%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 : Thu Sep 24 09:01:00 AM UTC 2026
% Result : Theorem 189.55s 189.82s
% Output : Proof 189.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 184 ( 125 unt; 0 def)
% Number of atoms : 649 ( 0 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 637 ( 172 ~; 167 |; 293 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-5 aty)
% Number of variables : 238 ( 7 sgn 139 !; 69 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_subpropertyof_main,axiom,
! [P,Q] :
( iext(uri_rdfs_subPropertyOf,P,Q)
=> ( ! [X,Y] :
( iext(P,X,Y)
=> iext(Q,X,Y) )
& ip(Q)
& ip(P) ) ),
file('theBenchmark.p',rdfs_subpropertyof_main) ).
fof(owl_chain_002,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,P1) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2] :
( ( iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
=> iext(P,Y0,Y2) )
& ip(P2)
& ip(P1)
& ip(P) ) ) ),
file('theBenchmark.p',owl_chain_002) ).
fof(testcase_conclusion_fullish_022_List_Member_Access,conjecture,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
file('theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
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_rdf_rest,BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL) ),
file('theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
fof(f_1_1,plain,
! [P,Q] :
( ( ! [X,Y] :
( iext(Q,X,Y)
| ~ iext(P,X,Y) )
& ip(Q)
& ip(P) )
| ~ iext(uri_rdfs_subPropertyOf,P,Q) ),
inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_main]) ).
fof(f_1_2,plain,
! [U_3,U_2] :
( ( ! [U_1,U_0] :
( iext(U_2,U_1,U_0)
| ~ iext(U_3,U_1,U_0) )
& ip(U_2)
& ip(U_3) )
| ~ iext(uri_rdfs_subPropertyOf,U_3,U_2) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_0,U_3,U_1,U_2] :
( iext(U_2,U_1,U_0)
| ~ iext(U_3,U_1,U_0)
| ~ sP0(U_0,U_3,U_1,U_2) )
& ! [U_0,U_3,U_1,U_2] :
( ip(U_2)
| ~ sP0(U_0,U_3,U_1,U_2) )
& ! [U_0,U_3,U_1,U_2] :
( ip(U_3)
| ~ sP0(U_0,U_3,U_1,U_2) )
& ! [U_0,U_3,U_1,U_2] :
( sP0(U_0,U_3,U_1,U_2)
| ~ iext(uri_rdfs_subPropertyOf,U_3,U_2) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_1_2]) ).
cnf(f_1_4,plain,
( sP0(U_0,U_3,U_1,U_2)
| ~ iext(uri_rdfs_subPropertyOf,U_3,U_2) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_7,plain,
( iext(U_2,U_1,U_0)
| ~ iext(U_3,U_1,U_0)
| ~ sP0(U_0,U_3,U_1,U_2) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [P,S1,P1,S2,P2] :
( ( ( iext(uri_owl_propertyChainAxiom,P,S1)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P) )
& ( ( ! [Y0,Y1,Y2] :
( iext(P,Y0,Y2)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(fof_nnf,[status(thm)],[owl_chain_002]) ).
fof(f_2_2,plain,
! [U_14,U_13,U_12,U_11,U_10] :
( ( ( iext(uri_owl_propertyChainAxiom,U_14,U_13)
| ? [U_9,U_8,U_7] :
( ~ iext(U_14,U_9,U_7)
& iext(U_10,U_8,U_7)
& iext(U_12,U_9,U_8) )
| ~ ip(U_10)
| ~ ip(U_12)
| ~ ip(U_14) )
& ( ( ! [U_6,U_5,U_4] :
( iext(U_14,U_6,U_4)
| ~ iext(U_10,U_5,U_4)
| ~ iext(U_12,U_6,U_5) )
& ip(U_10)
& ip(U_12)
& ip(U_14) )
| ~ iext(uri_owl_propertyChainAxiom,U_14,U_13) ) )
| ~ iext(uri_rdf_rest,U_11,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_11,U_10)
| ~ iext(uri_rdf_rest,U_13,U_11)
| ~ iext(uri_rdf_first,U_13,U_12) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_14,U_13,U_12,U_11,U_10] :
( ( ( iext(uri_owl_propertyChainAxiom,U_14,U_13)
| ? [U_8,U_7] :
( ~ iext(U_14,sK1(U_14,U_13,U_12,U_11,U_10),U_7)
& iext(U_10,U_8,U_7)
& iext(U_12,sK1(U_14,U_13,U_12,U_11,U_10),U_8) )
| ~ ip(U_10)
| ~ ip(U_12)
| ~ ip(U_14) )
& ( ( ! [U_6,U_5,U_4] :
( iext(U_14,U_6,U_4)
| ~ iext(U_10,U_5,U_4)
| ~ iext(U_12,U_6,U_5) )
& ip(U_10)
& ip(U_12)
& ip(U_14) )
| ~ iext(uri_owl_propertyChainAxiom,U_14,U_13) ) )
| ~ iext(uri_rdf_rest,U_11,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_11,U_10)
| ~ iext(uri_rdf_rest,U_13,U_11)
| ~ iext(uri_rdf_first,U_13,U_12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_9,sK1(U_14,U_13,U_12,U_11,U_10))],[f_2_2]) ).
fof(f_2_4,plain,
! [U_14,U_13,U_12,U_11,U_10] :
( ( ( iext(uri_owl_propertyChainAxiom,U_14,U_13)
| ? [U_7] :
( ~ iext(U_14,sK1(U_14,U_13,U_12,U_11,U_10),U_7)
& iext(U_10,sK2(U_14,U_13,U_12,U_11,U_10),U_7)
& iext(U_12,sK1(U_14,U_13,U_12,U_11,U_10),sK2(U_14,U_13,U_12,U_11,U_10)) )
| ~ ip(U_10)
| ~ ip(U_12)
| ~ ip(U_14) )
& ( ( ! [U_6,U_5,U_4] :
( iext(U_14,U_6,U_4)
| ~ iext(U_10,U_5,U_4)
| ~ iext(U_12,U_6,U_5) )
& ip(U_10)
& ip(U_12)
& ip(U_14) )
| ~ iext(uri_owl_propertyChainAxiom,U_14,U_13) ) )
| ~ iext(uri_rdf_rest,U_11,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_11,U_10)
| ~ iext(uri_rdf_rest,U_13,U_11)
| ~ iext(uri_rdf_first,U_13,U_12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_8,sK2(U_14,U_13,U_12,U_11,U_10))],[f_2_3]) ).
fof(f_2_5,plain,
! [U_14,U_13,U_12,U_11,U_10] :
( ( ( iext(uri_owl_propertyChainAxiom,U_14,U_13)
| ( ~ iext(U_14,sK1(U_14,U_13,U_12,U_11,U_10),sK3(U_14,U_13,U_12,U_11,U_10))
& iext(U_10,sK2(U_14,U_13,U_12,U_11,U_10),sK3(U_14,U_13,U_12,U_11,U_10))
& iext(U_12,sK1(U_14,U_13,U_12,U_11,U_10),sK2(U_14,U_13,U_12,U_11,U_10)) )
| ~ ip(U_10)
| ~ ip(U_12)
| ~ ip(U_14) )
& ( ( ! [U_6,U_5,U_4] :
( iext(U_14,U_6,U_4)
| ~ iext(U_10,U_5,U_4)
| ~ iext(U_12,U_6,U_5) )
& ip(U_10)
& ip(U_12)
& ip(U_14) )
| ~ iext(uri_owl_propertyChainAxiom,U_14,U_13) ) )
| ~ iext(uri_rdf_rest,U_11,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_11,U_10)
| ~ iext(uri_rdf_rest,U_13,U_11)
| ~ iext(uri_rdf_first,U_13,U_12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_7,sK3(U_14,U_13,U_12,U_11,U_10))],[f_2_4]) ).
fof(f_2_6,plain,
( ! [U_12,U_13,U_11,U_10,U_14] :
( ~ iext(U_14,sK1(U_14,U_13,U_12,U_11,U_10),sK3(U_14,U_13,U_12,U_11,U_10))
| ~ sP2(U_12,U_13,U_11,U_10,U_14) )
& ! [U_12,U_13,U_11,U_10,U_14] :
( iext(U_10,sK2(U_14,U_13,U_12,U_11,U_10),sK3(U_14,U_13,U_12,U_11,U_10))
| ~ sP2(U_12,U_13,U_11,U_10,U_14) )
& ! [U_12,U_13,U_11,U_10,U_14] :
( iext(U_12,sK1(U_14,U_13,U_12,U_11,U_10),sK2(U_14,U_13,U_12,U_11,U_10))
| ~ sP2(U_12,U_13,U_11,U_10,U_14) )
& ! [U_12,U_10,U_6,U_5,U_4,U_14] :
( iext(U_14,U_6,U_4)
| ~ iext(U_10,U_5,U_4)
| ~ iext(U_12,U_6,U_5)
| ~ sP1(U_12,U_10,U_6,U_5,U_4,U_14) )
& ! [U_12,U_10,U_6,U_5,U_4,U_14] :
( ip(U_10)
| ~ sP1(U_12,U_10,U_6,U_5,U_4,U_14) )
& ! [U_12,U_10,U_6,U_5,U_4,U_14] :
( ip(U_12)
| ~ sP1(U_12,U_10,U_6,U_5,U_4,U_14) )
& ! [U_12,U_10,U_6,U_5,U_4,U_14] :
( ip(U_14)
| ~ sP1(U_12,U_10,U_6,U_5,U_4,U_14) )
& ! [U_12,U_13,U_11,U_10,U_6,U_5,U_4,U_14] :
( iext(uri_owl_propertyChainAxiom,U_14,U_13)
| sP2(U_12,U_13,U_11,U_10,U_14)
| ~ ip(U_10)
| ~ ip(U_12)
| ~ ip(U_14)
| ~ sP3(U_12,U_13,U_11,U_10,U_6,U_5,U_4,U_14) )
& ! [U_12,U_13,U_11,U_10,U_6,U_5,U_4,U_14] :
( sP1(U_12,U_10,U_6,U_5,U_4,U_14)
| ~ iext(uri_owl_propertyChainAxiom,U_14,U_13)
| ~ sP3(U_12,U_13,U_11,U_10,U_6,U_5,U_4,U_14) )
& ! [U_12,U_13,U_11,U_10,U_6,U_5,U_4,U_14] :
( sP3(U_12,U_13,U_11,U_10,U_6,U_5,U_4,U_14)
| ~ iext(uri_rdf_rest,U_11,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_11,U_10)
| ~ iext(uri_rdf_rest,U_13,U_11)
| ~ iext(uri_rdf_first,U_13,U_12) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1,sP2,sP3])],[f_2_5]) ).
cnf(f_2_7,plain,
( sP3(U_12,U_13,U_11,U_10,U_6,U_5,U_4,U_14)
| ~ iext(uri_rdf_rest,U_11,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_11,U_10)
| ~ iext(uri_rdf_rest,U_13,U_11)
| ~ iext(uri_rdf_first,U_13,U_12) ),
inference(clausify,[status(thm)],[f_2_6]) ).
cnf(f_2_8,plain,
( sP1(U_12,U_10,U_6,U_5,U_4,U_14)
| ~ iext(uri_owl_propertyChainAxiom,U_14,U_13)
| ~ sP3(U_12,U_13,U_11,U_10,U_6,U_5,U_4,U_14) ),
inference(clausify,[status(thm)],[f_2_6]) ).
cnf(f_2_13,plain,
( iext(U_14,U_6,U_4)
| ~ iext(U_10,U_5,U_4)
| ~ iext(U_12,U_6,U_5)
| ~ sP1(U_12,U_10,U_6,U_5,U_4,U_14) ),
inference(clausify,[status(thm)],[f_2_6]) ).
fof(f_3_1,negated_conjecture,
~ ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_022_List_Member_Access]) ).
fof(f_3_2,negated_conjecture,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,negated_conjecture,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
? [BNODE_pL,BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l31,BNODE_l32,BNODE_l33] :
( iext(uri_rdf_rest,BNODE_l33,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l33,uri_ex_Z)
& iext(uri_rdf_rest,BNODE_l32,BNODE_l33)
& iext(uri_rdf_first,BNODE_l32,uri_ex_Y)
& iext(uri_rdf_rest,BNODE_l31,BNODE_l32)
& iext(uri_rdf_first,BNODE_l31,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,BNODE_l31)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l22,uri_rdf_rest)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l21,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,BNODE_pL,BNODE_l21)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l12,uri_rdf_first)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l11,BNODE_pL)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,BNODE_l11)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,BNODE_pL) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_022_List_Member_Access]) ).
fof(f_4_2,plain,
? [U_22,U_21,U_20,U_19,U_18,U_17,U_16,U_15] :
( iext(uri_rdf_rest,U_15,uri_rdf_nil)
& iext(uri_rdf_first,U_15,uri_ex_Z)
& iext(uri_rdf_rest,U_16,U_15)
& iext(uri_rdf_first,U_16,uri_ex_Y)
& iext(uri_rdf_rest,U_17,U_16)
& iext(uri_rdf_first,U_17,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,U_17)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_rdf_rest,U_18,uri_rdf_nil)
& iext(uri_rdf_first,U_18,uri_rdf_rest)
& iext(uri_rdf_rest,U_19,U_18)
& iext(uri_rdf_first,U_19,U_22)
& iext(uri_owl_propertyChainAxiom,U_22,U_19)
& iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,U_21,U_20)
& iext(uri_rdf_first,U_21,U_22)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,U_21)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,U_22) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ? [U_22] :
( ? [U_21] :
( ? [U_20] :
( iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,U_21,U_20) )
& iext(uri_rdf_first,U_21,U_22)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,U_21) )
& ? [U_19] :
( ? [U_18] :
( iext(uri_rdf_rest,U_18,uri_rdf_nil)
& iext(uri_rdf_first,U_18,uri_rdf_rest)
& iext(uri_rdf_rest,U_19,U_18) )
& iext(uri_rdf_first,U_19,U_22)
& iext(uri_owl_propertyChainAxiom,U_22,U_19) )
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,U_22) )
& ? [U_17] :
( ? [U_16] :
( ? [U_15] :
( iext(uri_rdf_rest,U_15,uri_rdf_nil)
& iext(uri_rdf_first,U_15,uri_ex_Z)
& iext(uri_rdf_rest,U_16,U_15) )
& iext(uri_rdf_first,U_16,uri_ex_Y)
& iext(uri_rdf_rest,U_17,U_16) )
& iext(uri_rdf_first,U_17,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,U_17) )
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ? [U_22] :
( ? [U_21] :
( ? [U_20] :
( iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,U_21,U_20) )
& iext(uri_rdf_first,U_21,U_22)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,U_21) )
& ? [U_19] :
( ? [U_18] :
( iext(uri_rdf_rest,U_18,uri_rdf_nil)
& iext(uri_rdf_first,U_18,uri_rdf_rest)
& iext(uri_rdf_rest,U_19,U_18) )
& iext(uri_rdf_first,U_19,U_22)
& iext(uri_owl_propertyChainAxiom,U_22,U_19) )
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,U_22) )
& ? [U_16] :
( ? [U_15] :
( iext(uri_rdf_rest,U_15,uri_rdf_nil)
& iext(uri_rdf_first,U_15,uri_ex_Z)
& iext(uri_rdf_rest,U_16,U_15) )
& iext(uri_rdf_first,U_16,uri_ex_Y)
& iext(uri_rdf_rest,sK4,U_16) )
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_17,sK4)],[f_4_3]) ).
fof(f_4_5,plain,
( ? [U_22] :
( ? [U_21] :
( ? [U_20] :
( iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,U_21,U_20) )
& iext(uri_rdf_first,U_21,U_22)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,U_21) )
& ? [U_19] :
( ? [U_18] :
( iext(uri_rdf_rest,U_18,uri_rdf_nil)
& iext(uri_rdf_first,U_18,uri_rdf_rest)
& iext(uri_rdf_rest,U_19,U_18) )
& iext(uri_rdf_first,U_19,U_22)
& iext(uri_owl_propertyChainAxiom,U_22,U_19) )
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,U_22) )
& ? [U_15] :
( iext(uri_rdf_rest,U_15,uri_rdf_nil)
& iext(uri_rdf_first,U_15,uri_ex_Z)
& iext(uri_rdf_rest,sK5,U_15) )
& iext(uri_rdf_first,sK5,uri_ex_Y)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_16,sK5)],[f_4_4]) ).
fof(f_4_6,plain,
( ? [U_22] :
( ? [U_21] :
( ? [U_20] :
( iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,U_21,U_20) )
& iext(uri_rdf_first,U_21,U_22)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,U_21) )
& ? [U_19] :
( ? [U_18] :
( iext(uri_rdf_rest,U_18,uri_rdf_nil)
& iext(uri_rdf_first,U_18,uri_rdf_rest)
& iext(uri_rdf_rest,U_19,U_18) )
& iext(uri_rdf_first,U_19,U_22)
& iext(uri_owl_propertyChainAxiom,U_22,U_19) )
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,U_22) )
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_Z)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_Y)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_15,sK6)],[f_4_5]) ).
fof(f_4_7,plain,
( ? [U_21] :
( ? [U_20] :
( iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,U_21,U_20) )
& iext(uri_rdf_first,U_21,sK7)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,U_21) )
& ? [U_19] :
( ? [U_18] :
( iext(uri_rdf_rest,U_18,uri_rdf_nil)
& iext(uri_rdf_first,U_18,uri_rdf_rest)
& iext(uri_rdf_rest,U_19,U_18) )
& iext(uri_rdf_first,U_19,sK7)
& iext(uri_owl_propertyChainAxiom,sK7,U_19) )
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_Z)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_Y)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_22,sK7)],[f_4_6]) ).
fof(f_4_8,plain,
( ? [U_21] :
( ? [U_20] :
( iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,U_21,U_20) )
& iext(uri_rdf_first,U_21,sK7)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,U_21) )
& ? [U_18] :
( iext(uri_rdf_rest,U_18,uri_rdf_nil)
& iext(uri_rdf_first,U_18,uri_rdf_rest)
& iext(uri_rdf_rest,sK8,U_18) )
& iext(uri_rdf_first,sK8,sK7)
& iext(uri_owl_propertyChainAxiom,sK7,sK8)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_Z)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_Y)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_19,sK8)],[f_4_7]) ).
fof(f_4_9,plain,
( ? [U_21] :
( ? [U_20] :
( iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,U_21,U_20) )
& iext(uri_rdf_first,U_21,sK7)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,U_21) )
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_rdf_rest)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,sK7)
& iext(uri_owl_propertyChainAxiom,sK7,sK8)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_Z)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_Y)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_18,sK9)],[f_4_8]) ).
fof(f_4_10,plain,
( ? [U_20] :
( iext(uri_rdf_rest,U_20,uri_rdf_nil)
& iext(uri_rdf_first,U_20,uri_rdf_first)
& iext(uri_rdf_rest,sK10,U_20) )
& iext(uri_rdf_first,sK10,sK7)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_rdf_rest)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,sK7)
& iext(uri_owl_propertyChainAxiom,sK7,sK8)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_Z)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_Y)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_21,sK10)],[f_4_9]) ).
fof(f_4_11,plain,
( iext(uri_rdf_rest,sK11,uri_rdf_nil)
& iext(uri_rdf_first,sK11,uri_rdf_first)
& iext(uri_rdf_rest,sK10,sK11)
& iext(uri_rdf_first,sK10,sK7)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_rdf_rest)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,sK7)
& iext(uri_owl_propertyChainAxiom,sK7,sK8)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_Z)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_Y)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_20,sK11)],[f_4_10]) ).
fof(f_4_12,plain,
( iext(uri_rdf_rest,sK11,uri_rdf_nil)
& iext(uri_rdf_first,sK11,uri_rdf_first)
& iext(uri_rdf_rest,sK10,sK11)
& iext(uri_rdf_first,sK10,sK7)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_rdf_rest)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,sK7)
& iext(uri_owl_propertyChainAxiom,sK7,sK8)
& iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_Z)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_Y)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK4,uri_ex_X)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection) ),
inference(definitional_conversion,[status(esa)],[f_4_11]) ).
cnf(f_4_14,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_15,plain,
iext(uri_rdf_first,sK4,uri_ex_X),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_16,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_17,plain,
iext(uri_rdf_first,sK5,uri_ex_Y),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_18,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_19,plain,
iext(uri_rdf_first,sK6,uri_ex_Z),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_21,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_22,plain,
iext(uri_owl_propertyChainAxiom,sK7,sK8),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_23,plain,
iext(uri_rdf_first,sK8,sK7),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_24,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_25,plain,
iext(uri_rdf_first,sK9,uri_rdf_rest),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_26,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_27,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_28,plain,
iext(uri_rdf_first,sK10,sK7),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_29,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_30,plain,
iext(uri_rdf_first,sK11,uri_rdf_first),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(f_4_31,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(clausify,[status(thm)],[f_4_12]) ).
cnf(t1,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(start,[status(thm),parent(0:0)],[f_3_4]) ).
cnf(t2,plain,
( ~ iext(sK7,uri_ex_MyOrderedCollection,sK4)
| ~ iext(uri_rdf_first,sK4,uri_ex_X)
| ~ sP1(sK7,uri_rdf_first,uri_ex_MyOrderedCollection,sK4,uri_ex_X,uri_skos_member)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
inference(extension,[status(thm),parent(t1:1)],[f_2_13]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10)
| ~ sP3(sK7,sK10,sK11,uri_rdf_first,uri_ex_MyOrderedCollection,sK4,uri_ex_X,uri_skos_member)
| sP1(sK7,uri_rdf_first,uri_ex_MyOrderedCollection,sK4,uri_ex_X,uri_skos_member) ),
inference(extension,[status(thm),parent(t2:2)],[f_2_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ iext(uri_rdf_rest,sK10,sK11)
| ~ iext(uri_rdf_first,sK11,uri_rdf_first)
| ~ iext(uri_rdf_rest,sK11,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK10,sK7)
| sP3(sK7,sK10,sK11,uri_rdf_first,uri_ex_MyOrderedCollection,sK4,uri_ex_X,uri_skos_member) ),
inference(extension,[status(thm),parent(t4:2)],[f_2_7]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
iext(uri_rdf_first,sK10,sK7),
inference(extension,[status(thm),parent(t6:2)],[f_4_28]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(extension,[status(thm),parent(t6:3)],[f_4_31]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
iext(uri_rdf_first,sK11,uri_rdf_first),
inference(extension,[status(thm),parent(t6:4)],[f_4_30]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:4]) ).
cnf(t14,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(extension,[status(thm),parent(t6:5)],[f_4_29]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:5]) ).
cnf(t16,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10),
inference(extension,[status(thm),parent(t4:3)],[f_4_27]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:3]) ).
cnf(t18,plain,
iext(uri_rdf_first,sK4,uri_ex_X),
inference(extension,[status(thm),parent(t2:3)],[f_4_15]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).
cnf(t20,plain,
( ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
| ~ sP0(sK4,uri_skos_memberList,uri_ex_MyOrderedCollection,sK7)
| iext(sK7,uri_ex_MyOrderedCollection,sK4) ),
inference(extension,[status(thm),parent(t2:4)],[f_1_7]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:4]) ).
cnf(t22,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
| sP0(sK4,uri_skos_memberList,uri_ex_MyOrderedCollection,sK7) ),
inference(extension,[status(thm),parent(t20:2)],[f_1_4]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7),
inference(extension,[status(thm),parent(t22:2)],[f_4_21]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4),
inference(extension,[status(thm),parent(t20:3)],[f_4_14]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t20:3]) ).
cnf(t28,plain,
( ~ iext(sK7,uri_ex_MyOrderedCollection,sK6)
| ~ iext(uri_rdf_first,sK6,uri_ex_Z)
| ~ sP1(sK7,uri_rdf_first,uri_ex_MyOrderedCollection,sK6,uri_ex_Z,uri_skos_member)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(extension,[status(thm),parent(t1:2)],[f_2_13]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t1:2]) ).
cnf(t30,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10)
| ~ sP3(sK7,sK10,sK11,uri_rdf_first,uri_ex_MyOrderedCollection,sK6,uri_ex_Z,uri_skos_member)
| sP1(sK7,uri_rdf_first,uri_ex_MyOrderedCollection,sK6,uri_ex_Z,uri_skos_member) ),
inference(extension,[status(thm),parent(t28:2)],[f_2_8]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ iext(uri_rdf_rest,sK10,sK11)
| ~ iext(uri_rdf_first,sK11,uri_rdf_first)
| ~ iext(uri_rdf_rest,sK11,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK10,sK7)
| sP3(sK7,sK10,sK11,uri_rdf_first,uri_ex_MyOrderedCollection,sK6,uri_ex_Z,uri_skos_member) ),
inference(extension,[status(thm),parent(t30:2)],[f_2_7]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
iext(uri_rdf_first,sK10,sK7),
inference(extension,[status(thm),parent(t32:2)],[f_4_28]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(extension,[status(thm),parent(t32:3)],[f_4_31]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
iext(uri_rdf_first,sK11,uri_rdf_first),
inference(extension,[status(thm),parent(t32:4)],[f_4_30]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t32:4]) ).
cnf(t40,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(extension,[status(thm),parent(t32:5)],[f_4_29]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t32:5]) ).
cnf(t42,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10),
inference(extension,[status(thm),parent(t30:3)],[f_4_27]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t30:3]) ).
cnf(t44,plain,
iext(uri_rdf_first,sK6,uri_ex_Z),
inference(extension,[status(thm),parent(t28:3)],[f_4_19]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t28:3]) ).
cnf(t46,plain,
( ~ iext(sK7,uri_ex_MyOrderedCollection,sK5)
| ~ iext(uri_rdf_rest,sK5,sK6)
| ~ sP1(sK7,uri_rdf_rest,uri_ex_MyOrderedCollection,sK5,sK6,sK7)
| iext(sK7,uri_ex_MyOrderedCollection,sK6) ),
inference(extension,[status(thm),parent(t28:4)],[f_2_13]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t28:4]) ).
cnf(t48,plain,
( ~ iext(uri_owl_propertyChainAxiom,sK7,sK8)
| ~ sP3(sK7,sK8,sK9,uri_rdf_rest,uri_ex_MyOrderedCollection,sK5,sK6,sK7)
| sP1(sK7,uri_rdf_rest,uri_ex_MyOrderedCollection,sK5,sK6,sK7) ),
inference(extension,[status(thm),parent(t46:2)],[f_2_8]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
( ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,uri_rdf_rest)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8,sK7)
| sP3(sK7,sK8,sK9,uri_rdf_rest,uri_ex_MyOrderedCollection,sK5,sK6,sK7) ),
inference(extension,[status(thm),parent(t48:2)],[f_2_7]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
iext(uri_rdf_first,sK8,sK7),
inference(extension,[status(thm),parent(t50:2)],[f_4_23]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
cnf(t54,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(extension,[status(thm),parent(t50:3)],[f_4_26]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t50:3]) ).
cnf(t56,plain,
iext(uri_rdf_first,sK9,uri_rdf_rest),
inference(extension,[status(thm),parent(t50:4)],[f_4_25]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t50:4]) ).
cnf(t58,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(extension,[status(thm),parent(t50:5)],[f_4_24]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t50:5]) ).
cnf(t60,plain,
iext(uri_owl_propertyChainAxiom,sK7,sK8),
inference(extension,[status(thm),parent(t48:3)],[f_4_22]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t48:3]) ).
cnf(t62,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(extension,[status(thm),parent(t46:3)],[f_4_18]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t46:3]) ).
cnf(t64,plain,
( ~ iext(sK7,uri_ex_MyOrderedCollection,sK4)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ sP1(sK7,uri_rdf_rest,uri_ex_MyOrderedCollection,sK4,sK5,sK7)
| iext(sK7,uri_ex_MyOrderedCollection,sK5) ),
inference(extension,[status(thm),parent(t46:4)],[f_2_13]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t46:4]) ).
cnf(t66,plain,
( ~ iext(uri_owl_propertyChainAxiom,sK7,sK8)
| ~ sP3(sK7,sK8,sK9,uri_rdf_rest,uri_ex_MyOrderedCollection,sK4,sK5,sK7)
| sP1(sK7,uri_rdf_rest,uri_ex_MyOrderedCollection,sK4,sK5,sK7) ),
inference(extension,[status(thm),parent(t64:2)],[f_2_8]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t64:2]) ).
cnf(t68,plain,
( ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,uri_rdf_rest)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8,sK7)
| sP3(sK7,sK8,sK9,uri_rdf_rest,uri_ex_MyOrderedCollection,sK4,sK5,sK7) ),
inference(extension,[status(thm),parent(t66:2)],[f_2_7]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
iext(uri_rdf_first,sK8,sK7),
inference(extension,[status(thm),parent(t68:2)],[f_4_23]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t68:2]) ).
cnf(t72,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(extension,[status(thm),parent(t68:3)],[f_4_26]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t68:3]) ).
cnf(t74,plain,
iext(uri_rdf_first,sK9,uri_rdf_rest),
inference(extension,[status(thm),parent(t68:4)],[f_4_25]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t68:4]) ).
cnf(t76,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(extension,[status(thm),parent(t68:5)],[f_4_24]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t68:5]) ).
cnf(t78,plain,
iext(uri_owl_propertyChainAxiom,sK7,sK8),
inference(extension,[status(thm),parent(t66:3)],[f_4_22]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t66:3]) ).
cnf(t80,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(extension,[status(thm),parent(t64:3)],[f_4_16]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t64:3]) ).
cnf(t82,plain,
( ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
| ~ sP0(sK4,uri_skos_memberList,uri_ex_MyOrderedCollection,sK7)
| iext(sK7,uri_ex_MyOrderedCollection,sK4) ),
inference(extension,[status(thm),parent(t64:4)],[f_1_7]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t64:4]) ).
cnf(t84,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
| sP0(sK4,uri_skos_memberList,uri_ex_MyOrderedCollection,sK7) ),
inference(extension,[status(thm),parent(t82:2)],[f_1_4]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7),
inference(extension,[status(thm),parent(t84:2)],[f_4_21]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4),
inference(extension,[status(thm),parent(t82:3)],[f_4_14]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t82:3]) ).
cnf(t90,plain,
( ~ iext(sK7,uri_ex_MyOrderedCollection,sK5)
| ~ iext(uri_rdf_first,sK5,uri_ex_Y)
| ~ sP1(sK7,uri_rdf_first,uri_ex_MyOrderedCollection,sK5,uri_ex_Y,uri_skos_member)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
inference(extension,[status(thm),parent(t1:3)],[f_2_13]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t1:3]) ).
cnf(t92,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10)
| ~ sP3(sK7,sK10,sK11,uri_rdf_first,uri_ex_MyOrderedCollection,sK5,uri_ex_Y,uri_skos_member)
| sP1(sK7,uri_rdf_first,uri_ex_MyOrderedCollection,sK5,uri_ex_Y,uri_skos_member) ),
inference(extension,[status(thm),parent(t90:2)],[f_2_8]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t90:2]) ).
cnf(t94,plain,
( ~ iext(uri_rdf_rest,sK10,sK11)
| ~ iext(uri_rdf_first,sK11,uri_rdf_first)
| ~ iext(uri_rdf_rest,sK11,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK10,sK7)
| sP3(sK7,sK10,sK11,uri_rdf_first,uri_ex_MyOrderedCollection,sK5,uri_ex_Y,uri_skos_member) ),
inference(extension,[status(thm),parent(t92:2)],[f_2_7]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t92:2]) ).
cnf(t96,plain,
iext(uri_rdf_first,sK10,sK7),
inference(extension,[status(thm),parent(t94:2)],[f_4_28]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t94:2]) ).
cnf(t98,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(extension,[status(thm),parent(t94:3)],[f_4_31]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t94:3]) ).
cnf(t100,plain,
iext(uri_rdf_first,sK11,uri_rdf_first),
inference(extension,[status(thm),parent(t94:4)],[f_4_30]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t94:4]) ).
cnf(t102,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(extension,[status(thm),parent(t94:5)],[f_4_29]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t94:5]) ).
cnf(t104,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK10),
inference(extension,[status(thm),parent(t92:3)],[f_4_27]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t92:3]) ).
cnf(t106,plain,
iext(uri_rdf_first,sK5,uri_ex_Y),
inference(extension,[status(thm),parent(t90:3)],[f_4_17]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t90:3]) ).
cnf(t108,plain,
( ~ iext(sK7,uri_ex_MyOrderedCollection,sK4)
| ~ iext(uri_rdf_rest,sK4,sK5)
| ~ sP1(sK7,uri_rdf_rest,uri_ex_MyOrderedCollection,sK4,sK5,sK7)
| iext(sK7,uri_ex_MyOrderedCollection,sK5) ),
inference(extension,[status(thm),parent(t90:4)],[f_2_13]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t90:4]) ).
cnf(t110,plain,
( ~ iext(uri_owl_propertyChainAxiom,sK7,sK8)
| ~ sP3(sK7,sK8,sK9,uri_rdf_rest,uri_ex_MyOrderedCollection,sK4,sK5,sK7)
| sP1(sK7,uri_rdf_rest,uri_ex_MyOrderedCollection,sK4,sK5,sK7) ),
inference(extension,[status(thm),parent(t108:2)],[f_2_8]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t108:2]) ).
cnf(t112,plain,
( ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,uri_rdf_rest)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8,sK7)
| sP3(sK7,sK8,sK9,uri_rdf_rest,uri_ex_MyOrderedCollection,sK4,sK5,sK7) ),
inference(extension,[status(thm),parent(t110:2)],[f_2_7]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).
cnf(t114,plain,
iext(uri_rdf_first,sK8,sK7),
inference(extension,[status(thm),parent(t112:2)],[f_4_23]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t112:2]) ).
cnf(t116,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(extension,[status(thm),parent(t112:3)],[f_4_26]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t112:3]) ).
cnf(t118,plain,
iext(uri_rdf_first,sK9,uri_rdf_rest),
inference(extension,[status(thm),parent(t112:4)],[f_4_25]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t112:4]) ).
cnf(t120,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(extension,[status(thm),parent(t112:5)],[f_4_24]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t112:5]) ).
cnf(t122,plain,
iext(uri_owl_propertyChainAxiom,sK7,sK8),
inference(extension,[status(thm),parent(t110:3)],[f_4_22]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t110:3]) ).
cnf(t124,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(extension,[status(thm),parent(t108:3)],[f_4_16]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t108:3]) ).
cnf(t126,plain,
( ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4)
| ~ sP0(sK4,uri_skos_memberList,uri_ex_MyOrderedCollection,sK7)
| iext(sK7,uri_ex_MyOrderedCollection,sK4) ),
inference(extension,[status(thm),parent(t108:4)],[f_1_7]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t108:4]) ).
cnf(t128,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7)
| sP0(sK4,uri_skos_memberList,uri_ex_MyOrderedCollection,sK7) ),
inference(extension,[status(thm),parent(t126:2)],[f_1_4]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t126:2]) ).
cnf(t130,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK7),
inference(extension,[status(thm),parent(t128:2)],[f_4_21]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t128:2]) ).
cnf(t132,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK4),
inference(extension,[status(thm),parent(t126:3)],[f_4_14]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t126:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB022+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 01:13:18 UTC 2026
% 0.09/0.35 % CPUTime :
% 189.55/189.82 % SZS status Theorem for theBenchmark
% 189.55/189.82 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------