%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM767^1 : TPTP v9.2.0. Released v3.7.0. % 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 07:57:17 PM UTC 2025 % Result : Theorem 3.63s 3.80s % Output : Proof 3.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM767^1 : TPTP v9.2.0. Released v3.7.0. % 0.07/0.13 % Command : duper %s % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 07:12:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.63/3.80 SZS status Theorem for theBenchmark.p % 3.63/3.80 SZS output start Proof for theBenchmark.p % 3.63/3.80 Clause #0 (by assumption #[]): Eq (eq (pf y v) x) True % 3.63/3.80 Clause #1 (by assumption #[]): Eq (eq (pf y w) x) True % 3.63/3.80 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), eq (pf Xz Xx) (pf Xz Xy) → eq Xx Xy) True % 3.63/3.80 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), eq Xx Xy → eq Xy Xz → eq Xx Xz) True % 3.63/3.80 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq Xx Xy → eq Xy Xx) True % 3.63/3.80 Clause #5 (by assumption #[]): Eq (Not (eq v w)) True % 3.63/3.80 Clause #6 (by clausification #[5]): Eq (eq v w) False % 3.63/3.80 Clause #7 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy : frac), eq a Xy → eq Xy a) True % 3.63/3.80 Clause #8 (by clausification #[7]): ∀ (a a_1 : frac), Eq (eq a a_1 → eq a_1 a) True % 3.63/3.80 Clause #9 (by clausification #[8]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a) True) % 3.63/3.80 Clause #11 (by superposition #[9, 0]): Or (Eq (eq x (pf y v)) True) (Eq False True) % 3.63/3.80 Clause #12 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), eq (pf Xz a) (pf Xz Xy) → eq a Xy) True % 3.63/3.80 Clause #13 (by clausification #[12]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), eq (pf Xz a) (pf Xz a_1) → eq a a_1) True % 3.63/3.80 Clause #14 (by clausification #[13]): ∀ (a a_1 a_2 : frac), Eq (eq (pf a a_1) (pf a a_2) → eq a_1 a_2) True % 3.63/3.80 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : frac), Or (Eq (eq (pf a a_1) (pf a a_2)) False) (Eq (eq a_1 a_2) True) % 3.63/3.80 Clause #16 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), eq a Xy → eq Xy Xz → eq a Xz) True % 3.63/3.80 Clause #17 (by clausification #[16]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), eq a a_1 → eq a_1 Xz → eq a Xz) True % 3.63/3.80 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : frac), Eq (eq a a_1 → eq a_1 a_2 → eq a a_2) True % 3.63/3.80 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a_2 → eq a a_2) True) % 3.63/3.80 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : frac), Or (Eq (eq a a_1) False) (Or (Eq (eq a_1 a_2) False) (Eq (eq a a_2) True)) % 3.63/3.80 Clause #21 (by superposition #[20, 1]): ∀ (a : frac), Or (Eq (eq x a) False) (Or (Eq (eq (pf y w) a) True) (Eq False True)) % 3.63/3.80 Clause #26 (by clausification #[11]): Eq (eq x (pf y v)) True % 3.63/3.80 Clause #32 (by clausification #[21]): ∀ (a : frac), Or (Eq (eq x a) False) (Eq (eq (pf y w) a) True) % 3.63/3.80 Clause #34 (by superposition #[32, 26]): Or (Eq (eq (pf y w) (pf y v)) True) (Eq False True) % 3.63/3.80 Clause #35 (by clausification #[34]): Eq (eq (pf y w) (pf y v)) True % 3.63/3.80 Clause #36 (by superposition #[35, 15]): Or (Eq True False) (Eq (eq w v) True) % 3.63/3.80 Clause #39 (by clausification #[36]): Eq (eq w v) True % 3.63/3.80 Clause #40 (by superposition #[39, 9]): Or (Eq True False) (Eq (eq v w) True) % 3.63/3.80 Clause #42 (by clausification #[40]): Eq (eq v w) True % 3.63/3.80 Clause #43 (by superposition #[42, 6]): Eq True False % 3.63/3.80 Clause #45 (by clausification #[43]): False % 3.63/3.80 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------