%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM789^1 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n021.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 5.46s 5.72s % Output : Proof 5.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : NUM789^1 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.12 % Command : duper %s % 0.11/0.32 % Computer : n021.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 08:06:08 EDT 2025 % 0.11/0.32 % CPUTime : % 5.46/5.72 SZS status Theorem for theBenchmark.p % 5.46/5.72 SZS output start Proof for theBenchmark.p % 5.46/5.72 Clause #0 (by assumption #[]): Eq (less x0 y0) True % 5.46/5.72 Clause #2 (by assumption #[]): Eq % 5.46/5.72 (∀ (Xx0 Xy0 : rat), % 5.46/5.72 Not % 5.46/5.72 ((is Xx0 Xy0 → Not (more Xx0 Xy0)) → % 5.46/5.72 Not (Not ((more Xx0 Xy0 → Not (less Xx0 Xy0)) → Not (less Xx0 Xy0 → Not (is Xx0 Xy0)))))) % 5.46/5.72 True % 5.46/5.72 Clause #3 (by assumption #[]): Eq (Not (Not (Not (more x0 y0) → is x0 y0))) True % 5.46/5.72 Clause #8 (by clausification #[3]): Eq (Not (Not (more x0 y0) → is x0 y0)) False % 5.46/5.72 Clause #9 (by clausification #[8]): Eq (Not (more x0 y0) → is x0 y0) True % 5.46/5.72 Clause #10 (by clausification #[9]): Or (Eq (Not (more x0 y0)) False) (Eq (is x0 y0) True) % 5.46/5.72 Clause #11 (by clausification #[10]): Or (Eq (is x0 y0) True) (Eq (more x0 y0) True) % 5.46/5.72 Clause #12 (by clausification #[2]): ∀ (a : rat), % 5.46/5.72 Eq % 5.46/5.72 (∀ (Xy0 : rat), % 5.46/5.72 Not % 5.46/5.72 ((is a Xy0 → Not (more a Xy0)) → % 5.46/5.72 Not (Not ((more a Xy0 → Not (less a Xy0)) → Not (less a Xy0 → Not (is a Xy0)))))) % 5.46/5.72 True % 5.46/5.72 Clause #13 (by clausification #[12]): ∀ (a a_1 : rat), % 5.46/5.72 Eq % 5.46/5.72 (Not % 5.46/5.72 ((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)))))) % 5.46/5.72 True % 5.46/5.72 Clause #14 (by clausification #[13]): ∀ (a a_1 : rat), % 5.46/5.72 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))))) % 5.46/5.72 False % 5.46/5.72 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 % 5.46/5.72 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 % 5.46/5.72 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 % 5.46/5.72 Clause #21 (by clausification #[20]): ∀ (a a_1 : rat), Eq (more a a_1 → Not (less a a_1)) True % 5.46/5.72 Clause #22 (by clausification #[20]): ∀ (a a_1 : rat), Eq (Not (less a a_1 → Not (is a a_1))) False % 5.46/5.72 Clause #23 (by clausification #[21]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (Not (less a a_1)) True) % 5.46/5.72 Clause #24 (by clausification #[23]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (less a a_1) False) % 5.46/5.72 Clause #26 (by clausification #[22]): ∀ (a a_1 : rat), Eq (less a a_1 → Not (is a a_1)) True % 5.46/5.72 Clause #27 (by clausification #[26]): ∀ (a a_1 : rat), Or (Eq (less a a_1) False) (Eq (Not (is a a_1)) True) % 5.46/5.72 Clause #28 (by clausification #[27]): ∀ (a a_1 : rat), Or (Eq (less a a_1) False) (Eq (is a a_1) False) % 5.46/5.72 Clause #29 (by superposition #[28, 0]): Or (Eq (is x0 y0) False) (Eq False True) % 5.46/5.72 Clause #30 (by clausification #[29]): Eq (is x0 y0) False % 5.46/5.72 Clause #31 (by backward demodulation #[30, 11]): Or (Eq False True) (Eq (more x0 y0) True) % 5.46/5.72 Clause #32 (by clausification #[31]): Eq (more x0 y0) True % 5.46/5.72 Clause #33 (by superposition #[32, 24]): Or (Eq True False) (Eq (less x0 y0) False) % 5.46/5.72 Clause #34 (by clausification #[33]): Eq (less x0 y0) False % 5.46/5.72 Clause #35 (by superposition #[34, 0]): Eq False True % 5.46/5.72 Clause #36 (by clausification #[35]): False % 5.46/5.72 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------