%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB016+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 08:03:25 PM UTC 2025 % Result : Theorem 17.89s 18.05s % Output : Proof 17.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWB016+2 : TPTP v9.2.0. Released v5.2.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n011.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 11:45:53 EDT 2025 % 0.14/0.34 % CPUTime : % 17.89/18.05 SZS status Theorem for theBenchmark.p % 17.89/18.05 SZS output start Proof for theBenchmark.p % 17.89/18.05 Clause #0 (by assumption #[]): Eq (∀ (P : Iota), Iff (iext uri_rdf_type P uri_rdf_Property) (ip P)) True % 17.89/18.05 Clause #1 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 17.89/18.05 Clause #2 (by assumption #[]): Eq (∀ (P C X Y : Iota), And (iext uri_rdfs_domain P C) (iext P X Y) → icext C X) True % 17.89/18.05 Clause #3 (by assumption #[]): Eq (iext uri_rdfs_domain uri_rdfs_domain uri_rdf_Property) True % 17.89/18.05 Clause #4 (by assumption #[]): Eq (iext uri_rdfs_domain uri_rdfs_subClassOf uri_rdfs_Class) True % 17.89/18.05 Clause #5 (by assumption #[]): Eq (ip uri_owl_equivalentClass) True % 17.89/18.05 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), iext uri_owl_equivalentClass X Y → And (ic X) (ic Y)) True % 17.89/18.05 Clause #7 (by assumption #[]): Eq % 17.89/18.05 (∀ (C1 C2 : Iota), % 17.89/18.05 Iff (iext uri_rdfs_subClassOf C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), icext C1 X → icext C2 X))) % 17.89/18.05 True % 17.89/18.05 Clause #8 (by assumption #[]): Eq % 17.89/18.05 (∀ (P1 P2 : Iota), % 17.89/18.05 Iff (iext uri_rdfs_subPropertyOf P1 P2) (And (And (ip P1) (ip P2)) (∀ (X Y : Iota), iext P1 X Y → iext P2 X Y))) % 17.89/18.05 True % 17.89/18.05 Clause #9 (by assumption #[]): Eq % 17.89/18.05 (∀ (C1 C2 : Iota), % 17.89/18.05 Iff (iext uri_owl_equivalentClass C1 C2) (And (And (ic C1) (ic C2)) (∀ (X : Iota), Iff (icext C1 X) (icext C2 X)))) % 17.89/18.05 True % 17.89/18.05 Clause #10 (by assumption #[]): Eq (Not (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf)) True % 17.89/18.05 Clause #11 (by clausification #[10]): Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) False % 17.89/18.05 Clause #12 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (C X Y : Iota), And (iext uri_rdfs_domain a C) (iext a X Y) → icext C X) True % 17.89/18.05 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (∀ (X Y : Iota), And (iext uri_rdfs_domain a a_1) (iext a X Y) → icext a_1 X) True % 17.89/18.05 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : Iota), Eq (∀ (Y : Iota), And (iext uri_rdfs_domain a a_1) (iext a a_2 Y) → icext a_1 a_2) True % 17.89/18.05 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (iext uri_rdfs_domain a a_1) (iext a a_2 a_3) → icext a_1 a_2) True % 17.89/18.05 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (And (iext uri_rdfs_domain a a_1) (iext a a_2 a_3)) False) (Eq (icext a_1 a_2) True) % 17.89/18.05 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 a_3 : Iota), % 17.89/18.05 Or (Eq (icext a a_1) True) (Or (Eq (iext uri_rdfs_domain a_2 a) False) (Eq (iext a_2 a_1 a_3) False)) % 17.89/18.05 Clause #19 (by superposition #[17, 3]): ∀ (a a_1 : Iota), Or (Eq (icext uri_rdf_Property a) True) (Or (Eq (iext uri_rdfs_domain a a_1) False) (Eq False True)) % 17.89/18.05 Clause #20 (by clausification #[0]): ∀ (a : Iota), Eq (Iff (iext uri_rdf_type a uri_rdf_Property) (ip a)) True % 17.89/18.05 Clause #22 (by clausification #[20]): ∀ (a : Iota), Or (Eq (iext uri_rdf_type a uri_rdf_Property) False) (Eq (ip a) True) % 17.89/18.05 Clause #26 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Y : Iota), iext uri_owl_equivalentClass a Y → And (ic a) (ic Y)) True % 17.89/18.05 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Eq (iext uri_owl_equivalentClass a a_1 → And (ic a) (ic a_1)) True % 17.89/18.05 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (And (ic a) (ic a_1)) True) % 17.89/18.05 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (ic a_1) True) % 17.89/18.05 Clause #30 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (ic a) True) % 17.89/18.05 Clause #31 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 17.89/18.05 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 17.89/18.05 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False) % 17.89/18.05 Clause #39 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (icext uri_rdf_Property a) True) (Eq (iext uri_rdfs_domain a a_1) False) % 17.89/18.05 Clause #40 (by superposition #[39, 4]): Or (Eq (icext uri_rdf_Property uri_rdfs_subClassOf) True) (Eq False True) % 17.93/18.08 Clause #42 (by clausification #[7]): ∀ (a : Iota), % 17.93/18.08 Eq % 17.93/18.08 (∀ (C2 : Iota), % 17.93/18.08 Iff (iext uri_rdfs_subClassOf a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), icext a X → icext C2 X))) % 17.93/18.08 True % 17.93/18.08 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), % 17.93/18.08 Eq (Iff (iext uri_rdfs_subClassOf a a_1) (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X))) True % 17.93/18.08 Clause #44 (by clausification #[43]): ∀ (a a_1 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subClassOf a a_1) True) % 17.93/18.08 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), icext a X → icext a_1 X)) False) % 17.93/18.08 Clause #46 (by clausification #[44]): ∀ (a a_1 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subClassOf a a_1) True) % 17.93/18.08 (Or (Eq (And (ic a) (ic a_1)) False) (Eq (∀ (X : Iota), icext a X → icext a_1 X) False)) % 17.93/18.08 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subClassOf a a_1) True) % 17.93/18.08 (Or (Eq (∀ (X : Iota), icext a X → icext a_1 X) False) (Or (Eq (ic a) False) (Eq (ic a_1) False))) % 17.93/18.08 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subClassOf a a_1) True) % 17.93/18.08 (Or (Eq (ic a) False) % 17.93/18.08 (Or (Eq (ic a_1) False) (Eq (Not (icext a (skS.0 0 a a_1 a_2) → icext a_1 (skS.0 0 a a_1 a_2))) True))) % 17.93/18.08 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subClassOf a a_1) True) % 17.93/18.08 (Or (Eq (ic a) False) % 17.93/18.08 (Or (Eq (ic a_1) False) (Eq (icext a (skS.0 0 a a_1 a_2) → icext a_1 (skS.0 0 a a_1 a_2)) False))) % 17.93/18.08 Clause #50 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subClassOf a a_1) True) % 17.93/18.08 (Or (Eq (ic a) False) (Or (Eq (ic a_1) False) (Eq (icext a (skS.0 0 a a_1 a_2)) True))) % 17.93/18.08 Clause #51 (by clausification #[49]): ∀ (a a_1 a_2 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subClassOf a a_1) True) % 17.93/18.08 (Or (Eq (ic a) False) (Or (Eq (ic a_1) False) (Eq (icext a_1 (skS.0 0 a a_1 a_2)) False))) % 17.93/18.08 Clause #54 (by clausification #[40]): Eq (icext uri_rdf_Property uri_rdfs_subClassOf) True % 17.93/18.08 Clause #55 (by superposition #[54, 33]): Or (Eq (iext uri_rdf_type uri_rdfs_subClassOf uri_rdf_Property) True) (Eq True False) % 17.93/18.08 Clause #60 (by clausification #[8]): ∀ (a : Iota), % 17.93/18.08 Eq % 17.93/18.08 (∀ (P2 : Iota), % 17.93/18.08 Iff (iext uri_rdfs_subPropertyOf a P2) (And (And (ip a) (ip P2)) (∀ (X Y : Iota), iext a X Y → iext P2 X Y))) % 17.93/18.08 True % 17.93/18.08 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota), % 17.93/18.08 Eq (Iff (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))) % 17.93/18.08 True % 17.93/18.08 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.08 (Eq (And (And (ip a) (ip a_1)) (∀ (X Y : Iota), iext a X Y → iext a_1 X Y)) False) % 17.93/18.08 Clause #64 (by clausification #[62]): ∀ (a a_1 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.08 (Or (Eq (And (ip a) (ip a_1)) False) (Eq (∀ (X Y : Iota), iext a X Y → iext a_1 X Y) False)) % 17.93/18.08 Clause #65 (by clausification #[64]): ∀ (a a_1 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.08 (Or (Eq (∀ (X Y : Iota), iext a X Y → iext a_1 X Y) False) (Or (Eq (ip a) False) (Eq (ip a_1) False))) % 17.93/18.08 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.08 (Or (Eq (ip a) False) % 17.93/18.08 (Or (Eq (ip a_1) False) % 17.93/18.08 (Eq (Not (∀ (Y : Iota), iext a (skS.0 1 a a_1 a_2) Y → iext a_1 (skS.0 1 a a_1 a_2) Y)) True))) % 17.93/18.08 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.08 (Or (Eq (ip a) False) % 17.93/18.08 (Or (Eq (ip a_1) False) (Eq (∀ (Y : Iota), iext a (skS.0 1 a a_1 a_2) Y → iext a_1 (skS.0 1 a a_1 a_2) Y) False))) % 17.93/18.08 Clause #68 (by clausification #[67]): ∀ (a a_1 a_2 a_3 : Iota), % 17.93/18.08 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.08 (Or (Eq (ip a) False) % 17.93/18.08 (Or (Eq (ip a_1) False) % 17.93/18.08 (Eq % 17.93/18.08 (Not % 17.93/18.08 (iext a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3) → iext a_1 (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3))) % 17.93/18.08 True))) % 17.93/18.08 Clause #69 (by clausification #[68]): ∀ (a a_1 a_2 a_3 : Iota), % 17.93/18.10 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.10 (Or (Eq (ip a) False) % 17.93/18.10 (Or (Eq (ip a_1) False) % 17.93/18.10 (Eq (iext a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3) → iext a_1 (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) % 17.93/18.10 False))) % 17.93/18.10 Clause #70 (by clausification #[69]): ∀ (a a_1 a_2 a_3 : Iota), % 17.93/18.10 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.10 (Or (Eq (ip a) False) (Or (Eq (ip a_1) False) (Eq (iext a (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) True))) % 17.93/18.10 Clause #71 (by clausification #[69]): ∀ (a a_1 a_2 a_3 : Iota), % 17.93/18.10 Or (Eq (iext uri_rdfs_subPropertyOf a a_1) True) % 17.93/18.10 (Or (Eq (ip a) False) (Or (Eq (ip a_1) False) (Eq (iext a_1 (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) False))) % 17.93/18.10 Clause #72 (by superposition #[70, 5]): ∀ (a a_1 a_2 : Iota), % 17.93/18.10 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass a) True) % 17.93/18.10 (Or (Eq (ip a) False) % 17.93/18.10 (Or % 17.93/18.10 (Eq % 17.93/18.10 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass a a_1) % 17.93/18.10 (skS.0 2 uri_owl_equivalentClass a a_1 a_2)) % 17.93/18.10 True) % 17.93/18.10 (Eq False True))) % 17.93/18.10 Clause #74 (by clausification #[55]): Eq (iext uri_rdf_type uri_rdfs_subClassOf uri_rdf_Property) True % 17.93/18.10 Clause #75 (by superposition #[74, 22]): Or (Eq True False) (Eq (ip uri_rdfs_subClassOf) True) % 17.93/18.10 Clause #77 (by clausification #[75]): Eq (ip uri_rdfs_subClassOf) True % 17.93/18.10 Clause #85 (by clausification #[9]): ∀ (a : Iota), % 17.93/18.10 Eq % 17.93/18.10 (∀ (C2 : Iota), % 17.93/18.10 Iff (iext uri_owl_equivalentClass a C2) (And (And (ic a) (ic C2)) (∀ (X : Iota), Iff (icext a X) (icext C2 X)))) % 17.93/18.10 True % 17.93/18.10 Clause #86 (by clausification #[85]): ∀ (a a_1 : Iota), % 17.93/18.10 Eq % 17.93/18.10 (Iff (iext uri_owl_equivalentClass a a_1) (And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (icext a_1 X)))) % 17.93/18.10 True % 17.93/18.10 Clause #88 (by clausification #[86]): ∀ (a a_1 : Iota), % 17.93/18.10 Or (Eq (iext uri_owl_equivalentClass a a_1) False) % 17.93/18.10 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), Iff (icext a X) (icext a_1 X))) True) % 17.93/18.10 Clause #102 (by clausification #[88]): ∀ (a a_1 : Iota), % 17.93/18.10 Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (∀ (X : Iota), Iff (icext a X) (icext a_1 X)) True) % 17.93/18.10 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 : Iota), Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Eq (Iff (icext a a_2) (icext a_1 a_2)) True) % 17.93/18.10 Clause #105 (by clausification #[103]): ∀ (a a_1 a_2 : Iota), % 17.93/18.10 Or (Eq (iext uri_owl_equivalentClass a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) True)) % 17.93/18.10 Clause #118 (by superposition #[71, 5]): ∀ (a a_1 a_2 : Iota), % 17.93/18.10 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass a) True) % 17.93/18.10 (Or (Eq (ip a) False) % 17.93/18.10 (Or (Eq (iext a (skS.0 1 uri_owl_equivalentClass a a_1) (skS.0 2 uri_owl_equivalentClass a a_1 a_2)) False) % 17.93/18.10 (Eq False True))) % 17.93/18.10 Clause #133 (by clausification #[72]): ∀ (a a_1 a_2 : Iota), % 17.93/18.10 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass a) True) % 17.93/18.10 (Or (Eq (ip a) False) % 17.93/18.10 (Eq % 17.93/18.10 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass a a_1) % 17.93/18.10 (skS.0 2 uri_owl_equivalentClass a a_1 a_2)) % 17.93/18.10 True)) % 17.93/18.10 Clause #136 (by superposition #[133, 77]): ∀ (a a_1 : Iota), % 17.93/18.10 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) True) % 17.93/18.10 (Or % 17.93/18.10 (Eq % 17.93/18.10 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.10 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.93/18.10 True) % 17.93/18.10 (Eq False True)) % 17.93/18.10 Clause #163 (by clausification #[136]): ∀ (a a_1 : Iota), % 17.93/18.10 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) True) % 17.93/18.10 (Eq % 17.93/18.10 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.10 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.93/18.10 True) % 17.93/18.10 Clause #164 (by forward demodulation #[163, 11]): ∀ (a a_1 : Iota), % 17.93/18.10 Or (Eq False True) % 17.93/18.10 (Eq % 17.93/18.10 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.10 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.93/18.10 True) % 17.93/18.10 Clause #165 (by clausification #[164]): ∀ (a a_1 : Iota), % 17.93/18.12 Eq % 17.93/18.12 (iext uri_owl_equivalentClass (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.12 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.93/18.12 True % 17.93/18.12 Clause #166 (by superposition #[165, 29]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (ic (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) True) % 17.93/18.12 Clause #167 (by superposition #[165, 30]): ∀ (a : Iota), Or (Eq True False) (Eq (ic (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)) True) % 17.93/18.12 Clause #169 (by superposition #[165, 105]): ∀ (a a_1 a_2 : Iota), % 17.93/18.12 Or (Eq True False) % 17.93/18.12 (Or (Eq (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) False) % 17.93/18.12 (Eq (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_2) a_1) True)) % 17.93/18.12 Clause #170 (by clausification #[167]): ∀ (a : Iota), Eq (ic (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a)) True % 17.93/18.12 Clause #171 (by superposition #[170, 50]): ∀ (a a_1 a_2 : Iota), % 17.93/18.12 Or (Eq (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) True) % 17.93/18.12 (Or (Eq True False) % 17.93/18.12 (Or (Eq (ic a_1) False) % 17.93/18.12 (Eq % 17.93/18.12 (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.12 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1 a_2)) % 17.93/18.12 True))) % 17.93/18.12 Clause #173 (by superposition #[170, 51]): ∀ (a a_1 a_2 : Iota), % 17.93/18.12 Or (Eq (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) True) % 17.93/18.12 (Or (Eq True False) % 17.93/18.12 (Or (Eq (ic a_1) False) % 17.93/18.12 (Eq (icext a_1 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1 a_2)) False))) % 17.93/18.12 Clause #174 (by clausification #[166]): ∀ (a a_1 : Iota), Eq (ic (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) True % 17.93/18.12 Clause #181 (by clausification #[169]): ∀ (a a_1 a_2 : Iota), % 17.93/18.12 Or (Eq (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) False) % 17.93/18.12 (Eq (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_2) a_1) True) % 17.93/18.12 Clause #223 (by clausification #[118]): ∀ (a a_1 a_2 : Iota), % 17.93/18.12 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass a) True) % 17.93/18.12 (Or (Eq (ip a) False) % 17.93/18.12 (Eq (iext a (skS.0 1 uri_owl_equivalentClass a a_1) (skS.0 2 uri_owl_equivalentClass a a_1 a_2)) False)) % 17.93/18.12 Clause #226 (by superposition #[223, 77]): ∀ (a a_1 : Iota), % 17.93/18.12 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) True) % 17.93/18.12 (Or % 17.93/18.12 (Eq % 17.93/18.12 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.12 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.93/18.12 False) % 17.93/18.12 (Eq False True)) % 17.93/18.12 Clause #239 (by clausification #[226]): ∀ (a a_1 : Iota), % 17.93/18.12 Or (Eq (iext uri_rdfs_subPropertyOf uri_owl_equivalentClass uri_rdfs_subClassOf) True) % 17.93/18.12 (Eq % 17.93/18.12 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.12 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.93/18.12 False) % 17.93/18.12 Clause #240 (by forward demodulation #[239, 11]): ∀ (a a_1 : Iota), % 17.93/18.12 Or (Eq False True) % 17.93/18.12 (Eq % 17.93/18.12 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.12 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.93/18.12 False) % 17.93/18.12 Clause #241 (by clausification #[240]): ∀ (a a_1 : Iota), % 17.93/18.12 Eq % 17.93/18.12 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.12 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.93/18.12 False % 17.93/18.12 Clause #370 (by clausification #[173]): ∀ (a a_1 a_2 : Iota), % 17.93/18.12 Or (Eq (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) True) % 17.93/18.12 (Or (Eq (ic a_1) False) % 17.93/18.12 (Eq (icext a_1 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1 a_2)) False)) % 17.93/18.12 Clause #372 (by superposition #[370, 174]): ∀ (a a_1 a_2 a_3 : Iota), % 17.93/18.12 Or % 17.93/18.12 (Eq % 17.93/18.12 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.93/18.12 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2)) % 17.93/18.12 True) % 17.93/18.12 (Or % 17.93/18.12 (Eq % 17.93/18.12 (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) % 17.99/18.14 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_3)) % 17.99/18.14 False) % 17.99/18.14 (Eq False True)) % 17.99/18.14 Clause #553 (by clausification #[171]): ∀ (a a_1 a_2 : Iota), % 17.99/18.14 Or (Eq (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1) True) % 17.99/18.14 (Or (Eq (ic a_1) False) % 17.99/18.14 (Eq % 17.99/18.14 (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) a_1 a_2)) % 17.99/18.14 True)) % 17.99/18.14 Clause #555 (by superposition #[553, 174]): ∀ (a a_1 a_2 a_3 : Iota), % 17.99/18.14 Or % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2)) % 17.99/18.14 True) % 17.99/18.14 (Or % 17.99/18.14 (Eq % 17.99/18.14 (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_3)) % 17.99/18.14 True) % 17.99/18.14 (Eq False True)) % 17.99/18.14 Clause #929 (by clausification #[555]): ∀ (a a_1 a_2 a_3 : Iota), % 17.99/18.14 Or % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2)) % 17.99/18.14 True) % 17.99/18.14 (Eq % 17.99/18.14 (icext (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_3)) % 17.99/18.14 True) % 17.99/18.14 Clause #930 (by superposition #[929, 181]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 17.99/18.14 Or % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2)) % 17.99/18.14 True) % 17.99/18.14 (Or (Eq True False) % 17.99/18.14 (Eq % 17.99/18.14 (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_3) % 17.99/18.14 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_4)) % 17.99/18.14 True)) % 17.99/18.14 Clause #980 (by clausification #[372]): ∀ (a a_1 a_2 a_3 : Iota), % 17.99/18.14 Or % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2)) % 17.99/18.14 True) % 17.99/18.14 (Eq % 17.99/18.14 (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) % 17.99/18.14 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_3)) % 17.99/18.14 False) % 17.99/18.14 Clause #1019 (by clausification #[930]): ∀ (a a_1 a_2 a_3 a_4 : Iota), % 17.99/18.14 Or % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2)) % 17.99/18.14 True) % 17.99/18.14 (Eq % 17.99/18.14 (icext (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_3) % 17.99/18.14 (skS.0 0 (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a_1 a_2) a_4)) % 17.99/18.14 True) % 17.99/18.14 Clause #1020 (by superposition #[1019, 980]): ∀ (a a_1 : Iota), % 17.99/18.14 Or % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.99/18.14 True) % 17.99/18.14 (Or % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.99/18.14 True) % 17.99/18.14 (Eq True False)) % 17.99/18.14 Clause #1023 (by clausification #[1020]): ∀ (a a_1 : Iota), % 17.99/18.14 Or % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.99/18.14 True) % 17.99/18.14 (Eq % 17.99/18.14 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.14 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.99/18.14 True) % 17.99/18.14 Clause #1024 (by eliminate duplicate literals #[1023]): ∀ (a a_1 : Iota), % 17.99/18.15 Eq % 17.99/18.15 (iext uri_rdfs_subClassOf (skS.0 1 uri_owl_equivalentClass uri_rdfs_subClassOf a) % 17.99/18.15 (skS.0 2 uri_owl_equivalentClass uri_rdfs_subClassOf a a_1)) % 17.99/18.15 True % 17.99/18.15 Clause #1025 (by superposition #[1024, 241]): Eq True False % 17.99/18.15 Clause #1026 (by clausification #[1025]): False % 17.99/18.15 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------