%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET687+4 : TPTP v9.2.0. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 08:00:23 PM UTC 2025 % Result : Theorem 4.04s 4.28s % Output : Proof 4.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SET687+4 : TPTP v9.2.0. Released v2.2.0. % 0.08/0.16 % Command : duper %s % 0.14/0.38 % Computer : n024.cluster.edu % 0.14/0.38 % Model : x86_64 x86_64 % 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.38 % Memory : 8042.1875MB % 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.38 % CPULimit : 300 % 0.14/0.38 % WCLimit : 300 % 0.14/0.38 % DateTime : Thu Oct 2 14:06:38 EDT 2025 % 0.14/0.38 % CPUTime : % 4.04/4.28 SZS status Theorem for theBenchmark.p % 4.04/4.28 SZS output start Proof for theBenchmark.p % 4.04/4.28 Clause #0 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (X : Iota), member X A → member X B)) True % 4.04/4.28 Clause #11 (by assumption #[]): Eq (Not (∀ (A : Iota), subset A A)) True % 4.04/4.28 Clause #12 (by clausification #[11]): Eq (∀ (A : Iota), subset A A) False % 4.04/4.28 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (Not (subset (skS.0 0 a) (skS.0 0 a))) True % 4.04/4.28 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (subset (skS.0 0 a) (skS.0 0 a)) False % 4.04/4.28 Clause #27 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (X : Iota), member X a → member X B)) True % 4.04/4.28 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (X : Iota), member X a → member X a_1)) True % 4.04/4.28 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (X : Iota), member X a → member X a_1) False) % 4.04/4.28 Clause #31 (by clausification #[29]): ∀ (a a_1 a_2 : Iota), % 4.04/4.28 Or (Eq (subset a a_1) True) (Eq (Not (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1)) True) % 4.04/4.28 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : Iota), % 4.04/4.28 Or (Eq (subset a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a → member (skS.0 1 a a_1 a_2) a_1) False) % 4.04/4.28 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a) True) % 4.04/4.28 Clause #34 (by clausification #[32]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (member (skS.0 1 a a_1 a_2) a_1) False) % 4.04/4.28 Clause #254 (by superposition #[34, 33]): ∀ (a : Iota), Or (Eq (subset a a) True) (Or (Eq (subset a a) True) (Eq False True)) % 4.04/4.28 Clause #329 (by clausification #[254]): ∀ (a : Iota), Or (Eq (subset a a) True) (Eq (subset a a) True) % 4.04/4.28 Clause #330 (by eliminate duplicate literals #[329]): ∀ (a : Iota), Eq (subset a a) True % 4.04/4.28 Clause #331 (by superposition #[330, 14]): Eq True False % 4.04/4.28 Clause #336 (by clausification #[331]): False % 4.04/4.28 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------