%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB050+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 : n011.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 01:00:19 PM UTC 2026
% Result : Theorem 4.61s 1.67s
% Output : Refutation 6.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 109 ( 28 unt; 2 def)
% Number of atoms : 400 ( 72 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 461 ( 170 ~; 198 |; 77 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 161 ( 0 sgn 146 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( iext(X1,X0,X2)
=> ip(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f52,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_domain,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f59,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_range,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_range_main) ).
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/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).
fof(f397,axiom,
! [X0] :
( icext(uri_owl_SymmetricProperty,X0)
<=> ( ip(X0)
& ! [X1,X2] :
( iext(X0,X1,X2)
=> iext(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_symmetric) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_SymmetricProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_symmetric_ext) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_SymmetricProperty),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2,X3,X4,X5] :
( iext(uri_rdfs_domain,uri_ex_p,X0)
& iext(uri_rdfs_range,uri_ex_p,X4)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_owl_oneOf,X4,X2)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_rdf_rest,X1,X5)
& iext(uri_rdf_first,X3,uri_ex_y)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_rdf_first,X5,uri_ex_y)
& iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_x)
& iext(uri_rdf_rest,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_symmetric_ext) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_SymmetricProperty),
inference(flattening,[],[f560]) ).
fof(f563,plain,
! [X0] :
( icext(uri_owl_SymmetricProperty,X0)
<=> ( ip(X0)
& ! [X1,X2] :
( iext(X0,X2,X1)
| ~ iext(X0,X1,X2) ) ) ),
inference(ennf_transformation,[],[f397]) ).
fof(f565,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f567,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f52]) ).
fof(f568,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f567]) ).
fof(f570,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f59]) ).
fof(f571,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f570]) ).
fof(f580,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(f581,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,[],[f580]) ).
fof(f591,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(f592,plain,
! [X0] :
( ( icext(uri_owl_SymmetricProperty,X0)
| ~ ip(X0)
| ? [X1,X2] :
( ~ iext(X0,X2,X1)
& iext(X0,X1,X2) ) )
& ( ( ip(X0)
& ! [X1,X2] :
( iext(X0,X2,X1)
| ~ iext(X0,X1,X2) ) )
| ~ icext(uri_owl_SymmetricProperty,X0) ) ),
inference(nnf_transformation,[],[f563]) ).
fof(f593,plain,
! [X0] :
( ( icext(uri_owl_SymmetricProperty,X0)
| ~ ip(X0)
| ? [X1,X2] :
( ~ iext(X0,X2,X1)
& iext(X0,X1,X2) ) )
& ( ( ip(X0)
& ! [X1,X2] :
( iext(X0,X2,X1)
| ~ iext(X0,X1,X2) ) )
| ~ icext(uri_owl_SymmetricProperty,X0) ) ),
inference(flattening,[],[f592]) ).
fof(f594,plain,
! [X0] :
( ( icext(uri_owl_SymmetricProperty,X0)
| ~ ip(X0)
| ? [X1,X2] :
( ~ iext(X0,X2,X1)
& iext(X0,X1,X2) ) )
& ( ( ip(X0)
& ! [X3,X4] :
( iext(X0,X4,X3)
| ~ iext(X0,X3,X4) ) )
| ~ icext(uri_owl_SymmetricProperty,X0) ) ),
inference(rectify,[],[f593]) ).
fof(f595,plain,
! [X0] :
( ( icext(uri_owl_SymmetricProperty,X0)
| ~ ip(X0)
| ( ~ iext(X0,sK3(X0),sK2(X0))
& iext(X0,sK2(X0),sK3(X0)) ) )
& ( ( ip(X0)
& ! [X3,X4] :
( iext(X0,X4,X3)
| ~ iext(X0,X3,X4) ) )
| ~ icext(uri_owl_SymmetricProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X1,sK2(X0)),skolemize(X2,sK3(X0))],[f594]) ).
fof(f596,plain,
( iext(uri_rdfs_domain,uri_ex_p,sK4)
& iext(uri_rdfs_range,uri_ex_p,sK8)
& iext(uri_owl_oneOf,sK4,sK5)
& iext(uri_owl_oneOf,sK8,sK6)
& iext(uri_ex_p,uri_ex_x,uri_ex_y)
& iext(uri_ex_p,uri_ex_x,uri_ex_x)
& iext(uri_rdf_first,sK5,uri_ex_x)
& iext(uri_rdf_rest,sK5,sK9)
& iext(uri_rdf_first,sK7,uri_ex_y)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_ex_p,uri_ex_y,uri_ex_x)
& iext(uri_ex_p,uri_ex_y,uri_ex_y)
& iext(uri_rdf_first,sK9,uri_ex_y)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_x)
& iext(uri_rdf_rest,sK6,sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7),skolemize(X4,sK8),skolemize(X5,sK9)],[f561]) ).
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)
& ! [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,[],[f581]) ).
fof(f612,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,[],[f611]) ).
fof(f613,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,[],[f612]) ).
fof(f614,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( ( sK15(X0,X2,X4) != X2
& sK15(X0,X2,X4) != X4 )
| ~ icext(X0,sK15(X0,X2,X4)) )
& ( sK15(X0,X2,X4) = X2
| sK15(X0,X2,X4) = X4
| icext(X0,sK15(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,[sK15]),skolemize(X5,sK15(X0,X2,X4))],[f613]) ).
fof(f626,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_SymmetricProperty),
inference(cnf_transformation,[],[f562]) ).
fof(f628,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f591]) ).
fof(f631,plain,
! [X0] :
( iext(X0,sK2(X0),sK3(X0))
| ~ ip(X0)
| icext(uri_owl_SymmetricProperty,X0) ),
inference(cnf_transformation,[],[f595]) ).
fof(f632,plain,
! [X0] :
( icext(uri_owl_SymmetricProperty,X0)
| ~ ip(X0)
| ~ iext(X0,sK3(X0),sK2(X0)) ),
inference(cnf_transformation,[],[f595]) ).
fof(f635,plain,
iext(uri_rdf_rest,sK6,sK7),
inference(cnf_transformation,[],[f596]) ).
fof(f636,plain,
iext(uri_rdf_first,sK6,uri_ex_x),
inference(cnf_transformation,[],[f596]) ).
fof(f637,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f596]) ).
fof(f638,plain,
iext(uri_rdf_first,sK9,uri_ex_y),
inference(cnf_transformation,[],[f596]) ).
fof(f639,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_y),
inference(cnf_transformation,[],[f596]) ).
fof(f640,plain,
iext(uri_ex_p,uri_ex_y,uri_ex_x),
inference(cnf_transformation,[],[f596]) ).
fof(f641,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f596]) ).
fof(f642,plain,
iext(uri_rdf_first,sK7,uri_ex_y),
inference(cnf_transformation,[],[f596]) ).
fof(f643,plain,
iext(uri_rdf_rest,sK5,sK9),
inference(cnf_transformation,[],[f596]) ).
fof(f644,plain,
iext(uri_rdf_first,sK5,uri_ex_x),
inference(cnf_transformation,[],[f596]) ).
fof(f645,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_x),
inference(cnf_transformation,[],[f596]) ).
fof(f646,plain,
iext(uri_ex_p,uri_ex_x,uri_ex_y),
inference(cnf_transformation,[],[f596]) ).
fof(f647,plain,
iext(uri_owl_oneOf,sK8,sK6),
inference(cnf_transformation,[],[f596]) ).
fof(f648,plain,
iext(uri_owl_oneOf,sK4,sK5),
inference(cnf_transformation,[],[f596]) ).
fof(f649,plain,
iext(uri_rdfs_range,uri_ex_p,sK8),
inference(cnf_transformation,[],[f596]) ).
fof(f650,plain,
iext(uri_rdfs_domain,uri_ex_p,sK4),
inference(cnf_transformation,[],[f596]) ).
fof(f651,plain,
! [X2,X0,X1] :
( ~ iext(X1,X0,X2)
| ip(X1) ),
inference(cnf_transformation,[],[f565]) ).
fof(f658,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f568]) ).
fof(f664,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_range,X0,X1)
| icext(X1,X3)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f571]) ).
fof(f681,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| X4 = X6
| ~ icext(X0,X6)
| X2 = X6
| ~ 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,[],[f614]) ).
fof(f720,plain,
! [X0] :
( ~ iext(X0,sK3(X0),sK2(X0))
| icext(uri_owl_SymmetricProperty,X0) ),
inference(forward_subsumption_resolution,[],[f632,f651]) ).
fof(f733,plain,
ip(uri_ex_p),
inference(resolution,[],[f651,f640]) ).
fof(f764,plain,
~ icext(uri_owl_SymmetricProperty,uri_ex_p),
inference(resolution,[],[f628,f626]) ).
fof(f1013,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| icext(sK4,X0) ),
inference(resolution,[],[f658,f650]) ).
fof(f1019,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X1,X0)
| icext(sK8,X0) ),
inference(resolution,[],[f664,f649]) ).
fof(f1244,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK5,X3)
| ~ icext(sK4,X1)
| X1 = X2
| ~ iext(uri_rdf_first,sK5,X2)
| X0 = X1
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f681,f648]) ).
fof(f1245,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK6,X3)
| ~ icext(sK8,X1)
| X1 = X2
| ~ iext(uri_rdf_first,sK6,X2)
| X0 = X1
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f681,f647]) ).
fof(f1404,plain,
( icext(sK4,sK2(uri_ex_p))
| ~ ip(uri_ex_p)
| icext(uri_owl_SymmetricProperty,uri_ex_p) ),
inference(resolution,[],[f1013,f631]) ).
fof(f1409,plain,
( icext(sK4,sK2(uri_ex_p))
| icext(uri_owl_SymmetricProperty,uri_ex_p) ),
inference(forward_subsumption_resolution,[],[f1404,f733]) ).
fof(f1410,plain,
icext(sK4,sK2(uri_ex_p)),
inference(forward_subsumption_resolution,[],[f1409,f764]) ).
fof(f1440,plain,
( icext(sK8,sK3(uri_ex_p))
| ~ ip(uri_ex_p)
| icext(uri_owl_SymmetricProperty,uri_ex_p) ),
inference(resolution,[],[f1019,f631]) ).
fof(f1445,plain,
( icext(sK8,sK3(uri_ex_p))
| icext(uri_owl_SymmetricProperty,uri_ex_p) ),
inference(forward_subsumption_resolution,[],[f1440,f733]) ).
fof(f1446,plain,
icext(sK8,sK3(uri_ex_p)),
inference(forward_subsumption_resolution,[],[f1445,f764]) ).
fof(f1797,plain,
! [X2,X0,X1] :
( ~ icext(sK4,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK5,X1)
| X0 = X2
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil) ),
inference(resolution,[],[f1244,f643]) ).
fof(f1798,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK9,X2)
| X0 = X1
| ~ iext(uri_rdf_first,sK5,X1)
| X0 = X2
| ~ icext(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f1797,f637]) ).
fof(f1799,plain,
! [X2,X0,X1] :
( ~ icext(sK8,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK6,X1)
| X0 = X2
| ~ iext(uri_rdf_first,sK7,X2)
| ~ iext(uri_rdf_rest,sK7,uri_rdf_nil) ),
inference(resolution,[],[f1245,f635]) ).
fof(f1800,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK7,X2)
| X0 = X1
| ~ iext(uri_rdf_first,sK6,X1)
| X0 = X2
| ~ icext(sK8,X0) ),
inference(forward_subsumption_resolution,[],[f1799,f641]) ).
fof(f2877,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK5,X1)
| X0 = X1
| uri_ex_y = X0
| ~ icext(sK4,X0) ),
inference(resolution,[],[f1798,f638]) ).
fof(f2878,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK6,X1)
| X0 = X1
| uri_ex_y = X0
| ~ icext(sK8,X0) ),
inference(resolution,[],[f1800,f642]) ).
fof(f4688,plain,
! [X0] :
( ~ icext(sK4,X0)
| uri_ex_y = X0
| uri_ex_x = X0 ),
inference(resolution,[],[f2877,f644]) ).
fof(f4699,plain,
! [X0] :
( ~ icext(sK8,X0)
| uri_ex_y = X0
| uri_ex_x = X0 ),
inference(resolution,[],[f2878,f636]) ).
fof(f7021,definition,
( spl18_274
<=> uri_ex_x = sK3(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl18_274])],[avatar_definition]) ).
fof(f7022,plain,
( uri_ex_x != sK3(uri_ex_p)
| spl18_274 ),
inference(avatar_component_clause,[],[f7021]) ).
fof(f7023,plain,
( uri_ex_x = sK3(uri_ex_p)
| ~ spl18_274 ),
inference(avatar_component_clause,[],[f7021]) ).
fof(f7100,definition,
( spl18_276
<=> uri_ex_x = sK2(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl18_276])],[avatar_definition]) ).
fof(f7101,plain,
( uri_ex_x != sK2(uri_ex_p)
| spl18_276 ),
inference(avatar_component_clause,[],[f7100]) ).
fof(f7102,plain,
( uri_ex_x = sK2(uri_ex_p)
| ~ spl18_276 ),
inference(avatar_component_clause,[],[f7100]) ).
fof(f7112,plain,
( ~ iext(uri_ex_p,uri_ex_x,sK2(uri_ex_p))
| icext(uri_owl_SymmetricProperty,uri_ex_p)
| ~ spl18_274 ),
inference(superposition,[],[f720,f7023]) ).
fof(f7113,plain,
( ~ iext(uri_ex_p,uri_ex_x,sK2(uri_ex_p))
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f7112,f764]) ).
fof(f7120,plain,
( ~ iext(uri_ex_p,uri_ex_x,uri_ex_x)
| ~ spl18_274
| ~ spl18_276 ),
inference(forward_demodulation,[],[f7113,f7102]) ).
fof(f7122,plain,
( $false
| ~ spl18_274
| ~ spl18_276 ),
inference(forward_subsumption_resolution,[],[f7120,f645]) ).
fof(f7123,plain,
( ~ spl18_274
| ~ spl18_276 ),
inference(avatar_contradiction_clause,[],[f7122]) ).
fof(f7664,plain,
( uri_ex_y = sK2(uri_ex_p)
| uri_ex_x = sK2(uri_ex_p) ),
inference(resolution,[],[f4688,f1410]) ).
fof(f7674,plain,
( uri_ex_y = sK2(uri_ex_p)
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f7664,f7101]) ).
fof(f7683,plain,
( ~ iext(uri_ex_p,sK3(uri_ex_p),uri_ex_y)
| icext(uri_owl_SymmetricProperty,uri_ex_p)
| spl18_276 ),
inference(superposition,[],[f720,f7674]) ).
fof(f7684,plain,
( ~ iext(uri_ex_p,sK3(uri_ex_p),uri_ex_y)
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f7683,f764]) ).
fof(f7688,plain,
( ~ iext(uri_ex_p,uri_ex_x,uri_ex_y)
| ~ spl18_274
| spl18_276 ),
inference(forward_demodulation,[],[f7684,f7023]) ).
fof(f7690,plain,
( $false
| ~ spl18_274
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f7688,f646]) ).
fof(f7691,plain,
( ~ spl18_274
| spl18_276 ),
inference(avatar_contradiction_clause,[],[f7690]) ).
fof(f7695,plain,
( uri_ex_y = sK3(uri_ex_p)
| uri_ex_x = sK3(uri_ex_p) ),
inference(resolution,[],[f4699,f1446]) ).
fof(f7706,plain,
( uri_ex_y = sK3(uri_ex_p)
| spl18_274 ),
inference(forward_subsumption_resolution,[],[f7695,f7022]) ).
fof(f7718,plain,
( ~ iext(uri_ex_p,uri_ex_y,sK2(uri_ex_p))
| icext(uri_owl_SymmetricProperty,uri_ex_p)
| spl18_274 ),
inference(superposition,[],[f720,f7706]) ).
fof(f7719,plain,
( ~ iext(uri_ex_p,uri_ex_y,sK2(uri_ex_p))
| spl18_274 ),
inference(forward_subsumption_resolution,[],[f7718,f764]) ).
fof(f7721,plain,
( ~ iext(uri_ex_p,uri_ex_y,uri_ex_y)
| spl18_274
| spl18_276 ),
inference(forward_demodulation,[],[f7719,f7674]) ).
fof(f7723,plain,
( $false
| spl18_274
| spl18_276 ),
inference(forward_subsumption_resolution,[],[f7721,f639]) ).
fof(f7724,plain,
( spl18_274
| spl18_276 ),
inference(avatar_contradiction_clause,[],[f7723]) ).
fof(f7726,plain,
( ~ iext(uri_ex_p,uri_ex_y,uri_ex_x)
| spl18_274
| ~ spl18_276 ),
inference(forward_demodulation,[],[f7719,f7102]) ).
fof(f7728,plain,
( $false
| spl18_274
| ~ spl18_276 ),
inference(forward_subsumption_resolution,[],[f7726,f640]) ).
fof(f7729,plain,
( spl18_274
| ~ spl18_276 ),
inference(avatar_contradiction_clause,[],[f7728]) ).
cnf(s289,plain,
( ~ spl18_274
| ~ spl18_276 ),
inference(sat_conversion,[],[f7123]) ).
cnf(s322,plain,
( ~ spl18_274
| spl18_276 ),
inference(sat_conversion,[],[f7691]) ).
cnf(s323,plain,
( spl18_274
| spl18_276 ),
inference(sat_conversion,[],[f7724]) ).
cnf(s324,plain,
( spl18_274
| ~ spl18_276 ),
inference(sat_conversion,[],[f7729]) ).
cnf(s336,plain,
spl18_274,
inference(rat,[],[s323,s324]) ).
cnf(s337,plain,
spl18_276,
inference(rat,[],[s322,s336]) ).
cnf(s338,plain,
$false,
inference(rat,[],[s289,s337,s336]) ).
fof(f7730,plain,
$false,
inference(avatar_sat_refutation,[],[s338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB050+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:14:45 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.61/1.67 % (3221807)Detected formulas, will run a generic FOF schedule.
% 4.61/1.67 % (3221814)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=3347507111:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.61/1.67 % (3221816)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=179149315:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.61/1.67 % (3221818)dis-21_1_sil=8000:lcm=predicate:random_seed=3637440118: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)
% 4.61/1.67 % (3221813)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=3896621714:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.61/1.67 % (3221815)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2931509857:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.61/1.67 % (3221812)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=2917990126:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.61/1.67 % (3221817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1457956709:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.61/1.67 % (3221815)Refutation not found, incomplete strategy
% 4.61/1.67 % (3221815)------------------------------
% 4.61/1.67 % (3221815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.67 % (3221815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.67 % (3221815)CaDiCaL version: 2.1.3
% 4.61/1.67 % (3221815)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.67 % (3221815)Time elapsed: 0.002 s
% 4.61/1.67 % (3221815)Peak memory usage: 88 MB
% 4.61/1.67 % (3221815)Instructions burned: 2 (million)
% 4.61/1.67 % (3221816)Refutation not found, incomplete strategy
% 4.61/1.67 % (3221816)------------------------------
% 4.61/1.67 % (3221816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.67 % (3221816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.67 % (3221816)CaDiCaL version: 2.1.3
% 4.61/1.67 % (3221816)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.67 % (3221816)Time elapsed: 0.003 s
% 4.61/1.67 % (3221816)Peak memory usage: 88 MB
% 4.61/1.67 % (3221816)Instructions burned: 2 (million)
% 4.61/1.67 % (3221818)Instruction limit reached!
% 4.61/1.67 % (3221818)------------------------------
% 4.61/1.67 % (3221818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.67 % (3221818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.67 % (3221818)CaDiCaL version: 2.1.3
% 4.61/1.67 % (3221818)Termination reason: Instruction limit
% 4.61/1.67 % (3221818)Termination phase: Saturation
% 4.61/1.67 % (3221818)Time elapsed: 0.068 s
% 4.61/1.67 % (3221818)Peak memory usage: 91 MB
% 4.61/1.67 % (3221818)Instructions burned: 130 (million)
% 4.61/1.67 % (3221817)Instruction limit reached!
% 4.61/1.67 % (3221817)------------------------------
% 4.61/1.67 % (3221817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.67 % (3221817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.67 % (3221817)CaDiCaL version: 2.1.3
% 4.61/1.67 % (3221817)Termination reason: Instruction limit
% 4.61/1.67 % (3221817)Termination phase: Saturation
% 4.61/1.67 % (3221817)Time elapsed: 0.083 s
% 4.61/1.67 % (3221817)Peak memory usage: 91 MB
% 4.61/1.67 % (3221817)Instructions burned: 139 (million)
% 4.61/1.67 % (3221826)lrs+10_1_sil=8000:sp=occurrence:random_seed=1034622355:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.61/1.67 % (3221827)lrs+10_1_sil=32000:urr=on:br=off:random_seed=835983779:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.61/1.67 % (3221815)------------------------------
% 4.61/1.67 % (3221815)------------------------------
% 4.61/1.67 % (3221816)------------------------------
% 4.61/1.67 % (3221816)------------------------------
% 4.61/1.67 % (3221827)Refutation not found, incomplete strategy
% 4.61/1.67 % (3221827)------------------------------
% 4.61/1.67 % (3221827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.67 % (3221827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.67 % (3221827)CaDiCaL version: 2.1.3
% 4.61/1.67 % (3221827)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.67 % (3221827)Time elapsed: 0.004 s
% 4.61/1.67 % (3221827)Peak memory usage: 89 MB
% 4.61/1.67 % (3221827)Instructions burned: 6 (million)
% 4.61/1.67 % (3221826)First to succeed.
% 4.61/1.67 % (3221826)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3221807"
% 4.61/1.67 % (3221831)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=3230254972:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.61/1.67 % (3221830)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3576246015:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.61/1.67 % (3221830)Refutation not found, incomplete strategy
% 4.61/1.67 % (3221830)------------------------------
% 4.61/1.67 % (3221830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.67 % (3221830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.67 % (3221830)CaDiCaL version: 2.1.3
% 4.61/1.67 % (3221830)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.67 % (3221830)Time elapsed: 0.003 s
% 4.61/1.67 % (3221830)Peak memory usage: 88 MB
% 4.61/1.67 % (3221830)Instructions burned: 3 (million)
% 4.61/1.67 % (3221831)Instruction limit reached!
% 4.61/1.67 % (3221831)------------------------------
% 4.61/1.67 % (3221831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.67 % (3221831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.67 % (3221831)CaDiCaL version: 2.1.3
% 4.61/1.67 % (3221831)Termination reason: Instruction limit
% 4.61/1.67 % (3221831)Termination phase: Saturation
% 4.61/1.67 % (3221831)Time elapsed: 0.072 s
% 4.61/1.67 % (3221831)Peak memory usage: 92 MB
% 4.61/1.67 % (3221831)Instructions burned: 251 (million)
% 4.61/1.67 % (3221827)------------------------------
% 4.61/1.67 % (3221827)------------------------------
% 4.61/1.67 % (3221834)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=602023879:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 4.61/1.67 % (3221834)Refutation not found, incomplete strategy
% 4.61/1.67 % (3221834)------------------------------
% 4.61/1.67 % (3221834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.61/1.67 % (3221834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.61/1.67 % (3221834)CaDiCaL version: 2.1.3
% 4.61/1.67 % (3221834)Termination reason: Refutation not found, incomplete strategy
% 4.61/1.67 % (3221834)Time elapsed: 0.003 s
% 4.61/1.67 % (3221834)Peak memory usage: 89 MB
% 4.61/1.67 % (3221834)Instructions burned: 8 (million)
% 4.61/1.67 % (3221826)Refutation found. Thanks to Tanya!
% 4.61/1.67 % SZS status Theorem for theBenchmark
% 4.61/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 6.19/1.87 % (3221826)------------------------------
% 6.19/1.87 % (3221826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.87 % (3221826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.87 % (3221826)CaDiCaL version: 2.1.3
% 6.19/1.87 % (3221826)Termination reason: Refutation
% 6.19/1.87 % (3221826)Time elapsed: 0.148 s
% 6.19/1.87 % (3221826)Peak memory usage: 93 MB
% 6.19/1.87 % (3221826)Instructions burned: 224 (million)
% 6.19/1.87 % (3221826)------------------------------
% 6.19/1.87 % (3221826)------------------------------
% 6.19/1.87 % (3221807)Success in time 0.805 s
% 6.19/1.87 % Vampire exiting
%------------------------------------------------------------------------------