%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET604+3 : TPTP v9.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:00:14 PM UTC 2025 % Result : Theorem 3.65s 3.89s % Output : Proof 3.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET604+3 : TPTP v9.2.0. Released v2.2.0. % 0.10/0.13 % Command : duper %s % 0.14/0.34 % Computer : n028.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 13:44:38 EDT 2025 % 0.14/0.34 % CPUTime : % 3.65/3.89 SZS status Theorem for theBenchmark.p % 3.65/3.89 SZS output start Proof for theBenchmark.p % 3.65/3.89 Clause #0 (by assumption #[]): Eq (∀ (B : Iota), subset empty_set B) True % 3.65/3.89 Clause #1 (by assumption #[]): Eq (∀ (B C : Iota), Iff (Eq (difference B C) empty_set) (subset B C)) True % 3.65/3.89 Clause #8 (by assumption #[]): Eq (Not (∀ (B : Iota), Eq (difference empty_set B) empty_set)) True % 3.65/3.89 Clause #10 (by clausification #[0]): ∀ (a : Iota), Eq (subset empty_set a) True % 3.65/3.89 Clause #13 (by clausification #[8]): Eq (∀ (B : Iota), Eq (difference empty_set B) empty_set) False % 3.65/3.89 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (Not (Eq (difference empty_set (skS.0 0 a)) empty_set)) True % 3.65/3.89 Clause #15 (by clausification #[14]): ∀ (a : Iota), Eq (Eq (difference empty_set (skS.0 0 a)) empty_set) False % 3.65/3.89 Clause #16 (by clausification #[15]): ∀ (a : Iota), Ne (difference empty_set (skS.0 0 a)) empty_set % 3.65/3.89 Clause #24 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (Eq (difference a C) empty_set) (subset a C)) True % 3.65/3.89 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (Iff (Eq (difference a a_1) empty_set) (subset a a_1)) True % 3.65/3.89 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (Eq (difference a a_1) empty_set) True) (Eq (subset a a_1) False) % 3.65/3.89 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (difference a a_1) empty_set) % 3.65/3.89 Clause #29 (by superposition #[28, 10]): ∀ (a : Iota), Or (Eq (difference empty_set a) empty_set) (Eq False True) % 3.65/3.89 Clause #33 (by clausification #[29]): ∀ (a : Iota), Eq (difference empty_set a) empty_set % 3.65/3.89 Clause #35 (by backward contextual literal cutting #[33, 16]): False % 3.65/3.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------