%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM742^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 07:57:12 PM UTC 2025 % Result : Theorem 4.67s 4.88s % Output : Proof 4.67s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : NUM742^1 : TPTP v9.2.0. Released v3.7.0. % 0.10/0.13 % Command : duper %s % 0.14/0.34 % Computer : n027.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 06:54:08 EDT 2025 % 0.14/0.34 % CPUTime : % 4.67/4.88 SZS status Theorem for theBenchmark.p % 4.67/4.88 SZS output start Proof for theBenchmark.p % 4.67/4.88 Clause #0 (by assumption #[]): Eq (Not (lessf x y) → eq x y) True % 4.67/4.88 Clause #1 (by assumption #[]): Eq (lessf y z) True % 4.67/4.88 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), lessf Xx Xy → eq Xx Xz → eq Xy Xu → lessf Xz Xu) True % 4.67/4.88 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq Xx Xy → eq Xy Xx) True % 4.67/4.88 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), lessf Xx Xy → lessf Xy Xz → lessf Xx Xz) True % 4.67/4.88 Clause #6 (by assumption #[]): Eq (∀ (Xx : frac), eq Xx Xx) True % 4.67/4.88 Clause #7 (by assumption #[]): Eq (Not (lessf x z)) True % 4.67/4.88 Clause #12 (by clausification #[0]): Or (Eq (Not (lessf x y)) False) (Eq (eq x y) True) % 4.67/4.88 Clause #13 (by clausification #[12]): Or (Eq (eq x y) True) (Eq (lessf x y) True) % 4.67/4.88 Clause #14 (by clausification #[7]): Eq (lessf x z) False % 4.67/4.88 Clause #15 (by clausification #[6]): ∀ (a : frac), Eq (eq a a) True % 4.67/4.88 Clause #16 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), lessf a Xy → eq a Xz → eq Xy Xu → lessf Xz Xu) True % 4.67/4.88 Clause #17 (by clausification #[16]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), lessf a a_1 → eq a Xz → eq a_1 Xu → lessf Xz Xu) True % 4.67/4.88 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), lessf a a_1 → eq a a_2 → eq a_1 Xu → lessf a_2 Xu) True % 4.67/4.88 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 a_3 : frac), Eq (lessf a a_1 → eq a a_2 → eq a_1 a_3 → lessf a_2 a_3) True % 4.67/4.88 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (lessf a a_1) False) (Eq (eq a a_2 → eq a_1 a_3 → lessf a_2 a_3) True) % 4.67/4.88 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (lessf a a_1) False) (Or (Eq (eq a a_2) False) (Eq (eq a_1 a_3 → lessf a_2 a_3) True)) % 4.67/4.88 Clause #22 (by clausification #[21]): ∀ (a a_1 a_2 a_3 : frac), % 4.67/4.88 Or (Eq (lessf a a_1) False) (Or (Eq (eq a a_2) False) (Or (Eq (eq a_1 a_3) False) (Eq (lessf a_2 a_3) True))) % 4.67/4.88 Clause #23 (by superposition #[22, 1]): ∀ (a a_1 : frac), Or (Eq (eq y a) False) (Or (Eq (eq z a_1) False) (Or (Eq (lessf a a_1) True) (Eq False True))) % 4.67/4.88 Clause #24 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy : frac), eq a Xy → eq Xy a) True % 4.67/4.88 Clause #25 (by clausification #[24]): ∀ (a a_1 : frac), Eq (eq a a_1 → eq a_1 a) True % 4.67/4.88 Clause #26 (by clausification #[25]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a) True) % 4.67/4.88 Clause #27 (by superposition #[26, 13]): Or (Eq (eq y x) True) (Or (Eq False True) (Eq (lessf x y) True)) % 4.67/4.88 Clause #29 (by clausification #[5]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), lessf a Xy → lessf Xy Xz → lessf a Xz) True % 4.67/4.88 Clause #30 (by clausification #[29]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), lessf a a_1 → lessf a_1 Xz → lessf a Xz) True % 4.67/4.88 Clause #31 (by clausification #[30]): ∀ (a a_1 a_2 : frac), Eq (lessf a a_1 → lessf a_1 a_2 → lessf a a_2) True % 4.67/4.88 Clause #32 (by clausification #[31]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1) False) (Eq (lessf a_1 a_2 → lessf a a_2) True) % 4.67/4.88 Clause #33 (by clausification #[32]): ∀ (a a_1 a_2 : frac), Or (Eq (lessf a a_1) False) (Or (Eq (lessf a_1 a_2) False) (Eq (lessf a a_2) True)) % 4.67/4.88 Clause #35 (by clausification #[27]): Or (Eq (eq y x) True) (Eq (lessf x y) True) % 4.67/4.88 Clause #38 (by clausification #[23]): ∀ (a a_1 : frac), Or (Eq (eq y a) False) (Or (Eq (eq z a_1) False) (Eq (lessf a a_1) True)) % 4.67/4.88 Clause #39 (by superposition #[38, 35]): ∀ (a : frac), Or (Eq (eq z a) False) (Or (Eq (lessf x a) True) (Or (Eq False True) (Eq (lessf x y) True))) % 4.67/4.88 Clause #44 (by clausification #[39]): ∀ (a : frac), Or (Eq (eq z a) False) (Or (Eq (lessf x a) True) (Eq (lessf x y) True)) % 4.67/4.88 Clause #45 (by superposition #[44, 15]): Or (Eq (lessf x z) True) (Or (Eq (lessf x y) True) (Eq False True)) % 4.67/4.88 Clause #46 (by clausification #[45]): Or (Eq (lessf x z) True) (Eq (lessf x y) True) % 4.67/4.88 Clause #47 (by superposition #[46, 14]): Or (Eq (lessf x y) True) (Eq True False) % 4.67/4.88 Clause #50 (by clausification #[47]): Eq (lessf x y) True % 4.67/4.88 Clause #56 (by superposition #[50, 33]): ∀ (a : frac), Or (Eq True False) (Or (Eq (lessf y a) False) (Eq (lessf x a) True)) % 4.67/4.88 Clause #57 (by clausification #[56]): ∀ (a : frac), Or (Eq (lessf y a) False) (Eq (lessf x a) True) % 4.67/4.88 Clause #58 (by superposition #[57, 1]): Or (Eq (lessf x z) True) (Eq False True) % 4.67/4.88 Clause #59 (by clausification #[58]): Eq (lessf x z) True % 4.67/4.88 Clause #60 (by superposition #[59, 14]): Eq True False % 4.67/4.88 Clause #65 (by clausification #[60]): False % 4.67/4.88 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------