%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM970_5 : TPTP v9.2.0. Released v6.0.0. % 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 07:57:40 PM UTC 2025 % Result : Theorem 8.51s 8.74s % Output : Proof 8.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM970_5 : TPTP v9.2.0. Released v6.0.0. % 0.06/0.13 % Command : duper %s % 0.12/0.34 % Computer : n018.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Fri Oct 3 07:09:08 EDT 2025 % 0.12/0.34 % CPUTime : % 8.51/8.74 SZS status Theorem for theBenchmark.p % 8.51/8.74 SZS output start Proof for theBenchmark.p % 8.51/8.74 Clause #11 (by assumption #[]): Eq % 8.51/8.74 (∀ (A : Type), % 8.51/8.74 linordered_idom A → % 8.51/8.74 ∀ (A2 : A), ord_less_eq A (zero_zero A) (power_power A A2 (number_number_of nat (bit0 (bit1 pls))))) % 8.51/8.74 True % 8.51/8.74 Clause #33 (by assumption #[]): Eq (Eq pls (zero_zero int)) True % 8.51/8.74 Clause #97 (by assumption #[]): Eq (linordered_idom int) True % 8.51/8.74 Clause #132 (by assumption #[]): Eq (Not (ord_less_eq int (zero_zero int) (power_power int s (number_number_of nat (bit0 (bit1 pls)))))) True % 8.51/8.74 Clause #179 (by clausification #[33]): Eq pls (zero_zero int) % 8.51/8.74 Clause #240 (by clausification #[11]): ∀ (a : Type), % 8.51/8.74 Eq % 8.51/8.74 (linordered_idom a → % 8.51/8.74 ∀ (A2 : a), ord_less_eq a (zero_zero a) (power_power a A2 (number_number_of nat (bit0 (bit1 pls))))) % 8.51/8.74 True % 8.51/8.74 Clause #241 (by clausification #[240]): ∀ (a : Type), % 8.51/8.74 Or (Eq (linordered_idom a) False) % 8.51/8.74 (Eq (∀ (A2 : a), ord_less_eq a (zero_zero a) (power_power a A2 (number_number_of nat (bit0 (bit1 pls))))) True) % 8.51/8.74 Clause #242 (by clausification #[241]): ∀ (a : Type) (a_1 : a), % 8.51/8.74 Or (Eq (linordered_idom a) False) % 8.51/8.74 (Eq (ord_less_eq a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True) % 8.51/8.74 Clause #243 (by superposition #[242, 97]): ∀ (a : int), % 8.51/8.74 Or (Eq (ord_less_eq int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) % 8.51/8.74 (Eq False True) % 8.51/8.74 Clause #1505 (by clausification #[132]): Eq (ord_less_eq int (zero_zero int) (power_power int s (number_number_of nat (bit0 (bit1 pls))))) False % 8.51/8.74 Clause #1506 (by forward demodulation #[1505, 179]): Eq (ord_less_eq int pls (power_power int s (number_number_of nat (bit0 (bit1 pls))))) False % 8.51/8.74 Clause #1750 (by clausification #[243]): ∀ (a : int), Eq (ord_less_eq int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True % 8.51/8.74 Clause #1751 (by forward demodulation #[1750, 179]): ∀ (a : int), Eq (ord_less_eq int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True % 8.51/8.74 Clause #1752 (by superposition #[1751, 1506]): Eq True False % 8.51/8.74 Clause #1763 (by clausification #[1752]): False % 8.51/8.74 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------