%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB006+2 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 3.61s 3.83s % Output : Proof 3.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SWB006+2 : TPTP v9.2.0. Released v5.2.0. % 0.08/0.13 % Command : duper %s % 0.13/0.34 % Computer : n006.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 11:51:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.61/3.83 SZS status Theorem for theBenchmark.p % 3.61/3.83 SZS output start Proof for theBenchmark.p % 3.61/3.83 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (iext uri_owl_sameAs X Y) (Eq X Y)) True % 3.61/3.83 Clause #1 (by assumption #[]): Eq (Not (iext uri_owl_sameAs uri_ex_u uri_ex_w)) True % 3.61/3.83 Clause #2 (by assumption #[]): Eq % 3.61/3.83 (Exists fun BNODE_x => % 3.61/3.83 And % 3.61/3.83 (And (iext uri_owl_sameAs uri_ex_u (literal_plain dat_str_abc)) % 3.61/3.83 (iext uri_owl_sameAs BNODE_x (literal_plain dat_str_abc))) % 3.61/3.83 (iext uri_owl_sameAs BNODE_x uri_ex_w)) % 3.61/3.83 True % 3.61/3.83 Clause #3 (by clausification #[1]): Eq (iext uri_owl_sameAs uri_ex_u uri_ex_w) False % 3.61/3.83 Clause #4 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (iext uri_owl_sameAs a Y) (Eq a Y)) True % 3.61/3.83 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_owl_sameAs a a_1) (Eq a a_1)) True % 3.61/3.83 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) True) (Eq (Eq a a_1) False) % 3.61/3.83 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq (Eq a a_1) True) % 3.61/3.83 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) True) (Ne a a_1) % 3.61/3.83 Clause #9 (by destructive equality resolution #[8]): ∀ (a : Iota), Eq (iext uri_owl_sameAs a a) True % 3.61/3.83 Clause #10 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq a a_1) % 3.61/3.83 Clause #13 (by clausification #[2]): ∀ (a : Iota), % 3.61/3.83 Eq % 3.61/3.83 (And % 3.61/3.83 (And (iext uri_owl_sameAs uri_ex_u (literal_plain dat_str_abc)) % 3.61/3.83 (iext uri_owl_sameAs (skS.0 0 a) (literal_plain dat_str_abc))) % 3.61/3.83 (iext uri_owl_sameAs (skS.0 0 a) uri_ex_w)) % 3.61/3.83 True % 3.61/3.83 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (iext uri_owl_sameAs (skS.0 0 a) uri_ex_w) True % 3.61/3.83 Clause #15 (by clausification #[13]): ∀ (a : Iota), % 3.61/3.83 Eq % 3.61/3.83 (And (iext uri_owl_sameAs uri_ex_u (literal_plain dat_str_abc)) % 3.61/3.83 (iext uri_owl_sameAs (skS.0 0 a) (literal_plain dat_str_abc))) % 3.61/3.83 True % 3.61/3.83 Clause #16 (by superposition #[14, 10]): ∀ (a : Iota), Or (Eq True False) (Eq (skS.0 0 a) uri_ex_w) % 3.61/3.83 Clause #17 (by clausification #[15]): ∀ (a : Iota), Eq (iext uri_owl_sameAs (skS.0 0 a) (literal_plain dat_str_abc)) True % 3.61/3.83 Clause #18 (by clausification #[15]): Eq (iext uri_owl_sameAs uri_ex_u (literal_plain dat_str_abc)) True % 3.61/3.83 Clause #19 (by superposition #[17, 10]): ∀ (a : Iota), Or (Eq True False) (Eq (skS.0 0 a) (literal_plain dat_str_abc)) % 3.61/3.83 Clause #20 (by superposition #[18, 10]): Or (Eq True False) (Eq uri_ex_u (literal_plain dat_str_abc)) % 3.61/3.83 Clause #21 (by clausification #[20]): Eq uri_ex_u (literal_plain dat_str_abc) % 3.61/3.83 Clause #24 (by clausification #[16]): ∀ (a : Iota), Eq (skS.0 0 a) uri_ex_w % 3.61/3.83 Clause #26 (by clausification #[19]): ∀ (a : Iota), Eq (skS.0 0 a) (literal_plain dat_str_abc) % 3.61/3.83 Clause #27 (by forward demodulation #[26, 21]): ∀ (a : Iota), Eq (skS.0 0 a) uri_ex_u % 3.61/3.83 Clause #28 (by superposition #[27, 24]): Eq uri_ex_u uri_ex_w % 3.61/3.83 Clause #29 (by backward demodulation #[28, 3]): Eq (iext uri_owl_sameAs uri_ex_u uri_ex_u) False % 3.61/3.83 Clause #30 (by superposition #[29, 9]): Eq False True % 3.61/3.83 Clause #31 (by clausification #[30]): False % 3.61/3.83 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------