%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU122+2 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 08:00:54 PM UTC 2025 % Result : Theorem 3.62s 3.77s % Output : Proof 3.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU122+2 : TPTP v9.2.0. Released v3.3.0. % 0.07/0.14 % Command : duper %s % 0.15/0.35 % Computer : n001.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Fri Oct 3 04:55:38 EDT 2025 % 0.15/0.35 % CPUTime : % 3.62/3.77 SZS status Theorem for theBenchmark.p % 3.62/3.77 SZS output start Proof for theBenchmark.p % 3.62/3.77 Clause #3 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (C : Iota), in C A → in C B)) True % 3.62/3.77 Clause #7 (by assumption #[]): Eq (empty empty_set) True % 3.62/3.77 Clause #14 (by assumption #[]): Eq (Not (∀ (A : Iota), subset empty_set A)) True % 3.62/3.77 Clause #18 (by assumption #[]): Eq (∀ (A B : Iota), Not (And (in A B) (empty B))) True % 3.62/3.77 Clause #20 (by clausification #[14]): Eq (∀ (A : Iota), subset empty_set A) False % 3.62/3.77 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (Not (subset empty_set (skS.0 0 a))) True % 3.62/3.77 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (subset empty_set (skS.0 0 a)) False % 3.62/3.77 Clause #55 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (B : Iota), Not (And (in a B) (empty B))) True % 3.62/3.77 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota), Eq (Not (And (in a a_1) (empty a_1))) True % 3.62/3.77 Clause #57 (by clausification #[56]): ∀ (a a_1 : Iota), Eq (And (in a a_1) (empty a_1)) False % 3.62/3.77 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Or (Eq (in a a_1) False) (Eq (empty a_1) False) % 3.62/3.77 Clause #60 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (C : Iota), in C a → in C B)) True % 3.62/3.77 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (C : Iota), in C a → in C a_1)) True % 3.62/3.77 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (C : Iota), in C a → in C a_1) False) % 3.62/3.77 Clause #64 (by clausification #[62]): ∀ (a a_1 a_2 : Iota), % 3.62/3.77 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 3 a a_1 a_2) a → in (skS.0 3 a a_1 a_2) a_1)) True) % 3.62/3.77 Clause #65 (by clausification #[64]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 3 a a_1 a_2) a → in (skS.0 3 a a_1 a_2) a_1) False) % 3.62/3.77 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 3 a a_1 a_2) a) True) % 3.62/3.77 Clause #69 (by superposition #[66, 58]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Or (Eq True False) (Eq (empty a) False)) % 3.62/3.77 Clause #83 (by clausification #[69]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (empty a) False) % 3.62/3.77 Clause #84 (by superposition #[83, 7]): ∀ (a : Iota), Or (Eq (subset empty_set a) True) (Eq False True) % 3.62/3.77 Clause #85 (by clausification #[84]): ∀ (a : Iota), Eq (subset empty_set a) True % 3.62/3.77 Clause #86 (by superposition #[85, 22]): Eq True False % 3.62/3.77 Clause #89 (by clausification #[86]): False % 3.62/3.77 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------