%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM838+1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.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 07:57:25 PM UTC 2025 % Result : Theorem 5.05s 5.21s % Output : Proof 5.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM838+1 : TPTP v9.2.0. Released v4.1.0. % 0.12/0.13 % Command : duper %s % 0.12/0.34 % Computer : n020.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 : Fri Oct 3 07:30:38 EDT 2025 % 0.12/0.34 % CPUTime : % 5.05/5.21 SZS status Theorem for theBenchmark.p % 5.05/5.21 SZS output start Proof for theBenchmark.p % 5.05/5.21 Clause #0 (by assumption #[]): Eq (Not (greater (vplus vd301 vd303) (vplus vd302 vd303))) True % 5.05/5.21 Clause #1 (by assumption #[]): Eq (greater vd301 vd302) True % 5.05/5.21 Clause #3 (by assumption #[]): Eq (∀ (Vd310 Vd322 Vd323 : Iota), less Vd322 Vd323 → greater (vplus Vd323 Vd310) (vplus Vd322 Vd310)) True % 5.05/5.21 Clause #21 (by assumption #[]): Eq (∀ (Vd208 Vd209 : Iota), greater Vd208 Vd209 → less Vd209 Vd208) True % 5.05/5.21 Clause #48 (by clausification #[21]): ∀ (a : Iota), Eq (∀ (Vd209 : Iota), greater a Vd209 → less Vd209 a) True % 5.05/5.21 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota), Eq (greater a a_1 → less a_1 a) True % 5.05/5.21 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota), Or (Eq (greater a a_1) False) (Eq (less a_1 a) True) % 5.05/5.21 Clause #51 (by superposition #[50, 1]): Or (Eq (less vd302 vd301) True) (Eq False True) % 5.05/5.21 Clause #52 (by clausification #[51]): Eq (less vd302 vd301) True % 5.05/5.21 Clause #53 (by clausification #[0]): Eq (greater (vplus vd301 vd303) (vplus vd302 vd303)) False % 5.05/5.21 Clause #94 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (Vd322 Vd323 : Iota), less Vd322 Vd323 → greater (vplus Vd323 a) (vplus Vd322 a)) True % 5.05/5.21 Clause #95 (by clausification #[94]): ∀ (a a_1 : Iota), Eq (∀ (Vd323 : Iota), less a Vd323 → greater (vplus Vd323 a_1) (vplus a a_1)) True % 5.05/5.21 Clause #96 (by clausification #[95]): ∀ (a a_1 a_2 : Iota), Eq (less a a_1 → greater (vplus a_1 a_2) (vplus a a_2)) True % 5.05/5.21 Clause #97 (by clausification #[96]): ∀ (a a_1 a_2 : Iota), Or (Eq (less a a_1) False) (Eq (greater (vplus a_1 a_2) (vplus a a_2)) True) % 5.05/5.21 Clause #98 (by superposition #[97, 52]): ∀ (a : Iota), Or (Eq (greater (vplus vd301 a) (vplus vd302 a)) True) (Eq False True) % 5.05/5.21 Clause #1964 (by clausification #[98]): ∀ (a : Iota), Eq (greater (vplus vd301 a) (vplus vd302 a)) True % 5.05/5.21 Clause #1965 (by superposition #[1964, 53]): Eq True False % 5.05/5.21 Clause #2002 (by clausification #[1965]): False % 5.05/5.21 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------