%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB092+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:00:24 PM UTC 2026
% Result : Theorem 3.58s 1.17s
% Output : Refutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 94 ( 28 unt; 2 def)
% Number of atoms : 392 ( 60 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 494 ( 196 ~; 197 |; 82 &)
% ( 14 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 27 con; 0-3 aty)
% Number of variables : 180 ( 0 sgn 169 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f278,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
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(f324,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_0,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_maxqcr_object_000) ).
fof(f406,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_owl_sourceIndividual,X0,X2)
& iext(uri_owl_assertionProperty,X0,X1)
& iext(uri_owl_targetIndividual,X0,X3) )
=> ~ iext(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_npa_object_if) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_maxqcr_inst_subj_zero) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2,X3,X4] :
( iext(uri_owl_complementOf,X2,uri_ex_c)
& iext(uri_rdfs_range,uri_ex_p,X4)
& iext(uri_owl_maxQualifiedCardinality,uri_ex_z,literal_typed(dat_str_0,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_first,X0,uri_ex_x2)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_oneOf,X4,X3)
& iext(uri_rdf_type,uri_ex_x1,uri_ex_c)
& iext(uri_rdf_type,X1,uri_owl_NegativePropertyAssertion)
& iext(uri_owl_sourceIndividual,X1,uri_ex_w)
& iext(uri_owl_assertionProperty,X1,uri_ex_p)
& iext(uri_owl_targetIndividual,X1,uri_ex_x1)
& iext(uri_rdf_first,X3,uri_ex_x1)
& iext(uri_rdf_rest,X3,X0)
& iext(uri_ex_p,uri_ex_w,uri_ex_x2)
& iext(uri_rdf_type,uri_ex_x2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_maxqcr_inst_subj_zero) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(flattening,[],[f560]) ).
fof(f564,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f59]) ).
fof(f565,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f564]) ).
fof(f571,plain,
! [X0,X1,X2,X3] :
( ~ iext(X1,X2,X3)
| ~ iext(uri_owl_sourceIndividual,X0,X2)
| ~ iext(uri_owl_assertionProperty,X0,X1)
| ~ iext(uri_owl_targetIndividual,X0,X3) ),
inference(ennf_transformation,[],[f406]) ).
fof(f572,plain,
! [X0,X1,X2,X3] :
( ~ iext(X1,X2,X3)
| ~ iext(uri_owl_sourceIndividual,X0,X2)
| ~ iext(uri_owl_assertionProperty,X0,X1)
| ~ iext(uri_owl_targetIndividual,X0,X3) ),
inference(flattening,[],[f571]) ).
fof(f579,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f278]) ).
fof(f590,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(f591,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,[],[f590]) ).
fof(f599,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f324]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f599]) ).
fof(f626,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(f627,plain,
( iext(uri_owl_complementOf,sK4,uri_ex_c)
& iext(uri_rdfs_range,uri_ex_p,sK6)
& iext(uri_owl_maxQualifiedCardinality,uri_ex_z,literal_typed(dat_str_0,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_first,sK2,uri_ex_x2)
& iext(uri_rdf_rest,sK2,uri_rdf_nil)
& iext(uri_owl_oneOf,sK6,sK5)
& iext(uri_rdf_type,uri_ex_x1,uri_ex_c)
& iext(uri_rdf_type,sK3,uri_owl_NegativePropertyAssertion)
& iext(uri_owl_sourceIndividual,sK3,uri_ex_w)
& iext(uri_owl_assertionProperty,sK3,uri_ex_p)
& iext(uri_owl_targetIndividual,sK3,uri_ex_x1)
& iext(uri_rdf_first,sK5,uri_ex_x1)
& iext(uri_rdf_rest,sK5,sK2)
& iext(uri_ex_p,uri_ex_w,uri_ex_x2)
& iext(uri_rdf_type,uri_ex_x2,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6)],[f561]) ).
fof(f634,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f579]) ).
fof(f641,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,[],[f591]) ).
fof(f642,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,[],[f641]) ).
fof(f643,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,[],[f642]) ).
fof(f644,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( ( sK12(X0,X2,X4) != X2
& sK12(X0,X2,X4) != X4 )
| ~ icext(X0,sK12(X0,X2,X4)) )
& ( sK12(X0,X2,X4) = X2
| sK12(X0,X2,X4) = X4
| icext(X0,sK12(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,[sK12]),skolemize(X5,sK12(X0,X2,X4))],[f643]) ).
fof(f653,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_maxQualifiedCardinality,X0,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f600]) ).
fof(f654,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_maxQualifiedCardinality,X0,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f653]) ).
fof(f655,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ( iext(X1,X3,sK15(X1,X2,X3))
& icext(X2,sK15(X1,X2,X3)) ) )
& ( ! [X5] :
( ~ iext(X1,X3,X5)
| ~ icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X4,sK15(X1,X2,X3))],[f654]) ).
fof(f669,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[],[f562]) ).
fof(f670,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f626]) ).
fof(f671,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f626]) ).
fof(f672,plain,
iext(uri_rdf_type,uri_ex_x2,sK4),
inference(cnf_transformation,[],[f627]) ).
fof(f674,plain,
iext(uri_rdf_rest,sK5,sK2),
inference(cnf_transformation,[],[f627]) ).
fof(f675,plain,
iext(uri_rdf_first,sK5,uri_ex_x1),
inference(cnf_transformation,[],[f627]) ).
fof(f676,plain,
iext(uri_owl_targetIndividual,sK3,uri_ex_x1),
inference(cnf_transformation,[],[f627]) ).
fof(f677,plain,
iext(uri_owl_assertionProperty,sK3,uri_ex_p),
inference(cnf_transformation,[],[f627]) ).
fof(f678,plain,
iext(uri_owl_sourceIndividual,sK3,uri_ex_w),
inference(cnf_transformation,[],[f627]) ).
fof(f681,plain,
iext(uri_owl_oneOf,sK6,sK5),
inference(cnf_transformation,[],[f627]) ).
fof(f682,plain,
iext(uri_rdf_rest,sK2,uri_rdf_nil),
inference(cnf_transformation,[],[f627]) ).
fof(f683,plain,
iext(uri_rdf_first,sK2,uri_ex_x2),
inference(cnf_transformation,[],[f627]) ).
fof(f684,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[],[f627]) ).
fof(f685,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f627]) ).
fof(f686,plain,
iext(uri_owl_maxQualifiedCardinality,uri_ex_z,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f627]) ).
fof(f687,plain,
iext(uri_rdfs_range,uri_ex_p,sK6),
inference(cnf_transformation,[],[f627]) ).
fof(f688,plain,
iext(uri_owl_complementOf,sK4,uri_ex_c),
inference(cnf_transformation,[],[f627]) ).
fof(f694,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_range,X0,X1)
| icext(X1,X3)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f565]) ).
fof(f706,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_targetIndividual,X0,X3)
| ~ iext(uri_owl_sourceIndividual,X0,X2)
| ~ iext(uri_owl_assertionProperty,X0,X1)
| ~ iext(X1,X2,X3) ),
inference(cnf_transformation,[],[f572]) ).
fof(f716,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f634]) ).
fof(f742,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,[],[f644]) ).
fof(f767,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))
| icext(X2,sK15(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f655]) ).
fof(f768,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_0,uri_xsd_nonNegativeInteger))
| iext(X1,X3,sK15(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f655]) ).
fof(f878,plain,
icext(sK4,uri_ex_x2),
inference(resolution,[],[f670,f672]) ).
fof(f881,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(resolution,[],[f671,f669]) ).
fof(f1127,plain,
! [X0] :
( ~ icext(sK4,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[],[f716,f688]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X1,X0)
| icext(sK6,X0) ),
inference(resolution,[],[f694,f687]) ).
fof(f1257,plain,
! [X0,X1] :
( ~ iext(uri_owl_sourceIndividual,sK3,X0)
| ~ iext(uri_owl_assertionProperty,sK3,X1)
| ~ iext(X1,X0,uri_ex_x1) ),
inference(resolution,[],[f706,f676]) ).
fof(f1264,plain,
~ icext(uri_ex_c,uri_ex_x2),
inference(resolution,[],[f1127,f878]) ).
fof(f1343,plain,
! [X2,X0,X1] :
( icext(X0,sK15(X1,X0,X2))
| icext(uri_ex_z,X2)
| ~ iext(uri_owl_onProperty,uri_ex_z,X1)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f767,f686]) ).
fof(f1394,plain,
! [X2,X0,X1] :
( iext(X0,X1,sK15(X0,X2,X1))
| icext(uri_ex_z,X1)
| ~ iext(uri_owl_onProperty,uri_ex_z,X0)
| ~ iext(uri_owl_onClass,uri_ex_z,X2) ),
inference(resolution,[],[f768,f686]) ).
fof(f1411,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK5,X3)
| ~ icext(sK6,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,[],[f742,f681]) ).
fof(f1474,plain,
! [X0] :
( ~ iext(uri_owl_assertionProperty,sK3,X0)
| ~ iext(X0,uri_ex_w,uri_ex_x1) ),
inference(resolution,[],[f1257,f678]) ).
fof(f1475,plain,
~ iext(uri_ex_p,uri_ex_w,uri_ex_x1),
inference(resolution,[],[f1474,f677]) ).
fof(f1578,plain,
! [X0,X1] :
( icext(uri_ex_z,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,X1)
| icext(sK6,sK15(uri_ex_p,X1,X0)) ),
inference(resolution,[],[f1394,f1153]) ).
fof(f1580,plain,
! [X0,X1] :
( icext(sK6,sK15(uri_ex_p,X1,X0))
| ~ iext(uri_owl_onClass,uri_ex_z,X1)
| icext(uri_ex_z,X0) ),
inference(forward_subsumption_resolution,[],[f1578,f685]) ).
fof(f1859,plain,
! [X2,X0,X1] :
( ~ icext(sK6,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK5,X1)
| X0 = X2
| ~ iext(uri_rdf_first,sK2,X2)
| ~ iext(uri_rdf_rest,sK2,uri_rdf_nil) ),
inference(resolution,[],[f1411,f674]) ).
fof(f1861,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK5,X1)
| X0 = X1
| ~ icext(sK6,X0)
| X0 = X2
| ~ iext(uri_rdf_first,sK2,X2) ),
inference(forward_subsumption_resolution,[],[f1859,f682]) ).
fof(f2056,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK2,X1)
| ~ icext(sK6,X0)
| X0 = X1
| uri_ex_x1 = X0 ),
inference(resolution,[],[f1861,f675]) ).
fof(f2141,plain,
! [X0] :
( ~ icext(sK6,X0)
| uri_ex_x2 = X0
| uri_ex_x1 = X0 ),
inference(resolution,[],[f2056,f683]) ).
fof(f2147,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z,X0)
| uri_ex_x1 = sK15(uri_ex_p,X0,X1)
| uri_ex_x2 = sK15(uri_ex_p,X0,X1)
| icext(uri_ex_z,X1) ),
inference(resolution,[],[f2141,f1580]) ).
fof(f2505,plain,
! [X0] :
( icext(uri_ex_z,X0)
| uri_ex_x2 = sK15(uri_ex_p,uri_ex_c,X0)
| uri_ex_x1 = sK15(uri_ex_p,uri_ex_c,X0) ),
inference(resolution,[],[f2147,f684]) ).
fof(f2511,plain,
( uri_ex_x2 = sK15(uri_ex_p,uri_ex_c,uri_ex_w)
| uri_ex_x1 = sK15(uri_ex_p,uri_ex_c,uri_ex_w) ),
inference(resolution,[],[f2505,f881]) ).
fof(f2523,definition,
( spl20_181
<=> uri_ex_x1 = sK15(uri_ex_p,uri_ex_c,uri_ex_w) ),
introduced(definition,[new_symbols(definition,[spl20_181])],[avatar_definition]) ).
fof(f2525,plain,
( uri_ex_x1 = sK15(uri_ex_p,uri_ex_c,uri_ex_w)
| ~ spl20_181 ),
inference(avatar_component_clause,[],[f2523]) ).
fof(f2527,definition,
( spl20_182
<=> uri_ex_x2 = sK15(uri_ex_p,uri_ex_c,uri_ex_w) ),
introduced(definition,[new_symbols(definition,[spl20_182])],[avatar_definition]) ).
fof(f2529,plain,
( uri_ex_x2 = sK15(uri_ex_p,uri_ex_c,uri_ex_w)
| ~ spl20_182 ),
inference(avatar_component_clause,[],[f2527]) ).
fof(f2530,plain,
( spl20_181
| spl20_182 ),
inference(avatar_split_clause,[],[f2511,f2527,f2523]) ).
fof(f2537,plain,
( iext(uri_ex_p,uri_ex_w,uri_ex_x1)
| icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ spl20_181 ),
inference(superposition,[],[f1394,f2525]) ).
fof(f2539,plain,
( icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ spl20_181 ),
inference(forward_subsumption_resolution,[],[f2537,f1475]) ).
fof(f2540,plain,
( ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ spl20_181 ),
inference(forward_subsumption_resolution,[],[f2539,f881]) ).
fof(f2541,plain,
( ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ spl20_181 ),
inference(forward_subsumption_resolution,[],[f2540,f685]) ).
fof(f2542,plain,
( $false
| ~ spl20_181 ),
inference(forward_subsumption_resolution,[],[f2541,f684]) ).
fof(f2543,plain,
~ spl20_181,
inference(avatar_contradiction_clause,[],[f2542]) ).
fof(f2569,plain,
( icext(uri_ex_c,uri_ex_x2)
| icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ spl20_182 ),
inference(superposition,[],[f1343,f2529]) ).
fof(f2570,plain,
( icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ spl20_182 ),
inference(forward_subsumption_resolution,[],[f2569,f1264]) ).
fof(f2571,plain,
( ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ spl20_182 ),
inference(forward_subsumption_resolution,[],[f2570,f881]) ).
fof(f2572,plain,
( ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ spl20_182 ),
inference(forward_subsumption_resolution,[],[f2571,f685]) ).
fof(f2573,plain,
( $false
| ~ spl20_182 ),
inference(forward_subsumption_resolution,[],[f2572,f684]) ).
fof(f2574,plain,
~ spl20_182,
inference(avatar_contradiction_clause,[],[f2573]) ).
cnf(s155,plain,
( spl20_181
| spl20_182 ),
inference(sat_conversion,[],[f2530]) ).
cnf(s157,plain,
~ spl20_181,
inference(sat_conversion,[],[f2543]) ).
cnf(s158,plain,
~ spl20_182,
inference(sat_conversion,[],[f2574]) ).
cnf(s159,plain,
$false,
inference(rat,[],[s155,s158,s157]) ).
fof(f2575,plain,
$false,
inference(avatar_sat_refutation,[],[s159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB092+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n013.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 28 07:19:22 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 3.58/1.16 % (997159)Detected formulas, will run a generic FOF schedule.
% 3.58/1.16 % (997169)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2594245961:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.58/1.16 % (997168)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3583455789:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.58/1.16 % (997170)dis-21_1_sil=8000:lcm=predicate:random_seed=2925543061: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)
% 3.58/1.16 % (997167)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=240490276:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.58/1.16 % (997164)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=214712067:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.58/1.16 % (997166)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=2996801703:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.58/1.17 % (997165)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=4111958615:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.58/1.17 % (997168)Refutation not found, incomplete strategy
% 3.58/1.17 % (997168)------------------------------
% 3.58/1.17 % (997168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.17 % (997168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.17 % (997168)CaDiCaL version: 2.1.3
% 3.58/1.17 % (997168)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.17 % (997168)Time elapsed: 0.002 s
% 3.58/1.17 % (997168)Peak memory usage: 87 MB
% 3.58/1.17 % (997168)Instructions burned: 2 (million)
% 3.58/1.17 % (997167)Refutation not found, incomplete strategy
% 3.58/1.17 % (997167)------------------------------
% 3.58/1.17 % (997167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.17 % (997167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.17 % (997167)CaDiCaL version: 2.1.3
% 3.58/1.17 % (997167)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.17 % (997167)Time elapsed: 0.002 s
% 3.58/1.17 % (997167)Peak memory usage: 87 MB
% 3.58/1.17 % (997167)Instructions burned: 1 (million)
% 3.58/1.17 % (997169)Instruction limit reached!
% 3.58/1.17 % (997169)------------------------------
% 3.58/1.17 % (997169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.17 % (997169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.17 % (997169)CaDiCaL version: 2.1.3
% 3.58/1.17 % (997169)Termination reason: Instruction limit
% 3.58/1.17 % (997169)Termination phase: Saturation
% 3.58/1.17 % (997169)Time elapsed: 0.046 s
% 3.58/1.17 % (997169)Peak memory usage: 91 MB
% 3.58/1.17 % (997169)Instructions burned: 142 (million)
% 3.58/1.17 % (997170)Instruction limit reached!
% 3.58/1.17 % (997170)------------------------------
% 3.58/1.17 % (997170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.17 % (997170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.17 % (997170)CaDiCaL version: 2.1.3
% 3.58/1.17 % (997170)Termination reason: Instruction limit
% 3.58/1.17 % (997170)Termination phase: Saturation
% 3.58/1.17 % (997170)Time elapsed: 0.068 s
% 3.58/1.17 % (997170)Peak memory usage: 92 MB
% 3.58/1.17 % (997170)Instructions burned: 131 (million)
% 3.58/1.17 % (997178)lrs+10_1_sil=8000:sp=occurrence:random_seed=2895968236:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.58/1.17 % (997178)First to succeed.
% 3.58/1.17 % (997178)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-997159"
% 3.58/1.17 % (997179)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1721515390:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.58/1.17 % (997179)Refutation not found, incomplete strategy
% 3.58/1.17 % (997179)------------------------------
% 3.58/1.17 % (997179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.17 % (997179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.17 % (997179)CaDiCaL version: 2.1.3
% 3.58/1.17 % (997179)Termination reason: Refutation not found, incomplete strategy
% 3.58/1.17 % (997179)Time elapsed: 0.004 s
% 3.58/1.17 % (997179)Peak memory usage: 88 MB
% 3.58/1.17 % (997179)Instructions burned: 6 (million)
% 3.58/1.17 % (997168)------------------------------
% 3.58/1.17 % (997168)------------------------------
% 3.58/1.17 % (997167)------------------------------
% 3.58/1.17 % (997167)------------------------------
% 3.58/1.17 % (997178)Refutation found. Thanks to Tanya!
% 3.58/1.17 % SZS status Theorem for theBenchmark
% 3.58/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 4.00/1.26 % (997178)------------------------------
% 4.00/1.26 % (997178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.00/1.26 % (997178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.00/1.26 % (997178)CaDiCaL version: 2.1.3
% 4.00/1.26 % (997178)Termination reason: Refutation
% 4.00/1.26 % (997178)Time elapsed: 0.023 s
% 4.00/1.26 % (997178)Peak memory usage: 91 MB
% 4.00/1.26 % (997178)Instructions burned: 60 (million)
% 4.00/1.26 % (997178)------------------------------
% 4.00/1.26 % (997178)------------------------------
% 4.00/1.26 % (997159)Success in time 0.53 s
% 4.00/1.26 % Vampire exiting
%------------------------------------------------------------------------------