%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM854+2 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n011.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 07:57:27 PM UTC 2025 % Result : Theorem 3.53s 3.70s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM854+2 : TPTP v9.2.0. Released v4.1.0. % 0.07/0.13 % Command : duper %s % 0.14/0.35 % Computer : n011.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Fri Oct 3 08:05:53 EDT 2025 % 0.14/0.35 % CPUTime : % 3.53/3.70 SZS status Theorem for theBenchmark.p % 3.53/3.70 SZS output start Proof for theBenchmark.p % 3.53/3.70 Clause #0 (by assumption #[]): Eq (Not (greater (vmul vd508 vd511) (vmul vd509 vd511))) True % 3.53/3.70 Clause #2 (by assumption #[]): Eq (greater vd508 vd509) True % 3.53/3.70 Clause #6 (by assumption #[]): Eq (∀ (Vd456 Vd465 Vd466 : Iota), less Vd465 Vd466 → less (vmul Vd465 Vd456) (vmul Vd466 Vd456)) True % 3.53/3.70 Clause #15 (by assumption #[]): Eq (∀ (Vd226 Vd227 : Iota), less Vd226 Vd227 → greater Vd227 Vd226) True % 3.53/3.70 Clause #16 (by assumption #[]): Eq (∀ (Vd208 Vd209 : Iota), greater Vd208 Vd209 → less Vd209 Vd208) True % 3.53/3.70 Clause #27 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (Vd227 : Iota), less a Vd227 → greater Vd227 a) True % 3.53/3.70 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (less a a_1 → greater a_1 a) True % 3.53/3.70 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (greater a_1 a) True) % 3.53/3.70 Clause #30 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (Vd209 : Iota), greater a Vd209 → less Vd209 a) True % 3.53/3.70 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (greater a a_1 → less a_1 a) True % 3.53/3.70 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (greater a a_1) False) (Eq (less a_1 a) True) % 3.53/3.70 Clause #33 (by superposition #[32, 2]): Or (Eq (less vd509 vd508) True) (Eq False True) % 3.53/3.70 Clause #37 (by clausification #[0]): Eq (greater (vmul vd508 vd511) (vmul vd509 vd511)) False % 3.53/3.70 Clause #38 (by clausification #[33]): Eq (less vd509 vd508) True % 3.53/3.70 Clause #64 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Vd465 Vd466 : Iota), less Vd465 Vd466 → less (vmul Vd465 a) (vmul Vd466 a)) True % 3.53/3.70 Clause #65 (by clausification #[64]): ∀ (a a_1 : Iota), Eq (∀ (Vd466 : Iota), less a Vd466 → less (vmul a a_1) (vmul Vd466 a_1)) True % 3.53/3.70 Clause #66 (by clausification #[65]): ∀ (a a_1 a_2 : Iota), Eq (less a a_1 → less (vmul a a_2) (vmul a_1 a_2)) True % 3.53/3.70 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota), Or (Eq (less a a_1) False) (Eq (less (vmul a a_2) (vmul a_1 a_2)) True) % 3.53/3.70 Clause #69 (by superposition #[67, 38]): ∀ (a : Iota), Or (Eq (less (vmul vd509 a) (vmul vd508 a)) True) (Eq False True) % 3.53/3.70 Clause #84 (by clausification #[69]): ∀ (a : Iota), Eq (less (vmul vd509 a) (vmul vd508 a)) True % 3.53/3.70 Clause #86 (by superposition #[84, 29]): ∀ (a : Iota), Or (Eq True False) (Eq (greater (vmul vd508 a) (vmul vd509 a)) True) % 3.53/3.70 Clause #95 (by clausification #[86]): ∀ (a : Iota), Eq (greater (vmul vd508 a) (vmul vd509 a)) True % 3.53/3.70 Clause #96 (by superposition #[95, 37]): Eq True False % 3.53/3.70 Clause #99 (by clausification #[96]): False % 3.53/3.70 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------