%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB008+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 3.58s 3.77s % Output : Proof 3.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SWB008+2 : TPTP v9.2.0. Released v5.2.0. % 0.12/0.14 % Command : duper %s % 0.14/0.35 % Computer : n026.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 11:47:53 EDT 2025 % 0.14/0.35 % CPUTime : % 3.58/3.77 SZS status Theorem for theBenchmark.p % 3.58/3.77 SZS output start Proof for theBenchmark.p % 3.58/3.77 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True % 3.58/3.77 Clause #1 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (iext uri_owl_sameAs X Y) (Eq X Y)) True % 3.58/3.77 Clause #2 (by assumption #[]): Eq % 3.58/3.77 (∀ (P : Iota), % 3.58/3.77 Iff (icext uri_owl_InverseFunctionalProperty P) % 3.58/3.77 (And (ip P) (∀ (X1 X2 Y : Iota), And (iext P X1 Y) (iext P X2 Y) → Eq X1 X2))) % 3.58/3.77 True % 3.58/3.77 Clause #3 (by assumption #[]): Eq (Not (iext uri_owl_sameAs uri_ex_bob uri_ex_robert)) True % 3.58/3.77 Clause #4 (by assumption #[]): Eq % 3.58/3.77 (And % 3.58/3.77 (And % 3.58/3.77 (And (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_DatatypeProperty) % 3.58/3.77 (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_InverseFunctionalProperty)) % 3.58/3.77 (iext uri_foaf_mbox_sha1sum uri_ex_bob (literal_plain dat_str_xyz))) % 3.58/3.77 (iext uri_foaf_mbox_sha1sum uri_ex_robert (literal_plain dat_str_xyz))) % 3.58/3.77 True % 3.58/3.77 Clause #5 (by clausification #[3]): Eq (iext uri_owl_sameAs uri_ex_bob uri_ex_robert) False % 3.58/3.77 Clause #6 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True % 3.58/3.77 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True % 3.58/3.77 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True) % 3.58/3.77 Clause #10 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (iext uri_owl_sameAs a Y) (Eq a Y)) True % 3.58/3.77 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_owl_sameAs a a_1) (Eq a a_1)) True % 3.58/3.77 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) True) (Eq (Eq a a_1) False) % 3.58/3.77 Clause #14 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) True) (Ne a a_1) % 3.58/3.77 Clause #15 (by destructive equality resolution #[14]): ∀ (a : Iota), Eq (iext uri_owl_sameAs a a) True % 3.58/3.77 Clause #18 (by clausification #[2]): ∀ (a : Iota), % 3.58/3.77 Eq % 3.58/3.77 (Iff (icext uri_owl_InverseFunctionalProperty a) % 3.58/3.77 (And (ip a) (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2))) % 3.58/3.77 True % 3.58/3.77 Clause #20 (by clausification #[18]): ∀ (a : Iota), % 3.58/3.77 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False) % 3.58/3.77 (Eq (And (ip a) (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2)) True) % 3.58/3.77 Clause #33 (by clausification #[20]): ∀ (a : Iota), % 3.58/3.77 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False) % 3.58/3.77 (Eq (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2) True) % 3.58/3.77 Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota), % 3.58/3.77 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False) % 3.58/3.77 (Eq (∀ (X2 Y : Iota), And (iext a a_1 Y) (iext a X2 Y) → Eq a_1 X2) True) % 3.58/3.77 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota), % 3.58/3.77 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False) % 3.58/3.77 (Eq (∀ (Y : Iota), And (iext a a_1 Y) (iext a a_2 Y) → Eq a_1 a_2) True) % 3.58/3.77 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 a_3 : Iota), % 3.58/3.77 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False) % 3.58/3.77 (Eq (And (iext a a_1 a_2) (iext a a_3 a_2) → Eq a_1 a_3) True) % 3.58/3.77 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 a_3 : Iota), % 3.58/3.77 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False) % 3.58/3.77 (Or (Eq (And (iext a a_1 a_2) (iext a a_3 a_2)) False) (Eq (Eq a_1 a_3) True)) % 3.58/3.77 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 a_3 : Iota), % 3.58/3.77 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False) % 3.58/3.77 (Or (Eq (Eq a_1 a_2) True) (Or (Eq (iext a a_1 a_3) False) (Eq (iext a a_2 a_3) False))) % 3.58/3.77 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 a_3 : Iota), % 3.58/3.77 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False) % 3.58/3.77 (Or (Eq (iext a a_1 a_2) False) (Or (Eq (iext a a_3 a_2) False) (Eq a_1 a_3))) % 3.58/3.77 Clause #41 (by clausification #[4]): Eq (iext uri_foaf_mbox_sha1sum uri_ex_robert (literal_plain dat_str_xyz)) True % 3.58/3.77 Clause #42 (by clausification #[4]): Eq % 3.58/3.77 (And % 3.58/3.77 (And (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_DatatypeProperty) % 3.58/3.77 (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_InverseFunctionalProperty)) % 3.58/3.78 (iext uri_foaf_mbox_sha1sum uri_ex_bob (literal_plain dat_str_xyz))) % 3.58/3.78 True % 3.58/3.78 Clause #43 (by clausification #[42]): Eq (iext uri_foaf_mbox_sha1sum uri_ex_bob (literal_plain dat_str_xyz)) True % 3.58/3.78 Clause #44 (by clausification #[42]): Eq % 3.58/3.78 (And (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_DatatypeProperty) % 3.58/3.78 (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_InverseFunctionalProperty)) % 3.58/3.78 True % 3.58/3.78 Clause #46 (by clausification #[44]): Eq (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_InverseFunctionalProperty) True % 3.58/3.78 Clause #48 (by superposition #[46, 9]): Or (Eq True False) (Eq (icext uri_owl_InverseFunctionalProperty uri_foaf_mbox_sha1sum) True) % 3.58/3.78 Clause #52 (by clausification #[48]): Eq (icext uri_owl_InverseFunctionalProperty uri_foaf_mbox_sha1sum) True % 3.58/3.78 Clause #53 (by superposition #[52, 40]): ∀ (a a_1 a_2 : Iota), % 3.58/3.78 Or (Eq True False) % 3.58/3.78 (Or (Eq (iext uri_foaf_mbox_sha1sum a a_1) False) (Or (Eq (iext uri_foaf_mbox_sha1sum a_2 a_1) False) (Eq a a_2))) % 3.58/3.78 Clause #60 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), % 3.58/3.78 Or (Eq (iext uri_foaf_mbox_sha1sum a a_1) False) (Or (Eq (iext uri_foaf_mbox_sha1sum a_2 a_1) False) (Eq a a_2)) % 3.58/3.78 Clause #62 (by superposition #[60, 43]): ∀ (a : Iota), % 3.58/3.78 Or (Eq (iext uri_foaf_mbox_sha1sum a (literal_plain dat_str_xyz)) False) (Or (Eq uri_ex_bob a) (Eq False True)) % 3.58/3.78 Clause #63 (by clausification #[62]): ∀ (a : Iota), Or (Eq (iext uri_foaf_mbox_sha1sum a (literal_plain dat_str_xyz)) False) (Eq uri_ex_bob a) % 3.58/3.78 Clause #64 (by superposition #[63, 41]): Or (Eq uri_ex_bob uri_ex_robert) (Eq False True) % 3.58/3.78 Clause #69 (by clausification #[64]): Eq uri_ex_bob uri_ex_robert % 3.58/3.78 Clause #70 (by backward demodulation #[69, 5]): Eq (iext uri_owl_sameAs uri_ex_bob uri_ex_bob) False % 3.58/3.78 Clause #71 (by superposition #[70, 15]): Eq False True % 3.58/3.78 Clause #72 (by clausification #[71]): False % 3.58/3.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------