%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET602+3 : TPTP v9.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n023.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 08:00:13 PM UTC 2025 % Result : Theorem 3.85s 4.04s % Output : Proof 3.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SET602+3 : TPTP v9.2.0. Released v2.2.0. % 0.07/0.15 % Command : duper %s % 0.14/0.36 % Computer : n023.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Oct 2 13:48:53 EDT 2025 % 0.14/0.36 % CPUTime : % 3.85/4.04 SZS status Theorem for theBenchmark.p % 3.85/4.04 SZS output start Proof for theBenchmark.p % 3.85/4.04 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), Iff (Eq (difference B C) empty_set) (subset B C)) True % 3.85/4.04 Clause #5 (by assumption #[]): Eq (∀ (B : Iota), subset B B) True % 3.85/4.04 Clause #7 (by assumption #[]): Eq (Not (∀ (B : Iota), Eq (difference B B) empty_set)) True % 3.85/4.04 Clause #8 (by clausification #[5]): ∀ (a : Iota), Eq (subset a a) True % 3.85/4.04 Clause #11 (by clausification #[7]): Eq (∀ (B : Iota), Eq (difference B B) empty_set) False % 3.85/4.04 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (Not (Eq (difference (skS.0 0 a) (skS.0 0 a)) empty_set)) True % 3.85/4.04 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Eq (difference (skS.0 0 a) (skS.0 0 a)) empty_set) False % 3.85/4.04 Clause #14 (by clausification #[13]): ∀ (a : Iota), Ne (difference (skS.0 0 a) (skS.0 0 a)) empty_set % 3.85/4.04 Clause #23 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (Eq (difference a C) empty_set) (subset a C)) True % 3.85/4.04 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (Iff (Eq (difference a a_1) empty_set) (subset a a_1)) True % 3.85/4.04 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (Eq (difference a a_1) empty_set) True) (Eq (subset a a_1) False) % 3.85/4.04 Clause #27 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (difference a a_1) empty_set) % 3.85/4.04 Clause #28 (by superposition #[27, 8]): ∀ (a : Iota), Or (Eq (difference a a) empty_set) (Eq False True) % 3.85/4.04 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (difference a a) empty_set % 3.85/4.04 Clause #31 (by backward contextual literal cutting #[29, 14]): False % 3.85/4.04 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------