TSTP Solution File: SWW498_5 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWW498_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 Sep 1 00:26:35 EDT 2023
% Result : Theorem 88.84s 89.09s
% Output : Proof 88.94s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW498_5 : TPTP v8.1.2. Released v6.0.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 18:13:18 EDT 2023
% 0.15/0.35 % CPUTime :
% 88.84/89.09 SZS status Theorem for theBenchmark.p
% 88.84/89.09 SZS output start Proof for theBenchmark.p
% 88.84/89.09 Clause #1 (by assumption #[]): Eq
% 88.84/89.09 (ord_less_eq real
% 88.84/89.09 (power_power real (abs_abs real (times_times real (number_number_of real (bit0 (bit1 pls))) x))
% 88.84/89.09 (number_number_of nat (bit0 (bit1 pls))))
% 88.84/89.09 (power_power real (one_one real) (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 True
% 88.84/89.09 Clause #11 (by assumption #[]): Eq
% 88.84/89.09 (∀ (X : real),
% 88.84/89.09 Eq
% 88.84/89.09 (times_times real (number_number_of real (bit0 (bit0 (bit1 pls))))
% 88.84/89.09 (power_power real X (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 (power_power real (times_times real (number_number_of real (bit0 (bit1 pls))) X)
% 88.84/89.09 (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 True
% 88.84/89.09 Clause #57 (by assumption #[]): Eq
% 88.84/89.09 (∀ (A : Type),
% 88.84/89.09 linordered_idom A →
% 88.84/89.09 ∀ (A1 : A),
% 88.84/89.09 Eq (power_power A (abs_abs A A1) (number_number_of nat (bit0 (bit1 pls))))
% 88.84/89.09 (power_power A A1 (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 True
% 88.84/89.09 Clause #77 (by assumption #[]): Eq (∀ (A : Type), comm_semiring_1 A → ∀ (B A1 : A), Eq (times_times A A1 B) (times_times A B A1)) True
% 88.84/89.09 Clause #92 (by assumption #[]): Eq (∀ (A : Type), monoid_mult A → ∀ (N : nat), Eq (power_power A (one_one A) N) (one_one A)) True
% 88.84/89.09 Clause #107 (by assumption #[]): Eq (linordered_idom real) True
% 88.84/89.09 Clause #108 (by assumption #[]): Eq (comm_semiring_1 real) True
% 88.84/89.09 Clause #110 (by assumption #[]): Eq (monoid_mult real) True
% 88.84/89.09 Clause #124 (by assumption #[]): Eq
% 88.84/89.09 (Not
% 88.84/89.09 (ord_less_eq real
% 88.84/89.09 (times_times real (number_number_of real (bit0 (bit0 (bit1 pls))))
% 88.84/89.09 (power_power real x (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 (one_one real)))
% 88.84/89.09 True
% 88.84/89.09 Clause #212 (by clausification #[11]): ∀ (a : real),
% 88.84/89.09 Eq
% 88.84/89.09 (Eq
% 88.84/89.09 (times_times real (number_number_of real (bit0 (bit0 (bit1 pls))))
% 88.84/89.09 (power_power real a (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 (power_power real (times_times real (number_number_of real (bit0 (bit1 pls))) a)
% 88.84/89.09 (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 True
% 88.84/89.09 Clause #213 (by clausification #[212]): ∀ (a : real),
% 88.84/89.09 Eq
% 88.84/89.09 (times_times real (number_number_of real (bit0 (bit0 (bit1 pls))))
% 88.84/89.09 (power_power real a (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 (power_power real (times_times real (number_number_of real (bit0 (bit1 pls))) a)
% 88.84/89.09 (number_number_of nat (bit0 (bit1 pls))))
% 88.84/89.09 Clause #758 (by clausification #[57]): ∀ (a : Type),
% 88.84/89.09 Eq
% 88.84/89.09 (linordered_idom a →
% 88.84/89.09 ∀ (A1 : a),
% 88.84/89.09 Eq (power_power a (abs_abs a A1) (number_number_of nat (bit0 (bit1 pls))))
% 88.84/89.09 (power_power a A1 (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 True
% 88.84/89.09 Clause #759 (by clausification #[758]): ∀ (a : Type),
% 88.84/89.09 Or (Eq (linordered_idom a) False)
% 88.84/89.09 (Eq
% 88.84/89.09 (∀ (A1 : a),
% 88.84/89.09 Eq (power_power a (abs_abs a A1) (number_number_of nat (bit0 (bit1 pls))))
% 88.84/89.09 (power_power a A1 (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 True)
% 88.84/89.09 Clause #760 (by clausification #[759]): ∀ (a : Type) (a_1 : a),
% 88.84/89.09 Or (Eq (linordered_idom a) False)
% 88.84/89.09 (Eq
% 88.84/89.09 (Eq (power_power a (abs_abs a a_1) (number_number_of nat (bit0 (bit1 pls))))
% 88.84/89.09 (power_power a a_1 (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 True)
% 88.84/89.09 Clause #761 (by clausification #[760]): ∀ (a : Type) (a_1 : a),
% 88.84/89.09 Or (Eq (linordered_idom a) False)
% 88.84/89.09 (Eq (power_power a (abs_abs a a_1) (number_number_of nat (bit0 (bit1 pls))))
% 88.84/89.09 (power_power a a_1 (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 Clause #762 (by superposition #[761, 107]): ∀ (a : real),
% 88.84/89.09 Or
% 88.84/89.09 (Eq (power_power real (abs_abs real a) (number_number_of nat (bit0 (bit1 pls))))
% 88.84/89.09 (power_power real a (number_number_of nat (bit0 (bit1 pls)))))
% 88.84/89.09 (Eq False True)
% 88.84/89.09 Clause #1243 (by clausification #[77]): ∀ (a : Type), Eq (comm_semiring_1 a → ∀ (B A1 : a), Eq (times_times a A1 B) (times_times a B A1)) True
% 88.84/89.09 Clause #1244 (by clausification #[1243]): ∀ (a : Type), Or (Eq (comm_semiring_1 a) False) (Eq (∀ (B A1 : a), Eq (times_times a A1 B) (times_times a B A1)) True)
% 88.84/89.09 Clause #1245 (by clausification #[1244]): ∀ (a : Type) (a_1 : a),
% 88.84/89.09 Or (Eq (comm_semiring_1 a) False) (Eq (∀ (A1 : a), Eq (times_times a A1 a_1) (times_times a a_1 A1)) True)
% 88.94/89.14 Clause #1246 (by clausification #[1245]): ∀ (a : Type) (a_1 a_2 : a),
% 88.94/89.14 Or (Eq (comm_semiring_1 a) False) (Eq (Eq (times_times a a_1 a_2) (times_times a a_2 a_1)) True)
% 88.94/89.14 Clause #1247 (by clausification #[1246]): ∀ (a : Type) (a_1 a_2 : a), Or (Eq (comm_semiring_1 a) False) (Eq (times_times a a_1 a_2) (times_times a a_2 a_1))
% 88.94/89.14 Clause #1250 (by superposition #[1247, 108]): ∀ (a a_1 : real), Or (Eq (times_times real a a_1) (times_times real a_1 a)) (Eq False True)
% 88.94/89.14 Clause #1427 (by clausification #[92]): ∀ (a : Type), Eq (monoid_mult a → ∀ (N : nat), Eq (power_power a (one_one a) N) (one_one a)) True
% 88.94/89.14 Clause #1428 (by clausification #[1427]): ∀ (a : Type), Or (Eq (monoid_mult a) False) (Eq (∀ (N : nat), Eq (power_power a (one_one a) N) (one_one a)) True)
% 88.94/89.14 Clause #1429 (by clausification #[1428]): ∀ (a : Type) (a_1 : nat), Or (Eq (monoid_mult a) False) (Eq (Eq (power_power a (one_one a) a_1) (one_one a)) True)
% 88.94/89.14 Clause #1430 (by clausification #[1429]): ∀ (a : Type) (a_1 : nat), Or (Eq (monoid_mult a) False) (Eq (power_power a (one_one a) a_1) (one_one a))
% 88.94/89.14 Clause #1432 (by superposition #[1430, 110]): ∀ (a : nat), Or (Eq (power_power real (one_one real) a) (one_one real)) (Eq False True)
% 88.94/89.14 Clause #1447 (by clausification #[1432]): ∀ (a : nat), Eq (power_power real (one_one real) a) (one_one real)
% 88.94/89.14 Clause #1449 (by backward demodulation #[1447, 1]): Eq
% 88.94/89.14 (ord_less_eq real
% 88.94/89.14 (power_power real (abs_abs real (times_times real (number_number_of real (bit0 (bit1 pls))) x))
% 88.94/89.14 (number_number_of nat (bit0 (bit1 pls))))
% 88.94/89.14 (one_one real))
% 88.94/89.14 True
% 88.94/89.14 Clause #1451 (by clausification #[124]): Eq
% 88.94/89.14 (ord_less_eq real
% 88.94/89.14 (times_times real (number_number_of real (bit0 (bit0 (bit1 pls))))
% 88.94/89.14 (power_power real x (number_number_of nat (bit0 (bit1 pls)))))
% 88.94/89.14 (one_one real))
% 88.94/89.14 False
% 88.94/89.14 Clause #1452 (by forward demodulation #[1451, 213]): Eq
% 88.94/89.14 (ord_less_eq real
% 88.94/89.14 (power_power real (times_times real (number_number_of real (bit0 (bit1 pls))) x)
% 88.94/89.14 (number_number_of nat (bit0 (bit1 pls))))
% 88.94/89.14 (one_one real))
% 88.94/89.14 False
% 88.94/89.14 Clause #1474 (by clausification #[1250]): ∀ (a a_1 : real), Eq (times_times real a a_1) (times_times real a_1 a)
% 88.94/89.14 Clause #1481 (by superposition #[1474, 1452]): Eq
% 88.94/89.14 (ord_less_eq real
% 88.94/89.14 (power_power real (times_times real x (number_number_of real (bit0 (bit1 pls))))
% 88.94/89.14 (number_number_of nat (bit0 (bit1 pls))))
% 88.94/89.14 (one_one real))
% 88.94/89.14 False
% 88.94/89.14 Clause #4429 (by clausification #[762]): ∀ (a : real),
% 88.94/89.14 Eq (power_power real (abs_abs real a) (number_number_of nat (bit0 (bit1 pls))))
% 88.94/89.14 (power_power real a (number_number_of nat (bit0 (bit1 pls))))
% 88.94/89.14 Clause #10915 (by forward demodulation #[1449, 4429]): Eq
% 88.94/89.14 (ord_less_eq real
% 88.94/89.14 (power_power real (times_times real (number_number_of real (bit0 (bit1 pls))) x)
% 88.94/89.14 (number_number_of nat (bit0 (bit1 pls))))
% 88.94/89.14 (one_one real))
% 88.94/89.14 True
% 88.94/89.14 Clause #10916 (by forward demodulation #[10915, 1474]): Eq
% 88.94/89.14 (ord_less_eq real
% 88.94/89.14 (power_power real (times_times real x (number_number_of real (bit0 (bit1 pls))))
% 88.94/89.14 (number_number_of nat (bit0 (bit1 pls))))
% 88.94/89.14 (one_one real))
% 88.94/89.14 True
% 88.94/89.14 Clause #11331 (by superposition #[1481, 10916]): Eq True False
% 88.94/89.14 Clause #11332 (by clausification #[11331]): False
% 88.94/89.14 SZS output end Proof for theBenchmark.p
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