%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM770^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n007.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 07:57:18 PM UTC 2025 % Result : Theorem 3.54s 3.73s % Output : Proof 3.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM770^1 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.13 % Command : duper %s % 0.14/0.34 % Computer : n007.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 08:38:23 EDT 2025 % 0.14/0.34 % CPUTime : % 3.54/3.73 SZS status Theorem for theBenchmark.p % 3.54/3.73 SZS output start Proof for theBenchmark.p % 3.54/3.73 Clause #0 (by assumption #[]): Eq (moref x y) True % 3.54/3.73 Clause #1 (by assumption #[]): Eq (eq (pf y v) x) True % 3.54/3.73 Clause #2 (by assumption #[]): Eq (∀ (Xx Xy Xv Xw : frac), eq (pf Xy Xv) Xx → eq (pf Xy Xw) Xx → eq Xv Xw) True % 3.54/3.73 Clause #3 (by assumption #[]): Eq (∀ (Xx Xy : frac), moref Xx Xy → eq (pf Xy (mf Xx Xy)) Xx) True % 3.54/3.73 Clause #4 (by assumption #[]): Eq (Not (eq v (mf x y))) True % 3.54/3.73 Clause #5 (by clausification #[4]): Eq (eq v (mf x y)) False % 3.54/3.73 Clause #6 (by clausification #[2]): ∀ (a : frac), Eq (∀ (Xy Xv Xw : frac), eq (pf Xy Xv) a → eq (pf Xy Xw) a → eq Xv Xw) True % 3.54/3.73 Clause #7 (by clausification #[6]): ∀ (a a_1 : frac), Eq (∀ (Xv Xw : frac), eq (pf a Xv) a_1 → eq (pf a Xw) a_1 → eq Xv Xw) True % 3.54/3.73 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xw : frac), eq (pf a a_1) a_2 → eq (pf a Xw) a_2 → eq a_1 Xw) True % 3.54/3.73 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 a_3 : frac), Eq (eq (pf a a_1) a_2 → eq (pf a a_3) a_2 → eq a_1 a_3) True % 3.54/3.73 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (eq (pf a a_1) a_2) False) (Eq (eq (pf a a_3) a_2 → eq a_1 a_3) True) % 3.54/3.73 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (eq (pf a a_1) a_2) False) (Or (Eq (eq (pf a a_3) a_2) False) (Eq (eq a_1 a_3) True)) % 3.54/3.73 Clause #12 (by superposition #[11, 1]): ∀ (a : frac), Or (Eq (eq (pf y a) x) False) (Or (Eq (eq v a) True) (Eq False True)) % 3.54/3.73 Clause #13 (by clausification #[3]): ∀ (a : frac), Eq (∀ (Xy : frac), moref a Xy → eq (pf Xy (mf a Xy)) a) True % 3.54/3.73 Clause #14 (by clausification #[13]): ∀ (a a_1 : frac), Eq (moref a a_1 → eq (pf a_1 (mf a a_1)) a) True % 3.54/3.73 Clause #15 (by clausification #[14]): ∀ (a a_1 : frac), Or (Eq (moref a a_1) False) (Eq (eq (pf a_1 (mf a a_1)) a) True) % 3.54/3.73 Clause #16 (by superposition #[15, 0]): Or (Eq (eq (pf y (mf x y)) x) True) (Eq False True) % 3.54/3.73 Clause #17 (by clausification #[12]): ∀ (a : frac), Or (Eq (eq (pf y a) x) False) (Eq (eq v a) True) % 3.54/3.73 Clause #20 (by clausification #[16]): Eq (eq (pf y (mf x y)) x) True % 3.54/3.73 Clause #21 (by superposition #[20, 17]): Or (Eq True False) (Eq (eq v (mf x y)) True) % 3.54/3.73 Clause #23 (by clausification #[21]): Eq (eq v (mf x y)) True % 3.54/3.73 Clause #24 (by superposition #[23, 5]): Eq True False % 3.54/3.73 Clause #25 (by clausification #[24]): False % 3.54/3.73 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------