%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO140^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n017.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 08:08:39 PM UTC 2025 % Result : Theorem 3.99s 4.20s % Output : Proof 3.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SYO140^5 : TPTP v9.2.0. Released v4.0.0. % 0.04/0.15 % Command : duper %s % 0.14/0.36 % Computer : n017.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Fri Oct 3 13:58:08 EDT 2025 % 0.14/0.36 % CPUTime : % 3.99/4.20 SZS status Theorem for theBenchmark.p % 3.99/4.20 SZS output start Proof for theBenchmark.p % 3.99/4.20 Clause #0 (by assumption #[]): Eq (Not ((Exists fun Xx => cP Xx) → (∀ (Xx : Iota), cP Xx → cQ Xx) → Exists fun Xx => cQ Xx)) True % 3.99/4.20 Clause #1 (by betaEtaReduce #[0]): Eq (Not (Exists cP → (∀ (Xx : Iota), cP Xx → cQ Xx) → Exists cQ)) True % 3.99/4.20 Clause #2 (by clausification #[1]): Eq (Exists cP → (∀ (Xx : Iota), cP Xx → cQ Xx) → Exists cQ) False % 3.99/4.20 Clause #3 (by clausification #[2]): Eq (Exists cP) True % 3.99/4.20 Clause #4 (by clausification #[2]): Eq ((∀ (Xx : Iota), cP Xx → cQ Xx) → Exists cQ) False % 3.99/4.20 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (cP (skS.0 0 a)) True % 3.99/4.20 Clause #6 (by clausification #[4]): Eq (∀ (Xx : Iota), cP Xx → cQ Xx) True % 3.99/4.20 Clause #7 (by clausification #[4]): Eq (Exists cQ) False % 3.99/4.20 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (cP a → cQ a) True % 3.99/4.20 Clause #9 (by clausification #[8]): ∀ (a : Iota), Or (Eq (cP a) False) (Eq (cQ a) True) % 3.99/4.20 Clause #10 (by superposition #[9, 5]): ∀ (a : Iota), Or (Eq (cQ (skS.0 0 a)) True) (Eq False True) % 3.99/4.20 Clause #11 (by clausification #[7]): ∀ (a : Iota), Eq (cQ a) False % 3.99/4.20 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cQ (skS.0 0 a)) True % 3.99/4.20 Clause #13 (by superposition #[12, 11]): Eq True False % 3.99/4.20 Clause #14 (by clausification #[13]): False % 3.99/4.20 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------