%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : TIM031_1 : TPTP v9.3.0. Released v9.3.0. % 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 : Tue May 5 07:16:12 PM UTC 2026 % Result : Theorem 3.73s 3.95s % Output : Proof 3.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TIM031_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : duper %s % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon May 4 18:29:49 EDT 2026 % 0.17/0.34 % CPUTime : % 3.73/3.95 SZS status Theorem for theBenchmark.p % 3.73/3.95 SZS output start Proof for theBenchmark.p % 3.73/3.95 Clause #7 (by assumption #[]): Eq (∀ (I J K : interval), And (before I J) (before J K) → before I K) True % 3.73/3.95 Clause #8 (by assumption #[]): Eq (before a b) True % 3.73/3.95 Clause #9 (by assumption #[]): Eq (before b c) True % 3.73/3.95 Clause #10 (by assumption #[]): Eq (before c d) True % 3.73/3.95 Clause #11 (by assumption #[]): Eq (before d e) True % 3.73/3.95 Clause #12 (by assumption #[]): Eq (before e f) True % 3.73/3.95 Clause #13 (by assumption #[]): Eq (before f g) True % 3.73/3.95 Clause #14 (by assumption #[]): Eq (before g h) True % 3.73/3.95 Clause #15 (by assumption #[]): Eq (Not (before a h)) True % 3.73/3.95 Clause #20 (by clausification #[15]): Eq (before a h) False % 3.73/3.95 Clause #23 (by clausification #[7]): ∀ (a : interval), Eq (∀ (J K : interval), And (before a J) (before J K) → before a K) True % 3.73/3.95 Clause #24 (by clausification #[23]): ∀ (a a_1 : interval), Eq (∀ (K : interval), And (before a a_1) (before a_1 K) → before a K) True % 3.73/3.95 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : interval), Eq (And (before a a_1) (before a_1 a_2) → before a a_2) True % 3.73/3.95 Clause #26 (by clausification #[25]): ∀ (a a_1 a_2 : interval), Or (Eq (And (before a a_1) (before a_1 a_2)) False) (Eq (before a a_2) True) % 3.73/3.95 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : interval), Or (Eq (before a a_1) True) (Or (Eq (before a a_2) False) (Eq (before a_2 a_1) False)) % 3.73/3.95 Clause #29 (by superposition #[27, 13]): ∀ (a : interval), Or (Eq (before f a) True) (Or (Eq (before g a) False) (Eq False True)) % 3.73/3.95 Clause #30 (by superposition #[27, 12]): ∀ (a : interval), Or (Eq (before e a) True) (Or (Eq (before f a) False) (Eq False True)) % 3.73/3.95 Clause #34 (by superposition #[27, 8]): ∀ (a_1 : interval), Or (Eq (before a a_1) True) (Or (Eq (before b a_1) False) (Eq False True)) % 3.73/3.95 Clause #72 (by clausification #[34]): ∀ (a_1 : interval), Or (Eq (before a a_1) True) (Eq (before b a_1) False) % 3.73/3.95 Clause #73 (by superposition #[72, 9]): Or (Eq (before a c) True) (Eq False True) % 3.73/3.95 Clause #78 (by clausification #[73]): Eq (before a c) True % 3.73/3.95 Clause #79 (by superposition #[78, 27]): ∀ (a_1 : interval), Or (Eq (before a a_1) True) (Or (Eq True False) (Eq (before c a_1) False)) % 3.73/3.95 Clause #83 (by clausification #[79]): ∀ (a_1 : interval), Or (Eq (before a a_1) True) (Eq (before c a_1) False) % 3.73/3.95 Clause #84 (by superposition #[83, 10]): Or (Eq (before a d) True) (Eq False True) % 3.73/3.95 Clause #86 (by clausification #[84]): Eq (before a d) True % 3.73/3.95 Clause #87 (by superposition #[86, 27]): ∀ (a_1 : interval), Or (Eq (before a a_1) True) (Or (Eq True False) (Eq (before d a_1) False)) % 3.73/3.95 Clause #91 (by clausification #[87]): ∀ (a_1 : interval), Or (Eq (before a a_1) True) (Eq (before d a_1) False) % 3.73/3.95 Clause #92 (by superposition #[91, 11]): Or (Eq (before a e) True) (Eq False True) % 3.73/3.95 Clause #93 (by clausification #[92]): Eq (before a e) True % 3.73/3.95 Clause #94 (by superposition #[93, 27]): ∀ (a_1 : interval), Or (Eq (before a a_1) True) (Or (Eq True False) (Eq (before e a_1) False)) % 3.73/3.95 Clause #96 (by clausification #[29]): ∀ (a : interval), Or (Eq (before f a) True) (Eq (before g a) False) % 3.73/3.95 Clause #97 (by superposition #[96, 14]): Or (Eq (before f h) True) (Eq False True) % 3.73/3.95 Clause #98 (by clausification #[97]): Eq (before f h) True % 3.73/3.95 Clause #105 (by clausification #[30]): ∀ (a : interval), Or (Eq (before e a) True) (Eq (before f a) False) % 3.73/3.95 Clause #107 (by superposition #[105, 98]): Or (Eq (before e h) True) (Eq False True) % 3.73/3.95 Clause #108 (by clausification #[107]): Eq (before e h) True % 3.73/3.95 Clause #159 (by clausification #[94]): ∀ (a_1 : interval), Or (Eq (before a a_1) True) (Eq (before e a_1) False) % 3.73/3.95 Clause #161 (by superposition #[159, 108]): Or (Eq (before a h) True) (Eq False True) % 3.73/3.95 Clause #163 (by clausification #[161]): Eq (before a h) True % 3.73/3.95 Clause #164 (by superposition #[163, 20]): Eq True False % 3.73/3.95 Clause #167 (by clausification #[164]): False % 3.73/3.95 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------