%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN928+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n024.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 08:08:15 PM UTC 2025 % Result : Theorem 5.28s 5.49s % Output : Proof 5.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : SYN928+1 : TPTP v9.2.0. Released v3.1.0. % 0.05/0.11 % Command : duper %s % 0.10/0.31 % Computer : n024.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 300 % 0.10/0.31 % DateTime : Thu Oct 2 15:15:53 EDT 2025 % 0.10/0.32 % CPUTime : % 5.28/5.49 SZS status Theorem for theBenchmark.p % 5.28/5.49 SZS output start Proof for theBenchmark.p % 5.28/5.49 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), p X) → Exists fun X => p X)) True % 5.28/5.49 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (X : Iota), p X) → Exists p)) True % 5.28/5.49 Clause #2 (by clausification #[1]): Eq ((∀ (X : Iota), p X) → Exists p) False % 5.28/5.49 Clause #3 (by clausification #[2]): Eq (∀ (X : Iota), p X) True % 5.28/5.49 Clause #4 (by clausification #[2]): Eq (Exists p) False % 5.28/5.49 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (p a) True % 5.28/5.49 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (p a) False % 5.28/5.49 Clause #7 (by superposition #[6, 5]): Eq False True % 5.28/5.49 Clause #8 (by clausification #[7]): False % 5.28/5.49 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------