%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM785^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n001.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 07:57:19 PM UTC 2025 % Result : Theorem 3.53s 3.69s % Output : Proof 3.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM785^1 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n001.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Fri Oct 3 06:56:38 EDT 2025 % 0.13/0.35 % CPUTime : % 3.53/3.69 SZS status Theorem for theBenchmark.p % 3.53/3.69 SZS output start Proof for theBenchmark.p % 3.53/3.69 Clause #0 (by assumption #[]): Eq (Not (less x0 y0) → is x0 y0) True % 3.53/3.69 Clause #2 (by assumption #[]): Eq % 3.53/3.69 (∀ (Xx0 Xy0 : rat), % 3.53/3.69 Not % 3.53/3.69 ((is Xx0 Xy0 → Not (more Xx0 Xy0)) → % 3.53/3.69 Not (Not ((more Xx0 Xy0 → Not (less Xx0 Xy0)) → Not (less Xx0 Xy0 → Not (is Xx0 Xy0)))))) % 3.53/3.69 True % 3.53/3.69 Clause #3 (by assumption #[]): Eq (Not (Not (more x0 y0))) True % 3.53/3.69 Clause #8 (by clausification #[0]): Or (Eq (Not (less x0 y0)) False) (Eq (is x0 y0) True) % 3.53/3.69 Clause #9 (by clausification #[8]): Or (Eq (is x0 y0) True) (Eq (less x0 y0) True) % 3.53/3.69 Clause #10 (by clausification #[3]): Eq (Not (more x0 y0)) False % 3.53/3.69 Clause #11 (by clausification #[10]): Eq (more x0 y0) True % 3.53/3.69 Clause #12 (by clausification #[2]): ∀ (a : rat), % 3.53/3.69 Eq % 3.53/3.69 (∀ (Xy0 : rat), % 3.53/3.69 Not % 3.53/3.69 ((is a Xy0 → Not (more a Xy0)) → % 3.53/3.69 Not (Not ((more a Xy0 → Not (less a Xy0)) → Not (less a Xy0 → Not (is a Xy0)))))) % 3.53/3.69 True % 3.53/3.69 Clause #13 (by clausification #[12]): ∀ (a a_1 : rat), % 3.53/3.69 Eq % 3.53/3.69 (Not % 3.53/3.69 ((is a a_1 → Not (more a a_1)) → Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1)))))) % 3.53/3.69 True % 3.53/3.69 Clause #14 (by clausification #[13]): ∀ (a a_1 : rat), % 3.53/3.69 Eq ((is a a_1 → Not (more a a_1)) → Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1))))) % 3.53/3.69 False % 3.53/3.69 Clause #15 (by clausification #[14]): ∀ (a a_1 : rat), Eq (is a a_1 → Not (more a a_1)) True % 3.53/3.69 Clause #16 (by clausification #[14]): ∀ (a a_1 : rat), Eq (Not (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1))))) False % 3.53/3.69 Clause #17 (by clausification #[15]): ∀ (a a_1 : rat), Or (Eq (is a a_1) False) (Eq (Not (more a a_1)) True) % 3.53/3.69 Clause #18 (by clausification #[17]): ∀ (a a_1 : rat), Or (Eq (is a a_1) False) (Eq (more a a_1) False) % 3.53/3.69 Clause #19 (by clausification #[16]): ∀ (a a_1 : rat), Eq (Not ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1)))) True % 3.53/3.69 Clause #20 (by clausification #[19]): ∀ (a a_1 : rat), Eq ((more a a_1 → Not (less a a_1)) → Not (less a a_1 → Not (is a a_1))) False % 3.53/3.69 Clause #21 (by clausification #[20]): ∀ (a a_1 : rat), Eq (more a a_1 → Not (less a a_1)) True % 3.53/3.69 Clause #23 (by clausification #[21]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (Not (less a a_1)) True) % 3.53/3.69 Clause #24 (by clausification #[23]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (less a a_1) False) % 3.53/3.69 Clause #25 (by superposition #[24, 11]): Or (Eq (less x0 y0) False) (Eq False True) % 3.53/3.69 Clause #30 (by clausification #[25]): Eq (less x0 y0) False % 3.53/3.69 Clause #31 (by superposition #[30, 9]): Or (Eq (is x0 y0) True) (Eq False True) % 3.53/3.69 Clause #32 (by clausification #[31]): Eq (is x0 y0) True % 3.53/3.69 Clause #34 (by superposition #[32, 18]): Or (Eq True False) (Eq (more x0 y0) False) % 3.53/3.69 Clause #35 (by clausification #[34]): Eq (more x0 y0) False % 3.53/3.69 Clause #36 (by superposition #[35, 11]): Eq False True % 3.53/3.69 Clause #37 (by clausification #[36]): False % 3.53/3.69 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------