TSTP Solution File: SWB022+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 19:15:26 EDT 2022
% Result : Theorem 17.45s 17.69s
% Output : CNFRefutation 17.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 221 ( 94 unt; 0 def)
% Number of atoms : 963 ( 0 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 1296 ( 554 ~; 537 |; 190 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 455 ( 0 sgn 138 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_subpropertyof_main,axiom,
! [P,Q] :
( iext(uri_rdfs_subPropertyOf,P,Q)
=> ( ip(P)
& ip(Q)
& ! [X,Y] :
( iext(P,X,Y)
=> iext(Q,X,Y) ) ) ) ).
fof(owl_chain_002,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_first,S1,P1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S2,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ip(P)
& ip(P1)
& ip(P2)
& ! [Y0,Y1,Y2] :
( ( iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) )
=> iext(P,Y0,Y2) ) ) ) ) ).
fof(testcase_conclusion_fullish_022_List_Member_Access,conjecture,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ) ).
fof(testcase_premise_fullish_022_List_Member_Access,axiom,
? [BNODE_pL,BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33] :
( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil) ) ).
fof(subgoal_0,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(strip,[],[testcase_conclusion_fullish_022_List_Member_Access]) ).
fof(subgoal_1,plain,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(strip,[],[testcase_conclusion_fullish_022_List_Member_Access]) ).
fof(subgoal_2,plain,
( ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) )
=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(strip,[],[testcase_conclusion_fullish_022_List_Member_Access]) ).
fof(negate_0_0,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33,BNODE_pL] :
( iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31) ),
inference(canonicalize,[],[testcase_premise_fullish_022_List_Member_Access]) ).
fof(normalize_0_1,plain,
( iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l31,uri_ex_X)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l32,uri_ex_Y)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l32,skolemFOFtoCNF_BNODE_l33)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [P,Q] :
( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ( ip(P)
& ip(Q)
& ! [X,Y] :
( ~ iext(P,X,Y)
| iext(Q,X,Y) ) ) ),
inference(canonicalize,[],[rdfs_subpropertyof_main]) ).
fof(normalize_0_5,plain,
! [P,Q] :
( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ( ip(P)
& ip(Q)
& ! [X,Y] :
( ~ iext(P,X,Y)
| iext(Q,X,Y) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [P,Q,X,Y] :
( ( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ip(P) )
& ( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ip(Q) )
& ( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [P,Q,X,Y] :
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l31,uri_ex_X),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(canonicalize,[],[owl_chain_002]) ).
fof(normalize_0_14,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P1) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P2) )
& ( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) )
& ( ~ iext(P,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y1(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P2,skolemFOFtoCNF_Y1(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_18,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X_11)
| ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31)
| iext(X_11,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(subst,[],[refute_0_2:[bind(P,$fot(uri_skos_memberList)),bind(Q,$fot(X_11)),bind(X,$fot(uri_ex_MyOrderedCollection)),bind(Y,$fot(skolemFOFtoCNF_BNODE_l31))]]) ).
cnf(refute_0_4,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X_11)
| iext(X_11,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(resolve,[$cnf( iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL)
| iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(subst,[],[refute_0_4:[bind(X_11,$fot(skolemFOFtoCNF_BNODE_pL))]]) ).
cnf(refute_0_6,plain,
iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(resolve,[$cnf( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_8,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l31,uri_ex_X),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_11,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_12,plain,
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_13,plain,
( ~ iext(X_2171,X_2175,X_2176)
| ~ iext(X_2172,X_2176,X_2177)
| ~ iext(uri_owl_propertyChainAxiom,X_2170,X_2173)
| ~ iext(uri_rdf_first,X_2173,X_2171)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_2172)
| ~ iext(uri_rdf_rest,X_2173,skolemFOFtoCNF_BNODE_l12)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
| iext(X_2170,X_2175,X_2177) ),
inference(subst,[],[refute_0_12:[bind(P,$fot(X_2170)),bind(P1,$fot(X_2171)),bind(P2,$fot(X_2172)),bind(S1,$fot(X_2173)),bind(S2,$fot(skolemFOFtoCNF_BNODE_l12)),bind(Y0,$fot(X_2175)),bind(Y1,$fot(X_2176)),bind(Y2,$fot(X_2177))]]) ).
cnf(refute_0_14,plain,
( ~ iext(X_2171,X_2175,X_2176)
| ~ iext(X_2172,X_2176,X_2177)
| ~ iext(uri_owl_propertyChainAxiom,X_2170,X_2173)
| ~ iext(uri_rdf_first,X_2173,X_2171)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_2172)
| ~ iext(uri_rdf_rest,X_2173,skolemFOFtoCNF_BNODE_l12)
| iext(X_2170,X_2175,X_2177) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ iext(X_4106,X_4109,X_4110)
| ~ iext(X_4107,X_4110,X_4111)
| ~ iext(uri_owl_propertyChainAxiom,X_4105,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_4106)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_4107)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
| iext(X_4105,X_4109,X_4111) ),
inference(subst,[],[refute_0_14:[bind(X_2170,$fot(X_4105)),bind(X_2171,$fot(X_4106)),bind(X_2172,$fot(X_4107)),bind(X_2173,$fot(skolemFOFtoCNF_BNODE_l11)),bind(X_2175,$fot(X_4109)),bind(X_2176,$fot(X_4110)),bind(X_2177,$fot(X_4111))]]) ).
cnf(refute_0_16,plain,
( ~ iext(X_4106,X_4109,X_4110)
| ~ iext(X_4107,X_4110,X_4111)
| ~ iext(uri_owl_propertyChainAxiom,X_4105,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_4106)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_4107)
| iext(X_4105,X_4109,X_4111) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ iext(X_4269,X_4271,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_4268,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_4269)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l31,uri_ex_X)
| iext(X_4268,X_4271,uri_ex_X) ),
inference(subst,[],[refute_0_16:[bind(X_4105,$fot(X_4268)),bind(X_4106,$fot(X_4269)),bind(X_4107,$fot(uri_rdf_first)),bind(X_4109,$fot(X_4271)),bind(X_4110,$fot(skolemFOFtoCNF_BNODE_l31)),bind(X_4111,$fot(uri_ex_X))]]) ).
cnf(refute_0_18,plain,
( ~ iext(X_4269,X_4271,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_4268,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_4269)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
| iext(X_4268,X_4271,uri_ex_X) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l31,uri_ex_X) )],[refute_0_9,refute_0_17]) ).
cnf(refute_0_19,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_20,plain,
( ~ iext(X_4269,X_4271,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_4268,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_4269)
| iext(X_4268,X_4271,uri_ex_X) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_4328,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_4326,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL)
| iext(X_4326,X_4328,uri_ex_X) ),
inference(subst,[],[refute_0_20:[bind(X_4268,$fot(X_4326)),bind(X_4269,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_4271,$fot(X_4328))]]) ).
cnf(refute_0_22,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_4328,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_4326,skolemFOFtoCNF_BNODE_l11)
| iext(X_4326,X_4328,uri_ex_X) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL) )],[refute_0_8,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_4330,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11)
| iext(uri_skos_member,X_4330,uri_ex_X) ),
inference(subst,[],[refute_0_22:[bind(X_4326,$fot(uri_skos_member)),bind(X_4328,$fot(X_4330))]]) ).
cnf(refute_0_24,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_4330,skolemFOFtoCNF_BNODE_l31)
| iext(uri_skos_member,X_4330,uri_ex_X) ),
inference(resolve,[$cnf( iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11) )],[refute_0_7,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(subst,[],[refute_0_24:[bind(X_4330,$fot(uri_ex_MyOrderedCollection))]]) ).
cnf(refute_0_26,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(resolve,[$cnf( iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) )],[refute_0_6,refute_0_25]) ).
cnf(refute_0_27,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_28,plain,
$false,
inference(resolve,[$cnf( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) )],[refute_0_26,refute_0_27]) ).
fof(negate_1_0,plain,
~ ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33,BNODE_pL] :
( iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31) ),
inference(canonicalize,[],[testcase_premise_fullish_022_List_Member_Access]) ).
fof(normalize_1_1,plain,
( iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l31,uri_ex_X)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l32,uri_ex_Y)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l32,skolemFOFtoCNF_BNODE_l33)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_4,plain,
! [P,Q] :
( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ( ip(P)
& ip(Q)
& ! [X,Y] :
( ~ iext(P,X,Y)
| iext(Q,X,Y) ) ) ),
inference(canonicalize,[],[rdfs_subpropertyof_main]) ).
fof(normalize_1_5,plain,
! [P,Q] :
( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ( ip(P)
& ip(Q)
& ! [X,Y] :
( ~ iext(P,X,Y)
| iext(Q,X,Y) ) ) ),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [P,Q,X,Y] :
( ( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ip(P) )
& ( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ip(Q) )
& ( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ) ),
inference(clausify,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [P,Q,X,Y] :
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_10,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_11,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_12,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_13,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(canonicalize,[],[owl_chain_002]) ).
fof(normalize_1_14,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(specialize,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P1) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P2) )
& ( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) )
& ( ~ iext(P,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y1(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P2,skolemFOFtoCNF_Y1(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) ) ),
inference(clausify,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(conjunct,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_18,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_19,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_20,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l32,uri_ex_Y),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_21,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_22,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_23,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_24,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_25,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(conjunct,[],[normalize_1_24]) ).
cnf(refute_1_0,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_3,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X_4343)
| ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31)
| iext(X_4343,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(subst,[],[refute_1_2:[bind(P,$fot(uri_skos_memberList)),bind(Q,$fot(X_4343)),bind(X,$fot(uri_ex_MyOrderedCollection)),bind(Y,$fot(skolemFOFtoCNF_BNODE_l31))]]) ).
cnf(refute_1_4,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X_4343)
| iext(X_4343,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(resolve,[$cnf( iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) )],[refute_1_1,refute_1_3]) ).
cnf(refute_1_5,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL)
| iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(subst,[],[refute_1_4:[bind(X_4343,$fot(skolemFOFtoCNF_BNODE_pL))]]) ).
cnf(refute_1_6,plain,
iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(resolve,[$cnf( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL) )],[refute_1_0,refute_1_5]) ).
cnf(refute_1_7,plain,
iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_8,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_9,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_10,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_11,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_12,plain,
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_13,plain,
( ~ iext(X_6633,X_6637,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_6632,X_6635)
| ~ iext(uri_rdf_first,X_6635,X_6633)
| ~ iext(uri_rdf_first,X_6636,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_6635,X_6636)
| ~ iext(uri_rdf_rest,X_6636,uri_rdf_nil)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32)
| iext(X_6632,X_6637,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_1_12:[bind(P,$fot(X_6632)),bind(P1,$fot(X_6633)),bind(P2,$fot(uri_rdf_rest)),bind(S1,$fot(X_6635)),bind(S2,$fot(X_6636)),bind(Y0,$fot(X_6637)),bind(Y1,$fot(skolemFOFtoCNF_BNODE_l31)),bind(Y2,$fot(skolemFOFtoCNF_BNODE_l32))]]) ).
cnf(refute_1_14,plain,
( ~ iext(X_6633,X_6637,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_6632,X_6635)
| ~ iext(uri_rdf_first,X_6635,X_6633)
| ~ iext(uri_rdf_first,X_6636,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_6635,X_6636)
| ~ iext(uri_rdf_rest,X_6636,uri_rdf_nil)
| iext(X_6632,X_6637,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32) )],[refute_1_11,refute_1_13]) ).
cnf(refute_1_15,plain,
( ~ iext(X_7415,X_7418,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_7414,X_7416)
| ~ iext(uri_rdf_first,X_7416,X_7415)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_7416,skolemFOFtoCNF_BNODE_l22)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil)
| iext(X_7414,X_7418,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_1_14:[bind(X_6632,$fot(X_7414)),bind(X_6633,$fot(X_7415)),bind(X_6635,$fot(X_7416)),bind(X_6636,$fot(skolemFOFtoCNF_BNODE_l22)),bind(X_6637,$fot(X_7418))]]) ).
cnf(refute_1_16,plain,
( ~ iext(X_7415,X_7418,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_7414,X_7416)
| ~ iext(uri_rdf_first,X_7416,X_7415)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_7416,skolemFOFtoCNF_BNODE_l22)
| iext(X_7414,X_7418,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil) )],[refute_1_10,refute_1_15]) ).
cnf(refute_1_17,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_18,plain,
( ~ iext(X_7415,X_7418,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_7414,X_7416)
| ~ iext(uri_rdf_first,X_7416,X_7415)
| ~ iext(uri_rdf_rest,X_7416,skolemFOFtoCNF_BNODE_l22)
| iext(X_7414,X_7418,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest) )],[refute_1_17,refute_1_16]) ).
cnf(refute_1_19,plain,
( ~ iext(X_7420,X_7422,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_7419,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_7420)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
| iext(X_7419,X_7422,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_1_18:[bind(X_7414,$fot(X_7419)),bind(X_7415,$fot(X_7420)),bind(X_7416,$fot(skolemFOFtoCNF_BNODE_l21)),bind(X_7418,$fot(X_7422))]]) ).
cnf(refute_1_20,plain,
( ~ iext(X_7420,X_7422,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_7419,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_7420)
| iext(X_7419,X_7422,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22) )],[refute_1_9,refute_1_19]) ).
cnf(refute_1_21,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_7425,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_7423,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL)
| iext(X_7423,X_7425,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_1_20:[bind(X_7419,$fot(X_7423)),bind(X_7420,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_7422,$fot(X_7425))]]) ).
cnf(refute_1_22,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_7425,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_7423,skolemFOFtoCNF_BNODE_l21)
| iext(X_7423,X_7425,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL) )],[refute_1_8,refute_1_21]) ).
cnf(refute_1_23,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_7427,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21)
| iext(skolemFOFtoCNF_BNODE_pL,X_7427,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_1_22:[bind(X_7423,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_7425,$fot(X_7427))]]) ).
cnf(refute_1_24,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_7427,skolemFOFtoCNF_BNODE_l31)
| iext(skolemFOFtoCNF_BNODE_pL,X_7427,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21) )],[refute_1_7,refute_1_23]) ).
cnf(refute_1_25,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31)
| iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_1_24:[bind(X_7427,$fot(uri_ex_MyOrderedCollection))]]) ).
cnf(refute_1_26,plain,
iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l32),
inference(resolve,[$cnf( iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) )],[refute_1_6,refute_1_25]) ).
cnf(refute_1_27,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_28,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_29,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l32,uri_ex_Y),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_30,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_31,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_32,plain,
( ~ iext(X_6633,X_6637,X_6638)
| ~ iext(X_6634,X_6638,X_6639)
| ~ iext(uri_owl_propertyChainAxiom,X_6632,X_6635)
| ~ iext(uri_rdf_first,X_6635,X_6633)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_6634)
| ~ iext(uri_rdf_rest,X_6635,skolemFOFtoCNF_BNODE_l12)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
| iext(X_6632,X_6637,X_6639) ),
inference(subst,[],[refute_1_12:[bind(P,$fot(X_6632)),bind(P1,$fot(X_6633)),bind(P2,$fot(X_6634)),bind(S1,$fot(X_6635)),bind(S2,$fot(skolemFOFtoCNF_BNODE_l12)),bind(Y0,$fot(X_6637)),bind(Y1,$fot(X_6638)),bind(Y2,$fot(X_6639))]]) ).
cnf(refute_1_33,plain,
( ~ iext(X_6633,X_6637,X_6638)
| ~ iext(X_6634,X_6638,X_6639)
| ~ iext(uri_owl_propertyChainAxiom,X_6632,X_6635)
| ~ iext(uri_rdf_first,X_6635,X_6633)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_6634)
| ~ iext(uri_rdf_rest,X_6635,skolemFOFtoCNF_BNODE_l12)
| iext(X_6632,X_6637,X_6639) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
( ~ iext(X_8536,X_8539,X_8540)
| ~ iext(X_8537,X_8540,X_8541)
| ~ iext(uri_owl_propertyChainAxiom,X_8535,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_8536)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_8537)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
| iext(X_8535,X_8539,X_8541) ),
inference(subst,[],[refute_1_33:[bind(X_6632,$fot(X_8535)),bind(X_6633,$fot(X_8536)),bind(X_6634,$fot(X_8537)),bind(X_6635,$fot(skolemFOFtoCNF_BNODE_l11)),bind(X_6637,$fot(X_8539)),bind(X_6638,$fot(X_8540)),bind(X_6639,$fot(X_8541))]]) ).
cnf(refute_1_35,plain,
( ~ iext(X_8536,X_8539,X_8540)
| ~ iext(X_8537,X_8540,X_8541)
| ~ iext(uri_owl_propertyChainAxiom,X_8535,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_8536)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_8537)
| iext(X_8535,X_8539,X_8541) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12) )],[refute_1_30,refute_1_34]) ).
cnf(refute_1_36,plain,
( ~ iext(X_8695,X_8697,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_8694,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_8695)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l32,uri_ex_Y)
| iext(X_8694,X_8697,uri_ex_Y) ),
inference(subst,[],[refute_1_35:[bind(X_8535,$fot(X_8694)),bind(X_8536,$fot(X_8695)),bind(X_8537,$fot(uri_rdf_first)),bind(X_8539,$fot(X_8697)),bind(X_8540,$fot(skolemFOFtoCNF_BNODE_l32)),bind(X_8541,$fot(uri_ex_Y))]]) ).
cnf(refute_1_37,plain,
( ~ iext(X_8695,X_8697,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_8694,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_8695)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
| iext(X_8694,X_8697,uri_ex_Y) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l32,uri_ex_Y) )],[refute_1_29,refute_1_36]) ).
cnf(refute_1_38,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_39,plain,
( ~ iext(X_8695,X_8697,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_8694,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_8695)
| iext(X_8694,X_8697,uri_ex_Y) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first) )],[refute_1_38,refute_1_37]) ).
cnf(refute_1_40,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_8741,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_8739,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL)
| iext(X_8739,X_8741,uri_ex_Y) ),
inference(subst,[],[refute_1_39:[bind(X_8694,$fot(X_8739)),bind(X_8695,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_8697,$fot(X_8741))]]) ).
cnf(refute_1_41,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_8741,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_8739,skolemFOFtoCNF_BNODE_l11)
| iext(X_8739,X_8741,uri_ex_Y) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL) )],[refute_1_28,refute_1_40]) ).
cnf(refute_1_42,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_8743,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11)
| iext(uri_skos_member,X_8743,uri_ex_Y) ),
inference(subst,[],[refute_1_41:[bind(X_8739,$fot(uri_skos_member)),bind(X_8741,$fot(X_8743))]]) ).
cnf(refute_1_43,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_8743,skolemFOFtoCNF_BNODE_l32)
| iext(uri_skos_member,X_8743,uri_ex_Y) ),
inference(resolve,[$cnf( iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11) )],[refute_1_27,refute_1_42]) ).
cnf(refute_1_44,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l32)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(subst,[],[refute_1_43:[bind(X_8743,$fot(uri_ex_MyOrderedCollection))]]) ).
cnf(refute_1_45,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(resolve,[$cnf( iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l32) )],[refute_1_26,refute_1_44]) ).
cnf(refute_1_46,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_47,plain,
$false,
inference(resolve,[$cnf( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) )],[refute_1_45,refute_1_46]) ).
fof(negate_2_0,plain,
~ ( ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) )
=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33,BNODE_pL] :
( iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31) ),
inference(canonicalize,[],[testcase_premise_fullish_022_List_Member_Access]) ).
fof(normalize_2_1,plain,
( iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l31,uri_ex_X)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l32,uri_ex_Y)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l32,skolemFOFtoCNF_BNODE_l33)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(skolemize,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_3,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_4,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_5,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_6,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l32,skolemFOFtoCNF_BNODE_l33),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_7,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(canonicalize,[],[owl_chain_002]) ).
fof(normalize_2_8,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(specialize,[],[normalize_2_7]) ).
fof(normalize_2_9,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P1) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P2) )
& ( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) )
& ( ~ iext(P,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y1(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P2,skolemFOFtoCNF_Y1(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) ) ),
inference(clausify,[],[normalize_2_8]) ).
fof(normalize_2_10,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(conjunct,[],[normalize_2_9]) ).
fof(normalize_2_11,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_12,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_13,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_14,plain,
! [P,Q] :
( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ( ip(P)
& ip(Q)
& ! [X,Y] :
( ~ iext(P,X,Y)
| iext(Q,X,Y) ) ) ),
inference(canonicalize,[],[rdfs_subpropertyof_main]) ).
fof(normalize_2_15,plain,
! [P,Q] :
( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ( ip(P)
& ip(Q)
& ! [X,Y] :
( ~ iext(P,X,Y)
| iext(Q,X,Y) ) ) ),
inference(specialize,[],[normalize_2_14]) ).
fof(normalize_2_16,plain,
! [P,Q,X,Y] :
( ( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ip(P) )
& ( ~ iext(uri_rdfs_subPropertyOf,P,Q)
| ip(Q) )
& ( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ) ),
inference(clausify,[],[normalize_2_15]) ).
fof(normalize_2_17,plain,
! [P,Q,X,Y] :
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ),
inference(conjunct,[],[normalize_2_16]) ).
fof(normalize_2_18,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_19,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_20,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_21,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l33,uri_ex_Z),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_22,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_23,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_24,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first),
inference(conjunct,[],[normalize_2_1]) ).
fof(normalize_2_25,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_26,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(conjunct,[],[normalize_2_25]) ).
cnf(refute_2_0,plain,
iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21),
inference(canonicalize,[],[normalize_2_2]) ).
cnf(refute_2_1,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL),
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22),
inference(canonicalize,[],[normalize_2_4]) ).
cnf(refute_2_3,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil),
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_4,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l32,skolemFOFtoCNF_BNODE_l33),
inference(canonicalize,[],[normalize_2_6]) ).
cnf(refute_2_5,plain,
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_6,plain,
( ~ iext(X_11052,X_11056,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11051,X_11054)
| ~ iext(uri_rdf_first,X_11054,X_11052)
| ~ iext(uri_rdf_first,X_11055,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_11054,X_11055)
| ~ iext(uri_rdf_rest,X_11055,uri_rdf_nil)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l32,skolemFOFtoCNF_BNODE_l33)
| iext(X_11051,X_11056,skolemFOFtoCNF_BNODE_l33) ),
inference(subst,[],[refute_2_5:[bind(P,$fot(X_11051)),bind(P1,$fot(X_11052)),bind(P2,$fot(uri_rdf_rest)),bind(S1,$fot(X_11054)),bind(S2,$fot(X_11055)),bind(Y0,$fot(X_11056)),bind(Y1,$fot(skolemFOFtoCNF_BNODE_l32)),bind(Y2,$fot(skolemFOFtoCNF_BNODE_l33))]]) ).
cnf(refute_2_7,plain,
( ~ iext(X_11052,X_11056,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11051,X_11054)
| ~ iext(uri_rdf_first,X_11054,X_11052)
| ~ iext(uri_rdf_first,X_11055,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_11054,X_11055)
| ~ iext(uri_rdf_rest,X_11055,uri_rdf_nil)
| iext(X_11051,X_11056,skolemFOFtoCNF_BNODE_l33) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l32,skolemFOFtoCNF_BNODE_l33) )],[refute_2_4,refute_2_6]) ).
cnf(refute_2_8,plain,
( ~ iext(X_11960,X_11963,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11959,X_11961)
| ~ iext(uri_rdf_first,X_11961,X_11960)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_11961,skolemFOFtoCNF_BNODE_l22)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil)
| iext(X_11959,X_11963,skolemFOFtoCNF_BNODE_l33) ),
inference(subst,[],[refute_2_7:[bind(X_11051,$fot(X_11959)),bind(X_11052,$fot(X_11960)),bind(X_11054,$fot(X_11961)),bind(X_11055,$fot(skolemFOFtoCNF_BNODE_l22)),bind(X_11056,$fot(X_11963))]]) ).
cnf(refute_2_9,plain,
( ~ iext(X_11960,X_11963,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11959,X_11961)
| ~ iext(uri_rdf_first,X_11961,X_11960)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_11961,skolemFOFtoCNF_BNODE_l22)
| iext(X_11959,X_11963,skolemFOFtoCNF_BNODE_l33) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil) )],[refute_2_3,refute_2_8]) ).
cnf(refute_2_10,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_11,plain,
( ~ iext(X_11960,X_11963,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11959,X_11961)
| ~ iext(uri_rdf_first,X_11961,X_11960)
| ~ iext(uri_rdf_rest,X_11961,skolemFOFtoCNF_BNODE_l22)
| iext(X_11959,X_11963,skolemFOFtoCNF_BNODE_l33) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest) )],[refute_2_10,refute_2_9]) ).
cnf(refute_2_12,plain,
( ~ iext(X_11965,X_11967,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11964,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_11965)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
| iext(X_11964,X_11967,skolemFOFtoCNF_BNODE_l33) ),
inference(subst,[],[refute_2_11:[bind(X_11959,$fot(X_11964)),bind(X_11960,$fot(X_11965)),bind(X_11961,$fot(skolemFOFtoCNF_BNODE_l21)),bind(X_11963,$fot(X_11967))]]) ).
cnf(refute_2_13,plain,
( ~ iext(X_11965,X_11967,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11964,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_11965)
| iext(X_11964,X_11967,skolemFOFtoCNF_BNODE_l33) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22) )],[refute_2_2,refute_2_12]) ).
cnf(refute_2_14,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_11970,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11968,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL)
| iext(X_11968,X_11970,skolemFOFtoCNF_BNODE_l33) ),
inference(subst,[],[refute_2_13:[bind(X_11964,$fot(X_11968)),bind(X_11965,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_11967,$fot(X_11970))]]) ).
cnf(refute_2_15,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_11970,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,X_11968,skolemFOFtoCNF_BNODE_l21)
| iext(X_11968,X_11970,skolemFOFtoCNF_BNODE_l33) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL) )],[refute_2_1,refute_2_14]) ).
cnf(refute_2_16,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_11972,skolemFOFtoCNF_BNODE_l32)
| ~ iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21)
| iext(skolemFOFtoCNF_BNODE_pL,X_11972,skolemFOFtoCNF_BNODE_l33) ),
inference(subst,[],[refute_2_15:[bind(X_11968,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_11970,$fot(X_11972))]]) ).
cnf(refute_2_17,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_11972,skolemFOFtoCNF_BNODE_l32)
| iext(skolemFOFtoCNF_BNODE_pL,X_11972,skolemFOFtoCNF_BNODE_l33) ),
inference(resolve,[$cnf( iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21) )],[refute_2_0,refute_2_16]) ).
cnf(refute_2_18,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l32)
| iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l33) ),
inference(subst,[],[refute_2_17:[bind(X_11972,$fot(uri_ex_MyOrderedCollection))]]) ).
cnf(refute_2_19,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_20,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_21,plain,
( ~ iext(P,X,Y)
| ~ iext(uri_rdfs_subPropertyOf,P,Q)
| iext(Q,X,Y) ),
inference(canonicalize,[],[normalize_2_17]) ).
cnf(refute_2_22,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X_8756)
| ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31)
| iext(X_8756,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(subst,[],[refute_2_21:[bind(P,$fot(uri_skos_memberList)),bind(Q,$fot(X_8756)),bind(X,$fot(uri_ex_MyOrderedCollection)),bind(Y,$fot(skolemFOFtoCNF_BNODE_l31))]]) ).
cnf(refute_2_23,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X_8756)
| iext(X_8756,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(resolve,[$cnf( iext(uri_skos_memberList,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) )],[refute_2_20,refute_2_22]) ).
cnf(refute_2_24,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL)
| iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) ),
inference(subst,[],[refute_2_23:[bind(X_8756,$fot(skolemFOFtoCNF_BNODE_pL))]]) ).
cnf(refute_2_25,plain,
iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31),
inference(resolve,[$cnf( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,skolemFOFtoCNF_BNODE_pL) )],[refute_2_19,refute_2_24]) ).
cnf(refute_2_26,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32),
inference(canonicalize,[],[normalize_2_18]) ).
cnf(refute_2_27,plain,
( ~ iext(X_11052,X_11056,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_11051,X_11054)
| ~ iext(uri_rdf_first,X_11054,X_11052)
| ~ iext(uri_rdf_first,X_11055,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_11054,X_11055)
| ~ iext(uri_rdf_rest,X_11055,uri_rdf_nil)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32)
| iext(X_11051,X_11056,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_2_5:[bind(P,$fot(X_11051)),bind(P1,$fot(X_11052)),bind(P2,$fot(uri_rdf_rest)),bind(S1,$fot(X_11054)),bind(S2,$fot(X_11055)),bind(Y0,$fot(X_11056)),bind(Y1,$fot(skolemFOFtoCNF_BNODE_l31)),bind(Y2,$fot(skolemFOFtoCNF_BNODE_l32))]]) ).
cnf(refute_2_28,plain,
( ~ iext(X_11052,X_11056,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_11051,X_11054)
| ~ iext(uri_rdf_first,X_11054,X_11052)
| ~ iext(uri_rdf_first,X_11055,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_11054,X_11055)
| ~ iext(uri_rdf_rest,X_11055,uri_rdf_nil)
| iext(X_11051,X_11056,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l31,skolemFOFtoCNF_BNODE_l32) )],[refute_2_26,refute_2_27]) ).
cnf(refute_2_29,plain,
( ~ iext(X_12013,X_12016,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_12012,X_12014)
| ~ iext(uri_rdf_first,X_12014,X_12013)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_12014,skolemFOFtoCNF_BNODE_l22)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil)
| iext(X_12012,X_12016,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_2_28:[bind(X_11051,$fot(X_12012)),bind(X_11052,$fot(X_12013)),bind(X_11054,$fot(X_12014)),bind(X_11055,$fot(skolemFOFtoCNF_BNODE_l22)),bind(X_11056,$fot(X_12016))]]) ).
cnf(refute_2_30,plain,
( ~ iext(X_12013,X_12016,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_12012,X_12014)
| ~ iext(uri_rdf_first,X_12014,X_12013)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest)
| ~ iext(uri_rdf_rest,X_12014,skolemFOFtoCNF_BNODE_l22)
| iext(X_12012,X_12016,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil) )],[refute_2_3,refute_2_29]) ).
cnf(refute_2_31,plain,
( ~ iext(X_12013,X_12016,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_12012,X_12014)
| ~ iext(uri_rdf_first,X_12014,X_12013)
| ~ iext(uri_rdf_rest,X_12014,skolemFOFtoCNF_BNODE_l22)
| iext(X_12012,X_12016,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,uri_rdf_rest) )],[refute_2_10,refute_2_30]) ).
cnf(refute_2_32,plain,
( ~ iext(X_12018,X_12020,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_12017,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_12018)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
| iext(X_12017,X_12020,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_2_31:[bind(X_12012,$fot(X_12017)),bind(X_12013,$fot(X_12018)),bind(X_12014,$fot(skolemFOFtoCNF_BNODE_l21)),bind(X_12016,$fot(X_12020))]]) ).
cnf(refute_2_33,plain,
( ~ iext(X_12018,X_12020,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_12017,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_12018)
| iext(X_12017,X_12020,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22) )],[refute_2_2,refute_2_32]) ).
cnf(refute_2_34,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_12023,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_12021,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL)
| iext(X_12021,X_12023,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_2_33:[bind(X_12017,$fot(X_12021)),bind(X_12018,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_12020,$fot(X_12023))]]) ).
cnf(refute_2_35,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_12023,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,X_12021,skolemFOFtoCNF_BNODE_l21)
| iext(X_12021,X_12023,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_pL) )],[refute_2_1,refute_2_34]) ).
cnf(refute_2_36,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_12025,skolemFOFtoCNF_BNODE_l31)
| ~ iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21)
| iext(skolemFOFtoCNF_BNODE_pL,X_12025,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_2_35:[bind(X_12021,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_12023,$fot(X_12025))]]) ).
cnf(refute_2_37,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_12025,skolemFOFtoCNF_BNODE_l31)
| iext(skolemFOFtoCNF_BNODE_pL,X_12025,skolemFOFtoCNF_BNODE_l32) ),
inference(resolve,[$cnf( iext(uri_owl_propertyChainAxiom,skolemFOFtoCNF_BNODE_pL,skolemFOFtoCNF_BNODE_l21) )],[refute_2_0,refute_2_36]) ).
cnf(refute_2_38,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31)
| iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l32) ),
inference(subst,[],[refute_2_37:[bind(X_12025,$fot(uri_ex_MyOrderedCollection))]]) ).
cnf(refute_2_39,plain,
iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l32),
inference(resolve,[$cnf( iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l31) )],[refute_2_25,refute_2_38]) ).
cnf(refute_2_40,plain,
iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l33),
inference(resolve,[$cnf( iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l32) )],[refute_2_39,refute_2_18]) ).
cnf(refute_2_41,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11),
inference(canonicalize,[],[normalize_2_19]) ).
cnf(refute_2_42,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL),
inference(canonicalize,[],[normalize_2_20]) ).
cnf(refute_2_43,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l33,uri_ex_Z),
inference(canonicalize,[],[normalize_2_21]) ).
cnf(refute_2_44,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12),
inference(canonicalize,[],[normalize_2_22]) ).
cnf(refute_2_45,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil),
inference(canonicalize,[],[normalize_2_23]) ).
cnf(refute_2_46,plain,
( ~ iext(X_11052,X_11056,X_11057)
| ~ iext(X_11053,X_11057,X_11058)
| ~ iext(uri_owl_propertyChainAxiom,X_11051,X_11054)
| ~ iext(uri_rdf_first,X_11054,X_11052)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_11053)
| ~ iext(uri_rdf_rest,X_11054,skolemFOFtoCNF_BNODE_l12)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
| iext(X_11051,X_11056,X_11058) ),
inference(subst,[],[refute_2_5:[bind(P,$fot(X_11051)),bind(P1,$fot(X_11052)),bind(P2,$fot(X_11053)),bind(S1,$fot(X_11054)),bind(S2,$fot(skolemFOFtoCNF_BNODE_l12)),bind(Y0,$fot(X_11056)),bind(Y1,$fot(X_11057)),bind(Y2,$fot(X_11058))]]) ).
cnf(refute_2_47,plain,
( ~ iext(X_11052,X_11056,X_11057)
| ~ iext(X_11053,X_11057,X_11058)
| ~ iext(uri_owl_propertyChainAxiom,X_11051,X_11054)
| ~ iext(uri_rdf_first,X_11054,X_11052)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_11053)
| ~ iext(uri_rdf_rest,X_11054,skolemFOFtoCNF_BNODE_l12)
| iext(X_11051,X_11056,X_11058) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil) )],[refute_2_45,refute_2_46]) ).
cnf(refute_2_48,plain,
( ~ iext(X_13754,X_13757,X_13758)
| ~ iext(X_13755,X_13758,X_13759)
| ~ iext(uri_owl_propertyChainAxiom,X_13753,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_13754)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_13755)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
| iext(X_13753,X_13757,X_13759) ),
inference(subst,[],[refute_2_47:[bind(X_11051,$fot(X_13753)),bind(X_11052,$fot(X_13754)),bind(X_11053,$fot(X_13755)),bind(X_11054,$fot(skolemFOFtoCNF_BNODE_l11)),bind(X_11056,$fot(X_13757)),bind(X_11057,$fot(X_13758)),bind(X_11058,$fot(X_13759))]]) ).
cnf(refute_2_49,plain,
( ~ iext(X_13754,X_13757,X_13758)
| ~ iext(X_13755,X_13758,X_13759)
| ~ iext(uri_owl_propertyChainAxiom,X_13753,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_13754)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_13755)
| iext(X_13753,X_13757,X_13759) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12) )],[refute_2_44,refute_2_48]) ).
cnf(refute_2_50,plain,
( ~ iext(X_13969,X_13971,skolemFOFtoCNF_BNODE_l33)
| ~ iext(uri_owl_propertyChainAxiom,X_13968,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_13969)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l33,uri_ex_Z)
| iext(X_13968,X_13971,uri_ex_Z) ),
inference(subst,[],[refute_2_49:[bind(X_13753,$fot(X_13968)),bind(X_13754,$fot(X_13969)),bind(X_13755,$fot(uri_rdf_first)),bind(X_13757,$fot(X_13971)),bind(X_13758,$fot(skolemFOFtoCNF_BNODE_l33)),bind(X_13759,$fot(uri_ex_Z))]]) ).
cnf(refute_2_51,plain,
( ~ iext(X_13969,X_13971,skolemFOFtoCNF_BNODE_l33)
| ~ iext(uri_owl_propertyChainAxiom,X_13968,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_13969)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first)
| iext(X_13968,X_13971,uri_ex_Z) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l33,uri_ex_Z) )],[refute_2_43,refute_2_50]) ).
cnf(refute_2_52,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first),
inference(canonicalize,[],[normalize_2_24]) ).
cnf(refute_2_53,plain,
( ~ iext(X_13969,X_13971,skolemFOFtoCNF_BNODE_l33)
| ~ iext(uri_owl_propertyChainAxiom,X_13968,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_13969)
| iext(X_13968,X_13971,uri_ex_Z) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_rdf_first) )],[refute_2_52,refute_2_51]) ).
cnf(refute_2_54,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_13996,skolemFOFtoCNF_BNODE_l33)
| ~ iext(uri_owl_propertyChainAxiom,X_13994,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL)
| iext(X_13994,X_13996,uri_ex_Z) ),
inference(subst,[],[refute_2_53:[bind(X_13968,$fot(X_13994)),bind(X_13969,$fot(skolemFOFtoCNF_BNODE_pL)),bind(X_13971,$fot(X_13996))]]) ).
cnf(refute_2_55,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_13996,skolemFOFtoCNF_BNODE_l33)
| ~ iext(uri_owl_propertyChainAxiom,X_13994,skolemFOFtoCNF_BNODE_l11)
| iext(X_13994,X_13996,uri_ex_Z) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_pL) )],[refute_2_42,refute_2_54]) ).
cnf(refute_2_56,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_13998,skolemFOFtoCNF_BNODE_l33)
| ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11)
| iext(uri_skos_member,X_13998,uri_ex_Z) ),
inference(subst,[],[refute_2_55:[bind(X_13994,$fot(uri_skos_member)),bind(X_13996,$fot(X_13998))]]) ).
cnf(refute_2_57,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,X_13998,skolemFOFtoCNF_BNODE_l33)
| iext(uri_skos_member,X_13998,uri_ex_Z) ),
inference(resolve,[$cnf( iext(uri_owl_propertyChainAxiom,uri_skos_member,skolemFOFtoCNF_BNODE_l11) )],[refute_2_41,refute_2_56]) ).
cnf(refute_2_58,plain,
( ~ iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l33)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(subst,[],[refute_2_57:[bind(X_13998,$fot(uri_ex_MyOrderedCollection))]]) ).
cnf(refute_2_59,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(resolve,[$cnf( iext(skolemFOFtoCNF_BNODE_pL,uri_ex_MyOrderedCollection,skolemFOFtoCNF_BNODE_l33) )],[refute_2_40,refute_2_58]) ).
cnf(refute_2_60,plain,
~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_61,plain,
$false,
inference(resolve,[$cnf( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) )],[refute_2_59,refute_2_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 11:23:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 17.45/17.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.45/17.69
% 17.45/17.69 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.54/17.72
%------------------------------------------------------------------------------