%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN953+1 : TPTP v9.2.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 08:08:18 PM UTC 2025 % Result : Theorem 3.67s 3.89s % Output : Proof 3.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.14 % Problem : SYN953+1 : TPTP v9.2.0. Released v3.1.0. % 0.13/0.15 % Command : duper %s % 0.13/0.36 % Computer : n010.cluster.edu % 0.13/0.36 % Model : x86_64 x86_64 % 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.36 % Memory : 8042.1875MB % 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.36 % CPULimit : 300 % 0.13/0.36 % WCLimit : 300 % 0.13/0.36 % DateTime : Thu Oct 2 15:36:38 EDT 2025 % 0.13/0.36 % CPUTime : % 3.67/3.89 SZS status Theorem for theBenchmark.p % 3.67/3.89 SZS output start Proof for theBenchmark.p % 3.67/3.89 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), p X → q X) → (∀ (X : Iota), p X) → ∀ (X : Iota), q X)) True % 3.67/3.89 Clause #1 (by clausification #[0]): Eq ((∀ (X : Iota), p X → q X) → (∀ (X : Iota), p X) → ∀ (X : Iota), q X) False % 3.67/3.89 Clause #2 (by clausification #[1]): Eq (∀ (X : Iota), p X → q X) True % 3.67/3.89 Clause #3 (by clausification #[1]): Eq ((∀ (X : Iota), p X) → ∀ (X : Iota), q X) False % 3.67/3.89 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (p a → q a) True % 3.67/3.89 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (p a) False) (Eq (q a) True) % 3.67/3.89 Clause #6 (by clausification #[3]): Eq (∀ (X : Iota), p X) True % 3.67/3.89 Clause #7 (by clausification #[3]): Eq (∀ (X : Iota), q X) False % 3.67/3.89 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (p a) True % 3.67/3.89 Clause #9 (by superposition #[8, 5]): ∀ (a : Iota), Or (Eq True False) (Eq (q a) True) % 3.67/3.89 Clause #10 (by clausification #[7]): ∀ (a : Iota), Eq (Not (q (skS.0 0 a))) True % 3.67/3.89 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (q (skS.0 0 a)) False % 3.67/3.89 Clause #12 (by clausification #[9]): ∀ (a : Iota), Eq (q a) True % 3.67/3.89 Clause #14 (by superposition #[12, 11]): Eq True False % 3.67/3.89 Clause #15 (by clausification #[14]): False % 3.67/3.89 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------