TSTP Solution File: SWB022+2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 20:04:04 EDT 2023
% Result : Theorem 12.58s 12.82s
% Output : Proof 12.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB022+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n029.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 : 300
% 0.13/0.34 % DateTime : Sun Aug 27 07:37:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 12.58/12.82 SZS status Theorem for theBenchmark.p
% 12.58/12.82 SZS output start Proof for theBenchmark.p
% 12.58/12.82 Clause #0 (by assumption #[]): Eq (∀ (P Q : Iota), iext uri_rdfs_subPropertyOf P Q → And (And (ip P) (ip Q)) (∀ (X Y : Iota), iext P X Y → iext Q X Y))
% 12.58/12.82 True
% 12.58/12.82 Clause #1 (by assumption #[]): Eq
% 12.58/12.82 (∀ (P S1 P1 S2 P2 : Iota),
% 12.58/12.82 And (And (And (iext uri_rdf_first S1 P1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 P2))
% 12.58/12.82 (iext uri_rdf_rest S2 uri_rdf_nil) →
% 12.58/12.82 Iff (iext uri_owl_propertyChainAxiom P S1)
% 12.58/12.82 (And (And (And (ip P) (ip P1)) (ip P2))
% 12.58/12.82 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext P Y0 Y2)))
% 12.58/12.82 True
% 12.58/12.82 Clause #2 (by assumption #[]): Eq
% 12.58/12.82 (Not
% 12.58/12.82 (And
% 12.58/12.82 (And (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_X)
% 12.58/12.82 (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y))
% 12.58/12.82 (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Z)))
% 12.58/12.82 True
% 12.58/12.82 Clause #3 (by assumption #[]): Eq
% 12.58/12.82 (Exists fun BNODE_pL =>
% 12.58/12.82 Exists fun BNODE_l11 =>
% 12.58/12.82 Exists fun BNODE_l12 =>
% 12.58/12.82 Exists fun BNODE_l21 =>
% 12.58/12.82 Exists fun BNODE_l22 =>
% 12.58/12.82 Exists fun BNODE_l31 =>
% 12.58/12.82 Exists fun BNODE_l32 =>
% 12.58/12.82 Exists fun BNODE_l33 =>
% 12.58/12.82 And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And
% 12.58/12.82 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList BNODE_pL)
% 12.58/12.82 (iext uri_owl_propertyChainAxiom uri_skos_member BNODE_l11))
% 12.58/12.82 (iext uri_rdf_first BNODE_l11 BNODE_pL))
% 12.58/12.82 (iext uri_rdf_rest BNODE_l11 BNODE_l12))
% 12.58/12.82 (iext uri_rdf_first BNODE_l12 uri_rdf_first))
% 12.58/12.82 (iext uri_rdf_rest BNODE_l12 uri_rdf_nil))
% 12.58/12.82 (iext uri_owl_propertyChainAxiom BNODE_pL BNODE_l21))
% 12.58/12.82 (iext uri_rdf_first BNODE_l21 BNODE_pL))
% 12.58/12.82 (iext uri_rdf_rest BNODE_l21 BNODE_l22))
% 12.58/12.82 (iext uri_rdf_first BNODE_l22 uri_rdf_rest))
% 12.58/12.82 (iext uri_rdf_rest BNODE_l22 uri_rdf_nil))
% 12.58/12.82 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.58/12.82 (iext uri_skos_memberList uri_ex_MyOrderedCollection BNODE_l31))
% 12.58/12.82 (iext uri_rdf_first BNODE_l31 uri_ex_X))
% 12.58/12.82 (iext uri_rdf_rest BNODE_l31 BNODE_l32))
% 12.58/12.82 (iext uri_rdf_first BNODE_l32 uri_ex_Y))
% 12.58/12.82 (iext uri_rdf_rest BNODE_l32 BNODE_l33))
% 12.58/12.82 (iext uri_rdf_first BNODE_l33 uri_ex_Z))
% 12.58/12.82 (iext uri_rdf_rest BNODE_l33 uri_rdf_nil))
% 12.58/12.82 True
% 12.58/12.82 Clause #4 (by clausification #[2]): Eq
% 12.58/12.82 (And
% 12.58/12.82 (And (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_X)
% 12.58/12.82 (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y))
% 12.58/12.82 (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Z))
% 12.58/12.82 False
% 12.58/12.82 Clause #5 (by clausification #[4]): Or
% 12.58/12.82 (Eq
% 12.58/12.82 (And (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_X)
% 12.58/12.82 (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y))
% 12.58/12.82 False)
% 12.58/12.82 (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Z) False)
% 12.58/12.82 Clause #6 (by clausification #[5]): Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Z) False)
% 12.66/12.84 (Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_X) False)
% 12.66/12.84 (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y) False))
% 12.66/12.84 Clause #7 (by clausification #[0]): ∀ (a : Iota),
% 12.66/12.84 Eq (∀ (Q : Iota), iext uri_rdfs_subPropertyOf a Q → And (And (ip a) (ip Q)) (∀ (X Y : Iota), iext a X Y → iext Q X Y))
% 12.66/12.84 True
% 12.66/12.84 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota),
% 12.66/12.84 Eq (iext uri_rdfs_subPropertyOf a a_1 → And (And (ip a) (ip a_1)) (∀ (X Y : Iota), iext a X Y → iext a_1 X Y)) True
% 12.66/12.84 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota),
% 12.66/12.84 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) False)
% 12.66/12.84 (Eq (And (And (ip a) (ip a_1)) (∀ (X Y : Iota), iext a X Y → iext a_1 X Y)) True)
% 12.66/12.84 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota),
% 12.66/12.84 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) False) (Eq (∀ (X Y : Iota), iext a X Y → iext a_1 X Y) True)
% 12.66/12.84 Clause #12 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 12.66/12.84 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) False) (Eq (∀ (Y : Iota), iext a a_2 Y → iext a_1 a_2 Y) True)
% 12.66/12.84 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.66/12.84 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) False) (Eq (iext a a_2 a_3 → iext a_1 a_2 a_3) True)
% 12.66/12.84 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.66/12.84 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) False) (Or (Eq (iext a a_2 a_3) False) (Eq (iext a_1 a_2 a_3) True))
% 12.66/12.84 Clause #17 (by clausification #[1]): ∀ (a : Iota),
% 12.66/12.84 Eq
% 12.66/12.84 (∀ (S1 P1 S2 P2 : Iota),
% 12.66/12.84 And (And (And (iext uri_rdf_first S1 P1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 P2))
% 12.66/12.84 (iext uri_rdf_rest S2 uri_rdf_nil) →
% 12.66/12.84 Iff (iext uri_owl_propertyChainAxiom a S1)
% 12.66/12.84 (And (And (And (ip a) (ip P1)) (ip P2))
% 12.66/12.84 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext a Y0 Y2)))
% 12.66/12.84 True
% 12.66/12.84 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 12.66/12.84 Eq
% 12.66/12.84 (∀ (P1 S2 P2 : Iota),
% 12.66/12.84 And (And (And (iext uri_rdf_first a P1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 P2))
% 12.66/12.84 (iext uri_rdf_rest S2 uri_rdf_nil) →
% 12.66/12.84 Iff (iext uri_owl_propertyChainAxiom a_1 a)
% 12.66/12.84 (And (And (And (ip a_1) (ip P1)) (ip P2))
% 12.66/12.84 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext a_1 Y0 Y2)))
% 12.66/12.84 True
% 12.66/12.84 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : Iota),
% 12.66/12.84 Eq
% 12.66/12.84 (∀ (S2 P2 : Iota),
% 12.66/12.84 And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 P2))
% 12.66/12.84 (iext uri_rdf_rest S2 uri_rdf_nil) →
% 12.66/12.84 Iff (iext uri_owl_propertyChainAxiom a_2 a)
% 12.66/12.84 (And (And (And (ip a_2) (ip a_1)) (ip P2))
% 12.66/12.84 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext P2 Y1 Y2) → iext a_2 Y0 Y2)))
% 12.66/12.84 True
% 12.66/12.84 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.66/12.84 Eq
% 12.66/12.84 (∀ (P2 : Iota),
% 12.66/12.84 And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 P2))
% 12.66/12.84 (iext uri_rdf_rest a_2 uri_rdf_nil) →
% 12.66/12.84 Iff (iext uri_owl_propertyChainAxiom a_3 a)
% 12.66/12.84 (And (And (And (ip a_3) (ip a_1)) (ip P2))
% 12.66/12.84 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext P2 Y1 Y2) → iext a_3 Y0 Y2)))
% 12.66/12.84 True
% 12.66/12.84 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.66/12.84 Eq
% 12.66/12.84 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3))
% 12.66/12.84 (iext uri_rdf_rest a_2 uri_rdf_nil) →
% 12.66/12.84 Iff (iext uri_owl_propertyChainAxiom a_4 a)
% 12.66/12.84 (And (And (And (ip a_4) (ip a_1)) (ip a_3))
% 12.66/12.84 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2)))
% 12.66/12.84 True
% 12.66/12.84 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.66/12.84 Or
% 12.66/12.84 (Eq
% 12.66/12.84 (And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3))
% 12.66/12.84 (iext uri_rdf_rest a_2 uri_rdf_nil))
% 12.66/12.84 False)
% 12.66/12.84 (Eq
% 12.66/12.84 (Iff (iext uri_owl_propertyChainAxiom a_4 a)
% 12.66/12.84 (And (And (And (ip a_4) (ip a_1)) (ip a_3))
% 12.66/12.84 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2)))
% 12.66/12.85 True)
% 12.66/12.85 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.66/12.85 Or
% 12.66/12.85 (Eq
% 12.66/12.85 (Iff (iext uri_owl_propertyChainAxiom a a_1)
% 12.66/12.85 (And (And (And (ip a) (ip a_2)) (ip a_3))
% 12.66/12.85 (∀ (Y0 Y1 Y2 : Iota), And (iext a_2 Y0 Y1) (iext a_3 Y1 Y2) → iext a Y0 Y2)))
% 12.66/12.85 True)
% 12.66/12.85 (Or (Eq (And (And (iext uri_rdf_first a_1 a_2) (iext uri_rdf_rest a_1 a_4)) (iext uri_rdf_first a_4 a_3)) False)
% 12.66/12.85 (Eq (iext uri_rdf_rest a_4 uri_rdf_nil) False))
% 12.66/12.85 Clause #25 (by clausification #[23]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.66/12.85 Or (Eq (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 a_3)) False)
% 12.66/12.85 (Or (Eq (iext uri_rdf_rest a_2 uri_rdf_nil) False)
% 12.66/12.85 (Or (Eq (iext uri_owl_propertyChainAxiom a_4 a) False)
% 12.66/12.85 (Eq
% 12.66/12.85 (And (And (And (ip a_4) (ip a_1)) (ip a_3))
% 12.66/12.85 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2))
% 12.66/12.85 True)))
% 12.66/12.85 Clause #41 (by clausification #[3]): ∀ (a : Iota),
% 12.66/12.85 Eq
% 12.66/12.85 (Exists fun BNODE_l11 =>
% 12.66/12.85 Exists fun BNODE_l12 =>
% 12.66/12.85 Exists fun BNODE_l21 =>
% 12.66/12.85 Exists fun BNODE_l22 =>
% 12.66/12.85 Exists fun BNODE_l31 =>
% 12.66/12.85 Exists fun BNODE_l32 =>
% 12.66/12.85 Exists fun BNODE_l33 =>
% 12.66/12.85 And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.66/12.85 (iext uri_owl_propertyChainAxiom uri_skos_member BNODE_l11))
% 12.66/12.85 (iext uri_rdf_first BNODE_l11 (skS.0 3 a)))
% 12.66/12.85 (iext uri_rdf_rest BNODE_l11 BNODE_l12))
% 12.66/12.85 (iext uri_rdf_first BNODE_l12 uri_rdf_first))
% 12.66/12.85 (iext uri_rdf_rest BNODE_l12 uri_rdf_nil))
% 12.66/12.85 (iext uri_owl_propertyChainAxiom (skS.0 3 a) BNODE_l21))
% 12.66/12.85 (iext uri_rdf_first BNODE_l21 (skS.0 3 a)))
% 12.66/12.85 (iext uri_rdf_rest BNODE_l21 BNODE_l22))
% 12.66/12.85 (iext uri_rdf_first BNODE_l22 uri_rdf_rest))
% 12.66/12.85 (iext uri_rdf_rest BNODE_l22 uri_rdf_nil))
% 12.66/12.85 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.66/12.85 (iext uri_skos_memberList uri_ex_MyOrderedCollection BNODE_l31))
% 12.66/12.85 (iext uri_rdf_first BNODE_l31 uri_ex_X))
% 12.66/12.85 (iext uri_rdf_rest BNODE_l31 BNODE_l32))
% 12.66/12.85 (iext uri_rdf_first BNODE_l32 uri_ex_Y))
% 12.66/12.85 (iext uri_rdf_rest BNODE_l32 BNODE_l33))
% 12.66/12.85 (iext uri_rdf_first BNODE_l33 uri_ex_Z))
% 12.66/12.85 (iext uri_rdf_rest BNODE_l33 uri_rdf_nil))
% 12.66/12.85 True
% 12.66/12.85 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 12.66/12.85 Eq
% 12.66/12.85 (Exists fun BNODE_l12 =>
% 12.66/12.85 Exists fun BNODE_l21 =>
% 12.66/12.85 Exists fun BNODE_l22 =>
% 12.66/12.85 Exists fun BNODE_l31 =>
% 12.66/12.85 Exists fun BNODE_l32 =>
% 12.66/12.85 Exists fun BNODE_l33 =>
% 12.66/12.85 And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.85 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.66/12.86 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.66/12.86 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.66/12.86 (iext uri_rdf_rest (skS.0 4 a a_1) BNODE_l12))
% 12.66/12.86 (iext uri_rdf_first BNODE_l12 uri_rdf_first))
% 12.66/12.86 (iext uri_rdf_rest BNODE_l12 uri_rdf_nil))
% 12.66/12.86 (iext uri_owl_propertyChainAxiom (skS.0 3 a) BNODE_l21))
% 12.66/12.86 (iext uri_rdf_first BNODE_l21 (skS.0 3 a)))
% 12.66/12.86 (iext uri_rdf_rest BNODE_l21 BNODE_l22))
% 12.66/12.86 (iext uri_rdf_first BNODE_l22 uri_rdf_rest))
% 12.66/12.86 (iext uri_rdf_rest BNODE_l22 uri_rdf_nil))
% 12.66/12.86 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.66/12.86 (iext uri_skos_memberList uri_ex_MyOrderedCollection BNODE_l31))
% 12.66/12.86 (iext uri_rdf_first BNODE_l31 uri_ex_X))
% 12.66/12.86 (iext uri_rdf_rest BNODE_l31 BNODE_l32))
% 12.66/12.86 (iext uri_rdf_first BNODE_l32 uri_ex_Y))
% 12.66/12.86 (iext uri_rdf_rest BNODE_l32 BNODE_l33))
% 12.66/12.86 (iext uri_rdf_first BNODE_l33 uri_ex_Z))
% 12.66/12.86 (iext uri_rdf_rest BNODE_l33 uri_rdf_nil))
% 12.66/12.86 True
% 12.66/12.86 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 12.66/12.86 Eq
% 12.66/12.86 (Exists fun BNODE_l21 =>
% 12.66/12.86 Exists fun BNODE_l22 =>
% 12.66/12.86 Exists fun BNODE_l31 =>
% 12.66/12.86 Exists fun BNODE_l32 =>
% 12.66/12.86 Exists fun BNODE_l33 =>
% 12.66/12.86 And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And
% 12.66/12.86 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.66/12.86 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.66/12.86 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.66/12.86 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.66/12.86 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.66/12.86 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.66/12.86 (iext uri_owl_propertyChainAxiom (skS.0 3 a) BNODE_l21))
% 12.66/12.86 (iext uri_rdf_first BNODE_l21 (skS.0 3 a)))
% 12.66/12.86 (iext uri_rdf_rest BNODE_l21 BNODE_l22))
% 12.66/12.86 (iext uri_rdf_first BNODE_l22 uri_rdf_rest))
% 12.66/12.86 (iext uri_rdf_rest BNODE_l22 uri_rdf_nil))
% 12.66/12.86 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.66/12.86 (iext uri_skos_memberList uri_ex_MyOrderedCollection BNODE_l31))
% 12.66/12.86 (iext uri_rdf_first BNODE_l31 uri_ex_X))
% 12.66/12.87 (iext uri_rdf_rest BNODE_l31 BNODE_l32))
% 12.66/12.87 (iext uri_rdf_first BNODE_l32 uri_ex_Y))
% 12.66/12.87 (iext uri_rdf_rest BNODE_l32 BNODE_l33))
% 12.66/12.87 (iext uri_rdf_first BNODE_l33 uri_ex_Z))
% 12.66/12.87 (iext uri_rdf_rest BNODE_l33 uri_rdf_nil))
% 12.66/12.87 True
% 12.66/12.87 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.66/12.87 Eq
% 12.66/12.87 (Exists fun BNODE_l22 =>
% 12.66/12.87 Exists fun BNODE_l31 =>
% 12.66/12.87 Exists fun BNODE_l32 =>
% 12.66/12.87 Exists fun BNODE_l33 =>
% 12.66/12.87 And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.66/12.87 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.66/12.87 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.66/12.87 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.66/12.87 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.66/12.87 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.66/12.87 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.66/12.87 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.66/12.87 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) BNODE_l22))
% 12.66/12.87 (iext uri_rdf_first BNODE_l22 uri_rdf_rest))
% 12.66/12.87 (iext uri_rdf_rest BNODE_l22 uri_rdf_nil))
% 12.66/12.87 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.66/12.87 (iext uri_skos_memberList uri_ex_MyOrderedCollection BNODE_l31))
% 12.66/12.87 (iext uri_rdf_first BNODE_l31 uri_ex_X))
% 12.66/12.87 (iext uri_rdf_rest BNODE_l31 BNODE_l32))
% 12.66/12.87 (iext uri_rdf_first BNODE_l32 uri_ex_Y))
% 12.66/12.87 (iext uri_rdf_rest BNODE_l32 BNODE_l33))
% 12.66/12.87 (iext uri_rdf_first BNODE_l33 uri_ex_Z))
% 12.66/12.87 (iext uri_rdf_rest BNODE_l33 uri_rdf_nil))
% 12.66/12.87 True
% 12.66/12.87 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.66/12.87 Eq
% 12.66/12.87 (Exists fun BNODE_l31 =>
% 12.66/12.87 Exists fun BNODE_l32 =>
% 12.66/12.87 Exists fun BNODE_l33 =>
% 12.66/12.87 And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And
% 12.66/12.87 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.66/12.87 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.66/12.87 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.66/12.87 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.66/12.87 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.66/12.87 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.66/12.87 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.71/12.89 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.71/12.89 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.71/12.89 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.71/12.89 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.71/12.89 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.71/12.89 (iext uri_skos_memberList uri_ex_MyOrderedCollection BNODE_l31))
% 12.71/12.89 (iext uri_rdf_first BNODE_l31 uri_ex_X))
% 12.71/12.89 (iext uri_rdf_rest BNODE_l31 BNODE_l32))
% 12.71/12.89 (iext uri_rdf_first BNODE_l32 uri_ex_Y))
% 12.71/12.89 (iext uri_rdf_rest BNODE_l32 BNODE_l33))
% 12.71/12.89 (iext uri_rdf_first BNODE_l33 uri_ex_Z))
% 12.71/12.89 (iext uri_rdf_rest BNODE_l33 uri_rdf_nil))
% 12.71/12.89 True
% 12.71/12.89 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 12.71/12.89 Eq
% 12.71/12.89 (Exists fun BNODE_l32 =>
% 12.71/12.89 Exists fun BNODE_l33 =>
% 12.71/12.89 And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.71/12.89 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.71/12.89 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.71/12.89 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.71/12.89 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.71/12.89 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.71/12.89 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.71/12.89 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.71/12.89 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.71/12.89 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.71/12.89 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.71/12.89 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.71/12.89 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.71/12.89 (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X))
% 12.71/12.89 (iext uri_rdf_rest (skS.0 8 a a_1 a_2 a_3 a_4 a_5) BNODE_l32))
% 12.71/12.89 (iext uri_rdf_first BNODE_l32 uri_ex_Y))
% 12.71/12.89 (iext uri_rdf_rest BNODE_l32 BNODE_l33))
% 12.71/12.89 (iext uri_rdf_first BNODE_l33 uri_ex_Z))
% 12.71/12.89 (iext uri_rdf_rest BNODE_l33 uri_rdf_nil))
% 12.71/12.89 True
% 12.71/12.89 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.71/12.89 Eq
% 12.71/12.89 (Exists fun BNODE_l33 =>
% 12.71/12.89 And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And
% 12.71/12.89 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.71/12.89 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.71/12.89 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.71/12.90 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.71/12.90 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.71/12.90 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 8 a a_1 a_2 a_3 a_4 a_5) (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) uri_ex_Y))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) BNODE_l33))
% 12.71/12.90 (iext uri_rdf_first BNODE_l33 uri_ex_Z))
% 12.71/12.90 (iext uri_rdf_rest BNODE_l33 uri_rdf_nil))
% 12.71/12.90 True
% 12.71/12.90 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.71/12.90 Eq
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.71/12.90 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.71/12.90 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.71/12.90 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.71/12.90 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 8 a a_1 a_2 a_3 a_4 a_5) (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) uri_ex_Y))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)))
% 12.71/12.90 (iext uri_rdf_first (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) uri_ex_Z))
% 12.71/12.90 (iext uri_rdf_rest (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) uri_rdf_nil))
% 12.71/12.90 True
% 12.71/12.90 Clause #50 (by clausification #[48]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.71/12.90 Eq
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.90 (And
% 12.71/12.92 (And
% 12.71/12.92 (And
% 12.71/12.92 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.71/12.92 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.71/12.92 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.71/12.92 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.71/12.92 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.71/12.92 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.71/12.92 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.71/12.92 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.71/12.92 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.71/12.92 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.71/12.92 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.71/12.92 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.71/12.92 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.71/12.92 (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X))
% 12.71/12.92 (iext uri_rdf_rest (skS.0 8 a a_1 a_2 a_3 a_4 a_5) (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 12.71/12.92 (iext uri_rdf_first (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) uri_ex_Y))
% 12.71/12.92 (iext uri_rdf_rest (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)))
% 12.71/12.92 (iext uri_rdf_first (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) uri_ex_Z))
% 12.71/12.92 True
% 12.71/12.92 Clause #52 (by clausification #[25]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.71/12.92 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 12.71/12.92 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 12.71/12.92 (Or
% 12.71/12.92 (Eq
% 12.71/12.92 (And (And (And (ip a_1) (ip a_3)) (ip a_4))
% 12.71/12.92 (∀ (Y0 Y1 Y2 : Iota), And (iext a_3 Y0 Y1) (iext a_4 Y1 Y2) → iext a_1 Y0 Y2))
% 12.71/12.92 True)
% 12.71/12.92 (Or (Eq (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a)) False)
% 12.71/12.92 (Eq (iext uri_rdf_first a a_4) False))))
% 12.71/12.92 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.71/12.92 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 12.71/12.92 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 12.71/12.92 (Or (Eq (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a)) False)
% 12.71/12.92 (Or (Eq (iext uri_rdf_first a a_4) False)
% 12.71/12.92 (Eq (∀ (Y0 Y1 Y2 : Iota), And (iext a_3 Y0 Y1) (iext a_4 Y1 Y2) → iext a_1 Y0 Y2) True))))
% 12.71/12.92 Clause #55 (by clausification #[53]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.71/12.92 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 12.71/12.92 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 12.71/12.92 (Or (Eq (iext uri_rdf_first a a_3) False)
% 12.71/12.92 (Or (Eq (∀ (Y0 Y1 Y2 : Iota), And (iext a_4 Y0 Y1) (iext a_3 Y1 Y2) → iext a_1 Y0 Y2) True)
% 12.71/12.92 (Or (Eq (iext uri_rdf_first a_2 a_4) False) (Eq (iext uri_rdf_rest a_2 a) False)))))
% 12.71/12.92 Clause #56 (by clausification #[55]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 12.71/12.92 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 12.71/12.92 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 12.71/12.92 (Or (Eq (iext uri_rdf_first a a_3) False)
% 12.71/12.92 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 12.71/12.92 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 12.71/12.92 (Eq (∀ (Y1 Y2 : Iota), And (iext a_4 a_5 Y1) (iext a_3 Y1 Y2) → iext a_1 a_5 Y2) True)))))
% 12.71/12.92 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.71/12.92 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 12.71/12.92 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 12.71/12.92 (Or (Eq (iext uri_rdf_first a a_3) False)
% 12.71/12.92 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 12.71/12.92 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 12.71/12.92 (Eq (∀ (Y2 : Iota), And (iext a_4 a_5 a_6) (iext a_3 a_6 Y2) → iext a_1 a_5 Y2) True)))))
% 12.71/12.92 Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.71/12.92 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 12.71/12.94 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_first a a_3) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 12.71/12.94 (Eq (And (iext a_4 a_5 a_6) (iext a_3 a_6 a_7) → iext a_1 a_5 a_7) True)))))
% 12.71/12.94 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.71/12.94 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 12.71/12.94 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_first a a_3) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 12.71/12.94 (Or (Eq (And (iext a_4 a_5 a_6) (iext a_3 a_6 a_7)) False) (Eq (iext a_1 a_5 a_7) True))))))
% 12.71/12.94 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.71/12.94 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 12.71/12.94 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_first a a_3) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 12.71/12.94 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 12.71/12.94 (Or (Eq (iext a_1 a_5 a_6) True) (Or (Eq (iext a_4 a_5 a_7) False) (Eq (iext a_3 a_7 a_6) False)))))))
% 12.71/12.94 Clause #77 (by clausification #[50]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), Eq (iext uri_rdf_first (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6 a_7) uri_ex_Z) True
% 12.71/12.94 Clause #78 (by clausification #[50]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.71/12.94 Eq
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.71/12.94 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.71/12.94 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.71/12.94 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.71/12.94 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.71/12.94 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.71/12.94 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.71/12.94 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.71/12.94 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.71/12.94 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.71/12.94 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.71/12.94 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.71/12.94 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.71/12.94 (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X))
% 12.71/12.94 (iext uri_rdf_rest (skS.0 8 a a_1 a_2 a_3 a_4 a_5) (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 12.71/12.94 (iext uri_rdf_first (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) uri_ex_Y))
% 12.71/12.94 (iext uri_rdf_rest (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)))
% 12.71/12.94 True
% 12.71/12.94 Clause #90 (by clausification #[78]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.71/12.94 Eq (iext uri_rdf_rest (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) (skS.0 10 a a_1 a_2 a_3 a_4 a_5 a_6 a_7)) True
% 12.71/12.94 Clause #91 (by clausification #[78]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.71/12.94 Eq
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And
% 12.71/12.94 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.71/12.94 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/12.95 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.77/12.95 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.77/12.95 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 8 a a_1 a_2 a_3 a_4 a_5) (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) uri_ex_Y))
% 12.77/12.95 True
% 12.77/12.95 Clause #98 (by clausification #[91]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), Eq (iext uri_rdf_first (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6) uri_ex_Y) True
% 12.77/12.95 Clause #99 (by clausification #[91]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.77/12.95 Eq
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/12.95 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/12.95 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.77/12.95 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.77/12.95 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 8 a a_1 a_2 a_3 a_4 a_5) (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6)))
% 12.77/12.95 True
% 12.77/12.95 Clause #105 (by clausification #[99]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.77/12.95 Eq (iext uri_rdf_rest (skS.0 8 a a_1 a_2 a_3 a_4 a_5) (skS.0 9 a a_1 a_2 a_3 a_4 a_5 a_6)) True
% 12.77/12.95 Clause #106 (by clausification #[99]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 12.77/12.95 Eq
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And
% 12.77/12.95 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/12.95 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/12.95 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/12.95 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/12.95 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.77/12.96 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.77/12.96 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X))
% 12.77/12.96 True
% 12.77/12.96 Clause #114 (by clausification #[106]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), Eq (iext uri_rdf_first (skS.0 8 a a_1 a_2 a_3 a_4 a_5) uri_ex_X) True
% 12.77/12.96 Clause #115 (by clausification #[106]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 12.77/12.96 Eq
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/12.96 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/12.96 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.77/12.96 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.77/12.96 (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)))
% 12.77/12.96 True
% 12.77/12.96 Clause #122 (by clausification #[115]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 12.77/12.96 Eq (iext uri_skos_memberList uri_ex_MyOrderedCollection (skS.0 8 a a_1 a_2 a_3 a_4 a_5)) True
% 12.77/12.96 Clause #123 (by clausification #[115]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.77/12.96 Eq
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/12.96 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/12.96 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.77/12.96 (iext uri_rdf_type uri_ex_MyOrderedCollection uri_skos_OrderedCollection))
% 12.77/12.96 True
% 12.77/12.96 Clause #125 (by clausification #[123]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.77/12.96 Eq
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And
% 12.77/12.96 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/12.96 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/12.96 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/12.96 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/12.98 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil))
% 12.77/12.98 True
% 12.77/12.98 Clause #126 (by clausification #[125]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (iext uri_rdf_rest (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_nil) True
% 12.77/12.98 Clause #127 (by clausification #[125]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.77/12.98 Eq
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/12.98 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/12.98 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest))
% 12.77/12.98 True
% 12.77/12.98 Clause #129 (by superposition #[126, 60]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 12.77/12.98 Or (Eq True False)
% 12.77/12.98 (Or (Eq (iext uri_owl_propertyChainAxiom a a_1) False)
% 12.77/12.98 (Or (Eq (iext uri_rdf_first (skS.0 7 a_2 a_3 a_4 a_5 a_6) a_7) False)
% 12.77/12.98 (Or (Eq (iext uri_rdf_first a_1 a_8) False)
% 12.77/12.98 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 7 a_2 a_3 a_4 a_5 a_6)) False)
% 12.77/12.98 (Or (Eq (iext a a_9 a_10) True) (Or (Eq (iext a_8 a_9 a_11) False) (Eq (iext a_7 a_11 a_10) False)))))))
% 12.77/12.98 Clause #138 (by clausification #[129]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 12.77/12.98 Or (Eq (iext uri_owl_propertyChainAxiom a a_1) False)
% 12.77/12.98 (Or (Eq (iext uri_rdf_first (skS.0 7 a_2 a_3 a_4 a_5 a_6) a_7) False)
% 12.77/12.98 (Or (Eq (iext uri_rdf_first a_1 a_8) False)
% 12.77/12.98 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 7 a_2 a_3 a_4 a_5 a_6)) False)
% 12.77/12.98 (Or (Eq (iext a a_9 a_10) True) (Or (Eq (iext a_8 a_9 a_11) False) (Eq (iext a_7 a_11 a_10) False))))))
% 12.77/12.98 Clause #140 (by clausification #[127]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) uri_rdf_rest) True
% 12.77/12.98 Clause #141 (by clausification #[127]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 12.77/12.98 Eq
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/12.98 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/12.98 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/12.98 (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)))
% 12.77/12.98 True
% 12.77/12.98 Clause #162 (by clausification #[141]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a a_1 a_2 a_3 a_4)) True
% 12.77/12.98 Clause #163 (by clausification #[141]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.77/12.98 Eq
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And
% 12.77/12.98 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/12.98 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/12.98 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/13.00 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/13.00 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/13.00 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/13.00 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/13.00 (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)))
% 12.77/13.00 True
% 12.77/13.00 Clause #185 (by clausification #[163]): ∀ (a a_1 a_2 a_3 : Iota), Eq (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) (skS.0 3 a)) True
% 12.77/13.00 Clause #186 (by clausification #[163]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.77/13.00 Eq
% 12.77/13.00 (And
% 12.77/13.00 (And
% 12.77/13.00 (And
% 12.77/13.00 (And
% 12.77/13.00 (And
% 12.77/13.00 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/13.00 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/13.00 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/13.00 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/13.00 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/13.01 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/13.01 (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)))
% 12.77/13.01 True
% 12.77/13.01 Clause #195 (by clausification #[186]): ∀ (a a_1 a_2 a_3 : Iota), Eq (iext uri_owl_propertyChainAxiom (skS.0 3 a) (skS.0 6 a a_1 a_2 a_3)) True
% 12.77/13.01 Clause #196 (by clausification #[186]): ∀ (a a_1 a_2 : Iota),
% 12.77/13.01 Eq
% 12.77/13.01 (And
% 12.77/13.01 (And
% 12.77/13.01 (And
% 12.77/13.01 (And
% 12.77/13.01 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/13.01 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/13.01 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/13.01 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/13.01 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/13.01 (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil))
% 12.77/13.01 True
% 12.77/13.01 Clause #204 (by superposition #[195, 138]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : Iota),
% 12.77/13.01 Or (Eq True False)
% 12.77/13.01 (Or (Eq (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) a_5) False)
% 12.77/13.01 (Or (Eq (iext uri_rdf_first (skS.0 6 a_6 a_7 a_8 a_9) a_10) False)
% 12.77/13.01 (Or (Eq (iext uri_rdf_rest (skS.0 6 a_6 a_7 a_8 a_9) (skS.0 7 a a_1 a_2 a_3 a_4)) False)
% 12.77/13.01 (Or (Eq (iext (skS.0 3 a_6) a_11 a_12) True)
% 12.77/13.01 (Or (Eq (iext a_10 a_11 a_13) False) (Eq (iext a_5 a_13 a_12) False))))))
% 12.77/13.01 Clause #341 (by clausification #[204]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 a_13 : Iota),
% 12.77/13.01 Or (Eq (iext uri_rdf_first (skS.0 7 a a_1 a_2 a_3 a_4) a_5) False)
% 12.77/13.01 (Or (Eq (iext uri_rdf_first (skS.0 6 a_6 a_7 a_8 a_9) a_10) False)
% 12.77/13.01 (Or (Eq (iext uri_rdf_rest (skS.0 6 a_6 a_7 a_8 a_9) (skS.0 7 a a_1 a_2 a_3 a_4)) False)
% 12.77/13.01 (Or (Eq (iext (skS.0 3 a_6) a_11 a_12) True)
% 12.77/13.01 (Or (Eq (iext a_10 a_11 a_13) False) (Eq (iext a_5 a_13 a_12) False)))))
% 12.77/13.01 Clause #342 (by superposition #[341, 140]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota),
% 12.77/13.01 Or (Eq (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) a_4) False)
% 12.77/13.01 (Or (Eq (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a_5 a_6 a_7 a_8 a_9)) False)
% 12.77/13.01 (Or (Eq (iext (skS.0 3 a) a_10 a_11) True)
% 12.77/13.01 (Or (Eq (iext a_4 a_10 a_12) False) (Or (Eq (iext uri_rdf_rest a_12 a_11) False) (Eq False True)))))
% 12.77/13.01 Clause #343 (by clausification #[196]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_rest (skS.0 5 a a_1 a_2) uri_rdf_nil) True
% 12.77/13.01 Clause #344 (by clausification #[196]): ∀ (a a_1 a_2 : Iota),
% 12.77/13.01 Eq
% 12.77/13.01 (And
% 12.77/13.01 (And
% 12.77/13.01 (And
% 12.77/13.01 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/13.01 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/13.01 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/13.01 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/13.01 (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first))
% 12.77/13.01 True
% 12.77/13.01 Clause #346 (by superposition #[343, 60]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 12.77/13.01 Or (Eq True False)
% 12.77/13.01 (Or (Eq (iext uri_owl_propertyChainAxiom a a_1) False)
% 12.77/13.01 (Or (Eq (iext uri_rdf_first (skS.0 5 a_2 a_3 a_4) a_5) False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_first a_1 a_6) False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 5 a_2 a_3 a_4)) False)
% 12.77/13.03 (Or (Eq (iext a a_7 a_8) True) (Or (Eq (iext a_6 a_7 a_9) False) (Eq (iext a_5 a_9 a_8) False)))))))
% 12.77/13.03 Clause #370 (by clausification #[346]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 12.77/13.03 Or (Eq (iext uri_owl_propertyChainAxiom a a_1) False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_first (skS.0 5 a_2 a_3 a_4) a_5) False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_first a_1 a_6) False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 5 a_2 a_3 a_4)) False)
% 12.77/13.03 (Or (Eq (iext a a_7 a_8) True) (Or (Eq (iext a_6 a_7 a_9) False) (Eq (iext a_5 a_9 a_8) False))))))
% 12.77/13.03 Clause #382 (by clausification #[342]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 a_12 : Iota),
% 12.77/13.03 Or (Eq (iext uri_rdf_first (skS.0 6 a a_1 a_2 a_3) a_4) False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a_5 a_6 a_7 a_8 a_9)) False)
% 12.77/13.03 (Or (Eq (iext (skS.0 3 a) a_10 a_11) True)
% 12.77/13.03 (Or (Eq (iext a_4 a_10 a_12) False) (Eq (iext uri_rdf_rest a_12 a_11) False))))
% 12.77/13.03 Clause #383 (by superposition #[382, 185]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 12.77/13.03 Or (Eq (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a_4 a_5 a_6 a_7 a_8)) False)
% 12.77/13.03 (Or (Eq (iext (skS.0 3 a) a_9 a_10) True)
% 12.77/13.03 (Or (Eq (iext (skS.0 3 a) a_9 a_11) False) (Or (Eq (iext uri_rdf_rest a_11 a_10) False) (Eq False True))))
% 12.77/13.03 Clause #384 (by clausification #[383]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 a_10 a_11 : Iota),
% 12.77/13.03 Or (Eq (iext uri_rdf_rest (skS.0 6 a a_1 a_2 a_3) (skS.0 7 a_4 a_5 a_6 a_7 a_8)) False)
% 12.77/13.03 (Or (Eq (iext (skS.0 3 a) a_9 a_10) True)
% 12.77/13.03 (Or (Eq (iext (skS.0 3 a) a_9 a_11) False) (Eq (iext uri_rdf_rest a_11 a_10) False)))
% 12.77/13.03 Clause #385 (by superposition #[384, 162]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.77/13.03 Or (Eq (iext (skS.0 3 a) a_1 a_2) True)
% 12.77/13.03 (Or (Eq (iext (skS.0 3 a) a_1 a_3) False) (Or (Eq (iext uri_rdf_rest a_3 a_2) False) (Eq False True)))
% 12.77/13.03 Clause #386 (by clausification #[385]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.77/13.03 Or (Eq (iext (skS.0 3 a) a_1 a_2) True)
% 12.77/13.03 (Or (Eq (iext (skS.0 3 a) a_1 a_3) False) (Eq (iext uri_rdf_rest a_3 a_2) False))
% 12.77/13.03 Clause #396 (by clausification #[344]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_first (skS.0 5 a a_1 a_2) uri_rdf_first) True
% 12.77/13.03 Clause #397 (by clausification #[344]): ∀ (a a_1 a_2 : Iota),
% 12.77/13.03 Eq
% 12.77/13.03 (And
% 12.77/13.03 (And
% 12.77/13.03 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/13.03 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/13.03 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/13.03 (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)))
% 12.77/13.03 True
% 12.77/13.03 Clause #414 (by clausification #[397]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a a_1 a_2)) True
% 12.77/13.03 Clause #415 (by clausification #[397]): ∀ (a a_1 : Iota),
% 12.77/13.03 Eq
% 12.77/13.03 (And
% 12.77/13.03 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/13.03 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/13.03 (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)))
% 12.77/13.03 True
% 12.77/13.03 Clause #416 (by clausification #[415]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_first (skS.0 4 a a_1) (skS.0 3 a)) True
% 12.77/13.03 Clause #417 (by clausification #[415]): ∀ (a a_1 : Iota),
% 12.77/13.03 Eq
% 12.77/13.03 (And (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a))
% 12.77/13.03 (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)))
% 12.77/13.03 True
% 12.77/13.03 Clause #425 (by clausification #[417]): ∀ (a a_1 : Iota), Eq (iext uri_owl_propertyChainAxiom uri_skos_member (skS.0 4 a a_1)) True
% 12.77/13.03 Clause #426 (by clausification #[417]): ∀ (a : Iota), Eq (iext uri_rdfs_subPropertyOf uri_skos_memberList (skS.0 3 a)) True
% 12.77/13.03 Clause #438 (by superposition #[425, 370]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 12.77/13.03 Or (Eq True False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_first (skS.0 5 a a_1 a_2) a_3) False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_first (skS.0 4 a_4 a_5) a_6) False)
% 12.77/13.03 (Or (Eq (iext uri_rdf_rest (skS.0 4 a_4 a_5) (skS.0 5 a a_1 a_2)) False)
% 12.77/13.03 (Or (Eq (iext uri_skos_member a_7 a_8) True)
% 12.77/13.03 (Or (Eq (iext a_6 a_7 a_9) False) (Eq (iext a_3 a_9 a_8) False))))))
% 12.77/13.05 Clause #439 (by superposition #[426, 14]): ∀ (a a_1 a_2 : Iota),
% 12.77/13.05 Or (Eq True False) (Or (Eq (iext uri_skos_memberList a a_1) False) (Eq (iext (skS.0 3 a_2) a a_1) True))
% 12.77/13.05 Clause #446 (by clausification #[439]): ∀ (a a_1 a_2 : Iota), Or (Eq (iext uri_skos_memberList a a_1) False) (Eq (iext (skS.0 3 a_2) a a_1) True)
% 12.77/13.05 Clause #447 (by superposition #[446, 122]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.77/13.05 Or (Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6)) True) (Eq False True)
% 12.77/13.05 Clause #449 (by clausification #[447]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.77/13.05 Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6)) True
% 12.77/13.05 Clause #450 (by superposition #[449, 386]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.77/13.05 Or (Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection a_1) True)
% 12.77/13.05 (Or (Eq True False) (Eq (iext uri_rdf_rest (skS.0 8 a_2 a_3 a_4 a_5 a_6 a_7) a_1) False))
% 12.77/13.05 Clause #451 (by clausification #[450]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.77/13.05 Or (Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection a_1) True)
% 12.77/13.05 (Eq (iext uri_rdf_rest (skS.0 8 a_2 a_3 a_4 a_5 a_6 a_7) a_1) False)
% 12.77/13.05 Clause #452 (by superposition #[451, 105]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.77/13.05 Or (Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7)) True) (Eq False True)
% 12.77/13.05 Clause #453 (by clausification #[452]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.77/13.05 Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7)) True
% 12.77/13.05 Clause #454 (by superposition #[453, 386]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 12.77/13.05 Or (Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection a_1) True)
% 12.77/13.05 (Or (Eq True False) (Eq (iext uri_rdf_rest (skS.0 9 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a_1) False))
% 12.77/13.05 Clause #455 (by clausification #[454]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 12.77/13.05 Or (Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection a_1) True)
% 12.77/13.05 (Eq (iext uri_rdf_rest (skS.0 9 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a_1) False)
% 12.77/13.05 Clause #456 (by superposition #[455, 90]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 12.77/13.05 Or (Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)) True) (Eq False True)
% 12.77/13.05 Clause #457 (by clausification #[456]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 12.77/13.05 Eq (iext (skS.0 3 a) uri_ex_MyOrderedCollection (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8)) True
% 12.77/13.05 Clause #593 (by clausification #[438]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 a_9 : Iota),
% 12.77/13.05 Or (Eq (iext uri_rdf_first (skS.0 5 a a_1 a_2) a_3) False)
% 12.77/13.05 (Or (Eq (iext uri_rdf_first (skS.0 4 a_4 a_5) a_6) False)
% 12.77/13.05 (Or (Eq (iext uri_rdf_rest (skS.0 4 a_4 a_5) (skS.0 5 a a_1 a_2)) False)
% 12.77/13.05 (Or (Eq (iext uri_skos_member a_7 a_8) True) (Or (Eq (iext a_6 a_7 a_9) False) (Eq (iext a_3 a_9 a_8) False)))))
% 12.77/13.05 Clause #594 (by superposition #[593, 396]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 12.77/13.05 Or (Eq (iext uri_rdf_first (skS.0 4 a a_1) a_2) False)
% 12.77/13.05 (Or (Eq (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a_3 a_4 a_5)) False)
% 12.77/13.05 (Or (Eq (iext uri_skos_member a_6 a_7) True)
% 12.77/13.05 (Or (Eq (iext a_2 a_6 a_8) False) (Or (Eq (iext uri_rdf_first a_8 a_7) False) (Eq False True)))))
% 12.77/13.05 Clause #595 (by clausification #[594]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 12.77/13.05 Or (Eq (iext uri_rdf_first (skS.0 4 a a_1) a_2) False)
% 12.77/13.05 (Or (Eq (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a_3 a_4 a_5)) False)
% 12.77/13.05 (Or (Eq (iext uri_skos_member a_6 a_7) True)
% 12.77/13.05 (Or (Eq (iext a_2 a_6 a_8) False) (Eq (iext uri_rdf_first a_8 a_7) False))))
% 12.77/13.05 Clause #596 (by superposition #[595, 416]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.77/13.05 Or (Eq (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a_2 a_3 a_4)) False)
% 12.77/13.05 (Or (Eq (iext uri_skos_member a_5 a_6) True)
% 12.77/13.05 (Or (Eq (iext (skS.0 3 a) a_5 a_7) False) (Or (Eq (iext uri_rdf_first a_7 a_6) False) (Eq False True))))
% 12.77/13.05 Clause #597 (by clausification #[596]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.77/13.05 Or (Eq (iext uri_rdf_rest (skS.0 4 a a_1) (skS.0 5 a_2 a_3 a_4)) False)
% 12.77/13.07 (Or (Eq (iext uri_skos_member a_5 a_6) True)
% 12.77/13.07 (Or (Eq (iext (skS.0 3 a) a_5 a_7) False) (Eq (iext uri_rdf_first a_7 a_6) False)))
% 12.77/13.07 Clause #598 (by superposition #[597, 414]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.77/13.07 Or (Eq (iext uri_skos_member a a_1) True)
% 12.77/13.07 (Or (Eq (iext (skS.0 3 a_2) a a_3) False) (Or (Eq (iext uri_rdf_first a_3 a_1) False) (Eq False True)))
% 12.77/13.07 Clause #599 (by clausification #[598]): ∀ (a a_1 a_2 a_3 : Iota),
% 12.77/13.07 Or (Eq (iext uri_skos_member a a_1) True)
% 12.77/13.07 (Or (Eq (iext (skS.0 3 a_2) a a_3) False) (Eq (iext uri_rdf_first a_3 a_1) False))
% 12.77/13.07 Clause #602 (by superposition #[599, 449]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.77/13.07 Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection a) True)
% 12.77/13.07 (Or (Eq (iext uri_rdf_first (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6) a) False) (Eq False True))
% 12.77/13.07 Clause #603 (by superposition #[599, 453]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.77/13.07 Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection a) True)
% 12.77/13.07 (Or (Eq (iext uri_rdf_first (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7) a) False) (Eq False True))
% 12.77/13.07 Clause #604 (by superposition #[599, 457]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 12.77/13.07 Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection a) True)
% 12.77/13.07 (Or (Eq (iext uri_rdf_first (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a) False) (Eq False True))
% 12.77/13.07 Clause #611 (by clausification #[602]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 12.77/13.07 Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection a) True)
% 12.77/13.07 (Eq (iext uri_rdf_first (skS.0 8 a_1 a_2 a_3 a_4 a_5 a_6) a) False)
% 12.77/13.07 Clause #612 (by superposition #[611, 114]): Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_X) True) (Eq False True)
% 12.77/13.07 Clause #613 (by clausification #[612]): Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_X) True
% 12.77/13.07 Clause #614 (by backward demodulation #[613, 6]): Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Z) False)
% 12.77/13.07 (Or (Eq True False) (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y) False))
% 12.77/13.07 Clause #615 (by clausification #[614]): Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Z) False)
% 12.77/13.07 (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y) False)
% 12.77/13.07 Clause #616 (by clausification #[603]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 12.77/13.07 Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection a) True)
% 12.77/13.07 (Eq (iext uri_rdf_first (skS.0 9 a_1 a_2 a_3 a_4 a_5 a_6 a_7) a) False)
% 12.77/13.07 Clause #617 (by superposition #[616, 98]): Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y) True) (Eq False True)
% 12.77/13.07 Clause #618 (by clausification #[617]): Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y) True
% 12.77/13.07 Clause #620 (by clausification #[604]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 12.77/13.07 Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection a) True)
% 12.77/13.07 (Eq (iext uri_rdf_first (skS.0 10 a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8) a) False)
% 12.77/13.07 Clause #621 (by superposition #[620, 77]): Or (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Z) True) (Eq False True)
% 12.77/13.07 Clause #622 (by clausification #[621]): Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Z) True
% 12.77/13.07 Clause #623 (by backward demodulation #[622, 615]): Or (Eq True False) (Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y) False)
% 12.77/13.07 Clause #624 (by clausification #[623]): Eq (iext uri_skos_member uri_ex_MyOrderedCollection uri_ex_Y) False
% 12.77/13.07 Clause #625 (by superposition #[624, 618]): Eq False True
% 12.77/13.07 Clause #626 (by clausification #[625]): False
% 12.77/13.07 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------