%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN378+1 : TPTP v9.2.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n026.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 08:07:32 PM UTC 2025 % Result : Theorem 3.35s 3.55s % Output : Proof 3.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN378+1 : TPTP v9.2.0. Released v2.0.0. % 0.07/0.14 % Command : duper %s % 0.13/0.35 % Computer : n026.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Thu Oct 2 15:35:08 EDT 2025 % 0.13/0.35 % CPUTime : % 3.35/3.55 SZS status Theorem for theBenchmark.p % 3.35/3.55 SZS output start Proof for theBenchmark.p % 3.35/3.55 Clause #0 (by assumption #[]): Eq (Not ((∀ (X : Iota), big_p X) → Or (Not (Exists fun Y => big_q Y)) (Exists fun Z => big_p Z → big_q Z))) True % 3.35/3.55 Clause #1 (by betaEtaReduce #[0]): Eq (Not ((∀ (X : Iota), big_p X) → Or (Not (Exists big_q)) (Exists fun Z => big_p Z → big_q Z))) True % 3.35/3.55 Clause #2 (by clausification #[1]): Eq ((∀ (X : Iota), big_p X) → Or (Not (Exists big_q)) (Exists fun Z => big_p Z → big_q Z)) False % 3.35/3.55 Clause #4 (by clausification #[2]): Eq (Or (Not (Exists big_q)) (Exists fun Z => big_p Z → big_q Z)) False % 3.35/3.55 Clause #6 (by clausification #[4]): Eq (Exists fun Z => big_p Z → big_q Z) False % 3.35/3.55 Clause #7 (by clausification #[4]): Eq (Not (Exists big_q)) False % 3.35/3.55 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (big_p a → big_q a) False % 3.35/3.55 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (big_q a) False % 3.35/3.55 Clause #10 (by clausification #[7]): Eq (Exists big_q) True % 3.35/3.55 Clause #11 (by clausification #[10]): ∀ (a : Iota), Eq (big_q (skS.0 0 a)) True % 3.35/3.55 Clause #12 (by superposition #[11, 9]): Eq True False % 3.35/3.55 Clause #13 (by clausification #[12]): False % 3.35/3.55 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------