%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM792^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n015.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 07:57:21 PM UTC 2025 % Result : Theorem 5.12s 5.32s % Output : Proof 5.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : NUM792^1 : TPTP v9.2.0. Released v3.7.0. % 0.10/0.12 % Command : duper %s % 0.11/0.32 % Computer : n015.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Fri Oct 3 07:03:08 EDT 2025 % 0.11/0.32 % CPUTime : % 5.12/5.32 SZS status Theorem for theBenchmark.p % 5.12/5.32 SZS output start Proof for theBenchmark.p % 5.12/5.32 Clause #0 (by assumption #[]): Eq (moreis x0 y0) True % 5.12/5.32 Clause #1 (by assumption #[]): Eq (more y0 z0) True % 5.12/5.32 Clause #2 (by assumption #[]): Eq (∀ (Xx0 Xy0 : rat), less Xx0 Xy0 → more Xy0 Xx0) True % 5.12/5.32 Clause #3 (by assumption #[]): Eq (∀ (Xx0 Xy0 Xz0 : rat), less Xx0 Xy0 → lessis Xy0 Xz0 → less Xx0 Xz0) True % 5.12/5.32 Clause #4 (by assumption #[]): Eq (∀ (Xx0 Xy0 : rat), more Xx0 Xy0 → less Xy0 Xx0) True % 5.12/5.32 Clause #5 (by assumption #[]): Eq (∀ (Xx0 Xy0 : rat), moreis Xx0 Xy0 → lessis Xy0 Xx0) True % 5.12/5.32 Clause #6 (by assumption #[]): Eq (Not (more x0 z0)) True % 5.12/5.32 Clause #7 (by clausification #[6]): Eq (more x0 z0) False % 5.12/5.32 Clause #8 (by clausification #[2]): ∀ (a : rat), Eq (∀ (Xy0 : rat), less a Xy0 → more Xy0 a) True % 5.12/5.32 Clause #9 (by clausification #[8]): ∀ (a a_1 : rat), Eq (less a a_1 → more a_1 a) True % 5.12/5.32 Clause #10 (by clausification #[9]): ∀ (a a_1 : rat), Or (Eq (less a a_1) False) (Eq (more a_1 a) True) % 5.12/5.32 Clause #11 (by clausification #[5]): ∀ (a : rat), Eq (∀ (Xy0 : rat), moreis a Xy0 → lessis Xy0 a) True % 5.12/5.32 Clause #12 (by clausification #[11]): ∀ (a a_1 : rat), Eq (moreis a a_1 → lessis a_1 a) True % 5.12/5.32 Clause #13 (by clausification #[12]): ∀ (a a_1 : rat), Or (Eq (moreis a a_1) False) (Eq (lessis a_1 a) True) % 5.12/5.32 Clause #14 (by superposition #[13, 0]): Or (Eq (lessis y0 x0) True) (Eq False True) % 5.12/5.32 Clause #15 (by clausification #[3]): ∀ (a : rat), Eq (∀ (Xy0 Xz0 : rat), less a Xy0 → lessis Xy0 Xz0 → less a Xz0) True % 5.12/5.32 Clause #16 (by clausification #[15]): ∀ (a a_1 : rat), Eq (∀ (Xz0 : rat), less a a_1 → lessis a_1 Xz0 → less a Xz0) True % 5.12/5.32 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : rat), Eq (less a a_1 → lessis a_1 a_2 → less a a_2) True % 5.12/5.32 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : rat), Or (Eq (less a a_1) False) (Eq (lessis a_1 a_2 → less a a_2) True) % 5.12/5.32 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : rat), Or (Eq (less a a_1) False) (Or (Eq (lessis a_1 a_2) False) (Eq (less a a_2) True)) % 5.12/5.32 Clause #20 (by clausification #[14]): Eq (lessis y0 x0) True % 5.12/5.32 Clause #21 (by clausification #[4]): ∀ (a : rat), Eq (∀ (Xy0 : rat), more a Xy0 → less Xy0 a) True % 5.12/5.32 Clause #22 (by clausification #[21]): ∀ (a a_1 : rat), Eq (more a a_1 → less a_1 a) True % 5.12/5.32 Clause #23 (by clausification #[22]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (less a_1 a) True) % 5.12/5.32 Clause #24 (by superposition #[23, 1]): Or (Eq (less z0 y0) True) (Eq False True) % 5.12/5.32 Clause #25 (by clausification #[24]): Eq (less z0 y0) True % 5.12/5.32 Clause #27 (by superposition #[25, 19]): ∀ (a : rat), Or (Eq True False) (Or (Eq (lessis y0 a) False) (Eq (less z0 a) True)) % 5.12/5.32 Clause #28 (by clausification #[27]): ∀ (a : rat), Or (Eq (lessis y0 a) False) (Eq (less z0 a) True) % 5.12/5.32 Clause #29 (by superposition #[28, 20]): Or (Eq (less z0 x0) True) (Eq False True) % 5.12/5.32 Clause #30 (by clausification #[29]): Eq (less z0 x0) True % 5.12/5.32 Clause #31 (by superposition #[30, 10]): Or (Eq True False) (Eq (more x0 z0) True) % 5.12/5.32 Clause #33 (by clausification #[31]): Eq (more x0 z0) True % 5.12/5.32 Clause #34 (by superposition #[33, 7]): Eq True False % 5.12/5.32 Clause #36 (by clausification #[34]): False % 5.12/5.32 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------