%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB103+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:00:26 PM UTC 2026
% Result : Theorem 8.73s 2.12s
% Output : Refutation 9.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of formulae : 268 ( 38 unt; 15 def)
% Number of atoms : 1323 ( 46 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1858 ( 803 ~; 845 |; 169 &)
% ( 32 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 22 con; 0-3 aty)
% Number of variables : 505 ( 0 sgn 476 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [X0] :
( icext(uri_owl_Restriction,X0)
=> ic(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
fof(f217,axiom,
! [X0,X1] :
( iext(uri_owl_intersectionOf,X0,X1)
=> ( ic(X0)
& icext(uri_rdf_List,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_intersectionof_ext) ).
fof(f243,axiom,
! [X0,X1] :
( iext(uri_owl_onProperty,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ip(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
fof(f282,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f311,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_onClass,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
& ! [X5,X6] :
( ( iext(X1,X3,X5)
& icext(X2,X5)
& iext(X1,X3,X6)
& icext(X2,X6) )
=> X6 = X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_exactqcr_object_001) ).
fof(f325,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_onClass,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ! [X4,X5] :
( ( iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5) )
=> X5 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_maxqcr_object_001) ).
fof(f337,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_onClass,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).
fof(f351,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f559,conjecture,
iext(uri_owl_equivalentClass,uri_ex_z4,uri_ex_z1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_term_minmaxexact) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_z4,uri_ex_z1),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
& iext(uri_rdf_first,X0,uri_ex_z3)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_maxQualifiedCardinality,uri_ex_z3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z3,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z3,uri_ex_c)
& iext(uri_rdf_first,X1,uri_ex_z2)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_owl_qualifiedCardinality,uri_ex_z1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z1,uri_ex_c)
& iext(uri_owl_intersectionOf,uri_ex_z4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_term_minmaxexact) ).
fof(f562,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z4,uri_ex_z1),
inference(flattening,[],[f560]) ).
fof(f578,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f282]) ).
fof(f579,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f578]) ).
fof(f582,plain,
! [X0,X1] :
( ( ic(X0)
& icext(uri_rdf_List,X1) )
| ~ iext(uri_owl_intersectionOf,X0,X1) ),
inference(ennf_transformation,[],[f217]) ).
fof(f585,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f337]) ).
fof(f586,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f585]) ).
fof(f591,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4,X5] :
( X5 = X4
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f325]) ).
fof(f592,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4,X5] :
( X5 = X4
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f591]) ).
fof(f597,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
& ! [X5,X6] :
( X6 = X5
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6) ) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f311]) ).
fof(f598,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
& ! [X5,X6] :
( X6 = X5
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6) ) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f597]) ).
fof(f613,plain,
! [X0,X1] :
( ( icext(uri_owl_Restriction,X0)
& ip(X1) )
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f243]) ).
fof(f614,plain,
! [X0] :
( ic(X0)
| ~ icext(uri_owl_Restriction,X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f695,plain,
( iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z2,uri_ex_c)
& iext(uri_rdf_first,sK7,uri_ex_z3)
& iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_owl_maxQualifiedCardinality,uri_ex_z3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z3,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z3,uri_ex_c)
& iext(uri_rdf_first,sK8,uri_ex_z2)
& iext(uri_rdf_rest,sK8,sK7)
& iext(uri_owl_qualifiedCardinality,uri_ex_z1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z1,uri_ex_c)
& iext(uri_owl_intersectionOf,uri_ex_z4,sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f561]) ).
fof(f696,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f351]) ).
fof(f697,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f696]) ).
fof(f698,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f697]) ).
fof(f699,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK9(X0,X1))
| ~ icext(X0,sK9(X0,X1)) )
& ( icext(X1,sK9(X0,X1))
| icext(X0,sK9(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f698]) ).
fof(f704,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(nnf_transformation,[],[f579]) ).
fof(f705,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f704]) ).
fof(f706,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X6] :
( ( icext(X0,X6)
| ~ icext(X2,X6)
| ~ icext(X4,X6) )
& ( ( icext(X2,X6)
& icext(X4,X6) )
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(rectify,[],[f705]) ).
fof(f707,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ( ( ~ icext(X2,sK11(X0,X2,X4))
| ~ icext(X4,sK11(X0,X2,X4))
| ~ icext(X0,sK11(X0,X2,X4)) )
& ( ( icext(X2,sK11(X0,X2,X4))
& icext(X4,sK11(X0,X2,X4)) )
| icext(X0,sK11(X0,X2,X4)) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X6] :
( ( icext(X0,X6)
| ~ icext(X2,X6)
| ~ icext(X4,X6) )
& ( ( icext(X2,X6)
& icext(X4,X6) )
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X5,sK11(X0,X2,X4))],[f706]) ).
fof(f716,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f586]) ).
fof(f717,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X5] :
( iext(X1,X3,X5)
& icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f716]) ).
fof(f718,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK14(X1,X2,X3))
& icext(X2,sK14(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X5,sK14(X1,X2,X3))],[f717]) ).
fof(f725,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4,X5] :
( X4 != X5
& iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5) ) )
& ( ! [X4,X5] :
( X5 = X4
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f592]) ).
fof(f726,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4,X5] :
( X4 != X5
& iext(X1,X3,X4)
& icext(X2,X4)
& iext(X1,X3,X5)
& icext(X2,X5) ) )
& ( ! [X6,X7] :
( X6 = X7
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f725]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ( sK17(X1,X2,X3) != sK18(X1,X2,X3)
& iext(X1,X3,sK17(X1,X2,X3))
& icext(X2,sK17(X1,X2,X3))
& iext(X1,X3,sK18(X1,X2,X3))
& icext(X2,sK18(X1,X2,X3)) ) )
& ( ! [X6,X7] :
( X6 = X7
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X4,sK17(X1,X2,X3)),skolemize(X5,sK18(X1,X2,X3))],[f726]) ).
fof(f734,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) )
| ? [X5,X6] :
( X5 != X6
& iext(X1,X3,X5)
& icext(X2,X5)
& iext(X1,X3,X6)
& icext(X2,X6) ) )
& ( ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
& ! [X5,X6] :
( X6 = X5
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6) ) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f598]) ).
fof(f735,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) )
| ? [X5,X6] :
( X5 != X6
& iext(X1,X3,X5)
& icext(X2,X5)
& iext(X1,X3,X6)
& icext(X2,X6) ) )
& ( ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
& ! [X5,X6] :
( X6 = X5
| ~ iext(X1,X3,X5)
| ~ icext(X2,X5)
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6) ) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f734]) ).
fof(f736,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) )
| ? [X5,X6] :
( X5 != X6
& iext(X1,X3,X5)
& icext(X2,X5)
& iext(X1,X3,X6)
& icext(X2,X6) ) )
& ( ( ? [X7] :
( iext(X1,X3,X7)
& icext(X2,X7) )
& ! [X8,X9] :
( X8 = X9
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8)
| ~ iext(X1,X3,X9)
| ~ icext(X2,X9) ) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f735]) ).
fof(f737,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) )
| ( sK23(X1,X2,X3) != sK24(X1,X2,X3)
& iext(X1,X3,sK23(X1,X2,X3))
& icext(X2,sK23(X1,X2,X3))
& iext(X1,X3,sK24(X1,X2,X3))
& icext(X2,sK24(X1,X2,X3)) ) )
& ( ( iext(X1,X3,sK25(X1,X2,X3))
& icext(X2,sK25(X1,X2,X3))
& ! [X8,X9] :
( X8 = X9
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8)
| ~ iext(X1,X3,X9)
| ~ icext(X2,X9) ) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24,sK25]),skolemize(X5,sK23(X1,X2,X3)),skolemize(X6,sK24(X1,X2,X3)),skolemize(X7,sK25(X1,X2,X3))],[f736]) ).
fof(f843,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z4,uri_ex_z1),
inference(cnf_transformation,[],[f562]) ).
fof(f844,plain,
iext(uri_owl_intersectionOf,uri_ex_z4,sK8),
inference(cnf_transformation,[],[f695]) ).
fof(f845,plain,
iext(uri_owl_onClass,uri_ex_z1,uri_ex_c),
inference(cnf_transformation,[],[f695]) ).
fof(f846,plain,
iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
inference(cnf_transformation,[],[f695]) ).
fof(f847,plain,
iext(uri_owl_qualifiedCardinality,uri_ex_z1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f695]) ).
fof(f848,plain,
iext(uri_rdf_rest,sK8,sK7),
inference(cnf_transformation,[],[f695]) ).
fof(f849,plain,
iext(uri_rdf_first,sK8,uri_ex_z2),
inference(cnf_transformation,[],[f695]) ).
fof(f850,plain,
iext(uri_owl_onClass,uri_ex_z3,uri_ex_c),
inference(cnf_transformation,[],[f695]) ).
fof(f851,plain,
iext(uri_owl_onProperty,uri_ex_z3,uri_ex_p),
inference(cnf_transformation,[],[f695]) ).
fof(f852,plain,
iext(uri_owl_maxQualifiedCardinality,uri_ex_z3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f695]) ).
fof(f853,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f695]) ).
fof(f854,plain,
iext(uri_rdf_first,sK7,uri_ex_z3),
inference(cnf_transformation,[],[f695]) ).
fof(f855,plain,
iext(uri_owl_onClass,uri_ex_z2,uri_ex_c),
inference(cnf_transformation,[],[f695]) ).
fof(f856,plain,
iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
inference(cnf_transformation,[],[f695]) ).
fof(f857,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f695]) ).
fof(f862,plain,
! [X0,X1] :
( ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1)
| icext(X1,sK9(X0,X1))
| icext(X0,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f699]) ).
fof(f863,plain,
! [X0,X1] :
( ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X1,sK9(X0,X1))
| ~ icext(X0,sK9(X0,X1)) ),
inference(cnf_transformation,[],[f699]) ).
fof(f882,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X0,X6)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X4,X6) ),
inference(cnf_transformation,[],[f707]) ).
fof(f883,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X0,X6)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X2,X6) ),
inference(cnf_transformation,[],[f707]) ).
fof(f884,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X2,X6)
| ~ icext(X4,X6)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X0,X6) ),
inference(cnf_transformation,[],[f707]) ).
fof(f904,plain,
! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f582]) ).
fof(f914,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| icext(X2,sK14(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f718]) ).
fof(f915,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| iext(X1,X3,sK14(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f718]) ).
fof(f916,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f718]) ).
fof(f924,plain,
! [X2,X3,X0,X1,X6,X7] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X6)
| ~ icext(X2,X6)
| ~ iext(X1,X3,X7)
| ~ icext(X2,X7)
| ~ icext(X0,X3)
| X6 = X7
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f727]) ).
fof(f925,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| icext(X2,sK18(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f727]) ).
fof(f926,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| iext(X1,X3,sK18(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f727]) ).
fof(f927,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| icext(X2,sK17(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f727]) ).
fof(f928,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| iext(X1,X3,sK17(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f727]) ).
fof(f929,plain,
! [X2,X3,X0,X1] :
( sK17(X1,X2,X3) != sK18(X1,X2,X3)
| icext(X0,X3)
| ~ iext(uri_owl_maxQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f727]) ).
fof(f943,plain,
! [X2,X3,X0,X1,X8,X9] :
( ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X8)
| ~ icext(X2,X8)
| ~ iext(X1,X3,X9)
| ~ icext(X2,X9)
| ~ icext(X0,X3)
| X8 = X9
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f737]) ).
fof(f944,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,X3)
| icext(X2,sK25(X1,X2,X3))
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f737]) ).
fof(f945,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| iext(X1,X3,sK25(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f737]) ).
fof(f946,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| icext(X2,sK24(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f737]) ).
fof(f947,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| iext(X1,X3,sK24(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f737]) ).
fof(f948,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| icext(X2,sK23(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f737]) ).
fof(f949,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| iext(X1,X3,sK23(X1,X2,X3))
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f737]) ).
fof(f950,plain,
! [X2,X3,X0,X1,X4] :
( sK23(X1,X2,X3) != sK24(X1,X2,X3)
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| icext(X0,X3)
| ~ iext(uri_owl_qualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f737]) ).
fof(f987,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| icext(uri_owl_Restriction,X0) ),
inference(cnf_transformation,[],[f613]) ).
fof(f989,plain,
! [X0] :
( ~ icext(uri_owl_Restriction,X0)
| ic(X0) ),
inference(cnf_transformation,[],[f614]) ).
fof(f1301,plain,
ic(uri_ex_z4),
inference(resolution,[],[f904,f844]) ).
fof(f1328,plain,
! [X2,X0,X1] :
( ~ icext(uri_ex_z2,X0)
| icext(X1,sK14(X2,X1,X0))
| ~ iext(uri_owl_onProperty,uri_ex_z2,X2)
| ~ iext(uri_owl_onClass,uri_ex_z2,X1) ),
inference(resolution,[],[f914,f857]) ).
fof(f1329,plain,
! [X2,X0,X1] :
( ~ icext(uri_ex_z1,X0)
| iext(X1,X0,sK25(X1,X2,X0))
| ~ iext(uri_owl_onProperty,uri_ex_z1,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X2) ),
inference(resolution,[],[f945,f847]) ).
fof(f1330,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| ~ icext(X3,X2)
| icext(X3,sK23(X0,X3,X1))
| icext(uri_ex_z1,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onClass,uri_ex_z1,X3) ),
inference(resolution,[],[f948,f847]) ).
fof(f1331,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X2,X1)
| icext(X0,sK23(uri_ex_p,X0,X2))
| icext(uri_ex_z1,X2)
| ~ icext(X0,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) ),
inference(resolution,[],[f1330,f846]) ).
fof(f1332,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| ~ icext(X3,X2)
| icext(X3,sK24(X0,X3,X1))
| icext(uri_ex_z1,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onClass,uri_ex_z1,X3) ),
inference(resolution,[],[f946,f847]) ).
fof(f1333,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X2,X1)
| icext(X0,sK24(uri_ex_p,X0,X2))
| icext(uri_ex_z1,X2)
| ~ icext(X0,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) ),
inference(resolution,[],[f1332,f846]) ).
fof(f1334,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z3,X0)
| icext(uri_ex_z3,X1)
| iext(X0,X1,sK17(X0,X2,X1))
| ~ iext(uri_owl_onClass,uri_ex_z3,X2) ),
inference(resolution,[],[f928,f852]) ).
fof(f1335,plain,
! [X2,X3,X0,X1,X4] :
( ~ icext(uri_ex_z1,X1)
| ~ icext(X3,X2)
| ~ iext(X0,X1,X4)
| ~ icext(X3,X4)
| ~ iext(X0,X1,X2)
| X2 = X4
| ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| ~ iext(uri_owl_onClass,uri_ex_z1,X3) ),
inference(resolution,[],[f943,f847]) ).
fof(f1336,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z3,X0)
| icext(uri_ex_z3,X1)
| iext(X0,X1,sK18(X0,X2,X1))
| ~ iext(uri_owl_onClass,uri_ex_z3,X2) ),
inference(resolution,[],[f926,f852]) ).
fof(f1337,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z3,X1)
| icext(uri_ex_z3,X2)
| icext(X0,sK17(X1,X0,X2))
| ~ iext(uri_owl_onClass,uri_ex_z3,X0) ),
inference(resolution,[],[f927,f852]) ).
fof(f1338,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z3,X1)
| icext(uri_ex_z3,X2)
| icext(X0,sK18(X1,X0,X2))
| ~ iext(uri_owl_onClass,uri_ex_z3,X0) ),
inference(resolution,[],[f925,f852]) ).
fof(f1339,plain,
icext(uri_owl_Restriction,uri_ex_z1),
inference(resolution,[],[f987,f846]) ).
fof(f1348,plain,
! [X2,X0,X1] :
( ~ icext(uri_ex_z2,X0)
| iext(X1,X0,sK14(X1,X2,X0))
| ~ iext(uri_owl_onProperty,uri_ex_z2,X1)
| ~ iext(uri_owl_onClass,uri_ex_z2,X2) ),
inference(resolution,[],[f915,f857]) ).
fof(f1349,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z2,X0)
| ~ icext(X3,X2)
| icext(uri_ex_z2,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onClass,uri_ex_z2,X3) ),
inference(resolution,[],[f916,f857]) ).
fof(f1352,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_p,X2,X1)
| icext(uri_ex_z2,X2)
| ~ icext(X0,X1)
| ~ iext(uri_owl_onClass,uri_ex_z2,X0) ),
inference(resolution,[],[f856,f1349]) ).
fof(f1357,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z3,X1)
| icext(X1,sK18(uri_ex_p,X1,X0))
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f851,f1338]) ).
fof(f1358,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z3,X1)
| icext(X1,sK17(uri_ex_p,X1,X0))
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f851,f1337]) ).
fof(f1359,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z3,X1)
| iext(uri_ex_p,X0,sK18(uri_ex_p,X1,X0))
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f851,f1336]) ).
fof(f1360,plain,
! [X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z3,X1)
| iext(uri_ex_p,X0,sK17(uri_ex_p,X1,X0))
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f851,f1334]) ).
fof(f1364,plain,
! [X0] :
( iext(uri_ex_p,X0,sK17(uri_ex_p,uri_ex_c,X0))
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f1360,f850]) ).
fof(f1369,plain,
! [X0] :
( iext(uri_ex_p,X0,sK18(uri_ex_p,uri_ex_c,X0))
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f1359,f850]) ).
fof(f1374,plain,
! [X0] :
( icext(uri_ex_c,sK18(uri_ex_p,uri_ex_c,X0))
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f1357,f850]) ).
fof(f1383,plain,
! [X0] :
( icext(uri_ex_c,sK17(uri_ex_p,uri_ex_c,X0))
| icext(uri_ex_z3,X0) ),
inference(resolution,[],[f1358,f850]) ).
fof(f1422,plain,
! [X2,X3,X0,X1,X4] :
( ~ icext(uri_ex_z3,X1)
| ~ icext(X3,X2)
| ~ iext(X0,X1,X4)
| ~ icext(X3,X4)
| ~ iext(X0,X1,X2)
| X2 = X4
| ~ iext(uri_owl_onProperty,uri_ex_z3,X0)
| ~ iext(uri_owl_onClass,uri_ex_z3,X3) ),
inference(resolution,[],[f924,f852]) ).
fof(f1428,plain,
ic(uri_ex_z1),
inference(resolution,[],[f989,f1339]) ).
fof(f1432,plain,
! [X0] :
( ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_ex_z1)
| icext(uri_ex_z1,sK9(X0,uri_ex_z1))
| icext(X0,sK9(X0,uri_ex_z1)) ),
inference(resolution,[],[f1428,f862]) ).
fof(f1433,plain,
! [X0] :
( ~ icext(uri_ex_z1,sK9(X0,uri_ex_z1))
| iext(uri_owl_equivalentClass,X0,uri_ex_z1)
| ~ ic(X0)
| ~ icext(X0,sK9(X0,uri_ex_z1)) ),
inference(resolution,[],[f1428,f863]) ).
fof(f1444,plain,
( iext(uri_owl_equivalentClass,uri_ex_z4,uri_ex_z1)
| icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| icext(uri_ex_z4,sK9(uri_ex_z4,uri_ex_z1)) ),
inference(resolution,[],[f1432,f1301]) ).
fof(f1465,plain,
( icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| icext(uri_ex_z4,sK9(uri_ex_z4,uri_ex_z1)) ),
inference(forward_subsumption_resolution,[],[f1444,f843]) ).
fof(f1467,definition,
( spl115_22
<=> icext(uri_ex_z4,sK9(uri_ex_z4,uri_ex_z1)) ),
introduced(definition,[new_symbols(definition,[spl115_22])],[avatar_definition]) ).
fof(f1468,plain,
( icext(uri_ex_z4,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_22 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1470,definition,
( spl115_23
<=> icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1)) ),
introduced(definition,[new_symbols(definition,[spl115_23])],[avatar_definition]) ).
fof(f1471,plain,
( icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_23 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1472,plain,
( spl115_22
| spl115_23 ),
inference(avatar_split_clause,[],[f1465,f1470,f1467]) ).
fof(f1501,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| ~ icext(X3,X2)
| iext(X0,X1,sK24(X0,X3,X1))
| icext(uri_ex_z1,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onClass,uri_ex_z1,X3) ),
inference(resolution,[],[f947,f847]) ).
fof(f1502,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| iext(uri_ex_p,X2,sK24(uri_ex_p,X0,X2))
| icext(uri_ex_z1,X2)
| ~ iext(uri_ex_p,X2,X1)
| ~ icext(X0,X1) ),
inference(resolution,[],[f1501,f846]) ).
fof(f1503,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| icext(uri_ex_z1,X0)
| iext(uri_ex_p,X0,sK24(uri_ex_p,uri_ex_c,X0))
| ~ icext(uri_ex_c,X1) ),
inference(resolution,[],[f1502,f845]) ).
fof(f1519,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| ~ icext(X3,X2)
| iext(X0,X1,sK23(X0,X3,X1))
| icext(uri_ex_z1,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onClass,uri_ex_z1,X3) ),
inference(resolution,[],[f949,f847]) ).
fof(f1520,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| iext(uri_ex_p,X2,sK23(uri_ex_p,X0,X2))
| icext(uri_ex_z1,X2)
| ~ iext(uri_ex_p,X2,X1)
| ~ icext(X0,X1) ),
inference(resolution,[],[f1519,f846]) ).
fof(f1521,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| icext(uri_ex_z1,X0)
| iext(uri_ex_p,X0,sK23(uri_ex_p,uri_ex_c,X0))
| ~ icext(uri_ex_c,X1) ),
inference(resolution,[],[f1520,f845]) ).
fof(f1542,plain,
! [X2,X3,X0,X1,X4] :
( ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,sK7)
| ~ iext(uri_rdf_first,sK7,X4)
| icext(X3,X1) ),
inference(resolution,[],[f883,f853]) ).
fof(f1544,definition,
( spl115_26
<=> ! [X4] : ~ iext(uri_rdf_first,sK7,X4) ),
introduced(definition,[new_symbols(definition,[spl115_26])],[avatar_definition]) ).
fof(f1545,plain,
( ! [X4] : ~ iext(uri_rdf_first,sK7,X4)
| ~ spl115_26 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1547,definition,
( spl115_27
<=> ! [X0,X3,X2,X1] :
( ~ icext(X0,X1)
| icext(X3,X1)
| ~ iext(uri_rdf_rest,X2,sK7)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_owl_intersectionOf,X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl115_27])],[avatar_definition]) ).
fof(f1548,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X2,sK7)
| icext(X3,X1)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_owl_intersectionOf,X0,X2) )
| ~ spl115_27 ),
inference(avatar_component_clause,[],[f1547]) ).
fof(f1549,plain,
( spl115_26
| spl115_27 ),
inference(avatar_split_clause,[],[f1542,f1547,f1544]) ).
fof(f1550,plain,
( $false
| ~ spl115_26 ),
inference(unit_resulting_resolution,[],[f1545,f854]) ).
fof(f1553,plain,
~ spl115_26,
inference(avatar_contradiction_clause,[],[f1550]) ).
fof(f1554,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X2,sK8)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,sK8,X0)
| icext(X0,X1) )
| ~ spl115_27 ),
inference(resolution,[],[f1548,f848]) ).
fof(f1555,plain,
( ! [X0,X1] :
( ~ icext(uri_ex_z4,X0)
| ~ iext(uri_rdf_first,sK8,X1)
| icext(X1,X0) )
| ~ spl115_27 ),
inference(resolution,[],[f1554,f844]) ).
fof(f1556,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK8,X0)
| icext(X0,sK9(uri_ex_z4,uri_ex_z1)) )
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1555,f1468]) ).
fof(f1557,plain,
( icext(uri_ex_z2,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1556,f849]) ).
fof(f1558,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z2,X0)
| iext(X0,sK9(uri_ex_z4,uri_ex_z1),sK14(X0,X1,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z2,X1) )
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1557,f1348]) ).
fof(f1559,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z2,X1)
| icext(X0,sK14(X1,X0,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z2,X0) )
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1557,f1328]) ).
fof(f1568,plain,
( ! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z2,X0)
| iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK14(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1))) )
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1558,f856]) ).
fof(f1569,plain,
( iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1568,f855]) ).
fof(f1570,plain,
( icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ icext(uri_ex_c,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1569,f1521]) ).
fof(f1571,plain,
( icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ icext(uri_ex_c,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1569,f1503]) ).
fof(f1574,plain,
( ! [X0] :
( icext(X0,sK24(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1)))
| icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| ~ icext(X0,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) )
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1569,f1333]) ).
fof(f1575,plain,
( ! [X0] :
( icext(X0,sK23(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1)))
| icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| ~ icext(X0,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) )
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1569,f1331]) ).
fof(f1578,definition,
( spl115_30
<=> ! [X0] :
( icext(X0,sK23(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| ~ icext(X0,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))) ) ),
introduced(definition,[new_symbols(definition,[spl115_30])],[avatar_definition]) ).
fof(f1579,plain,
( ! [X0] :
( ~ icext(X0,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| icext(X0,sK23(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1))) )
| ~ spl115_30 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1580,plain,
( spl115_23
| spl115_30
| ~ spl115_22
| ~ spl115_27 ),
inference(avatar_split_clause,[],[f1575,f1547,f1467,f1578,f1470]) ).
fof(f1582,definition,
( spl115_31
<=> ! [X0] :
( icext(X0,sK24(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| ~ icext(X0,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))) ) ),
introduced(definition,[new_symbols(definition,[spl115_31])],[avatar_definition]) ).
fof(f1583,plain,
( ! [X0] :
( ~ icext(X0,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| icext(X0,sK24(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1))) )
| ~ spl115_31 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1584,plain,
( spl115_23
| spl115_31
| ~ spl115_22
| ~ spl115_27 ),
inference(avatar_split_clause,[],[f1574,f1547,f1467,f1582,f1470]) ).
fof(f1586,definition,
( spl115_32
<=> icext(uri_ex_c,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))) ),
introduced(definition,[new_symbols(definition,[spl115_32])],[avatar_definition]) ).
fof(f1587,plain,
( ~ icext(uri_ex_c,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| spl115_32 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1589,definition,
( spl115_33
<=> iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))) ),
introduced(definition,[new_symbols(definition,[spl115_33])],[avatar_definition]) ).
fof(f1590,plain,
( iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_33 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1591,plain,
( ~ spl115_32
| spl115_33
| spl115_23
| ~ spl115_22
| ~ spl115_27 ),
inference(avatar_split_clause,[],[f1571,f1547,f1467,f1470,f1589,f1586]) ).
fof(f1593,definition,
( spl115_34
<=> iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))) ),
introduced(definition,[new_symbols(definition,[spl115_34])],[avatar_definition]) ).
fof(f1594,plain,
( iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_34 ),
inference(avatar_component_clause,[],[f1593]) ).
fof(f1595,plain,
( ~ spl115_32
| spl115_34
| spl115_23
| ~ spl115_22
| ~ spl115_27 ),
inference(avatar_split_clause,[],[f1570,f1547,f1467,f1470,f1593,f1586]) ).
fof(f1598,plain,
( iext(uri_owl_equivalentClass,uri_ex_z4,uri_ex_z1)
| ~ ic(uri_ex_z4)
| ~ icext(uri_ex_z4,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_23 ),
inference(resolution,[],[f1471,f1433]) ).
fof(f1605,plain,
( ~ ic(uri_ex_z4)
| ~ icext(uri_ex_z4,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_23 ),
inference(forward_subsumption_resolution,[],[f1598,f843]) ).
fof(f1606,plain,
( ~ icext(uri_ex_z4,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_23 ),
inference(forward_subsumption_resolution,[],[f1605,f1301]) ).
fof(f1610,plain,
( $false
| ~ spl115_22
| ~ spl115_27
| spl115_32 ),
inference(unit_resulting_resolution,[],[f914,f855,f856,f1557,f857,f1587]) ).
fof(f1612,plain,
( ~ spl115_22
| ~ spl115_27
| spl115_32 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1655,plain,
( ! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z2,X0)
| icext(X0,sK14(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1))) )
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1559,f856]) ).
fof(f1656,plain,
( icext(uri_ex_c,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27 ),
inference(resolution,[],[f1655,f855]) ).
fof(f1657,plain,
( ~ iext(uri_owl_onClass,uri_ex_z1,uri_ex_c)
| icext(uri_ex_c,sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_31 ),
inference(resolution,[],[f1656,f1583]) ).
fof(f1658,plain,
( ~ iext(uri_owl_onClass,uri_ex_z1,uri_ex_c)
| icext(uri_ex_c,sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_30 ),
inference(resolution,[],[f1656,f1579]) ).
fof(f1660,plain,
( icext(uri_ex_c,sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_30 ),
inference(forward_subsumption_resolution,[],[f1658,f845]) ).
fof(f1661,plain,
( icext(uri_ex_c,sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_31 ),
inference(forward_subsumption_resolution,[],[f1657,f845]) ).
fof(f1668,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X2,sK7)
| ~ iext(uri_owl_intersectionOf,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK7,X4)
| icext(X4,X1) ),
inference(resolution,[],[f882,f853]) ).
fof(f1669,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,sK8)
| ~ iext(uri_rdf_first,sK8,X1)
| ~ icext(X0,X2)
| ~ iext(uri_rdf_first,sK7,X3)
| icext(X3,X2) ),
inference(resolution,[],[f1668,f848]) ).
fof(f1671,definition,
( spl115_42
<=> ! [X1] : ~ iext(uri_rdf_first,sK8,X1) ),
introduced(definition,[new_symbols(definition,[spl115_42])],[avatar_definition]) ).
fof(f1672,plain,
( ! [X1] : ~ iext(uri_rdf_first,sK8,X1)
| ~ spl115_42 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f1674,definition,
( spl115_43
<=> ! [X2,X0,X3] :
( ~ iext(uri_owl_intersectionOf,X0,sK8)
| ~ iext(uri_rdf_first,sK7,X3)
| icext(X3,X2)
| ~ icext(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl115_43])],[avatar_definition]) ).
fof(f1675,plain,
( ! [X2,X3,X0] :
( ~ iext(uri_owl_intersectionOf,X0,sK8)
| ~ iext(uri_rdf_first,sK7,X3)
| icext(X3,X2)
| ~ icext(X0,X2) )
| ~ spl115_43 ),
inference(avatar_component_clause,[],[f1674]) ).
fof(f1676,plain,
( spl115_42
| spl115_43 ),
inference(avatar_split_clause,[],[f1669,f1674,f1671]) ).
fof(f1677,plain,
( $false
| ~ spl115_42 ),
inference(unit_resulting_resolution,[],[f1672,f849]) ).
fof(f1680,plain,
~ spl115_42,
inference(avatar_contradiction_clause,[],[f1677]) ).
fof(f1681,plain,
( ! [X0,X1] :
( ~ icext(uri_ex_z4,X1)
| icext(X0,X1)
| ~ iext(uri_rdf_first,sK7,X0) )
| ~ spl115_43 ),
inference(resolution,[],[f1675,f844]) ).
fof(f1682,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK7,X0)
| icext(X0,sK9(uri_ex_z4,uri_ex_z1)) )
| ~ spl115_22
| ~ spl115_43 ),
inference(resolution,[],[f1681,f1468]) ).
fof(f1683,plain,
( icext(uri_ex_z3,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_22
| ~ spl115_43 ),
inference(resolution,[],[f1682,f854]) ).
fof(f1684,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z3,X2)
| ~ iext(X2,sK9(uri_ex_z4,uri_ex_z1),X3)
| ~ icext(X0,X3)
| ~ iext(X2,sK9(uri_ex_z4,uri_ex_z1),X1)
| X1 = X3
| ~ icext(X0,X1)
| ~ iext(uri_owl_onClass,uri_ex_z3,X0) )
| ~ spl115_22
| ~ spl115_43 ),
inference(resolution,[],[f1683,f1422]) ).
fof(f1688,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X4,sK7)
| ~ icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| ~ iext(uri_rdf_first,X4,X0)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK7,X2)
| icext(X3,X1) ),
inference(resolution,[],[f884,f853]) ).
fof(f1689,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X2,sK8)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK8,X3)
| ~ icext(X3,X1)
| ~ iext(uri_rdf_first,sK7,X0)
| icext(X2,X1) ),
inference(resolution,[],[f1688,f848]) ).
fof(f1690,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK8,X2)
| ~ icext(X0,X1)
| ~ icext(X2,X1)
| ~ iext(uri_rdf_first,sK7,X0)
| icext(uri_ex_z4,X1) ),
inference(resolution,[],[f1689,f844]) ).
fof(f1691,plain,
! [X0,X1] :
( ~ icext(uri_ex_z2,X1)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK7,X0)
| icext(uri_ex_z4,X1) ),
inference(resolution,[],[f1690,f849]) ).
fof(f1711,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z3,X1)
| ~ icext(X1,X0)
| ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X2)
| X0 = X2
| ~ icext(X1,X2)
| ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0) )
| ~ spl115_22
| ~ spl115_43 ),
inference(resolution,[],[f1684,f851]) ).
fof(f1712,plain,
( ! [X0,X1] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X1)
| X0 = X1
| ~ icext(uri_ex_c,X1)
| ~ icext(uri_ex_c,X0) )
| ~ spl115_22
| ~ spl115_43 ),
inference(resolution,[],[f1711,f850]) ).
fof(f1713,plain,
( ! [X0] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = X0
| ~ icext(uri_ex_c,X0)
| ~ icext(uri_ex_c,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))) )
| ~ spl115_22
| ~ spl115_27
| ~ spl115_43 ),
inference(resolution,[],[f1712,f1569]) ).
fof(f1722,plain,
( ! [X0] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = X0
| ~ icext(uri_ex_c,X0) )
| ~ spl115_22
| ~ spl115_27
| ~ spl115_43 ),
inference(forward_subsumption_resolution,[],[f1713,f1656]) ).
fof(f1724,plain,
( sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| ~ icext(uri_ex_c,sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_34
| ~ spl115_43 ),
inference(resolution,[],[f1722,f1594]) ).
fof(f1725,plain,
( sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| ~ icext(uri_ex_c,sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_33
| ~ spl115_43 ),
inference(resolution,[],[f1722,f1590]) ).
fof(f1730,plain,
( sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_31
| ~ spl115_33
| ~ spl115_43 ),
inference(forward_subsumption_resolution,[],[f1725,f1661]) ).
fof(f1731,plain,
( sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_30
| ~ spl115_34
| ~ spl115_43 ),
inference(forward_subsumption_resolution,[],[f1724,f1660]) ).
fof(f1737,plain,
( sK24(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_30
| ~ spl115_31
| ~ spl115_33
| ~ spl115_34
| ~ spl115_43 ),
inference(superposition,[],[f1730,f1731]) ).
fof(f1746,plain,
( ! [X0,X1] :
( sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) != sK23(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| ~ icext(uri_ex_c,X0)
| icext(X1,sK9(uri_ex_z4,uri_ex_z1))
| ~ iext(uri_owl_qualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_p)
| ~ iext(uri_owl_onClass,X1,uri_ex_c) )
| ~ spl115_22
| ~ spl115_27
| ~ spl115_30
| ~ spl115_31
| ~ spl115_33
| ~ spl115_34
| ~ spl115_43 ),
inference(superposition,[],[f950,f1737]) ).
fof(f1747,plain,
( ! [X0,X1] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| ~ icext(uri_ex_c,X0)
| icext(X1,sK9(uri_ex_z4,uri_ex_z1))
| ~ iext(uri_owl_qualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X1,uri_ex_p)
| ~ iext(uri_owl_onClass,X1,uri_ex_c) )
| ~ spl115_22
| ~ spl115_27
| ~ spl115_30
| ~ spl115_31
| ~ spl115_33
| ~ spl115_34
| ~ spl115_43 ),
inference(trivial_inequality_removal,[],[f1746]) ).
fof(f1749,definition,
( spl115_46
<=> ! [X1] :
( icext(X1,sK9(uri_ex_z4,uri_ex_z1))
| ~ iext(uri_owl_onClass,X1,uri_ex_c)
| ~ iext(uri_owl_onProperty,X1,uri_ex_p)
| ~ iext(uri_owl_qualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ) ),
introduced(definition,[new_symbols(definition,[spl115_46])],[avatar_definition]) ).
fof(f1750,plain,
( ! [X1] :
( ~ iext(uri_owl_qualifiedCardinality,X1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onClass,X1,uri_ex_c)
| ~ iext(uri_owl_onProperty,X1,uri_ex_p)
| icext(X1,sK9(uri_ex_z4,uri_ex_z1)) )
| ~ spl115_46 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1752,definition,
( spl115_47
<=> ! [X0] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| ~ icext(uri_ex_c,X0) ) ),
introduced(definition,[new_symbols(definition,[spl115_47])],[avatar_definition]) ).
fof(f1753,plain,
( ! [X0] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| ~ icext(uri_ex_c,X0) )
| ~ spl115_47 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1754,plain,
( spl115_46
| spl115_47
| ~ spl115_22
| ~ spl115_27
| ~ spl115_30
| ~ spl115_31
| ~ spl115_33
| ~ spl115_34
| ~ spl115_43 ),
inference(avatar_split_clause,[],[f1747,f1674,f1593,f1589,f1582,f1578,f1547,f1467,f1752,f1749]) ).
fof(f1769,plain,
( ~ iext(uri_owl_onClass,uri_ex_z1,uri_ex_c)
| ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
| icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_46 ),
inference(resolution,[],[f1750,f847]) ).
fof(f1770,plain,
( ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
| icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_46 ),
inference(forward_subsumption_resolution,[],[f1769,f845]) ).
fof(f1771,plain,
( icext(uri_ex_z1,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_46 ),
inference(forward_subsumption_resolution,[],[f1770,f846]) ).
fof(f1772,plain,
( spl115_23
| ~ spl115_46 ),
inference(avatar_split_clause,[],[f1771,f1749,f1470]) ).
fof(f1776,plain,
( ~ icext(uri_ex_c,sK14(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_22
| ~ spl115_27
| ~ spl115_47 ),
inference(resolution,[],[f1753,f1569]) ).
fof(f1790,plain,
( $false
| ~ spl115_22
| ~ spl115_27
| ~ spl115_47 ),
inference(forward_subsumption_resolution,[],[f1776,f1656]) ).
fof(f1791,plain,
( ~ spl115_22
| ~ spl115_27
| ~ spl115_47 ),
inference(avatar_contradiction_clause,[],[f1790]) ).
fof(f1796,definition,
( spl115_49
<=> icext(uri_ex_z2,sK9(uri_ex_z4,uri_ex_z1)) ),
introduced(definition,[new_symbols(definition,[spl115_49])],[avatar_definition]) ).
fof(f1797,plain,
( icext(uri_ex_z2,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_49 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1821,plain,
( ! [X0] :
( ~ icext(X0,sK9(uri_ex_z4,uri_ex_z1))
| ~ iext(uri_rdf_first,sK7,X0)
| icext(uri_ex_z4,sK9(uri_ex_z4,uri_ex_z1)) )
| ~ spl115_49 ),
inference(resolution,[],[f1797,f1691]) ).
fof(f1825,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK7,X0)
| ~ icext(X0,sK9(uri_ex_z4,uri_ex_z1)) )
| ~ spl115_23
| ~ spl115_49 ),
inference(forward_subsumption_resolution,[],[f1821,f1606]) ).
fof(f1827,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X2)
| ~ iext(X2,sK9(uri_ex_z4,uri_ex_z1),X3)
| ~ icext(X0,X3)
| ~ iext(X2,sK9(uri_ex_z4,uri_ex_z1),X1)
| X1 = X3
| ~ icext(X0,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) )
| ~ spl115_23 ),
inference(resolution,[],[f1471,f1335]) ).
fof(f1828,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| iext(X0,sK9(uri_ex_z4,uri_ex_z1),sK25(X0,X1,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z1,X1) )
| ~ spl115_23 ),
inference(resolution,[],[f1471,f1329]) ).
fof(f1829,plain,
( ! [X0,X1] :
( icext(X0,sK25(X1,X0,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_qualifiedCardinality,uri_ex_z1,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,uri_ex_z1,X1)
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) )
| ~ spl115_23 ),
inference(resolution,[],[f1471,f944]) ).
fof(f1830,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X1)
| icext(X0,sK25(X1,X0,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z1,X0) )
| ~ spl115_23 ),
inference(forward_subsumption_resolution,[],[f1829,f847]) ).
fof(f1831,plain,
( ! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| icext(X0,sK25(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1))) )
| ~ spl115_23 ),
inference(resolution,[],[f1830,f846]) ).
fof(f1832,plain,
( ~ icext(uri_ex_z3,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_23
| ~ spl115_49 ),
inference(resolution,[],[f1825,f854]) ).
fof(f1834,plain,
( icext(uri_ex_c,sK25(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_23 ),
inference(resolution,[],[f1831,f845]) ).
fof(f1838,plain,
( ! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z1,X0)
| iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK25(uri_ex_p,X0,sK9(uri_ex_z4,uri_ex_z1))) )
| ~ spl115_23 ),
inference(resolution,[],[f1828,f846]) ).
fof(f1839,plain,
( iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),sK25(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_23 ),
inference(resolution,[],[f1838,f845]) ).
fof(f1843,plain,
( ! [X0] :
( icext(uri_ex_z2,sK9(uri_ex_z4,uri_ex_z1))
| ~ icext(X0,sK25(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z2,X0) )
| ~ spl115_23 ),
inference(resolution,[],[f1839,f1352]) ).
fof(f1873,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_owl_onClass,uri_ex_z1,X1)
| ~ icext(X1,X0)
| ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X2)
| X0 = X2
| ~ icext(X1,X2)
| ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0) )
| ~ spl115_23 ),
inference(resolution,[],[f1827,f846]) ).
fof(f1874,plain,
( ! [X0,X1] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X1)
| X0 = X1
| ~ icext(uri_ex_c,X1)
| ~ icext(uri_ex_c,X0) )
| ~ spl115_23 ),
inference(resolution,[],[f1873,f845]) ).
fof(f1880,plain,
( ! [X0] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| sK18(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = X0
| ~ icext(uri_ex_c,X0)
| ~ icext(uri_ex_c,sK18(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| icext(uri_ex_z3,sK9(uri_ex_z4,uri_ex_z1)) )
| ~ spl115_23 ),
inference(resolution,[],[f1874,f1369]) ).
fof(f1883,plain,
( ! [X0] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| sK18(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = X0
| ~ icext(uri_ex_c,X0)
| icext(uri_ex_z3,sK9(uri_ex_z4,uri_ex_z1)) )
| ~ spl115_23 ),
inference(forward_subsumption_resolution,[],[f1880,f1374]) ).
fof(f1889,plain,
( ! [X0] :
( ~ iext(uri_ex_p,sK9(uri_ex_z4,uri_ex_z1),X0)
| sK18(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = X0
| ~ icext(uri_ex_c,X0) )
| ~ spl115_23
| ~ spl115_49 ),
inference(forward_subsumption_resolution,[],[f1883,f1832]) ).
fof(f1897,plain,
( sK17(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = sK18(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| ~ icext(uri_ex_c,sK17(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| icext(uri_ex_z3,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_23
| ~ spl115_49 ),
inference(resolution,[],[f1889,f1364]) ).
fof(f1901,plain,
( sK17(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = sK18(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| icext(uri_ex_z3,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_23
| ~ spl115_49 ),
inference(forward_subsumption_resolution,[],[f1897,f1383]) ).
fof(f1906,plain,
( sK17(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)) = sK18(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))
| ~ spl115_23
| ~ spl115_49 ),
inference(forward_subsumption_resolution,[],[f1901,f1832]) ).
fof(f1907,plain,
( $false
| ~ spl115_23
| ~ spl115_49 ),
inference(unit_resulting_resolution,[],[f929,f850,f851,f1832,f852,f1906]) ).
fof(f1912,plain,
( ~ spl115_23
| ~ spl115_49 ),
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1914,definition,
( spl115_55
<=> ! [X0] :
( ~ icext(X0,sK25(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ iext(uri_owl_onClass,uri_ex_z2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl115_55])],[avatar_definition]) ).
fof(f1915,plain,
( ! [X0] :
( ~ iext(uri_owl_onClass,uri_ex_z2,X0)
| ~ icext(X0,sK25(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1))) )
| ~ spl115_55 ),
inference(avatar_component_clause,[],[f1914]) ).
fof(f1916,plain,
( spl115_55
| spl115_49
| ~ spl115_23 ),
inference(avatar_split_clause,[],[f1843,f1470,f1796,f1914]) ).
fof(f2008,plain,
( ~ icext(uri_ex_c,sK25(uri_ex_p,uri_ex_c,sK9(uri_ex_z4,uri_ex_z1)))
| ~ spl115_55 ),
inference(resolution,[],[f1915,f855]) ).
fof(f2010,plain,
( $false
| ~ spl115_23
| ~ spl115_55 ),
inference(forward_subsumption_resolution,[],[f2008,f1834]) ).
fof(f2011,plain,
( ~ spl115_23
| ~ spl115_55 ),
inference(avatar_contradiction_clause,[],[f2010]) ).
cnf(s10,plain,
( spl115_22
| spl115_23 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s13,plain,
( spl115_26
| spl115_27 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s15,plain,
~ spl115_26,
inference(sat_conversion,[],[f1553]) ).
cnf(s17,plain,
( ~ spl115_22
| spl115_23
| ~ spl115_27
| spl115_30 ),
inference(sat_conversion,[],[f1580]) ).
cnf(s18,plain,
( ~ spl115_22
| spl115_23
| ~ spl115_27
| spl115_31 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s19,plain,
( ~ spl115_22
| spl115_23
| ~ spl115_27
| ~ spl115_32
| spl115_33 ),
inference(sat_conversion,[],[f1591]) ).
cnf(s20,plain,
( ~ spl115_22
| spl115_23
| ~ spl115_27
| ~ spl115_32
| spl115_34 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s25,plain,
( ~ spl115_22
| ~ spl115_27
| spl115_32 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s31,plain,
( spl115_42
| spl115_43 ),
inference(sat_conversion,[],[f1676]) ).
cnf(s33,plain,
~ spl115_42,
inference(sat_conversion,[],[f1680]) ).
cnf(s35,plain,
( ~ spl115_22
| ~ spl115_27
| ~ spl115_30
| ~ spl115_31
| ~ spl115_33
| ~ spl115_34
| ~ spl115_43
| spl115_46
| spl115_47 ),
inference(sat_conversion,[],[f1754]) ).
cnf(s36,plain,
( spl115_23
| ~ spl115_46 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s42,plain,
( ~ spl115_22
| ~ spl115_27
| ~ spl115_47 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s55,plain,
( ~ spl115_23
| ~ spl115_49 ),
inference(sat_conversion,[],[f1912]) ).
cnf(s56,plain,
( ~ spl115_23
| spl115_49
| spl115_55 ),
inference(sat_conversion,[],[f1916]) ).
cnf(s67,plain,
( ~ spl115_23
| ~ spl115_55 ),
inference(sat_conversion,[],[f2011]) ).
cnf(s68,plain,
spl115_43,
inference(rat,[],[s31,s33]) ).
cnf(s69,plain,
spl115_27,
inference(rat,[],[s13,s15]) ).
cnf(s70,plain,
( ~ spl115_23
| spl115_55 ),
inference(rat,[],[s55,s56]) ).
cnf(s71,plain,
~ spl115_23,
inference(rat,[],[s70,s67]) ).
cnf(s72,plain,
~ spl115_46,
inference(rat,[],[s36,s71]) ).
cnf(s73,plain,
spl115_22,
inference(rat,[],[s10,s71]) ).
cnf(s74,plain,
~ spl115_47,
inference(rat,[],[s42,s69,s73]) ).
cnf(s75,plain,
spl115_32,
inference(rat,[],[s25,s69,s73]) ).
cnf(s76,plain,
spl115_34,
inference(rat,[],[s20,s71,s75,s69,s73]) ).
cnf(s77,plain,
spl115_33,
inference(rat,[],[s19,s71,s75,s69,s73]) ).
cnf(s78,plain,
spl115_31,
inference(rat,[],[s18,s71,s69,s73]) ).
cnf(s79,plain,
spl115_30,
inference(rat,[],[s17,s71,s69,s73]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s35,s74,s72,s68,s76,s77,s73,s69,s78,s79]) ).
fof(f2012,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB103+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:20:56 UTC 2026
% 0.16/0.38 % CPUTime :
% 0.16/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.73/2.12 % (3790989)Detected formulas, will run a generic FOF schedule.
% 8.73/2.12 % (3790996)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=691336284:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.73/2.12 % (3790999)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=184674969:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.73/2.12 % (3790997)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3659055847:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.73/2.12 % (3790998)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3089319018:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.73/2.12 % (3790995)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=4138787801:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.73/2.12 % (3791000)dis-21_1_sil=8000:lcm=predicate:random_seed=2500737437: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)
% 8.73/2.12 % (3790994)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=2596216311:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.73/2.12 % (3790997)Refutation not found, incomplete strategy
% 8.73/2.12 % (3790997)------------------------------
% 8.73/2.12 % (3790997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3790997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3790997)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3790998)Refutation not found, incomplete strategy
% 8.73/2.12 % (3790998)------------------------------
% 8.73/2.12 % (3790998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3790997)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.12 % (3790997)Time elapsed: 0.002 s
% 8.73/2.12 % (3790997)Peak memory usage: 88 MB
% 8.73/2.12 % (3790997)Instructions burned: 2 (million)
% 8.73/2.12 % (3790998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3790998)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3790998)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.12 % (3790998)Time elapsed: 0.002 s
% 8.73/2.12 % (3790998)Peak memory usage: 88 MB
% 8.73/2.12 % (3790998)Instructions burned: 2 (million)
% 8.73/2.12 % (3791000)Instruction limit reached!
% 8.73/2.12 % (3791000)------------------------------
% 8.73/2.12 % (3791000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791000)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791000)Termination reason: Instruction limit
% 8.73/2.12 % (3791000)Termination phase: Saturation
% 8.73/2.12 % (3791000)Time elapsed: 0.068 s
% 8.73/2.12 % (3791000)Peak memory usage: 91 MB
% 8.73/2.12 % (3791000)Instructions burned: 130 (million)
% 8.73/2.12 % (3790999)Instruction limit reached!
% 8.73/2.12 % (3790999)------------------------------
% 8.73/2.12 % (3790999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3790999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3790999)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3790999)Termination reason: Instruction limit
% 8.73/2.12 % (3790999)Termination phase: Saturation
% 8.73/2.12 % (3790999)Time elapsed: 0.083 s
% 8.73/2.12 % (3790999)Peak memory usage: 91 MB
% 8.73/2.12 % (3790999)Instructions burned: 140 (million)
% 8.73/2.12 % (3791008)lrs+10_1_sil=8000:sp=occurrence:random_seed=3377472200:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.73/2.12 % (3791009)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3867086779:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.73/2.12 % (3791009)Refutation not found, incomplete strategy
% 8.73/2.12 % (3791009)------------------------------
% 8.73/2.12 % (3791009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791009)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791009)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.12 % (3791009)Time elapsed: 0.004 s
% 8.73/2.12 % (3791009)Peak memory usage: 89 MB
% 8.73/2.12 % (3791009)Instructions burned: 6 (million)
% 8.73/2.12 % (3790997)------------------------------
% 8.73/2.12 % (3790997)------------------------------
% 8.73/2.12 % (3790998)------------------------------
% 8.73/2.12 % (3790998)------------------------------
% 8.73/2.12 % (3791012)lrs+1011_1_sil=32000:sp=occurrence:random_seed=302921132:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.73/2.12 % (3791012)Refutation not found, incomplete strategy
% 8.73/2.12 % (3791012)------------------------------
% 8.73/2.12 % (3791012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791012)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791012)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.12 % (3791012)Time elapsed: 0.003 s
% 8.73/2.12 % (3791012)Peak memory usage: 89 MB
% 8.73/2.12 % (3791012)Instructions burned: 3 (million)
% 8.73/2.12 % (3791008)Instruction limit reached!
% 8.73/2.12 % (3791008)------------------------------
% 8.73/2.12 % (3791008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791008)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791008)Termination reason: Instruction limit
% 8.73/2.12 % (3791008)Termination phase: Saturation
% 8.73/2.12 % (3791008)Time elapsed: 0.176 s
% 8.73/2.12 % (3791008)Peak memory usage: 93 MB
% 8.73/2.12 % (3791008)Instructions burned: 285 (million)
% 8.73/2.12 % (3791013)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=922816670:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.73/2.12 % (3791009)------------------------------
% 8.73/2.12 % (3791009)------------------------------
% 8.73/2.12 % (3791015)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1958390813:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.73/2.12 % (3791013)Instruction limit reached!
% 8.73/2.12 % (3791013)------------------------------
% 8.73/2.12 % (3791013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791013)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791013)Termination reason: Instruction limit
% 8.73/2.12 % (3791013)Termination phase: Saturation
% 8.73/2.12 % (3791013)Time elapsed: 0.128 s
% 8.73/2.12 % (3791013)Peak memory usage: 91 MB
% 8.73/2.12 % (3791013)Instructions burned: 249 (million)
% 8.73/2.12 % (3791015)Refutation not found, incomplete strategy
% 8.73/2.12 % (3791015)------------------------------
% 8.73/2.12 % (3791015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791015)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791015)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.12 % (3791015)Time elapsed: 0.012 s
% 8.73/2.12 % (3791015)Peak memory usage: 89 MB
% 8.73/2.12 % (3791015)Instructions burned: 20 (million)
% 8.73/2.12 % (3791017)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1907942407:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.73/2.12 % (3791012)------------------------------
% 8.73/2.12 % (3791012)------------------------------
% 8.73/2.12 % (3791019)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2015869345:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.73/2.12 % (3791019)Instruction limit reached!
% 8.73/2.12 % (3791019)------------------------------
% 8.73/2.12 % (3791019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791019)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791019)Termination reason: Instruction limit
% 8.73/2.12 % (3791019)Termination phase: Saturation
% 8.73/2.12 % (3791019)Time elapsed: 0.067 s
% 8.73/2.12 % (3791019)Peak memory usage: 90 MB
% 8.73/2.12 % (3791019)Instructions burned: 114 (million)
% 8.73/2.12 % (3791015)------------------------------
% 8.73/2.12 % (3791015)------------------------------
% 8.73/2.12 % (3791021)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=71959048:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.73/2.12 % (3791021)Instruction limit reached!
% 8.73/2.12 % (3791021)------------------------------
% 8.73/2.12 % (3791021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791021)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791021)Termination reason: Instruction limit
% 8.73/2.12 % (3791021)Termination phase: Saturation
% 8.73/2.12 % (3791021)Time elapsed: 0.065 s
% 8.73/2.12 % (3791021)Peak memory usage: 90 MB
% 8.73/2.12 % (3791021)Instructions burned: 127 (million)
% 8.73/2.12 % (3790995)First to succeed.
% 8.73/2.12 % (3790995)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3790989"
% 8.73/2.12 % (3791023)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2891387245:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.73/2.12 % (3791025)lrs+10_1_sil=8000:sp=occurrence:random_seed=522171834:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.73/2.12 % (3791023)Instruction limit reached!
% 8.73/2.12 % (3791023)------------------------------
% 8.73/2.12 % (3791023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791023)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791023)Termination reason: Instruction limit
% 8.73/2.12 % (3791023)Termination phase: Saturation
% 8.73/2.12 % (3791023)Time elapsed: 0.056 s
% 8.73/2.12 % (3791023)Peak memory usage: 89 MB
% 8.73/2.12 % (3791023)Instructions burned: 115 (million)
% 8.73/2.12 % (3791026)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2942078165:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.73/2.12 % (3791026)Refutation not found, incomplete strategy
% 8.73/2.12 % (3791026)------------------------------
% 8.73/2.12 % (3791026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.12 % (3791026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.12 % (3791026)CaDiCaL version: 2.1.3
% 8.73/2.12 % (3791026)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.12 % (3791026)Time elapsed: 0.005 s
% 8.73/2.12 % (3791026)Peak memory usage: 89 MB
% 8.73/2.12 % (3791026)Instructions burned: 7 (million)
% 8.73/2.12 % (3791029)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=224847635:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.73/2.12 % (3790995)Refutation found. Thanks to Tanya!
% 8.73/2.12 % SZS status Theorem for theBenchmark
% 8.73/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 9.58/2.31 % (3790995)------------------------------
% 9.58/2.31 % (3790995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.58/2.31 % (3790995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.58/2.31 % (3790995)CaDiCaL version: 2.1.3
% 9.58/2.31 % (3790995)Termination reason: Refutation
% 9.58/2.31 % (3790995)Time elapsed: 0.850 s
% 9.58/2.31 % (3790995)Peak memory usage: 137 MB
% 9.58/2.31 % (3790995)Instructions burned: 1279 (million)
% 9.58/2.31 % (3790995)------------------------------
% 9.58/2.31 % (3790995)------------------------------
% 9.58/2.31 % (3790989)Success in time 1.277 s
% 9.58/2.31 % Vampire exiting
%------------------------------------------------------------------------------