TPTP Problem File: SWB068+1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWB068+1 : TPTP v9.0.0. Released v5.2.0.
% Domain : Semantic Web
% Problem : N-Ary Individual Difference Extensional
% Version : [Sch11] axioms.
% English : For a group of mutually different individuals, the corresponding
% owl:AllDifferent construct exist.
% Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source : [Sch11]
% Names : rdfbased-sem-ndis-alldifferent-bw [Sch11]
% Status : Theorem
% Rating : 0.79 v9.0.0, 0.78 v8.2.0, 0.83 v8.1.0, 0.72 v7.5.0, 0.78 v7.4.0, 0.67 v7.3.0, 0.69 v7.1.0, 0.61 v7.0.0, 0.83 v6.4.0, 0.85 v6.3.0, 0.79 v6.2.0, 0.80 v6.1.0, 0.83 v6.0.0, 0.91 v5.5.0, 0.89 v5.4.0, 0.93 v5.2.0
% Syntax : Number of formulae : 560 ( 196 unt; 0 def)
% Number of atoms : 1789 ( 90 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 1365 ( 136 ~; 35 |; 773 &)
% ( 126 <=>; 295 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 160 ( 160 usr; 159 con; 0-2 aty)
% Number of variables : 980 ( 911 !; 69 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
%----Include OWL 2 Full axioms
include('Axioms/SWB001+0.ax').
%------------------------------------------------------------------------------
fof(conclusion_rdfbased_sem_ndis_alldifferent_bw,conjecture,
? [X2,X0,X1,X3] :
( iext(uri_rdf_first,X0,uri_ex_w1)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_w2)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_type,X3,uri_owl_AllDifferent)
& iext(uri_owl_members,X3,X0)
& iext(uri_rdf_first,X2,uri_ex_w3)
& iext(uri_rdf_rest,X2,uri_rdf_nil) ) ).
fof(premise_rdfbased_sem_ndis_alldifferent_bw,axiom,
? [X0,X2,X1] :
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_rdf_first,X0,uri_ex_w3)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_first,X1,uri_ex_w2)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X2,uri_ex_w1)
& iext(uri_rdf_rest,X2,X1) ) ).
%------------------------------------------------------------------------------