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 : 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 10:58:18 EDT 2023
% Result : Theorem 11.13s 11.33s
% Output : Proof 11.20s
% 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.
% 0.07/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n024.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 : Fri Aug 25 09:29:39 EDT 2023
% 0.12/0.34 % CPUTime :
% 11.13/11.33 SZS status Theorem for theBenchmark.p
% 11.13/11.33 SZS output start Proof for theBenchmark.p
% 11.13/11.33 Clause #0 (by assumption #[]): Eq (ord_less_eq_int one_one_int t) True
% 11.13/11.33 Clause #1 (by assumption #[]): Eq
% 11.13/11.33 (Eq t one_one_int →
% 11.13/11.33 Exists fun X =>
% 11.13/11.33 Exists fun Y =>
% 11.13/11.33 Eq
% 11.13/11.33 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.33 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.33 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.33 True
% 11.13/11.33 Clause #2 (by assumption #[]): Eq
% 11.13/11.33 (ord_less_int one_one_int t →
% 11.13/11.33 Exists fun X =>
% 11.13/11.33 Exists fun Y =>
% 11.13/11.33 Eq
% 11.13/11.33 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.33 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.33 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.33 True
% 11.13/11.33 Clause #24 (by assumption #[]): Eq (Eq (plus_plus_int one_one_int one_one_int) (number_number_of_int (bit0 (bit1 pls)))) True
% 11.13/11.33 Clause #28 (by assumption #[]): Eq (∀ (Z_1 W_1 : Iota), Iff (ord_less_int Z_1 W_1) (And (ord_less_eq_int Z_1 W_1) (Ne Z_1 W_1))) True
% 11.13/11.33 Clause #46 (by assumption #[]): Eq (Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))) True
% 11.13/11.33 Clause #81 (by assumption #[]): Eq (∀ (A_6 B_3 : Iota), Eq (times_times_int A_6 B_3) (times_times_int B_3 A_6)) True
% 11.13/11.33 Clause #93 (by assumption #[]): Eq (∀ (A C : Iota), Eq (plus_plus_int A C) (plus_plus_int C A)) True
% 11.13/11.33 Clause #100 (by assumption #[]): Eq (∀ (K_1 : Iota), Eq (number_number_of_int K_1) K_1) True
% 11.13/11.33 Clause #107 (by assumption #[]): Eq
% 11.13/11.33 (Not
% 11.13/11.33 (Exists fun X =>
% 11.13/11.33 Exists fun Y =>
% 11.13/11.33 Eq
% 11.13/11.33 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.33 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.33 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)))
% 11.13/11.33 True
% 11.13/11.33 Clause #110 (by clausification #[1]): Or (Eq (Eq t one_one_int) False)
% 11.13/11.33 (Eq
% 11.13/11.33 (Exists fun X =>
% 11.13/11.33 Exists fun Y =>
% 11.13/11.33 Eq
% 11.13/11.33 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.33 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.33 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.33 True)
% 11.13/11.33 Clause #111 (by clausification #[110]): Or
% 11.13/11.33 (Eq
% 11.13/11.33 (Exists fun X =>
% 11.13/11.33 Exists fun Y =>
% 11.13/11.33 Eq
% 11.13/11.33 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.33 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.33 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.33 True)
% 11.13/11.33 (Ne t one_one_int)
% 11.13/11.33 Clause #112 (by clausification #[111]): ∀ (a : Iota),
% 11.13/11.33 Or (Ne t one_one_int)
% 11.13/11.33 (Eq
% 11.13/11.33 (Exists fun Y =>
% 11.13/11.33 Eq
% 11.13/11.33 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.33 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.33 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.33 True)
% 11.13/11.33 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota),
% 11.13/11.33 Or (Ne t one_one_int)
% 11.13/11.33 (Eq
% 11.13/11.33 (Eq
% 11.13/11.33 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.33 (power_power_int (skS.0 1 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.33 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.33 True)
% 11.13/11.33 Clause #114 (by clausification #[113]): ∀ (a a_1 : Iota),
% 11.13/11.33 Or (Ne t one_one_int)
% 11.13/11.33 (Eq
% 11.13/11.33 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.33 (power_power_int (skS.0 1 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.33 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.33 Clause #117 (by clausification #[100]): ∀ (a : Iota), Eq (Eq (number_number_of_int a) a) True
% 11.13/11.33 Clause #118 (by clausification #[117]): ∀ (a : Iota), Eq (number_number_of_int a) a
% 11.13/11.35 Clause #120 (by backward demodulation #[118, 114]): ∀ (a a_1 : Iota),
% 11.13/11.35 Or (Ne t one_one_int)
% 11.13/11.35 (Eq
% 11.13/11.35 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.35 (power_power_int (skS.0 1 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.35 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 11.13/11.35 Clause #123 (by clausification #[2]): Or (Eq (ord_less_int one_one_int t) False)
% 11.13/11.35 (Eq
% 11.13/11.35 (Exists fun X =>
% 11.13/11.35 Exists fun Y =>
% 11.13/11.35 Eq
% 11.13/11.35 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.35 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.35 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.35 True)
% 11.13/11.35 Clause #124 (by clausification #[123]): ∀ (a : Iota),
% 11.13/11.35 Or (Eq (ord_less_int one_one_int t) False)
% 11.13/11.35 (Eq
% 11.13/11.35 (Exists fun Y =>
% 11.13/11.35 Eq
% 11.13/11.35 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.35 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.35 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.35 True)
% 11.13/11.35 Clause #125 (by clausification #[124]): ∀ (a a_1 : Iota),
% 11.13/11.35 Or (Eq (ord_less_int one_one_int t) False)
% 11.13/11.35 (Eq
% 11.13/11.35 (Eq
% 11.13/11.35 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.35 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.35 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.35 True)
% 11.13/11.35 Clause #126 (by clausification #[125]): ∀ (a a_1 : Iota),
% 11.13/11.35 Or (Eq (ord_less_int one_one_int t) False)
% 11.13/11.35 (Eq
% 11.13/11.35 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.35 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.35 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.35 Clause #127 (by forward demodulation #[126, 118]): ∀ (a a_1 : Iota),
% 11.13/11.35 Or (Eq (ord_less_int one_one_int t) False)
% 11.13/11.35 (Eq
% 11.13/11.35 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.35 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.35 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 11.13/11.35 Clause #159 (by clausification #[24]): Eq (plus_plus_int one_one_int one_one_int) (number_number_of_int (bit0 (bit1 pls)))
% 11.13/11.35 Clause #160 (by superposition #[159, 118]): Eq (plus_plus_int one_one_int one_one_int) (bit0 (bit1 pls))
% 11.13/11.35 Clause #162 (by backward demodulation #[160, 127]): ∀ (a a_1 : Iota),
% 11.13/11.35 Or (Eq (ord_less_int one_one_int t) False)
% 11.13/11.35 (Eq
% 11.13/11.35 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.35 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 11.13/11.35 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 11.13/11.35 Clause #259 (by clausification #[46]): Eq (plus_plus_nat one_one_nat one_one_nat) (number_number_of_nat (bit0 (bit1 pls)))
% 11.13/11.35 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))
% 11.13/11.35 Clause #452 (by clausification #[93]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (plus_plus_int a C) (plus_plus_int C a)) True
% 11.13/11.35 Clause #453 (by clausification #[452]): ∀ (a a_1 : Iota), Eq (Eq (plus_plus_int a a_1) (plus_plus_int a_1 a)) True
% 11.13/11.35 Clause #454 (by clausification #[453]): ∀ (a a_1 : Iota), Eq (plus_plus_int a a_1) (plus_plus_int a_1 a)
% 11.13/11.35 Clause #500 (by clausification #[81]): ∀ (a : Iota), Eq (∀ (B_3 : Iota), Eq (times_times_int a B_3) (times_times_int B_3 a)) True
% 11.13/11.35 Clause #501 (by clausification #[500]): ∀ (a a_1 : Iota), Eq (Eq (times_times_int a a_1) (times_times_int a_1 a)) True
% 11.13/11.35 Clause #502 (by clausification #[501]): ∀ (a a_1 : Iota), Eq (times_times_int a a_1) (times_times_int a_1 a)
% 11.13/11.37 Clause #519 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (W_1 : Iota), Iff (ord_less_int a W_1) (And (ord_less_eq_int a W_1) (Ne a W_1))) True
% 11.13/11.37 Clause #520 (by clausification #[519]): ∀ (a a_1 : Iota), Eq (Iff (ord_less_int a a_1) (And (ord_less_eq_int a a_1) (Ne a a_1))) True
% 11.13/11.37 Clause #521 (by clausification #[520]): ∀ (a a_1 : Iota), Or (Eq (ord_less_int a a_1) True) (Eq (And (ord_less_eq_int a a_1) (Ne a a_1)) False)
% 11.13/11.37 Clause #523 (by clausification #[521]): ∀ (a a_1 : Iota), 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))
% 11.13/11.37 Clause #524 (by clausification #[523]): ∀ (a a_1 : Iota), Or (Eq (ord_less_int a a_1) True) (Or (Eq (ord_less_eq_int a a_1) False) (Eq a a_1))
% 11.13/11.37 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))
% 11.13/11.37 Clause #544 (by clausification #[525]): Or (Eq (ord_less_int one_one_int t) True) (Eq one_one_int t)
% 11.13/11.37 Clause #4958 (by clausification #[107]): Eq
% 11.13/11.37 (Exists fun X =>
% 11.13/11.37 Exists fun Y =>
% 11.13/11.37 Eq
% 11.13/11.37 (plus_plus_int (power_power_int X (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.37 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.37 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.37 False
% 11.13/11.37 Clause #4959 (by clausification #[4958]): ∀ (a : Iota),
% 11.13/11.37 Eq
% 11.13/11.37 (Exists fun Y =>
% 11.13/11.37 Eq
% 11.13/11.37 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.37 (power_power_int Y (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.37 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.37 False
% 11.13/11.37 Clause #4960 (by clausification #[4959]): ∀ (a a_1 : Iota),
% 11.13/11.37 Eq
% 11.13/11.37 (Eq
% 11.13/11.37 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.37 (power_power_int a_1 (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.37 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int))
% 11.13/11.37 False
% 11.13/11.37 Clause #4961 (by clausification #[4960]): ∀ (a a_1 : Iota),
% 11.13/11.37 Ne
% 11.13/11.37 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.37 (power_power_int a_1 (number_number_of_nat (bit0 (bit1 pls)))))
% 11.13/11.37 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 11.13/11.37 Clause #4962 (by forward demodulation #[4961, 160]): ∀ (a a_1 : Iota),
% 11.13/11.37 Ne
% 11.13/11.37 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.37 (power_power_int a_1 (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 11.13/11.37 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 11.13/11.37 Clause #4963 (by forward demodulation #[4962, 260]): ∀ (a a_1 : Iota),
% 11.13/11.37 Ne
% 11.13/11.37 (plus_plus_int (power_power_int a (number_number_of_nat (bit0 (bit1 pls))))
% 11.13/11.37 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 11.13/11.37 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 11.13/11.37 Clause #4964 (by forward demodulation #[4963, 160]): ∀ (a a_1 : Iota),
% 11.13/11.37 Ne
% 11.13/11.37 (plus_plus_int (power_power_int a (number_number_of_nat (plus_plus_int one_one_int one_one_int)))
% 11.13/11.37 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 11.13/11.37 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 11.13/11.37 Clause #4965 (by forward demodulation #[4964, 260]): ∀ (a a_1 : Iota),
% 11.13/11.37 Ne
% 11.13/11.37 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 11.13/11.37 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 11.13/11.37 (plus_plus_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m) one_one_int)
% 11.13/11.37 Clause #4966 (by forward demodulation #[4965, 454]): ∀ (a a_1 : Iota),
% 11.13/11.37 Ne
% 11.13/11.37 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 11.13/11.37 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 11.13/11.37 (plus_plus_int one_one_int (times_times_int (number_number_of_int (bit0 (bit0 (bit1 pls)))) m))
% 11.13/11.37 Clause #4967 (by forward demodulation #[4966, 502]): ∀ (a a_1 : Iota),
% 11.20/11.38 Ne
% 11.20/11.38 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.38 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int one_one_int (times_times_int m (number_number_of_int (bit0 (bit0 (bit1 pls))))))
% 11.20/11.38 Clause #4968 (by forward demodulation #[4967, 118]): ∀ (a a_1 : Iota),
% 11.20/11.38 Ne
% 11.20/11.38 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.38 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int one_one_int (times_times_int m (bit0 (bit0 (bit1 pls)))))
% 11.20/11.38 Clause #4969 (by forward demodulation #[4968, 160]): ∀ (a a_1 : Iota),
% 11.20/11.38 Ne
% 11.20/11.38 (plus_plus_int (power_power_int a (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.38 (power_power_int a_1 (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int one_one_int (times_times_int m (bit0 (plus_plus_int one_one_int one_one_int))))
% 11.20/11.38 Clause #5084 (by forward demodulation #[120, 160]): ∀ (a a_1 : Iota),
% 11.20/11.38 Or (Ne t one_one_int)
% 11.20/11.38 (Eq
% 11.20/11.38 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.20/11.38 (power_power_int (skS.0 1 a a_1) (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 11.20/11.38 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 11.20/11.38 Clause #5085 (by forward demodulation #[5084, 260]): ∀ (a a_1 : Iota),
% 11.20/11.38 Or (Ne t one_one_int)
% 11.20/11.38 (Eq
% 11.20/11.38 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.20/11.38 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 11.20/11.38 Clause #5086 (by forward demodulation #[5085, 160]): ∀ (a a_1 : Iota),
% 11.20/11.38 Or (Ne t one_one_int)
% 11.20/11.38 (Eq
% 11.20/11.38 (plus_plus_int (power_power_int (skS.0 0 a) (number_number_of_nat (plus_plus_int one_one_int one_one_int)))
% 11.20/11.38 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 11.20/11.38 Clause #5087 (by forward demodulation #[5086, 260]): ∀ (a a_1 : Iota),
% 11.20/11.38 Or (Ne t one_one_int)
% 11.20/11.38 (Eq
% 11.20/11.38 (plus_plus_int (power_power_int (skS.0 0 a) (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.38 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 11.20/11.38 Clause #5088 (by forward demodulation #[5087, 454]): ∀ (a a_1 : Iota),
% 11.20/11.38 Or (Ne t one_one_int)
% 11.20/11.38 (Eq
% 11.20/11.38 (plus_plus_int (power_power_int (skS.0 0 a) (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.38 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int one_one_int (times_times_int (bit0 (bit0 (bit1 pls))) m)))
% 11.20/11.38 Clause #5089 (by forward demodulation #[5088, 502]): ∀ (a a_1 : Iota),
% 11.20/11.38 Or (Ne t one_one_int)
% 11.20/11.38 (Eq
% 11.20/11.38 (plus_plus_int (power_power_int (skS.0 0 a) (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.38 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int one_one_int (times_times_int m (bit0 (bit0 (bit1 pls))))))
% 11.20/11.38 Clause #5090 (by forward demodulation #[5089, 160]): ∀ (a a_1 : Iota),
% 11.20/11.38 Or (Ne t one_one_int)
% 11.20/11.38 (Eq
% 11.20/11.38 (plus_plus_int (power_power_int (skS.0 0 a) (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.38 (power_power_int (skS.0 1 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.38 (plus_plus_int one_one_int (times_times_int m (bit0 (plus_plus_int one_one_int one_one_int)))))
% 11.20/11.38 Clause #5091 (by forward contextual literal cutting #[5090, 4969]): Ne t one_one_int
% 11.20/11.38 Clause #5093 (by backward contextual literal cutting #[5091, 544]): Eq (ord_less_int one_one_int t) True
% 11.20/11.38 Clause #5204 (by forward demodulation #[162, 5093]): ∀ (a a_1 : Iota),
% 11.20/11.38 Or (Eq True False)
% 11.20/11.38 (Eq
% 11.20/11.38 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.20/11.38 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 11.20/11.38 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int))
% 11.20/11.38 Clause #5205 (by clausification #[5204]): ∀ (a a_1 : Iota),
% 11.20/11.41 Eq
% 11.20/11.41 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.20/11.41 (power_power_int (skS.0 3 a a_1) (number_number_of_nat (plus_plus_int one_one_int one_one_int))))
% 11.20/11.41 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int)
% 11.20/11.41 Clause #5206 (by forward demodulation #[5205, 260]): ∀ (a a_1 : Iota),
% 11.20/11.41 Eq
% 11.20/11.41 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (bit0 (bit1 pls))))
% 11.20/11.41 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.41 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int)
% 11.20/11.41 Clause #5207 (by forward demodulation #[5206, 160]): ∀ (a a_1 : Iota),
% 11.20/11.41 Eq
% 11.20/11.41 (plus_plus_int (power_power_int (skS.0 2 a) (number_number_of_nat (plus_plus_int one_one_int one_one_int)))
% 11.20/11.41 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.41 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int)
% 11.20/11.41 Clause #5208 (by forward demodulation #[5207, 260]): ∀ (a a_1 : Iota),
% 11.20/11.41 Eq
% 11.20/11.41 (plus_plus_int (power_power_int (skS.0 2 a) (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.41 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.41 (plus_plus_int (times_times_int (bit0 (bit0 (bit1 pls))) m) one_one_int)
% 11.20/11.41 Clause #5209 (by forward demodulation #[5208, 454]): ∀ (a a_1 : Iota),
% 11.20/11.41 Eq
% 11.20/11.41 (plus_plus_int (power_power_int (skS.0 2 a) (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.41 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.41 (plus_plus_int one_one_int (times_times_int (bit0 (bit0 (bit1 pls))) m))
% 11.20/11.41 Clause #5210 (by forward demodulation #[5209, 502]): ∀ (a a_1 : Iota),
% 11.20/11.41 Eq
% 11.20/11.41 (plus_plus_int (power_power_int (skS.0 2 a) (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.41 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.41 (plus_plus_int one_one_int (times_times_int m (bit0 (bit0 (bit1 pls)))))
% 11.20/11.41 Clause #5211 (by forward demodulation #[5210, 160]): ∀ (a a_1 : Iota),
% 11.20/11.41 Eq
% 11.20/11.41 (plus_plus_int (power_power_int (skS.0 2 a) (plus_plus_nat one_one_nat one_one_nat))
% 11.20/11.41 (power_power_int (skS.0 3 a a_1) (plus_plus_nat one_one_nat one_one_nat)))
% 11.20/11.41 (plus_plus_int one_one_int (times_times_int m (bit0 (plus_plus_int one_one_int one_one_int))))
% 11.20/11.41 Clause #5212 (by forward contextual literal cutting #[5211, 4969]): False
% 11.20/11.41 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------