%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB027+2 : 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 : n026.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 0.77s 0.93s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 93 ( 19 unt; 5 def)
% Number of atoms : 411 ( 21 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 526 ( 208 ~; 209 |; 91 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 203 ( 0 sgn 176 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f6,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f7,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f9,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f7]) ).
fof(f10,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,[],[f3]) ).
fof(f11,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,[],[f10]) ).
fof(f12,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,[],[f4]) ).
fof(f13,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f16,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,[],[f11]) ).
fof(f17,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,[],[f16]) ).
fof(f18,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,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ( ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4))
& iext(X4,sK1(X0,X2,X4),sK2(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,[sK0,sK1,sK2]),skolemize(X5,sK0(X0,X2,X4)),skolemize(X6,sK1(X0,X2,X4)),skolemize(X7,sK2(X0,X2,X4))],[f18]) ).
fof(f20,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,[],[f13]) ).
fof(f21,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,[],[f20]) ).
fof(f22,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,[],[f21]) ).
fof(f23,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))],[f22]) ).
fof(f24,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,[],[f5]) ).
fof(f25,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,[],[f24]) ).
fof(f26,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,[],[f25]) ).
fof(f27,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))],[f26]) ).
fof(f28,plain,
( iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
& iext(uri_rdf_first,sK8,uri_ex_p)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK9,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_owl_inverseOf,sK10,uri_ex_p) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f8]) ).
fof(f30,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,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,[],[f19]) ).
fof(f42,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| iext(X0,sK4(X0),sK5(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| iext(X0,sK3(X0),sK5(X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0] :
( sK3(X0) != sK4(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( ip(X1)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f9]) ).
fof(f52,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_p),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
iext(uri_rdf_first,sK9,sK10),
inference(cnf_transformation,[],[f28]) ).
fof(f55,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f28]) ).
fof(f56,plain,
iext(uri_rdf_first,sK8,uri_ex_p),
inference(cnf_transformation,[],[f28]) ).
fof(f57,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8),
inference(cnf_transformation,[],[f28]) ).
fof(f61,plain,
! [X0] :
( iext(uri_rdf_type,X0,uri_owl_InverseFunctionalProperty)
| iext(X0,sK4(X0),sK5(X0))
| ~ ip(X0) ),
inference(resolution,[],[f42,f30]) ).
fof(f62,plain,
! [X0] :
( iext(uri_rdf_type,X0,uri_owl_InverseFunctionalProperty)
| iext(X0,sK3(X0),sK5(X0))
| ~ ip(X0) ),
inference(resolution,[],[f43,f30]) ).
fof(f65,plain,
! [X0,X1] :
( iext(sK10,X1,X0)
| ~ iext(uri_ex_p,X0,X1) ),
inference(resolution,[],[f46,f52]) ).
fof(f70,plain,
( iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(resolution,[],[f61,f51]) ).
fof(f72,definition,
( spl11_1
<=> ip(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f73,plain,
( ip(uri_ex_p)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( ~ ip(uri_ex_p)
| spl11_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f76,definition,
( spl11_2
<=> iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p)) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f78,plain,
( iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p))
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f70,f76,f72]) ).
fof(f84,plain,
( ! [X0] : ~ iext(uri_owl_inverseOf,X0,uri_ex_p)
| spl11_1 ),
inference(resolution,[],[f74,f47]) ).
fof(f122,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X6,sK9)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| iext(X5,X1,X4) ),
inference(resolution,[],[f33,f53]) ).
fof(f134,plain,
( $false
| spl11_1 ),
inference(resolution,[],[f84,f52]) ).
fof(f135,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f179,plain,
( iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(resolution,[],[f62,f51]) ).
fof(f180,plain,
( iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p))
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f179,f73]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X3,sK8)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK8,X4)
| ~ iext(X4,X5,X1)
| ~ iext(uri_rdf_first,sK9,X0)
| iext(X3,X5,X2) ),
inference(resolution,[],[f122,f55]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK8,X3)
| ~ iext(X3,X4,X1)
| ~ iext(X0,X1,X2)
| iext(uri_owl_sameAs,X4,X2) ),
inference(resolution,[],[f206,f57]) ).
fof(f458,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(X0,X1,X2)
| ~ iext(sK10,X2,X3)
| iext(uri_owl_sameAs,X1,X3) ),
inference(resolution,[],[f408,f54]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| ~ iext(sK10,X1,X2)
| iext(uri_owl_sameAs,X0,X2) ),
inference(resolution,[],[f458,f56]) ).
fof(f551,definition,
( spl11_62
<=> ! [X2,X0,X1] :
( ~ iext(sK10,X0,X1)
| iext(uri_owl_sameAs,X2,X1)
| ~ iext(uri_ex_p,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_62])],[avatar_definition]) ).
fof(f552,plain,
( ! [X2,X0,X1] :
( ~ iext(sK10,X0,X1)
| iext(uri_owl_sameAs,X2,X1)
| ~ iext(uri_ex_p,X2,X0) )
| ~ spl11_62 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f566,plain,
spl11_62,
inference(avatar_split_clause,[],[f495,f551]) ).
fof(f579,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_ex_p,X0,X2)
| iext(uri_owl_sameAs,X0,X1)
| ~ iext(uri_ex_p,X1,X2) )
| ~ spl11_62 ),
inference(resolution,[],[f552,f65]) ).
fof(f651,plain,
( ! [X0] :
( iext(uri_owl_sameAs,sK4(uri_ex_p),X0)
| ~ iext(uri_ex_p,X0,sK5(uri_ex_p)) )
| ~ spl11_2
| ~ spl11_62 ),
inference(resolution,[],[f579,f78]) ).
fof(f660,definition,
( spl11_69
<=> ! [X0] :
( iext(uri_owl_sameAs,sK4(uri_ex_p),X0)
| ~ iext(uri_ex_p,X0,sK5(uri_ex_p)) ) ),
introduced(definition,[new_symbols(definition,[spl11_69])],[avatar_definition]) ).
fof(f661,plain,
( ! [X0] :
( iext(uri_owl_sameAs,sK4(uri_ex_p),X0)
| ~ iext(uri_ex_p,X0,sK5(uri_ex_p)) )
| ~ spl11_69 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f675,plain,
( spl11_69
| ~ spl11_2
| ~ spl11_62 ),
inference(avatar_split_clause,[],[f651,f551,f76,f660]) ).
fof(f678,plain,
( ! [X0] :
( ~ iext(uri_ex_p,X0,sK5(uri_ex_p))
| sK4(uri_ex_p) = X0 )
| ~ spl11_69 ),
inference(resolution,[],[f661,f31]) ).
fof(f687,plain,
( sK4(uri_ex_p) = sK3(uri_ex_p)
| ~ spl11_1
| ~ spl11_69 ),
inference(resolution,[],[f678,f180]) ).
fof(f693,definition,
( spl11_71
<=> sK4(uri_ex_p) = sK3(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl11_71])],[avatar_definition]) ).
fof(f695,plain,
( sK4(uri_ex_p) = sK3(uri_ex_p)
| ~ spl11_71 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f715,plain,
( spl11_71
| ~ spl11_1
| ~ spl11_69 ),
inference(avatar_split_clause,[],[f687,f660,f72,f693]) ).
fof(f726,plain,
( sK3(uri_ex_p) != sK3(uri_ex_p)
| ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl11_71 ),
inference(superposition,[],[f44,f695]) ).
fof(f727,plain,
( ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl11_71 ),
inference(trivial_inequality_removal,[],[f726]) ).
fof(f728,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl11_1
| ~ spl11_71 ),
inference(forward_subsumption_resolution,[],[f727,f73]) ).
fof(f736,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty)
| ~ spl11_1
| ~ spl11_71 ),
inference(resolution,[],[f728,f30]) ).
fof(f737,plain,
( $false
| ~ spl11_1
| ~ spl11_71 ),
inference(forward_subsumption_resolution,[],[f736,f51]) ).
fof(f738,plain,
( ~ spl11_1
| ~ spl11_71 ),
inference(avatar_contradiction_clause,[],[f737]) ).
cnf(s1,plain,
( ~ spl11_1
| spl11_2 ),
inference(sat_conversion,[],[f79]) ).
cnf(s7,plain,
spl11_1,
inference(sat_conversion,[],[f135]) ).
cnf(s45,plain,
spl11_62,
inference(sat_conversion,[],[f566]) ).
cnf(s53,plain,
( ~ spl11_2
| ~ spl11_62
| spl11_69 ),
inference(sat_conversion,[],[f675]) ).
cnf(s59,plain,
( ~ spl11_1
| ~ spl11_69
| spl11_71 ),
inference(sat_conversion,[],[f715]) ).
cnf(s60,plain,
( ~ spl11_1
| ~ spl11_71 ),
inference(sat_conversion,[],[f738]) ).
cnf(s65,plain,
~ spl11_71,
inference(rat,[],[s60,s7]) ).
cnf(s66,plain,
~ spl11_69,
inference(rat,[],[s59,s65,s7]) ).
cnf(s70,plain,
~ spl11_2,
inference(rat,[],[s53,s45,s66]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s1,s70,s7]) ).
fof(f740,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB027+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n026.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 07:08:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 0.77/0.93 % (3668821)Detected formulas, will run a generic FOF schedule.
% 0.77/0.93 % (3668831)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4102985686:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.77/0.93 % (3668830)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1278887668:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.77/0.93 % (3668826)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=2649243519:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.77/0.93 % (3668828)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=1042199737:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.77/0.93 % (3668832)dis-21_1_sil=8000:lcm=predicate:random_seed=3137959823: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)
% 0.77/0.93 % (3668829)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1988808040:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.77/0.93 % (3668827)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=3066681320:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.77/0.93 % (3668829)Refutation not found, incomplete strategy
% 0.77/0.93 % (3668829)------------------------------
% 0.77/0.93 % (3668829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/0.93 % (3668829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.93 % (3668829)CaDiCaL version: 2.1.3
% 0.77/0.93 % (3668829)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93 % (3668829)Time elapsed: 0.001 s
% 0.77/0.93 % (3668829)Peak memory usage: 88 MB
% 0.77/0.93 % (3668831)First to succeed.
% 0.77/0.93 % (3668831)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3668821"
% 0.77/0.93 % (3668830)Instruction limit reached!
% 0.77/0.93 % (3668830)------------------------------
% 0.77/0.93 % (3668830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/0.93 % (3668830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.93 % (3668830)CaDiCaL version: 2.1.3
% 0.77/0.93 % (3668830)Termination reason: Instruction limit
% 0.77/0.93 % (3668830)Termination phase: Saturation
% 0.77/0.93 % (3668830)Time elapsed: 0.068 s
% 0.77/0.93 % (3668830)Peak memory usage: 88 MB
% 0.77/0.93 % (3668830)Instructions burned: 120 (million)
% 0.77/0.93 % (3668832)Instruction limit reached!
% 0.77/0.93 % (3668832)------------------------------
% 0.77/0.93 % (3668832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/0.93 % (3668832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.93 % (3668832)CaDiCaL version: 2.1.3
% 0.77/0.93 % (3668832)Termination reason: Instruction limit
% 0.77/0.93 % (3668832)Termination phase: Saturation
% 0.77/0.93 % (3668832)Time elapsed: 0.070 s
% 0.77/0.93 % (3668832)Peak memory usage: 89 MB
% 0.77/0.93 % (3668832)Instructions burned: 129 (million)
% 0.77/0.93 % (3668831)Refutation found. Thanks to Tanya!
% 0.77/0.93 % SZS status Theorem for theBenchmark
% 0.77/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.13 % (3668831)------------------------------
% 2.57/1.13 % (3668831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.13 % (3668831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.13 % (3668831)CaDiCaL version: 2.1.3
% 2.57/1.13 % (3668831)Termination reason: Refutation
% 2.57/1.13 % (3668831)Time elapsed: 0.013 s
% 2.57/1.13 % (3668831)Peak memory usage: 90 MB
% 2.57/1.13 % (3668831)Instructions burned: 31 (million)
% 2.57/1.13 % (3668831)------------------------------
% 2.57/1.13 % (3668831)------------------------------
% 2.57/1.13 % (3668821)Success in time 0.313 s
% 2.70/1.13 % Vampire exiting
%------------------------------------------------------------------------------