%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET061+1 : TPTP v9.2.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 07:59:31 PM UTC 2025 % Result : Theorem 3.96s 4.15s % Output : Proof 3.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SET061+1 : TPTP v9.2.0. Bugfixed v5.4.0. % 0.08/0.14 % Command : duper %s % 0.14/0.36 % Computer : n006.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Oct 2 14:34:53 EDT 2025 % 0.14/0.36 % CPUTime : % 3.96/4.15 SZS status Theorem for theBenchmark.p % 3.96/4.15 SZS output start Proof for theBenchmark.p % 3.96/4.15 Clause #15 (by assumption #[]): Eq (∀ (X : Iota), Not (member X null_class)) True % 3.96/4.15 Clause #43 (by assumption #[]): Eq (Not (Exists fun X => ∀ (Z : Iota), Not (member Z X))) True % 3.96/4.15 Clause #45 (by clausification #[15]): ∀ (a : Iota), Eq (Not (member a null_class)) True % 3.96/4.15 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (member a null_class) False % 3.96/4.15 Clause #214 (by clausification #[43]): Eq (Exists fun X => ∀ (Z : Iota), Not (member Z X)) False % 3.96/4.15 Clause #215 (by clausification #[214]): ∀ (a : Iota), Eq (∀ (Z : Iota), Not (member Z a)) False % 3.96/4.15 Clause #216 (by clausification #[215]): ∀ (a a_1 : Iota), Eq (Not (Not (member (skS.0 1 a a_1) a))) True % 3.96/4.15 Clause #217 (by clausification #[216]): ∀ (a a_1 : Iota), Eq (Not (member (skS.0 1 a a_1) a)) False % 3.96/4.15 Clause #218 (by clausification #[217]): ∀ (a a_1 : Iota), Eq (member (skS.0 1 a a_1) a) True % 3.96/4.15 Clause #219 (by superposition #[218, 46]): Eq True False % 3.96/4.15 Clause #226 (by clausification #[219]): False % 3.96/4.15 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------