%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB011+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 08:03:23 PM UTC 2025 % Result : Unsatisfiable 3.53s 3.69s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWB011+2 : TPTP v9.2.0. Released v5.2.0. % 0.07/0.13 % Command : duper %s % 0.14/0.34 % Computer : n007.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 11:45:08 EDT 2025 % 0.14/0.34 % CPUTime : % 3.53/3.69 SZS status Theorem for theBenchmark.p % 3.53/3.69 SZS output start Proof for theBenchmark.p % 3.53/3.69 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 3.53/3.69 Clause #1 (by assumption #[]): Eq % 3.53/3.69 (∀ (C1 C2 : Iota), % 3.53/3.69 Iff (iext uri_owl_disjointWith C1 C2) % 3.53/3.69 (And (And (ic C1) (ic C2)) (∀ (X : Iota), Not (And (icext C1 X) (icext C2 X))))) % 3.53/3.69 True % 3.53/3.69 Clause #2 (by assumption #[]): Eq % 3.53/3.69 (And (And (iext uri_owl_disjointWith uri_owl_Class uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_x uri_owl_Class)) % 3.53/3.69 (iext uri_rdf_type uri_ex_x uri_owl_ObjectProperty)) % 3.53/3.69 True % 3.53/3.69 Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 3.53/3.69 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 3.53/3.69 Clause #6 (by clausification #[4]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True) % 3.53/3.69 Clause #7 (by clausification #[2]): Eq (iext uri_rdf_type uri_ex_x uri_owl_ObjectProperty) True % 3.53/3.69 Clause #8 (by clausification #[2]): Eq (And (iext uri_owl_disjointWith uri_owl_Class uri_owl_ObjectProperty) (iext uri_rdf_type uri_ex_x uri_owl_Class)) % 3.53/3.69 True % 3.53/3.69 Clause #9 (by superposition #[7, 6]): Or (Eq True False) (Eq (icext uri_owl_ObjectProperty uri_ex_x) True) % 3.53/3.69 Clause #10 (by clausification #[9]): Eq (icext uri_owl_ObjectProperty uri_ex_x) True % 3.53/3.69 Clause #12 (by clausification #[1]): ∀ (a : Iota), % 3.53/3.69 Eq % 3.53/3.69 (∀ (C2 : Iota), % 3.53/3.69 Iff (iext uri_owl_disjointWith a C2) % 3.53/3.69 (And (And (ic a) (ic C2)) (∀ (X : Iota), Not (And (icext a X) (icext C2 X))))) % 3.53/3.69 True % 3.53/3.69 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), % 3.53/3.69 Eq % 3.53/3.69 (Iff (iext uri_owl_disjointWith a a_1) % 3.53/3.69 (And (And (ic a) (ic a_1)) (∀ (X : Iota), Not (And (icext a X) (icext a_1 X))))) % 3.53/3.69 True % 3.53/3.69 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), % 3.53/3.69 Or (Eq (iext uri_owl_disjointWith a a_1) False) % 3.53/3.69 (Eq (And (And (ic a) (ic a_1)) (∀ (X : Iota), Not (And (icext a X) (icext a_1 X)))) True) % 3.53/3.69 Clause #23 (by clausification #[8]): Eq (iext uri_rdf_type uri_ex_x uri_owl_Class) True % 3.53/3.69 Clause #24 (by clausification #[8]): Eq (iext uri_owl_disjointWith uri_owl_Class uri_owl_ObjectProperty) True % 3.53/3.69 Clause #25 (by superposition #[23, 6]): Or (Eq True False) (Eq (icext uri_owl_Class uri_ex_x) True) % 3.53/3.69 Clause #26 (by clausification #[25]): Eq (icext uri_owl_Class uri_ex_x) True % 3.53/3.69 Clause #28 (by clausification #[15]): ∀ (a a_1 : Iota), % 3.53/3.69 Or (Eq (iext uri_owl_disjointWith a a_1) False) (Eq (∀ (X : Iota), Not (And (icext a X) (icext a_1 X))) True) % 3.53/3.69 Clause #30 (by clausification #[28]): ∀ (a a_1 a_2 : Iota), % 3.53/3.69 Or (Eq (iext uri_owl_disjointWith a a_1) False) (Eq (Not (And (icext a a_2) (icext a_1 a_2))) True) % 3.53/3.69 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : Iota), Or (Eq (iext uri_owl_disjointWith a a_1) False) (Eq (And (icext a a_2) (icext a_1 a_2)) False) % 3.53/3.69 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), % 3.53/3.69 Or (Eq (iext uri_owl_disjointWith a a_1) False) (Or (Eq (icext a a_2) False) (Eq (icext a_1 a_2) False)) % 3.53/3.69 Clause #33 (by superposition #[32, 24]): ∀ (a : Iota), Or (Eq (icext uri_owl_Class a) False) (Or (Eq (icext uri_owl_ObjectProperty a) False) (Eq False True)) % 3.53/3.69 Clause #34 (by clausification #[33]): ∀ (a : Iota), Or (Eq (icext uri_owl_Class a) False) (Eq (icext uri_owl_ObjectProperty a) False) % 3.53/3.69 Clause #35 (by superposition #[34, 26]): Or (Eq (icext uri_owl_ObjectProperty uri_ex_x) False) (Eq False True) % 3.53/3.69 Clause #36 (by clausification #[35]): Eq (icext uri_owl_ObjectProperty uri_ex_x) False % 3.53/3.69 Clause #37 (by superposition #[36, 10]): Eq False True % 3.53/3.69 Clause #38 (by clausification #[37]): False % 3.53/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------