%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB079+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 : n009.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 01:00:22 PM UTC 2026
% Result : Theorem 3.80s 1.54s
% Output : Refutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 78 ( 22 unt; 3 def)
% Number of atoms : 376 ( 66 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 487 ( 189 ~; 191 |; 86 &)
% ( 17 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-3 aty)
% Number of variables : 145 ( 0 sgn 133 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f241,axiom,
! [X0,X1] :
( iext(uri_owl_oneOf,X0,X1)
=> ( ic(X0)
& icext(uri_rdf_List,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
fof(f295,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f296,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_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_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_c1,uri_ex_c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_rdfsext_subclass_ext) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_owl_oneOf,uri_ex_c2,X0)
& iext(uri_rdf_first,X0,uri_ex_w)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_owl_oneOf,uri_ex_c1,X2)
& iext(uri_rdf_first,X2,uri_ex_w)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_u)
& iext(uri_rdf_rest,X1,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_rdfsext_subclass_ext) ).
fof(f562,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(flattening,[],[f560]) ).
fof(f563,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(f577,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = 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) ),
inference(ennf_transformation,[],[f296]) ).
fof(f578,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X5] :
( icext(X0,X5)
<=> ( X5 = X2
| X5 = 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) ),
inference(flattening,[],[f577]) ).
fof(f579,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(ennf_transformation,[],[f295]) ).
fof(f580,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f579]) ).
fof(f581,plain,
! [X0,X1] :
( ( ic(X0)
& icext(uri_rdf_List,X1) )
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(ennf_transformation,[],[f241]) ).
fof(f595,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,[],[f563]) ).
fof(f596,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,[],[f595]) ).
fof(f597,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,[],[f596]) ).
fof(f598,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK2(X0,X1))
& icext(X0,sK2(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,[sK2]),skolemize(X2,sK2(X0,X1))],[f597]) ).
fof(f599,plain,
( iext(uri_owl_oneOf,uri_ex_c2,sK3)
& iext(uri_rdf_first,sK3,uri_ex_w)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_owl_oneOf,uri_ex_c1,sK5)
& iext(uri_rdf_first,sK5,uri_ex_w)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_first,sK4,uri_ex_u)
& iext(uri_rdf_rest,sK4,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f561]) ).
fof(f609,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X2 != X5
& X4 != X5 ) )
& ( X5 = X2
| X5 = X4
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_oneOf,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(nnf_transformation,[],[f578]) ).
fof(f610,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X5] :
( ( icext(X0,X5)
| ( X2 != X5
& X4 != X5 ) )
& ( X5 = X2
| X5 = X4
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_oneOf,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(flattening,[],[f609]) ).
fof(f611,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X5] :
( ( ( X2 != X5
& X4 != X5 )
| ~ icext(X0,X5) )
& ( X5 = X2
| X5 = X4
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ! [X6] :
( ( icext(X0,X6)
| ( X2 != X6
& X4 != X6 ) )
& ( X2 = X6
| X4 = X6
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_oneOf,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(rectify,[],[f610]) ).
fof(f612,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( ( sK7(X0,X2,X4) != X2
& sK7(X0,X2,X4) != X4 )
| ~ icext(X0,sK7(X0,X2,X4)) )
& ( sK7(X0,X2,X4) = X2
| sK7(X0,X2,X4) = X4
| icext(X0,sK7(X0,X2,X4)) ) ) )
& ( ( ic(X0)
& ! [X6] :
( ( icext(X0,X6)
| ( X2 != X6
& X4 != X6 ) )
& ( X2 = X6
| X4 = X6
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_oneOf,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(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X5,sK7(X0,X2,X4))],[f611]) ).
fof(f613,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(nnf_transformation,[],[f580]) ).
fof(f614,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f613]) ).
fof(f615,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(rectify,[],[f614]) ).
fof(f616,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK8(X0,X2) != X2
| ~ icext(X0,sK8(X0,X2)) )
& ( sK8(X0,X2) = X2
| icext(X0,sK8(X0,X2)) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X2))],[f615]) ).
fof(f623,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f562]) ).
fof(f627,plain,
! [X0,X1] :
( icext(X0,sK2(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f598]) ).
fof(f628,plain,
! [X0,X1] :
( ~ icext(X1,sK2(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f598]) ).
fof(f635,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(cnf_transformation,[],[f599]) ).
fof(f636,plain,
iext(uri_rdf_first,sK4,uri_ex_u),
inference(cnf_transformation,[],[f599]) ).
fof(f637,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f599]) ).
fof(f638,plain,
iext(uri_rdf_first,sK5,uri_ex_w),
inference(cnf_transformation,[],[f599]) ).
fof(f639,plain,
iext(uri_owl_oneOf,uri_ex_c1,sK5),
inference(cnf_transformation,[],[f599]) ).
fof(f640,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f599]) ).
fof(f641,plain,
iext(uri_rdf_first,sK3,uri_ex_w),
inference(cnf_transformation,[],[f599]) ).
fof(f642,plain,
iext(uri_owl_oneOf,uri_ex_c2,sK3),
inference(cnf_transformation,[],[f599]) ).
fof(f667,plain,
! [X2,X3,X0,X1,X6,X4] :
( icext(X0,X6)
| X2 != X6
| ~ iext(uri_owl_oneOf,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(cnf_transformation,[],[f612]) ).
fof(f672,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X4)
| X2 = X4
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(cnf_transformation,[],[f616]) ).
fof(f682,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f581]) ).
fof(f706,plain,
! [X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X6)
| ~ iext(uri_rdf_first,X1,X6)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(equality_resolution,[],[f667]) ).
fof(f716,plain,
ic(uri_ex_c1),
inference(resolution,[],[f682,f639]) ).
fof(f717,plain,
ic(uri_ex_c2),
inference(resolution,[],[f682,f642]) ).
fof(f823,definition,
( spl11_11
<=> ! [X0] :
( icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f824,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK3,X0)
| icext(uri_ex_c2,X0) )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f852,plain,
! [X0,X1] :
( ~ icext(uri_ex_c1,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
inference(resolution,[],[f672,f639]) ).
fof(f854,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK5,X1)
| X0 = X1
| ~ icext(uri_ex_c1,X0) ),
inference(forward_subsumption_resolution,[],[f852,f637]) ).
fof(f860,plain,
! [X2,X0,X1] :
( icext(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_rest,sK3,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(resolution,[],[f706,f642]) ).
fof(f862,definition,
( spl11_15
<=> ! [X2,X1] :
( ~ iext(uri_rdf_rest,sK3,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
fof(f863,plain,
( ! [X2,X1] :
( ~ iext(uri_rdf_rest,sK3,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f864,plain,
( spl11_15
| spl11_11 ),
inference(avatar_split_clause,[],[f860,f823,f862]) ).
fof(f893,plain,
( icext(uri_ex_c2,uri_ex_w)
| ~ spl11_11 ),
inference(resolution,[],[f824,f641]) ).
fof(f934,plain,
! [X0] :
( ~ icext(uri_ex_c1,X0)
| uri_ex_w = X0 ),
inference(resolution,[],[f854,f638]) ).
fof(f939,plain,
! [X0] :
( uri_ex_w = sK2(uri_ex_c1,X0)
| ~ ic(uri_ex_c1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_c1,X0) ),
inference(resolution,[],[f934,f627]) ).
fof(f942,plain,
! [X0] :
( iext(uri_rdfs_subClassOf,uri_ex_c1,X0)
| ~ ic(X0)
| uri_ex_w = sK2(uri_ex_c1,X0) ),
inference(forward_subsumption_resolution,[],[f939,f716]) ).
fof(f1019,definition,
( spl11_30
<=> ! [X1] : ~ iext(uri_rdf_first,sK4,X1) ),
introduced(definition,[new_symbols(definition,[spl11_30])],[avatar_definition]) ).
fof(f1020,plain,
( ! [X1] : ~ iext(uri_rdf_first,sK4,X1)
| ~ spl11_30 ),
inference(avatar_component_clause,[],[f1019]) ).
fof(f1040,plain,
( ~ ic(uri_ex_c2)
| uri_ex_w = sK2(uri_ex_c1,uri_ex_c2) ),
inference(resolution,[],[f942,f623]) ).
fof(f1055,plain,
uri_ex_w = sK2(uri_ex_c1,uri_ex_c2),
inference(forward_subsumption_resolution,[],[f1040,f717]) ).
fof(f1057,plain,
( ~ icext(uri_ex_c2,uri_ex_w)
| ~ ic(uri_ex_c1)
| ~ ic(uri_ex_c2)
| iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2) ),
inference(superposition,[],[f628,f1055]) ).
fof(f1059,plain,
( ~ ic(uri_ex_c1)
| ~ ic(uri_ex_c2)
| iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f1057,f893]) ).
fof(f1060,plain,
( ~ ic(uri_ex_c2)
| iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f1059,f716]) ).
fof(f1061,plain,
( iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2)
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f1060,f717]) ).
fof(f1062,plain,
( $false
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f1061,f623]) ).
fof(f1063,plain,
~ spl11_11,
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1067,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK4,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK4,X0) )
| ~ spl11_15 ),
inference(resolution,[],[f863,f640]) ).
fof(f1068,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK4,X0)
| ~ spl11_15 ),
inference(forward_subsumption_resolution,[],[f1067,f635]) ).
fof(f1069,plain,
( spl11_30
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f1068,f862,f1019]) ).
fof(f1071,plain,
( $false
| ~ spl11_30 ),
inference(resolution,[],[f1020,f636]) ).
fof(f1072,plain,
~ spl11_30,
inference(avatar_contradiction_clause,[],[f1071]) ).
cnf(s12,plain,
( spl11_11
| spl11_15 ),
inference(sat_conversion,[],[f864]) ).
cnf(s29,plain,
~ spl11_11,
inference(sat_conversion,[],[f1063]) ).
cnf(s30,plain,
( ~ spl11_15
| spl11_30 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s31,plain,
~ spl11_30,
inference(sat_conversion,[],[f1072]) ).
cnf(s32,plain,
~ spl11_15,
inference(rat,[],[s30,s31]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s12,s32,s29]) ).
fof(f1073,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB079+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n009.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 07:16:45 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 3.80/1.54 % (2855973)Detected formulas, will run a generic FOF schedule.
% 3.80/1.54 % (2855979)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=409543429:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.80/1.54 % (2855982)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=639740369:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.80/1.54 % (2855981)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=626309611:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.80/1.54 % (2855983)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2321116020:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.80/1.54 % (2855978)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=666530694:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.80/1.54 % (2855980)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=2584636078:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.80/1.54 % (2855984)dis-21_1_sil=8000:lcm=predicate:random_seed=4069284530:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.80/1.54 % (2855981)Refutation not found, incomplete strategy
% 3.80/1.54 % (2855981)------------------------------
% 3.80/1.54 % (2855981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.54 % (2855981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.54 % (2855981)CaDiCaL version: 2.1.3
% 3.80/1.54 % (2855981)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.54 % (2855981)Time elapsed: 0.003 s
% 3.80/1.54 % (2855981)Peak memory usage: 88 MB
% 3.80/1.54 % (2855981)Instructions burned: 2 (million)
% 3.80/1.54 % (2855982)Instruction limit reached!
% 3.80/1.54 % (2855982)------------------------------
% 3.80/1.54 % (2855982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.54 % (2855982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.54 % (2855982)CaDiCaL version: 2.1.3
% 3.80/1.54 % (2855982)Termination reason: Instruction limit
% 3.80/1.54 % (2855982)Termination phase: Saturation
% 3.80/1.54 % (2855982)Time elapsed: 0.050 s
% 3.80/1.54 % (2855982)Peak memory usage: 88 MB
% 3.80/1.54 % (2855982)Instructions burned: 122 (million)
% 3.80/1.54 % (2855984)Instruction limit reached!
% 3.80/1.54 % (2855984)------------------------------
% 3.80/1.54 % (2855984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.54 % (2855984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.54 % (2855984)CaDiCaL version: 2.1.3
% 3.80/1.54 % (2855984)Termination reason: Instruction limit
% 3.80/1.54 % (2855984)Termination phase: Saturation
% 3.80/1.54 % (2855984)Time elapsed: 0.067 s
% 3.80/1.54 % (2855984)Peak memory usage: 91 MB
% 3.80/1.54 % (2855984)Instructions burned: 130 (million)
% 3.80/1.54 % (2855983)Instruction limit reached!
% 3.80/1.54 % (2855983)------------------------------
% 3.80/1.54 % (2855983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.54 % (2855983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.54 % (2855983)CaDiCaL version: 2.1.3
% 3.80/1.54 % (2855983)Termination reason: Instruction limit
% 3.80/1.54 % (2855983)Termination phase: Saturation
% 3.80/1.54 % (2855983)Time elapsed: 0.086 s
% 3.80/1.54 % (2855983)Peak memory usage: 90 MB
% 3.80/1.54 % (2855983)Instructions burned: 140 (million)
% 3.80/1.54 % (2855992)lrs+10_1_sil=8000:sp=occurrence:random_seed=3141902556:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.80/1.54 % (2855993)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3351961295:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.80/1.54 % (2855993)Refutation not found, incomplete strategy
% 3.80/1.54 % (2855993)------------------------------
% 3.80/1.54 % (2855993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.54 % (2855993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.54 % (2855993)CaDiCaL version: 2.1.3
% 3.80/1.54 % (2855993)Termination reason: Refutation not found, incomplete strategy
% 3.80/1.54 % (2855993)Time elapsed: 0.004 s
% 3.80/1.54 % (2855993)Peak memory usage: 89 MB
% 3.80/1.54 % (2855993)Instructions burned: 6 (million)
% 3.80/1.54 % (2855992)First to succeed.
% 3.80/1.54 % (2855992)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2855973"
% 3.80/1.54 % (2855994)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1720591118:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.80/1.54 % (2855981)------------------------------
% 3.80/1.54 % (2855981)------------------------------
% 3.80/1.54 % (2855979)Also succeeded, but the first one will report.
% 3.80/1.54 % (2855994)Instruction limit reached!
% 3.80/1.54 % (2855994)------------------------------
% 3.80/1.54 % (2855994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.80/1.54 % (2855994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.54 % (2855994)CaDiCaL version: 2.1.3
% 3.80/1.54 % (2855994)Termination reason: Instruction limit
% 3.80/1.54 % (2855994)Termination phase: Saturation
% 3.80/1.54 % (2855994)Time elapsed: 0.117 s
% 3.80/1.54 % (2855994)Peak memory usage: 88 MB
% 3.80/1.54 % (2855994)Instructions burned: 326 (million)
% 3.80/1.54 % (2855998)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=2412941417:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.80/1.54 % (2855998)Also succeeded, but the first one will report.
% 3.80/1.54 % (2855993)------------------------------
% 3.80/1.54 % (2855993)------------------------------
% 3.80/1.54 % (2855992)Refutation found. Thanks to Tanya!
% 3.80/1.54 % SZS status Theorem for theBenchmark
% 3.80/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 5.22/1.63 % (2855992)------------------------------
% 5.22/1.63 % (2855992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.63 % (2855992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.63 % (2855992)CaDiCaL version: 2.1.3
% 5.22/1.63 % (2855992)Termination reason: Refutation
% 5.22/1.63 % (2855992)Time elapsed: 0.015 s
% 5.22/1.63 % (2855992)Peak memory usage: 90 MB
% 5.22/1.63 % (2855992)Instructions burned: 18 (million)
% 5.22/1.63 % (2855992)------------------------------
% 5.22/1.63 % (2855992)------------------------------
% 5.22/1.63 % (2855973)Success in time 0.675 s
% 5.22/1.63 % Vampire exiting
%------------------------------------------------------------------------------