%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB027+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 : n008.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 01:00:13 PM UTC 2026
% Result : Theorem 3.73s 1.59s
% Output : Refutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 17 unt; 3 def)
% Number of atoms : 379 ( 18 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 480 ( 182 ~; 188 |; 93 &)
% ( 13 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 191 ( 0 sgn 164 !; 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(f219,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
=> ( ip(X0)
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
fof(f354,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f389,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_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( ( iext(X2,X5,X6)
& iext(X4,X6,X7) )
=> iext(X0,X5,X7) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f391,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f394,axiom,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X3)
& iext(X0,X2,X3) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X0)
& iext(uri_rdf_first,X0,uri_ex_p)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_inverseOf,X2,uri_ex_p) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f560]) ).
fof(f563,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f394]) ).
fof(f564,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f563]) ).
fof(f566,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1) )
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(ennf_transformation,[],[f219]) ).
fof(f569,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ 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,[],[f389]) ).
fof(f570,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ 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,[],[f569]) ).
fof(f589,plain,
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK0)
& iext(uri_rdf_first,sK0,uri_ex_p)
& iext(uri_rdf_rest,sK0,sK1)
& iext(uri_rdf_first,sK1,sK2)
& iext(uri_rdf_rest,sK1,uri_rdf_nil)
& iext(uri_owl_inverseOf,sK2,uri_ex_p) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f561]) ).
fof(f590,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(f591,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f564]) ).
fof(f592,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f591]) ).
fof(f593,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(rectify,[],[f592]) ).
fof(f594,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK3(X0) != sK4(X0)
& iext(X0,sK3(X0),sK5(X0))
& iext(X0,sK4(X0),sK5(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0)),skolemize(X3,sK5(X0))],[f593]) ).
fof(f595,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f391]) ).
fof(f596,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f595]) ).
fof(f597,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f596]) ).
fof(f598,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK7(X0,X1),sK6(X0,X1))
| ~ iext(X0,sK6(X0,X1),sK7(X0,X1)) )
& ( iext(X1,sK7(X0,X1),sK6(X0,X1))
| iext(X0,sK6(X0,X1),sK7(X0,X1)) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1))],[f597]) ).
fof(f603,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,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,[],[f570]) ).
fof(f604,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,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,[],[f603]) ).
fof(f605,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,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,[],[f604]) ).
fof(f606,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ( ~ iext(X0,sK12(X0,X2,X4),sK14(X0,X2,X4))
& iext(X2,sK12(X0,X2,X4),sK13(X0,X2,X4))
& iext(X4,sK13(X0,X2,X4),sK14(X0,X2,X4)) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,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,sK13,sK14]),skolemize(X5,sK12(X0,X2,X4)),skolemize(X6,sK13(X0,X2,X4)),skolemize(X7,sK14(X0,X2,X4))],[f605]) ).
fof(f615,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f354]) ).
fof(f628,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f562]) ).
fof(f629,plain,
iext(uri_owl_inverseOf,sK2,uri_ex_p),
inference(cnf_transformation,[],[f589]) ).
fof(f630,plain,
iext(uri_rdf_rest,sK1,uri_rdf_nil),
inference(cnf_transformation,[],[f589]) ).
fof(f631,plain,
iext(uri_rdf_first,sK1,sK2),
inference(cnf_transformation,[],[f589]) ).
fof(f632,plain,
iext(uri_rdf_rest,sK0,sK1),
inference(cnf_transformation,[],[f589]) ).
fof(f633,plain,
iext(uri_rdf_first,sK0,uri_ex_p),
inference(cnf_transformation,[],[f589]) ).
fof(f634,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK0),
inference(cnf_transformation,[],[f589]) ).
fof(f636,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f590]) ).
fof(f639,plain,
! [X0] :
( ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK4(X0),sK5(X0)) ),
inference(cnf_transformation,[],[f594]) ).
fof(f640,plain,
! [X0] :
( ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK3(X0),sK5(X0)) ),
inference(cnf_transformation,[],[f594]) ).
fof(f641,plain,
! [X0] :
( sK3(X0) != sK4(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f594]) ).
fof(f645,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f598]) ).
fof(f651,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X1) ),
inference(cnf_transformation,[],[f566]) ).
fof(f662,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| iext(X0,X8,X10) ),
inference(cnf_transformation,[],[f606]) ).
fof(f680,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f615]) ).
fof(f730,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| iext(sK2,X1,X0) ),
inference(resolution,[],[f645,f629]) ).
fof(f732,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X6,sK1)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK1,X3)
| iext(X5,X1,X4) ),
inference(resolution,[],[f662,f630]) ).
fof(f733,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X3,sK0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK0,X4)
| ~ iext(X4,X5,X1)
| ~ iext(uri_rdf_first,sK1,X0)
| iext(X3,X5,X2) ),
inference(resolution,[],[f732,f632]) ).
fof(f734,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK1,X0)
| ~ iext(uri_rdf_first,sK0,X3)
| ~ iext(X3,X4,X1)
| ~ iext(X0,X1,X2)
| iext(uri_owl_sameAs,X4,X2) ),
inference(resolution,[],[f733,f634]) ).
fof(f735,plain,
! [X2,X3,X0,X1] :
( ~ iext(sK2,X2,X3)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK0,X0)
| iext(uri_owl_sameAs,X1,X3) ),
inference(resolution,[],[f734,f631]) ).
fof(f736,plain,
ip(uri_ex_p),
inference(resolution,[],[f651,f629]) ).
fof(f737,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p)) ),
inference(resolution,[],[f736,f640]) ).
fof(f738,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p)) ),
inference(resolution,[],[f736,f639]) ).
fof(f740,definition,
( spl23_1
<=> iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p)) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f741,plain,
( iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p))
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f743,definition,
( spl23_2
<=> icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f744,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f745,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f738,f743,f740]) ).
fof(f747,definition,
( spl23_3
<=> iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p)) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f748,plain,
( iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p))
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f749,plain,
( spl23_3
| spl23_2 ),
inference(avatar_split_clause,[],[f737,f743,f747]) ).
fof(f762,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
| ~ spl23_2 ),
inference(resolution,[],[f744,f636]) ).
fof(f764,plain,
( $false
| ~ spl23_2 ),
inference(forward_subsumption_resolution,[],[f762,f628]) ).
fof(f765,plain,
~ spl23_2,
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f803,plain,
( iext(sK2,sK5(uri_ex_p),sK3(uri_ex_p))
| ~ spl23_3 ),
inference(resolution,[],[f748,f730]) ).
fof(f968,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK0,X0)
| ~ iext(X0,X1,sK5(uri_ex_p))
| iext(uri_owl_sameAs,X1,sK3(uri_ex_p)) )
| ~ spl23_3 ),
inference(resolution,[],[f803,f735]) ).
fof(f971,plain,
( ! [X0] :
( ~ iext(uri_ex_p,X0,sK5(uri_ex_p))
| iext(uri_owl_sameAs,X0,sK3(uri_ex_p)) )
| ~ spl23_3 ),
inference(resolution,[],[f968,f633]) ).
fof(f972,plain,
( iext(uri_owl_sameAs,sK4(uri_ex_p),sK3(uri_ex_p))
| ~ spl23_1
| ~ spl23_3 ),
inference(resolution,[],[f971,f741]) ).
fof(f975,plain,
( sK3(uri_ex_p) = sK4(uri_ex_p)
| ~ spl23_1
| ~ spl23_3 ),
inference(resolution,[],[f972,f680]) ).
fof(f980,plain,
( sK3(uri_ex_p) != sK3(uri_ex_p)
| ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl23_1
| ~ spl23_3 ),
inference(superposition,[],[f641,f975]) ).
fof(f981,plain,
( ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl23_1
| ~ spl23_3 ),
inference(trivial_inequality_removal,[],[f980]) ).
fof(f982,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl23_1
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f981,f736]) ).
fof(f983,plain,
( spl23_2
| ~ spl23_1
| ~ spl23_3 ),
inference(avatar_split_clause,[],[f982,f747,f740,f743]) ).
cnf(s1,plain,
( spl23_1
| spl23_2 ),
inference(sat_conversion,[],[f745]) ).
cnf(s2,plain,
( spl23_2
| spl23_3 ),
inference(sat_conversion,[],[f749]) ).
cnf(s4,plain,
~ spl23_2,
inference(sat_conversion,[],[f765]) ).
cnf(s24,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_3 ),
inference(sat_conversion,[],[f983]) ).
cnf(s28,plain,
spl23_3,
inference(rat,[],[s2,s4]) ).
cnf(s29,plain,
~ spl23_1,
inference(rat,[],[s24,s4,s28]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s1,s4,s29]) ).
fof(f984,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB027+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 07:06:55 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 3.73/1.59 % (2068019)Detected formulas, will run a generic FOF schedule.
% 3.73/1.59 % (2068025)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=1886267855:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.73/1.59 % (2068027)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2373464642:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.73/1.59 % (2068024)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=2204036657:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.73/1.59 % (2068028)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1683182352:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.73/1.59 % (2068029)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1106912709:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.73/1.59 % (2068026)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=3819581494:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.73/1.59 % (2068027)Refutation not found, incomplete strategy
% 3.73/1.59 % (2068027)------------------------------
% 3.73/1.59 % (2068027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.59 % (2068027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.59 % (2068027)CaDiCaL version: 2.1.3
% 3.73/1.59 % (2068027)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.59 % (2068027)Time elapsed: 0.003 s
% 3.73/1.59 % (2068027)Peak memory usage: 88 MB
% 3.73/1.59 % (2068027)Instructions burned: 2 (million)
% 3.73/1.59 % (2068030)dis-21_1_sil=8000:lcm=predicate:random_seed=1472223622: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)
% 3.73/1.59 % (2068028)Instruction limit reached!
% 3.73/1.59 % (2068028)------------------------------
% 3.73/1.59 % (2068028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.59 % (2068028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.59 % (2068028)CaDiCaL version: 2.1.3
% 3.73/1.59 % (2068028)Termination reason: Instruction limit
% 3.73/1.59 % (2068028)Termination phase: Saturation
% 3.73/1.59 % (2068028)Time elapsed: 0.068 s
% 3.73/1.59 % (2068028)Peak memory usage: 88 MB
% 3.73/1.59 % (2068028)Instructions burned: 121 (million)
% 3.73/1.59 % (2068030)Instruction limit reached!
% 3.73/1.59 % (2068030)------------------------------
% 3.73/1.59 % (2068030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.59 % (2068030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.59 % (2068030)CaDiCaL version: 2.1.3
% 3.73/1.59 % (2068030)Termination reason: Instruction limit
% 3.73/1.59 % (2068030)Termination phase: Saturation
% 3.73/1.59 % (2068030)Time elapsed: 0.066 s
% 3.73/1.59 % (2068030)Peak memory usage: 91 MB
% 3.73/1.59 % (2068030)Instructions burned: 129 (million)
% 3.73/1.59 % (2068029)Instruction limit reached!
% 3.73/1.59 % (2068029)------------------------------
% 3.73/1.59 % (2068029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.59 % (2068029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.59 % (2068029)CaDiCaL version: 2.1.3
% 3.73/1.59 % (2068029)Termination reason: Instruction limit
% 3.73/1.59 % (2068029)Termination phase: Saturation
% 3.73/1.59 % (2068029)Time elapsed: 0.085 s
% 3.73/1.59 % (2068029)Peak memory usage: 91 MB
% 3.73/1.59 % (2068029)Instructions burned: 140 (million)
% 3.73/1.59 % (2068038)lrs+10_1_sil=8000:sp=occurrence:random_seed=1036890389:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.73/1.59 % (2068039)lrs+10_1_sil=32000:urr=on:br=off:random_seed=461327387:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.73/1.59 % (2068039)Refutation not found, incomplete strategy
% 3.73/1.59 % (2068039)------------------------------
% 3.73/1.59 % (2068039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.59 % (2068039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.59 % (2068039)CaDiCaL version: 2.1.3
% 3.73/1.59 % (2068039)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.59 % (2068039)Time elapsed: 0.004 s
% 3.73/1.59 % (2068039)Peak memory usage: 89 MB
% 3.73/1.59 % (2068039)Instructions burned: 6 (million)
% 3.73/1.59 % (2068040)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1245799540:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.73/1.59 % (2068040)Refutation not found, incomplete strategy
% 3.73/1.59 % (2068040)------------------------------
% 3.73/1.59 % (2068040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.59 % (2068040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.59 % (2068040)CaDiCaL version: 2.1.3
% 3.73/1.59 % (2068040)Termination reason: Refutation not found, incomplete strategy
% 3.73/1.59 % (2068040)Time elapsed: 0.003 s
% 3.73/1.59 % (2068040)Peak memory usage: 89 MB
% 3.73/1.59 % (2068040)Instructions burned: 3 (million)
% 3.73/1.59 % (2068027)------------------------------
% 3.73/1.59 % (2068027)------------------------------
% 3.73/1.59 % (2068025)First to succeed.
% 3.73/1.59 % (2068038)Instruction limit reached!
% 3.73/1.59 % (2068038)------------------------------
% 3.73/1.59 % (2068038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.73/1.59 % (2068038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.73/1.59 % (2068038)CaDiCaL version: 2.1.3
% 3.73/1.59 % (2068038)Termination reason: Instruction limit
% 3.73/1.59 % (2068038)Termination phase: Saturation
% 3.73/1.59 % (2068038)Time elapsed: 0.177 s
% 3.73/1.59 % (2068038)Peak memory usage: 92 MB
% 3.73/1.59 % (2068038)Instructions burned: 285 (million)
% 3.73/1.59 % (2068025)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2068019"
% 3.73/1.59 % (2068044)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=988008048:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.73/1.59 % (2068044)Also succeeded, but the first one will report.
% 3.73/1.59 % (2068039)------------------------------
% 3.73/1.59 % (2068039)------------------------------
% 3.73/1.59 % (2068040)------------------------------
% 3.73/1.59 % (2068040)------------------------------
% 3.73/1.59 % (2068045)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1491207968:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.73/1.59 % (2068025)Refutation found. Thanks to Tanya!
% 3.73/1.59 % SZS status Theorem for theBenchmark
% 3.73/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.50/1.78 % (2068025)------------------------------
% 5.50/1.78 % (2068025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.78 % (2068025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.78 % (2068025)CaDiCaL version: 2.1.3
% 5.50/1.79 % (2068025)Termination reason: Refutation
% 5.50/1.79 % (2068025)Time elapsed: 0.427 s
% 5.50/1.79 % (2068025)Peak memory usage: 131 MB
% 5.50/1.79 % (2068025)Instructions burned: 997 (million)
% 5.50/1.79 % (2068025)------------------------------
% 5.50/1.79 % (2068025)------------------------------
% 5.50/1.79 % (2068019)Success in time 0.712 s
% 5.50/1.79 % Vampire exiting
%------------------------------------------------------------------------------