%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU569^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 08:01:56 PM UTC 2025 % Result : Theorem 3.52s 3.68s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU569^2 : TPTP v9.2.0. Released v3.7.0. % 0.03/0.13 % Command : duper %s % 0.13/0.34 % Computer : n031.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 : Fri Oct 3 04:47:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.52/3.68 SZS status Theorem for theBenchmark.p % 3.52/3.68 SZS output start Proof for theBenchmark.p % 3.52/3.68 Clause #0 (by assumption #[]): Eq (Eq subsetI2 (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B)) True % 3.52/3.68 Clause #1 (by assumption #[]): Eq (Not (subsetI2 → ∀ (A : Iota), subset A A)) True % 3.52/3.68 Clause #2 (by clausification #[1]): Eq (subsetI2 → ∀ (A : Iota), subset A A) False % 3.52/3.68 Clause #3 (by clausification #[2]): Eq subsetI2 True % 3.52/3.68 Clause #4 (by clausification #[2]): Eq (∀ (A : Iota), subset A A) False % 3.52/3.68 Clause #5 (by clausification #[4]): ∀ (a : Iota), Eq (Not (subset (skS.0 0 a) (skS.0 0 a))) True % 3.52/3.68 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (subset (skS.0 0 a) (skS.0 0 a)) False % 3.52/3.68 Clause #7 (by clausification #[0]): Eq subsetI2 (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B) % 3.52/3.68 Clause #8 (by forward demodulation #[7, 3]): Eq True (∀ (A B : Iota), (∀ (Xx : Iota), in Xx A → in Xx B) → subset A B) % 3.52/3.68 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (B : Iota), (∀ (Xx : Iota), in Xx a → in Xx B) → subset a B) True % 3.52/3.68 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq ((∀ (Xx : Iota), in Xx a → in Xx a_1) → subset a a_1) True % 3.52/3.68 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xx : Iota), in Xx a → in Xx a_1) False) (Eq (subset a a_1) True) % 3.52/3.68 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), % 3.52/3.68 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 1 a a_1 a_2) a → in (skS.0 1 a a_1 a_2) a_1)) True) % 3.52/3.68 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 1 a a_1 a_2) a → in (skS.0 1 a a_1 a_2) a_1) False) % 3.52/3.68 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 1 a a_1 a_2) a) True) % 3.52/3.68 Clause #15 (by clausification #[13]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 1 a a_1 a_2) a_1) False) % 3.52/3.68 Clause #16 (by superposition #[15, 14]): ∀ (a : Iota), Or (Eq (subset a a) True) (Or (Eq (subset a a) True) (Eq False True)) % 3.52/3.68 Clause #17 (by clausification #[16]): ∀ (a : Iota), Or (Eq (subset a a) True) (Eq (subset a a) True) % 3.52/3.68 Clause #18 (by eliminate duplicate literals #[17]): ∀ (a : Iota), Eq (subset a a) True % 3.52/3.68 Clause #19 (by superposition #[18, 6]): Eq True False % 3.52/3.68 Clause #20 (by clausification #[19]): False % 3.52/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------