%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU085+1 : TPTP v9.2.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 08:00:51 PM UTC 2025 % Result : Theorem 4.71s 4.93s % Output : Proof 4.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU085+1 : TPTP v9.2.0. Released v3.2.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n025.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 04:45:23 EDT 2025 % 0.13/0.34 % CPUTime : % 4.71/4.93 SZS status Theorem for theBenchmark.p % 4.71/4.93 SZS output start Proof for theBenchmark.p % 4.71/4.93 Clause #13 (by assumption #[]): Eq (∀ (A B : Iota), finite A → finite (set_difference A B)) True % 4.71/4.93 Clause #48 (by assumption #[]): Eq (Not (∀ (A B : Iota), finite A → finite (set_difference A B))) True % 4.71/4.93 Clause #127 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (B : Iota), finite a → finite (set_difference a B)) True % 4.71/4.93 Clause #128 (by clausification #[127]): ∀ (a a_1 : Iota), Eq (finite a → finite (set_difference a a_1)) True % 4.71/4.93 Clause #129 (by clausification #[128]): ∀ (a a_1 : Iota), Or (Eq (finite a) False) (Eq (finite (set_difference a a_1)) True) % 4.71/4.93 Clause #187 (by clausification #[48]): Eq (∀ (A B : Iota), finite A → finite (set_difference A B)) False % 4.71/4.93 Clause #188 (by clausification #[187]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), finite (skS.0 3 a) → finite (set_difference (skS.0 3 a) B))) True % 4.71/4.93 Clause #189 (by clausification #[188]): ∀ (a : Iota), Eq (∀ (B : Iota), finite (skS.0 3 a) → finite (set_difference (skS.0 3 a) B)) False % 4.71/4.93 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Not (finite (skS.0 3 a) → finite (set_difference (skS.0 3 a) (skS.0 4 a a_1)))) True % 4.71/4.93 Clause #191 (by clausification #[190]): ∀ (a a_1 : Iota), Eq (finite (skS.0 3 a) → finite (set_difference (skS.0 3 a) (skS.0 4 a a_1))) False % 4.71/4.93 Clause #192 (by clausification #[191]): ∀ (a : Iota), Eq (finite (skS.0 3 a)) True % 4.71/4.93 Clause #193 (by clausification #[191]): ∀ (a a_1 : Iota), Eq (finite (set_difference (skS.0 3 a) (skS.0 4 a a_1))) False % 4.71/4.93 Clause #195 (by superposition #[192, 129]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (finite (set_difference (skS.0 3 a) a_1)) True) % 4.71/4.93 Clause #428 (by clausification #[195]): ∀ (a a_1 : Iota), Eq (finite (set_difference (skS.0 3 a) a_1)) True % 4.71/4.93 Clause #526 (by superposition #[193, 428]): Eq True False % 4.71/4.93 Clause #527 (by clausification #[526]): False % 4.71/4.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------