%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO194^5 : 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 08:08:43 PM UTC 2025 % Result : Theorem 5.42s 5.64s % Output : Proof 5.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SYO194^5 : TPTP v9.2.0. Released v4.0.0. % 0.10/0.12 % Command : duper %s % 0.12/0.33 % Computer : n001.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Oct 3 13:16:53 EDT 2025 % 0.12/0.33 % CPUTime : % 5.42/5.64 SZS status Theorem for theBenchmark.p % 5.42/5.64 SZS output start Proof for theBenchmark.p % 5.42/5.64 Clause #0 (by assumption #[]): Eq (Not (∀ (Xx : Iota), Exists fun Xf => Eq (Xf Xx) Xx)) True % 5.42/5.64 Clause #1 (by clausification #[0]): Eq (∀ (Xx : Iota), Exists fun Xf => Eq (Xf Xx) Xx) False % 5.42/5.64 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (Not (Exists fun Xf => Eq (Xf (skS.0 0 a)) (skS.0 0 a))) True % 5.42/5.64 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (Exists fun Xf => Eq (Xf (skS.0 0 a)) (skS.0 0 a)) False % 5.42/5.64 Clause #4 (by clausification #[3]): ∀ (a : Iota → Iota) (a_1 : Iota), Eq (Eq (a (skS.0 0 a_1)) (skS.0 0 a_1)) False % 5.42/5.64 Clause #5 (by clausification #[4]): ∀ (a : Iota → Iota) (a_1 : Iota), Ne (a (skS.0 0 a_1)) (skS.0 0 a_1) % 5.42/5.64 Clause #6 (by equality resolution #[5]): False % 5.42/5.64 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------