%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU294+1 : TPTP v9.2.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 5.47s 5.67s % Output : Proof 5.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SEU294+1 : TPTP v9.2.0. Released v3.3.0. % 0.08/0.13 % Command : duper %s % 0.14/0.35 % Computer : n017.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 05:50:08 EDT 2025 % 0.14/0.35 % CPUTime : % 5.47/5.67 SZS status Theorem for theBenchmark.p % 5.47/5.67 SZS output start Proof for theBenchmark.p % 5.47/5.67 Clause #7 (by assumption #[]): Eq (∀ (A : Iota), finite A → ∀ (B : Iota), element B (powerset A) → finite B) True % 5.47/5.67 Clause #37 (by assumption #[]): Eq (Not (∀ (A B : Iota), And (subset A B) (finite B) → finite A)) True % 5.47/5.67 Clause #40 (by assumption #[]): Eq (∀ (A B : Iota), Iff (element A (powerset B)) (subset A B)) True % 5.47/5.67 Clause #90 (by clausification #[7]): ∀ (a : Iota), Eq (finite a → ∀ (B : Iota), element B (powerset a) → finite B) True % 5.47/5.67 Clause #91 (by clausification #[90]): ∀ (a : Iota), Or (Eq (finite a) False) (Eq (∀ (B : Iota), element B (powerset a) → finite B) True) % 5.47/5.67 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota), Or (Eq (finite a) False) (Eq (element a_1 (powerset a) → finite a_1) True) % 5.47/5.67 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (finite a) False) (Or (Eq (element a_1 (powerset a)) False) (Eq (finite a_1) True)) % 5.47/5.67 Clause #100 (by clausification #[37]): Eq (∀ (A B : Iota), And (subset A B) (finite B) → finite A) False % 5.47/5.67 Clause #101 (by clausification #[100]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), And (subset (skS.0 2 a) B) (finite B) → finite (skS.0 2 a))) True % 5.47/5.67 Clause #102 (by clausification #[101]): ∀ (a : Iota), Eq (∀ (B : Iota), And (subset (skS.0 2 a) B) (finite B) → finite (skS.0 2 a)) False % 5.47/5.67 Clause #103 (by clausification #[102]): ∀ (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 % 5.47/5.67 Clause #104 (by clausification #[103]): ∀ (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 % 5.47/5.67 Clause #105 (by clausification #[104]): ∀ (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 % 5.47/5.67 Clause #106 (by clausification #[104]): ∀ (a : Iota), Eq (finite (skS.0 2 a)) False % 5.47/5.67 Clause #107 (by clausification #[105]): ∀ (a a_1 : Iota), Eq (finite (skS.0 3 a a_1)) True % 5.47/5.67 Clause #108 (by clausification #[105]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True % 5.47/5.67 Clause #109 (by superposition #[107, 93]): ∀ (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)) % 5.47/5.67 Clause #229 (by clausification #[40]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (element a (powerset B)) (subset a B)) True % 5.47/5.67 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), Eq (Iff (element a (powerset a_1)) (subset a a_1)) True % 5.47/5.67 Clause #231 (by clausification #[230]): ∀ (a a_1 : Iota), Or (Eq (element a (powerset a_1)) True) (Eq (subset a a_1) False) % 5.47/5.67 Clause #357 (by superposition #[108, 231]): ∀ (a a_1 : Iota), Or (Eq (element (skS.0 2 a) (powerset (skS.0 3 a a_1))) True) (Eq False True) % 5.47/5.67 Clause #364 (by clausification #[109]): ∀ (a a_1 a_2 : Iota), Or (Eq (element a (powerset (skS.0 3 a_1 a_2))) False) (Eq (finite a) True) % 5.47/5.67 Clause #603 (by clausification #[357]): ∀ (a a_1 : Iota), Eq (element (skS.0 2 a) (powerset (skS.0 3 a a_1))) True % 5.47/5.67 Clause #605 (by superposition #[603, 364]): ∀ (a : Iota), Or (Eq True False) (Eq (finite (skS.0 2 a)) True) % 5.47/5.67 Clause #607 (by clausification #[605]): ∀ (a : Iota), Eq (finite (skS.0 2 a)) True % 5.47/5.67 Clause #608 (by superposition #[607, 106]): Eq True False % 5.47/5.67 Clause #610 (by clausification #[608]): False % 5.47/5.67 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------