%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU294+3 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 08:01:19 PM UTC 2025 % Result : Theorem 6.38s 6.60s % Output : Proof 6.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU294+3 : TPTP v9.2.0. Released v3.2.0. % 0.12/0.13 % Command : duper %s % 0.13/0.34 % Computer : n005.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 % 0.20/0.34 % CPULimit : 300 % 0.20/0.34 % WCLimit : 300 % 0.20/0.34 % DateTime : Fri Oct 3 06:14:53 EDT 2025 % 0.20/0.35 % CPUTime : % 6.38/6.60 SZS status Theorem for theBenchmark.p % 6.38/6.60 SZS output start Proof for theBenchmark.p % 6.38/6.60 Clause #7 (by assumption #[]): Eq (∀ (A : Iota), finite A → ∀ (B : Iota), element B (powerset A) → finite B) True % 6.38/6.60 Clause #45 (by assumption #[]): Eq (Not (∀ (A B : Iota), And (subset A B) (finite B) → finite A)) True % 6.38/6.60 Clause #48 (by assumption #[]): Eq (∀ (A B : Iota), Iff (element A (powerset B)) (subset A B)) True % 6.38/6.60 Clause #101 (by clausification #[7]): ∀ (a : Iota), Eq (finite a → ∀ (B : Iota), element B (powerset a) → finite B) True % 6.38/6.60 Clause #102 (by clausification #[101]): ∀ (a : Iota), Or (Eq (finite a) False) (Eq (∀ (B : Iota), element B (powerset a) → finite B) True) % 6.38/6.60 Clause #103 (by clausification #[102]): ∀ (a a_1 : Iota), Or (Eq (finite a) False) (Eq (element a_1 (powerset a) → finite a_1) True) % 6.38/6.60 Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota), Or (Eq (finite a) False) (Or (Eq (element a_1 (powerset a)) False) (Eq (finite a_1) True)) % 6.38/6.60 Clause #106 (by clausification #[45]): Eq (∀ (A B : Iota), And (subset A B) (finite B) → finite A) False % 6.38/6.60 Clause #107 (by clausification #[106]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), And (subset (skS.0 2 a) B) (finite B) → finite (skS.0 2 a))) True % 6.38/6.60 Clause #108 (by clausification #[107]): ∀ (a : Iota), Eq (∀ (B : Iota), And (subset (skS.0 2 a) B) (finite B) → finite (skS.0 2 a)) False % 6.38/6.60 Clause #109 (by clausification #[108]): ∀ (a a_1 : Iota), Eq (Not (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (finite (skS.0 3 a a_1)) → finite (skS.0 2 a))) True % 6.38/6.60 Clause #110 (by clausification #[109]): ∀ (a a_1 : Iota), Eq (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (finite (skS.0 3 a a_1)) → finite (skS.0 2 a)) False % 6.38/6.60 Clause #111 (by clausification #[110]): ∀ (a a_1 : Iota), Eq (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (finite (skS.0 3 a a_1))) True % 6.38/6.60 Clause #112 (by clausification #[110]): ∀ (a : Iota), Eq (finite (skS.0 2 a)) False % 6.38/6.60 Clause #113 (by clausification #[111]): ∀ (a a_1 : Iota), Eq (finite (skS.0 3 a a_1)) True % 6.38/6.60 Clause #114 (by clausification #[111]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True % 6.38/6.60 Clause #115 (by superposition #[113, 104]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (element a (powerset (skS.0 3 a_1 a_2))) False) (Eq (finite a) True)) % 6.38/6.60 Clause #230 (by clausification #[48]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (element a (powerset B)) (subset a B)) True % 6.38/6.60 Clause #231 (by clausification #[230]): ∀ (a a_1 : Iota), Eq (Iff (element a (powerset a_1)) (subset a a_1)) True % 6.38/6.60 Clause #232 (by clausification #[231]): ∀ (a a_1 : Iota), Or (Eq (element a (powerset a_1)) True) (Eq (subset a a_1) False) % 6.38/6.60 Clause #417 (by superposition #[114, 232]): ∀ (a a_1 : Iota), Or (Eq (element (skS.0 2 a) (powerset (skS.0 3 a a_1))) True) (Eq False True) % 6.38/6.60 Clause #426 (by clausification #[115]): ∀ (a a_1 a_2 : Iota), Or (Eq (element a (powerset (skS.0 3 a_1 a_2))) False) (Eq (finite a) True) % 6.38/6.60 Clause #755 (by clausification #[417]): ∀ (a a_1 : Iota), Eq (element (skS.0 2 a) (powerset (skS.0 3 a a_1))) True % 6.38/6.60 Clause #757 (by superposition #[755, 426]): ∀ (a : Iota), Or (Eq True False) (Eq (finite (skS.0 2 a)) True) % 6.38/6.60 Clause #759 (by clausification #[757]): ∀ (a : Iota), Eq (finite (skS.0 2 a)) True % 6.38/6.60 Clause #760 (by superposition #[759, 112]): Eq True False % 6.38/6.60 Clause #762 (by clausification #[760]): False % 6.38/6.60 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------