%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SYO306^5 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n014.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 08:08:52 PM UTC 2025 % Result : Theorem 3.47s 3.66s % Output : Proof 3.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYO306^5 : TPTP v9.2.0. Released v4.0.0. % 0.06/0.13 % Command : duper %s % 0.12/0.32 % Computer : n014.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Fri Oct 3 13:21:23 EDT 2025 % 0.12/0.32 % CPUTime : % 3.47/3.66 SZS status Theorem for theBenchmark.p % 3.47/3.66 SZS output start Proof for theBenchmark.p % 3.47/3.66 Clause #0 (by assumption #[]): Eq % 3.47/3.66 (Not % 3.47/3.66 ((∀ (P : Iota → Prop), (∀ (Xx : Iota), P Xx) → ∀ (Xx : Iota), P Xx) → % 3.47/3.66 (∀ (Xx : Iota), And (cS Xx) (cT Xx)) → ∀ (Xx : Iota), And (cS Xx) (cT Xx))) % 3.47/3.66 True % 3.47/3.66 Clause #1 (by clausification #[0]): Eq % 3.47/3.66 ((∀ (P : Iota → Prop), (∀ (Xx : Iota), P Xx) → ∀ (Xx : Iota), P Xx) → % 3.47/3.66 (∀ (Xx : Iota), And (cS Xx) (cT Xx)) → ∀ (Xx : Iota), And (cS Xx) (cT Xx)) % 3.47/3.66 False % 3.47/3.66 Clause #3 (by clausification #[1]): Eq ((∀ (Xx : Iota), And (cS Xx) (cT Xx)) → ∀ (Xx : Iota), And (cS Xx) (cT Xx)) False % 3.47/3.66 Clause #17 (by clausification #[3]): Eq (∀ (Xx : Iota), And (cS Xx) (cT Xx)) True % 3.47/3.66 Clause #18 (by clausification #[3]): Eq (∀ (Xx : Iota), And (cS Xx) (cT Xx)) False % 3.47/3.66 Clause #19 (by clausification #[17]): ∀ (a : Iota), Eq (And (cS a) (cT a)) True % 3.47/3.66 Clause #20 (by clausification #[19]): ∀ (a : Iota), Eq (cT a) True % 3.47/3.66 Clause #21 (by clausification #[19]): ∀ (a : Iota), Eq (cS a) True % 3.47/3.66 Clause #29 (by clausification #[18]): ∀ (a : Iota), Eq (Not (And (cS (skS.0 1 a)) (cT (skS.0 1 a)))) True % 3.47/3.66 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (And (cS (skS.0 1 a)) (cT (skS.0 1 a))) False % 3.47/3.66 Clause #31 (by clausification #[30]): ∀ (a : Iota), Or (Eq (cS (skS.0 1 a)) False) (Eq (cT (skS.0 1 a)) False) % 3.47/3.66 Clause #32 (by forward demodulation #[31, 21]): ∀ (a : Iota), Or (Eq True False) (Eq (cT (skS.0 1 a)) False) % 3.47/3.66 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (cT (skS.0 1 a)) False % 3.47/3.66 Clause #34 (by superposition #[33, 20]): Eq False True % 3.47/3.66 Clause #37 (by clausification #[34]): False % 3.47/3.66 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------