TSTP Solution File: NUM925_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM925_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.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 10:58:17 EDT 2023
% Result : Theorem 16.78s 16.99s
% Output : Proof 16.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925_5 : TPTP v8.1.2. Released v6.0.0.
% 0.03/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 09:54:27 EDT 2023
% 0.14/0.34 % CPUTime :
% 16.78/16.99 SZS status Theorem for theBenchmark.p
% 16.78/16.99 SZS output start Proof for theBenchmark.p
% 16.78/16.99 Clause #0 (by assumption #[]): Eq (ord_less int (zero_zero int) (plus_plus int (one_one int) (semiring_1_of_nat int n))) True
% 16.78/16.99 Clause #26 (by assumption #[]): Eq (Not (ord_less int pls pls)) True
% 16.78/16.99 Clause #45 (by assumption #[]): Eq
% 16.78/16.99 (∀ (A : Type),
% 16.78/16.99 linordered_idom A →
% 16.78/16.99 ∀ (A1 : A),
% 16.78/16.99 Iff (ord_less A (zero_zero A) (power_power A A1 (number_number_of nat (bit0 (bit1 pls)))))
% 16.78/16.99 (Ne A1 (zero_zero A)))
% 16.78/16.99 True
% 16.78/16.99 Clause #68 (by assumption #[]): Eq (Eq pls (zero_zero int)) True
% 16.78/16.99 Clause #69 (by assumption #[]): Eq (∀ (K : int), Eq (plus_plus int K pls) K) True
% 16.78/16.99 Clause #77 (by assumption #[]): Eq (∀ (K : int), Eq (bit1 K) (plus_plus int (plus_plus int (one_one int) K) K)) True
% 16.78/16.99 Clause #99 (by assumption #[]): Eq (linordered_idom int) True
% 16.78/16.99 Clause #134 (by assumption #[]): Eq
% 16.78/16.99 (Not
% 16.78/16.99 (Ne
% 16.78/16.99 (power_power int (plus_plus int (one_one int) (semiring_1_of_nat int n)) (number_number_of nat (bit0 (bit1 pls))))
% 16.78/16.99 (zero_zero int)))
% 16.78/16.99 True
% 16.78/16.99 Clause #168 (by clausification #[68]): Eq pls (zero_zero int)
% 16.78/16.99 Clause #169 (by backward demodulation #[168, 0]): Eq (ord_less int pls (plus_plus int (one_one int) (semiring_1_of_nat int n))) True
% 16.78/16.99 Clause #175 (by clausification #[26]): Eq (ord_less int pls pls) False
% 16.78/16.99 Clause #223 (by clausification #[69]): ∀ (a : int), Eq (Eq (plus_plus int a pls) a) True
% 16.78/16.99 Clause #224 (by clausification #[223]): ∀ (a : int), Eq (plus_plus int a pls) a
% 16.78/16.99 Clause #582 (by clausification #[45]): ∀ (a : Type),
% 16.78/16.99 Eq
% 16.78/16.99 (linordered_idom a →
% 16.78/16.99 ∀ (A1 : a),
% 16.78/16.99 Iff (ord_less a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls)))))
% 16.78/16.99 (Ne A1 (zero_zero a)))
% 16.78/16.99 True
% 16.78/16.99 Clause #583 (by clausification #[582]): ∀ (a : Type),
% 16.78/16.99 Or (Eq (linordered_idom a) False)
% 16.78/16.99 (Eq
% 16.78/16.99 (∀ (A1 : a),
% 16.78/16.99 Iff (ord_less a (zero_zero a) (power_power a A1 (number_number_of nat (bit0 (bit1 pls)))))
% 16.78/16.99 (Ne A1 (zero_zero a)))
% 16.78/16.99 True)
% 16.78/16.99 Clause #584 (by clausification #[583]): ∀ (a : Type) (a_1 : a),
% 16.78/16.99 Or (Eq (linordered_idom a) False)
% 16.78/16.99 (Eq
% 16.78/16.99 (Iff (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls)))))
% 16.78/16.99 (Ne a_1 (zero_zero a)))
% 16.78/16.99 True)
% 16.78/16.99 Clause #585 (by clausification #[584]): ∀ (a : Type) (a_1 : a),
% 16.78/16.99 Or (Eq (linordered_idom a) False)
% 16.78/16.99 (Or (Eq (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True)
% 16.78/16.99 (Eq (Ne a_1 (zero_zero a)) False))
% 16.78/16.99 Clause #587 (by clausification #[585]): ∀ (a : Type) (a_1 : a),
% 16.78/16.99 Or (Eq (linordered_idom a) False)
% 16.78/16.99 (Or (Eq (ord_less a (zero_zero a) (power_power a a_1 (number_number_of nat (bit0 (bit1 pls))))) True)
% 16.78/16.99 (Eq a_1 (zero_zero a)))
% 16.78/16.99 Clause #588 (by superposition #[587, 99]): ∀ (a : int),
% 16.78/16.99 Or (Eq (ord_less int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True)
% 16.78/16.99 (Or (Eq a (zero_zero int)) (Eq False True))
% 16.78/16.99 Clause #591 (by clausification #[77]): ∀ (a : int), Eq (Eq (bit1 a) (plus_plus int (plus_plus int (one_one int) a) a)) True
% 16.78/16.99 Clause #592 (by clausification #[591]): ∀ (a : int), Eq (bit1 a) (plus_plus int (plus_plus int (one_one int) a) a)
% 16.78/16.99 Clause #593 (by superposition #[592, 224]): Eq (bit1 pls) (plus_plus int (one_one int) pls)
% 16.78/16.99 Clause #595 (by superposition #[593, 224]): Eq (bit1 pls) (one_one int)
% 16.78/16.99 Clause #601 (by backward demodulation #[595, 169]): Eq (ord_less int pls (plus_plus int (bit1 pls) (semiring_1_of_nat int n))) True
% 16.78/16.99 Clause #1108 (by clausification #[134]): Eq
% 16.78/16.99 (Ne (power_power int (plus_plus int (one_one int) (semiring_1_of_nat int n)) (number_number_of nat (bit0 (bit1 pls))))
% 16.78/16.99 (zero_zero int))
% 16.78/16.99 False
% 16.78/16.99 Clause #1109 (by clausification #[1108]): Eq (power_power int (plus_plus int (one_one int) (semiring_1_of_nat int n)) (number_number_of nat (bit0 (bit1 pls))))
% 16.78/16.99 (zero_zero int)
% 16.78/16.99 Clause #1110 (by forward demodulation #[1109, 595]): Eq (power_power int (plus_plus int (bit1 pls) (semiring_1_of_nat int n)) (number_number_of nat (bit0 (bit1 pls))))
% 16.78/16.99 (zero_zero int)
% 16.78/16.99 Clause #1111 (by forward demodulation #[1110, 168]): Eq (power_power int (plus_plus int (bit1 pls) (semiring_1_of_nat int n)) (number_number_of nat (bit0 (bit1 pls)))) pls
% 16.78/17.00 Clause #2956 (by clausification #[588]): ∀ (a : int),
% 16.78/17.00 Or (Eq (ord_less int (zero_zero int) (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True)
% 16.78/17.00 (Eq a (zero_zero int))
% 16.78/17.00 Clause #2957 (by forward demodulation #[2956, 168]): ∀ (a : int),
% 16.78/17.00 Or (Eq (ord_less int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) (Eq a (zero_zero int))
% 16.78/17.00 Clause #2958 (by forward demodulation #[2957, 168]): ∀ (a : int), Or (Eq (ord_less int pls (power_power int a (number_number_of nat (bit0 (bit1 pls))))) True) (Eq a pls)
% 16.78/17.00 Clause #3193 (by superposition #[2958, 1111]): Or (Eq (ord_less int pls pls) True) (Eq (plus_plus int (bit1 pls) (semiring_1_of_nat int n)) pls)
% 16.78/17.00 Clause #3195 (by forward demodulation #[3193, 175]): Or (Eq False True) (Eq (plus_plus int (bit1 pls) (semiring_1_of_nat int n)) pls)
% 16.78/17.00 Clause #3196 (by clausification #[3195]): Eq (plus_plus int (bit1 pls) (semiring_1_of_nat int n)) pls
% 16.78/17.00 Clause #3198 (by backward demodulation #[3196, 601]): Eq (ord_less int pls pls) True
% 16.78/17.00 Clause #3207 (by superposition #[3198, 175]): Eq True False
% 16.78/17.00 Clause #3224 (by clausification #[3207]): False
% 16.78/17.00 SZS output end Proof for theBenchmark.p
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