%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB069+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 : n007.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 2.82s 1.35s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 176 ( 25 unt; 13 def)
% Number of atoms : 846 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1088 ( 418 ~; 556 |; 97 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 13 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 338 ( 0 sgn 305 !; 33 ?)
% 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(f350,axiom,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
~ ( icext(X0,X2)
& icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(f374,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] :
~ ( icext(X1,X6)
& icext(X3,X6) )
& ! [X6] :
~ ( icext(X1,X6)
& icext(X5,X6) )
& ! [X6] :
~ ( icext(X3,X6)
& icext(X5,X6) ) )
=> ? [X7] :
( icext(uri_owl_AllDisjointClasses,X7)
& iext(uri_owl_members,X7,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_ndis_alldisjointclasses_fi_003) ).
fof(f559,conjecture,
? [X0,X1,X2,X3] :
( iext(uri_rdf_first,X2,uri_ex_c2)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,uri_ex_c3)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
& iext(uri_owl_members,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_c1)
& iext(uri_rdf_rest,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_ndis_alldisjointclasses_bw) ).
fof(f560,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( iext(uri_rdf_first,X2,uri_ex_c2)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,uri_ex_c3)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
& iext(uri_owl_members,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_c1)
& iext(uri_rdf_rest,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_c3)
& iext(uri_rdf_first,X2,uri_ex_c2)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c3)
& iext(uri_rdf_first,X1,uri_ex_c1)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X0,uri_ex_c3)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_ndis_alldisjointclasses_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] :
~ ( icext(X1,X6)
& icext(X3,X6) )
& ! [X7] :
~ ( icext(X1,X7)
& icext(X5,X7) )
& ! [X8] :
~ ( icext(X3,X8)
& icext(X5,X8) ) )
=> ? [X9] :
( icext(uri_owl_AllDisjointClasses,X9)
& iext(uri_owl_members,X9,X0) ) ),
inference(rectify,[],[f374]) ).
fof(f576,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_first,X2,uri_ex_c2)
| ~ iext(uri_rdf_rest,X2,X3)
| ~ iext(uri_rdf_first,X3,uri_ex_c3)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
| ~ iext(uri_owl_members,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_rdf_rest,X1,X2) ),
inference(ennf_transformation,[],[f560]) ).
fof(f581,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X9] :
( icext(uri_owl_AllDisjointClasses,X9)
& iext(uri_owl_members,X9,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] :
( icext(X1,X6)
& icext(X3,X6) )
| ? [X7] :
( icext(X1,X7)
& icext(X5,X7) )
| ? [X8] :
( icext(X3,X8)
& icext(X5,X8) ) ),
inference(ennf_transformation,[],[f563]) ).
fof(f582,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X9] :
( icext(uri_owl_AllDisjointClasses,X9)
& iext(uri_owl_members,X9,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] :
( icext(X1,X6)
& icext(X3,X6) )
| ? [X7] :
( icext(X1,X7)
& icext(X5,X7) )
| ? [X8] :
( icext(X3,X8)
& icext(X5,X8) ) ),
inference(flattening,[],[f581]) ).
fof(f587,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) ) ),
inference(ennf_transformation,[],[f350]) ).
fof(f589,definition,
! [X3,X5] :
( ? [X8] :
( icext(X3,X8)
& icext(X5,X8) )
| ~ sP0(X3,X5) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f590,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X9] :
( icext(uri_owl_AllDisjointClasses,X9)
& iext(uri_owl_members,X9,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] :
( icext(X1,X6)
& icext(X3,X6) )
| ? [X7] :
( icext(X1,X7)
& icext(X5,X7) )
| sP0(X3,X5) ),
inference(definition_folding,[],[f582,f589]) ).
fof(f591,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f592,plain,
! [X3,X5] :
( ? [X8] :
( icext(X3,X8)
& icext(X5,X8) )
| ~ sP0(X3,X5) ),
inference(nnf_transformation,[],[f589]) ).
fof(f593,plain,
! [X0,X1] :
( ? [X2] :
( icext(X0,X2)
& icext(X1,X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( ( icext(X0,sK1(X0,X1))
& icext(X1,sK1(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f593]) ).
fof(f595,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( icext(uri_owl_AllDisjointClasses,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] :
( icext(X1,X7)
& icext(X3,X7) )
| ? [X8] :
( icext(X1,X8)
& icext(X5,X8) )
| sP0(X3,X5) ),
inference(rectify,[],[f590]) ).
fof(f596,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( icext(uri_owl_AllDisjointClasses,sK2(X0))
& iext(uri_owl_members,sK2(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)
| ( icext(X1,sK3(X1,X3))
& icext(X3,sK3(X1,X3)) )
| ( icext(X1,sK4(X1,X5))
& icext(X5,sK4(X1,X5)) )
| sP0(X3,X5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X6,sK2(X0)),skolemize(X7,sK3(X1,X3)),skolemize(X8,sK4(X1,X5))],[f595]) ).
fof(f601,plain,
( iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_c3)
& iext(uri_rdf_first,sK11,uri_ex_c2)
& iext(uri_rdf_rest,sK11,sK9)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c3)
& iext(uri_rdf_first,sK10,uri_ex_c1)
& iext(uri_rdf_rest,sK10,sK11)
& iext(uri_rdf_first,sK9,uri_ex_c3)
& iext(uri_rdf_rest,sK9,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11)],[f561]) ).
fof(f602,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f587]) ).
fof(f603,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(flattening,[],[f602]) ).
fof(f604,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(rectify,[],[f603]) ).
fof(f605,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( icext(X0,sK12(X0,X1))
& icext(X1,sK12(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f604]) ).
fof(f606,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_members,X0,X1)
| ~ iext(uri_rdf_rest,X2,X3)
| ~ iext(uri_rdf_first,X3,uri_ex_c3)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_first,X2,uri_ex_c2)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_rdf_rest,X1,X2) ),
inference(cnf_transformation,[],[f576]) ).
fof(f608,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f591]) ).
fof(f613,plain,
! [X0,X1] :
( icext(X1,sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f594]) ).
fof(f614,plain,
! [X0,X1] :
( icext(X0,sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f594]) ).
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,sK2(X0),X0)
| icext(X3,sK3(X1,X3))
| icext(X5,sK4(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f596]) ).
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,sK2(X0),X0)
| icext(X3,sK3(X1,X3))
| icext(X1,sK4(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f596]) ).
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,sK2(X0),X0)
| icext(X1,sK3(X1,X3))
| icext(X5,sK4(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f596]) ).
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)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X1,sK3(X1,X3))
| icext(X1,sK4(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f596]) ).
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_AllDisjointClasses,sK2(X0))
| icext(X3,sK3(X1,X3))
| icext(X5,sK4(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f596]) ).
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_AllDisjointClasses,sK2(X0))
| icext(X3,sK3(X1,X3))
| icext(X1,sK4(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f596]) ).
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_AllDisjointClasses,sK2(X0))
| icext(X1,sK3(X1,X3))
| icext(X5,sK4(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f596]) ).
fof(f622,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_AllDisjointClasses,sK2(X0))
| icext(X1,sK3(X1,X3))
| icext(X1,sK4(X1,X5))
| sP0(X3,X5) ),
inference(cnf_transformation,[],[f596]) ).
fof(f632,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f601]) ).
fof(f633,plain,
iext(uri_rdf_first,sK9,uri_ex_c3),
inference(cnf_transformation,[],[f601]) ).
fof(f634,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(cnf_transformation,[],[f601]) ).
fof(f635,plain,
iext(uri_rdf_first,sK10,uri_ex_c1),
inference(cnf_transformation,[],[f601]) ).
fof(f636,plain,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c3),
inference(cnf_transformation,[],[f601]) ).
fof(f637,plain,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f601]) ).
fof(f638,plain,
iext(uri_rdf_rest,sK11,sK9),
inference(cnf_transformation,[],[f601]) ).
fof(f639,plain,
iext(uri_rdf_first,sK11,uri_ex_c2),
inference(cnf_transformation,[],[f601]) ).
fof(f640,plain,
iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_c3),
inference(cnf_transformation,[],[f601]) ).
fof(f641,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_disjointWith,X0,X1)
| ~ icext(X1,X3)
| ~ icext(X0,X3) ),
inference(cnf_transformation,[],[f605]) ).
fof(f668,plain,
! [X0] :
( ~ icext(uri_ex_c1,X0)
| ~ icext(uri_ex_c2,X0) ),
inference(resolution,[],[f641,f637]) ).
fof(f669,plain,
! [X0] :
( ~ icext(uri_ex_c1,X0)
| ~ icext(uri_ex_c3,X0) ),
inference(resolution,[],[f641,f636]) ).
fof(f670,plain,
! [X0] :
( ~ icext(uri_ex_c3,X0)
| ~ icext(uri_ex_c2,X0) ),
inference(resolution,[],[f641,f640]) ).
fof(f715,plain,
! [X0] :
( ~ icext(uri_ex_c2,sK1(X0,uri_ex_c3))
| ~ sP0(X0,uri_ex_c3) ),
inference(resolution,[],[f670,f613]) ).
fof(f754,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK9)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK9,X4)
| icext(uri_owl_AllDisjointClasses,sK2(X0))
| icext(X3,sK3(X1,X3))
| icext(X4,sK4(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f619,f632]) ).
fof(f755,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK9)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK9,X4)
| icext(uri_owl_AllDisjointClasses,sK2(X0))
| icext(X3,sK3(X1,X3))
| icext(X1,sK4(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f620,f632]) ).
fof(f758,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK9)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK9,X4)
| icext(uri_owl_AllDisjointClasses,sK2(X0))
| icext(X1,sK3(X1,X3))
| icext(X4,sK4(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f621,f632]) ).
fof(f759,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK9)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK9,X4)
| icext(uri_owl_AllDisjointClasses,sK2(X0))
| icext(X1,sK3(X1,X3))
| icext(X1,sK4(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f622,f632]) ).
fof(f760,plain,
( ~ sP0(uri_ex_c2,uri_ex_c3)
| ~ sP0(uri_ex_c2,uri_ex_c3) ),
inference(resolution,[],[f715,f614]) ).
fof(f761,plain,
~ sP0(uri_ex_c2,uri_ex_c3),
inference(duplicate_literal_removal,[],[f760]) ).
fof(f762,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK9)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK9,X4)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X3,sK3(X1,X3))
| icext(X4,sK4(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f615,f632]) ).
fof(f763,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK9)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK9,X4)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X3,sK3(X1,X3))
| icext(X1,sK4(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f616,f632]) ).
fof(f766,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK9)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK9,X4)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X1,sK3(X1,X3))
| icext(X4,sK4(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f617,f632]) ).
fof(f767,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK9)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK9,X4)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X1,sK3(X1,X3))
| icext(X1,sK4(X1,X4))
| sP0(X3,X4) ),
inference(resolution,[],[f618,f632]) ).
fof(f830,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,sK11,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| icext(uri_owl_AllDisjointClasses,sK2(X0))
| icext(X1,sK3(X2,X1))
| icext(X3,sK4(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f754,f638]) ).
fof(f833,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,sK11,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| icext(uri_owl_AllDisjointClasses,sK2(X0))
| icext(X1,sK3(X2,X1))
| icext(X2,sK4(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f755,f638]) ).
fof(f834,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,sK11,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| icext(uri_owl_AllDisjointClasses,sK2(X0))
| icext(X2,sK3(X2,X1))
| icext(X3,sK4(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f758,f638]) ).
fof(f835,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,sK11,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| icext(uri_owl_AllDisjointClasses,sK2(X0))
| icext(X2,sK3(X2,X1))
| icext(X2,sK4(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f759,f638]) ).
fof(f838,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,sK11,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X1,sK3(X2,X1))
| icext(X3,sK4(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f762,f638]) ).
fof(f843,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,sK11,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X1,sK3(X2,X1))
| icext(X2,sK4(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f763,f638]) ).
fof(f847,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,sK11,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X2,sK3(X2,X1))
| icext(X3,sK4(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f766,f638]) ).
fof(f852,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,sK11,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK9,X3)
| iext(uri_owl_members,sK2(X0),X0)
| icext(X2,sK3(X2,X1))
| icext(X2,sK4(X2,X3))
| sP0(X1,X3) ),
inference(resolution,[],[f767,f638]) ).
fof(f902,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| icext(uri_owl_AllDisjointClasses,sK2(sK10))
| icext(X0,sK3(X1,X0))
| icext(X2,sK4(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f830,f634]) ).
fof(f904,definition,
( spl13_26
<=> icext(uri_owl_AllDisjointClasses,sK2(sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_26])],[avatar_definition]) ).
fof(f906,plain,
( icext(uri_owl_AllDisjointClasses,sK2(sK10))
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f908,definition,
( spl13_27
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| sP0(X0,X2)
| icext(X2,sK4(X1,X2))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK10,X1) ) ),
introduced(definition,[new_symbols(definition,[spl13_27])],[avatar_definition]) ).
fof(f909,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| sP0(X0,X2)
| icext(X2,sK4(X1,X2))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK10,X1) )
| ~ spl13_27 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f910,plain,
( spl13_26
| spl13_27 ),
inference(avatar_split_clause,[],[f902,f908,f904]) ).
fof(f911,plain,
( ! [X0,X1] :
( icext(uri_ex_c2,sK3(X1,uri_ex_c2))
| icext(X0,sK4(X1,X0))
| sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK10,X1) )
| ~ spl13_27 ),
inference(resolution,[],[f909,f639]) ).
fof(f912,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| icext(uri_owl_AllDisjointClasses,sK2(sK10))
| icext(X0,sK3(X1,X0))
| icext(X1,sK4(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f833,f634]) ).
fof(f914,definition,
( spl13_28
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| sP0(X0,X2)
| icext(X1,sK4(X1,X2))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK10,X1) ) ),
introduced(definition,[new_symbols(definition,[spl13_28])],[avatar_definition]) ).
fof(f915,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| sP0(X0,X2)
| icext(X1,sK4(X1,X2))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK10,X1) )
| ~ spl13_28 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f916,plain,
( spl13_26
| spl13_28 ),
inference(avatar_split_clause,[],[f912,f914,f904]) ).
fof(f922,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| icext(uri_owl_AllDisjointClasses,sK2(sK10))
| icext(X1,sK3(X1,X0))
| icext(X2,sK4(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f834,f634]) ).
fof(f924,definition,
( spl13_29
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| sP0(X0,X2)
| icext(X2,sK4(X1,X2))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK10,X1)
| icext(X1,sK3(X1,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_29])],[avatar_definition]) ).
fof(f925,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| sP0(X0,X2)
| icext(X2,sK4(X1,X2))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK10,X1)
| icext(X1,sK3(X1,X0)) )
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f926,plain,
( spl13_26
| spl13_29 ),
inference(avatar_split_clause,[],[f922,f924,f904]) ).
fof(f927,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| icext(uri_owl_AllDisjointClasses,sK2(sK10))
| icext(X1,sK3(X1,X0))
| icext(X1,sK4(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f835,f634]) ).
fof(f929,definition,
( spl13_30
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| sP0(X0,X2)
| icext(X1,sK4(X1,X2))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK10,X1)
| icext(X1,sK3(X1,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl13_30])],[avatar_definition]) ).
fof(f930,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| sP0(X0,X2)
| icext(X1,sK4(X1,X2))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK10,X1)
| icext(X1,sK3(X1,X0)) )
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f931,plain,
( spl13_26
| spl13_30 ),
inference(avatar_split_clause,[],[f927,f929,f904]) ).
fof(f932,plain,
( ! [X0,X1] :
( icext(uri_ex_c2,sK3(X1,uri_ex_c2))
| icext(X1,sK4(X1,X0))
| sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK10,X1) )
| ~ spl13_28 ),
inference(resolution,[],[f915,f639]) ).
fof(f933,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| iext(uri_owl_members,sK2(sK10),sK10)
| icext(X0,sK3(X1,X0))
| icext(X2,sK4(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f838,f634]) ).
fof(f935,plain,
( ! [X0] :
( icext(uri_ex_c2,sK3(uri_ex_c1,uri_ex_c2))
| sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK10,uri_ex_c1)
| ~ icext(uri_ex_c3,sK4(uri_ex_c1,X0)) )
| ~ spl13_28 ),
inference(resolution,[],[f932,f669]) ).
fof(f952,plain,
( ! [X0] :
( icext(uri_ex_c2,sK3(uri_ex_c1,uri_ex_c2))
| sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0)
| ~ icext(uri_ex_c3,sK4(uri_ex_c1,X0)) )
| ~ spl13_28 ),
inference(forward_subsumption_resolution,[],[f935,f635]) ).
fof(f958,definition,
( spl13_35
<=> icext(uri_ex_c2,sK3(uri_ex_c1,uri_ex_c2)) ),
introduced(definition,[new_symbols(definition,[spl13_35])],[avatar_definition]) ).
fof(f960,plain,
( icext(uri_ex_c2,sK3(uri_ex_c1,uri_ex_c2))
| ~ spl13_35 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f963,definition,
( spl13_36
<=> ! [X0] :
( sP0(uri_ex_c2,X0)
| ~ icext(uri_ex_c3,sK4(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK9,X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_36])],[avatar_definition]) ).
fof(f964,plain,
( ! [X0] :
( ~ icext(uri_ex_c3,sK4(uri_ex_c1,X0))
| sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0) )
| ~ spl13_36 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f976,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| iext(uri_owl_members,sK2(sK10),sK10)
| icext(X0,sK3(X1,X0))
| icext(X1,sK4(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f843,f634]) ).
fof(f977,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| iext(uri_owl_members,sK2(sK10),sK10)
| icext(X1,sK3(X1,X0))
| icext(X2,sK4(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f847,f634]) ).
fof(f978,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| iext(uri_owl_members,sK2(sK10),sK10)
| icext(X1,sK3(X1,X0))
| icext(X1,sK4(X1,X2))
| sP0(X0,X2) ),
inference(resolution,[],[f852,f634]) ).
fof(f979,plain,
( ! [X0,X1] :
( icext(X1,sK3(X1,uri_ex_c2))
| icext(X0,sK4(X1,X0))
| ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| sP0(uri_ex_c2,X0) )
| ~ spl13_29 ),
inference(resolution,[],[f925,f639]) ).
fof(f981,plain,
( ! [X0] :
( icext(X0,sK4(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK10,uri_ex_c1)
| sP0(uri_ex_c2,X0)
| ~ icext(uri_ex_c2,sK3(uri_ex_c1,uri_ex_c2)) )
| ~ spl13_29 ),
inference(resolution,[],[f979,f668]) ).
fof(f987,plain,
( ! [X0] :
( icext(X0,sK4(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK10,uri_ex_c1)
| sP0(uri_ex_c2,X0) )
| ~ spl13_27
| ~ spl13_29 ),
inference(forward_subsumption_resolution,[],[f981,f911]) ).
fof(f990,plain,
( ! [X0] :
( icext(X0,sK4(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK9,X0)
| sP0(uri_ex_c2,X0) )
| ~ spl13_27
| ~ spl13_29 ),
inference(forward_subsumption_resolution,[],[f987,f635]) ).
fof(f996,definition,
( spl13_40
<=> ! [X0] :
( icext(X0,sK4(uri_ex_c1,X0))
| sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0) ) ),
introduced(definition,[new_symbols(definition,[spl13_40])],[avatar_definition]) ).
fof(f997,plain,
( ! [X0] :
( icext(X0,sK4(uri_ex_c1,X0))
| sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0) )
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f999,plain,
( spl13_40
| ~ spl13_27
| ~ spl13_29 ),
inference(avatar_split_clause,[],[f990,f924,f908,f996]) ).
fof(f1000,plain,
( ! [X0,X1] :
( icext(X1,sK4(X1,X0))
| sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| icext(X1,sK3(X1,uri_ex_c2)) )
| ~ spl13_30 ),
inference(resolution,[],[f930,f639]) ).
fof(f1017,plain,
( ! [X0] :
( sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0)
| ~ iext(uri_rdf_first,sK10,uri_ex_c1)
| icext(uri_ex_c1,sK3(uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK4(uri_ex_c1,X0)) )
| ~ spl13_30 ),
inference(resolution,[],[f1000,f669]) ).
fof(f1023,plain,
( ! [X0] :
( sP0(uri_ex_c2,X0)
| ~ iext(uri_rdf_first,sK9,X0)
| icext(uri_ex_c1,sK3(uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK4(uri_ex_c1,X0)) )
| ~ spl13_30 ),
inference(forward_subsumption_resolution,[],[f1017,f635]) ).
fof(f1025,definition,
( spl13_42
<=> icext(uri_ex_c1,sK3(uri_ex_c1,uri_ex_c2)) ),
introduced(definition,[new_symbols(definition,[spl13_42])],[avatar_definition]) ).
fof(f1027,plain,
( icext(uri_ex_c1,sK3(uri_ex_c1,uri_ex_c2))
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1044,plain,
( sP0(uri_ex_c2,uri_ex_c3)
| ~ iext(uri_rdf_first,sK9,uri_ex_c3)
| sP0(uri_ex_c2,uri_ex_c3)
| ~ iext(uri_rdf_first,sK9,uri_ex_c3)
| ~ spl13_36
| ~ spl13_40 ),
inference(resolution,[],[f964,f997]) ).
fof(f1047,plain,
( sP0(uri_ex_c2,uri_ex_c3)
| ~ iext(uri_rdf_first,sK9,uri_ex_c3)
| ~ spl13_36
| ~ spl13_40 ),
inference(duplicate_literal_removal,[],[f1044]) ).
fof(f1048,plain,
( ~ iext(uri_rdf_first,sK9,uri_ex_c3)
| ~ spl13_36
| ~ spl13_40 ),
inference(forward_subsumption_resolution,[],[f1047,f761]) ).
fof(f1049,plain,
( $false
| ~ spl13_36
| ~ spl13_40 ),
inference(forward_subsumption_resolution,[],[f1048,f633]) ).
fof(f1050,plain,
( ~ spl13_36
| ~ spl13_40 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1052,plain,
( ~ icext(uri_ex_c2,sK3(uri_ex_c1,uri_ex_c2))
| ~ spl13_42 ),
inference(resolution,[],[f1027,f668]) ).
fof(f1053,plain,
( $false
| ~ spl13_35
| ~ spl13_42 ),
inference(forward_subsumption_resolution,[],[f1052,f960]) ).
fof(f1054,plain,
( ~ spl13_35
| ~ spl13_42 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1057,definition,
( spl13_45
<=> iext(uri_owl_members,sK2(sK10),sK10) ),
introduced(definition,[new_symbols(definition,[spl13_45])],[avatar_definition]) ).
fof(f1058,plain,
( ~ iext(uri_owl_members,sK2(sK10),sK10)
| spl13_45 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1059,plain,
( iext(uri_owl_members,sK2(sK10),sK10)
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1060,plain,
( spl13_45
| spl13_30 ),
inference(avatar_split_clause,[],[f978,f929,f1057]) ).
fof(f1065,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_type,sK2(sK10),uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_first,X0,uri_ex_c2)
| ~ iext(uri_rdf_first,sK10,uri_ex_c1)
| ~ iext(uri_rdf_rest,sK10,X0) )
| ~ spl13_45 ),
inference(resolution,[],[f1059,f606]) ).
fof(f1066,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_type,sK2(sK10),uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_first,X0,uri_ex_c2)
| ~ iext(uri_rdf_rest,sK10,X0) )
| ~ spl13_45 ),
inference(forward_subsumption_resolution,[],[f1065,f635]) ).
fof(f1072,definition,
( spl13_46
<=> iext(uri_rdf_type,sK2(sK10),uri_owl_AllDisjointClasses) ),
introduced(definition,[new_symbols(definition,[spl13_46])],[avatar_definition]) ).
fof(f1074,plain,
( ~ iext(uri_rdf_type,sK2(sK10),uri_owl_AllDisjointClasses)
| spl13_46 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1076,definition,
( spl13_47
<=> ! [X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_rest,sK10,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_c3) ) ),
introduced(definition,[new_symbols(definition,[spl13_47])],[avatar_definition]) ).
fof(f1077,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,sK10,X0)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_c3) )
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1078,plain,
( ~ spl13_46
| spl13_47
| ~ spl13_45 ),
inference(avatar_split_clause,[],[f1066,f1057,f1076,f1072]) ).
fof(f1086,plain,
( ~ icext(uri_owl_AllDisjointClasses,sK2(sK10))
| spl13_46 ),
inference(resolution,[],[f1074,f608]) ).
fof(f1087,plain,
( $false
| ~ spl13_26
| spl13_46 ),
inference(forward_subsumption_resolution,[],[f1086,f906]) ).
fof(f1088,plain,
( ~ spl13_26
| spl13_46 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1090,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK11,X0)
| ~ iext(uri_rdf_first,sK11,uri_ex_c2)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_c3) )
| ~ spl13_47 ),
inference(resolution,[],[f1077,f634]) ).
fof(f1091,plain,
( ! [X0] :
( ~ iext(uri_rdf_rest,sK11,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_c3) )
| ~ spl13_47 ),
inference(forward_subsumption_resolution,[],[f1090,f639]) ).
fof(f1101,plain,
( ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK9,uri_ex_c3)
| ~ spl13_47 ),
inference(resolution,[],[f1091,f638]) ).
fof(f1102,plain,
( ~ iext(uri_rdf_first,sK9,uri_ex_c3)
| ~ spl13_47 ),
inference(forward_subsumption_resolution,[],[f1101,f632]) ).
fof(f1103,plain,
( $false
| ~ spl13_47 ),
inference(forward_subsumption_resolution,[],[f1102,f633]) ).
fof(f1104,plain,
~ spl13_47,
inference(avatar_contradiction_clause,[],[f1103]) ).
fof(f1107,plain,
( spl13_42
| spl13_36
| ~ spl13_30 ),
inference(avatar_split_clause,[],[f1023,f929,f963,f1025]) ).
fof(f1108,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| icext(X0,sK3(X1,X0))
| icext(X1,sK4(X1,X2))
| sP0(X0,X2) )
| spl13_45 ),
inference(forward_subsumption_resolution,[],[f976,f1058]) ).
fof(f1109,plain,
( spl13_28
| spl13_45 ),
inference(avatar_split_clause,[],[f1108,f1057,f914]) ).
fof(f1111,plain,
( spl13_36
| spl13_35
| ~ spl13_28 ),
inference(avatar_split_clause,[],[f952,f914,f958,f963]) ).
fof(f1112,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| icext(X0,sK3(X1,X0))
| icext(X2,sK4(X1,X2))
| sP0(X0,X2) )
| spl13_45 ),
inference(forward_subsumption_resolution,[],[f933,f1058]) ).
fof(f1114,plain,
( spl13_27
| spl13_45 ),
inference(avatar_split_clause,[],[f1112,f1057,f908]) ).
fof(f1122,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X0)
| ~ iext(uri_rdf_first,sK10,X1)
| ~ iext(uri_rdf_first,sK9,X2)
| icext(X1,sK3(X1,X0))
| icext(X2,sK4(X1,X2))
| sP0(X0,X2) )
| spl13_45 ),
inference(forward_subsumption_resolution,[],[f977,f1058]) ).
fof(f1125,plain,
( spl13_29
| spl13_45 ),
inference(avatar_split_clause,[],[f1122,f1057,f924]) ).
cnf(s20,plain,
( spl13_26
| spl13_27 ),
inference(sat_conversion,[],[f910]) ).
cnf(s21,plain,
( spl13_26
| spl13_28 ),
inference(sat_conversion,[],[f916]) ).
cnf(s22,plain,
( spl13_26
| spl13_29 ),
inference(sat_conversion,[],[f926]) ).
cnf(s23,plain,
( spl13_26
| spl13_30 ),
inference(sat_conversion,[],[f931]) ).
cnf(s29,plain,
( ~ spl13_27
| ~ spl13_29
| spl13_40 ),
inference(sat_conversion,[],[f999]) ).
cnf(s34,plain,
( ~ spl13_36
| ~ spl13_40 ),
inference(sat_conversion,[],[f1050]) ).
cnf(s35,plain,
( ~ spl13_35
| ~ spl13_42 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s37,plain,
( spl13_30
| spl13_45 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s38,plain,
( ~ spl13_45
| ~ spl13_46
| spl13_47 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s40,plain,
( ~ spl13_26
| spl13_46 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s42,plain,
~ spl13_47,
inference(sat_conversion,[],[f1104]) ).
cnf(s43,plain,
( ~ spl13_30
| spl13_36
| spl13_42 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s44,plain,
( spl13_28
| spl13_45 ),
inference(sat_conversion,[],[f1109]) ).
cnf(s45,plain,
( ~ spl13_28
| spl13_35
| spl13_36 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s46,plain,
( spl13_27
| spl13_45 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s48,plain,
( spl13_29
| spl13_45 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s51,plain,
( ~ spl13_45
| ~ spl13_46 ),
inference(rat,[],[s38,s42]) ).
cnf(s57,plain,
spl13_26,
inference(rat,[],[s35,s45,s43,s34,s29,s20,s21,s22,s23]) ).
cnf(s58,plain,
spl13_46,
inference(rat,[],[s40,s57]) ).
cnf(s59,plain,
~ spl13_45,
inference(rat,[],[s51,s58]) ).
cnf(s60,plain,
spl13_29,
inference(rat,[],[s48,s59]) ).
cnf(s61,plain,
spl13_27,
inference(rat,[],[s46,s59]) ).
cnf(s62,plain,
spl13_28,
inference(rat,[],[s44,s59]) ).
cnf(s63,plain,
spl13_30,
inference(rat,[],[s37,s59]) ).
cnf(s64,plain,
spl13_40,
inference(rat,[],[s29,s60,s61]) ).
cnf(s65,plain,
~ spl13_36,
inference(rat,[],[s34,s64]) ).
cnf(s66,plain,
spl13_42,
inference(rat,[],[s43,s63,s65]) ).
cnf(s67,plain,
spl13_35,
inference(rat,[],[s45,s62,s65]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s35,s66,s67]) ).
fof(f1129,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB069+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 07:13:40 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 2.82/1.35 % (2214628)Detected formulas, will run a generic FOF schedule.
% 2.82/1.35 % (2214639)dis-21_1_sil=8000:lcm=predicate:random_seed=3912380699: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)
% 2.82/1.35 % (2214633)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=4263033253:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.82/1.35 % (2214634)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=897777632:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.82/1.35 % (2214639)Instruction limit reached!
% 2.82/1.35 % (2214639)------------------------------
% 2.82/1.35 % (2214639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.35 % (2214639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.35 % (2214639)CaDiCaL version: 2.1.3
% 2.82/1.35 % (2214639)Termination reason: Instruction limit
% 2.82/1.35 % (2214639)Termination phase: Saturation
% 2.82/1.35 % (2214639)Time elapsed: 0.038 s
% 2.82/1.35 % (2214639)Peak memory usage: 91 MB
% 2.82/1.35 % (2214639)Instructions burned: 131 (million)
% 2.82/1.35 % (2214636)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1945618402:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.82/1.35 % (2214638)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=726917655:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.82/1.35 % (2214637)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=220708702:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.82/1.35 % (2214635)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=4022236735:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.82/1.35 % (2214636)Refutation not found, incomplete strategy
% 2.82/1.35 % (2214636)------------------------------
% 2.82/1.35 % (2214636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.35 % (2214636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.35 % (2214636)CaDiCaL version: 2.1.3
% 2.82/1.35 % (2214636)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.35 % (2214636)Time elapsed: 0.010 s
% 2.82/1.35 % (2214636)Peak memory usage: 88 MB
% 2.82/1.35 % (2214636)Instructions burned: 16 (million)
% 2.82/1.35 % (2214637)Instruction limit reached!
% 2.82/1.35 % (2214637)------------------------------
% 2.82/1.35 % (2214637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.35 % (2214637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.35 % (2214637)CaDiCaL version: 2.1.3
% 2.82/1.35 % (2214637)Termination reason: Instruction limit
% 2.82/1.35 % (2214637)Termination phase: Saturation
% 2.82/1.35 % (2214637)Time elapsed: 0.054 s
% 2.82/1.35 % (2214637)Peak memory usage: 88 MB
% 2.82/1.35 % (2214637)Instructions burned: 120 (million)
% 2.82/1.35 % (2214638)Instruction limit reached!
% 2.82/1.35 % (2214638)------------------------------
% 2.82/1.35 % (2214638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.35 % (2214638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.35 % (2214638)CaDiCaL version: 2.1.3
% 2.82/1.35 % (2214638)Termination reason: Instruction limit
% 2.82/1.35 % (2214638)Termination phase: Saturation
% 2.82/1.35 % (2214638)Time elapsed: 0.079 s
% 2.82/1.35 % (2214638)Peak memory usage: 91 MB
% 2.82/1.35 % (2214638)Instructions burned: 140 (million)
% 2.82/1.35 % (2214647)lrs+10_1_sil=8000:sp=occurrence:random_seed=2342579231:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.82/1.35 % (2214647)First to succeed.
% 2.82/1.35 % (2214647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2214628"
% 2.82/1.35 % (2214648)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3528820045:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.82/1.35 % (2214648)Refutation not found, incomplete strategy
% 2.82/1.35 % (2214648)------------------------------
% 2.82/1.35 % (2214648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.35 % (2214648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.35 % (2214648)CaDiCaL version: 2.1.3
% 2.82/1.35 % (2214648)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.35 % (2214648)Time elapsed: 0.008 s
% 2.82/1.35 % (2214648)Peak memory usage: 89 MB
% 2.82/1.35 % (2214648)Instructions burned: 13 (million)
% 2.82/1.35 % (2214636)------------------------------
% 2.82/1.35 % (2214636)------------------------------
% 2.82/1.35 % (2214649)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3354483889:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.82/1.35 % (2214649)Refutation not found, incomplete strategy
% 2.82/1.35 % (2214649)------------------------------
% 2.82/1.35 % (2214649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.35 % (2214649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.35 % (2214649)CaDiCaL version: 2.1.3
% 2.82/1.35 % (2214649)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.35 % (2214649)Time elapsed: 0.027 s
% 2.82/1.35 % (2214649)Peak memory usage: 89 MB
% 2.82/1.35 % (2214649)Instructions burned: 42 (million)
% 2.82/1.35 % (2214647)Refutation found. Thanks to Tanya!
% 2.82/1.35 % SZS status Theorem for theBenchmark
% 2.82/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.55 % (2214647)------------------------------
% 3.96/1.55 % (2214647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.55 % (2214647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.55 % (2214647)CaDiCaL version: 2.1.3
% 3.96/1.55 % (2214647)Termination reason: Refutation
% 3.96/1.55 % (2214647)Time elapsed: 0.010 s
% 3.96/1.55 % (2214647)Peak memory usage: 90 MB
% 3.96/1.55 % (2214647)Instructions burned: 25 (million)
% 3.96/1.55 % (2214647)------------------------------
% 3.96/1.55 % (2214647)------------------------------
% 3.96/1.55 % (2214628)Success in time 0.492 s
% 3.96/1.55 % Vampire exiting
%------------------------------------------------------------------------------