TPTP Problem File: SWB025+3.p
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%------------------------------------------------------------------------------
% File : SWB025+3 : TPTP v8.2.0. Released v5.2.0.
% Domain : Semantic Web
% Problem : Cyclic Dependencies between Complex Properties
% Version : [Sch11] axioms : Incomplete.
% English :
% Refs : [Sch11] Schneider, M. (2011), Email to G. Sutcliffe
% Source : [Sch11]
% Names : 025_Cyclic_Dependencies_between_Complex_Properties [Sch11]
% Status : CounterSatisfiable
% Rating : 0.67 v8.2.0, 0.00 v8.1.0, 0.33 v7.5.0, 0.67 v7.4.0, 0.33 v7.1.0, 0.67 v6.4.0, 0.25 v6.3.0, 0.50 v6.2.0, 0.89 v6.1.0, 0.90 v6.0.0, 1.00 v5.5.0, 0.86 v5.4.0, 1.00 v5.2.0
% Syntax : Number of formulae : 140 ( 73 unt; 0 def)
% Number of atoms : 327 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 190 ( 3 ~; 3 |; 89 &)
% ( 38 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 11 usr; 0 prp; 1-3 aty)
% Number of functors : 56 ( 56 usr; 56 con; 0-0 aty)
% Number of variables : 164 ( 157 !; 7 ?)
% SPC : FOF_CSA_RFO_NEQ
% Comments :
%------------------------------------------------------------------------------
%----Include ALCO Full Extensional axioms
include('Axioms/SWB002+0.ax').
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties,conjecture,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ) ).
fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,axiom,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ) ).
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