%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO380^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 08:08:58 PM UTC 2025 % Result : Theorem 3.46s 3.72s % Output : Proof 3.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYO380^5 : TPTP v9.2.0. Released v4.0.0. % 0.07/0.14 % Command : duper %s % 0.14/0.36 % Computer : n020.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 13:03:53 EDT 2025 % 0.14/0.36 % CPUTime : % 3.46/3.72 SZS status Theorem for theBenchmark.p % 3.46/3.72 SZS output start Proof for theBenchmark.p % 3.46/3.72 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xy => cR x Xy → Exists fun Xx0 => cR Xy Xx0)) True % 3.46/3.72 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Exists fun Xy => cR x Xy → Exists (cR Xy))) True % 3.46/3.72 Clause #2 (by clausification #[1]): Eq (Exists fun Xy => cR x Xy → Exists (cR Xy)) False % 3.46/3.72 Clause #3 (by clausification #[2]): ∀ (a : Iota), Eq (cR x a → Exists (cR a)) False % 3.46/3.72 Clause #4 (by clausification #[3]): ∀ (a : Iota), Eq (cR x a) True % 3.46/3.72 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (Exists (cR a)) False % 3.46/3.72 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (cR a a_1) False % 3.46/3.72 Clause #7 (by superposition #[6, 4]): Eq False True % 3.46/3.72 Clause #8 (by clausification #[7]): False % 3.46/3.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------