TSTP Solution File: NUM926_1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM926_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 10:58:18 EDT 2023
% Result : Theorem 12.04s 12.19s
% Output : Proof 12.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM926_1 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n009.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 : Fri Aug 25 09:19:50 EDT 2023
% 0.15/0.35 % CPUTime :
% 12.04/12.19 SZS status Theorem for theBenchmark.p
% 12.04/12.19 SZS output start Proof for theBenchmark.p
% 12.04/12.19 Clause #0 (by assumption #[]): Eq (ord_less_eq_int one_one_int t) True
% 12.04/12.19 Clause #1 (by assumption #[]): Eq
% 12.04/12.19 (Eq t one_one_int →
% 12.04/12.19 Exists fun X =>
% 12.04/12.19 Exists fun Y =>
% 12.04/12.19 Eq
% 12.04/12.19 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.19 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.19 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.19 True
% 12.04/12.19 Clause #2 (by assumption #[]): Eq
% 12.04/12.19 (ord_less_int one_one_int t →
% 12.04/12.19 Exists fun X =>
% 12.04/12.19 Exists fun Y =>
% 12.04/12.19 Eq
% 12.04/12.19 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.19 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.19 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.19 True
% 12.04/12.19 Clause #24 (by assumption #[]): Eq (Eq (plus_plus_int one_one_int one_one_int) (number_number_of_int (bit0 (bit1 pls)))) True
% 12.04/12.19 Clause #28 (by assumption #[]): Eq (∀ (Z_1 W_1 : int), Iff (ord_less_int Z_1 W_1) (And (ord_less_eq_int Z_1 W_1) (Ne Z_1 W_1))) True
% 12.04/12.19 Clause #46 (by assumption #[]): Eq (Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))) True
% 12.04/12.19 Clause #81 (by assumption #[]): Eq (∀ (A_6 B_3 : int), Eq (times_times_int A_6 B_3) (times_times_int B_3 A_6)) True
% 12.04/12.19 Clause #93 (by assumption #[]): Eq (∀ (A C : int), Eq (plus_plus_int A C) (plus_plus_int C A)) True
% 12.04/12.19 Clause #100 (by assumption #[]): Eq (∀ (K_1 : int), Eq (number_number_of_int K_1) K_1) True
% 12.04/12.19 Clause #107 (by assumption #[]): Eq
% 12.04/12.19 (Not
% 12.04/12.19 (Exists fun X =>
% 12.04/12.19 Exists fun Y =>
% 12.04/12.19 Eq
% 12.04/12.19 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.19 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.19 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)))
% 12.04/12.19 True
% 12.04/12.19 Clause #110 (by clausification #[1]): Or (Eq (Eq t one_one_int) False)
% 12.04/12.19 (Eq
% 12.04/12.19 (Exists fun X =>
% 12.04/12.19 Exists fun Y =>
% 12.04/12.19 Eq
% 12.04/12.19 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.19 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.19 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.19 True)
% 12.04/12.19 Clause #111 (by clausification #[110]): Or
% 12.04/12.19 (Eq
% 12.04/12.19 (Exists fun X =>
% 12.04/12.19 Exists fun Y =>
% 12.04/12.19 Eq
% 12.04/12.19 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.19 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.19 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.19 True)
% 12.04/12.19 (Ne t one_one_int)
% 12.04/12.19 Clause #112 (by clausification #[111]): ∀ (a : int),
% 12.04/12.19 Or (Ne t one_one_int)
% 12.04/12.19 (Eq
% 12.04/12.19 (Exists fun Y =>
% 12.04/12.19 Eq
% 12.04/12.19 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.19 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.19 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.19 True)
% 12.04/12.19 Clause #113 (by clausification #[112]): ∀ (a a_1 : int),
% 12.04/12.19 Or (Ne t one_one_int)
% 12.04/12.19 (Eq
% 12.04/12.19 (Eq
% 12.04/12.19 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.19 (power_power_int (skS.0 1 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.19 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.19 True)
% 12.04/12.19 Clause #114 (by clausification #[113]): ∀ (a a_1 : int),
% 12.04/12.19 Or (Ne t one_one_int)
% 12.04/12.19 (Eq
% 12.04/12.19 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.19 (power_power_int (skS.0 1 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.19 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.19 Clause #117 (by clausification #[100]): ∀ (a : int), Eq (Eq (number_number_of_int a) a) True
% 12.04/12.19 Clause #118 (by clausification #[117]): ∀ (a : int), Eq (number_number_of_int a) a
% 12.04/12.20 Clause #120 (by backward demodulation #[118, 114]): ∀ (a a_1 : int),
% 12.04/12.20 Or (Ne t one_one_int)
% 12.04/12.20 (Eq
% 12.04/12.20 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.20 (power_power_int (skS.0 1 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.20 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 12.04/12.20 Clause #123 (by clausification #[2]): Or (Eq (ord_less_int one_one_int t) False)
% 12.04/12.20 (Eq
% 12.04/12.20 (Exists fun X =>
% 12.04/12.20 Exists fun Y =>
% 12.04/12.20 Eq
% 12.04/12.20 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.20 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.20 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.20 True)
% 12.04/12.20 Clause #124 (by clausification #[123]): ∀ (a : int),
% 12.04/12.20 Or (Eq (ord_less_int one_one_int t) False)
% 12.04/12.20 (Eq
% 12.04/12.20 (Exists fun Y =>
% 12.04/12.20 Eq
% 12.04/12.20 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.20 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.20 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.20 True)
% 12.04/12.20 Clause #125 (by clausification #[124]): ∀ (a a_1 : int),
% 12.04/12.20 Or (Eq (ord_less_int one_one_int t) False)
% 12.04/12.20 (Eq
% 12.04/12.20 (Eq
% 12.04/12.20 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.20 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.20 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.20 True)
% 12.04/12.20 Clause #126 (by clausification #[125]): ∀ (a a_1 : int),
% 12.04/12.20 Or (Eq (ord_less_int one_one_int t) False)
% 12.04/12.20 (Eq
% 12.04/12.20 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.20 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.20 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.20 Clause #127 (by forward demodulation #[126, 118]): ∀ (a a_1 : int),
% 12.04/12.20 Or (Eq (ord_less_int one_one_int t) False)
% 12.04/12.20 (Eq
% 12.04/12.20 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.20 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.20 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 12.04/12.20 Clause #159 (by clausification #[24]): Eq (plus_plus_int one_one_int one_one_int) (number_number_of_int (bit0 (bit1 pls)))
% 12.04/12.20 Clause #160 (by superposition #[159, 118]): Eq (plus_plus_int one_one_int one_one_int) (bit0 (bit1 pls))
% 12.04/12.20 Clause #162 (by backward demodulation #[160, 127]): ∀ (a a_1 : int),
% 12.04/12.20 Or (Eq (ord_less_int one_one_int t) False)
% 12.04/12.20 (Eq
% 12.04/12.20 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.20 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 12.04/12.20 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 12.04/12.20 Clause #259 (by clausification #[46]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))
% 12.04/12.20 Clause #260 (by forward demodulation #[259, 160]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (plus_plus_int one_one_int one_one_int))
% 12.04/12.20 Clause #452 (by clausification #[93]): ∀ (a : int), Eq (∀ (C : int), Eq (plus_plus_int a C) (plus_plus_int C a)) True
% 12.04/12.20 Clause #453 (by clausification #[452]): ∀ (a a_1 : int), Eq (Eq (plus_plus_int a a_1) (plus_plus_int a_1 a)) True
% 12.04/12.20 Clause #454 (by clausification #[453]): ∀ (a a_1 : int), Eq (plus_plus_int a a_1) (plus_plus_int a_1 a)
% 12.04/12.20 Clause #500 (by clausification #[81]): ∀ (a : int), Eq (∀ (B_3 : int), Eq (times_times_int a B_3) (times_times_int B_3 a)) True
% 12.04/12.20 Clause #501 (by clausification #[500]): ∀ (a a_1 : int), Eq (Eq (times_times_int a a_1) (times_times_int a_1 a)) True
% 12.04/12.20 Clause #502 (by clausification #[501]): ∀ (a a_1 : int), Eq (times_times_int a a_1) (times_times_int a_1 a)
% 12.04/12.20 Clause #519 (by clausification #[28]): ∀ (a : int), Eq (∀ (W_1 : int), Iff (ord_less_int a W_1) (And (ord_less_eq_int a W_1) (Ne a W_1))) True
% 12.04/12.22 Clause #520 (by clausification #[519]): ∀ (a a_1 : int), Eq (Iff (ord_less_int a a_1) (And (ord_less_eq_int a a_1) (Ne a a_1))) True
% 12.04/12.22 Clause #521 (by clausification #[520]): ∀ (a a_1 : int), Or (Eq (ord_less_int a a_1) True) (Eq (And (ord_less_eq_int a a_1) (Ne a a_1)) False)
% 12.04/12.22 Clause #523 (by clausification #[521]): ∀ (a a_1 : int), Or (Eq (ord_less_int a a_1) True) (Or (Eq (ord_less_eq_int a a_1) False) (Eq (Ne a a_1) False))
% 12.04/12.22 Clause #524 (by clausification #[523]): ∀ (a a_1 : int), Or (Eq (ord_less_int a a_1) True) (Or (Eq (ord_less_eq_int a a_1) False) (Eq a a_1))
% 12.04/12.22 Clause #525 (by superposition #[524, 0]): Or (Eq (ord_less_int one_one_int t) True) (Or (Eq one_one_int t) (Eq False True))
% 12.04/12.22 Clause #544 (by clausification #[525]): Or (Eq (ord_less_int one_one_int t) True) (Eq one_one_int t)
% 12.04/12.22 Clause #4762 (by clausification #[107]): Eq
% 12.04/12.22 (Exists fun X =>
% 12.04/12.22 Exists fun Y =>
% 12.04/12.22 Eq
% 12.04/12.22 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.22 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.22 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.22 False
% 12.04/12.22 Clause #4763 (by clausification #[4762]): ∀ (a : int),
% 12.04/12.22 Eq
% 12.04/12.22 (Exists fun Y =>
% 12.04/12.22 Eq
% 12.04/12.22 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.22 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.22 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.22 False
% 12.04/12.22 Clause #4764 (by clausification #[4763]): ∀ (a a_1 : int),
% 12.04/12.22 Eq
% 12.04/12.22 (Eq
% 12.04/12.22 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.22 (power_power_int a_1 (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.22 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 12.04/12.22 False
% 12.04/12.22 Clause #4765 (by clausification #[4764]): ∀ (a a_1 : int),
% 12.04/12.22 Ne
% 12.04/12.22 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.22 (power_power_int a_1 (number_number_of_nat (bit0 (bit1 pls)))))
% 12.04/12.22 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 12.04/12.22 Clause #4766 (by forward demodulation #[4765, 160]): ∀ (a a_1 : int),
% 12.04/12.22 Ne
% 12.04/12.22 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.22 (power_power_int a_1 (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 12.04/12.22 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 12.04/12.22 Clause #4767 (by forward demodulation #[4766, 260]): ∀ (a a_1 : int),
% 12.04/12.22 Ne
% 12.04/12.22 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.22 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.22 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 12.04/12.22 Clause #4768 (by forward demodulation #[4767, 160]): ∀ (a a_1 : int),
% 12.04/12.22 Ne
% 12.04/12.22 (plus_plus_int (power_power_int a (number_number_of_nat (plus_plus_int one_one_int one_one_int)))
% 12.04/12.22 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.22 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 12.04/12.22 Clause #4769 (by forward demodulation #[4768, 260]): ∀ (a a_1 : int),
% 12.04/12.22 Ne
% 12.04/12.22 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.22 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.22 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 12.04/12.22 Clause #4770 (by forward demodulation #[4769, 454]): ∀ (a a_1 : int),
% 12.04/12.22 Ne
% 12.04/12.22 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.22 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.22 (plus_plus_int one_one_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m))
% 12.04/12.22 Clause #4771 (by forward demodulation #[4770, 502]): ∀ (a a_1 : int),
% 12.04/12.22 Ne
% 12.04/12.22 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.24 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int one_one_int (times_times_int m (number_number_of_int (bit0 (bit0 (bit1 pls))))))
% 12.04/12.24 Clause #4772 (by forward demodulation #[4771, 118]): ∀ (a a_1 : int),
% 12.04/12.24 Ne
% 12.04/12.24 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.24 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int one_one_int (times_times_int m (bit0 (bit0 (bit1 pls)))))
% 12.04/12.24 Clause #4773 (by forward demodulation #[4772, 160]): ∀ (a a_1 : int),
% 12.04/12.24 Ne
% 12.04/12.24 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.24 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int one_one_int (times_times_int m (bit0 (plus_plus_int one_one_int one_one_int))))
% 12.04/12.24 Clause #4882 (by forward demodulation #[120, 160]): ∀ (a a_1 : int),
% 12.04/12.24 Or (Ne t one_one_int)
% 12.04/12.24 (Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.24 (power_power_int (skS.0 1 a a_1) (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 12.04/12.24 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 12.04/12.24 Clause #4883 (by forward demodulation #[4882, 260]): ∀ (a a_1 : int),
% 12.04/12.24 Or (Ne t one_one_int)
% 12.04/12.24 (Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.24 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 12.04/12.24 Clause #4884 (by forward demodulation #[4883, 160]): ∀ (a a_1 : int),
% 12.04/12.24 Or (Ne t one_one_int)
% 12.04/12.24 (Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (plus_plus_int one_one_int one_one_int)))
% 12.04/12.24 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 12.04/12.24 Clause #4885 (by forward demodulation #[4884, 260]): ∀ (a a_1 : int),
% 12.04/12.24 Or (Ne t one_one_int)
% 12.04/12.24 (Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 0 a) (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.24 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 12.04/12.24 Clause #4886 (by forward demodulation #[4885, 454]): ∀ (a a_1 : int),
% 12.04/12.24 Or (Ne t one_one_int)
% 12.04/12.24 (Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 0 a) (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.24 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int one_one_int (times_times_int (bit0 (bit0 (bit1 pls))) m)))
% 12.04/12.24 Clause #4887 (by forward demodulation #[4886, 502]): ∀ (a a_1 : int),
% 12.04/12.24 Or (Ne t one_one_int)
% 12.04/12.24 (Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 0 a) (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.24 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int one_one_int (times_times_int m (bit0 (bit0 (bit1 pls))))))
% 12.04/12.24 Clause #4888 (by forward demodulation #[4887, 160]): ∀ (a a_1 : int),
% 12.04/12.24 Or (Ne t one_one_int)
% 12.04/12.24 (Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 0 a) (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.24 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.24 (plus_plus_int one_one_int (times_times_int m (bit0 (plus_plus_int one_one_int one_one_int)))))
% 12.04/12.24 Clause #4889 (by forward contextual literal cutting #[4888, 4773]): Ne t one_one_int
% 12.04/12.24 Clause #4891 (by backward contextual literal cutting #[4889, 544]): Eq (ord_less_int one_one_int t) True
% 12.04/12.24 Clause #5008 (by forward demodulation #[162, 4891]): ∀ (a a_1 : int),
% 12.04/12.24 Or (Eq True False)
% 12.04/12.24 (Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.24 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 12.04/12.24 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 12.04/12.24 Clause #5009 (by clausification #[5008]): ∀ (a a_1 : int),
% 12.04/12.24 Eq
% 12.04/12.24 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.26 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 12.04/12.26 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int)
% 12.04/12.26 Clause #5010 (by forward demodulation #[5009, 260]): ∀ (a a_1 : int),
% 12.04/12.26 Eq
% 12.04/12.26 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 12.04/12.26 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.26 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int)
% 12.04/12.26 Clause #5011 (by forward demodulation #[5010, 160]): ∀ (a a_1 : int),
% 12.04/12.26 Eq
% 12.04/12.26 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (plus_plus_int one_one_int one_one_int)))
% 12.04/12.26 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.26 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int)
% 12.04/12.26 Clause #5012 (by forward demodulation #[5011, 260]): ∀ (a a_1 : int),
% 12.04/12.26 Eq
% 12.04/12.26 (plus_plus_int (power_power_int (skS.0 2 a) (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.26 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.26 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int)
% 12.04/12.26 Clause #5013 (by forward demodulation #[5012, 454]): ∀ (a a_1 : int),
% 12.04/12.26 Eq
% 12.04/12.26 (plus_plus_int (power_power_int (skS.0 2 a) (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.26 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.26 (plus_plus_int one_one_int (times_times_int (bit0 (bit0 (bit1 pls))) m))
% 12.04/12.26 Clause #5014 (by forward demodulation #[5013, 502]): ∀ (a a_1 : int),
% 12.04/12.26 Eq
% 12.04/12.26 (plus_plus_int (power_power_int (skS.0 2 a) (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.26 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.26 (plus_plus_int one_one_int (times_times_int m (bit0 (bit0 (bit1 pls)))))
% 12.04/12.26 Clause #5015 (by forward demodulation #[5014, 160]): ∀ (a a_1 : int),
% 12.04/12.26 Eq
% 12.04/12.26 (plus_plus_int (power_power_int (skS.0 2 a) (plus_plus_nat one_one_nat one_one_nat))
% 12.04/12.26 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 12.04/12.26 (plus_plus_int one_one_int (times_times_int m (bit0 (plus_plus_int one_one_int one_one_int))))
% 12.04/12.26 Clause #5016 (by forward contextual literal cutting #[5015, 4773]): False
% 12.04/12.26 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------