%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB070+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 : n002.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 01:00:21 PM UTC 2026
% Result : Theorem 4.07s 1.53s
% Output : Refutation 5.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 221 ( 17 unt; 16 def)
% Number of atoms : 1124 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 1529 ( 626 ~; 764 |; 117 &)
% ( 18 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 16 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 13 con; 0-2 aty)
% Number of variables : 508 ( 0 sgn 449 !; 59 ?)
% 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(f353,axiom,
! [X0,X1] :
( iext(uri_owl_propertyDisjointWith,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
~ ( iext(X0,X2,X3)
& iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
fof(f381,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdf_first,X0,X1)
& iext(uri_rdf_rest,X0,X2)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& ! [X4,X5] :
~ ( iext(X1,X4,X5)
& iext(X3,X4,X5) ) )
=> ? [X6] :
( icext(uri_owl_AllDisjointProperties,X6)
& iext(uri_owl_members,X6,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_002) ).
fof(f382,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( iext(uri_rdf_first,X0,X1)
& iext(uri_rdf_rest,X0,X2)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& ! [X6,X7] :
~ ( iext(X1,X6,X7)
& iext(X3,X6,X7) )
& ! [X6,X7] :
~ ( iext(X1,X6,X7)
& iext(X5,X6,X7) )
& ! [X6,X7] :
~ ( iext(X3,X6,X7)
& iext(X5,X6,X7) ) )
=> ? [X8] :
( icext(uri_owl_AllDisjointProperties,X8)
& iext(uri_owl_members,X8,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_fi_003) ).
fof(f385,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)
& icext(uri_owl_AllDisjointProperties,X0)
& iext(uri_owl_members,X0,X1) )
=> ! [X5,X6] :
~ ( iext(X2,X5,X6)
& iext(X4,X5,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointproperties_if_002) ).
fof(f559,conjecture,
? [X0,X1,X2,X3] :
( iext(uri_rdf_first,X1,uri_ex_p2)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_p3)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_type,X3,uri_owl_AllDisjointProperties)
& iext(uri_owl_members,X3,X2)
& iext(uri_rdf_first,X2,uri_ex_p1)
& iext(uri_rdf_rest,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_ndis_alldisjointproperties_bw) ).
fof(f560,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( iext(uri_rdf_first,X1,uri_ex_p2)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_p3)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_type,X3,uri_owl_AllDisjointProperties)
& iext(uri_owl_members,X3,X2)
& iext(uri_rdf_first,X2,uri_ex_p1)
& iext(uri_rdf_rest,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2)
& iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p3)
& iext(uri_rdf_first,X1,uri_ex_p2)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_owl_propertyDisjointWith,uri_ex_p2,uri_ex_p3)
& iext(uri_rdf_first,X0,uri_ex_p1)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X2,uri_ex_p3)
& iext(uri_rdf_rest,X2,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_ndis_alldisjointproperties_bw) ).
fof(f563,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( iext(uri_rdf_first,X0,X1)
& iext(uri_rdf_rest,X0,X2)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& ! [X6,X7] :
~ ( iext(X1,X6,X7)
& iext(X3,X6,X7) )
& ! [X8,X9] :
~ ( iext(X1,X8,X9)
& iext(X5,X8,X9) )
& ! [X10,X11] :
~ ( iext(X3,X10,X11)
& iext(X5,X10,X11) ) )
=> ? [X12] :
( icext(uri_owl_AllDisjointProperties,X12)
& iext(uri_owl_members,X12,X0) ) ),
inference(rectify,[],[f382]) ).
fof(f574,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_first,X1,uri_ex_p2)
| ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_p3)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDisjointProperties)
| ~ iext(uri_owl_members,X3,X2)
| ~ iext(uri_rdf_first,X2,uri_ex_p1)
| ~ iext(uri_rdf_rest,X2,X1) ),
inference(ennf_transformation,[],[f560]) ).
fof(f577,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( ~ iext(X2,X5,X6)
| ~ iext(X4,X5,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)
| ~ icext(uri_owl_AllDisjointProperties,X0)
| ~ iext(uri_owl_members,X0,X1) ),
inference(ennf_transformation,[],[f385]) ).
fof(f578,plain,
! [X0,X1,X2,X3,X4] :
( ! [X5,X6] :
( ~ iext(X2,X5,X6)
| ~ iext(X4,X5,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)
| ~ icext(uri_owl_AllDisjointProperties,X0)
| ~ iext(uri_owl_members,X0,X1) ),
inference(flattening,[],[f577]) ).
fof(f579,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X12] :
( icext(uri_owl_AllDisjointProperties,X12)
& iext(uri_owl_members,X12,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ? [X6,X7] :
( iext(X1,X6,X7)
& iext(X3,X6,X7) )
| ? [X8,X9] :
( iext(X1,X8,X9)
& iext(X5,X8,X9) )
| ? [X10,X11] :
( iext(X3,X10,X11)
& iext(X5,X10,X11) ) ),
inference(ennf_transformation,[],[f563]) ).
fof(f580,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X12] :
( icext(uri_owl_AllDisjointProperties,X12)
& iext(uri_owl_members,X12,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ? [X6,X7] :
( iext(X1,X6,X7)
& iext(X3,X6,X7) )
| ? [X8,X9] :
( iext(X1,X8,X9)
& iext(X5,X8,X9) )
| ? [X10,X11] :
( iext(X3,X10,X11)
& iext(X5,X10,X11) ) ),
inference(flattening,[],[f579]) ).
fof(f581,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( icext(uri_owl_AllDisjointProperties,X6)
& iext(uri_owl_members,X6,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ? [X4,X5] :
( iext(X1,X4,X5)
& iext(X3,X4,X5) ) ),
inference(ennf_transformation,[],[f381]) ).
fof(f582,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( icext(uri_owl_AllDisjointProperties,X6)
& iext(uri_owl_members,X6,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ? [X4,X5] :
( iext(X1,X4,X5)
& iext(X3,X4,X5) ) ),
inference(flattening,[],[f581]) ).
fof(f586,plain,
! [X0,X1] :
( iext(uri_owl_propertyDisjointWith,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X1,X2,X3) ) ) ),
inference(ennf_transformation,[],[f353]) ).
fof(f588,definition,
! [X3,X5] :
( ? [X10,X11] :
( iext(X3,X10,X11)
& iext(X5,X10,X11) )
| ~ sP0(X3,X5) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f589,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X12] :
( icext(uri_owl_AllDisjointProperties,X12)
& iext(uri_owl_members,X12,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ? [X6,X7] :
( iext(X1,X6,X7)
& iext(X3,X6,X7) )
| ? [X8,X9] :
( iext(X1,X8,X9)
& iext(X5,X8,X9) )
| sP0(X3,X5) ),
inference(definition_folding,[],[f580,f588]) ).
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,
! [X3,X5] :
( ? [X10,X11] :
( iext(X3,X10,X11)
& iext(X5,X10,X11) )
| ~ sP0(X3,X5) ),
inference(nnf_transformation,[],[f588]) ).
fof(f592,plain,
! [X0,X1] :
( ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f591]) ).
fof(f593,plain,
! [X0,X1] :
( ( iext(X0,sK1(X0,X1),sK2(X0,X1))
& iext(X1,sK1(X0,X1),sK2(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f592]) ).
fof(f594,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( icext(uri_owl_AllDisjointProperties,X6)
& iext(uri_owl_members,X6,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ? [X7,X8] :
( iext(X1,X7,X8)
& iext(X3,X7,X8) )
| ? [X9,X10] :
( iext(X1,X9,X10)
& iext(X5,X9,X10) )
| sP0(X3,X5) ),
inference(rectify,[],[f589]) ).
fof(f595,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( icext(uri_owl_AllDisjointProperties,sK3(X0))
& iext(uri_owl_members,sK3(X0),X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ( iext(X1,sK4(X1,X3),sK5(X1,X3))
& iext(X3,sK4(X1,X3),sK5(X1,X3)) )
| ( iext(X1,sK6(X1,X5),sK7(X1,X5))
& iext(X5,sK6(X1,X5),sK7(X1,X5)) )
| sP0(X3,X5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7]),skolemize(X6,sK3(X0)),skolemize(X7,sK4(X1,X3)),skolemize(X8,sK5(X1,X3)),skolemize(X9,sK6(X1,X5)),skolemize(X10,sK7(X1,X5))],[f594]) ).
fof(f596,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( icext(uri_owl_AllDisjointProperties,X4)
& iext(uri_owl_members,X4,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ? [X5,X6] :
( iext(X1,X5,X6)
& iext(X3,X5,X6) ) ),
inference(rectify,[],[f582]) ).
fof(f597,plain,
! [X0,X1,X2,X3] :
( ( icext(uri_owl_AllDisjointProperties,sK8(X0))
& iext(uri_owl_members,sK8(X0),X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ( iext(X1,sK9(X1,X3),sK10(X1,X3))
& iext(X3,sK9(X1,X3),sK10(X1,X3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X4,sK8(X0)),skolemize(X5,sK9(X1,X3)),skolemize(X6,sK10(X1,X3))],[f596]) ).
fof(f600,plain,
( iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2)
& iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p3)
& iext(uri_rdf_first,sK14,uri_ex_p2)
& iext(uri_rdf_rest,sK14,sK15)
& iext(uri_owl_propertyDisjointWith,uri_ex_p2,uri_ex_p3)
& iext(uri_rdf_first,sK13,uri_ex_p1)
& iext(uri_rdf_rest,sK13,sK14)
& iext(uri_rdf_first,sK15,uri_ex_p3)
& iext(uri_rdf_rest,sK15,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f561]) ).
fof(f601,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X1,X2,X3) ) )
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f586]) ).
fof(f602,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X1,X2,X3) ) )
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(flattening,[],[f601]) ).
fof(f603,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ~ iext(X0,X4,X5)
| ~ iext(X1,X4,X5) ) )
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(rectify,[],[f602]) ).
fof(f604,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( iext(X0,sK16(X0,X1),sK17(X0,X1))
& iext(X1,sK16(X0,X1),sK17(X0,X1)) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ~ iext(X0,X4,X5)
| ~ iext(X1,X4,X5) ) )
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X2,sK16(X0,X1)),skolemize(X3,sK17(X0,X1))],[f603]) ).
fof(f605,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_members,X3,X2)
| ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_p3)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDisjointProperties)
| ~ iext(uri_rdf_first,X1,uri_ex_p2)
| ~ iext(uri_rdf_first,X2,uri_ex_p1)
| ~ iext(uri_rdf_rest,X2,X1) ),
inference(cnf_transformation,[],[f574]) ).
fof(f607,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f590]) ).
fof(f611,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_owl_members,X0,X1)
| ~ iext(X4,X5,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)
| ~ icext(uri_owl_AllDisjointProperties,X0)
| ~ iext(X2,X5,X6) ),
inference(cnf_transformation,[],[f578]) ).
fof(f612,plain,
! [X0,X1] :
( iext(X1,sK1(X0,X1),sK2(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f593]) ).
fof(f613,plain,
! [X0,X1] :
( iext(X0,sK1(X0,X1),sK2(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f593]) ).
fof(f614,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X3,sK4(X1,X3),sK5(X1,X3))
| iext(X5,sK6(X1,X5),sK7(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f595]) ).
fof(f615,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X3,sK4(X1,X3),sK5(X1,X3))
| iext(X1,sK6(X1,X5),sK7(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f595]) ).
fof(f616,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X1,sK4(X1,X3),sK5(X1,X3))
| iext(X5,sK6(X1,X5),sK7(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f595]) ).
fof(f617,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X1,sK4(X1,X3),sK5(X1,X3))
| iext(X1,sK6(X1,X5),sK7(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f595]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X3,sK4(X1,X3),sK5(X1,X3))
| iext(X5,sK6(X1,X5),sK7(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f595]) ).
fof(f619,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X3,sK4(X1,X3),sK5(X1,X3))
| iext(X1,sK6(X1,X5),sK7(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f595]) ).
fof(f620,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X1,sK4(X1,X3),sK5(X1,X3))
| iext(X5,sK6(X1,X5),sK7(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f595]) ).
fof(f621,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X1,sK4(X1,X3),sK5(X1,X3))
| iext(X1,sK6(X1,X5),sK7(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f595]) ).
fof(f622,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| iext(uri_owl_members,sK8(X0),X0)
| iext(X3,sK9(X1,X3),sK10(X1,X3)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f623,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| iext(uri_owl_members,sK8(X0),X0)
| iext(X1,sK9(X1,X3),sK10(X1,X3)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f624,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| icext(uri_owl_AllDisjointProperties,sK8(X0))
| iext(X3,sK9(X1,X3),sK10(X1,X3)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f625,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| icext(uri_owl_AllDisjointProperties,sK8(X0))
| iext(X1,sK9(X1,X3),sK10(X1,X3)) ),
inference(cnf_transformation,[],[f597]) ).
fof(f631,plain,
iext(uri_rdf_rest,sK15,uri_rdf_nil),
inference(cnf_transformation,[],[f600]) ).
fof(f632,plain,
iext(uri_rdf_first,sK15,uri_ex_p3),
inference(cnf_transformation,[],[f600]) ).
fof(f633,plain,
iext(uri_rdf_rest,sK13,sK14),
inference(cnf_transformation,[],[f600]) ).
fof(f634,plain,
iext(uri_rdf_first,sK13,uri_ex_p1),
inference(cnf_transformation,[],[f600]) ).
fof(f635,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_p2,uri_ex_p3),
inference(cnf_transformation,[],[f600]) ).
fof(f636,plain,
iext(uri_rdf_rest,sK14,sK15),
inference(cnf_transformation,[],[f600]) ).
fof(f637,plain,
iext(uri_rdf_first,sK14,uri_ex_p2),
inference(cnf_transformation,[],[f600]) ).
fof(f638,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p3),
inference(cnf_transformation,[],[f600]) ).
fof(f639,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_p1,uri_ex_p2),
inference(cnf_transformation,[],[f600]) ).
fof(f641,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f604]) ).
fof(f707,plain,
! [X0,X1] :
( ~ iext(uri_ex_p1,X0,X1)
| ~ iext(uri_ex_p2,X0,X1) ),
inference(resolution,[],[f641,f639]) ).
fof(f708,plain,
! [X0,X1] :
( ~ iext(uri_ex_p3,X0,X1)
| ~ iext(uri_ex_p2,X0,X1) ),
inference(resolution,[],[f641,f635]) ).
fof(f709,plain,
! [X0,X1] :
( ~ iext(uri_ex_p1,X0,X1)
| ~ iext(uri_ex_p3,X0,X1) ),
inference(resolution,[],[f641,f638]) ).
fof(f742,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| icext(uri_owl_AllDisjointProperties,sK8(X0))
| iext(X2,sK9(X1,X2),sK10(X1,X2)) ),
inference(resolution,[],[f624,f631]) ).
fof(f743,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| icext(uri_owl_AllDisjointProperties,sK8(X0))
| iext(X1,sK9(X1,X2),sK10(X1,X2)) ),
inference(resolution,[],[f625,f631]) ).
fof(f744,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(uri_owl_members,sK8(X0),X0)
| iext(X2,sK9(X1,X2),sK10(X1,X2)) ),
inference(resolution,[],[f622,f631]) ).
fof(f759,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK15)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(uri_owl_members,sK8(X0),X0)
| iext(X1,sK9(X1,X2),sK10(X1,X2)) ),
inference(resolution,[],[f623,f631]) ).
fof(f809,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK15)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X4)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X3,sK4(X1,X3),sK5(X1,X3))
| iext(X4,sK6(X1,X4),sK7(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f618,f631]) ).
fof(f810,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK15)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X4)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X3,sK4(X1,X3),sK5(X1,X3))
| iext(X1,sK6(X1,X4),sK7(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f619,f631]) ).
fof(f817,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK15)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X4)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X1,sK4(X1,X3),sK5(X1,X3))
| iext(X4,sK6(X1,X4),sK7(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f620,f631]) ).
fof(f824,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK15)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X4)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X1,sK4(X1,X3),sK5(X1,X3))
| iext(X1,sK6(X1,X4),sK7(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f621,f631]) ).
fof(f831,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK15)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X4)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X3,sK4(X1,X3),sK5(X1,X3))
| iext(X4,sK6(X1,X4),sK7(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f614,f631]) ).
fof(f832,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK15)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X4)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X3,sK4(X1,X3),sK5(X1,X3))
| iext(X1,sK6(X1,X4),sK7(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f615,f631]) ).
fof(f833,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK15)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X4)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X1,sK4(X1,X3),sK5(X1,X3))
| iext(X4,sK6(X1,X4),sK7(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f616,f631]) ).
fof(f834,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK15)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK15,X4)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X1,sK4(X1,X3),sK5(X1,X3))
| iext(X1,sK6(X1,X4),sK7(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f617,f631]) ).
fof(f865,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| icext(uri_owl_AllDisjointProperties,sK8(sK14))
| iext(X1,sK9(X0,X1),sK10(X0,X1)) ),
inference(resolution,[],[f742,f636]) ).
fof(f867,definition,
( spl18_15
<=> icext(uri_owl_AllDisjointProperties,sK8(sK14)) ),
introduced(definition,[new_symbols(definition,[spl18_15])],[avatar_definition]) ).
fof(f868,plain,
( ~ icext(uri_owl_AllDisjointProperties,sK8(sK14))
| spl18_15 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f869,plain,
( icext(uri_owl_AllDisjointProperties,sK8(sK14))
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f871,definition,
( spl18_16
<=> ! [X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| iext(X1,sK9(X0,X1),sK10(X0,X1))
| ~ iext(uri_rdf_first,sK15,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_16])],[avatar_definition]) ).
fof(f872,plain,
( ! [X0,X1] :
( iext(X1,sK9(X0,X1),sK10(X0,X1))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1) )
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f873,plain,
( spl18_15
| spl18_16 ),
inference(avatar_split_clause,[],[f865,f871,f867]) ).
fof(f874,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| icext(uri_owl_AllDisjointProperties,sK8(sK14))
| iext(X0,sK9(X0,X1),sK10(X0,X1)) ),
inference(resolution,[],[f743,f636]) ).
fof(f877,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| iext(uri_owl_members,sK8(sK14),sK14)
| iext(X1,sK9(X0,X1),sK10(X0,X1)) ),
inference(resolution,[],[f744,f636]) ).
fof(f879,definition,
( spl18_17
<=> iext(uri_owl_members,sK8(sK14),sK14) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f881,plain,
( iext(uri_owl_members,sK8(sK14),sK14)
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f882,plain,
( spl18_17
| spl18_16 ),
inference(avatar_split_clause,[],[f877,f871,f879]) ).
fof(f885,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| iext(uri_owl_members,sK8(sK14),sK14)
| iext(X0,sK9(X0,X1),sK10(X0,X1)) ),
inference(resolution,[],[f759,f636]) ).
fof(f887,definition,
( spl18_18
<=> ! [X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| iext(X0,sK9(X0,X1),sK10(X0,X1))
| ~ iext(uri_rdf_first,sK15,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_18])],[avatar_definition]) ).
fof(f888,plain,
( ! [X0,X1] :
( iext(X0,sK9(X0,X1),sK10(X0,X1))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1) )
| ~ spl18_18 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f889,plain,
( spl18_17
| spl18_18 ),
inference(avatar_split_clause,[],[f885,f887,f879]) ).
fof(f919,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| iext(X0,sK9(X0,X1),sK10(X0,X1)) )
| spl18_15 ),
inference(forward_subsumption_resolution,[],[f874,f868]) ).
fof(f920,plain,
( spl18_18
| spl18_15 ),
inference(avatar_split_clause,[],[f919,f867,f887]) ).
fof(f926,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X1,sK4(X2,X1),sK5(X2,X1))
| iext(X3,sK6(X2,X3),sK7(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f809,f636]) ).
fof(f927,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X1,sK4(X2,X1),sK5(X2,X1))
| iext(X2,sK6(X2,X3),sK7(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f810,f636]) ).
fof(f930,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X2,sK4(X2,X1),sK5(X2,X1))
| iext(X3,sK6(X2,X3),sK7(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f817,f636]) ).
fof(f931,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| icext(uri_owl_AllDisjointProperties,sK3(X0))
| iext(X2,sK4(X2,X1),sK5(X2,X1))
| iext(X2,sK6(X2,X3),sK7(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f824,f636]) ).
fof(f954,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X1,sK4(X2,X1),sK5(X2,X1))
| iext(X3,sK6(X2,X3),sK7(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f831,f636]) ).
fof(f959,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X1,sK4(X2,X1),sK5(X2,X1))
| iext(X2,sK6(X2,X3),sK7(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f832,f636]) ).
fof(f964,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X2,sK4(X2,X1),sK5(X2,X1))
| iext(X3,sK6(X2,X3),sK7(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f833,f636]) ).
fof(f975,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,uri_ex_p3)
| ~ iext(uri_ex_p2,sK9(X0,uri_ex_p3),sK10(X0,uri_ex_p3)) )
| ~ spl18_16 ),
inference(resolution,[],[f872,f708]) ).
fof(f982,plain,
( ! [X0] :
( ~ iext(uri_ex_p2,sK9(X0,uri_ex_p3),sK10(X0,uri_ex_p3))
| ~ iext(uri_rdf_first,sK14,X0) )
| ~ spl18_16 ),
inference(forward_subsumption_resolution,[],[f975,f632]) ).
fof(f1035,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK15,X3)
| iext(uri_owl_members,sK3(X0),X0)
| iext(X2,sK4(X2,X1),sK5(X2,X1))
| iext(X2,sK6(X2,X3),sK7(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f834,f636]) ).
fof(f1047,plain,
( ~ iext(uri_rdf_first,sK14,uri_ex_p2)
| ~ iext(uri_rdf_first,sK15,uri_ex_p3)
| ~ iext(uri_rdf_first,sK14,uri_ex_p2)
| ~ spl18_16
| ~ spl18_18 ),
inference(resolution,[],[f888,f982]) ).
fof(f1055,plain,
( ~ iext(uri_rdf_first,sK14,uri_ex_p2)
| ~ iext(uri_rdf_first,sK15,uri_ex_p3)
| ~ spl18_16
| ~ spl18_18 ),
inference(duplicate_literal_removal,[],[f1047]) ).
fof(f1072,plain,
( ~ iext(uri_rdf_first,sK15,uri_ex_p3)
| ~ spl18_16
| ~ spl18_18 ),
inference(forward_subsumption_resolution,[],[f1055,f637]) ).
fof(f1125,plain,
( $false
| ~ spl18_16
| ~ spl18_18 ),
inference(forward_subsumption_resolution,[],[f1072,f632]) ).
fof(f1126,plain,
( ~ spl18_16
| ~ spl18_18 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1130,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_rest,sK14,X4)
| ~ iext(uri_rdf_first,X4,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ icext(uri_owl_AllDisjointProperties,sK8(sK14))
| ~ iext(X3,X1,X2) )
| ~ spl18_17 ),
inference(resolution,[],[f881,f611]) ).
fof(f1133,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,sK14,X4)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,X4,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(X3,X1,X2) )
| ~ spl18_15
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f1130,f869]) ).
fof(f1212,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_rest,sK15,uri_rdf_nil)
| ~ iext(X0,X2,X3) )
| ~ spl18_15
| ~ spl18_17 ),
inference(resolution,[],[f1133,f636]) ).
fof(f1213,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(X0,X2,X3) )
| ~ spl18_15
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f1212,f631]) ).
fof(f1215,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_ex_p3,X0,X1)
| ~ iext(uri_rdf_first,sK14,X2)
| ~ iext(X2,X0,X1) )
| ~ spl18_15
| ~ spl18_17 ),
inference(resolution,[],[f1213,f632]) ).
fof(f1216,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| icext(uri_owl_AllDisjointProperties,sK3(sK13))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f926,f633]) ).
fof(f1218,definition,
( spl18_54
<=> icext(uri_owl_AllDisjointProperties,sK3(sK13)) ),
introduced(definition,[new_symbols(definition,[spl18_54])],[avatar_definition]) ).
fof(f1220,plain,
( icext(uri_owl_AllDisjointProperties,sK3(sK13))
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1222,definition,
( spl18_55
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| sP0(X0,X2)
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,sK13,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_55])],[avatar_definition]) ).
fof(f1223,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK15,X2)
| sP0(X0,X2)
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_55 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f1224,plain,
( spl18_54
| spl18_55 ),
inference(avatar_split_clause,[],[f1216,f1222,f1218]) ).
fof(f1225,plain,
( ! [X0,X1] :
( ~ iext(X0,sK1(X1,uri_ex_p3),sK2(X1,uri_ex_p3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ sP0(X1,uri_ex_p3) )
| ~ spl18_15
| ~ spl18_17 ),
inference(resolution,[],[f1215,f612]) ).
fof(f1232,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| icext(uri_owl_AllDisjointProperties,sK3(sK13))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f927,f633]) ).
fof(f1234,definition,
( spl18_56
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| sP0(X0,X2)
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,sK13,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_56])],[avatar_definition]) ).
fof(f1235,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK15,X2)
| sP0(X0,X2)
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_56 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1236,plain,
( spl18_54
| spl18_56 ),
inference(avatar_split_clause,[],[f1232,f1234,f1218]) ).
fof(f1238,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ sP0(X0,uri_ex_p3)
| ~ sP0(X0,uri_ex_p3) )
| ~ spl18_15
| ~ spl18_17 ),
inference(resolution,[],[f1225,f613]) ).
fof(f1240,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ sP0(X0,uri_ex_p3) )
| ~ spl18_15
| ~ spl18_17 ),
inference(duplicate_literal_removal,[],[f1238]) ).
fof(f1242,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| icext(uri_owl_AllDisjointProperties,sK3(sK13))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f930,f633]) ).
fof(f1244,definition,
( spl18_57
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| sP0(X0,X2)
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,sK13,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_57])],[avatar_definition]) ).
fof(f1245,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK15,X2)
| sP0(X0,X2)
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_57 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1246,plain,
( spl18_54
| spl18_57 ),
inference(avatar_split_clause,[],[f1242,f1244,f1218]) ).
fof(f1248,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| icext(uri_owl_AllDisjointProperties,sK3(sK13))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f931,f633]) ).
fof(f1250,definition,
( spl18_58
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| sP0(X0,X2)
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,sK13,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_58])],[avatar_definition]) ).
fof(f1251,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK15,X2)
| sP0(X0,X2)
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_58 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1252,plain,
( spl18_54
| spl18_58 ),
inference(avatar_split_clause,[],[f1248,f1250,f1218]) ).
fof(f1258,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(uri_owl_members,sK3(sK13),sK13)
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f954,f633]) ).
fof(f1260,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(uri_owl_members,sK3(sK13),sK13)
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f959,f633]) ).
fof(f1270,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(uri_owl_members,sK3(sK13),sK13)
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f964,f633]) ).
fof(f1272,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(uri_owl_members,sK3(sK13),sK13)
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f1035,f633]) ).
fof(f1284,plain,
( ! [X0,X1] :
( sP0(X0,uri_ex_p3)
| iext(uri_ex_p3,sK6(X1,uri_ex_p3),sK7(X1,uri_ex_p3))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_55 ),
inference(resolution,[],[f1223,f632]) ).
fof(f1285,plain,
( ! [X0,X1] :
( iext(uri_ex_p3,sK6(X1,uri_ex_p3),sK7(X1,uri_ex_p3))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_55 ),
inference(forward_subsumption_resolution,[],[f1284,f1240]) ).
fof(f1296,plain,
( ! [X0,X1] :
( sP0(X0,uri_ex_p3)
| iext(X1,sK6(X1,uri_ex_p3),sK7(X1,uri_ex_p3))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_56 ),
inference(resolution,[],[f1235,f632]) ).
fof(f1297,plain,
( ! [X0,X1] :
( iext(X1,sK6(X1,uri_ex_p3),sK7(X1,uri_ex_p3))
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_56 ),
inference(forward_subsumption_resolution,[],[f1296,f1240]) ).
fof(f1310,plain,
( ! [X0] :
( iext(X0,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,uri_ex_p1)
| ~ iext(uri_ex_p3,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3)) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_56 ),
inference(resolution,[],[f1297,f709]) ).
fof(f1334,plain,
( ! [X0] :
( iext(X0,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,uri_ex_p1) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_55
| ~ spl18_56 ),
inference(forward_subsumption_resolution,[],[f1310,f1285]) ).
fof(f1410,plain,
( ! [X0] :
( iext(X0,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0))
| ~ iext(uri_rdf_first,sK14,X0) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_55
| ~ spl18_56 ),
inference(forward_subsumption_resolution,[],[f1334,f634]) ).
fof(f1411,plain,
( ! [X0,X1] :
( sP0(X0,uri_ex_p3)
| iext(uri_ex_p3,sK6(X1,uri_ex_p3),sK7(X1,uri_ex_p3))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_57 ),
inference(resolution,[],[f1245,f632]) ).
fof(f1412,plain,
( ! [X0,X1] :
( iext(uri_ex_p3,sK6(X1,uri_ex_p3),sK7(X1,uri_ex_p3))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_57 ),
inference(forward_subsumption_resolution,[],[f1411,f1240]) ).
fof(f1413,plain,
( ! [X0,X1] :
( sP0(X0,uri_ex_p3)
| iext(X1,sK6(X1,uri_ex_p3),sK7(X1,uri_ex_p3))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_58 ),
inference(resolution,[],[f1251,f632]) ).
fof(f1414,plain,
( ! [X0,X1] :
( iext(X1,sK6(X1,uri_ex_p3),sK7(X1,uri_ex_p3))
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_58 ),
inference(forward_subsumption_resolution,[],[f1413,f1240]) ).
fof(f1455,plain,
( ! [X0] :
( iext(uri_ex_p3,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,uri_ex_p1)
| ~ iext(uri_ex_p2,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0)) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_57 ),
inference(resolution,[],[f1412,f707]) ).
fof(f1460,plain,
( ! [X0] :
( iext(uri_ex_p3,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_ex_p2,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0)) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_57 ),
inference(forward_subsumption_resolution,[],[f1455,f634]) ).
fof(f1483,definition,
( spl18_84
<=> ! [X0] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_ex_p2,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl18_84])],[avatar_definition]) ).
fof(f1484,plain,
( ! [X0] :
( ~ iext(uri_ex_p2,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0))
| ~ iext(uri_rdf_first,sK14,X0) )
| ~ spl18_84 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1486,definition,
( spl18_85
<=> iext(uri_ex_p3,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3)) ),
introduced(definition,[new_symbols(definition,[spl18_85])],[avatar_definition]) ).
fof(f1488,plain,
( iext(uri_ex_p3,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3))
| ~ spl18_85 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1525,plain,
( ! [X0] :
( iext(uri_ex_p1,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,uri_ex_p1)
| ~ iext(uri_ex_p2,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0)) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_58 ),
inference(resolution,[],[f1414,f707]) ).
fof(f1541,plain,
( ~ iext(uri_rdf_first,sK14,uri_ex_p2)
| ~ iext(uri_rdf_first,sK14,uri_ex_p2)
| ~ spl18_15
| ~ spl18_17
| ~ spl18_55
| ~ spl18_56
| ~ spl18_84 ),
inference(resolution,[],[f1484,f1410]) ).
fof(f1542,plain,
( ~ iext(uri_rdf_first,sK14,uri_ex_p2)
| ~ spl18_15
| ~ spl18_17
| ~ spl18_55
| ~ spl18_56
| ~ spl18_84 ),
inference(duplicate_literal_removal,[],[f1541]) ).
fof(f1543,plain,
( $false
| ~ spl18_15
| ~ spl18_17
| ~ spl18_55
| ~ spl18_56
| ~ spl18_84 ),
inference(forward_subsumption_resolution,[],[f1542,f637]) ).
fof(f1544,plain,
( ~ spl18_15
| ~ spl18_17
| ~ spl18_55
| ~ spl18_56
| ~ spl18_84 ),
inference(avatar_contradiction_clause,[],[f1543]) ).
fof(f1545,plain,
( ! [X0] :
( iext(uri_ex_p1,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_ex_p2,sK4(uri_ex_p1,X0),sK5(uri_ex_p1,X0)) )
| ~ spl18_15
| ~ spl18_17
| ~ spl18_58 ),
inference(forward_subsumption_resolution,[],[f1525,f634]) ).
fof(f1547,definition,
( spl18_88
<=> iext(uri_ex_p1,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3)) ),
introduced(definition,[new_symbols(definition,[spl18_88])],[avatar_definition]) ).
fof(f1549,plain,
( iext(uri_ex_p1,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3))
| ~ spl18_88 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1554,plain,
( ~ iext(uri_ex_p3,sK6(uri_ex_p1,uri_ex_p3),sK7(uri_ex_p1,uri_ex_p3))
| ~ spl18_88 ),
inference(resolution,[],[f1549,f709]) ).
fof(f1557,plain,
( $false
| ~ spl18_85
| ~ spl18_88 ),
inference(forward_subsumption_resolution,[],[f1554,f1488]) ).
fof(f1558,plain,
( ~ spl18_85
| ~ spl18_88 ),
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1560,definition,
( spl18_89
<=> iext(uri_owl_members,sK3(sK13),sK13) ),
introduced(definition,[new_symbols(definition,[spl18_89])],[avatar_definition]) ).
fof(f1561,plain,
( ~ iext(uri_owl_members,sK3(sK13),sK13)
| spl18_89 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1562,plain,
( iext(uri_owl_members,sK3(sK13),sK13)
| ~ spl18_89 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1563,plain,
( spl18_89
| spl18_57 ),
inference(avatar_split_clause,[],[f1270,f1244,f1560]) ).
fof(f1568,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_p3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_type,sK3(sK13),uri_owl_AllDisjointProperties)
| ~ iext(uri_rdf_first,X0,uri_ex_p2)
| ~ iext(uri_rdf_first,sK13,uri_ex_p1)
| ~ iext(uri_rdf_rest,sK13,X0) )
| ~ spl18_89 ),
inference(resolution,[],[f1562,f605]) ).
fof(f1570,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_p3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_type,sK3(sK13),uri_owl_AllDisjointProperties)
| ~ iext(uri_rdf_first,X0,uri_ex_p2)
| ~ iext(uri_rdf_rest,sK13,X0) )
| ~ spl18_89 ),
inference(forward_subsumption_resolution,[],[f1568,f634]) ).
fof(f1576,definition,
( spl18_90
<=> iext(uri_rdf_type,sK3(sK13),uri_owl_AllDisjointProperties) ),
introduced(definition,[new_symbols(definition,[spl18_90])],[avatar_definition]) ).
fof(f1578,plain,
( ~ iext(uri_rdf_type,sK3(sK13),uri_owl_AllDisjointProperties)
| spl18_90 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f1580,definition,
( spl18_91
<=> ! [X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_rest,sK13,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_p2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_p3) ) ),
introduced(definition,[new_symbols(definition,[spl18_91])],[avatar_definition]) ).
fof(f1581,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,sK13,X0)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_p2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_p3) )
| ~ spl18_91 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1582,plain,
( ~ spl18_90
| spl18_91
| ~ spl18_89 ),
inference(avatar_split_clause,[],[f1570,f1560,f1580,f1576]) ).
fof(f1590,plain,
( ~ icext(uri_owl_AllDisjointProperties,sK3(sK13))
| spl18_90 ),
inference(resolution,[],[f1578,f607]) ).
fof(f1591,plain,
( $false
| ~ spl18_54
| spl18_90 ),
inference(forward_subsumption_resolution,[],[f1590,f1220]) ).
fof(f1592,plain,
( ~ spl18_54
| spl18_90 ),
inference(avatar_contradiction_clause,[],[f1591]) ).
fof(f1595,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK14,X0)
| ~ iext(uri_rdf_first,sK14,uri_ex_p2)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_p3) )
| ~ spl18_91 ),
inference(resolution,[],[f1581,f633]) ).
fof(f1596,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK14,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_p3) )
| ~ spl18_91 ),
inference(forward_subsumption_resolution,[],[f1595,f637]) ).
fof(f1597,plain,
( ~ iext(uri_rdf_rest,sK15,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK15,uri_ex_p3)
| ~ spl18_91 ),
inference(resolution,[],[f1596,f636]) ).
fof(f1598,plain,
( ~ iext(uri_rdf_first,sK15,uri_ex_p3)
| ~ spl18_91 ),
inference(forward_subsumption_resolution,[],[f1597,f631]) ).
fof(f1599,plain,
( $false
| ~ spl18_91 ),
inference(forward_subsumption_resolution,[],[f1598,f632]) ).
fof(f1600,plain,
~ spl18_91,
inference(avatar_contradiction_clause,[],[f1599]) ).
fof(f1602,plain,
( spl18_84
| spl18_85
| ~ spl18_15
| ~ spl18_17
| ~ spl18_57 ),
inference(avatar_split_clause,[],[f1460,f1244,f879,f867,f1486,f1483]) ).
fof(f1605,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(X1,sK4(X1,X0),sK5(X1,X0))
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) )
| spl18_89 ),
inference(forward_subsumption_resolution,[],[f1272,f1561]) ).
fof(f1606,plain,
( spl18_58
| spl18_89 ),
inference(avatar_split_clause,[],[f1605,f1560,f1250]) ).
fof(f1608,plain,
( spl18_84
| spl18_88
| ~ spl18_15
| ~ spl18_17
| ~ spl18_58 ),
inference(avatar_split_clause,[],[f1545,f1250,f879,f867,f1547,f1483]) ).
fof(f1610,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| iext(X2,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) )
| spl18_89 ),
inference(forward_subsumption_resolution,[],[f1258,f1561]) ).
fof(f1612,plain,
( spl18_55
| spl18_89 ),
inference(avatar_split_clause,[],[f1610,f1560,f1222]) ).
fof(f1622,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK13,X1)
| ~ iext(uri_rdf_first,sK15,X2)
| iext(X0,sK4(X1,X0),sK5(X1,X0))
| iext(X1,sK6(X1,X2),sK7(X1,X2))
| sP0(X0,X2) )
| spl18_89 ),
inference(forward_subsumption_resolution,[],[f1260,f1561]) ).
fof(f1623,plain,
( spl18_56
| spl18_89 ),
inference(avatar_split_clause,[],[f1622,f1560,f1234]) ).
cnf(s9,plain,
( spl18_15
| spl18_16 ),
inference(sat_conversion,[],[f873]) ).
cnf(s10,plain,
( spl18_16
| spl18_17 ),
inference(sat_conversion,[],[f882]) ).
cnf(s11,plain,
( spl18_17
| spl18_18 ),
inference(sat_conversion,[],[f889]) ).
cnf(s14,plain,
( spl18_15
| spl18_18 ),
inference(sat_conversion,[],[f920]) ).
cnf(s40,plain,
( ~ spl18_16
| ~ spl18_18 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s41,plain,
( spl18_54
| spl18_55 ),
inference(sat_conversion,[],[f1224]) ).
cnf(s42,plain,
( spl18_54
| spl18_56 ),
inference(sat_conversion,[],[f1236]) ).
cnf(s43,plain,
( spl18_54
| spl18_57 ),
inference(sat_conversion,[],[f1246]) ).
cnf(s44,plain,
( spl18_54
| spl18_58 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s62,plain,
( ~ spl18_15
| ~ spl18_17
| ~ spl18_55
| ~ spl18_56
| ~ spl18_84 ),
inference(sat_conversion,[],[f1544]) ).
cnf(s64,plain,
( ~ spl18_85
| ~ spl18_88 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s65,plain,
( spl18_57
| spl18_89 ),
inference(sat_conversion,[],[f1563]) ).
cnf(s66,plain,
( ~ spl18_89
| ~ spl18_90
| spl18_91 ),
inference(sat_conversion,[],[f1582]) ).
cnf(s68,plain,
( ~ spl18_54
| spl18_90 ),
inference(sat_conversion,[],[f1592]) ).
cnf(s69,plain,
~ spl18_91,
inference(sat_conversion,[],[f1600]) ).
cnf(s70,plain,
( ~ spl18_15
| ~ spl18_17
| ~ spl18_57
| spl18_84
| spl18_85 ),
inference(sat_conversion,[],[f1602]) ).
cnf(s72,plain,
( spl18_58
| spl18_89 ),
inference(sat_conversion,[],[f1606]) ).
cnf(s73,plain,
( ~ spl18_15
| ~ spl18_17
| ~ spl18_58
| spl18_84
| spl18_88 ),
inference(sat_conversion,[],[f1608]) ).
cnf(s74,plain,
( spl18_55
| spl18_89 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s76,plain,
( spl18_56
| spl18_89 ),
inference(sat_conversion,[],[f1623]) ).
cnf(s78,plain,
( ~ spl18_89
| ~ spl18_90 ),
inference(rat,[],[s66,s69]) ).
cnf(s82,plain,
spl18_15,
inference(rat,[],[s40,s9,s14]) ).
cnf(s84,plain,
( spl18_54
| ~ spl18_17 ),
inference(rat,[],[s64,s70,s73,s62,s41,s42,s43,s44,s82]) ).
cnf(s85,plain,
~ spl18_17,
inference(rat,[],[s64,s70,s73,s62,s65,s72,s74,s76,s78,s68,s84,s82]) ).
cnf(s86,plain,
spl18_18,
inference(rat,[],[s11,s85]) ).
cnf(s87,plain,
spl18_16,
inference(rat,[],[s10,s85]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s40,s86,s87]) ).
fof(f1624,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB070+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 07:18:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 4.07/1.53 % (180383)Detected formulas, will run a generic FOF schedule.
% 4.07/1.53 % (180389)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=3047821673:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.07/1.53 % (180388)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=1759635842:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.07/1.53 % (180391)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1334290975:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.07/1.53 % (180392)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=695155655:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.07/1.53 % (180393)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4253914822:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.07/1.53 % (180390)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=2355309890:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.07/1.53 % (180394)dis-21_1_sil=8000:lcm=predicate:random_seed=1785485736: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)
% 4.07/1.53 % (180391)Instruction limit reached!
% 4.07/1.53 % (180391)------------------------------
% 4.07/1.53 % (180391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.53 % (180391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.53 % (180391)CaDiCaL version: 2.1.3
% 4.07/1.53 % (180391)Termination reason: Instruction limit
% 4.07/1.53 % (180391)Termination phase: Saturation
% 4.07/1.53 % (180391)Time elapsed: 0.056 s
% 4.07/1.53 % (180391)Peak memory usage: 89 MB
% 4.07/1.53 % (180391)Instructions burned: 111 (million)
% 4.07/1.53 % (180392)Instruction limit reached!
% 4.07/1.53 % (180392)------------------------------
% 4.07/1.53 % (180392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.53 % (180392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.53 % (180392)CaDiCaL version: 2.1.3
% 4.07/1.53 % (180392)Termination reason: Instruction limit
% 4.07/1.53 % (180392)Termination phase: Saturation
% 4.07/1.53 % (180392)Time elapsed: 0.063 s
% 4.07/1.53 % (180392)Peak memory usage: 88 MB
% 4.07/1.53 % (180392)Instructions burned: 119 (million)
% 4.07/1.53 % (180394)Instruction limit reached!
% 4.07/1.53 % (180394)------------------------------
% 4.07/1.53 % (180394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.53 % (180394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.53 % (180394)CaDiCaL version: 2.1.3
% 4.07/1.53 % (180394)Termination reason: Instruction limit
% 4.07/1.53 % (180394)Termination phase: Saturation
% 4.07/1.53 % (180394)Time elapsed: 0.068 s
% 4.07/1.53 % (180394)Peak memory usage: 91 MB
% 4.07/1.53 % (180394)Instructions burned: 132 (million)
% 4.07/1.53 % (180393)Instruction limit reached!
% 4.07/1.53 % (180393)------------------------------
% 4.07/1.53 % (180393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.53 % (180393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.53 % (180393)CaDiCaL version: 2.1.3
% 4.07/1.53 % (180393)Termination reason: Instruction limit
% 4.07/1.53 % (180393)Termination phase: Saturation
% 4.07/1.53 % (180393)Time elapsed: 0.079 s
% 4.07/1.53 % (180393)Peak memory usage: 91 MB
% 4.07/1.53 % (180393)Instructions burned: 141 (million)
% 4.07/1.53 % (180402)lrs+10_1_sil=8000:sp=occurrence:random_seed=3737954238:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.07/1.53 % (180403)lrs+10_1_sil=32000:urr=on:br=off:random_seed=310484986:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.07/1.53 % (180404)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2011831976:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.07/1.53 % (180403)Refutation not found, incomplete strategy
% 4.07/1.53 % (180403)------------------------------
% 4.07/1.53 % (180403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.53 % (180403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.53 % (180403)CaDiCaL version: 2.1.3
% 4.07/1.53 % (180403)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.53 % (180403)Time elapsed: 0.008 s
% 4.07/1.53 % (180403)Peak memory usage: 89 MB
% 4.07/1.53 % (180403)Instructions burned: 13 (million)
% 4.07/1.53 % (180405)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=1716609054:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.07/1.53 % (180404)Refutation not found, incomplete strategy
% 4.07/1.53 % (180404)------------------------------
% 4.07/1.53 % (180404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.53 % (180404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.53 % (180404)CaDiCaL version: 2.1.3
% 4.07/1.53 % (180404)Termination reason: Refutation not found, incomplete strategy
% 4.07/1.53 % (180404)Time elapsed: 0.029 s
% 4.07/1.53 % (180404)Peak memory usage: 89 MB
% 4.07/1.53 % (180404)Instructions burned: 45 (million)
% 4.07/1.53 % (180402)First to succeed.
% 4.07/1.53 % (180402)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-180383"
% 4.07/1.53 % (180405)Instruction limit reached!
% 4.07/1.53 % (180405)------------------------------
% 4.07/1.53 % (180405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.07/1.53 % (180405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.07/1.53 % (180405)CaDiCaL version: 2.1.3
% 4.07/1.53 % (180405)Termination reason: Instruction limit
% 4.07/1.53 % (180405)Termination phase: Saturation
% 4.07/1.53 % (180405)Time elapsed: 0.124 s
% 4.07/1.53 % (180405)Peak memory usage: 91 MB
% 4.07/1.53 % (180405)Instructions burned: 249 (million)
% 4.07/1.53 % (180389)Also succeeded, but the first one will report.
% 4.07/1.53 % (180403)------------------------------
% 4.07/1.53 % (180403)------------------------------
% 4.07/1.53 % (180404)------------------------------
% 4.07/1.53 % (180404)------------------------------
% 4.07/1.53 % (180402)Refutation found. Thanks to Tanya!
% 4.07/1.53 % SZS status Theorem for theBenchmark
% 4.07/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.38/1.72 % (180402)------------------------------
% 5.38/1.72 % (180402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.72 % (180402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.72 % (180402)CaDiCaL version: 2.1.3
% 5.38/1.72 % (180402)Termination reason: Refutation
% 5.38/1.72 % (180402)Time elapsed: 0.035 s
% 5.38/1.72 % (180402)Peak memory usage: 90 MB
% 5.38/1.72 % (180402)Instructions burned: 54 (million)
% 5.38/1.72 % (180402)------------------------------
% 5.38/1.72 % (180402)------------------------------
% 5.38/1.72 % (180383)Success in time 0.688 s
% 5.38/1.72 % Vampire exiting
%------------------------------------------------------------------------------