%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM793^1 : 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 07:57:22 PM UTC 2025 % Result : Theorem 3.64s 3.83s % Output : Proof 3.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM793^1 : TPTP v9.2.0. Released v3.7.0. % 0.06/0.13 % 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 07:53:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.64/3.83 SZS status Theorem for theBenchmark.p % 3.64/3.83 SZS output start Proof for theBenchmark.p % 3.64/3.83 Clause #0 (by assumption #[]): Eq (more x0 y0) True % 3.64/3.83 Clause #1 (by assumption #[]): Eq (moreis y0 z0) True % 3.64/3.83 Clause #2 (by assumption #[]): Eq (∀ (Xx0 Xy0 : rat), less Xx0 Xy0 → more Xy0 Xx0) True % 3.64/3.83 Clause #3 (by assumption #[]): Eq (∀ (Xx0 Xy0 Xz0 : rat), lessis Xx0 Xy0 → less Xy0 Xz0 → less Xx0 Xz0) True % 3.64/3.83 Clause #4 (by assumption #[]): Eq (∀ (Xx0 Xy0 : rat), moreis Xx0 Xy0 → lessis Xy0 Xx0) True % 3.64/3.83 Clause #5 (by assumption #[]): Eq (∀ (Xx0 Xy0 : rat), more Xx0 Xy0 → less Xy0 Xx0) True % 3.64/3.83 Clause #6 (by assumption #[]): Eq (Not (more x0 z0)) True % 3.64/3.83 Clause #7 (by clausification #[6]): Eq (more x0 z0) False % 3.64/3.83 Clause #8 (by clausification #[2]): ∀ (a : rat), Eq (∀ (Xy0 : rat), less a Xy0 → more Xy0 a) True % 3.64/3.83 Clause #9 (by clausification #[8]): ∀ (a a_1 : rat), Eq (less a a_1 → more a_1 a) True % 3.64/3.83 Clause #10 (by clausification #[9]): ∀ (a a_1 : rat), Or (Eq (less a a_1) False) (Eq (more a_1 a) True) % 3.64/3.83 Clause #11 (by clausification #[5]): ∀ (a : rat), Eq (∀ (Xy0 : rat), more a Xy0 → less Xy0 a) True % 3.64/3.83 Clause #12 (by clausification #[11]): ∀ (a a_1 : rat), Eq (more a a_1 → less a_1 a) True % 3.64/3.83 Clause #13 (by clausification #[12]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (less a_1 a) True) % 3.64/3.83 Clause #14 (by superposition #[13, 0]): Or (Eq (less y0 x0) True) (Eq False True) % 3.64/3.83 Clause #15 (by clausification #[3]): ∀ (a : rat), Eq (∀ (Xy0 Xz0 : rat), lessis a Xy0 → less Xy0 Xz0 → less a Xz0) True % 3.64/3.83 Clause #16 (by clausification #[15]): ∀ (a a_1 : rat), Eq (∀ (Xz0 : rat), lessis a a_1 → less a_1 Xz0 → less a Xz0) True % 3.64/3.83 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : rat), Eq (lessis a a_1 → less a_1 a_2 → less a a_2) True % 3.64/3.83 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : rat), Or (Eq (lessis a a_1) False) (Eq (less a_1 a_2 → less a a_2) True) % 3.64/3.83 Clause #19 (by clausification #[18]): ∀ (a a_1 a_2 : rat), Or (Eq (lessis a a_1) False) (Or (Eq (less a_1 a_2) False) (Eq (less a a_2) True)) % 3.64/3.83 Clause #20 (by clausification #[14]): Eq (less y0 x0) True % 3.64/3.83 Clause #22 (by clausification #[4]): ∀ (a : rat), Eq (∀ (Xy0 : rat), moreis a Xy0 → lessis Xy0 a) True % 3.64/3.83 Clause #23 (by clausification #[22]): ∀ (a a_1 : rat), Eq (moreis a a_1 → lessis a_1 a) True % 3.64/3.83 Clause #24 (by clausification #[23]): ∀ (a a_1 : rat), Or (Eq (moreis a a_1) False) (Eq (lessis a_1 a) True) % 3.64/3.83 Clause #25 (by superposition #[24, 1]): Or (Eq (lessis z0 y0) True) (Eq False True) % 3.64/3.83 Clause #26 (by clausification #[25]): Eq (lessis z0 y0) True % 3.64/3.83 Clause #27 (by superposition #[26, 19]): ∀ (a : rat), Or (Eq True False) (Or (Eq (less y0 a) False) (Eq (less z0 a) True)) % 3.64/3.83 Clause #28 (by clausification #[27]): ∀ (a : rat), Or (Eq (less y0 a) False) (Eq (less z0 a) True) % 3.64/3.83 Clause #29 (by superposition #[28, 20]): Or (Eq (less z0 x0) True) (Eq False True) % 3.64/3.83 Clause #30 (by clausification #[29]): Eq (less z0 x0) True % 3.64/3.83 Clause #31 (by superposition #[30, 10]): Or (Eq True False) (Eq (more x0 z0) True) % 3.64/3.83 Clause #32 (by clausification #[31]): Eq (more x0 z0) True % 3.64/3.83 Clause #33 (by superposition #[32, 7]): Eq True False % 3.64/3.83 Clause #35 (by clausification #[33]): False % 3.64/3.83 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------