%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN394+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n031.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 08:07:35 PM UTC 2025 % Result : Theorem 3.42s 3.64s % Output : Proof 3.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYN394+1 : TPTP v9.2.0. Released v2.0.0. % 0.08/0.13 % Command : duper %s % 0.13/0.34 % Computer : n031.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 15:45:38 EDT 2025 % 0.13/0.34 % CPUTime : % 3.42/3.64 SZS status Theorem for theBenchmark.p % 3.42/3.64 SZS output start Proof for theBenchmark.p % 3.42/3.64 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), f X → g X) → (∀ (Y : Iota), f Y) → ∀ (Z : Iota), g Z)) True % 3.42/3.64 Clause #1 (by clausification #[0]): Eq ((∀ (X : Iota), f X → g X) → (∀ (Y : Iota), f Y) → ∀ (Z : Iota), g Z) False % 3.42/3.64 Clause #2 (by clausification #[1]): Eq (∀ (X : Iota), f X → g X) True % 3.42/3.64 Clause #3 (by clausification #[1]): Eq ((∀ (Y : Iota), f Y) → ∀ (Z : Iota), g Z) False % 3.42/3.64 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (f a → g a) True % 3.42/3.64 Clause #5 (by clausification #[4]): ∀ (a : Iota), Or (Eq (f a) False) (Eq (g a) True) % 3.42/3.64 Clause #6 (by clausification #[3]): Eq (∀ (Y : Iota), f Y) True % 3.42/3.64 Clause #7 (by clausification #[3]): Eq (∀ (Z : Iota), g Z) False % 3.42/3.64 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (f a) True % 3.42/3.64 Clause #9 (by backward demodulation #[8, 5]): ∀ (a : Iota), Or (Eq True False) (Eq (g a) True) % 3.42/3.64 Clause #10 (by clausification #[7]): ∀ (a : Iota), Eq (Not (g (skS.0 0 a))) True % 3.42/3.64 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (g (skS.0 0 a)) False % 3.42/3.64 Clause #12 (by clausification #[9]): ∀ (a : Iota), Eq (g a) True % 3.42/3.64 Clause #13 (by superposition #[12, 11]): Eq True False % 3.42/3.64 Clause #14 (by clausification #[13]): False % 3.42/3.64 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------