%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU882^5 : TPTP v9.2.0. Released v4.0.0. % 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 08:02:35 PM UTC 2025 % Result : Theorem 4.09s 4.29s % Output : Proof 4.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU882^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.15 % Command : duper %s % 0.15/0.36 % Computer : n025.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Oct 3 06:26:38 EDT 2025 % 0.15/0.37 % CPUTime : % 4.09/4.29 SZS status Theorem for theBenchmark.p % 4.09/4.29 SZS output start Proof for theBenchmark.p % 4.09/4.29 Clause #0 (by assumption #[]): Eq (Not (∀ (Xy : Iota), Exists fun Xf => Exists fun Xx => Eq (Xf Xx) Xy)) True % 4.09/4.29 Clause #1 (by clausification #[0]): Eq (∀ (Xy : Iota), Exists fun Xf => Exists fun Xx => Eq (Xf Xx) Xy) False % 4.09/4.29 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Not (Exists fun Xf => Exists fun Xx => Eq (Xf Xx) (skS.0 0 a))) True % 4.09/4.29 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (Exists fun Xf => Exists fun Xx => Eq (Xf Xx) (skS.0 0 a)) False % 4.09/4.29 Clause #4 (by clausification #[3]): ∀ (a : Iota → Iota) (a_1 : Iota), Eq (Exists fun Xx => Eq (a Xx) (skS.0 0 a_1)) False % 4.09/4.29 Clause #5 (by clausification #[4]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Eq (Eq (a a_1) (skS.0 0 a_2)) False % 4.09/4.29 Clause #6 (by clausification #[5]): ∀ (a : Iota → Iota) (a_1 a_2 : Iota), Ne (a a_1) (skS.0 0 a_2) % 4.09/4.29 Clause #7 (by equality resolution #[6]): False % 4.09/4.29 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------