%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM739^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n016.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 5.63s 5.82s % Output : Proof 5.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : NUM739^1 : TPTP v9.2.0. Released v3.7.0. % 0.03/0.12 % Command : duper %s % 0.12/0.33 % Computer : n016.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Fri Oct 3 08:01:53 EDT 2025 % 0.12/0.33 % CPUTime : % 5.63/5.82 SZS status Theorem for theBenchmark.p % 5.63/5.82 SZS output start Proof for theBenchmark.p % 5.63/5.82 Clause #0 (by assumption #[]): Eq (Not (moref x y) → eq x y) True % 5.63/5.82 Clause #1 (by assumption #[]): Eq (eq x z) True % 5.63/5.82 Clause #2 (by assumption #[]): Eq (eq y u) True % 5.63/5.82 Clause #4 (by assumption #[]): Eq (∀ (Xx Xy Xz : frac), eq Xx Xy → eq Xy Xz → eq Xx Xz) True % 5.63/5.82 Clause #5 (by assumption #[]): Eq (∀ (Xx Xy : frac), eq Xx Xy → eq Xy Xx) True % 5.63/5.82 Clause #6 (by assumption #[]): Eq (∀ (Xx Xy Xz Xu : frac), moref Xx Xy → eq Xx Xz → eq Xy Xu → moref Xz Xu) True % 5.63/5.82 Clause #7 (by assumption #[]): Eq (Not (Not (moref z u) → eq z u)) True % 5.63/5.82 Clause #12 (by clausification #[0]): Or (Eq (Not (moref x y)) False) (Eq (eq x y) True) % 5.63/5.82 Clause #13 (by clausification #[12]): Or (Eq (eq x y) True) (Eq (moref x y) True) % 5.63/5.82 Clause #14 (by clausification #[7]): Eq (Not (moref z u) → eq z u) False % 5.63/5.82 Clause #15 (by clausification #[14]): Eq (Not (moref z u)) True % 5.63/5.82 Clause #16 (by clausification #[14]): Eq (eq z u) False % 5.63/5.82 Clause #17 (by clausification #[15]): Eq (moref z u) False % 5.63/5.82 Clause #18 (by clausification #[4]): ∀ (a : frac), Eq (∀ (Xy Xz : frac), eq a Xy → eq Xy Xz → eq a Xz) True % 5.63/5.82 Clause #19 (by clausification #[18]): ∀ (a a_1 : frac), Eq (∀ (Xz : frac), eq a a_1 → eq a_1 Xz → eq a Xz) True % 5.63/5.82 Clause #20 (by clausification #[19]): ∀ (a a_1 a_2 : frac), Eq (eq a a_1 → eq a_1 a_2 → eq a a_2) True % 5.63/5.82 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a_2 → eq a a_2) True) % 5.63/5.82 Clause #22 (by clausification #[21]): ∀ (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)) % 5.63/5.82 Clause #25 (by clausification #[5]): ∀ (a : frac), Eq (∀ (Xy : frac), eq a Xy → eq Xy a) True % 5.63/5.82 Clause #26 (by clausification #[25]): ∀ (a a_1 : frac), Eq (eq a a_1 → eq a_1 a) True % 5.63/5.82 Clause #27 (by clausification #[26]): ∀ (a a_1 : frac), Or (Eq (eq a a_1) False) (Eq (eq a_1 a) True) % 5.63/5.82 Clause #28 (by superposition #[27, 2]): Or (Eq (eq u y) True) (Eq False True) % 5.63/5.82 Clause #29 (by superposition #[27, 1]): Or (Eq (eq z x) True) (Eq False True) % 5.63/5.82 Clause #30 (by clausification #[29]): Eq (eq z x) True % 5.63/5.82 Clause #31 (by superposition #[30, 22]): ∀ (a : frac), Or (Eq True False) (Or (Eq (eq x a) False) (Eq (eq z a) True)) % 5.63/5.82 Clause #33 (by clausification #[28]): Eq (eq u y) True % 5.63/5.82 Clause #34 (by superposition #[33, 22]): ∀ (a : frac), Or (Eq True False) (Or (Eq (eq y a) False) (Eq (eq u a) True)) % 5.63/5.82 Clause #36 (by clausification #[6]): ∀ (a : frac), Eq (∀ (Xy Xz Xu : frac), moref a Xy → eq a Xz → eq Xy Xu → moref Xz Xu) True % 5.63/5.82 Clause #37 (by clausification #[36]): ∀ (a a_1 : frac), Eq (∀ (Xz Xu : frac), moref a a_1 → eq a Xz → eq a_1 Xu → moref Xz Xu) True % 5.63/5.82 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : frac), Eq (∀ (Xu : frac), moref a a_1 → eq a a_2 → eq a_1 Xu → moref a_2 Xu) True % 5.63/5.82 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 a_3 : frac), Eq (moref a a_1 → eq a a_2 → eq a_1 a_3 → moref a_2 a_3) True % 5.63/5.82 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (moref a a_1) False) (Eq (eq a a_2 → eq a_1 a_3 → moref a_2 a_3) True) % 5.63/5.82 Clause #41 (by clausification #[40]): ∀ (a a_1 a_2 a_3 : frac), Or (Eq (moref a a_1) False) (Or (Eq (eq a a_2) False) (Eq (eq a_1 a_3 → moref a_2 a_3) True)) % 5.63/5.82 Clause #42 (by clausification #[41]): ∀ (a a_1 a_2 a_3 : frac), % 5.63/5.82 Or (Eq (moref a a_1) False) (Or (Eq (eq a a_2) False) (Or (Eq (eq a_1 a_3) False) (Eq (moref a_2 a_3) True))) % 5.63/5.82 Clause #43 (by superposition #[42, 13]): ∀ (a a_1 : frac), % 5.63/5.82 Or (Eq (eq x a) False) (Or (Eq (eq y a_1) False) (Or (Eq (moref a a_1) True) (Or (Eq (eq x y) True) (Eq False True)))) % 5.63/5.82 Clause #51 (by clausification #[31]): ∀ (a : frac), Or (Eq (eq x a) False) (Eq (eq z a) True) % 5.63/5.82 Clause #60 (by clausification #[34]): ∀ (a : frac), Or (Eq (eq y a) False) (Eq (eq u a) True) % 5.63/5.82 Clause #65 (by clausification #[43]): ∀ (a a_1 : frac), Or (Eq (eq x a) False) (Or (Eq (eq y a_1) False) (Or (Eq (moref a a_1) True) (Eq (eq x y) True))) % 5.63/5.82 Clause #66 (by superposition #[65, 1]): ∀ (a : frac), Or (Eq (eq y a) False) (Or (Eq (moref z a) True) (Or (Eq (eq x y) True) (Eq False True))) % 5.63/5.84 Clause #72 (by clausification #[66]): ∀ (a : frac), Or (Eq (eq y a) False) (Or (Eq (moref z a) True) (Eq (eq x y) True)) % 5.63/5.84 Clause #73 (by superposition #[72, 2]): Or (Eq (moref z u) True) (Or (Eq (eq x y) True) (Eq False True)) % 5.63/5.84 Clause #77 (by clausification #[73]): Or (Eq (moref z u) True) (Eq (eq x y) True) % 5.63/5.84 Clause #78 (by superposition #[77, 17]): Or (Eq (eq x y) True) (Eq True False) % 5.63/5.84 Clause #80 (by clausification #[78]): Eq (eq x y) True % 5.63/5.84 Clause #89 (by superposition #[80, 27]): Or (Eq True False) (Eq (eq y x) True) % 5.63/5.84 Clause #90 (by clausification #[89]): Eq (eq y x) True % 5.63/5.84 Clause #91 (by superposition #[90, 60]): Or (Eq True False) (Eq (eq u x) True) % 5.63/5.84 Clause #96 (by clausification #[91]): Eq (eq u x) True % 5.63/5.84 Clause #98 (by superposition #[96, 27]): Or (Eq True False) (Eq (eq x u) True) % 5.63/5.84 Clause #99 (by clausification #[98]): Eq (eq x u) True % 5.63/5.84 Clause #100 (by superposition #[99, 51]): Or (Eq True False) (Eq (eq z u) True) % 5.63/5.84 Clause #102 (by clausification #[100]): Eq (eq z u) True % 5.63/5.84 Clause #103 (by superposition #[102, 16]): Eq True False % 5.63/5.84 Clause #106 (by clausification #[103]): False % 5.63/5.84 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------