%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO551^1 : TPTP v9.2.0. Released v5.2.0. % 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 08:09:16 PM UTC 2025 % Result : Theorem 3.70s 3.89s % Output : Proof 3.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO551^1 : TPTP v9.2.0. Released v5.2.0. % 0.12/0.14 % Command : duper %s % 0.14/0.35 % Computer : n001.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 13:24:38 EDT 2025 % 0.14/0.35 % CPUTime : % 3.70/3.89 SZS status Theorem for theBenchmark.p % 3.70/3.89 SZS output start Proof for theBenchmark.p % 3.70/3.89 Clause #0 (by assumption #[]): Eq (Not (Exists fun F => ∀ (X : Iota → Iota), Eq (F X) X)) True % 3.70/3.89 Clause #1 (by clausification #[0]): Eq (Exists fun F => ∀ (X : Iota → Iota), Eq (F X) X) False % 3.70/3.89 Clause #2 (by clausification #[1]): ∀ (a : (Iota → Iota) → Iota → Iota), Eq (∀ (X : Iota → Iota), Eq (a X) X) False % 3.70/3.89 Clause #3 (by clausification #[2]): ∀ (a : (Iota → Iota) → Iota → Iota) (a_1 : Iota → Iota), Eq (Not (Eq (a (skS.0 0 a a_1)) (skS.0 0 a a_1))) True % 3.70/3.89 Clause #4 (by clausification #[3]): ∀ (a : (Iota → Iota) → Iota → Iota) (a_1 : Iota → Iota), Eq (Eq (a (skS.0 0 a a_1)) (skS.0 0 a a_1)) False % 3.70/3.89 Clause #5 (by clausification #[4]): ∀ (a : (Iota → Iota) → Iota → Iota) (a_1 : Iota → Iota), Ne (a (skS.0 0 a a_1)) (skS.0 0 a a_1) % 3.70/3.89 Clause #6 (by equality resolution #[5]): False % 3.70/3.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------