%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SET045^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 07:59:28 PM UTC 2025 % Result : Theorem 3.50s 3.65s % Output : Proof 3.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET045^5 : TPTP v9.2.0. Released v4.0.0. % 0.12/0.13 % Command : duper %s % 0.14/0.34 % Computer : n001.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Thu Oct 2 13:37:53 EDT 2025 % 0.14/0.34 % CPUTime : % 3.50/3.65 SZS status Theorem for theBenchmark.p % 3.50/3.65 SZS output start Proof for theBenchmark.p % 3.50/3.65 Clause #0 (by assumption #[]): Eq (Not (Exists fun U => ∀ (V : a), Eq (U V) cA)) True % 3.50/3.65 Clause #1 (by clausification #[0]): Eq (Exists fun U => ∀ (V : a), Eq (U V) cA) False % 3.50/3.65 Clause #2 (by clausification #[1]): ∀ (a_1 : a → b), Eq (∀ (V : a), Eq (a_1 V) cA) False % 3.50/3.65 Clause #3 (by clausification #[2]): ∀ (a_1 : a → b) (a_2 : a), Eq (Not (Eq (a_1 (skS.0 0 a_1 a_2)) cA)) True % 3.50/3.65 Clause #4 (by clausification #[3]): ∀ (a_1 : a → b) (a_2 : a), Eq (Eq (a_1 (skS.0 0 a_1 a_2)) cA) False % 3.50/3.65 Clause #5 (by clausification #[4]): ∀ (a_1 : a → b) (a_2 : a), Ne (a_1 (skS.0 0 a_1 a_2)) cA % 3.50/3.65 Clause #6 (by equality resolution #[5]): False % 3.50/3.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------