%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUN015_5 : TPTP v9.2.0. Released v6.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n019.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 07:57:43 PM UTC 2025 % Result : Theorem 9.55s 9.81s % Output : Proof 9.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUN015_5 : TPTP v9.2.0. Released v6.0.0. % 0.11/0.13 % Command : duper %s % 0.12/0.34 % Computer : n019.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 : Thu Oct 2 11:31:08 EDT 2025 % 0.12/0.34 % CPUTime : % 9.55/9.81 SZS status Theorem for theBenchmark.p % 9.55/9.81 SZS output start Proof for theBenchmark.p % 9.55/9.81 Clause #0 (by assumption #[]): Eq (Ne v (zero_zero int)) True % 9.55/9.81 Clause #1 (by assumption #[]): Eq % 9.55/9.81 (∀ (A : Type), % 9.55/9.81 linordered_idom A → % 9.55/9.81 ∀ (A1 : A), % 9.55/9.81 Iff (ord_less A (zero_zero A) (power_power A A1 (number_number_of nat (bit0 (bit1 pls))))) % 9.55/9.81 (Ne A1 (zero_zero A))) % 9.55/9.81 True % 9.55/9.81 Clause #37 (by assumption #[]): Eq (Eq pls (zero_zero int)) True % 9.55/9.81 Clause #97 (by assumption #[]): Eq (linordered_idom int) True % 9.55/9.81 Clause #120 (by assumption #[]): Eq (Not (ord_less int (zero_zero int) (power_power int v (number_number_of nat (bit0 (bit1 pls)))))) True % 9.55/9.81 Clause #121 (by clausification #[0]): Ne v (zero_zero int) % 9.55/9.81 Clause #122 (by clausification #[1]): ∀ (a : Type), % 9.55/9.81 Eq % 9.55/9.81 (linordered_idom a → % 9.55/9.81 ∀ (A1 : a), % 9.55/9.81 Iff (ord_less a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls))))) % 9.55/9.81 (Ne A1 (zero_zero a))) % 9.55/9.81 True % 9.55/9.81 Clause #123 (by clausification #[122]): ∀ (a : Type), % 9.55/9.81 Or (Eq (linordered_idom a) False) % 9.55/9.81 (Eq % 9.55/9.81 (∀ (A1 : a), % 9.55/9.81 Iff (ord_less a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls))))) % 9.55/9.81 (Ne A1 (zero_zero a))) % 9.55/9.81 True) % 9.55/9.81 Clause #124 (by clausification #[123]): ∀ (a : Type) (a_1 : a), % 9.55/9.81 Or (Eq (linordered_idom a) False) % 9.55/9.81 (Eq % 9.55/9.81 (Iff (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) % 9.55/9.81 (Ne a_1 (zero_zero a))) % 9.55/9.81 True) % 9.55/9.81 Clause #125 (by clausification #[124]): ∀ (a : Type) (a_1 : a), % 9.55/9.81 Or (Eq (linordered_idom a) False) % 9.55/9.81 (Or (Eq (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True) % 9.55/9.81 (Eq (Ne a_1 (zero_zero a)) False)) % 9.55/9.81 Clause #127 (by clausification #[125]): ∀ (a : Type) (a_1 : a), % 9.55/9.81 Or (Eq (linordered_idom a) False) % 9.55/9.81 (Or (Eq (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True) % 9.55/9.81 (Eq a_1 (zero_zero a))) % 9.55/9.81 Clause #132 (by superposition #[97, 127]): ∀ (a : int), % 9.55/9.81 Or (Eq (ord_less int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) % 9.55/9.81 (Or (Eq a (zero_zero int)) (Eq False True)) % 9.55/9.81 Clause #150 (by clausification #[37]): Eq pls (zero_zero int) % 9.55/9.81 Clause #151 (by backward demodulation #[150, 121]): Ne v pls % 9.55/9.81 Clause #981 (by clausification #[120]): Eq (ord_less int (zero_zero int) (power_power int v (number_number_of nat (bit0 (bit1 pls))))) False % 9.55/9.81 Clause #982 (by forward demodulation #[981, 150]): Eq (ord_less int pls (power_power int v (number_number_of nat (bit0 (bit1 pls))))) False % 9.55/9.81 Clause #1973 (by clausification #[132]): ∀ (a : int), % 9.55/9.81 Or (Eq (ord_less int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) % 9.55/9.81 (Eq a (zero_zero int)) % 9.55/9.81 Clause #1974 (by forward demodulation #[1973, 150]): ∀ (a : int), % 9.55/9.81 Or (Eq (ord_less int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) (Eq a (zero_zero int)) % 9.55/9.81 Clause #1975 (by forward demodulation #[1974, 150]): ∀ (a : int), Or (Eq (ord_less int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) (Eq a pls) % 9.55/9.81 Clause #1976 (by superposition #[1975, 982]): Or (Eq v pls) (Eq True False) % 9.55/9.81 Clause #2077 (by clausification #[1976]): Eq v pls % 9.55/9.81 Clause #2078 (by forward contextual literal cutting #[2077, 151]): False % 9.55/9.81 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------