TSTP Solution File: SWB027+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n003.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 20:04:08 EDT 2023
% Result : Theorem 5.88s 6.11s
% Output : Proof 6.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.12 % Command : duper %s
% 0.13/0.34 % Computer : n003.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 07:37:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 5.88/6.11 SZS status Theorem for theBenchmark.p
% 5.88/6.11 SZS output start Proof for theBenchmark.p
% 5.88/6.11 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 5.88/6.11 Clause #1 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (iext uri_owl_sameAs X Y) (Eq X Y)) True
% 5.88/6.11 Clause #2 (by assumption #[]): Eq
% 5.88/6.11 (∀ (P S1 P1 S2 P2 : Iota),
% 5.88/6.11 And (And (And (iext uri_rdf_first S1 P1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 P2))
% 5.88/6.11 (iext uri_rdf_rest S2 uri_rdf_nil) →
% 5.88/6.11 Iff (iext uri_owl_propertyChainAxiom P S1)
% 5.88/6.11 (And (And (And (ip P) (ip P1)) (ip P2))
% 5.88/6.11 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext P Y0 Y2)))
% 5.88/6.11 True
% 5.88/6.11 Clause #3 (by assumption #[]): Eq
% 5.88/6.11 (∀ (P : Iota),
% 5.88/6.11 Iff (icext uri_owl_InverseFunctionalProperty P)
% 5.88/6.11 (And (ip P) (∀ (X1 X2 Y : Iota), And (iext P X1 Y) (iext P X2 Y) → Eq X1 X2)))
% 5.88/6.11 True
% 5.88/6.11 Clause #4 (by assumption #[]): Eq
% 5.88/6.11 (∀ (P1 P2 : Iota),
% 5.88/6.11 Iff (iext uri_owl_inverseOf P1 P2) (And (And (ip P1) (ip P2)) (∀ (X Y : Iota), Iff (iext P1 X Y) (iext P2 Y X))))
% 5.88/6.11 True
% 5.88/6.11 Clause #5 (by assumption #[]): Eq (Not (iext uri_rdf_type uri_ex_p uri_owl_InverseFunctionalProperty)) True
% 5.88/6.11 Clause #6 (by assumption #[]): Eq
% 5.88/6.11 (Exists fun BNODE_l1 =>
% 5.88/6.11 Exists fun BNODE_l2 =>
% 5.88/6.11 Exists fun BNODE_v =>
% 5.88/6.11 And
% 5.88/6.11 (And
% 5.88/6.11 (And
% 5.88/6.11 (And
% 5.88/6.11 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs BNODE_l1) (iext uri_rdf_first BNODE_l1 uri_ex_p))
% 5.88/6.11 (iext uri_rdf_rest BNODE_l1 BNODE_l2))
% 5.88/6.11 (iext uri_rdf_first BNODE_l2 BNODE_v))
% 5.88/6.11 (iext uri_rdf_rest BNODE_l2 uri_rdf_nil))
% 5.88/6.11 (iext uri_owl_inverseOf BNODE_v uri_ex_p))
% 5.88/6.11 True
% 5.88/6.11 Clause #7 (by clausification #[5]): Eq (iext uri_rdf_type uri_ex_p uri_owl_InverseFunctionalProperty) False
% 5.88/6.11 Clause #8 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 5.88/6.11 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 5.88/6.11 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False)
% 5.88/6.11 Clause #12 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (iext uri_owl_sameAs a Y) (Eq a Y)) True
% 5.88/6.11 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_owl_sameAs a a_1) (Eq a a_1)) True
% 5.88/6.11 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq (Eq a a_1) True)
% 5.88/6.11 Clause #18 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq a a_1)
% 5.88/6.11 Clause #20 (by clausification #[2]): ∀ (a : Iota),
% 5.88/6.11 Eq
% 5.88/6.11 (∀ (S1 P1 S2 P2 : Iota),
% 5.88/6.11 And (And (And (iext uri_rdf_first S1 P1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 P2))
% 5.88/6.11 (iext uri_rdf_rest S2 uri_rdf_nil) →
% 5.88/6.11 Iff (iext uri_owl_propertyChainAxiom a S1)
% 5.88/6.11 (And (And (And (ip a) (ip P1)) (ip P2))
% 5.88/6.11 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext a Y0 Y2)))
% 5.88/6.11 True
% 5.88/6.11 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota),
% 5.88/6.11 Eq
% 5.88/6.11 (∀ (P1 S2 P2 : Iota),
% 5.88/6.11 And (And (And (iext uri_rdf_first a P1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 P2))
% 5.88/6.11 (iext uri_rdf_rest S2 uri_rdf_nil) →
% 5.88/6.11 Iff (iext uri_owl_propertyChainAxiom a_1 a)
% 5.88/6.11 (And (And (And (ip a_1) (ip P1)) (ip P2))
% 5.88/6.11 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext a_1 Y0 Y2)))
% 5.88/6.11 True
% 5.88/6.11 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota),
% 5.88/6.11 Eq
% 5.88/6.11 (∀ (S2 P2 : Iota),
% 5.88/6.11 And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 P2))
% 5.88/6.11 (iext uri_rdf_rest S2 uri_rdf_nil) →
% 5.88/6.11 Iff (iext uri_owl_propertyChainAxiom a_2 a)
% 5.88/6.11 (And (And (And (ip a_2) (ip a_1)) (ip P2))
% 5.88/6.11 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext P2 Y1 Y2) → iext a_2 Y0 Y2)))
% 5.88/6.11 True
% 5.88/6.11 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.88/6.11 Eq
% 5.88/6.11 (∀ (P2 : Iota),
% 5.88/6.11 And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 P2))
% 5.88/6.13 (iext uri_rdf_rest a_2 uri_rdf_nil) →
% 5.88/6.13 Iff (iext uri_owl_propertyChainAxiom a_3 a)
% 5.88/6.13 (And (And (And (ip a_3) (ip a_1)) (ip P2))
% 5.88/6.13 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext P2 Y1 Y2) → iext a_3 Y0 Y2)))
% 5.88/6.13 True
% 5.88/6.13 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.88/6.13 Eq
% 5.88/6.13 (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))
% 5.88/6.13 (iext uri_rdf_rest a_2 uri_rdf_nil) →
% 5.88/6.13 Iff (iext uri_owl_propertyChainAxiom a_4 a)
% 5.88/6.13 (And (And (And (ip a_4) (ip a_1)) (ip a_3))
% 5.88/6.13 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2)))
% 5.88/6.13 True
% 5.88/6.13 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.88/6.13 Or
% 5.88/6.13 (Eq
% 5.88/6.13 (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))
% 5.88/6.13 (iext uri_rdf_rest a_2 uri_rdf_nil))
% 5.88/6.13 False)
% 5.88/6.13 (Eq
% 5.88/6.13 (Iff (iext uri_owl_propertyChainAxiom a_4 a)
% 5.88/6.13 (And (And (And (ip a_4) (ip a_1)) (ip a_3))
% 5.88/6.13 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2)))
% 5.88/6.13 True)
% 5.88/6.13 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.88/6.13 Or
% 5.88/6.13 (Eq
% 5.88/6.13 (Iff (iext uri_owl_propertyChainAxiom a a_1)
% 5.88/6.13 (And (And (And (ip a) (ip a_2)) (ip a_3))
% 5.88/6.13 (∀ (Y0 Y1 Y2 : Iota), And (iext a_2 Y0 Y1) (iext a_3 Y1 Y2) → iext a Y0 Y2)))
% 5.88/6.13 True)
% 5.88/6.13 (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)
% 5.88/6.13 (Eq (iext uri_rdf_rest a_4 uri_rdf_nil) False))
% 5.88/6.13 Clause #28 (by clausification #[26]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 5.88/6.13 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)
% 5.88/6.13 (Or (Eq (iext uri_rdf_rest a_2 uri_rdf_nil) False)
% 5.88/6.13 (Or (Eq (iext uri_owl_propertyChainAxiom a_4 a) False)
% 5.88/6.13 (Eq
% 5.88/6.13 (And (And (And (ip a_4) (ip a_1)) (ip a_3))
% 5.88/6.13 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2))
% 5.88/6.13 True)))
% 5.88/6.13 Clause #45 (by clausification #[3]): ∀ (a : Iota),
% 5.88/6.13 Eq
% 5.88/6.13 (Iff (icext uri_owl_InverseFunctionalProperty a)
% 5.88/6.13 (And (ip a) (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2)))
% 5.88/6.13 True
% 5.88/6.13 Clause #46 (by clausification #[45]): ∀ (a : Iota),
% 5.88/6.13 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 5.88/6.13 (Eq (And (ip a) (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2)) False)
% 5.88/6.13 Clause #48 (by clausification #[46]): ∀ (a : Iota),
% 5.88/6.13 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 5.88/6.13 (Or (Eq (ip a) False) (Eq (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2) False))
% 5.88/6.13 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota),
% 5.88/6.13 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 5.88/6.13 (Or (Eq (ip a) False)
% 5.88/6.13 (Eq (Not (∀ (X2 Y : Iota), And (iext a (skS.0 3 a a_1) Y) (iext a X2 Y) → Eq (skS.0 3 a a_1) X2)) True))
% 5.88/6.13 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 5.88/6.13 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 5.88/6.13 (Or (Eq (ip a) False)
% 5.88/6.13 (Eq (∀ (X2 Y : Iota), And (iext a (skS.0 3 a a_1) Y) (iext a X2 Y) → Eq (skS.0 3 a a_1) X2) False))
% 5.88/6.13 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota),
% 5.88/6.13 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 5.88/6.13 (Or (Eq (ip a) False)
% 5.88/6.13 (Eq
% 5.88/6.13 (Not
% 5.88/6.13 (∀ (Y : Iota),
% 5.88/6.13 And (iext a (skS.0 3 a a_1) Y) (iext a (skS.0 4 a a_1 a_2) Y) → Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 5.88/6.13 True))
% 5.88/6.13 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota),
% 5.88/6.13 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 5.88/6.13 (Or (Eq (ip a) False)
% 5.88/6.13 (Eq
% 5.88/6.13 (∀ (Y : Iota),
% 5.88/6.13 And (iext a (skS.0 3 a a_1) Y) (iext a (skS.0 4 a a_1 a_2) Y) → Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))
% 5.88/6.13 False))
% 5.88/6.13 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 a_3 : Iota),
% 5.88/6.13 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 5.88/6.13 (Or (Eq (ip a) False)
% 5.88/6.13 (Eq
% 6.01/6.15 (Not
% 6.01/6.15 (And (iext a (skS.0 3 a a_1) (skS.0 5 a a_1 a_2 a_3)) (iext a (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)) →
% 6.01/6.15 Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 6.01/6.15 True))
% 6.01/6.15 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.01/6.15 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 6.01/6.15 (Or (Eq (ip a) False)
% 6.01/6.15 (Eq
% 6.01/6.15 (And (iext a (skS.0 3 a a_1) (skS.0 5 a a_1 a_2 a_3)) (iext a (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)) →
% 6.01/6.15 Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))
% 6.01/6.15 False))
% 6.01/6.15 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.01/6.15 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 6.01/6.15 (Or (Eq (ip a) False)
% 6.01/6.15 (Eq (And (iext a (skS.0 3 a a_1) (skS.0 5 a a_1 a_2 a_3)) (iext a (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)))
% 6.01/6.15 True))
% 6.01/6.15 Clause #56 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 6.01/6.15 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 6.01/6.15 (Or (Eq (ip a) False) (Eq (Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) False))
% 6.01/6.15 Clause #57 (by clausification #[55]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.01/6.15 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 6.01/6.15 (Or (Eq (ip a) False) (Eq (iext a (skS.0 4 a a_1 a_2) (skS.0 5 a a_1 a_2 a_3)) True))
% 6.01/6.15 Clause #58 (by clausification #[55]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.01/6.15 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 6.01/6.15 (Or (Eq (ip a) False) (Eq (iext a (skS.0 3 a a_1) (skS.0 5 a a_1 a_2 a_3)) True))
% 6.01/6.15 Clause #67 (by clausification #[4]): ∀ (a : Iota),
% 6.01/6.15 Eq
% 6.01/6.15 (∀ (P2 : Iota),
% 6.01/6.15 Iff (iext uri_owl_inverseOf a P2) (And (And (ip a) (ip P2)) (∀ (X Y : Iota), Iff (iext a X Y) (iext P2 Y X))))
% 6.01/6.15 True
% 6.01/6.15 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota),
% 6.01/6.15 Eq (Iff (iext uri_owl_inverseOf a a_1) (And (And (ip a) (ip a_1)) (∀ (X Y : Iota), Iff (iext a X Y) (iext a_1 Y X))))
% 6.01/6.15 True
% 6.01/6.15 Clause #70 (by clausification #[68]): ∀ (a a_1 : Iota),
% 6.01/6.15 Or (Eq (iext uri_owl_inverseOf a a_1) False)
% 6.01/6.15 (Eq (And (And (ip a) (ip a_1)) (∀ (X Y : Iota), Iff (iext a X Y) (iext a_1 Y X))) True)
% 6.01/6.15 Clause #79 (by clausification #[6]): ∀ (a : Iota),
% 6.01/6.15 Eq
% 6.01/6.15 (Exists fun BNODE_l2 =>
% 6.01/6.15 Exists fun BNODE_v =>
% 6.01/6.15 And
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a))
% 6.01/6.15 (iext uri_rdf_first (skS.0 8 a) uri_ex_p))
% 6.01/6.15 (iext uri_rdf_rest (skS.0 8 a) BNODE_l2))
% 6.01/6.15 (iext uri_rdf_first BNODE_l2 BNODE_v))
% 6.01/6.15 (iext uri_rdf_rest BNODE_l2 uri_rdf_nil))
% 6.01/6.15 (iext uri_owl_inverseOf BNODE_v uri_ex_p))
% 6.01/6.15 True
% 6.01/6.15 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota),
% 6.01/6.15 Eq
% 6.01/6.15 (Exists fun BNODE_v =>
% 6.01/6.15 And
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a))
% 6.01/6.15 (iext uri_rdf_first (skS.0 8 a) uri_ex_p))
% 6.01/6.15 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1)))
% 6.01/6.15 (iext uri_rdf_first (skS.0 9 a a_1) BNODE_v))
% 6.01/6.15 (iext uri_rdf_rest (skS.0 9 a a_1) uri_rdf_nil))
% 6.01/6.15 (iext uri_owl_inverseOf BNODE_v uri_ex_p))
% 6.01/6.15 True
% 6.01/6.15 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota),
% 6.01/6.15 Eq
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p))
% 6.01/6.15 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1)))
% 6.01/6.15 (iext uri_rdf_first (skS.0 9 a a_1) (skS.0 10 a a_1 a_2)))
% 6.01/6.15 (iext uri_rdf_rest (skS.0 9 a a_1) uri_rdf_nil))
% 6.01/6.15 (iext uri_owl_inverseOf (skS.0 10 a a_1 a_2) uri_ex_p))
% 6.01/6.15 True
% 6.01/6.15 Clause #82 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_owl_inverseOf (skS.0 10 a a_1 a_2) uri_ex_p) True
% 6.01/6.15 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota),
% 6.01/6.15 Eq
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And
% 6.01/6.15 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p))
% 6.01/6.15 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1)))
% 6.01/6.15 (iext uri_rdf_first (skS.0 9 a a_1) (skS.0 10 a a_1 a_2)))
% 6.01/6.15 (iext uri_rdf_rest (skS.0 9 a a_1) uri_rdf_nil))
% 6.01/6.17 True
% 6.01/6.17 Clause #84 (by clausification #[70]): ∀ (a a_1 : Iota),
% 6.01/6.17 Or (Eq (iext uri_owl_inverseOf a a_1) False) (Eq (∀ (X Y : Iota), Iff (iext a X Y) (iext a_1 Y X)) True)
% 6.01/6.17 Clause #85 (by clausification #[70]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_inverseOf a a_1) False) (Eq (And (ip a) (ip a_1)) True)
% 6.01/6.17 Clause #86 (by clausification #[84]): ∀ (a a_1 a_2 : Iota),
% 6.01/6.17 Or (Eq (iext uri_owl_inverseOf a a_1) False) (Eq (∀ (Y : Iota), Iff (iext a a_2 Y) (iext a_1 Y a_2)) True)
% 6.01/6.17 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.01/6.17 Or (Eq (iext uri_owl_inverseOf a a_1) False) (Eq (Iff (iext a a_2 a_3) (iext a_1 a_3 a_2)) True)
% 6.01/6.17 Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 a_3 : Iota),
% 6.01/6.17 Or (Eq (iext uri_owl_inverseOf a a_1) False) (Or (Eq (iext a a_2 a_3) True) (Eq (iext a_1 a_3 a_2) False))
% 6.01/6.17 Clause #90 (by superposition #[88, 82]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.01/6.17 Or (Eq (iext (skS.0 10 a a_1 a_2) a_3 a_4) True) (Or (Eq (iext uri_ex_p a_4 a_3) False) (Eq False True))
% 6.01/6.17 Clause #91 (by clausification #[85]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_inverseOf a a_1) False) (Eq (ip a_1) True)
% 6.01/6.17 Clause #93 (by superposition #[91, 82]): Or (Eq (ip uri_ex_p) True) (Eq False True)
% 6.01/6.17 Clause #94 (by clausification #[93]): Eq (ip uri_ex_p) True
% 6.01/6.17 Clause #95 (by superposition #[94, 57]): ∀ (a a_1 a_2 : Iota),
% 6.01/6.17 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.01/6.17 (Or (Eq True False) (Eq (iext uri_ex_p (skS.0 4 uri_ex_p a a_1) (skS.0 5 uri_ex_p a a_1 a_2)) True))
% 6.01/6.17 Clause #101 (by clausification #[28]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.01/6.17 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 6.01/6.17 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 6.01/6.17 (Or
% 6.01/6.17 (Eq
% 6.01/6.17 (And (And (And (ip a_1) (ip a_3)) (ip a_4))
% 6.01/6.17 (∀ (Y0 Y1 Y2 : Iota), And (iext a_3 Y0 Y1) (iext a_4 Y1 Y2) → iext a_1 Y0 Y2))
% 6.01/6.17 True)
% 6.01/6.17 (Or (Eq (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a)) False)
% 6.01/6.17 (Eq (iext uri_rdf_first a a_4) False))))
% 6.01/6.17 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.01/6.17 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 6.01/6.17 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 6.01/6.17 (Or (Eq (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a)) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a a_4) False)
% 6.01/6.17 (Eq (∀ (Y0 Y1 Y2 : Iota), And (iext a_3 Y0 Y1) (iext a_4 Y1 Y2) → iext a_1 Y0 Y2) True))))
% 6.01/6.17 Clause #104 (by clausification #[102]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 6.01/6.17 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 6.01/6.17 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a a_3) False)
% 6.01/6.17 (Or (Eq (∀ (Y0 Y1 Y2 : Iota), And (iext a_4 Y0 Y1) (iext a_3 Y1 Y2) → iext a_1 Y0 Y2) True)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a_2 a_4) False) (Eq (iext uri_rdf_rest a_2 a) False)))))
% 6.01/6.17 Clause #105 (by clausification #[104]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.01/6.17 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 6.01/6.17 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a a_3) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 6.01/6.17 (Eq (∀ (Y1 Y2 : Iota), And (iext a_4 a_5 Y1) (iext a_3 Y1 Y2) → iext a_1 a_5 Y2) True)))))
% 6.01/6.17 Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 6.01/6.17 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 6.01/6.17 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a a_3) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 6.01/6.17 (Eq (∀ (Y2 : Iota), And (iext a_4 a_5 a_6) (iext a_3 a_6 Y2) → iext a_1 a_5 Y2) True)))))
% 6.01/6.17 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.01/6.17 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 6.01/6.17 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a a_3) False)
% 6.01/6.17 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 6.05/6.19 (Eq (And (iext a_4 a_5 a_6) (iext a_3 a_6 a_7) → iext a_1 a_5 a_7) True)))))
% 6.05/6.19 Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.05/6.19 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 6.05/6.19 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_first a a_3) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 6.05/6.19 (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))))))
% 6.05/6.19 Clause #109 (by clausification #[108]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.05/6.19 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False)
% 6.05/6.19 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_first a a_3) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_first a_2 a_4) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_rest a_2 a) False)
% 6.05/6.19 (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)))))))
% 6.05/6.19 Clause #111 (by clausification #[90]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (iext (skS.0 10 a a_1 a_2) a_3 a_4) True) (Eq (iext uri_ex_p a_4 a_3) False)
% 6.05/6.19 Clause #113 (by clausification #[56]): ∀ (a a_1 a_2 : Iota),
% 6.05/6.19 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True)
% 6.05/6.19 (Or (Eq (ip a) False) (Ne (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)))
% 6.05/6.19 Clause #114 (by superposition #[113, 94]): ∀ (a a_1 : Iota),
% 6.05/6.19 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.19 (Or (Ne (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)) (Eq False True))
% 6.05/6.19 Clause #116 (by clausification #[114]): ∀ (a a_1 : Iota),
% 6.05/6.19 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) (Ne (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1))
% 6.05/6.19 Clause #117 (by superposition #[58, 94]): ∀ (a a_1 a_2 : Iota),
% 6.05/6.19 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.19 (Or (Eq True False) (Eq (iext uri_ex_p (skS.0 3 uri_ex_p a) (skS.0 5 uri_ex_p a a_1 a_2)) True))
% 6.05/6.19 Clause #119 (by clausification #[117]): ∀ (a a_1 a_2 : Iota),
% 6.05/6.19 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.19 (Eq (iext uri_ex_p (skS.0 3 uri_ex_p a) (skS.0 5 uri_ex_p a a_1 a_2)) True)
% 6.05/6.19 Clause #121 (by clausification #[95]): ∀ (a a_1 a_2 : Iota),
% 6.05/6.19 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.19 (Eq (iext uri_ex_p (skS.0 4 uri_ex_p a a_1) (skS.0 5 uri_ex_p a a_1 a_2)) True)
% 6.05/6.19 Clause #122 (by superposition #[121, 111]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.05/6.19 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.19 (Or (Eq (iext (skS.0 10 a a_1 a_2) (skS.0 5 uri_ex_p a_3 a_4 a_5) (skS.0 4 uri_ex_p a_3 a_4)) True) (Eq True False))
% 6.05/6.19 Clause #129 (by clausification #[122]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.05/6.19 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.19 (Eq (iext (skS.0 10 a a_1 a_2) (skS.0 5 uri_ex_p a_3 a_4 a_5) (skS.0 4 uri_ex_p a_3 a_4)) True)
% 6.05/6.19 Clause #146 (by clausification #[83]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_rest (skS.0 9 a a_1) uri_rdf_nil) True
% 6.05/6.19 Clause #147 (by clausification #[83]): ∀ (a a_1 a_2 : Iota),
% 6.05/6.19 Eq
% 6.05/6.19 (And
% 6.05/6.19 (And (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p))
% 6.05/6.19 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1)))
% 6.05/6.19 (iext uri_rdf_first (skS.0 9 a a_1) (skS.0 10 a a_1 a_2)))
% 6.05/6.19 True
% 6.05/6.19 Clause #149 (by superposition #[146, 109]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 6.05/6.19 Or (Eq True False)
% 6.05/6.19 (Or (Eq (iext uri_owl_propertyChainAxiom a a_1) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_first (skS.0 9 a_2 a_3) a_4) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_first a_1 a_5) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 9 a_2 a_3)) False)
% 6.05/6.19 (Or (Eq (iext a a_6 a_7) True) (Or (Eq (iext a_5 a_6 a_8) False) (Eq (iext a_4 a_8 a_7) False)))))))
% 6.05/6.19 Clause #158 (by clausification #[149]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota),
% 6.05/6.19 Or (Eq (iext uri_owl_propertyChainAxiom a a_1) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_first (skS.0 9 a_2 a_3) a_4) False)
% 6.05/6.19 (Or (Eq (iext uri_rdf_first a_1 a_5) False)
% 6.05/6.21 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 9 a_2 a_3)) False)
% 6.05/6.21 (Or (Eq (iext a a_6 a_7) True) (Or (Eq (iext a_5 a_6 a_8) False) (Eq (iext a_4 a_8 a_7) False))))))
% 6.05/6.21 Clause #159 (by clausification #[147]): ∀ (a a_1 a_2 : Iota), Eq (iext uri_rdf_first (skS.0 9 a a_1) (skS.0 10 a a_1 a_2)) True
% 6.05/6.21 Clause #160 (by clausification #[147]): ∀ (a a_1 : Iota),
% 6.05/6.21 Eq
% 6.05/6.21 (And (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p))
% 6.05/6.21 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1)))
% 6.05/6.21 True
% 6.05/6.21 Clause #163 (by clausification #[160]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1)) True
% 6.05/6.21 Clause #164 (by clausification #[160]): ∀ (a : Iota),
% 6.05/6.21 Eq (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p)) True
% 6.05/6.21 Clause #165 (by clausification #[164]): ∀ (a : Iota), Eq (iext uri_rdf_first (skS.0 8 a) uri_ex_p) True
% 6.05/6.21 Clause #166 (by clausification #[164]): ∀ (a : Iota), Eq (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) True
% 6.05/6.21 Clause #170 (by superposition #[166, 158]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.05/6.21 Or (Eq True False)
% 6.05/6.21 (Or (Eq (iext uri_rdf_first (skS.0 9 a a_1) a_2) False)
% 6.05/6.21 (Or (Eq (iext uri_rdf_first (skS.0 8 a_3) a_4) False)
% 6.05/6.21 (Or (Eq (iext uri_rdf_rest (skS.0 8 a_3) (skS.0 9 a a_1)) False)
% 6.05/6.21 (Or (Eq (iext uri_owl_sameAs a_5 a_6) True)
% 6.05/6.21 (Or (Eq (iext a_4 a_5 a_7) False) (Eq (iext a_2 a_7 a_6) False))))))
% 6.05/6.21 Clause #242 (by clausification #[170]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.05/6.21 Or (Eq (iext uri_rdf_first (skS.0 9 a a_1) a_2) False)
% 6.05/6.21 (Or (Eq (iext uri_rdf_first (skS.0 8 a_3) a_4) False)
% 6.05/6.21 (Or (Eq (iext uri_rdf_rest (skS.0 8 a_3) (skS.0 9 a a_1)) False)
% 6.05/6.21 (Or (Eq (iext uri_owl_sameAs a_5 a_6) True) (Or (Eq (iext a_4 a_5 a_7) False) (Eq (iext a_2 a_7 a_6) False)))))
% 6.05/6.21 Clause #243 (by superposition #[242, 159]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.05/6.21 Or (Eq (iext uri_rdf_first (skS.0 8 a) a_1) False)
% 6.05/6.21 (Or (Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a_2 a_3)) False)
% 6.05/6.21 (Or (Eq (iext uri_owl_sameAs a_4 a_5) True)
% 6.05/6.21 (Or (Eq (iext a_1 a_4 a_6) False) (Or (Eq (iext (skS.0 10 a_2 a_3 a_7) a_6 a_5) False) (Eq False True)))))
% 6.05/6.21 Clause #244 (by clausification #[243]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota),
% 6.05/6.21 Or (Eq (iext uri_rdf_first (skS.0 8 a) a_1) False)
% 6.05/6.21 (Or (Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a_2 a_3)) False)
% 6.05/6.21 (Or (Eq (iext uri_owl_sameAs a_4 a_5) True)
% 6.05/6.21 (Or (Eq (iext a_1 a_4 a_6) False) (Eq (iext (skS.0 10 a_2 a_3 a_7) a_6 a_5) False))))
% 6.05/6.21 Clause #245 (by superposition #[244, 165]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 6.05/6.21 Or (Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a_1 a_2)) False)
% 6.05/6.21 (Or (Eq (iext uri_owl_sameAs a_3 a_4) True)
% 6.05/6.21 (Or (Eq (iext uri_ex_p a_3 a_5) False) (Or (Eq (iext (skS.0 10 a_1 a_2 a_6) a_5 a_4) False) (Eq False True))))
% 6.05/6.21 Clause #246 (by clausification #[245]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 6.05/6.21 Or (Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a_1 a_2)) False)
% 6.05/6.21 (Or (Eq (iext uri_owl_sameAs a_3 a_4) True)
% 6.05/6.21 (Or (Eq (iext uri_ex_p a_3 a_5) False) (Eq (iext (skS.0 10 a_1 a_2 a_6) a_5 a_4) False)))
% 6.05/6.21 Clause #247 (by superposition #[246, 163]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.05/6.21 Or (Eq (iext uri_owl_sameAs a a_1) True)
% 6.05/6.21 (Or (Eq (iext uri_ex_p a a_2) False) (Or (Eq (iext (skS.0 10 a_3 a_4 a_5) a_2 a_1) False) (Eq False True)))
% 6.05/6.21 Clause #250 (by clausification #[247]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota),
% 6.05/6.21 Or (Eq (iext uri_owl_sameAs a a_1) True)
% 6.05/6.21 (Or (Eq (iext uri_ex_p a a_2) False) (Eq (iext (skS.0 10 a_3 a_4 a_5) a_2 a_1) False))
% 6.05/6.21 Clause #251 (by superposition #[250, 119]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 6.05/6.21 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) a_1) True)
% 6.05/6.21 (Or (Eq (iext (skS.0 10 a_2 a_3 a_4) (skS.0 5 uri_ex_p a a_5 a_6) a_1) False)
% 6.05/6.21 (Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) (Eq False True)))
% 6.05/6.21 Clause #255 (by clausification #[251]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota),
% 6.05/6.21 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) a_1) True)
% 6.05/6.22 (Or (Eq (iext (skS.0 10 a_2 a_3 a_4) (skS.0 5 uri_ex_p a a_5 a_6) a_1) False)
% 6.05/6.22 (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True))
% 6.05/6.22 Clause #257 (by superposition #[255, 129]): ∀ (a a_1 : Iota),
% 6.05/6.22 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)) True)
% 6.05/6.22 (Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.22 (Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) (Eq False True)))
% 6.05/6.22 Clause #260 (by clausification #[257]): ∀ (a a_1 : Iota),
% 6.05/6.22 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)) True)
% 6.05/6.22 (Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.22 (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True))
% 6.05/6.22 Clause #261 (by eliminate duplicate literals #[260]): ∀ (a a_1 : Iota),
% 6.05/6.22 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)) True)
% 6.05/6.22 (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.22 Clause #262 (by superposition #[261, 18]): ∀ (a a_1 : Iota),
% 6.05/6.22 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)
% 6.05/6.22 (Or (Eq True False) (Eq (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)))
% 6.05/6.22 Clause #264 (by clausification #[262]): ∀ (a a_1 : Iota),
% 6.05/6.22 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) (Eq (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1))
% 6.05/6.22 Clause #265 (by forward contextual literal cutting #[264, 116]): Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True
% 6.05/6.22 Clause #275 (by superposition #[265, 10]): Or (Eq (iext uri_rdf_type uri_ex_p uri_owl_InverseFunctionalProperty) True) (Eq True False)
% 6.05/6.22 Clause #278 (by clausification #[275]): Eq (iext uri_rdf_type uri_ex_p uri_owl_InverseFunctionalProperty) True
% 6.05/6.22 Clause #279 (by superposition #[278, 7]): Eq True False
% 6.05/6.22 Clause #281 (by clausification #[279]): False
% 6.05/6.22 SZS output end Proof for theBenchmark.p
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