TPTP Problem File: SWB009+2.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWB009+2 : TPTP v9.0.0. Released v5.2.0.
% Domain : Semantic Web
% Problem : Existential Restriction Entailments
% Version : [Sch11] axioms : Reduced > Incomplete.
% English :
% Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source : [Sch11]
% Names : 009_Existential_Restriction_Entailments [Sch11]
% Status : Theorem
% Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0
% Syntax : Number of formulae : 4 ( 0 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 11 ( 0 ~; 0 |; 8 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 2 usr; 0 prp; 2-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 9 ( 6 !; 3 ?)
% SPC : FOF_THM_RFO_NEQ
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ).
fof(owl_restrict_somevaluesfrom,axiom,
! [Z,P,C] :
( ( iext(uri_owl_someValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X] :
( icext(Z,X)
<=> ? [Y] :
( iext(P,X,Y)
& icext(C,Y) ) ) ) ).
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
? [BNODE_x] :
( iext(uri_ex_p,uri_ex_s,BNODE_x)
& iext(uri_rdf_type,BNODE_x,uri_ex_c) ) ).
fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
? [BNODE_z] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_s,BNODE_z)
& iext(uri_rdf_type,BNODE_z,uri_owl_Restriction)
& iext(uri_owl_onProperty,BNODE_z,uri_ex_p)
& iext(uri_owl_someValuesFrom,BNODE_z,uri_ex_c) ) ).
%------------------------------------------------------------------------------