%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB007+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 08:03:22 PM UTC 2025 % Result : Theorem 3.55s 3.69s % Output : Proof 3.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWB007+2 : TPTP v9.2.0. Released v5.2.0. % 0.06/0.14 % Command : duper %s % 0.14/0.35 % Computer : n027.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 11:56:08 EDT 2025 % 0.14/0.35 % CPUTime : % 3.55/3.69 SZS status Theorem for theBenchmark.p % 3.55/3.69 SZS output start Proof for theBenchmark.p % 3.55/3.69 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (iext uri_owl_sameAs X Y) (Eq X Y)) True % 3.55/3.69 Clause #1 (by assumption #[]): Eq % 3.55/3.69 (Not % 3.55/3.69 (And (And (iext uri_rdf_type uri_ex_w uri_ex_c2) (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2)) % 3.55/3.69 (iext uri_rdfs_range uri_ex_p uri_ex_c2))) % 3.55/3.69 True % 3.55/3.69 Clause #2 (by assumption #[]): Eq % 3.55/3.69 (And % 3.55/3.69 (And (And (iext uri_owl_sameAs uri_ex_c1 uri_ex_c2) (iext uri_rdf_type uri_ex_w uri_ex_c1)) % 3.55/3.69 (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c1)) % 3.55/3.69 (iext uri_rdfs_range uri_ex_p uri_ex_c1)) % 3.55/3.69 True % 3.55/3.69 Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (iext uri_owl_sameAs a Y) (Eq a Y)) True % 3.55/3.69 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_owl_sameAs a a_1) (Eq a a_1)) True % 3.55/3.69 Clause #6 (by clausification #[4]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq (Eq a a_1) True) % 3.55/3.69 Clause #9 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq a a_1) % 3.55/3.69 Clause #12 (by clausification #[1]): Eq % 3.55/3.69 (And (And (iext uri_rdf_type uri_ex_w uri_ex_c2) (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2)) % 3.55/3.69 (iext uri_rdfs_range uri_ex_p uri_ex_c2)) % 3.55/3.69 False % 3.55/3.69 Clause #13 (by clausification #[12]): Or (Eq (And (iext uri_rdf_type uri_ex_w uri_ex_c2) (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2)) False) % 3.55/3.69 (Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) False) % 3.55/3.69 Clause #14 (by clausification #[13]): Or (Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) False) % 3.55/3.69 (Or (Eq (iext uri_rdf_type uri_ex_w uri_ex_c2) False) (Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False)) % 3.55/3.69 Clause #15 (by clausification #[2]): Eq (iext uri_rdfs_range uri_ex_p uri_ex_c1) True % 3.55/3.69 Clause #16 (by clausification #[2]): Eq % 3.55/3.69 (And (And (iext uri_owl_sameAs uri_ex_c1 uri_ex_c2) (iext uri_rdf_type uri_ex_w uri_ex_c1)) % 3.55/3.69 (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c1)) % 3.55/3.69 True % 3.55/3.69 Clause #17 (by clausification #[16]): Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c1) True % 3.55/3.69 Clause #18 (by clausification #[16]): Eq (And (iext uri_owl_sameAs uri_ex_c1 uri_ex_c2) (iext uri_rdf_type uri_ex_w uri_ex_c1)) True % 3.55/3.69 Clause #19 (by clausification #[18]): Eq (iext uri_rdf_type uri_ex_w uri_ex_c1) True % 3.55/3.69 Clause #20 (by clausification #[18]): Eq (iext uri_owl_sameAs uri_ex_c1 uri_ex_c2) True % 3.55/3.69 Clause #21 (by superposition #[20, 9]): Or (Eq True False) (Eq uri_ex_c1 uri_ex_c2) % 3.55/3.69 Clause #22 (by clausification #[21]): Eq uri_ex_c1 uri_ex_c2 % 3.55/3.69 Clause #23 (by backward demodulation #[22, 15]): Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) True % 3.55/3.69 Clause #24 (by backward demodulation #[22, 17]): Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) True % 3.55/3.69 Clause #25 (by backward demodulation #[22, 19]): Eq (iext uri_rdf_type uri_ex_w uri_ex_c2) True % 3.55/3.69 Clause #27 (by backward demodulation #[25, 14]): Or (Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) False) % 3.55/3.69 (Or (Eq True False) (Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False)) % 3.55/3.69 Clause #28 (by clausification #[27]): Or (Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) False) (Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False) % 3.55/3.69 Clause #29 (by forward demodulation #[28, 23]): Or (Eq True False) (Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False) % 3.55/3.69 Clause #30 (by clausification #[29]): Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False % 3.55/3.69 Clause #31 (by superposition #[30, 24]): Eq False True % 3.55/3.69 Clause #32 (by clausification #[31]): False % 3.55/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------