%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB084+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 01:00:23 PM UTC 2026
% Result : Theorem 6.84s 2.04s
% Output : Refutation 8.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 6
% Syntax : Number of formulae : 62 ( 16 unt; 1 def)
% Number of atoms : 337 ( 47 equ)
% Maximal formula atoms : 31 ( 5 avg)
% Number of connectives : 449 ( 174 ~; 165 |; 99 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-3 aty)
% Number of variables : 157 ( 0 sgn 130 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f312,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_qualifiedCardinality,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] :
( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& X4 != X5 )
& ! [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_exactqcr_object_002) ).
fof(f345,axiom,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
<=> X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(f559,conjecture,
? [X0,X1] :
( iext(uri_rdf_type,X1,uri_ex_c)
& iext(uri_owl_differentFrom,X1,X0)
& iext(uri_rdf_type,X0,uri_ex_c)
& iext(uri_ex_p,uri_ex_w,X1)
& iext(uri_ex_p,uri_ex_w,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_exactqcr_inst_obj_two) ).
fof(f560,negated_conjecture,
~ ? [X0,X1] :
( iext(uri_rdf_type,X1,uri_ex_c)
& iext(uri_owl_differentFrom,X1,X0)
& iext(uri_rdf_type,X0,uri_ex_c)
& iext(uri_ex_p,uri_ex_w,X1)
& iext(uri_ex_p,uri_ex_w,X0) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_exactqcr_inst_obj_two) ).
fof(f562,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_qualifiedCardinality,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] :
( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& X4 != X5 )
& ! [X6,X7,X8] :
( ( iext(X1,X3,X6)
& icext(X2,X6)
& iext(X1,X3,X7)
& icext(X2,X7)
& iext(X1,X3,X8)
& icext(X2,X8) )
=> ( X6 = X8
| X7 = X8 ) ) ) ) ),
inference(rectify,[],[f312]) ).
fof(f568,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X1,uri_ex_c)
| ~ iext(uri_owl_differentFrom,X1,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_w,X1)
| ~ iext(uri_ex_p,uri_ex_w,X0) ),
inference(ennf_transformation,[],[f560]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ( ? [X4,X5] :
( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& X4 != X5 )
& ! [X6,X7,X8] :
( X6 = X8
| X7 = X8
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7)
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8) ) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f562]) ).
fof(f585,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ( ? [X4,X5] :
( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& X4 != X5 )
& ! [X6,X7,X8] :
( X6 = X8
| X7 = X8
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7)
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8) ) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f584]) ).
fof(f675,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f676,plain,
! [X0,X1] :
( ( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ) ),
inference(nnf_transformation,[],[f345]) ).
fof(f695,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4,X5] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| X4 = X5 )
| ? [X6,X7,X8] :
( X6 != X8
& X7 != X8
& iext(X1,X3,X6)
& icext(X2,X6)
& iext(X1,X3,X7)
& icext(X2,X7)
& iext(X1,X3,X8)
& icext(X2,X8) ) )
& ( ( ? [X4,X5] :
( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& X4 != X5 )
& ! [X6,X7,X8] :
( X6 = X8
| X7 = X8
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7)
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8) ) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f585]) ).
fof(f696,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4,X5] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| X4 = X5 )
| ? [X6,X7,X8] :
( X6 != X8
& X7 != X8
& iext(X1,X3,X6)
& icext(X2,X6)
& iext(X1,X3,X7)
& icext(X2,X7)
& iext(X1,X3,X8)
& icext(X2,X8) ) )
& ( ( ? [X4,X5] :
( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5)
& X4 != X5 )
& ! [X6,X7,X8] :
( X6 = X8
| X7 = X8
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7)
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8) ) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f695]) ).
fof(f697,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4,X5] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| X4 = X5 )
| ? [X6,X7,X8] :
( X6 != X8
& X7 != X8
& iext(X1,X3,X6)
& icext(X2,X6)
& iext(X1,X3,X7)
& icext(X2,X7)
& iext(X1,X3,X8)
& icext(X2,X8) ) )
& ( ( ? [X9,X10] :
( iext(X1,X3,X9)
& icext(X2,X9)
& iext(X1,X3,X10)
& icext(X2,X10)
& X9 != X10 )
& ! [X11,X12,X13] :
( X11 = X13
| X12 = X13
| ~ iext(X1,X3,X11)
| ~ icext(X2,X11)
| ~ iext(X1,X3,X12)
| ~ icext(X2,X12)
| ~ iext(X1,X3,X13)
| ~ icext(X2,X13) ) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f696]) ).
fof(f698,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4,X5] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| X4 = X5 )
| ( sK22(X1,X2,X3) != sK24(X1,X2,X3)
& sK23(X1,X2,X3) != sK24(X1,X2,X3)
& iext(X1,X3,sK22(X1,X2,X3))
& icext(X2,sK22(X1,X2,X3))
& iext(X1,X3,sK23(X1,X2,X3))
& icext(X2,sK23(X1,X2,X3))
& iext(X1,X3,sK24(X1,X2,X3))
& icext(X2,sK24(X1,X2,X3)) ) )
& ( ( iext(X1,X3,sK25(X1,X2,X3))
& icext(X2,sK25(X1,X2,X3))
& iext(X1,X3,sK26(X1,X2,X3))
& icext(X2,sK26(X1,X2,X3))
& sK25(X1,X2,X3) != sK26(X1,X2,X3)
& ! [X11,X12,X13] :
( X11 = X13
| X12 = X13
| ~ iext(X1,X3,X11)
| ~ icext(X2,X11)
| ~ iext(X1,X3,X12)
| ~ icext(X2,X12)
| ~ iext(X1,X3,X13)
| ~ icext(X2,X13) ) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_qualifiedCardinality,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,[sK22,sK23,sK24,sK25,sK26]),skolemize(X6,sK22(X1,X2,X3)),skolemize(X7,sK23(X1,X2,X3)),skolemize(X8,sK24(X1,X2,X3)),skolemize(X9,sK25(X1,X2,X3)),skolemize(X10,sK26(X1,X2,X3))],[f697]) ).
fof(f792,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,uri_ex_w,X0)
| ~ iext(uri_owl_differentFrom,X1,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_w,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_c) ),
inference(cnf_transformation,[],[f568]) ).
fof(f793,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[],[f561]) ).
fof(f794,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f795,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f796,plain,
iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f561]) ).
fof(f797,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f675]) ).
fof(f798,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f675]) ).
fof(f800,plain,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f676]) ).
fof(f859,plain,
! [X2,X3,X0,X1] :
( sK25(X1,X2,X3) != sK26(X1,X2,X3)
| ~ icext(X0,X3)
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f698]) ).
fof(f860,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| icext(X2,sK26(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f698]) ).
fof(f861,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,X3)
| iext(X1,X3,sK26(X1,X2,X3))
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f698]) ).
fof(f862,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| icext(X2,sK25(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f698]) ).
fof(f863,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,X3)
| iext(X1,X3,sK25(X1,X2,X3))
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f698]) ).
fof(f1161,plain,
icext(uri_ex_z,uri_ex_w),
inference(resolution,[],[f797,f793]) ).
fof(f1162,plain,
! [X0,X1] :
( iext(X0,uri_ex_w,sK25(X0,X1,uri_ex_w))
| ~ iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,uri_ex_z,X0)
| ~ iext(uri_owl_onClass,uri_ex_z,X1) ),
inference(resolution,[],[f1161,f863]) ).
fof(f1163,plain,
! [X0,X1] :
( iext(X0,uri_ex_w,sK26(X0,X1,uri_ex_w))
| ~ iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,uri_ex_z,X0)
| ~ iext(uri_owl_onClass,uri_ex_z,X1) ),
inference(resolution,[],[f1161,f861]) ).
fof(f1165,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z,X0)
| iext(X0,uri_ex_w,sK26(X0,X1,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,X1) ),
inference(forward_subsumption_resolution,[],[f1163,f796]) ).
fof(f1166,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z,X0)
| iext(X0,uri_ex_w,sK25(X0,X1,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,X1) ),
inference(forward_subsumption_resolution,[],[f1162,f796]) ).
fof(f1167,plain,
! [X0] :
( iext(uri_ex_p,uri_ex_w,sK26(uri_ex_p,X0,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f1165,f795]) ).
fof(f1169,plain,
! [X0] :
( iext(uri_ex_p,uri_ex_w,sK25(uri_ex_p,X0,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f1166,f795]) ).
fof(f1170,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,sK25(uri_ex_p,X0,uri_ex_w),uri_ex_c)
| ~ iext(uri_owl_differentFrom,X1,sK25(uri_ex_p,X0,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,X0)
| ~ iext(uri_ex_p,uri_ex_w,X1)
| ~ iext(uri_rdf_type,X1,uri_ex_c) ),
inference(resolution,[],[f1169,f792]) ).
fof(f1171,plain,
! [X2,X0,X1] :
( ~ icext(uri_ex_z,X0)
| icext(X1,sK26(X2,X1,X0))
| ~ iext(uri_owl_onProperty,uri_ex_z,X2)
| ~ iext(uri_owl_onClass,uri_ex_z,X1) ),
inference(resolution,[],[f860,f796]) ).
fof(f1172,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
| icext(X0,sK26(X1,X0,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f1171,f1161]) ).
fof(f1173,plain,
! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z,X0)
| icext(X0,sK26(uri_ex_p,X0,uri_ex_w)) ),
inference(resolution,[],[f1172,f795]) ).
fof(f1174,plain,
icext(uri_ex_c,sK26(uri_ex_p,uri_ex_c,uri_ex_w)),
inference(resolution,[],[f1173,f794]) ).
fof(f1177,plain,
iext(uri_rdf_type,sK26(uri_ex_p,uri_ex_c,uri_ex_w),uri_ex_c),
inference(resolution,[],[f1174,f798]) ).
fof(f1194,plain,
! [X2,X0,X1] :
( ~ icext(uri_ex_z,X0)
| icext(X1,sK25(X2,X1,X0))
| ~ iext(uri_owl_onProperty,uri_ex_z,X2)
| ~ iext(uri_owl_onClass,uri_ex_z,X1) ),
inference(resolution,[],[f862,f796]) ).
fof(f1195,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
| icext(X0,sK25(X1,X0,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f1194,f1161]) ).
fof(f1196,plain,
! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z,X0)
| icext(X0,sK25(uri_ex_p,X0,uri_ex_w)) ),
inference(resolution,[],[f1195,f795]) ).
fof(f1197,plain,
icext(uri_ex_c,sK25(uri_ex_p,uri_ex_c,uri_ex_w)),
inference(resolution,[],[f1196,f794]) ).
fof(f1200,plain,
iext(uri_rdf_type,sK25(uri_ex_p,uri_ex_c,uri_ex_w),uri_ex_c),
inference(resolution,[],[f1197,f798]) ).
fof(f1201,plain,
! [X0] :
( ~ iext(uri_owl_differentFrom,X0,sK25(uri_ex_p,uri_ex_c,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_w,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(resolution,[],[f1200,f1170]) ).
fof(f1205,definition,
( spl104_4
<=> sK26(uri_ex_p,uri_ex_c,uri_ex_w) = sK25(uri_ex_p,uri_ex_c,uri_ex_w) ),
introduced(definition,[new_symbols(definition,[spl104_4])],[avatar_definition]) ).
fof(f1206,plain,
( sK26(uri_ex_p,uri_ex_c,uri_ex_w) = sK25(uri_ex_p,uri_ex_c,uri_ex_w)
| ~ spl104_4 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1211,plain,
! [X0] :
( ~ iext(uri_owl_differentFrom,X0,sK25(uri_ex_p,uri_ex_c,uri_ex_w))
| ~ iext(uri_ex_p,uri_ex_w,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(forward_subsumption_resolution,[],[f1201,f794]) ).
fof(f1212,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_w,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c)
| sK25(uri_ex_p,uri_ex_c,uri_ex_w) = X0 ),
inference(resolution,[],[f1211,f800]) ).
fof(f1213,plain,
! [X0] :
( ~ iext(uri_rdf_type,sK26(uri_ex_p,X0,uri_ex_w),uri_ex_c)
| sK26(uri_ex_p,X0,uri_ex_w) = sK25(uri_ex_p,uri_ex_c,uri_ex_w)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f1212,f1167]) ).
fof(f1215,plain,
( sK26(uri_ex_p,uri_ex_c,uri_ex_w) = sK25(uri_ex_p,uri_ex_c,uri_ex_w)
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c) ),
inference(resolution,[],[f1213,f1177]) ).
fof(f1216,plain,
sK26(uri_ex_p,uri_ex_c,uri_ex_w) = sK25(uri_ex_p,uri_ex_c,uri_ex_w),
inference(forward_subsumption_resolution,[],[f1215,f794]) ).
fof(f1217,plain,
spl104_4,
inference(avatar_split_clause,[],[f1216,f1205]) ).
fof(f1224,plain,
( $false
| ~ spl104_4 ),
inference(unit_resulting_resolution,[],[f859,f1161,f794,f795,f796,f1206]) ).
fof(f1227,plain,
~ spl104_4,
inference(avatar_contradiction_clause,[],[f1224]) ).
cnf(s4,plain,
spl104_4,
inference(sat_conversion,[],[f1217]) ).
cnf(s5,plain,
~ spl104_4,
inference(sat_conversion,[],[f1227]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s4,s5]) ).
fof(f1228,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB084+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 07:15:25 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 6.84/2.03 % (2216426)Detected formulas, will run a generic FOF schedule.
% 6.84/2.03 % (2216434)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1470819277:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.84/2.03 % (2216434)Refutation not found, incomplete strategy
% 6.84/2.03 % (2216434)------------------------------
% 6.84/2.03 % (2216434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216434)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216434)Termination reason: Refutation not found, incomplete strategy
% 6.84/2.03 % (2216434)Time elapsed: 0.001 s
% 6.84/2.03 % (2216434)Peak memory usage: 88 MB
% 6.84/2.03 % (2216434)Instructions burned: 2 (million)
% 6.84/2.03 % (2216436)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1239307386:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.84/2.03 % (2216431)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=675193060:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.84/2.03 % (2216433)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=4095462225:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.84/2.03 % (2216435)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4287173641:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.84/2.03 % (2216437)dis-21_1_sil=8000:lcm=predicate:random_seed=3997460528: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)
% 6.84/2.03 % (2216432)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=3090685161:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.84/2.03 % (2216435)Refutation not found, incomplete strategy
% 6.84/2.03 % (2216435)------------------------------
% 6.84/2.03 % (2216435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216435)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216435)Termination reason: Refutation not found, incomplete strategy
% 6.84/2.03 % (2216435)Time elapsed: 0.002 s
% 6.84/2.03 % (2216435)Peak memory usage: 88 MB
% 6.84/2.03 % (2216435)Instructions burned: 2 (million)
% 6.84/2.03 % (2216437)Instruction limit reached!
% 6.84/2.03 % (2216437)------------------------------
% 6.84/2.03 % (2216437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216437)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216437)Termination reason: Instruction limit
% 6.84/2.03 % (2216437)Termination phase: Saturation
% 6.84/2.03 % (2216437)Time elapsed: 0.068 s
% 6.84/2.03 % (2216437)Peak memory usage: 91 MB
% 6.84/2.03 % (2216437)Instructions burned: 129 (million)
% 6.84/2.03 % (2216436)Instruction limit reached!
% 6.84/2.03 % (2216436)------------------------------
% 6.84/2.03 % (2216436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216436)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216436)Termination reason: Instruction limit
% 6.84/2.03 % (2216436)Termination phase: Saturation
% 6.84/2.03 % (2216436)Time elapsed: 0.082 s
% 6.84/2.03 % (2216436)Peak memory usage: 90 MB
% 6.84/2.03 % (2216436)Instructions burned: 140 (million)
% 6.84/2.03 % (2216434)------------------------------
% 6.84/2.03 % (2216434)------------------------------
% 6.84/2.03 % (2216447)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3398426328:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.84/2.03 % (2216447)Refutation not found, incomplete strategy
% 6.84/2.03 % (2216447)------------------------------
% 6.84/2.03 % (2216447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216447)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216447)Termination reason: Refutation not found, incomplete strategy
% 6.84/2.03 % (2216447)Time elapsed: 0.002 s
% 6.84/2.03 % (2216447)Peak memory usage: 88 MB
% 6.84/2.03 % (2216447)Instructions burned: 3 (million)
% 6.84/2.03 % (2216445)lrs+10_1_sil=8000:sp=occurrence:random_seed=4044040021:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.84/2.03 % (2216446)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4108870472:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.84/2.03 % (2216446)Refutation not found, incomplete strategy
% 6.84/2.03 % (2216446)------------------------------
% 6.84/2.03 % (2216446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216446)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216446)Termination reason: Refutation not found, incomplete strategy
% 6.84/2.03 % (2216446)Time elapsed: 0.004 s
% 6.84/2.03 % (2216446)Peak memory usage: 88 MB
% 6.84/2.03 % (2216446)Instructions burned: 5 (million)
% 6.84/2.03 % (2216435)------------------------------
% 6.84/2.03 % (2216435)------------------------------
% 6.84/2.03 % (2216445)Instruction limit reached!
% 6.84/2.03 % (2216445)------------------------------
% 6.84/2.03 % (2216445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216445)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216445)Termination reason: Instruction limit
% 6.84/2.03 % (2216445)Termination phase: Saturation
% 6.84/2.03 % (2216445)Time elapsed: 0.145 s
% 6.84/2.03 % (2216445)Peak memory usage: 91 MB
% 6.84/2.03 % (2216445)Instructions burned: 286 (million)
% 6.84/2.03 % (2216447)------------------------------
% 6.84/2.03 % (2216447)------------------------------
% 6.84/2.03 % (2216451)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=1712576091:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.84/2.03 % (2216446)------------------------------
% 6.84/2.03 % (2216446)------------------------------
% 6.84/2.03 % (2216452)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4233869205:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.84/2.03 % (2216453)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=916990570:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.84/2.03 % (2216451)Instruction limit reached!
% 6.84/2.03 % (2216451)------------------------------
% 6.84/2.03 % (2216451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216451)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216451)Termination reason: Instruction limit
% 6.84/2.03 % (2216451)Termination phase: Saturation
% 6.84/2.03 % (2216451)Time elapsed: 0.132 s
% 6.84/2.03 % (2216451)Peak memory usage: 92 MB
% 6.84/2.03 % (2216451)Instructions burned: 250 (million)
% 6.84/2.03 % (2216452)Instruction limit reached!
% 6.84/2.03 % (2216452)------------------------------
% 6.84/2.03 % (2216452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216452)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216452)Termination reason: Instruction limit
% 6.84/2.03 % (2216452)Termination phase: Saturation
% 6.84/2.03 % (2216452)Time elapsed: 0.078 s
% 6.84/2.03 % (2216452)Peak memory usage: 91 MB
% 6.84/2.03 % (2216452)Instructions burned: 296 (million)
% 6.84/2.03 % (2216455)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1309847702:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.84/2.03 % (2216459)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=854150274:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.84/2.03 % (2216458)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=34974396:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.84/2.03 % (2216455)Instruction limit reached!
% 6.84/2.03 % (2216455)------------------------------
% 6.84/2.03 % (2216455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216455)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216455)Termination reason: Instruction limit
% 6.84/2.03 % (2216455)Termination phase: Saturation
% 6.84/2.03 % (2216455)Time elapsed: 0.069 s
% 6.84/2.03 % (2216455)Peak memory usage: 89 MB
% 6.84/2.03 % (2216455)Instructions burned: 114 (million)
% 6.84/2.03 % (2216459)Instruction limit reached!
% 6.84/2.03 % (2216459)------------------------------
% 6.84/2.03 % (2216459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.03 % (2216459)CaDiCaL version: 2.1.3
% 6.84/2.03 % (2216459)Termination reason: Instruction limit
% 6.84/2.03 % (2216459)Termination phase: Saturation
% 6.84/2.03 % (2216459)Time elapsed: 0.028 s
% 6.84/2.03 % (2216459)Peak memory usage: 89 MB
% 6.84/2.03 % (2216459)Instructions burned: 118 (million)
% 6.84/2.03 % (2216432)First to succeed.
% 6.84/2.03 % (2216432)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2216426"
% 6.84/2.03 % (2216458)Instruction limit reached!
% 6.84/2.03 % (2216458)------------------------------
% 6.84/2.03 % (2216458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.03 % (2216458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.04 % (2216458)CaDiCaL version: 2.1.3
% 6.84/2.04 % (2216458)Termination reason: Instruction limit
% 6.84/2.04 % (2216458)Termination phase: Saturation
% 6.84/2.04 % (2216458)Time elapsed: 0.064 s
% 6.84/2.04 % (2216458)Peak memory usage: 90 MB
% 6.84/2.04 % (2216458)Instructions burned: 128 (million)
% 6.84/2.04 % (2216464)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2023539274:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.84/2.04 % (2216463)lrs+10_1_sil=8000:sp=occurrence:random_seed=2695682750:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.84/2.04 % (2216464)Refutation not found, incomplete strategy
% 6.84/2.04 % (2216464)------------------------------
% 6.84/2.04 % (2216464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.84/2.04 % (2216464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/2.04 % (2216464)CaDiCaL version: 2.1.3
% 6.84/2.04 % (2216464)Termination reason: Refutation not found, incomplete strategy
% 6.84/2.04 % (2216464)Time elapsed: 0.080 s
% 6.84/2.04 % (2216464)Peak memory usage: 91 MB
% 6.84/2.04 % (2216464)Instructions burned: 280 (million)
% 6.84/2.04 % (2216465)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2408169091:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.84/2.04 % (2216432)Refutation found. Thanks to Tanya!
% 6.84/2.04 % SZS status Theorem for theBenchmark
% 6.84/2.04 % SZS output start Proof for theBenchmark
% See solution above
% 8.80/2.23 % (2216432)------------------------------
% 8.80/2.23 % (2216432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.80/2.23 % (2216432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.80/2.23 % (2216432)CaDiCaL version: 2.1.3
% 8.80/2.23 % (2216432)Termination reason: Refutation
% 8.80/2.23 % (2216432)Time elapsed: 0.718 s
% 8.80/2.23 % (2216432)Peak memory usage: 136 MB
% 8.80/2.23 % (2216432)Instructions burned: 1093 (million)
% 8.80/2.23 % (2216432)------------------------------
% 8.80/2.23 % (2216432)------------------------------
% 8.80/2.23 % (2216426)Success in time 1.166 s
% 8.80/2.23 % Vampire exiting
%------------------------------------------------------------------------------