%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUN018_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n027.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 8.20s 8.38s % Output : Proof 8.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUN018_5 : TPTP v9.2.0. Released v6.0.0. % 0.07/0.13 % Command : duper %s % 0.13/0.33 % Computer : n027.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 11:39:08 EDT 2025 % 0.13/0.34 % CPUTime : % 8.20/8.38 SZS status Theorem for theBenchmark.p % 8.20/8.38 SZS output start Proof for theBenchmark.p % 8.20/8.38 Clause #0 (by assumption #[]): Eq (Ne w (zero_zero int)) True % 8.20/8.38 Clause #1 (by assumption #[]): Eq % 8.20/8.38 (∀ (A : Type), % 8.20/8.38 linordered_idom A → % 8.20/8.38 ∀ (A1 : A), % 8.20/8.38 Iff (ord_less A (zero_zero A) (power_power A A1 (number_number_of nat (bit0 (bit1 pls))))) % 8.20/8.38 (Ne A1 (zero_zero A))) % 8.20/8.38 True % 8.20/8.38 Clause #37 (by assumption #[]): Eq (Eq pls (zero_zero int)) True % 8.20/8.38 Clause #97 (by assumption #[]): Eq (linordered_idom int) True % 8.20/8.38 Clause #120 (by assumption #[]): Eq (Not (ord_less int (zero_zero int) (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) True % 8.20/8.38 Clause #121 (by clausification #[0]): Ne w (zero_zero int) % 8.20/8.38 Clause #122 (by clausification #[1]): ∀ (a : Type), % 8.20/8.38 Eq % 8.20/8.38 (linordered_idom a → % 8.20/8.38 ∀ (A1 : a), % 8.20/8.38 Iff (ord_less a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls))))) % 8.20/8.38 (Ne A1 (zero_zero a))) % 8.20/8.38 True % 8.20/8.38 Clause #123 (by clausification #[122]): ∀ (a : Type), % 8.20/8.38 Or (Eq (linordered_idom a) False) % 8.20/8.38 (Eq % 8.20/8.38 (∀ (A1 : a), % 8.20/8.38 Iff (ord_less a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls))))) % 8.20/8.38 (Ne A1 (zero_zero a))) % 8.20/8.38 True) % 8.20/8.38 Clause #124 (by clausification #[123]): ∀ (a : Type) (a_1 : a), % 8.20/8.38 Or (Eq (linordered_idom a) False) % 8.20/8.38 (Eq % 8.20/8.38 (Iff (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) % 8.20/8.38 (Ne a_1 (zero_zero a))) % 8.20/8.38 True) % 8.20/8.38 Clause #125 (by clausification #[124]): ∀ (a : Type) (a_1 : a), % 8.20/8.38 Or (Eq (linordered_idom a) False) % 8.20/8.38 (Or (Eq (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True) % 8.20/8.38 (Eq (Ne a_1 (zero_zero a)) False)) % 8.20/8.38 Clause #127 (by clausification #[125]): ∀ (a : Type) (a_1 : a), % 8.20/8.38 Or (Eq (linordered_idom a) False) % 8.20/8.38 (Or (Eq (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True) % 8.20/8.38 (Eq a_1 (zero_zero a))) % 8.20/8.38 Clause #132 (by superposition #[97, 127]): ∀ (a : int), % 8.20/8.38 Or (Eq (ord_less int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) % 8.20/8.38 (Or (Eq a (zero_zero int)) (Eq False True)) % 8.20/8.38 Clause #150 (by clausification #[37]): Eq pls (zero_zero int) % 8.20/8.38 Clause #151 (by backward demodulation #[150, 121]): Ne w pls % 8.20/8.38 Clause #1293 (by clausification #[120]): Eq (ord_less int (zero_zero int) (power_power int w (number_number_of nat (bit0 (bit1 pls))))) False % 8.20/8.38 Clause #1294 (by forward demodulation #[1293, 150]): Eq (ord_less int pls (power_power int w (number_number_of nat (bit0 (bit1 pls))))) False % 8.20/8.38 Clause #1760 (by clausification #[132]): ∀ (a : int), % 8.20/8.38 Or (Eq (ord_less int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) % 8.20/8.38 (Eq a (zero_zero int)) % 8.20/8.38 Clause #1761 (by forward demodulation #[1760, 150]): ∀ (a : int), % 8.20/8.38 Or (Eq (ord_less int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) (Eq a (zero_zero int)) % 8.20/8.38 Clause #1762 (by forward demodulation #[1761, 150]): ∀ (a : int), Or (Eq (ord_less int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) (Eq a pls) % 8.20/8.38 Clause #1763 (by superposition #[1762, 1294]): Or (Eq w pls) (Eq True False) % 8.20/8.38 Clause #1862 (by clausification #[1763]): Eq w pls % 8.20/8.38 Clause #1863 (by forward contextual literal cutting #[1862, 151]): False % 8.20/8.38 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------