%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN929+1 : TPTP v9.2.0. Released v3.1.0. % 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 08:08:15 PM UTC 2025 % Result : Theorem 3.45s 3.63s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SYN929+1 : TPTP v9.2.0. Released v3.1.0. % 0.04/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 15:20:53 EDT 2025 % 0.13/0.35 % CPUTime : % 3.45/3.63 SZS status Theorem for theBenchmark.p % 3.45/3.63 SZS output start Proof for theBenchmark.p % 3.45/3.63 Clause #0 (by assumption #[]): Eq (Not (Not (Exists fun Y => p Y) → ∀ (Y : Iota), (Exists fun X => p X) → p Y)) True % 3.45/3.63 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Not (Exists p) → ∀ (Y : Iota), Exists p → p Y)) True % 3.45/3.63 Clause #2 (by clausification #[1]): Eq (Not (Exists p) → ∀ (Y : Iota), Exists p → p Y) False % 3.45/3.63 Clause #3 (by clausification #[2]): Eq (Not (Exists p)) True % 3.45/3.63 Clause #4 (by clausification #[2]): Eq (∀ (Y : Iota), Exists p → p Y) False % 3.45/3.63 Clause #5 (by clausification #[3]): Eq (Exists p) False % 3.45/3.63 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (p a) False % 3.45/3.63 Clause #7 (by clausification #[4]): ∀ (a : Iota), Eq (Not (Exists p → p (skS.0 0 a))) True % 3.45/3.63 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (Exists p → p (skS.0 0 a)) False % 3.45/3.63 Clause #9 (by clausification #[8]): Eq (Exists p) True % 3.45/3.63 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (p (skS.0 1 a)) True % 3.45/3.63 Clause #12 (by superposition #[11, 6]): Eq True False % 3.45/3.63 Clause #13 (by clausification #[12]): False % 3.45/3.63 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------