%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB018+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 08:03:26 PM UTC 2025 % Result : Theorem 3.38s 3.58s % Output : Proof 3.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWB018+2 : TPTP v9.2.0. Released v5.2.0. % 0.07/0.14 % Command : duper %s % 0.15/0.35 % Computer : n031.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Thu Oct 2 11:54:38 EDT 2025 % 0.15/0.35 % CPUTime : % 3.38/3.58 SZS status Theorem for theBenchmark.p % 3.38/3.58 SZS output start Proof for theBenchmark.p % 3.38/3.58 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 3.38/3.58 Clause #1 (by assumption #[]): Eq (∀ (P C X Y : Iota), And (iext uri_rdfs_domain P C) (iext P X Y) → icext C X) True % 3.38/3.58 Clause #2 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (iext uri_owl_sameAs X Y) (Eq X Y)) True % 3.38/3.58 Clause #3 (by assumption #[]): Eq (Not (iext uri_rdf_type uri_ex_u uri_ex_Person)) True % 3.38/3.58 Clause #4 (by assumption #[]): Eq (And (iext uri_rdfs_domain uri_owl_sameAs uri_ex_Person) (iext uri_owl_sameAs uri_ex_w uri_ex_u)) True % 3.38/3.58 Clause #5 (by clausification #[3]): Eq (iext uri_rdf_type uri_ex_u uri_ex_Person) False % 3.38/3.58 Clause #6 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C X Y : Iota), And (iext uri_rdfs_domain a C) (iext a X Y) → icext C X) True % 3.38/3.58 Clause #7 (by clausification #[6]): ∀ (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 % 3.38/3.58 Clause #8 (by clausification #[7]): ∀ (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 % 3.38/3.58 Clause #9 (by clausification #[8]): ∀ (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 % 3.38/3.58 Clause #10 (by clausification #[9]): ∀ (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) % 3.38/3.58 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota), % 3.38/3.58 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)) % 3.38/3.58 Clause #13 (by clausification #[4]): Eq (iext uri_rdfs_domain uri_owl_sameAs uri_ex_Person) True % 3.38/3.58 Clause #14 (by superposition #[13, 11]): ∀ (a a_1 : Iota), Or (Eq (icext uri_ex_Person a) True) (Or (Eq True False) (Eq (iext uri_owl_sameAs a a_1) False)) % 3.38/3.58 Clause #15 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 3.38/3.58 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 3.38/3.58 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) True) (Eq (icext a_1 a) False) % 3.38/3.58 Clause #19 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (iext uri_owl_sameAs a Y) (Eq a Y)) True % 3.38/3.58 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_owl_sameAs a a_1) (Eq a a_1)) True % 3.38/3.58 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) True) (Eq (Eq a a_1) False) % 3.38/3.58 Clause #23 (by clausification #[21]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) True) (Ne a a_1) % 3.38/3.58 Clause #24 (by destructive equality resolution #[23]): ∀ (a : Iota), Eq (iext uri_owl_sameAs a a) True % 3.38/3.58 Clause #31 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (icext uri_ex_Person a) True) (Eq (iext uri_owl_sameAs a a_1) False) % 3.38/3.58 Clause #32 (by superposition #[31, 24]): ∀ (a : Iota), Or (Eq (icext uri_ex_Person a) True) (Eq False True) % 3.38/3.58 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (icext uri_ex_Person a) True % 3.38/3.58 Clause #35 (by superposition #[33, 17]): ∀ (a : Iota), Or (Eq (iext uri_rdf_type a uri_ex_Person) True) (Eq True False) % 3.38/3.58 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (iext uri_rdf_type a uri_ex_Person) True % 3.38/3.58 Clause #37 (by superposition #[36, 5]): Eq True False % 3.38/3.58 Clause #39 (by clausification #[37]): False % 3.38/3.58 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------