%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYN732+1 : TPTP v9.2.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n028.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 08:08:03 PM UTC 2025 % Result : Theorem 3.52s 3.69s % Output : Proof 3.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : SYN732+1 : TPTP v9.2.0. Released v2.5.0. % 0.08/0.13 % Command : duper %s % 0.13/0.34 % Computer : n028.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 15:43:53 EDT 2025 % 0.13/0.34 % CPUTime : % 3.52/3.69 SZS status Theorem for theBenchmark.p % 3.52/3.69 SZS output start Proof for theBenchmark.p % 3.52/3.69 Clause #0 (by assumption #[]): Eq % 3.52/3.69 (Not % 3.52/3.69 ((∀ (Y : Iota), (∀ (X : Iota), p X Y) → ∀ (U : Iota), q U Y) → % 3.52/3.69 Exists fun Z => (Exists fun V => p V Z) → Exists fun W => Or (p Z W) (q W Z))) % 3.52/3.69 True % 3.52/3.69 Clause #1 (by clausification #[0]): Eq % 3.52/3.69 ((∀ (Y : Iota), (∀ (X : Iota), p X Y) → ∀ (U : Iota), q U Y) → % 3.52/3.69 Exists fun Z => (Exists fun V => p V Z) → Exists fun W => Or (p Z W) (q W Z)) % 3.52/3.69 False % 3.52/3.69 Clause #3 (by clausification #[1]): Eq (Exists fun Z => (Exists fun V => p V Z) → Exists fun W => Or (p Z W) (q W Z)) False % 3.52/3.69 Clause #9 (by clausification #[3]): ∀ (a : Iota), Eq ((Exists fun V => p V a) → Exists fun W => Or (p a W) (q W a)) False % 3.52/3.69 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (Exists fun V => p V a) True % 3.52/3.69 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (Exists fun W => Or (p a W) (q W a)) False % 3.52/3.69 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (p (skS.0 1 a a_1) a) True % 3.52/3.69 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (Or (p a a_1) (q a_1 a)) False % 3.52/3.69 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (p a a_1) False % 3.52/3.69 Clause #16 (by superposition #[15, 12]): Eq False True % 3.52/3.69 Clause #17 (by clausification #[16]): False % 3.52/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------