%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM784^1 : 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 07:57:19 PM UTC 2025 % Result : Theorem 3.56s 3.80s % Output : Proof 3.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM784^1 : TPTP v9.2.0. Released v3.7.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n015.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 09:00:08 EDT 2025 % 0.13/0.34 % CPUTime : % 3.56/3.80 SZS status Theorem for theBenchmark.p % 3.56/3.80 SZS output start Proof for theBenchmark.p % 3.56/3.80 Clause #0 (by assumption #[]): Eq (Not (more x0 y0) → is x0 y0) True % 3.56/3.80 Clause #2 (by assumption #[]): Eq % 3.56/3.80 (∀ (Xx0 Xy0 : rat), % 3.56/3.80 Not % 3.56/3.80 ((is Xx0 Xy0 → Not (more Xx0 Xy0)) → % 3.56/3.80 Not (Not ((more Xx0 Xy0 → Not (less Xx0 Xy0)) → Not (less Xx0 Xy0 → Not (is Xx0 Xy0)))))) % 3.56/3.80 True % 3.56/3.80 Clause #3 (by assumption #[]): Eq (Not (Not (less x0 y0))) True % 3.56/3.80 Clause #8 (by clausification #[0]): Or (Eq (Not (more x0 y0)) False) (Eq (is x0 y0) True) % 3.56/3.80 Clause #9 (by clausification #[8]): Or (Eq (is x0 y0) True) (Eq (more x0 y0) True) % 3.56/3.80 Clause #10 (by clausification #[3]): Eq (Not (less x0 y0)) False % 3.56/3.80 Clause #11 (by clausification #[10]): Eq (less x0 y0) True % 3.56/3.80 Clause #12 (by clausification #[2]): ∀ (a : rat), % 3.56/3.80 Eq % 3.56/3.80 (∀ (Xy0 : rat), % 3.56/3.80 Not % 3.56/3.80 ((is a Xy0 → Not (more a Xy0)) → % 3.56/3.80 Not (Not ((more a Xy0 → Not (less a Xy0)) → Not (less a Xy0 → Not (is a Xy0)))))) % 3.56/3.80 True % 3.56/3.80 Clause #13 (by clausification #[12]): ∀ (a a_1 : rat), % 3.56/3.80 Eq % 3.56/3.80 (Not % 3.56/3.80 ((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)))))) % 3.56/3.80 True % 3.56/3.80 Clause #14 (by clausification #[13]): ∀ (a a_1 : rat), % 3.56/3.80 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))))) % 3.56/3.80 False % 3.56/3.80 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 % 3.56/3.80 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 % 3.56/3.80 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 % 3.56/3.80 Clause #21 (by clausification #[20]): ∀ (a a_1 : rat), Eq (more a a_1 → Not (less a a_1)) True % 3.56/3.80 Clause #22 (by clausification #[20]): ∀ (a a_1 : rat), Eq (Not (less a a_1 → Not (is a a_1))) False % 3.56/3.80 Clause #23 (by clausification #[21]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (Not (less a a_1)) True) % 3.56/3.80 Clause #24 (by clausification #[23]): ∀ (a a_1 : rat), Or (Eq (more a a_1) False) (Eq (less a a_1) False) % 3.56/3.80 Clause #26 (by clausification #[22]): ∀ (a a_1 : rat), Eq (less a a_1 → Not (is a a_1)) True % 3.56/3.80 Clause #27 (by clausification #[26]): ∀ (a a_1 : rat), Or (Eq (less a a_1) False) (Eq (Not (is a a_1)) True) % 3.56/3.80 Clause #28 (by clausification #[27]): ∀ (a a_1 : rat), Or (Eq (less a a_1) False) (Eq (is a a_1) False) % 3.56/3.80 Clause #29 (by superposition #[28, 11]): Or (Eq (is x0 y0) False) (Eq False True) % 3.56/3.80 Clause #30 (by clausification #[29]): Eq (is x0 y0) False % 3.56/3.80 Clause #31 (by backward demodulation #[30, 9]): Or (Eq False True) (Eq (more x0 y0) True) % 3.56/3.80 Clause #32 (by clausification #[31]): Eq (more x0 y0) True % 3.56/3.80 Clause #33 (by superposition #[32, 24]): Or (Eq True False) (Eq (less x0 y0) False) % 3.56/3.80 Clause #34 (by clausification #[33]): Eq (less x0 y0) False % 3.56/3.80 Clause #35 (by superposition #[34, 11]): Eq False True % 3.56/3.80 Clause #36 (by clausification #[35]): False % 3.56/3.80 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------