TSTP Solution File: NUN018_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUN018_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 : Thu Aug 31 12:47:08 EDT 2023
% Result : Theorem 8.58s 8.77s
% Output : Proof 8.58s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN018_5 : TPTP v8.1.2. Released v6.0.0.
% 0.08/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n024.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 : Sun Aug 27 09:25:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 8.58/8.77 SZS status Theorem for theBenchmark.p
% 8.58/8.77 SZS output start Proof for theBenchmark.p
% 8.58/8.77 Clause #0 (by assumption #[]): Eq (Ne w (zero_zero int)) True
% 8.58/8.77 Clause #1 (by assumption #[]): Eq
% 8.58/8.77 (∀ (A : Type),
% 8.58/8.77 linordered_idom A →
% 8.58/8.77 ∀ (A1 : A),
% 8.58/8.77 Iff (ord_less A (zero_zero A) (power_power A A1 (number_number_of nat (bit0 (bit1 pls)))))
% 8.58/8.77 (Ne A1 (zero_zero A)))
% 8.58/8.77 True
% 8.58/8.77 Clause #37 (by assumption #[]): Eq (Eq pls (zero_zero int)) True
% 8.58/8.77 Clause #97 (by assumption #[]): Eq (linordered_idom int) True
% 8.58/8.77 Clause #120 (by assumption #[]): Eq (Not (ord_less int (zero_zero int) (power_power int w (number_number_of nat (bit0 (bit1 pls)))))) True
% 8.58/8.77 Clause #121 (by clausification #[0]): Ne w (zero_zero int)
% 8.58/8.77 Clause #122 (by clausification #[1]): ∀ (a : Type),
% 8.58/8.77 Eq
% 8.58/8.77 (linordered_idom a →
% 8.58/8.77 ∀ (A1 : a),
% 8.58/8.77 Iff (ord_less a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls)))))
% 8.58/8.77 (Ne A1 (zero_zero a)))
% 8.58/8.77 True
% 8.58/8.77 Clause #123 (by clausification #[122]): ∀ (a : Type),
% 8.58/8.77 Or (Eq (linordered_idom a) False)
% 8.58/8.77 (Eq
% 8.58/8.77 (∀ (A1 : a),
% 8.58/8.77 Iff (ord_less a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls)))))
% 8.58/8.77 (Ne A1 (zero_zero a)))
% 8.58/8.77 True)
% 8.58/8.77 Clause #124 (by clausification #[123]): ∀ (a : Type) (a_1 : a),
% 8.58/8.77 Or (Eq (linordered_idom a) False)
% 8.58/8.77 (Eq
% 8.58/8.77 (Iff (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls)))))
% 8.58/8.77 (Ne a_1 (zero_zero a)))
% 8.58/8.77 True)
% 8.58/8.77 Clause #125 (by clausification #[124]): ∀ (a : Type) (a_1 : a),
% 8.58/8.77 Or (Eq (linordered_idom a) False)
% 8.58/8.77 (Or (Eq (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True)
% 8.58/8.77 (Eq (Ne a_1 (zero_zero a)) False))
% 8.58/8.77 Clause #127 (by clausification #[125]): ∀ (a : Type) (a_1 : a),
% 8.58/8.77 Or (Eq (linordered_idom a) False)
% 8.58/8.77 (Or (Eq (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True)
% 8.58/8.77 (Eq a_1 (zero_zero a)))
% 8.58/8.77 Clause #132 (by superposition #[97, 127]): ∀ (a : int),
% 8.58/8.77 Or (Eq (ord_less int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True)
% 8.58/8.77 (Or (Eq a (zero_zero int)) (Eq False True))
% 8.58/8.77 Clause #150 (by clausification #[37]): Eq pls (zero_zero int)
% 8.58/8.77 Clause #151 (by backward demodulation #[150, 121]): Ne w pls
% 8.58/8.77 Clause #1293 (by clausification #[120]): Eq (ord_less int (zero_zero int) (power_power int w (number_number_of nat (bit0 (bit1 pls))))) False
% 8.58/8.77 Clause #1294 (by forward demodulation #[1293, 150]): Eq (ord_less int pls (power_power int w (number_number_of nat (bit0 (bit1 pls))))) False
% 8.58/8.77 Clause #1760 (by clausification #[132]): ∀ (a : int),
% 8.58/8.77 Or (Eq (ord_less int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True)
% 8.58/8.77 (Eq a (zero_zero int))
% 8.58/8.77 Clause #1761 (by forward demodulation #[1760, 150]): ∀ (a : int),
% 8.58/8.77 Or (Eq (ord_less int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) (Eq a (zero_zero int))
% 8.58/8.77 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)
% 8.58/8.77 Clause #1763 (by superposition #[1762, 1294]): Or (Eq w pls) (Eq True False)
% 8.58/8.77 Clause #1862 (by clausification #[1763]): Eq w pls
% 8.58/8.77 Clause #1863 (by forward contextual literal cutting #[1862, 151]): False
% 8.58/8.77 SZS output end Proof for theBenchmark.p
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