%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM838+2 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.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 3.63s 3.78s % Output : Proof 3.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM838+2 : TPTP v9.2.0. Released v4.1.0. % 0.03/0.13 % Command : duper %s % 0.14/0.34 % Computer : n018.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Fri Oct 3 06:58:23 EDT 2025 % 0.14/0.35 % CPUTime : % 3.63/3.78 SZS status Theorem for theBenchmark.p % 3.63/3.78 SZS output start Proof for theBenchmark.p % 3.63/3.78 Clause #0 (by assumption #[]): Eq (Not (greater (vplus vd301 vd303) (vplus vd302 vd303))) True % 3.63/3.78 Clause #1 (by assumption #[]): Eq (greater vd301 vd302) True % 3.63/3.78 Clause #2 (by assumption #[]): Eq (∀ (Vd310 Vd322 Vd323 : Iota), less Vd322 Vd323 → less (vplus Vd322 Vd310) (vplus Vd323 Vd310)) True % 3.63/3.78 Clause #14 (by assumption #[]): Eq (∀ (Vd226 Vd227 : Iota), less Vd226 Vd227 → greater Vd227 Vd226) True % 3.63/3.78 Clause #15 (by assumption #[]): Eq (∀ (Vd208 Vd209 : Iota), greater Vd208 Vd209 → less Vd209 Vd208) True % 3.63/3.78 Clause #30 (by clausification #[15]): ∀ (a : Iota), Eq (∀ (Vd209 : Iota), greater a Vd209 → less Vd209 a) True % 3.63/3.78 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (greater a a_1 → less a_1 a) True % 3.63/3.78 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Or (Eq (greater a a_1) False) (Eq (less a_1 a) True) % 3.63/3.78 Clause #33 (by superposition #[32, 1]): Or (Eq (less vd302 vd301) True) (Eq False True) % 3.63/3.78 Clause #34 (by clausification #[33]): Eq (less vd302 vd301) True % 3.63/3.78 Clause #35 (by clausification #[14]): ∀ (a : Iota), Eq (∀ (Vd227 : Iota), less a Vd227 → greater Vd227 a) True % 3.63/3.78 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (less a a_1 → greater a_1 a) True % 3.63/3.78 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (greater a_1 a) True) % 3.63/3.78 Clause #39 (by clausification #[0]): Eq (greater (vplus vd301 vd303) (vplus vd302 vd303)) False % 3.63/3.78 Clause #51 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (Vd322 Vd323 : Iota), less Vd322 Vd323 → less (vplus Vd322 a) (vplus Vd323 a)) True % 3.63/3.78 Clause #52 (by clausification #[51]): ∀ (a a_1 : Iota), Eq (∀ (Vd323 : Iota), less a Vd323 → less (vplus a a_1) (vplus Vd323 a_1)) True % 3.63/3.78 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (less a a_1 → less (vplus a a_2) (vplus a_1 a_2)) True % 3.63/3.78 Clause #54 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), Or (Eq (less a a_1) False) (Eq (less (vplus a a_2) (vplus a_1 a_2)) True) % 3.63/3.78 Clause #55 (by superposition #[54, 34]): ∀ (a : Iota), Or (Eq (less (vplus vd302 a) (vplus vd301 a)) True) (Eq False True) % 3.63/3.78 Clause #57 (by clausification #[55]): ∀ (a : Iota), Eq (less (vplus vd302 a) (vplus vd301 a)) True % 3.63/3.78 Clause #58 (by superposition #[57, 37]): ∀ (a : Iota), Or (Eq True False) (Eq (greater (vplus vd301 a) (vplus vd302 a)) True) % 3.63/3.78 Clause #60 (by clausification #[58]): ∀ (a : Iota), Eq (greater (vplus vd301 a) (vplus vd302 a)) True % 3.63/3.78 Clause #61 (by superposition #[60, 39]): Eq True False % 3.63/3.78 Clause #63 (by clausification #[61]): False % 3.63/3.78 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------