%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU918^5 : 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 08:02:38 PM UTC 2025 % Result : Theorem 3.42s 3.68s % Output : Proof 3.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU918^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.14 % Command : duper %s % 0.14/0.36 % Computer : n001.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 : Fri Oct 3 04:23:08 EDT 2025 % 0.14/0.36 % CPUTime : % 3.42/3.68 SZS status Theorem for theBenchmark.p % 3.42/3.68 SZS output start Proof for theBenchmark.p % 3.42/3.68 Clause #0 (by assumption #[]): Eq (Not (Ne a b → Not (∀ (Xf Xg : Iota → Iota), Eq (fun Xx => Xf (Xg Xx)) fun Xx => Xg (Xf Xx)))) True % 3.42/3.68 Clause #1 (by clausification #[0]): Eq (Ne a b → Not (∀ (Xf Xg : Iota → Iota), Eq (fun Xx => Xf (Xg Xx)) fun Xx => Xg (Xf Xx))) False % 3.42/3.68 Clause #2 (by clausification #[1]): Eq (Ne a b) True % 3.42/3.68 Clause #3 (by clausification #[1]): Eq (Not (∀ (Xf Xg : Iota → Iota), Eq (fun Xx => Xf (Xg Xx)) fun Xx => Xg (Xf Xx))) False % 3.42/3.68 Clause #4 (by clausification #[2]): Ne a b % 3.42/3.68 Clause #5 (by clausification #[3]): Eq (∀ (Xf Xg : Iota → Iota), Eq (fun Xx => Xf (Xg Xx)) fun Xx => Xg (Xf Xx)) True % 3.42/3.68 Clause #6 (by clausification #[5]): ∀ (a : Iota → Iota), Eq (∀ (Xg : Iota → Iota), Eq (fun Xx => a (Xg Xx)) fun Xx => Xg (a Xx)) True % 3.42/3.68 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota → Iota), Eq (Eq (fun Xx => a (a_1 Xx)) fun Xx => a_1 (a Xx)) True % 3.42/3.68 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota → Iota), Eq (fun Xx => a (a_1 Xx)) fun Xx => a_1 (a Xx) % 3.42/3.68 Clause #9 (by argument congruence #[8]): ∀ (a a_1 : Iota → Iota) (a_2 : Iota), Eq ((fun Xx => a (a_1 Xx)) a_2) ((fun Xx => a_1 (a Xx)) a_2) % 3.42/3.68 Clause #10 (by betaEtaReduce #[9]): ∀ (a a_1 : Iota → Iota) (a_2 : Iota), Eq (a (a_1 a_2)) (a_1 (a a_2)) % 3.42/3.68 Clause #11 (by superposition #[10, 4]): ∀ (a_1 : Iota → Iota), Ne a (a_1 b) % 3.42/3.68 Clause #14 (by equality resolution #[11]): False % 3.42/3.68 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------