%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUN016_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n009.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 07:57:44 PM UTC 2025 % Result : Theorem 11.24s 11.41s % Output : Proof 11.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : NUN016_5 : TPTP v9.2.0. Released v6.0.0. % 0.13/0.14 % Command : duper %s % 0.14/0.35 % Computer : n009.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 300 % 0.14/0.35 % DateTime : Thu Oct 2 11:41:38 EDT 2025 % 0.20/0.35 % CPUTime : % 11.24/11.41 SZS status Theorem for theBenchmark.p % 11.24/11.41 SZS output start Proof for theBenchmark.p % 11.24/11.41 Clause #12 (by assumption #[]): Eq % 11.24/11.41 (∀ (A : Type), % 11.24/11.41 linordered_idom A → % 11.24/11.41 ∀ (A1 : A), ord_less_eq A (zero_zero A) (power_power A A1 (number_number_of nat (bit0 (bit1 pls))))) % 11.24/11.41 True % 11.24/11.41 Clause #35 (by assumption #[]): Eq (Eq pls (zero_zero int)) True % 11.24/11.41 Clause #96 (by assumption #[]): Eq (linordered_idom int) True % 11.24/11.41 Clause #118 (by assumption #[]): Eq (Not (ord_less_eq int (zero_zero int) (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) True % 11.24/11.41 Clause #150 (by clausification #[35]): Eq pls (zero_zero int) % 11.24/11.41 Clause #272 (by clausification #[12]): ∀ (a : Type), % 11.24/11.41 Eq % 11.24/11.41 (linordered_idom a → % 11.24/11.41 ∀ (A1 : a), ord_less_eq a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls))))) % 11.24/11.41 True % 11.24/11.41 Clause #273 (by clausification #[272]): ∀ (a : Type), % 11.24/11.41 Or (Eq (linordered_idom a) False) % 11.24/11.41 (Eq (∀ (A1 : a), ord_less_eq a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls))))) True) % 11.24/11.41 Clause #274 (by clausification #[273]): ∀ (a : Type) (a_1 : a), % 11.24/11.41 Or (Eq (linordered_idom a) False) % 11.24/11.41 (Eq (ord_less_eq a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True) % 11.24/11.41 Clause #275 (by superposition #[274, 96]): ∀ (a : int), % 11.24/11.41 Or (Eq (ord_less_eq int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) % 11.24/11.41 (Eq False True) % 11.24/11.41 Clause #1938 (by clausification #[118]): Eq (ord_less_eq int (zero_zero int) (power_power int w (number_number_of nat (bit0 (bit1 pls))))) False % 11.24/11.41 Clause #1939 (by forward demodulation #[1938, 150]): Eq (ord_less_eq int pls (power_power int w (number_number_of nat (bit0 (bit1 pls))))) False % 11.24/11.41 Clause #2222 (by clausification #[275]): ∀ (a : int), Eq (ord_less_eq int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True % 11.24/11.41 Clause #2223 (by forward demodulation #[2222, 150]): ∀ (a : int), Eq (ord_less_eq int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True % 11.24/11.41 Clause #2224 (by superposition #[2223, 1939]): Eq True False % 11.24/11.41 Clause #2237 (by clausification #[2224]): False % 11.24/11.41 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------