%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB027+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 : Fri Oct 3 08:03:28 PM UTC 2025 % Result : Theorem 6.40s 6.59s % Output : Proof 6.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWB027+2 : TPTP v9.2.0. Released v5.2.0. % 0.10/0.13 % Command : duper %s % 0.13/0.34 % Computer : n027.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 : Thu Oct 2 11:45:08 EDT 2025 % 0.13/0.34 % CPUTime : % 6.40/6.59 SZS status Theorem for theBenchmark.p % 6.40/6.59 SZS output start Proof for theBenchmark.p % 6.40/6.59 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 6.40/6.59 Clause #1 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (iext uri_owl_sameAs X Y) (Eq X Y)) True % 6.40/6.59 Clause #2 (by assumption #[]): Eq % 6.40/6.59 (∀ (P S1 P1 S2 P2 : Iota), % 6.40/6.59 And (And (And (iext uri_rdf_first S1 P1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 P2)) % 6.40/6.59 (iext uri_rdf_rest S2 uri_rdf_nil) → % 6.40/6.59 Iff (iext uri_owl_propertyChainAxiom P S1) % 6.40/6.59 (And (And (And (ip P) (ip P1)) (ip P2)) % 6.40/6.59 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext P Y0 Y2))) % 6.40/6.59 True % 6.40/6.59 Clause #3 (by assumption #[]): Eq % 6.40/6.59 (∀ (P : Iota), % 6.40/6.59 Iff (icext uri_owl_InverseFunctionalProperty P) % 6.40/6.59 (And (ip P) (∀ (X1 X2 Y : Iota), And (iext P X1 Y) (iext P X2 Y) → Eq X1 X2))) % 6.40/6.59 True % 6.40/6.59 Clause #4 (by assumption #[]): Eq % 6.40/6.59 (∀ (P1 P2 : Iota), % 6.40/6.59 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)))) % 6.40/6.59 True % 6.40/6.59 Clause #5 (by assumption #[]): Eq (Not (iext uri_rdf_type uri_ex_p uri_owl_InverseFunctionalProperty)) True % 6.40/6.59 Clause #6 (by assumption #[]): Eq % 6.40/6.59 (Exists fun BNODE_l1 => % 6.40/6.59 Exists fun BNODE_l2 => % 6.40/6.59 Exists fun BNODE_v => % 6.40/6.59 And % 6.40/6.59 (And % 6.40/6.59 (And % 6.40/6.59 (And % 6.40/6.59 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs BNODE_l1) (iext uri_rdf_first BNODE_l1 uri_ex_p)) % 6.40/6.59 (iext uri_rdf_rest BNODE_l1 BNODE_l2)) % 6.40/6.59 (iext uri_rdf_first BNODE_l2 BNODE_v)) % 6.40/6.59 (iext uri_rdf_rest BNODE_l2 uri_rdf_nil)) % 6.40/6.59 (iext uri_owl_inverseOf BNODE_v uri_ex_p)) % 6.40/6.59 True % 6.40/6.59 Clause #7 (by clausification #[5]): Eq (iext uri_rdf_type uri_ex_p uri_owl_InverseFunctionalProperty) False % 6.40/6.59 Clause #8 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 6.40/6.59 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 6.40/6.59 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) % 6.40/6.59 Clause #12 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (iext uri_owl_sameAs a Y) (Eq a Y)) True % 6.40/6.59 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_owl_sameAs a a_1) (Eq a a_1)) True % 6.40/6.59 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) % 6.40/6.59 Clause #18 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq a a_1) % 6.40/6.59 Clause #20 (by clausification #[2]): ∀ (a : Iota), % 6.40/6.59 Eq % 6.40/6.59 (∀ (S1 P1 S2 P2 : Iota), % 6.40/6.59 And (And (And (iext uri_rdf_first S1 P1) (iext uri_rdf_rest S1 S2)) (iext uri_rdf_first S2 P2)) % 6.40/6.59 (iext uri_rdf_rest S2 uri_rdf_nil) → % 6.40/6.59 Iff (iext uri_owl_propertyChainAxiom a S1) % 6.40/6.59 (And (And (And (ip a) (ip P1)) (ip P2)) % 6.40/6.59 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext a Y0 Y2))) % 6.40/6.59 True % 6.40/6.59 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), % 6.40/6.59 Eq % 6.40/6.59 (∀ (P1 S2 P2 : Iota), % 6.40/6.59 And (And (And (iext uri_rdf_first a P1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 P2)) % 6.40/6.59 (iext uri_rdf_rest S2 uri_rdf_nil) → % 6.40/6.59 Iff (iext uri_owl_propertyChainAxiom a_1 a) % 6.40/6.59 (And (And (And (ip a_1) (ip P1)) (ip P2)) % 6.40/6.59 (∀ (Y0 Y1 Y2 : Iota), And (iext P1 Y0 Y1) (iext P2 Y1 Y2) → iext a_1 Y0 Y2))) % 6.40/6.59 True % 6.40/6.59 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 : Iota), % 6.40/6.59 Eq % 6.40/6.59 (∀ (S2 P2 : Iota), % 6.40/6.59 And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a S2)) (iext uri_rdf_first S2 P2)) % 6.40/6.59 (iext uri_rdf_rest S2 uri_rdf_nil) → % 6.40/6.59 Iff (iext uri_owl_propertyChainAxiom a_2 a) % 6.40/6.59 (And (And (And (ip a_2) (ip a_1)) (ip P2)) % 6.40/6.59 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext P2 Y1 Y2) → iext a_2 Y0 Y2))) % 6.40/6.59 True % 6.40/6.59 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 a_3 : Iota), % 6.40/6.59 Eq % 6.40/6.59 (∀ (P2 : Iota), % 6.40/6.59 And (And (And (iext uri_rdf_first a a_1) (iext uri_rdf_rest a a_2)) (iext uri_rdf_first a_2 P2)) % 6.42/6.61 (iext uri_rdf_rest a_2 uri_rdf_nil) → % 6.42/6.61 Iff (iext uri_owl_propertyChainAxiom a_3 a) % 6.42/6.61 (And (And (And (ip a_3) (ip a_1)) (ip P2)) % 6.42/6.61 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext P2 Y1 Y2) → iext a_3 Y0 Y2))) % 6.42/6.61 True % 6.42/6.61 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.42/6.61 Eq % 6.42/6.61 (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)) % 6.42/6.61 (iext uri_rdf_rest a_2 uri_rdf_nil) → % 6.42/6.61 Iff (iext uri_owl_propertyChainAxiom a_4 a) % 6.42/6.61 (And (And (And (ip a_4) (ip a_1)) (ip a_3)) % 6.42/6.61 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2))) % 6.42/6.61 True % 6.42/6.61 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.42/6.61 Or % 6.42/6.61 (Eq % 6.42/6.61 (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)) % 6.42/6.61 (iext uri_rdf_rest a_2 uri_rdf_nil)) % 6.42/6.61 False) % 6.42/6.61 (Eq % 6.42/6.61 (Iff (iext uri_owl_propertyChainAxiom a_4 a) % 6.42/6.61 (And (And (And (ip a_4) (ip a_1)) (ip a_3)) % 6.42/6.61 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2))) % 6.42/6.61 True) % 6.42/6.61 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.42/6.61 Or % 6.42/6.61 (Eq % 6.42/6.61 (Iff (iext uri_owl_propertyChainAxiom a a_1) % 6.42/6.61 (And (And (And (ip a) (ip a_2)) (ip a_3)) % 6.42/6.61 (∀ (Y0 Y1 Y2 : Iota), And (iext a_2 Y0 Y1) (iext a_3 Y1 Y2) → iext a Y0 Y2))) % 6.42/6.61 True) % 6.42/6.61 (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) % 6.42/6.61 (Eq (iext uri_rdf_rest a_4 uri_rdf_nil) False)) % 6.42/6.61 Clause #28 (by clausification #[26]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.42/6.61 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) % 6.42/6.61 (Or (Eq (iext uri_rdf_rest a_2 uri_rdf_nil) False) % 6.42/6.61 (Or (Eq (iext uri_owl_propertyChainAxiom a_4 a) False) % 6.42/6.61 (Eq % 6.42/6.61 (And (And (And (ip a_4) (ip a_1)) (ip a_3)) % 6.42/6.61 (∀ (Y0 Y1 Y2 : Iota), And (iext a_1 Y0 Y1) (iext a_3 Y1 Y2) → iext a_4 Y0 Y2)) % 6.42/6.61 True))) % 6.42/6.61 Clause #45 (by clausification #[3]): ∀ (a : Iota), % 6.42/6.61 Eq % 6.42/6.61 (Iff (icext uri_owl_InverseFunctionalProperty a) % 6.42/6.61 (And (ip a) (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2))) % 6.42/6.61 True % 6.42/6.61 Clause #46 (by clausification #[45]): ∀ (a : Iota), % 6.42/6.61 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.42/6.61 (Eq (And (ip a) (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2)) False) % 6.42/6.61 Clause #48 (by clausification #[46]): ∀ (a : Iota), % 6.42/6.61 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.42/6.61 (Or (Eq (ip a) False) (Eq (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2) False)) % 6.42/6.61 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), % 6.42/6.61 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.42/6.61 (Or (Eq (ip a) False) % 6.42/6.61 (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)) % 6.42/6.61 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), % 6.42/6.61 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.42/6.61 (Or (Eq (ip a) False) % 6.42/6.61 (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)) % 6.42/6.61 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota), % 6.42/6.61 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.42/6.61 (Or (Eq (ip a) False) % 6.42/6.61 (Eq % 6.42/6.61 (Not % 6.42/6.61 (∀ (Y : Iota), % 6.42/6.61 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))) % 6.42/6.61 True)) % 6.42/6.61 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota), % 6.42/6.61 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.42/6.61 (Or (Eq (ip a) False) % 6.42/6.61 (Eq % 6.42/6.61 (∀ (Y : Iota), % 6.42/6.61 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)) % 6.42/6.61 False)) % 6.42/6.61 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 a_3 : Iota), % 6.42/6.61 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.42/6.61 (Or (Eq (ip a) False) % 6.42/6.61 (Eq % 6.44/6.63 (Not % 6.44/6.63 (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)) → % 6.44/6.63 Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))) % 6.44/6.63 True)) % 6.44/6.63 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 a_3 : Iota), % 6.44/6.63 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.44/6.63 (Or (Eq (ip a) False) % 6.44/6.63 (Eq % 6.44/6.63 (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)) → % 6.44/6.63 Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) % 6.44/6.63 False)) % 6.44/6.63 Clause #55 (by clausification #[54]): ∀ (a a_1 a_2 a_3 : Iota), % 6.44/6.63 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.44/6.63 (Or (Eq (ip a) False) % 6.44/6.63 (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))) % 6.44/6.63 True)) % 6.44/6.63 Clause #56 (by clausification #[54]): ∀ (a a_1 a_2 : Iota), % 6.44/6.63 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.44/6.63 (Or (Eq (ip a) False) (Eq (Eq (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) False)) % 6.44/6.63 Clause #57 (by clausification #[55]): ∀ (a a_1 a_2 a_3 : Iota), % 6.44/6.63 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.44/6.63 (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)) % 6.44/6.63 Clause #58 (by clausification #[55]): ∀ (a a_1 a_2 a_3 : Iota), % 6.44/6.63 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.44/6.63 (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)) % 6.44/6.63 Clause #67 (by clausification #[4]): ∀ (a : Iota), % 6.44/6.63 Eq % 6.44/6.63 (∀ (P2 : Iota), % 6.44/6.63 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)))) % 6.44/6.63 True % 6.44/6.63 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota), % 6.44/6.63 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)))) % 6.44/6.63 True % 6.44/6.63 Clause #70 (by clausification #[68]): ∀ (a a_1 : Iota), % 6.44/6.63 Or (Eq (iext uri_owl_inverseOf a a_1) False) % 6.44/6.63 (Eq (And (And (ip a) (ip a_1)) (∀ (X Y : Iota), Iff (iext a X Y) (iext a_1 Y X))) True) % 6.44/6.63 Clause #79 (by clausification #[6]): ∀ (a : Iota), % 6.44/6.63 Eq % 6.44/6.63 (Exists fun BNODE_l2 => % 6.44/6.63 Exists fun BNODE_v => % 6.44/6.63 And % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) % 6.44/6.63 (iext uri_rdf_first (skS.0 8 a) uri_ex_p)) % 6.44/6.63 (iext uri_rdf_rest (skS.0 8 a) BNODE_l2)) % 6.44/6.63 (iext uri_rdf_first BNODE_l2 BNODE_v)) % 6.44/6.63 (iext uri_rdf_rest BNODE_l2 uri_rdf_nil)) % 6.44/6.63 (iext uri_owl_inverseOf BNODE_v uri_ex_p)) % 6.44/6.63 True % 6.44/6.63 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), % 6.44/6.63 Eq % 6.44/6.63 (Exists fun BNODE_v => % 6.44/6.63 And % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) % 6.44/6.63 (iext uri_rdf_first (skS.0 8 a) uri_ex_p)) % 6.44/6.63 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1))) % 6.44/6.63 (iext uri_rdf_first (skS.0 9 a a_1) BNODE_v)) % 6.44/6.63 (iext uri_rdf_rest (skS.0 9 a a_1) uri_rdf_nil)) % 6.44/6.63 (iext uri_owl_inverseOf BNODE_v uri_ex_p)) % 6.44/6.63 True % 6.44/6.63 Clause #81 (by clausification #[80]): ∀ (a a_1 a_2 : Iota), % 6.44/6.63 Eq % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p)) % 6.44/6.63 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1))) % 6.44/6.63 (iext uri_rdf_first (skS.0 9 a a_1) (skS.0 10 a a_1 a_2))) % 6.44/6.63 (iext uri_rdf_rest (skS.0 9 a a_1) uri_rdf_nil)) % 6.44/6.63 (iext uri_owl_inverseOf (skS.0 10 a a_1 a_2) uri_ex_p)) % 6.44/6.63 True % 6.44/6.63 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 % 6.44/6.63 Clause #83 (by clausification #[81]): ∀ (a a_1 a_2 : Iota), % 6.44/6.63 Eq % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And % 6.44/6.63 (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p)) % 6.44/6.63 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1))) % 6.44/6.63 (iext uri_rdf_first (skS.0 9 a a_1) (skS.0 10 a a_1 a_2))) % 6.44/6.63 (iext uri_rdf_rest (skS.0 9 a a_1) uri_rdf_nil)) % 6.44/6.66 True % 6.44/6.66 Clause #84 (by clausification #[70]): ∀ (a a_1 : Iota), % 6.44/6.66 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) % 6.44/6.66 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) % 6.44/6.66 Clause #86 (by clausification #[84]): ∀ (a a_1 a_2 : Iota), % 6.44/6.66 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) % 6.44/6.66 Clause #87 (by clausification #[86]): ∀ (a a_1 a_2 a_3 : Iota), % 6.44/6.66 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) % 6.44/6.66 Clause #88 (by clausification #[87]): ∀ (a a_1 a_2 a_3 : Iota), % 6.44/6.66 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)) % 6.44/6.66 Clause #90 (by superposition #[88, 82]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.44/6.66 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)) % 6.44/6.66 Clause #91 (by clausification #[85]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_inverseOf a a_1) False) (Eq (ip a_1) True) % 6.44/6.66 Clause #93 (by superposition #[91, 82]): Or (Eq (ip uri_ex_p) True) (Eq False True) % 6.44/6.66 Clause #94 (by clausification #[93]): Eq (ip uri_ex_p) True % 6.44/6.66 Clause #95 (by superposition #[94, 57]): ∀ (a a_1 a_2 : Iota), % 6.44/6.66 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.66 (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)) % 6.44/6.66 Clause #101 (by clausification #[28]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.44/6.66 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.44/6.66 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False) % 6.44/6.66 (Or % 6.44/6.66 (Eq % 6.44/6.66 (And (And (And (ip a_1) (ip a_3)) (ip a_4)) % 6.44/6.66 (∀ (Y0 Y1 Y2 : Iota), And (iext a_3 Y0 Y1) (iext a_4 Y1 Y2) → iext a_1 Y0 Y2)) % 6.44/6.66 True) % 6.44/6.66 (Or (Eq (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a)) False) % 6.44/6.66 (Eq (iext uri_rdf_first a a_4) False)))) % 6.44/6.66 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.44/6.66 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.44/6.66 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False) % 6.44/6.66 (Or (Eq (And (iext uri_rdf_first a_2 a_3) (iext uri_rdf_rest a_2 a)) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a a_4) False) % 6.44/6.66 (Eq (∀ (Y0 Y1 Y2 : Iota), And (iext a_3 Y0 Y1) (iext a_4 Y1 Y2) → iext a_1 Y0 Y2) True)))) % 6.44/6.66 Clause #104 (by clausification #[102]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 6.44/6.66 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.44/6.66 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.44/6.66 (Or (Eq (∀ (Y0 Y1 Y2 : Iota), And (iext a_4 Y0 Y1) (iext a_3 Y1 Y2) → iext a_1 Y0 Y2) True) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a_2 a_4) False) (Eq (iext uri_rdf_rest a_2 a) False))))) % 6.44/6.66 Clause #105 (by clausification #[104]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.44/6.66 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.44/6.66 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a_2 a_4) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_rest a_2 a) False) % 6.44/6.66 (Eq (∀ (Y1 Y2 : Iota), And (iext a_4 a_5 Y1) (iext a_3 Y1 Y2) → iext a_1 a_5 Y2) True))))) % 6.44/6.66 Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.44/6.66 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.44/6.66 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a_2 a_4) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_rest a_2 a) False) % 6.44/6.66 (Eq (∀ (Y2 : Iota), And (iext a_4 a_5 a_6) (iext a_3 a_6 Y2) → iext a_1 a_5 Y2) True))))) % 6.44/6.66 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.44/6.66 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.44/6.66 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.44/6.66 (Or (Eq (iext uri_rdf_first a_2 a_4) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_rest a_2 a) False) % 6.44/6.68 (Eq (And (iext a_4 a_5 a_6) (iext a_3 a_6 a_7) → iext a_1 a_5 a_7) True))))) % 6.44/6.68 Clause #108 (by clausification #[107]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.44/6.68 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.44/6.68 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_first a_2 a_4) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_rest a_2 a) False) % 6.44/6.68 (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)))))) % 6.44/6.68 Clause #109 (by clausification #[108]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.44/6.68 Or (Eq (iext uri_rdf_rest a uri_rdf_nil) False) % 6.44/6.68 (Or (Eq (iext uri_owl_propertyChainAxiom a_1 a_2) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_first a a_3) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_first a_2 a_4) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_rest a_2 a) False) % 6.44/6.68 (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))))))) % 6.44/6.68 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) % 6.44/6.68 Clause #113 (by clausification #[56]): ∀ (a a_1 a_2 : Iota), % 6.44/6.68 Or (Eq (icext uri_owl_InverseFunctionalProperty a) True) % 6.44/6.68 (Or (Eq (ip a) False) (Ne (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))) % 6.44/6.68 Clause #114 (by superposition #[113, 94]): ∀ (a a_1 : Iota), % 6.44/6.68 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.68 (Or (Ne (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)) (Eq False True)) % 6.44/6.68 Clause #116 (by clausification #[114]): ∀ (a a_1 : Iota), % 6.44/6.68 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)) % 6.44/6.68 Clause #117 (by superposition #[58, 94]): ∀ (a a_1 a_2 : Iota), % 6.44/6.68 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.68 (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)) % 6.44/6.68 Clause #119 (by clausification #[117]): ∀ (a a_1 a_2 : Iota), % 6.44/6.68 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.68 (Eq (iext uri_ex_p (skS.0 3 uri_ex_p a) (skS.0 5 uri_ex_p a a_1 a_2)) True) % 6.44/6.68 Clause #121 (by clausification #[95]): ∀ (a a_1 a_2 : Iota), % 6.44/6.68 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.68 (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) % 6.44/6.68 Clause #122 (by superposition #[121, 111]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.44/6.68 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.68 (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)) % 6.44/6.68 Clause #129 (by clausification #[122]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.44/6.68 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.68 (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) % 6.44/6.68 Clause #146 (by clausification #[83]): ∀ (a a_1 : Iota), Eq (iext uri_rdf_rest (skS.0 9 a a_1) uri_rdf_nil) True % 6.44/6.68 Clause #147 (by clausification #[83]): ∀ (a a_1 a_2 : Iota), % 6.44/6.68 Eq % 6.44/6.68 (And % 6.44/6.68 (And (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p)) % 6.44/6.68 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1))) % 6.44/6.68 (iext uri_rdf_first (skS.0 9 a a_1) (skS.0 10 a a_1 a_2))) % 6.44/6.68 True % 6.44/6.68 Clause #149 (by superposition #[146, 109]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 6.44/6.68 Or (Eq True False) % 6.44/6.68 (Or (Eq (iext uri_owl_propertyChainAxiom a a_1) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_first (skS.0 9 a_2 a_3) a_4) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_first a_1 a_5) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 9 a_2 a_3)) False) % 6.44/6.68 (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))))))) % 6.44/6.68 Clause #158 (by clausification #[149]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 a_8 : Iota), % 6.44/6.68 Or (Eq (iext uri_owl_propertyChainAxiom a a_1) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_first (skS.0 9 a_2 a_3) a_4) False) % 6.44/6.68 (Or (Eq (iext uri_rdf_first a_1 a_5) False) % 6.44/6.70 (Or (Eq (iext uri_rdf_rest a_1 (skS.0 9 a_2 a_3)) False) % 6.44/6.70 (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)))))) % 6.44/6.70 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 % 6.44/6.70 Clause #160 (by clausification #[147]): ∀ (a a_1 : Iota), % 6.44/6.70 Eq % 6.44/6.70 (And (And (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) (iext uri_rdf_first (skS.0 8 a) uri_ex_p)) % 6.44/6.70 (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a a_1))) % 6.44/6.70 True % 6.44/6.70 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 % 6.44/6.70 Clause #164 (by clausification #[160]): ∀ (a : Iota), % 6.44/6.70 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 % 6.44/6.70 Clause #165 (by clausification #[164]): ∀ (a : Iota), Eq (iext uri_rdf_first (skS.0 8 a) uri_ex_p) True % 6.44/6.70 Clause #166 (by clausification #[164]): ∀ (a : Iota), Eq (iext uri_owl_propertyChainAxiom uri_owl_sameAs (skS.0 8 a)) True % 6.44/6.70 Clause #170 (by superposition #[166, 158]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.44/6.70 Or (Eq True False) % 6.44/6.70 (Or (Eq (iext uri_rdf_first (skS.0 9 a a_1) a_2) False) % 6.44/6.70 (Or (Eq (iext uri_rdf_first (skS.0 8 a_3) a_4) False) % 6.44/6.70 (Or (Eq (iext uri_rdf_rest (skS.0 8 a_3) (skS.0 9 a a_1)) False) % 6.44/6.70 (Or (Eq (iext uri_owl_sameAs a_5 a_6) True) % 6.44/6.70 (Or (Eq (iext a_4 a_5 a_7) False) (Eq (iext a_2 a_7 a_6) False)))))) % 6.44/6.70 Clause #242 (by clausification #[170]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.44/6.70 Or (Eq (iext uri_rdf_first (skS.0 9 a a_1) a_2) False) % 6.44/6.70 (Or (Eq (iext uri_rdf_first (skS.0 8 a_3) a_4) False) % 6.44/6.70 (Or (Eq (iext uri_rdf_rest (skS.0 8 a_3) (skS.0 9 a a_1)) False) % 6.44/6.70 (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))))) % 6.44/6.70 Clause #243 (by superposition #[242, 159]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.44/6.70 Or (Eq (iext uri_rdf_first (skS.0 8 a) a_1) False) % 6.44/6.70 (Or (Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a_2 a_3)) False) % 6.44/6.70 (Or (Eq (iext uri_owl_sameAs a_4 a_5) True) % 6.44/6.70 (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))))) % 6.44/6.70 Clause #244 (by clausification #[243]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 a_7 : Iota), % 6.44/6.70 Or (Eq (iext uri_rdf_first (skS.0 8 a) a_1) False) % 6.44/6.70 (Or (Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a_2 a_3)) False) % 6.44/6.70 (Or (Eq (iext uri_owl_sameAs a_4 a_5) True) % 6.44/6.70 (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)))) % 6.44/6.70 Clause #245 (by superposition #[244, 165]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.44/6.70 Or (Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a_1 a_2)) False) % 6.44/6.70 (Or (Eq (iext uri_owl_sameAs a_3 a_4) True) % 6.44/6.70 (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)))) % 6.44/6.70 Clause #246 (by clausification #[245]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.44/6.70 Or (Eq (iext uri_rdf_rest (skS.0 8 a) (skS.0 9 a_1 a_2)) False) % 6.44/6.70 (Or (Eq (iext uri_owl_sameAs a_3 a_4) True) % 6.44/6.70 (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))) % 6.44/6.70 Clause #247 (by superposition #[246, 163]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.44/6.70 Or (Eq (iext uri_owl_sameAs a a_1) True) % 6.44/6.70 (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))) % 6.44/6.70 Clause #250 (by clausification #[247]): ∀ (a a_1 a_2 a_3 a_4 a_5 : Iota), % 6.44/6.70 Or (Eq (iext uri_owl_sameAs a a_1) True) % 6.44/6.70 (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)) % 6.44/6.70 Clause #251 (by superposition #[250, 119]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.44/6.70 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) a_1) True) % 6.44/6.70 (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) % 6.44/6.70 (Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) (Eq False True))) % 6.44/6.70 Clause #255 (by clausification #[251]): ∀ (a a_1 a_2 a_3 a_4 a_5 a_6 : Iota), % 6.44/6.70 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) a_1) True) % 6.44/6.71 (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) % 6.44/6.71 (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)) % 6.44/6.71 Clause #257 (by superposition #[255, 129]): ∀ (a a_1 : Iota), % 6.44/6.71 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)) True) % 6.44/6.71 (Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.71 (Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) (Eq False True))) % 6.44/6.71 Clause #260 (by clausification #[257]): ∀ (a a_1 : Iota), % 6.44/6.71 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)) True) % 6.44/6.71 (Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.71 (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True)) % 6.44/6.71 Clause #261 (by eliminate duplicate literals #[260]): ∀ (a a_1 : Iota), % 6.44/6.71 Or (Eq (iext uri_owl_sameAs (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1)) True) % 6.44/6.71 (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.71 Clause #262 (by superposition #[261, 18]): ∀ (a a_1 : Iota), % 6.44/6.71 Or (Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True) % 6.44/6.71 (Or (Eq True False) (Eq (skS.0 3 uri_ex_p a) (skS.0 4 uri_ex_p a a_1))) % 6.44/6.71 Clause #264 (by clausification #[262]): ∀ (a a_1 : Iota), % 6.44/6.71 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)) % 6.44/6.71 Clause #265 (by forward contextual literal cutting #[264, 116]): Eq (icext uri_owl_InverseFunctionalProperty uri_ex_p) True % 6.44/6.71 Clause #275 (by superposition #[265, 10]): Or (Eq (iext uri_rdf_type uri_ex_p uri_owl_InverseFunctionalProperty) True) (Eq True False) % 6.44/6.71 Clause #278 (by clausification #[275]): Eq (iext uri_rdf_type uri_ex_p uri_owl_InverseFunctionalProperty) True % 6.44/6.71 Clause #279 (by superposition #[278, 7]): Eq True False % 6.44/6.71 Clause #281 (by clausification #[279]): False % 6.44/6.71 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------