%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN395+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.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 4.30s 4.50s % Output : Proof 4.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN395+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.13 % Command : duper %s % 0.12/0.34 % Computer : n025.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Oct 2 15:45:38 EDT 2025 % 0.12/0.34 % CPUTime : % 4.30/4.50 SZS status Theorem for theBenchmark.p % 4.30/4.50 SZS output start Proof for theBenchmark.p % 4.30/4.50 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), f X → g X) → (Exists fun Y => f Y) → Exists fun Z => g Z)) True % 4.30/4.50 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (X : Iota), f X → g X) → Exists f → Exists g)) True % 4.30/4.50 Clause #2 (by clausification #[1]): Eq ((∀ (X : Iota), f X → g X) → Exists f → Exists g) False % 4.30/4.50 Clause #3 (by clausification #[2]): Eq (∀ (X : Iota), f X → g X) True % 4.30/4.50 Clause #4 (by clausification #[2]): Eq (Exists f → Exists g) False % 4.30/4.50 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (f a → g a) True % 4.30/4.50 Clause #6 (by clausification #[5]): ∀ (a : Iota), Or (Eq (f a) False) (Eq (g a) True) % 4.30/4.50 Clause #7 (by clausification #[4]): Eq (Exists f) True % 4.30/4.50 Clause #8 (by clausification #[4]): Eq (Exists g) False % 4.30/4.50 Clause #9 (by clausification #[7]): ∀ (a : Iota), Eq (f (skS.0 0 a)) True % 4.30/4.50 Clause #10 (by superposition #[9, 6]): ∀ (a : Iota), Or (Eq True False) (Eq (g (skS.0 0 a)) True) % 4.30/4.50 Clause #11 (by clausification #[8]): ∀ (a : Iota), Eq (g a) False % 4.30/4.50 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (g (skS.0 0 a)) True % 4.30/4.50 Clause #13 (by superposition #[12, 11]): Eq True False % 4.30/4.50 Clause #14 (by clausification #[13]): False % 4.30/4.50 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------