.45/1.31 % (3211478)------------------------------
% 4.45/1.31 % (3211477)------------------------------
% 4.45/1.31 % (3211477)------------------------------
% 4.45/1.31 % (3211488)Instruction limit reached!
% 4.45/1.31 % (3211488)------------------------------
% 4.45/1.31 % (3211488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211488)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211488)Termination reason: Instruction limit
% 4.45/1.31 % (3211488)Termination phase: Saturation
% 4.45/1.31 % (3211488)Time elapsed: 0.097 s
% 4.45/1.31 % (3211488)Peak memory usage: 92 MB
% 4.45/1.31 % (3211488)Instructions burned: 286 (million)
% 4.45/1.31 % (3211493)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=1464037125:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.45/1.31 % (3211492)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1849873921:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.45/1.31 % (3211492)Refutation not found, incomplete strategy
% 4.45/1.31 % (3211492)------------------------------
% 4.45/1.31 % (3211492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211492)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211492)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.31 % (3211492)Time elapsed: 0.002 s
% 4.45/1.31 % (3211492)Peak memory usage: 89 MB
% 4.45/1.31 % (3211492)Instructions burned: 3 (million)
% 4.45/1.31 % (3211489)------------------------------
% 4.45/1.31 % (3211489)------------------------------
% 4.45/1.31 % (3211494)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2274558041:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.45/1.31 % (3211493)Instruction limit reached!
% 4.45/1.31 % (3211493)------------------------------
% 4.45/1.31 % (3211493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211493)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211493)Termination reason: Instruction limit
% 4.45/1.31 % (3211493)Termination phase: Saturation
% 4.45/1.31 % (3211493)Time elapsed: 0.068 s
% 4.45/1.31 % (3211493)Peak memory usage: 90 MB
% 4.45/1.31 % (3211493)Instructions burned: 249 (million)
% 4.45/1.31 % (3211494)Refutation not found, incomplete strategy
% 4.45/1.31 % (3211494)------------------------------
% 4.45/1.31 % (3211494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211494)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211494)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.31 % (3211494)Time elapsed: 0.006 s
% 4.45/1.31 % (3211494)Peak memory usage: 89 MB
% 4.45/1.31 % (3211494)Instructions burned: 18 (million)
% 4.45/1.31 % (3211492)------------------------------
% 4.45/1.31 % (3211492)------------------------------
% 4.45/1.31 % (3211497)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=653024251:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.45/1.31 % (3211499)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1968290384:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.45/1.31 % (3211499)Instruction limit reached!
% 4.45/1.31 % (3211499)------------------------------
% 4.45/1.31 % (3211499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211499)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211499)Termination reason: Instruction limit
% 4.45/1.31 % (3211499)Termination phase: Saturation
% 4.45/1.31 % (3211499)Time elapsed: 0.039 s
% 4.45/1.31 % (3211499)Peak memory usage: 91 MB
% 4.45/1.31 % (3211499)Instructions burned: 114 (million)
% 4.45/1.31 % (3211494)------------------------------
% 4.45/1.31 % (3211494)------------------------------
% 4.45/1.31 % (3211474)First to succeed.
% 4.45/1.31 % (3211474)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3211469"
% 4.45/1.31 % (3211500)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3856889431:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.45/1.31 % (3211500)Instruction limit reached!
% 4.45/1.31 % (3211500)------------------------------
% 4.45/1.31 % (3211500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211500)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211500)Termination reason: Instruction limit
% 4.45/1.31 % (3211500)Termination phase: Saturation
% 4.45/1.31 % (3211500)Time elapsed: 0.035 s
% 4.45/1.31 % (3211500)Peak memory usage: 90 MB
% 4.45/1.31 % (3211500)Instructions burned: 128 (million)
% 4.45/1.31 % (3211503)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1026107425:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.45/1.31 % (3211504)lrs+10_1_sil=8000:sp=occurrence:random_seed=4082799822:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 4.45/1.31 % (3211503)Instruction limit reached!
% 4.45/1.31 % (3211503)------------------------------
% 4.45/1.31 % (3211503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211503)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211503)Termination reason: Instruction limit
% 4.45/1.31 % (3211503)Termination phase: Saturation
% 4.45/1.31 % (3211503)Time elapsed: 0.032 s
% 4.45/1.31 % (3211503)Peak memory usage: 89 MB
% 4.45/1.31 % (3211503)Instructions burned: 117 (million)
% 4.45/1.31 % (3211506)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1147969675:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 4.45/1.31 % (3211506)Refutation not found, incomplete strategy
% 4.45/1.31 % (3211506)------------------------------
% 4.45/1.31 % (3211506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (3211506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (3211506)CaDiCaL version: 2.1.3
% 4.45/1.31 % (3211506)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.31 % (3211506)Time elapsed: 0.003 s
% 4.45/1.31 % (3211506)Peak memory usage: 89 MB
% 4.45/1.31 % (3211506)Instructions burned: 7 (million)
% 4.45/1.31 % (3211474)Refutation found. Thanks to Tanya!
% 4.45/1.31 % SZS status Theorem for theBenchmark
% 4.45/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 5.74/1.40 % (3211474)------------------------------
% 5.74/1.40 % (3211474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.40 % (3211474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.40 % (3211474)CaDiCaL version: 2.1.3
% 5.74/1.40 % (3211474)Termination reason: Refutation
% 5.74/1.40 % (3211474)Time elapsed: 0.507 s
% 5.74/1.40 % (3211474)Peak memory usage: 146 MB
% 5.74/1.40 % (3211474)Instructions burned: 1396 (million)
% 5.74/1.40 % (3211474)------------------------------
% 5.74/1.40 % (3211474)------------------------------
% 5.74/1.40 % (3211469)Success in time 0.789 s
% 5.74/1.40 % Vampire exiting
%------------------------------------------------------------------------------