%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN732^5 : 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 08:08:04 PM UTC 2025 % Result : Theorem 3.45s 3.65s % Output : Proof 3.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN732^5 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.12/0.34 % Computer : n017.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 15:36:23 EDT 2025 % 0.12/0.34 % CPUTime : % 3.45/3.65 SZS status Theorem for theBenchmark.p % 3.45/3.65 SZS output start Proof for theBenchmark.p % 3.45/3.65 Clause #0 (by assumption #[]): Eq % 3.45/3.65 (Not % 3.45/3.65 ((∀ (Xy : Iota), (∀ (Xx : Iota), cP Xx Xy) → ∀ (Xu : Iota), cQ Xu Xy) → % 3.45/3.65 Exists fun Xz => (Exists fun Xv => cP Xv Xz) → Exists fun Xw => Or (cP Xz Xw) (cQ Xw Xz))) % 3.45/3.65 True % 3.45/3.65 Clause #1 (by clausification #[0]): Eq % 3.45/3.65 ((∀ (Xy : Iota), (∀ (Xx : Iota), cP Xx Xy) → ∀ (Xu : Iota), cQ Xu Xy) → % 3.45/3.65 Exists fun Xz => (Exists fun Xv => cP Xv Xz) → Exists fun Xw => Or (cP Xz Xw) (cQ Xw Xz)) % 3.45/3.65 False % 3.45/3.65 Clause #3 (by clausification #[1]): Eq (Exists fun Xz => (Exists fun Xv => cP Xv Xz) → Exists fun Xw => Or (cP Xz Xw) (cQ Xw Xz)) False % 3.45/3.65 Clause #9 (by clausification #[3]): ∀ (a : Iota), Eq ((Exists fun Xv => cP Xv a) → Exists fun Xw => Or (cP a Xw) (cQ Xw a)) False % 3.45/3.65 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (Exists fun Xv => cP Xv a) True % 3.45/3.65 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (Exists fun Xw => Or (cP a Xw) (cQ Xw a)) False % 3.45/3.65 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (cP (skS.0 1 a a_1) a) True % 3.45/3.65 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (Or (cP a a_1) (cQ a_1 a)) False % 3.45/3.65 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (cP a a_1) False % 3.45/3.65 Clause #16 (by superposition #[15, 12]): Eq False True % 3.45/3.65 Clause #17 (by clausification #[16]): False % 3.45/3.65 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------