TSTP Solution File: SWB022+2 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n001.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 : 300s
% DateTime : Thu Aug 31 20:12:54 EDT 2023
% Result : Theorem 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 07:54:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.21/0.58
% 0.21/0.58 % SZS status Theorem
% 0.21/0.58
% 0.21/0.60 % SZS output start Proof
% 0.21/0.60 Take the following subset of the input axioms:
% 0.21/0.62 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)))))))).
% 0.21/0.62 fof(rdfs_subpropertyof_main, axiom, ![Q, P3]: (iext(uri_rdfs_subPropertyOf, P3, Q) => (ip(P3) & (ip(Q) & ![X, Y]: (iext(P3, X, Y) => iext(Q, X, Y)))))).
% 0.21/0.62 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))).
% 0.21/0.62 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)))))))))))))))))))).
% 0.21/0.62
% 0.21/0.62 Now clausify the problem and encode Horn clauses using encoding 3 of
% 0.21/0.62 http://www.cse.chalmers.se/~nicsma/papers/horn.pdf.
% 0.21/0.62 We repeatedly replace C & s=t => u=v by the two clauses:
% 0.21/0.62 fresh(y, y, x1...xn) = u
% 0.21/0.62 C => fresh(s, t, x1...xn) = v
% 0.21/0.62 where fresh is a fresh function symbol and x1..xn are the free
% 0.21/0.62 variables of u and v.
% 0.21/0.62 A predicate p(X) is encoded as p(X)=true (this is sound, because the
% 0.21/0.62 input problem has no model of domain size 1).
% 0.21/0.62
% 0.21/0.62 The encoding turns the above axioms into the following unit equations and goals:
% 0.21/0.62
% 0.21/0.62 Axiom 1 (testcase_premise_fullish_022_List_Member_Access_1): iext(uri_rdf_first, bnode_l11, bnode_pl) = true.
% 0.21/0.62 Axiom 2 (testcase_premise_fullish_022_List_Member_Access_2): iext(uri_rdf_first, bnode_l21, bnode_pl) = true.
% 0.21/0.62 Axiom 3 (testcase_premise_fullish_022_List_Member_Access_3): iext(uri_rdf_first, bnode_l12, uri_rdf_first) = true.
% 0.21/0.62 Axiom 4 (testcase_premise_fullish_022_List_Member_Access_4): iext(uri_rdf_first, bnode_l22, uri_rdf_rest) = true.
% 0.21/0.62 Axiom 5 (testcase_premise_fullish_022_List_Member_Access_5): iext(uri_rdf_first, bnode_l32, uri_ex_Y) = true.
% 0.21/0.62 Axiom 6 (testcase_premise_fullish_022_List_Member_Access_6): iext(uri_rdf_first, bnode_l31, uri_ex_X) = true.
% 0.21/0.62 Axiom 7 (testcase_premise_fullish_022_List_Member_Access_7): iext(uri_rdf_first, bnode_l33, uri_ex_Z) = true.
% 0.21/0.62 Axiom 8 (testcase_premise_fullish_022_List_Member_Access_8): iext(uri_rdf_rest, bnode_l11, bnode_l12) = true.
% 0.21/0.62 Axiom 9 (testcase_premise_fullish_022_List_Member_Access_9): iext(uri_rdf_rest, bnode_l21, bnode_l22) = true.
% 0.21/0.62 Axiom 10 (testcase_premise_fullish_022_List_Member_Access_10): iext(uri_rdf_rest, bnode_l12, uri_rdf_nil) = true.
% 0.21/0.62 Axiom 11 (testcase_premise_fullish_022_List_Member_Access_11): iext(uri_rdf_rest, bnode_l22, uri_rdf_nil) = true.
% 0.21/0.62 Axiom 12 (testcase_premise_fullish_022_List_Member_Access_12): iext(uri_rdf_rest, bnode_l32, bnode_l33) = true.
% 0.21/0.62 Axiom 13 (testcase_premise_fullish_022_List_Member_Access_13): iext(uri_rdf_rest, bnode_l31, bnode_l32) = true.
% 0.21/0.62 Axiom 14 (testcase_premise_fullish_022_List_Member_Access_15): iext(uri_owl_propertyChainAxiom, uri_skos_member, bnode_l11) = true.
% 0.21/0.62 Axiom 15 (testcase_premise_fullish_022_List_Member_Access_16): iext(uri_owl_propertyChainAxiom, bnode_pl, bnode_l21) = true.
% 0.21/0.62 Axiom 16 (testcase_premise_fullish_022_List_Member_Access): iext(uri_rdfs_subPropertyOf, uri_skos_memberList, bnode_pl) = true.
% 0.21/0.62 Axiom 17 (testcase_premise_fullish_022_List_Member_Access_17): iext(uri_skos_memberList, uri_ex_MyOrderedCollection, bnode_l31) = true.
% 0.21/0.62 Axiom 18 (owl_chain_002_1): fresh19(X, X, Y, Z, W) = true.
% 0.21/0.62 Axiom 19 (rdfs_subpropertyof_main): fresh3(X, X, Y, Z, W) = true.
% 0.21/0.62 Axiom 20 (rdfs_subpropertyof_main): fresh4(X, X, Y, Z, W, V) = iext(Z, W, V).
% 0.21/0.62 Axiom 21 (owl_chain_002_1): fresh17(X, X, Y, Z, W, V, U) = iext(Y, W, U).
% 0.21/0.62 Axiom 22 (owl_chain_002_1): fresh18(X, X, Y, Z, W, V, U, T) = fresh19(iext(Z, V, U), true, Y, V, T).
% 0.21/0.62 Axiom 23 (rdfs_subpropertyof_main): fresh4(iext(uri_rdfs_subPropertyOf, X, Y), true, X, Y, Z, W) = fresh3(iext(X, Z, W), true, Y, Z, W).
% 0.21/0.62 Axiom 24 (owl_chain_002_1): fresh16(X, X, Y, Z, W, V, U, T, S) = fresh17(iext(V, T, S), true, Y, W, U, T, S).
% 0.21/0.62 Axiom 25 (owl_chain_002_1): fresh15(X, X, Y, Z, W, V, U, T, S, X2) = fresh18(iext(uri_rdf_first, Z, W), true, Y, W, U, T, S, X2).
% 0.21/0.63 Axiom 26 (owl_chain_002_1): fresh14(X, X, Y, Z, W, V, U, T, S, X2) = fresh16(iext(uri_rdf_first, V, U), true, Y, Z, W, U, T, S, X2).
% 0.21/0.63 Axiom 27 (owl_chain_002_1): fresh13(X, X, Y, Z, W, V, U, T, S, X2) = fresh15(iext(uri_rdf_rest, Z, V), true, Y, Z, W, V, U, T, S, X2).
% 0.21/0.63 Axiom 28 (owl_chain_002_1): fresh13(iext(uri_owl_propertyChainAxiom, X, Y), true, X, Y, Z, W, V, U, T, S) = fresh14(iext(uri_rdf_rest, W, uri_rdf_nil), true, X, Y, Z, W, V, U, T, S).
% 0.21/0.63
% 0.21/0.63 Lemma 29: iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l31) = true.
% 0.21/0.63 Proof:
% 0.21/0.63 iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l31)
% 0.21/0.63 = { by axiom 20 (rdfs_subpropertyof_main) R->L }
% 0.21/0.63 fresh4(true, true, uri_skos_memberList, bnode_pl, uri_ex_MyOrderedCollection, bnode_l31)
% 0.21/0.63 = { by axiom 16 (testcase_premise_fullish_022_List_Member_Access) R->L }
% 0.21/0.63 fresh4(iext(uri_rdfs_subPropertyOf, uri_skos_memberList, bnode_pl), true, uri_skos_memberList, bnode_pl, uri_ex_MyOrderedCollection, bnode_l31)
% 0.21/0.63 = { by axiom 23 (rdfs_subpropertyof_main) }
% 0.21/0.63 fresh3(iext(uri_skos_memberList, uri_ex_MyOrderedCollection, bnode_l31), true, bnode_pl, uri_ex_MyOrderedCollection, bnode_l31)
% 0.21/0.63 = { by axiom 17 (testcase_premise_fullish_022_List_Member_Access_17) }
% 0.21/0.63 fresh3(true, true, bnode_pl, uri_ex_MyOrderedCollection, bnode_l31)
% 0.21/0.63 = { by axiom 19 (rdfs_subpropertyof_main) }
% 0.21/0.63 true
% 0.21/0.63
% 0.21/0.63 Lemma 30: fresh16(X2, X2, Y, Y2, W, V, U, T, S) = fresh16(X, X, Y, Z, W, V, U, T, S).
% 0.21/0.63 Proof:
% 0.21/0.63 fresh16(X2, X2, Y, Y2, W, V, U, T, S)
% 0.21/0.63 = { by axiom 24 (owl_chain_002_1) }
% 0.21/0.63 fresh17(iext(V, T, S), true, Y, W, U, T, S)
% 0.21/0.63 = { by axiom 24 (owl_chain_002_1) R->L }
% 0.21/0.63 fresh16(X, X, Y, Z, W, V, U, T, S)
% 0.21/0.63
% 0.21/0.63 Lemma 31: fresh18(S, S, Y, Z, X2, V, U, T) = fresh18(X, X, Y, Z, W, V, U, T).
% 0.21/0.63 Proof:
% 0.21/0.63 fresh18(S, S, Y, Z, X2, V, U, T)
% 0.21/0.63 = { by axiom 22 (owl_chain_002_1) }
% 0.21/0.63 fresh19(iext(Z, V, U), true, Y, V, T)
% 0.21/0.63 = { by axiom 22 (owl_chain_002_1) R->L }
% 0.21/0.63 fresh18(X, X, Y, Z, W, V, U, T)
% 0.21/0.63
% 0.21/0.63 Lemma 32: fresh16(X, X, bnode_pl, Y, bnode_pl, uri_rdf_rest, Z, W, V) = fresh18(U, U, bnode_pl, bnode_pl, T, Z, W, V).
% 0.21/0.63 Proof:
% 0.21/0.63 fresh16(X, X, bnode_pl, Y, bnode_pl, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by lemma 30 }
% 0.21/0.63 fresh16(true, true, bnode_pl, bnode_l21, bnode_pl, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 4 (testcase_premise_fullish_022_List_Member_Access_4) R->L }
% 0.21/0.63 fresh16(iext(uri_rdf_first, bnode_l22, uri_rdf_rest), true, bnode_pl, bnode_l21, bnode_pl, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 26 (owl_chain_002_1) R->L }
% 0.21/0.63 fresh14(true, true, bnode_pl, bnode_l21, bnode_pl, bnode_l22, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 11 (testcase_premise_fullish_022_List_Member_Access_11) R->L }
% 0.21/0.63 fresh14(iext(uri_rdf_rest, bnode_l22, uri_rdf_nil), true, bnode_pl, bnode_l21, bnode_pl, bnode_l22, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 28 (owl_chain_002_1) R->L }
% 0.21/0.63 fresh13(iext(uri_owl_propertyChainAxiom, bnode_pl, bnode_l21), true, bnode_pl, bnode_l21, bnode_pl, bnode_l22, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 15 (testcase_premise_fullish_022_List_Member_Access_16) }
% 0.21/0.63 fresh13(true, true, bnode_pl, bnode_l21, bnode_pl, bnode_l22, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 27 (owl_chain_002_1) }
% 0.21/0.63 fresh15(iext(uri_rdf_rest, bnode_l21, bnode_l22), true, bnode_pl, bnode_l21, bnode_pl, bnode_l22, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 9 (testcase_premise_fullish_022_List_Member_Access_9) }
% 0.21/0.63 fresh15(true, true, bnode_pl, bnode_l21, bnode_pl, bnode_l22, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 25 (owl_chain_002_1) }
% 0.21/0.63 fresh18(iext(uri_rdf_first, bnode_l21, bnode_pl), true, bnode_pl, bnode_pl, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by axiom 2 (testcase_premise_fullish_022_List_Member_Access_2) }
% 0.21/0.63 fresh18(true, true, bnode_pl, bnode_pl, uri_rdf_rest, Z, W, V)
% 0.21/0.63 = { by lemma 31 R->L }
% 0.21/0.63 fresh18(U, U, bnode_pl, bnode_pl, T, Z, W, V)
% 0.21/0.63
% 0.21/0.63 Lemma 33: iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l32) = true.
% 0.21/0.63 Proof:
% 0.21/0.63 iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l32)
% 0.21/0.63 = { by axiom 21 (owl_chain_002_1) R->L }
% 0.21/0.63 fresh17(true, true, bnode_pl, bnode_pl, uri_ex_MyOrderedCollection, bnode_l31, bnode_l32)
% 0.21/0.63 = { by axiom 13 (testcase_premise_fullish_022_List_Member_Access_13) R->L }
% 0.21/0.63 fresh17(iext(uri_rdf_rest, bnode_l31, bnode_l32), true, bnode_pl, bnode_pl, uri_ex_MyOrderedCollection, bnode_l31, bnode_l32)
% 0.21/0.63 = { by axiom 24 (owl_chain_002_1) R->L }
% 0.21/0.63 fresh16(X, X, bnode_pl, Y, bnode_pl, uri_rdf_rest, uri_ex_MyOrderedCollection, bnode_l31, bnode_l32)
% 0.21/0.63 = { by lemma 32 }
% 0.21/0.63 fresh18(Z, Z, bnode_pl, bnode_pl, W, uri_ex_MyOrderedCollection, bnode_l31, bnode_l32)
% 0.21/0.63 = { by axiom 22 (owl_chain_002_1) }
% 0.21/0.63 fresh19(iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l31), true, bnode_pl, uri_ex_MyOrderedCollection, bnode_l32)
% 0.21/0.63 = { by lemma 29 }
% 0.21/0.63 fresh19(true, true, bnode_pl, uri_ex_MyOrderedCollection, bnode_l32)
% 0.21/0.63 = { by axiom 18 (owl_chain_002_1) }
% 0.21/0.63 true
% 0.21/0.63
% 0.21/0.63 Lemma 34: fresh16(X, X, uri_skos_member, Y, bnode_pl, uri_rdf_first, Z, W, V) = fresh18(U, U, uri_skos_member, bnode_pl, T, Z, W, V).
% 0.21/0.63 Proof:
% 0.21/0.63 fresh16(X, X, uri_skos_member, Y, bnode_pl, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by lemma 30 }
% 0.21/0.63 fresh16(true, true, uri_skos_member, bnode_l11, bnode_pl, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 3 (testcase_premise_fullish_022_List_Member_Access_3) R->L }
% 0.21/0.63 fresh16(iext(uri_rdf_first, bnode_l12, uri_rdf_first), true, uri_skos_member, bnode_l11, bnode_pl, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 26 (owl_chain_002_1) R->L }
% 0.21/0.63 fresh14(true, true, uri_skos_member, bnode_l11, bnode_pl, bnode_l12, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 10 (testcase_premise_fullish_022_List_Member_Access_10) R->L }
% 0.21/0.63 fresh14(iext(uri_rdf_rest, bnode_l12, uri_rdf_nil), true, uri_skos_member, bnode_l11, bnode_pl, bnode_l12, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 28 (owl_chain_002_1) R->L }
% 0.21/0.63 fresh13(iext(uri_owl_propertyChainAxiom, uri_skos_member, bnode_l11), true, uri_skos_member, bnode_l11, bnode_pl, bnode_l12, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 14 (testcase_premise_fullish_022_List_Member_Access_15) }
% 0.21/0.63 fresh13(true, true, uri_skos_member, bnode_l11, bnode_pl, bnode_l12, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 27 (owl_chain_002_1) }
% 0.21/0.63 fresh15(iext(uri_rdf_rest, bnode_l11, bnode_l12), true, uri_skos_member, bnode_l11, bnode_pl, bnode_l12, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 8 (testcase_premise_fullish_022_List_Member_Access_8) }
% 0.21/0.63 fresh15(true, true, uri_skos_member, bnode_l11, bnode_pl, bnode_l12, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 25 (owl_chain_002_1) }
% 0.21/0.63 fresh18(iext(uri_rdf_first, bnode_l11, bnode_pl), true, uri_skos_member, bnode_pl, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by axiom 1 (testcase_premise_fullish_022_List_Member_Access_1) }
% 0.21/0.63 fresh18(true, true, uri_skos_member, bnode_pl, uri_rdf_first, Z, W, V)
% 0.21/0.63 = { by lemma 31 R->L }
% 0.21/0.63 fresh18(U, U, uri_skos_member, bnode_pl, T, Z, W, V)
% 0.21/0.63
% 0.21/0.63 Goal 1 (testcase_conclusion_fullish_022_List_Member_Access): tuple(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)) = tuple(true, true, true).
% 0.21/0.63 Proof:
% 0.21/0.63 tuple(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))
% 0.21/0.63 = { by axiom 21 (owl_chain_002_1) R->L }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh17(true, true, uri_skos_member, bnode_pl, uri_ex_MyOrderedCollection, bnode_l33, uri_ex_Z))
% 0.21/0.63 = { by axiom 7 (testcase_premise_fullish_022_List_Member_Access_7) R->L }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh17(iext(uri_rdf_first, bnode_l33, uri_ex_Z), true, uri_skos_member, bnode_pl, uri_ex_MyOrderedCollection, bnode_l33, uri_ex_Z))
% 0.21/0.63 = { by axiom 24 (owl_chain_002_1) R->L }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh16(X, X, uri_skos_member, Y, bnode_pl, uri_rdf_first, uri_ex_MyOrderedCollection, bnode_l33, uri_ex_Z))
% 0.21/0.63 = { by lemma 34 }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh18(Z, Z, uri_skos_member, bnode_pl, W, uri_ex_MyOrderedCollection, bnode_l33, uri_ex_Z))
% 0.21/0.63 = { by axiom 22 (owl_chain_002_1) }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh19(iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l33), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z))
% 0.21/0.63 = { by axiom 21 (owl_chain_002_1) R->L }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh19(fresh17(true, true, bnode_pl, bnode_pl, uri_ex_MyOrderedCollection, bnode_l32, bnode_l33), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z))
% 0.21/0.63 = { by axiom 12 (testcase_premise_fullish_022_List_Member_Access_12) R->L }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh19(fresh17(iext(uri_rdf_rest, bnode_l32, bnode_l33), true, bnode_pl, bnode_pl, uri_ex_MyOrderedCollection, bnode_l32, bnode_l33), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z))
% 0.21/0.63 = { by axiom 24 (owl_chain_002_1) R->L }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh19(fresh16(V, V, bnode_pl, U, bnode_pl, uri_rdf_rest, uri_ex_MyOrderedCollection, bnode_l32, bnode_l33), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z))
% 0.21/0.63 = { by lemma 32 }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh19(fresh18(T, T, bnode_pl, bnode_pl, S, uri_ex_MyOrderedCollection, bnode_l32, bnode_l33), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z))
% 0.21/0.63 = { by axiom 22 (owl_chain_002_1) }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh19(fresh19(iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l32), true, bnode_pl, uri_ex_MyOrderedCollection, bnode_l33), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z))
% 0.21/0.63 = { by lemma 33 }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh19(fresh19(true, true, bnode_pl, uri_ex_MyOrderedCollection, bnode_l33), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z))
% 0.21/0.63 = { by axiom 18 (owl_chain_002_1) }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), fresh19(true, true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Z))
% 0.21/0.63 = { by axiom 18 (owl_chain_002_1) }
% 0.21/0.63 tuple(iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 21 (owl_chain_002_1) R->L }
% 0.21/0.63 tuple(fresh17(true, true, uri_skos_member, bnode_pl, uri_ex_MyOrderedCollection, bnode_l31, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 6 (testcase_premise_fullish_022_List_Member_Access_6) R->L }
% 0.21/0.63 tuple(fresh17(iext(uri_rdf_first, bnode_l31, uri_ex_X), true, uri_skos_member, bnode_pl, uri_ex_MyOrderedCollection, bnode_l31, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 24 (owl_chain_002_1) R->L }
% 0.21/0.63 tuple(fresh16(X2, X2, uri_skos_member, Y2, bnode_pl, uri_rdf_first, uri_ex_MyOrderedCollection, bnode_l31, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by lemma 34 }
% 0.21/0.63 tuple(fresh18(Z2, Z2, uri_skos_member, bnode_pl, W2, uri_ex_MyOrderedCollection, bnode_l31, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 22 (owl_chain_002_1) }
% 0.21/0.63 tuple(fresh19(iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l31), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by lemma 29 }
% 0.21/0.63 tuple(fresh19(true, true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_X), iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 18 (owl_chain_002_1) }
% 0.21/0.63 tuple(true, iext(uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 21 (owl_chain_002_1) R->L }
% 0.21/0.63 tuple(true, fresh17(true, true, uri_skos_member, bnode_pl, uri_ex_MyOrderedCollection, bnode_l32, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 5 (testcase_premise_fullish_022_List_Member_Access_5) R->L }
% 0.21/0.63 tuple(true, fresh17(iext(uri_rdf_first, bnode_l32, uri_ex_Y), true, uri_skos_member, bnode_pl, uri_ex_MyOrderedCollection, bnode_l32, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 24 (owl_chain_002_1) R->L }
% 0.21/0.63 tuple(true, fresh16(V2, V2, uri_skos_member, U2, bnode_pl, uri_rdf_first, uri_ex_MyOrderedCollection, bnode_l32, uri_ex_Y), true)
% 0.21/0.63 = { by lemma 34 }
% 0.21/0.63 tuple(true, fresh18(T2, T2, uri_skos_member, bnode_pl, S2, uri_ex_MyOrderedCollection, bnode_l32, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 22 (owl_chain_002_1) }
% 0.21/0.63 tuple(true, fresh19(iext(bnode_pl, uri_ex_MyOrderedCollection, bnode_l32), true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by lemma 33 }
% 0.21/0.63 tuple(true, fresh19(true, true, uri_skos_member, uri_ex_MyOrderedCollection, uri_ex_Y), true)
% 0.21/0.63 = { by axiom 18 (owl_chain_002_1) }
% 0.21/0.63 tuple(true, true, true)
% 0.21/0.63 % SZS output end Proof
% 0.21/0.63
% 0.21/0.63 RESULT: Theorem (the conjecture is true).
%------------------------------------------------------------------------------