%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN974+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n006.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 08:08:20 PM UTC 2025 % Result : Theorem 3.39s 3.55s % Output : Proof 3.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN974+1 : TPTP v9.2.0. Released v3.1.0. % 0.13/0.14 % Command : duper %s % 0.15/0.35 % Computer : n006.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Thu Oct 2 15:18:08 EDT 2025 % 0.15/0.35 % CPUTime : % 3.39/3.55 SZS status Theorem for theBenchmark.p % 3.39/3.55 SZS output start Proof for theBenchmark.p % 3.39/3.55 Clause #0 (by assumption #[]): Eq (Not ((Exists fun X => p X) → Exists fun Y => p Y)) True % 3.39/3.55 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Exists p → Exists p)) True % 3.39/3.55 Clause #2 (by clausification #[1]): Eq (Exists p → Exists p) False % 3.39/3.55 Clause #3 (by clausification #[2]): Eq (Exists p) True % 3.39/3.55 Clause #4 (by clausification #[2]): Eq (Exists p) False % 3.39/3.55 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (p (skS.0 0 a)) True % 3.39/3.55 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (p a) False % 3.39/3.55 Clause #7 (by superposition #[6, 5]): Eq False True % 3.39/3.55 Clause #8 (by clausification #[7]): False % 3.39/3.55 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------