TSTP Solution File: NUM925+2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 : Wed Jul 27 13:10:15 EDT 2022
% Result : Theorem 6.89s 6.89s
% Output : Refutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 18 unt; 3 nHn; 12 RR)
% Number of literals : 24 ( 17 equ; 1 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(22,axiom,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)),
file('NUM925+2.p',unknown),
[] ).
cnf(589,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
file('NUM925+2.p',unknown),
[] ).
cnf(622,axiom,
one_one_int = number_number_of_int(bit1(pls)),
file('NUM925+2.p',unknown),
[] ).
cnf(623,plain,
number_number_of_int(bit1(pls)) = one_one_int,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[622])]),
[iquote('copy,622,flip.1')] ).
cnf(653,axiom,
hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A),B)),C) = hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)),
file('NUM925+2.p',unknown),
[] ).
cnf(659,axiom,
pls = zero_zero_int,
file('NUM925+2.p',unknown),
[] ).
cnf(661,plain,
zero_zero_int = pls,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[659])]),
[iquote('copy,659,flip.1')] ).
cnf(697,axiom,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))))
| A = zero_zero_int ),
file('NUM925+2.p',unknown),
[] ).
cnf(698,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))))
| A = pls ),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[697]),661,661]),
[iquote('copy,697,demod,661,661')] ).
cnf(739,axiom,
number_number_of_int(A) = A,
file('NUM925+2.p',unknown),
[] ).
cnf(764,axiom,
hAPP_nat_int(power_power_int(one_one_int),A) = one_one_int,
file('NUM925+2.p',unknown),
[] ).
cnf(871,axiom,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))),
file('NUM925+2.p',unknown),
[] ).
cnf(873,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(bit1(pls)))) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(times_times_int(times_times_int(bit0(bit1(pls)),A),B)),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))),
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[871]),739,653]),
[iquote('copy,871,demod,739,653')] ).
cnf(881,axiom,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) = zero_zero_int,
file('NUM925+2.p',unknown),
[] ).
cnf(882,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(times_times_int(times_times_int(bit0(bit1(pls)),one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,n)),number_number_of_nat(bit0(bit1(pls)))))) = pls,
inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[881]),873,764,661]),
[iquote('copy,881,demod,873,764,661')] ).
cnf(895,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[589]),661]),
[iquote('back_demod,589,demod,661')] ).
cnf(974,plain,
bit1(pls) = one_one_int,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[623]),739]),
[iquote('back_demod,623,demod,739')] ).
cnf(1017,plain,
hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(times_times_int(times_times_int(bit0(one_one_int),one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,n)),number_number_of_nat(bit0(one_one_int))))) = pls,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[882]),974,974]),
[iquote('back_demod,882,demod,974,974')] ).
cnf(1019,plain,
hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(one_one_int))) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(one_one_int)))),hAPP_int_int(plus_plus_int(times_times_int(times_times_int(bit0(one_one_int),A),B)),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(one_one_int))))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[873]),974,974,974,974]),
[iquote('back_demod,872,demod,974,974,974,974')] ).
cnf(1038,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(one_one_int)))))
| A = pls ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[698]),974]),
[iquote('back_demod,698,demod,974')] ).
cnf(1090,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1038,895]),1019,764,1017]),22,22]),
[iquote('para_from,1038.2.1,895.1.1.2,demod,1019,764,1017,unit_del,22,22')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:55:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.62/5.68 ----- Otter 3.3f, August 2004 -----
% 5.62/5.68 The process was started by sandbox2 on n025.cluster.edu,
% 5.62/5.68 Wed Jul 27 09:55:45 2022
% 5.62/5.68 The command was "./otter". The process ID is 19895.
% 5.62/5.68
% 5.62/5.68 set(prolog_style_variables).
% 5.62/5.68 set(auto).
% 5.62/5.68 dependent: set(auto1).
% 5.62/5.68 dependent: set(process_input).
% 5.62/5.68 dependent: clear(print_kept).
% 5.62/5.68 dependent: clear(print_new_demod).
% 5.62/5.68 dependent: clear(print_back_demod).
% 5.62/5.68 dependent: clear(print_back_sub).
% 5.62/5.68 dependent: set(control_memory).
% 5.62/5.68 dependent: assign(max_mem, 12000).
% 5.62/5.68 dependent: assign(pick_given_ratio, 4).
% 5.62/5.68 dependent: assign(stats_level, 1).
% 5.62/5.68 dependent: assign(max_seconds, 10800).
% 5.62/5.68 clear(print_given).
% 5.62/5.68
% 5.62/5.68 formula_list(usable).
% 5.62/5.68 all A (A=A).
% 5.62/5.68 is_bool(fFalse).
% 5.62/5.68 is_bool(fTrue).
% 5.62/5.68 all B_1_1 B_2_1 is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 5.62/5.68 all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 5.62/5.68 all B_1_1 B_2_1 is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)).
% 5.62/5.68 all Xa Ya (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int<->Xa=zero_zero_int&Ya=zero_zero_int).
% 5.62/5.68 all Xa Ya (hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 5.62/5.68 hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls))))=one_one_int.
% 5.62/5.68 hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls))))=one_one_nat.
% 5.62/5.68 hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls))))=one_one_real.
% 5.62/5.68 hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int.
% 5.62/5.68 hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat.
% 5.62/5.68 hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real.
% 5.62/5.68 all A_24 (hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int<->A_24=zero_zero_int).
% 5.62/5.68 all A_24 (hAPP_nat_real(power_power_real(A_24),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real<->A_24=zero_zero_real).
% 5.62/5.68 all W_8 (hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_8))=number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),W_8))).
% 5.62/5.68 all W_8 (hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(W_8))=number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),W_8))).
% 5.62/5.68 all V_11 (hAPP_int_int(plus_plus_int(number_number_of_int(V_11)),one_one_int)=number_number_of_int(hAPP_int_int(plus_plus_int(V_11),bit1(pls)))).
% 5.62/5.68 all V_11 (hAPP_real_real(plus_plus_real(number267125858f_real(V_11)),one_one_real)=number267125858f_real(hAPP_int_int(plus_plus_int(V_11),bit1(pls)))).
% 5.62/5.68 hAPP_int_int(plus_plus_int(one_one_int),one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 5.62/5.68 hAPP_real_real(plus_plus_real(one_one_real),one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 5.62/5.68 hAPP_int_int(plus_plus_int(one_one_int),one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 5.62/5.68 hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 5.62/5.68 hAPP_real_real(plus_plus_real(one_one_real),one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 5.62/5.68 all X (hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit0(bit1(pls)))))).
% 5.62/5.68 all W_7 ((number_number_of_nat(W_7)=zero_zero_nat->hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_7))=one_one_int)& (number_number_of_nat(W_7)!=zero_zero_nat->hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_7))=zero_zero_int)).
% 5.62/5.68 all W_7 ((number_number_of_nat(W_7)=zero_zero_nat->hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_7))=one_one_nat)& (number_number_of_nat(W_7)!=zero_zero_nat->hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_7))=zero_zero_nat)).
% 5.62/5.68 all W_7 ((number_number_of_nat(W_7)=zero_zero_nat->hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_7))=one_one_real)& (number_number_of_nat(W_7)!=zero_zero_nat->hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_7))=zero_zero_real)).
% 5.62/5.68 one_one_int=number_number_of_int(bit1(pls)).
% 5.62/5.68 one_one_real=number267125858f_real(bit1(pls)).
% 5.62/5.68 number_number_of_int(bit1(pls))=one_one_int.
% 5.62/5.68 number267125858f_real(bit1(pls))=one_one_real.
% 5.62/5.68 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)).
% 5.62/5.68 all X Y (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))|X=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K_2)),number_number_of_int(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1))).
% 5.62/5.68 all V_6 W (hAPP_int_int(plus_plus_int(number_number_of_int(V_6)),number_number_of_int(W))=number_number_of_int(hAPP_int_int(plus_plus_int(V_6),W))).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))).
% 5.62/5.68 zero_zero_int=number_number_of_int(pls).
% 5.62/5.68 all M_1 N_1 (hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_1)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_1),N_1))).
% 5.62/5.68 all M_1 N_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_1),N_1))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_1)),N_1)).
% 5.62/5.68 all M_1 N_1 Z_2 (hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,N_1)),Z_2))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_1),N_1))),Z_2)).
% 5.62/5.68 all M_1 N_1 (hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_1),N_1))).
% 5.62/5.68 hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 5.62/5.68 number_number_of_nat(pls)=zero_zero_nat.
% 5.62/5.68 zero_zero_nat=number_number_of_nat(pls).
% 5.62/5.68 all Na (hAPP_nat_int(semiri1621563631at_int,Na)=zero_zero_int<->Na=zero_zero_nat).
% 5.62/5.68 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 5.62/5.68 hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 5.62/5.68 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),bit1(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1))).
% 5.62/5.68 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 5.62/5.68 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),bit0(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1))).
% 5.62/5.68 all K I_2 J_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(I_2),K)),hAPP_int_int(plus_plus_int(J_2),K)))).
% 5.62/5.68 all V_10 V_6 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10))=number_number_of_nat(V_10))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_10),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10))=number_number_of_nat(V_6))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_10),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10))=number_number_of_nat(hAPP_int_int(plus_plus_int(V_6),V_10))))).
% 5.62/5.68 one_one_int=number_number_of_int(bit1(pls)).
% 5.62/5.68 number_number_of_nat(bit1(pls))=one_one_nat.
% 5.62/5.68 one_one_nat=number_number_of_nat(bit1(pls)).
% 5.62/5.68 all Xa Ya (number_number_of_int(Xa)=number_number_of_int(Ya)<->Xa=Ya).
% 5.62/5.68 all Xa Ya (number267125858f_real(Xa)=number267125858f_real(Ya)<->Xa=Ya).
% 5.62/5.68 all Wa Xa (number_number_of_nat(Wa)=Xa<->Xa=number_number_of_nat(Wa)).
% 5.62/5.68 all Wa Xa (number_number_of_int(Wa)=Xa<->Xa=number_number_of_int(Wa)).
% 5.62/5.68 all Wa Xa (number267125858f_real(Wa)=Xa<->Xa=number267125858f_real(Wa)).
% 5.62/5.68 all K_2 L_1 (bit1(K_2)=bit1(L_1)<->K_2=L_1).
% 5.62/5.68 all K_2 L_1 (bit0(K_2)=bit0(L_1)<->K_2=L_1).
% 5.62/5.68 all A_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),zero_zero_int))).
% 5.62/5.68 all A_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),zero_zero_real))).
% 5.62/5.68 all Z1 Z2 Z3 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(Z1),Z2)),Z3)=hAPP_int_int(plus_plus_int(Z1),hAPP_int_int(plus_plus_int(Z2),Z3))).
% 5.62/5.68 all X Y Z_2 (hAPP_int_int(plus_plus_int(X),hAPP_int_int(plus_plus_int(Y),Z_2))=hAPP_int_int(plus_plus_int(Y),hAPP_int_int(plus_plus_int(X),Z_2))).
% 5.62/5.68 all Z_2 W (hAPP_int_int(plus_plus_int(Z_2),W)=hAPP_int_int(plus_plus_int(W),Z_2)).
% 5.62/5.68 all Ma Na (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)<->Ma=Na).
% 5.62/5.68 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls))).
% 5.62/5.68 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls))).
% 5.62/5.68 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya))).
% 5.62/5.68 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya))).
% 5.62/5.68 all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls))).
% 5.62/5.68 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),bit0(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1))).
% 5.62/5.68 all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls))).
% 5.62/5.68 all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K_2))).
% 5.62/5.68 all Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(Wa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int))).
% 5.62/5.68 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 5.62/5.68 all Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(Wa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.62/5.68 all Wa Z_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_3))|Wa=Z_3).
% 5.62/5.68 all K (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K)),zero_zero_int))).
% 5.62/5.68 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),one_one_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls)))).
% 5.62/5.68 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),one_one_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls)))).
% 5.62/5.68 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya))).
% 5.62/5.68 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya))).
% 5.62/5.68 all Z_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_3)),Z_3)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),zero_zero_int))).
% 5.62/5.68 all A_24 (hAPP_int_int(plus_plus_int(A_24),A_24)=zero_zero_int<->A_24=zero_zero_int).
% 5.62/5.68 all A_24 (hAPP_real_real(plus_plus_real(A_24),A_24)=zero_zero_real<->A_24=zero_zero_real).
% 5.62/5.68 all K (bit1(K)!=pls).
% 5.62/5.68 all L (pls!=bit1(L)).
% 5.62/5.68 all K L (bit1(K)!=bit0(L)).
% 5.62/5.68 all K L (bit0(K)!=bit1(L)).
% 5.62/5.68 all K_2 (bit0(K_2)=pls<->K_2=pls).
% 5.62/5.68 all L_1 (pls=bit0(L_1)<->pls=L_1).
% 5.62/5.68 bit0(pls)=pls.
% 5.62/5.68 pls=zero_zero_int.
% 5.62/5.68 zero_zero_int!=one_one_int.
% 5.62/5.68 all K (hAPP_int_int(plus_plus_int(K),pls)=K).
% 5.62/5.68 all K (hAPP_int_int(plus_plus_int(pls),K)=K).
% 5.62/5.68 all K L (hAPP_int_int(plus_plus_int(bit0(K)),bit0(L))=bit0(hAPP_int_int(plus_plus_int(K),L))).
% 5.62/5.68 all K (bit0(K)=hAPP_int_int(plus_plus_int(K),K)).
% 5.62/5.68 all Z_2 (hAPP_int_int(plus_plus_int(Z_2),zero_zero_int)=Z_2).
% 5.62/5.68 all Z_2 (hAPP_int_int(plus_plus_int(zero_zero_int),Z_2)=Z_2).
% 5.62/5.68 number_number_of_int(pls)=zero_zero_int.
% 5.62/5.68 number_number_of_nat(pls)=zero_zero_nat.
% 5.62/5.68 number267125858f_real(pls)=zero_zero_real.
% 5.62/5.68 number_number_of_int(pls)=zero_zero_int.
% 5.62/5.68 number267125858f_real(pls)=zero_zero_real.
% 5.62/5.68 zero_zero_int=number_number_of_int(pls).
% 5.62/5.68 zero_zero_real=number267125858f_real(pls).
% 5.62/5.68 all A_68 (hAPP_int_int(plus_plus_int(number_number_of_int(pls)),A_68)=A_68).
% 5.62/5.68 all A_68 (hAPP_real_real(plus_plus_real(number267125858f_real(pls)),A_68)=A_68).
% 5.62/5.68 all A_67 (hAPP_int_int(plus_plus_int(A_67),number_number_of_int(pls))=A_67).
% 5.62/5.68 all A_67 (hAPP_real_real(plus_plus_real(A_67),number267125858f_real(pls))=A_67).
% 5.62/5.68 all A_24 Wa (hAPP_nat_int(power_power_int(A_24),number_number_of_nat(Wa))=zero_zero_int<->A_24=zero_zero_int&number_number_of_nat(Wa)!=zero_zero_nat).
% 5.62/5.68 all A_24 Wa (hAPP_nat_nat(power_power_nat(A_24),number_number_of_nat(Wa))=zero_zero_nat<->A_24=zero_zero_nat&number_number_of_nat(Wa)!=zero_zero_nat).
% 5.62/5.68 all A_24 Wa (hAPP_nat_real(power_power_real(A_24),number_number_of_nat(Wa))=zero_zero_real<->A_24=zero_zero_real&number_number_of_nat(Wa)!=zero_zero_nat).
% 5.62/5.68 all V_9 W_6 Z_5 (hAPP_int_int(plus_plus_int(number_number_of_int(V_9)),hAPP_int_int(plus_plus_int(number_number_of_int(W_6)),Z_5))=hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_9),W_6))),Z_5)).
% 5.62/5.68 all V_9 W_6 Z_5 (hAPP_real_real(plus_plus_real(number267125858f_real(V_9)),hAPP_real_real(plus_plus_real(number267125858f_real(W_6)),Z_5))=hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_9),W_6))),Z_5)).
% 5.62/5.68 all V_8 W_5 (hAPP_int_int(plus_plus_int(number_number_of_int(V_8)),number_number_of_int(W_5))=number_number_of_int(hAPP_int_int(plus_plus_int(V_8),W_5))).
% 5.62/5.68 all V_8 W_5 (hAPP_real_real(plus_plus_real(number267125858f_real(V_8)),number267125858f_real(W_5))=number267125858f_real(hAPP_int_int(plus_plus_int(V_8),W_5))).
% 5.62/5.68 all V_7 W_4 (number_number_of_int(hAPP_int_int(plus_plus_int(V_7),W_4))=hAPP_int_int(plus_plus_int(number_number_of_int(V_7)),number_number_of_int(W_4))).
% 5.62/5.68 all V_7 W_4 (number267125858f_real(hAPP_int_int(plus_plus_int(V_7),W_4))=hAPP_real_real(plus_plus_real(number267125858f_real(V_7)),number267125858f_real(W_4))).
% 5.62/5.68 all K L (hAPP_int_int(plus_plus_int(bit1(K)),bit0(L))=bit1(hAPP_int_int(plus_plus_int(K),L))).
% 5.62/5.68 all K L (hAPP_int_int(plus_plus_int(bit0(K)),bit1(L))=bit1(hAPP_int_int(plus_plus_int(K),L))).
% 5.62/5.68 all K (bit1(K)=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K)),K)).
% 5.62/5.68 all Z_2 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_2)),Z_2)!=zero_zero_int).
% 5.62/5.68 all N_29 (number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,N_29))=hAPP_nat_nat(semiri984289939at_nat,N_29)).
% 5.62/5.68 all N_29 (number_number_of_int(hAPP_nat_int(semiri1621563631at_int,N_29))=hAPP_nat_int(semiri1621563631at_int,N_29)).
% 5.62/5.68 all N_29 (number267125858f_real(hAPP_nat_int(semiri1621563631at_int,N_29))=hAPP_nat_real(semiri132038758t_real,N_29)).
% 5.62/5.68 all A_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))))<->A_24!=zero_zero_int).
% 5.62/5.68 all A_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_24),number_number_of_nat(bit0(bit1(pls))))))<->A_24!=zero_zero_real).
% 5.62/5.68 all A_66 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_66),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int))).
% 5.62/5.68 all A_66 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_66),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real))).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))<->Xa!=zero_zero_int|Ya!=zero_zero_int).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))<->Xa!=zero_zero_real|Ya!=zero_zero_real).
% 5.62/5.68 all X_16 Y_13 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_16),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_13),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))).
% 5.62/5.68 all X_16 Y_13 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_16),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_13),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))).
% 5.62/5.68 all W_3 (number_number_of_int(bit0(W_3))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(zero_zero_int),number_number_of_int(W_3))),number_number_of_int(W_3))).
% 5.62/5.68 all W_3 (number267125858f_real(bit0(W_3))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(zero_zero_real),number267125858f_real(W_3))),number267125858f_real(W_3))).
% 5.62/5.68 all W_2 (number_number_of_int(bit1(W_2))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_2))),number_number_of_int(W_2))).
% 5.62/5.68 all W_2 (number267125858f_real(bit1(W_2))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(W_2))),number267125858f_real(W_2))).
% 5.62/5.68 number_number_of_int(bit1(pls))=one_one_int.
% 5.62/5.68 number_number_of_nat(bit1(pls))=one_one_nat.
% 5.62/5.68 number267125858f_real(bit1(pls))=one_one_real.
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 5.62/5.68 all N_28 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_28)),hAPP_nat_int(power_power_int(number_number_of_int(bit0(bit1(pls)))),N_28))).
% 5.62/5.68 all N_28 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,N_28)),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_28))).
% 5.62/5.68 number_number_of_int(bit0(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit0(bit1(pls)))).
% 5.62/5.68 number_number_of_int(bit1(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))).
% 5.62/5.68 all Xa Ya (hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 5.62/5.68 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 5.62/5.68 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 5.62/5.68 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 5.62/5.68 all N_27 A_65 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_65))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A_65),N_27))))).
% 5.62/5.68 all N_27 A_65 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_65))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_65),N_27))))).
% 5.62/5.68 all N_27 A_65 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_65))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A_65),N_27))))).
% 5.62/5.68 all N_26 ((N_26=zero_zero_nat->hAPP_nat_int(power_power_int(zero_zero_int),N_26)=one_one_int)& (N_26!=zero_zero_nat->hAPP_nat_int(power_power_int(zero_zero_int),N_26)=zero_zero_int)).
% 5.62/5.68 all N_26 ((N_26=zero_zero_nat->hAPP_nat_nat(power_power_nat(zero_zero_nat),N_26)=one_one_nat)& (N_26!=zero_zero_nat->hAPP_nat_nat(power_power_nat(zero_zero_nat),N_26)=zero_zero_nat)).
% 5.62/5.68 all N_26 ((N_26=zero_zero_nat->hAPP_nat_real(power_power_real(zero_zero_real),N_26)=one_one_real)& (N_26!=zero_zero_nat->hAPP_nat_real(power_power_real(zero_zero_real),N_26)=zero_zero_real)).
% 5.62/5.68 all A_64 N_25 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_64))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_64),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_64),N_24)),hAPP_nat_int(power_power_int(A_64),N_25)))))).
% 5.62/5.68 all A_64 N_25 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_64))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_64),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_64),N_24)),hAPP_nat_nat(power_power_nat(A_64),N_25)))))).
% 5.62/5.68 all A_64 N_25 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_64))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_64),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_64),N_24)),hAPP_nat_real(power_power_real(A_64),N_25)))))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))).
% 5.62/5.68 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))).
% 5.62/5.68 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(one_one_real),one_one_real))).
% 5.62/5.68 all P_1 K_2 I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),I))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_2),one_one_int)))-> ((all I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),I_1))-> (hBOOL(hAPP_int_bool(P_1,I_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(I_1),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I))))).
% 5.62/5.68 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)).
% 5.62/5.68 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 5.62/5.68 zero_zero_real!=one_one_real.
% 5.62/5.68 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))).
% 5.62/5.68 all I_2 J_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),J_2)),I_2))).
% 5.62/5.68 all J_2 I_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J_2),I_2)),I_2))).
% 5.62/5.68 all K (number_number_of_int(K)=K).
% 5.62/5.68 all Ma Na (Ma!=Na<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))).
% 5.62/5.68 all M_1 N_1 (hAPP_nat_nat(plus_plus_nat(M_1),N_1)=hAPP_nat_nat(plus_plus_nat(N_1),M_1)).
% 5.62/5.68 all X Y Z_2 (hAPP_nat_nat(plus_plus_nat(X),hAPP_nat_nat(plus_plus_nat(Y),Z_2))=hAPP_nat_nat(plus_plus_nat(Y),hAPP_nat_nat(plus_plus_nat(X),Z_2))).
% 5.62/5.68 all M_1 N_1 K (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M_1),N_1)),K)=hAPP_nat_nat(plus_plus_nat(M_1),hAPP_nat_nat(plus_plus_nat(N_1),K))).
% 5.62/5.68 all K_2 Ma Na (hAPP_nat_nat(plus_plus_nat(K_2),Ma)=hAPP_nat_nat(plus_plus_nat(K_2),Na)<->Ma=Na).
% 5.62/5.68 all Ma K_2 Na (hAPP_nat_nat(plus_plus_nat(Ma),K_2)=hAPP_nat_nat(plus_plus_nat(Na),K_2)<->Ma=Na).
% 5.62/5.68 all K_2 Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_2),Ma)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 5.62/5.68 all X Y (X!=Y-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)))).
% 5.62/5.68 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))).
% 5.62/5.68 all N_1 M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))->M_1!=N_1).
% 5.62/5.68 all S T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))->S!=T).
% 5.62/5.68 all M_1 I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(plus_plus_nat(J_2),M_1)))).
% 5.62/5.68 all M_1 I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(plus_plus_nat(M_1),J_2)))).
% 5.62/5.68 all K I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),K)))).
% 5.62/5.68 all K L I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))))).
% 5.62/5.68 all M_1 N_1 K L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))-> (hAPP_nat_nat(plus_plus_nat(M_1),L)=hAPP_nat_nat(plus_plus_nat(K),N_1)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))).
% 5.62/5.68 all I_2 J_2 K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),J_2)),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K))).
% 5.62/5.68 all P_1 Ma Na ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))-> ((Ma=Na->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma))))).
% 5.62/5.68 all N_1 (N_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 5.62/5.68 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->N_1!=zero_zero_nat).
% 5.62/5.68 all M_1 N_1 I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(I_2),M_1)),hAPP_nat_nat(power_power_nat(I_2),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))).
% 5.62/5.68 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 5.62/5.68 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))|Na=zero_zero_nat).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(Ma),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 5.62/5.68 all Na (Na!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 5.62/5.68 all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 5.62/5.68 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))<->Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))).
% 5.62/5.68 all Xa Wa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))<->number_number_of_nat(Wa)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 5.62/5.68 all Va V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V)))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V))).
% 5.62/5.68 all X_15 Y_12 (X_15!=Y_12-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_15),Y_12))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_12),X_15)))).
% 5.62/5.68 all X_15 Y_12 (X_15!=Y_12-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Y_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_12),X_15)))).
% 5.62/5.68 all M_1 N_1 (hAPP_nat_nat(plus_plus_nat(M_1),N_1)=M_1->N_1=zero_zero_nat).
% 5.62/5.68 all Ma Na (hAPP_nat_nat(plus_plus_nat(Ma),Na)=zero_zero_nat<->Ma=zero_zero_nat&Na=zero_zero_nat).
% 5.62/5.68 all M_1 (hAPP_nat_nat(plus_plus_nat(M_1),zero_zero_nat)=M_1).
% 5.62/5.68 all N_1 (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),N_1)=N_1).
% 5.62/5.68 all A_63 (hAPP_nat_real(power_power_real(A_63),one_one_nat)=A_63).
% 5.62/5.68 all A_63 (hAPP_nat_nat(power_power_nat(A_63),one_one_nat)=A_63).
% 5.62/5.68 all A_63 (hAPP_nat_int(power_power_int(A_63),one_one_nat)=A_63).
% 5.62/5.68 all Ma Na (hAPP_nat_real(semiri132038758t_real,Ma)=hAPP_nat_real(semiri132038758t_real,Na)<->Ma=Na).
% 5.62/5.68 all Ma Na (hAPP_nat_nat(semiri984289939at_nat,Ma)=hAPP_nat_nat(semiri984289939at_nat,Na)<->Ma=Na).
% 5.62/5.68 all Ma Na (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)<->Ma=Na).
% 5.62/5.68 all Xa Ya (hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,Ya)<->Xa=Ya).
% 5.62/5.68 all Xa Ya P_1 ((hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,Xa),Ya)))& (-hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Ya)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,Xa),Ya)))).
% 5.62/5.68 all Va (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(Va)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va))).
% 5.62/5.68 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 5.62/5.68 one_one_real!=zero_zero_real.
% 5.62/5.68 one_one_nat!=zero_zero_nat.
% 5.62/5.68 one_one_int!=zero_zero_int.
% 5.62/5.68 zero_zero_real!=one_one_real.
% 5.62/5.68 zero_zero_nat!=one_one_nat.
% 5.62/5.68 zero_zero_int!=one_one_int.
% 5.62/5.68 all N_23 A_62 (A_62!=zero_zero_real->hAPP_nat_real(power_power_real(A_62),N_23)!=zero_zero_real).
% 5.62/5.68 all N_23 A_62 (A_62!=zero_zero_int->hAPP_nat_int(power_power_int(A_62),N_23)!=zero_zero_int).
% 5.62/5.68 all N_22 (hAPP_nat_real(power_power_real(one_one_real),N_22)=one_one_real).
% 5.62/5.68 all N_22 (hAPP_nat_nat(power_power_nat(one_one_nat),N_22)=one_one_nat).
% 5.62/5.68 all N_22 (hAPP_nat_int(power_power_int(one_one_int),N_22)=one_one_int).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 5.62/5.68 all M_9 N_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_9)),hAPP_nat_real(semiri132038758t_real,N_21)))).
% 5.62/5.68 all M_9 N_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_9)),hAPP_nat_nat(semiri984289939at_nat,N_21)))).
% 5.62/5.68 all M_9 N_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_9)),hAPP_nat_int(semiri1621563631at_int,N_21)))).
% 5.62/5.68 all M_8 N_20 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_8)),hAPP_nat_real(semiri132038758t_real,N_20)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20))).
% 5.62/5.68 all M_8 N_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_8)),hAPP_nat_nat(semiri984289939at_nat,N_20)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20))).
% 5.62/5.68 all M_8 N_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_8)),hAPP_nat_int(semiri1621563631at_int,N_20)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20))).
% 5.62/5.68 all M_7 N_19 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(plus_plus_nat(M_7),N_19))=hAPP_real_real(plus_plus_real(hAPP_nat_real(semiri132038758t_real,M_7)),hAPP_nat_real(semiri132038758t_real,N_19))).
% 5.62/5.68 all M_7 N_19 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(plus_plus_nat(M_7),N_19))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,M_7)),hAPP_nat_nat(semiri984289939at_nat,N_19))).
% 5.62/5.68 all M_7 N_19 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_7),N_19))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_7)),hAPP_nat_int(semiri1621563631at_int,N_19))).
% 5.62/5.68 hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real.
% 5.62/5.68 hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat.
% 5.62/5.68 hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 5.62/5.68 all M_6 N_18 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(M_6),N_18))=hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,M_6)),N_18)).
% 5.62/5.68 all M_6 N_18 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(M_6),N_18))=hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,M_6)),N_18)).
% 5.62/5.68 all M_6 N_18 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_6),N_18))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_6)),N_18)).
% 5.62/5.68 one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 5.62/5.68 all X Y (hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(X),Y))).
% 5.62/5.68 all X N_1 (hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,X)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(X),N_1))).
% 5.62/5.68 all B_41 C_31 A_61 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_61))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),C_31))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),hAPP_real_real(plus_plus_real(A_61),C_31))))).
% 5.62/5.68 all B_41 C_31 A_61 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_61))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),C_31))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),hAPP_nat_nat(plus_plus_nat(A_61),C_31))))).
% 5.62/5.68 all B_41 C_31 A_61 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_61))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),C_31))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),hAPP_int_int(plus_plus_int(A_61),C_31))))).
% 5.62/5.68 -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 5.62/5.68 -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 5.62/5.68 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 5.62/5.68 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 5.62/5.68 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.62/5.68 all N_17 A_60 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_60))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_60),N_17)))).
% 5.62/5.68 all N_17 A_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_60))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_60),N_17)))).
% 5.62/5.68 all N_17 A_60 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_60))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_60),N_17)))).
% 5.62/5.68 all A_59 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_59),hAPP_real_real(plus_plus_real(A_59),one_one_real))).
% 5.62/5.68 all A_59 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_59),hAPP_nat_nat(plus_plus_nat(A_59),one_one_nat))).
% 5.62/5.68 all A_59 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_59),hAPP_int_int(plus_plus_int(A_59),one_one_int))).
% 5.62/5.68 all Ma Na A_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_24))-> (hAPP_nat_real(power_power_real(A_24),Ma)=hAPP_nat_real(power_power_real(A_24),Na)<->Ma=Na)).
% 5.62/5.68 all Ma Na A_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_24))-> (hAPP_nat_nat(power_power_nat(A_24),Ma)=hAPP_nat_nat(power_power_nat(A_24),Na)<->Ma=Na)).
% 5.62/5.68 all Ma Na A_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_24))-> (hAPP_nat_int(power_power_int(A_24),Ma)=hAPP_nat_int(power_power_int(A_24),Na)<->Ma=Na)).
% 5.62/5.68 all Xa Ya B_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_21))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B_21),Xa)),hAPP_nat_real(power_power_real(B_21),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 5.62/5.68 all Xa Ya B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_21))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B_21),Xa)),hAPP_nat_nat(power_power_nat(B_21),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 5.62/5.68 all Xa Ya B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B_21),Xa)),hAPP_nat_int(power_power_int(B_21),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 5.62/5.68 all M_5 N_16 A_58 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_58))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_58),M_5)),hAPP_nat_real(power_power_real(A_58),N_16)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)))).
% 5.62/5.68 all M_5 N_16 A_58 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_58))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_58),M_5)),hAPP_nat_nat(power_power_nat(A_58),N_16)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)))).
% 5.62/5.68 all M_5 N_16 A_58 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_58))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_58),M_5)),hAPP_nat_int(power_power_int(A_58),N_16)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)))).
% 5.62/5.68 all A_57 N_15 N_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_57))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_57),N_15)),hAPP_nat_real(power_power_real(A_57),N_14))))).
% 5.62/5.68 all A_57 N_15 N_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_57))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_57),N_15)),hAPP_nat_nat(power_power_nat(A_57),N_14))))).
% 5.62/5.68 all A_57 N_15 N_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_57))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_57),N_15)),hAPP_nat_int(power_power_int(A_57),N_14))))).
% 5.62/5.68 all A_24 Na (hAPP_nat_real(power_power_real(A_24),Na)=zero_zero_real<->A_24=zero_zero_real&Na!=zero_zero_nat).
% 5.62/5.68 all A_24 Na (hAPP_nat_nat(power_power_nat(A_24),Na)=zero_zero_nat<->A_24=zero_zero_nat&Na!=zero_zero_nat).
% 5.62/5.68 all A_24 Na (hAPP_nat_int(power_power_int(A_24),Na)=zero_zero_int<->A_24=zero_zero_int&Na!=zero_zero_nat).
% 5.62/5.68 all M_4 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_4)),zero_zero_real))).
% 5.62/5.68 all M_4 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_4)),zero_zero_nat))).
% 5.62/5.68 all M_4 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_4)),zero_zero_int))).
% 5.62/5.68 all A_56 (hAPP_nat_real(power_power_real(A_56),zero_zero_nat)=one_one_real).
% 5.62/5.68 all A_56 (hAPP_nat_nat(power_power_nat(A_56),zero_zero_nat)=one_one_nat).
% 5.62/5.68 all A_56 (hAPP_nat_int(power_power_int(A_56),zero_zero_nat)=one_one_int).
% 5.62/5.68 hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real.
% 5.62/5.68 hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat.
% 5.62/5.68 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 5.62/5.68 zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 5.62/5.68 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))).
% 5.62/5.68 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))-> (exists N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))&K=hAPP_nat_int(semiri1621563631at_int,N)))).
% 5.62/5.68 all I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))-> (exists K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))&hAPP_nat_nat(plus_plus_nat(I_2),K_1)=J_2))).
% 5.62/5.68 all Xa Na (hAPP_nat_nat(power_power_nat(Xa),Na)=one_one_nat<->Xa=one_one_nat|Na=zero_zero_nat).
% 5.62/5.68 all X_14 (hAPP_nat_real(power_power_real(X_14),zero_zero_nat)=one_one_real).
% 5.62/5.68 all X_14 (hAPP_nat_nat(power_power_nat(X_14),zero_zero_nat)=one_one_nat).
% 5.62/5.68 all X_14 (hAPP_nat_int(power_power_int(X_14),zero_zero_nat)=one_one_int).
% 5.62/5.68 all A_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_24),A_24)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_24))).
% 5.62/5.68 all A_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_24),A_24)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_24))).
% 5.62/5.68 all A_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),zero_zero_real))).
% 5.62/5.68 all A_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),zero_zero_int))).
% 5.62/5.68 all Xa (zero_zero_real=Xa<->Xa=zero_zero_real).
% 5.62/5.68 all Xa (zero_zero_nat=Xa<->Xa=zero_zero_nat).
% 5.62/5.68 all Xa (zero_zero_int=Xa<->Xa=zero_zero_int).
% 5.62/5.68 all B_40 A_55 C_30 (hAPP_real_real(plus_plus_real(B_40),A_55)=hAPP_real_real(plus_plus_real(C_30),A_55)->B_40=C_30).
% 5.62/5.68 all B_40 A_55 C_30 (hAPP_nat_nat(plus_plus_nat(B_40),A_55)=hAPP_nat_nat(plus_plus_nat(C_30),A_55)->B_40=C_30).
% 5.62/5.68 all B_40 A_55 C_30 (hAPP_int_int(plus_plus_int(B_40),A_55)=hAPP_int_int(plus_plus_int(C_30),A_55)->B_40=C_30).
% 5.62/5.68 all A_54 B_39 C_29 (hAPP_real_real(plus_plus_real(A_54),B_39)=hAPP_real_real(plus_plus_real(A_54),C_29)->B_39=C_29).
% 5.62/5.68 all A_54 B_39 C_29 (hAPP_nat_nat(plus_plus_nat(A_54),B_39)=hAPP_nat_nat(plus_plus_nat(A_54),C_29)->B_39=C_29).
% 5.62/5.68 all A_54 B_39 C_29 (hAPP_int_int(plus_plus_int(A_54),B_39)=hAPP_int_int(plus_plus_int(A_54),C_29)->B_39=C_29).
% 5.62/5.68 all A_53 B_38 C_28 (hAPP_real_real(plus_plus_real(A_53),B_38)=hAPP_real_real(plus_plus_real(A_53),C_28)->B_38=C_28).
% 5.62/5.68 all A_53 B_38 C_28 (hAPP_nat_nat(plus_plus_nat(A_53),B_38)=hAPP_nat_nat(plus_plus_nat(A_53),C_28)->B_38=C_28).
% 5.62/5.68 all A_53 B_38 C_28 (hAPP_int_int(plus_plus_int(A_53),B_38)=hAPP_int_int(plus_plus_int(A_53),C_28)->B_38=C_28).
% 5.62/5.68 all A_52 B_37 C_27 D_6 (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_52),B_37)),hAPP_real_real(plus_plus_real(C_27),D_6))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_52),C_27)),hAPP_real_real(plus_plus_real(B_37),D_6))).
% 5.62/5.68 all A_52 B_37 C_27 D_6 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_52),B_37)),hAPP_nat_nat(plus_plus_nat(C_27),D_6))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_52),C_27)),hAPP_nat_nat(plus_plus_nat(B_37),D_6))).
% 5.62/5.68 all A_52 B_37 C_27 D_6 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_52),B_37)),hAPP_int_int(plus_plus_int(C_27),D_6))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_52),C_27)),hAPP_int_int(plus_plus_int(B_37),D_6))).
% 5.62/5.68 all B_21 A_24 C_15 (hAPP_real_real(plus_plus_real(B_21),A_24)=hAPP_real_real(plus_plus_real(C_15),A_24)<->B_21=C_15).
% 5.62/5.68 all B_21 A_24 C_15 (hAPP_nat_nat(plus_plus_nat(B_21),A_24)=hAPP_nat_nat(plus_plus_nat(C_15),A_24)<->B_21=C_15).
% 5.62/5.68 all B_21 A_24 C_15 (hAPP_int_int(plus_plus_int(B_21),A_24)=hAPP_int_int(plus_plus_int(C_15),A_24)<->B_21=C_15).
% 5.62/5.68 all A_24 B_21 C_15 (hAPP_real_real(plus_plus_real(A_24),B_21)=hAPP_real_real(plus_plus_real(A_24),C_15)<->B_21=C_15).
% 5.62/5.68 all A_24 B_21 C_15 (hAPP_nat_nat(plus_plus_nat(A_24),B_21)=hAPP_nat_nat(plus_plus_nat(A_24),C_15)<->B_21=C_15).
% 5.62/5.68 all A_24 B_21 C_15 (hAPP_int_int(plus_plus_int(A_24),B_21)=hAPP_int_int(plus_plus_int(A_24),C_15)<->B_21=C_15).
% 5.62/5.68 all A_51 B_36 C_26 (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_51),B_36)),C_26)=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_51),C_26)),B_36)).
% 5.62/5.68 all A_51 B_36 C_26 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_51),B_36)),C_26)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_51),C_26)),B_36)).
% 5.62/5.68 all A_51 B_36 C_26 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_51),B_36)),C_26)=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_51),C_26)),B_36)).
% 5.62/5.68 all A_50 B_35 C_25 (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_50),B_35)),C_25)=hAPP_real_real(plus_plus_real(A_50),hAPP_real_real(plus_plus_real(B_35),C_25))).
% 5.62/5.68 all A_50 B_35 C_25 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_50),B_35)),C_25)=hAPP_nat_nat(plus_plus_nat(A_50),hAPP_nat_nat(plus_plus_nat(B_35),C_25))).
% 5.62/5.68 all A_50 B_35 C_25 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_50),B_35)),C_25)=hAPP_int_int(plus_plus_int(A_50),hAPP_int_int(plus_plus_int(B_35),C_25))).
% 5.62/5.68 all A_49 B_34 C_24 (hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_49),B_34)),C_24)=hAPP_real_real(plus_plus_real(A_49),hAPP_real_real(plus_plus_real(B_34),C_24))).
% 5.62/5.68 all A_49 B_34 C_24 (hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_49),B_34)),C_24)=hAPP_nat_nat(plus_plus_nat(A_49),hAPP_nat_nat(plus_plus_nat(B_34),C_24))).
% 5.62/5.68 all A_49 B_34 C_24 (hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_49),B_34)),C_24)=hAPP_int_int(plus_plus_int(A_49),hAPP_int_int(plus_plus_int(B_34),C_24))).
% 5.62/5.68 all A_48 C_23 D_5 (hAPP_real_real(plus_plus_real(A_48),hAPP_real_real(plus_plus_real(C_23),D_5))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_48),C_23)),D_5)).
% 5.62/5.68 all A_48 C_23 D_5 (hAPP_nat_nat(plus_plus_nat(A_48),hAPP_nat_nat(plus_plus_nat(C_23),D_5))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_48),C_23)),D_5)).
% 5.62/5.68 all A_48 C_23 D_5 (hAPP_int_int(plus_plus_int(A_48),hAPP_int_int(plus_plus_int(C_23),D_5))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_48),C_23)),D_5)).
% 5.62/5.68 all A_47 C_22 D_4 (hAPP_real_real(plus_plus_real(A_47),hAPP_real_real(plus_plus_real(C_22),D_4))=hAPP_real_real(plus_plus_real(C_22),hAPP_real_real(plus_plus_real(A_47),D_4))).
% 5.62/5.68 all A_47 C_22 D_4 (hAPP_nat_nat(plus_plus_nat(A_47),hAPP_nat_nat(plus_plus_nat(C_22),D_4))=hAPP_nat_nat(plus_plus_nat(C_22),hAPP_nat_nat(plus_plus_nat(A_47),D_4))).
% 5.62/5.68 all A_47 C_22 D_4 (hAPP_int_int(plus_plus_int(A_47),hAPP_int_int(plus_plus_int(C_22),D_4))=hAPP_int_int(plus_plus_int(C_22),hAPP_int_int(plus_plus_int(A_47),D_4))).
% 5.62/5.68 all A_46 C_21 (hAPP_real_real(plus_plus_real(A_46),C_21)=hAPP_real_real(plus_plus_real(C_21),A_46)).
% 5.62/5.68 all A_46 C_21 (hAPP_nat_nat(plus_plus_nat(A_46),C_21)=hAPP_nat_nat(plus_plus_nat(C_21),A_46)).
% 5.62/5.68 all A_46 C_21 (hAPP_int_int(plus_plus_int(A_46),C_21)=hAPP_int_int(plus_plus_int(C_21),A_46)).
% 5.62/5.68 all Xa (one_one_real=Xa<->Xa=one_one_real).
% 5.62/5.68 all Xa (one_one_nat=Xa<->Xa=one_one_nat).
% 5.62/5.68 all Xa (one_one_int=Xa<->Xa=one_one_int).
% 5.62/5.68 all B_21 A_24 (B_21=hAPP_real_real(plus_plus_real(B_21),A_24)<->A_24=zero_zero_real).
% 5.62/5.68 all B_21 A_24 (B_21=hAPP_nat_nat(plus_plus_nat(B_21),A_24)<->A_24=zero_zero_nat).
% 5.62/5.68 all B_21 A_24 (B_21=hAPP_int_int(plus_plus_int(B_21),A_24)<->A_24=zero_zero_int).
% 5.62/5.68 all A_45 (hAPP_real_real(plus_plus_real(A_45),zero_zero_real)=A_45).
% 5.62/5.68 all A_45 (hAPP_nat_nat(plus_plus_nat(A_45),zero_zero_nat)=A_45).
% 5.62/5.68 all A_45 (hAPP_int_int(plus_plus_int(A_45),zero_zero_int)=A_45).
% 5.62/5.68 all A_44 (hAPP_real_real(plus_plus_real(A_44),zero_zero_real)=A_44).
% 5.62/5.68 all A_44 (hAPP_nat_nat(plus_plus_nat(A_44),zero_zero_nat)=A_44).
% 5.62/5.68 all A_44 (hAPP_int_int(plus_plus_int(A_44),zero_zero_int)=A_44).
% 5.62/5.68 all A_43 (hAPP_real_real(plus_plus_real(A_43),zero_zero_real)=A_43).
% 5.62/5.68 all A_43 (hAPP_nat_nat(plus_plus_nat(A_43),zero_zero_nat)=A_43).
% 5.62/5.68 all A_43 (hAPP_int_int(plus_plus_int(A_43),zero_zero_int)=A_43).
% 5.62/5.68 all A_24 (zero_zero_real=hAPP_real_real(plus_plus_real(A_24),A_24)<->A_24=zero_zero_real).
% 5.62/5.68 all A_24 (zero_zero_int=hAPP_int_int(plus_plus_int(A_24),A_24)<->A_24=zero_zero_int).
% 5.62/5.68 all A_42 (hAPP_real_real(plus_plus_real(zero_zero_real),A_42)=A_42).
% 5.62/5.68 all A_42 (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_42)=A_42).
% 5.62/5.68 all A_42 (hAPP_int_int(plus_plus_int(zero_zero_int),A_42)=A_42).
% 5.62/5.68 all A_41 (hAPP_real_real(plus_plus_real(zero_zero_real),A_41)=A_41).
% 5.62/5.68 all A_41 (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_41)=A_41).
% 5.62/5.68 all A_41 (hAPP_int_int(plus_plus_int(zero_zero_int),A_41)=A_41).
% 5.62/5.68 all A_40 (hAPP_real_real(plus_plus_real(zero_zero_real),A_40)=A_40).
% 5.62/5.68 all A_40 (hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_40)=A_40).
% 5.62/5.68 all A_40 (hAPP_int_int(plus_plus_int(zero_zero_int),A_40)=A_40).
% 5.62/5.68 all C_20 A_39 B_33 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_20),A_39)),hAPP_real_real(plus_plus_real(C_20),B_33)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_39),B_33))).
% 5.62/5.68 all C_20 A_39 B_33 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_20),A_39)),hAPP_nat_nat(plus_plus_nat(C_20),B_33)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_39),B_33))).
% 5.62/5.68 all C_20 A_39 B_33 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_20),A_39)),hAPP_int_int(plus_plus_int(C_20),B_33)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_39),B_33))).
% 5.62/5.68 all A_38 C_19 B_32 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_38),C_19)),hAPP_real_real(plus_plus_real(B_32),C_19)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_38),B_32))).
% 5.62/5.68 all A_38 C_19 B_32 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_38),C_19)),hAPP_nat_nat(plus_plus_nat(B_32),C_19)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_38),B_32))).
% 5.62/5.68 all A_38 C_19 B_32 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_38),C_19)),hAPP_int_int(plus_plus_int(B_32),C_19)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_38),B_32))).
% 5.62/5.68 all C_18 D_3 A_37 B_31 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_37),B_31))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_18),D_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_37),C_18)),hAPP_real_real(plus_plus_real(B_31),D_3))))).
% 5.62/5.68 all C_18 D_3 A_37 B_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_37),B_31))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_18),D_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_37),C_18)),hAPP_nat_nat(plus_plus_nat(B_31),D_3))))).
% 5.62/5.68 all C_18 D_3 A_37 B_31 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_37),B_31))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_18),D_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_37),C_18)),hAPP_int_int(plus_plus_int(B_31),D_3))))).
% 5.62/5.68 all C_17 A_36 B_30 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_36),B_30))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_17),A_36)),hAPP_real_real(plus_plus_real(C_17),B_30)))).
% 5.62/5.68 all C_17 A_36 B_30 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_36),B_30))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_17),A_36)),hAPP_nat_nat(plus_plus_nat(C_17),B_30)))).
% 5.62/5.68 all C_17 A_36 B_30 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_36),B_30))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_17),A_36)),hAPP_int_int(plus_plus_int(C_17),B_30)))).
% 5.62/5.68 all C_16 A_35 B_29 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_35),B_29))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_35),C_16)),hAPP_real_real(plus_plus_real(B_29),C_16)))).
% 5.62/5.68 all C_16 A_35 B_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_35),B_29))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_35),C_16)),hAPP_nat_nat(plus_plus_nat(B_29),C_16)))).
% 5.62/5.68 all C_16 A_35 B_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_35),B_29))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_35),C_16)),hAPP_int_int(plus_plus_int(B_29),C_16)))).
% 5.62/5.68 all C_15 A_24 B_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_15),A_24)),hAPP_real_real(plus_plus_real(C_15),B_21)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),B_21))).
% 5.62/5.68 all C_15 A_24 B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_15),A_24)),hAPP_nat_nat(plus_plus_nat(C_15),B_21)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_21))).
% 5.62/5.68 all C_15 A_24 B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_15),A_24)),hAPP_int_int(plus_plus_int(C_15),B_21)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),B_21))).
% 5.62/5.68 all A_24 C_15 B_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),C_15)),hAPP_real_real(plus_plus_real(B_21),C_15)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),B_21))).
% 5.62/5.68 all A_24 C_15 B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_24),C_15)),hAPP_nat_nat(plus_plus_nat(B_21),C_15)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_21))).
% 5.62/5.68 all A_24 C_15 B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),C_15)),hAPP_int_int(plus_plus_int(B_21),C_15)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),B_21))).
% 5.62/5.68 all X_13 (hAPP_nat_real(power_power_real(X_13),one_one_nat)=X_13).
% 5.62/5.68 all X_13 (hAPP_nat_nat(power_power_nat(X_13),one_one_nat)=X_13).
% 5.62/5.68 all X_13 (hAPP_nat_int(power_power_int(X_13),one_one_nat)=X_13).
% 5.62/5.68 all Ma Na (hAPP_nat_nat(power_power_nat(Ma),Na)=zero_zero_nat<->Na!=zero_zero_nat&Ma=zero_zero_nat).
% 5.62/5.68 all B_28 A_34 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_34),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_28),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_34),B_28)),zero_zero_real)))).
% 5.62/5.68 all B_28 A_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_34),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_28),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_34),B_28)),zero_zero_nat)))).
% 5.62/5.68 all B_28 A_34 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_34),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_28),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_34),B_28)),zero_zero_int)))).
% 5.62/5.68 all B_27 A_33 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_33))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_27))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_33),B_27))))).
% 5.62/5.68 all B_27 A_33 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_33))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_27))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_33),B_27))))).
% 5.62/5.68 all B_27 A_33 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_33))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_27))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_33),B_27))))).
% 5.62/5.68 all A N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))-> (exists X_12 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_12))&hAPP_nat_real(power_power_real(X_12),N_1)=A& (all Y_11 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_11))&hAPP_nat_real(power_power_real(Y_11),N_1)=A->Y_11=X_12)))))).
% 5.62/5.68 all A N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))-> (exists R (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R))&hAPP_nat_real(power_power_real(R),N_1)=A)))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),t)).
% 5.62/5.68 all V_6 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),one_one_nat)=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),one_one_nat)=number_number_of_nat(succ(V_6)))).
% 5.62/5.68 all V_6 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))->hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_6))=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))->hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_6))=number_number_of_nat(succ(V_6)))).
% 5.62/5.68 all A_24 C_15 B_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_24),C_15)),hAPP_real_real(plus_plus_real(B_21),C_15)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),B_21))).
% 5.62/5.68 all A_24 C_15 B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_24),C_15)),hAPP_nat_nat(plus_plus_nat(B_21),C_15)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_24),B_21))).
% 5.62/5.68 all A_24 C_15 B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_24),C_15)),hAPP_int_int(plus_plus_int(B_21),C_15)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),B_21))).
% 5.62/5.68 all C_15 A_24 B_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_15),A_24)),hAPP_real_real(plus_plus_real(C_15),B_21)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),B_21))).
% 5.62/5.68 all C_15 A_24 B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_15),A_24)),hAPP_nat_nat(plus_plus_nat(C_15),B_21)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_24),B_21))).
% 5.62/5.68 all C_15 A_24 B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_15),A_24)),hAPP_int_int(plus_plus_int(C_15),B_21)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),B_21))).
% 5.62/5.68 all C_14 A_32 B_26 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_32),B_26))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_32),C_14)),hAPP_real_real(plus_plus_real(B_26),C_14)))).
% 5.62/5.68 all C_14 A_32 B_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_32),B_26))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_32),C_14)),hAPP_nat_nat(plus_plus_nat(B_26),C_14)))).
% 5.62/5.68 all C_14 A_32 B_26 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_32),B_26))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_32),C_14)),hAPP_int_int(plus_plus_int(B_26),C_14)))).
% 5.62/5.68 all C_13 A_31 B_25 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_31),B_25))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_13),A_31)),hAPP_real_real(plus_plus_real(C_13),B_25)))).
% 5.62/5.68 all C_13 A_31 B_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_31),B_25))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_13),A_31)),hAPP_nat_nat(plus_plus_nat(C_13),B_25)))).
% 5.62/5.68 all C_13 A_31 B_25 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_31),B_25))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_13),A_31)),hAPP_int_int(plus_plus_int(C_13),B_25)))).
% 5.62/5.68 all C_12 D_2 A_30 B_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_30),B_24))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_12),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_30),C_12)),hAPP_real_real(plus_plus_real(B_24),D_2))))).
% 5.62/5.68 all C_12 D_2 A_30 B_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_30),B_24))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_12),D_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_30),C_12)),hAPP_nat_nat(plus_plus_nat(B_24),D_2))))).
% 5.62/5.68 all C_12 D_2 A_30 B_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_30),B_24))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_12),D_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_30),C_12)),hAPP_int_int(plus_plus_int(B_24),D_2))))).
% 5.62/5.68 all A_29 C_11 B_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_29),C_11)),hAPP_real_real(plus_plus_real(B_23),C_11)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_29),B_23))).
% 5.62/5.68 all A_29 C_11 B_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_29),C_11)),hAPP_nat_nat(plus_plus_nat(B_23),C_11)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_29),B_23))).
% 5.62/5.68 all A_29 C_11 B_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_29),C_11)),hAPP_int_int(plus_plus_int(B_23),C_11)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_29),B_23))).
% 5.62/5.68 all C_10 A_28 B_22 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_10),A_28)),hAPP_real_real(plus_plus_real(C_10),B_22)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_28),B_22))).
% 5.62/5.68 all C_10 A_28 B_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_10),A_28)),hAPP_nat_nat(plus_plus_nat(C_10),B_22)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_28),B_22))).
% 5.62/5.68 all C_10 A_28 B_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_10),A_28)),hAPP_int_int(plus_plus_int(C_10),B_22)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_28),B_22))).
% 5.62/5.68 all A_27 N_13 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_13),N_12))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_27))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_27),N_13)),hAPP_nat_real(power_power_real(A_27),N_12))))).
% 5.62/5.68 all A_27 N_13 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_13),N_12))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_27))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_27),N_13)),hAPP_nat_nat(power_power_nat(A_27),N_12))))).
% 5.62/5.68 all A_27 N_13 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_13),N_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_27))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_27),N_13)),hAPP_nat_int(power_power_int(A_27),N_12))))).
% 5.62/5.68 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),bit1(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 5.62/5.68 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit0(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),bit0(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 5.62/5.68 all W hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 5.62/5.68 all Z_2 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z_2))).
% 5.62/5.68 all K I_2 J_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_2),K))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K)))).
% 5.62/5.68 all Z_2 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z_2))->Z_2=W)).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 5.62/5.68 all Z_3 Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),Wa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_3),Wa))&Z_3!=Wa).
% 5.62/5.68 all K I_2 J_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(K),I_2)),hAPP_int_int(plus_plus_int(K),J_2)))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K_2)),number_number_of_int(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1))).
% 5.62/5.68 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya))).
% 5.62/5.68 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya))).
% 5.62/5.68 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls))).
% 5.62/5.68 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls))).
% 5.62/5.68 all A_26 N_11 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_11),N_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_26))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_26),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_26),N_10)),hAPP_nat_real(power_power_real(A_26),N_11)))))).
% 5.62/5.68 all A_26 N_11 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_11),N_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_26))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_26),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_26),N_10)),hAPP_nat_nat(power_power_nat(A_26),N_11)))))).
% 5.62/5.68 all A_26 N_11 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_11),N_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_26))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_26),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_26),N_10)),hAPP_nat_int(power_power_int(A_26),N_11)))))).
% 5.62/5.68 all Xa Ya B_21 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_21))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(B_21),Xa)),hAPP_nat_real(power_power_real(B_21),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 5.62/5.68 all Xa Ya B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_21))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(B_21),Xa)),hAPP_nat_nat(power_power_nat(B_21),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 5.62/5.68 all Xa Ya B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(B_21),Xa)),hAPP_nat_int(power_power_int(B_21),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 5.62/5.68 all M_3 N_9 A_25 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_25))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_25),M_3)),hAPP_nat_real(power_power_real(A_25),N_9)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),N_9)))).
% 5.62/5.68 all M_3 N_9 A_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_25))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_25),M_3)),hAPP_nat_nat(power_power_nat(A_25),N_9)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),N_9)))).
% 5.62/5.68 all M_3 N_9 A_25 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_25))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_25),M_3)),hAPP_nat_int(power_power_int(A_25),N_9)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),N_9)))).
% 5.62/5.68 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya))).
% 5.62/5.68 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya))).
% 5.62/5.68 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),one_one_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls)))).
% 5.62/5.68 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),one_one_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls)))).
% 5.62/5.68 all A_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_24),A_24)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_24))).
% 5.62/5.68 all A_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_24),A_24)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_24))).
% 5.62/5.68 all A_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),zero_zero_real))).
% 5.62/5.68 all A_24 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),zero_zero_int))).
% 5.62/5.68 all B_20 A_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_23))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_20))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_23),B_20))))).
% 5.62/5.68 all B_20 A_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_23))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_20))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_23),B_20))))).
% 5.62/5.68 all B_20 A_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_23))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_20))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_23),B_20))))).
% 5.62/5.68 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ya))-> (hAPP_real_real(plus_plus_real(Xa),Ya)=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real))).
% 5.62/5.68 all Ya Xa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Ya))-> (hAPP_nat_nat(plus_plus_nat(Xa),Ya)=zero_zero_nat<->Xa=zero_zero_nat&Ya=zero_zero_nat))).
% 5.62/5.68 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hAPP_int_int(plus_plus_int(Xa),Ya)=zero_zero_int<->Xa=zero_zero_int&Ya=zero_zero_int))).
% 5.62/5.68 all B_19 C_9 A_22 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_22))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_19),C_9))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_19),hAPP_real_real(plus_plus_real(A_22),C_9))))).
% 5.62/5.68 all B_19 C_9 A_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_22))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_19),C_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_19),hAPP_nat_nat(plus_plus_nat(A_22),C_9))))).
% 5.62/5.68 all B_19 C_9 A_22 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_22))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_19),C_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_19),hAPP_int_int(plus_plus_int(A_22),C_9))))).
% 5.62/5.68 all B_18 A_21 C_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_8))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_18),A_21))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_18),hAPP_real_real(plus_plus_real(A_21),C_8))))).
% 5.62/5.68 all B_18 A_21 C_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_18),A_21))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_18),hAPP_nat_nat(plus_plus_nat(A_21),C_8))))).
% 5.62/5.68 all B_18 A_21 C_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_18),A_21))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_18),hAPP_int_int(plus_plus_int(A_21),C_8))))).
% 5.62/5.68 all B_17 A_20 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_20),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_17),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_20),B_17)),zero_zero_real)))).
% 5.62/5.68 all B_17 A_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_20),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_17),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_20),B_17)),zero_zero_nat)))).
% 5.62/5.68 all B_17 A_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_20),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_17),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_20),B_17)),zero_zero_int)))).
% 5.62/5.68 all C_7 D_1 A_19 B_16 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_19),B_16))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_7),D_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_19),C_7)),hAPP_real_real(plus_plus_real(B_16),D_1))))).
% 5.62/5.68 all C_7 D_1 A_19 B_16 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_19),B_16))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_7),D_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_19),C_7)),hAPP_nat_nat(plus_plus_nat(B_16),D_1))))).
% 5.62/5.68 all C_7 D_1 A_19 B_16 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_19),B_16))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_7),D_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_19),C_7)),hAPP_int_int(plus_plus_int(B_16),D_1))))).
% 5.62/5.68 all C_6 D A_18 B_15 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_18),B_15))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_6),D))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_18),C_6)),hAPP_real_real(plus_plus_real(B_15),D))))).
% 5.62/5.68 all C_6 D A_18 B_15 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_18),B_15))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_6),D))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_18),C_6)),hAPP_nat_nat(plus_plus_nat(B_15),D))))).
% 5.62/5.68 all C_6 D A_18 B_15 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_18),B_15))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_6),D))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_18),C_6)),hAPP_int_int(plus_plus_int(B_15),D))))).
% 5.62/5.68 -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),zero_zero_real)).
% 5.62/5.68 -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 5.62/5.68 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 5.62/5.68 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),one_one_real)).
% 5.62/5.68 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.62/5.68 all Va Wa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Va)),number267125858f_real(Wa)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Wa)),number267125858f_real(Va)))).
% 5.62/5.68 all Va Wa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(Wa)))<-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Wa)),number_number_of_nat(Va)))).
% 5.62/5.68 all Va Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Va)),number_number_of_int(Wa)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Wa)),number_number_of_int(Va)))).
% 5.62/5.68 all N_8 A_17 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_17))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(power_power_real(A_17),N_8)))).
% 5.62/5.68 all N_8 A_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_17))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_17),N_8)))).
% 5.62/5.68 all N_8 A_17 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_17))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(A_17),N_8)))).
% 5.62/5.68 all N_7 A_16 B_14 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_16),B_14))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_16))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_16),N_7)),hAPP_nat_real(power_power_real(B_14),N_7))))).
% 5.62/5.68 all N_7 A_16 B_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_16),B_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_16),N_7)),hAPP_nat_nat(power_power_nat(B_14),N_7))))).
% 5.62/5.68 all N_7 A_16 B_14 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_16),B_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_16),N_7)),hAPP_nat_int(power_power_int(B_14),N_7))))).
% 5.62/5.68 all N_6 A_15 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_15))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(power_power_real(A_15),N_6)))).
% 5.62/5.68 all N_6 A_15 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_15),N_6)))).
% 5.62/5.68 all N_6 A_15 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_nat_int(power_power_int(A_15),N_6)))).
% 5.62/5.68 all M_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,M_2))).
% 5.62/5.68 all M_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,M_2))).
% 5.62/5.68 all M_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,M_2))).
% 5.62/5.68 all N_5 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,N_5))).
% 5.62/5.68 all N_5 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,N_5))).
% 5.62/5.68 all N_5 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_5))).
% 5.62/5.68 all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),bit1(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1))).
% 5.62/5.68 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 5.62/5.68 all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(K_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2))).
% 5.62/5.68 all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),pls))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.62/5.68 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(X),Y))))).
% 5.62/5.68 all Z_4 Z_2 W_1 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_4),Z_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(W_1),Z_4)),hAPP_int_int(plus_plus_int(W),Z_2))))).
% 5.62/5.68 all Z_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z_2))).
% 5.62/5.68 all P_1 ((exists X_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_12))&hBOOL(hAPP_int_bool(P_1,X_12))))<-> (exists X_12 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_12))))).
% 5.62/5.68 all P_1 ((all X_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_12))->hBOOL(hAPP_int_bool(P_1,X_12))))<-> (all X_12 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_12))))).
% 5.62/5.68 all N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 5.62/5.68 all N_1 X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(X),N_1)))).
% 5.62/5.68 all Wa Z_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_3))<-> (exists N (Z_3=hAPP_int_int(plus_plus_int(Wa),hAPP_nat_int(semiri1621563631at_int,N))))).
% 5.62/5.68 all V_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_5))->hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(V_5))=number267125858f_real(succ(V_5))).
% 5.62/5.68 all V_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_5))->hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_5))=number_number_of_nat(succ(V_5))).
% 5.62/5.68 all V_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_5))->hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(V_5))=number_number_of_int(succ(V_5))).
% 5.62/5.68 all V_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_4))->hAPP_real_real(plus_plus_real(number267125858f_real(V_4)),one_one_real)=number267125858f_real(succ(V_4))).
% 5.62/5.68 all V_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_4))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_4)),one_one_nat)=number_number_of_nat(succ(V_4))).
% 5.62/5.68 all V_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_4))->hAPP_int_int(plus_plus_int(number_number_of_int(V_4)),one_one_int)=number_number_of_int(succ(V_4))).
% 5.62/5.68 all B_13 A_14 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_14))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_13))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_14),B_13))))).
% 5.62/5.68 all B_13 A_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_14),B_13))))).
% 5.62/5.68 all B_13 A_14 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_14),B_13))))).
% 5.62/5.68 all B_12 A_13 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_13))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_12))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_13),B_12))))).
% 5.62/5.68 all B_12 A_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_13))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_12))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_13),B_12))))).
% 5.62/5.68 all B_12 A_13 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_13))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_12))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_13),B_12))))).
% 5.62/5.68 all B_11 C_5 A_12 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_12))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_11),C_5))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_11),hAPP_real_real(plus_plus_real(A_12),C_5))))).
% 5.62/5.68 all B_11 C_5 A_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_12))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_11),C_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_11),hAPP_nat_nat(plus_plus_nat(A_12),C_5))))).
% 5.62/5.68 all B_11 C_5 A_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_11),C_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_11),hAPP_int_int(plus_plus_int(A_12),C_5))))).
% 5.62/5.68 all B_10 C_4 A_11 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_11))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_10),C_4))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_10),hAPP_real_real(plus_plus_real(A_11),C_4))))).
% 5.62/5.68 all B_10 C_4 A_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_11))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_10),C_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_10),hAPP_nat_nat(plus_plus_nat(A_11),C_4))))).
% 5.62/5.68 all B_10 C_4 A_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_11))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),C_4))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),hAPP_int_int(plus_plus_int(A_11),C_4))))).
% 5.62/5.68 all B_9 A_10 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_10),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_9),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_10),B_9)),zero_zero_real)))).
% 5.62/5.68 all B_9 A_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_10),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_9),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_10),B_9)),zero_zero_nat)))).
% 5.62/5.68 all B_9 A_10 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_10),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_9),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_10),B_9)),zero_zero_int)))).
% 5.62/5.68 all B_8 A_9 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_9),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_8),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_9),B_8)),zero_zero_real)))).
% 5.62/5.68 all B_8 A_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_8),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_9),B_8)),zero_zero_nat)))).
% 5.62/5.68 all B_8 A_9 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_8),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_9),B_8)),zero_zero_int)))).
% 5.62/5.68 all A_8 N_4 B_7 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_8),N_4)),hAPP_nat_real(power_power_real(B_7),N_4)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_7))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_8),B_7)))).
% 5.62/5.68 all A_8 N_4 B_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_8),N_4)),hAPP_nat_nat(power_power_nat(B_7),N_4)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_8),B_7)))).
% 5.62/5.68 all A_8 N_4 B_7 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_8),N_4)),hAPP_nat_int(power_power_int(B_7),N_4)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_8),B_7)))).
% 5.62/5.68 all Va (zero_zero_nat=number_number_of_nat(Va)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls))).
% 5.62/5.68 all Va (number_number_of_nat(Va)=zero_zero_nat<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls))).
% 5.62/5.68 all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2))).
% 5.62/5.68 all K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),bit1(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1))).
% 5.62/5.68 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 5.62/5.68 all K_2 L_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),bit0(L_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1))).
% 5.62/5.68 all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit0(K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 5.62/5.68 all Z_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_3))).
% 5.62/5.68 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))<->Na=zero_zero_nat).
% 5.62/5.68 succ(pls)=bit1(pls).
% 5.62/5.68 all K (succ(bit0(K))=bit1(K)).
% 5.62/5.68 all K (succ(bit1(K))=bit0(succ(K))).
% 5.62/5.68 all Wa Z_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_3))).
% 5.62/5.68 all Wa Z_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Wa),one_one_int)),Z_3))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_3))).
% 5.62/5.68 all W Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(W),one_one_int)),Z_2))).
% 5.62/5.68 all K (succ(K)=hAPP_int_int(plus_plus_int(K),one_one_int)).
% 5.62/5.68 all A_7 N_3 B_6 (hAPP_nat_real(power_power_real(A_7),N_3)=hAPP_nat_real(power_power_real(B_6),N_3)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_7))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3))->A_7=B_6)))).
% 5.62/5.68 all A_7 N_3 B_6 (hAPP_nat_nat(power_power_nat(A_7),N_3)=hAPP_nat_nat(power_power_nat(B_6),N_3)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_7))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3))->A_7=B_6)))).
% 5.62/5.68 all A_7 N_3 B_6 (hAPP_nat_int(power_power_int(A_7),N_3)=hAPP_nat_int(power_power_int(B_6),N_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_7))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3))->A_7=B_6)))).
% 5.62/5.68 all V_3 V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_3))->hAPP_real_real(plus_plus_real(number267125858f_real(V_2)),number267125858f_real(V_3))=number267125858f_real(hAPP_int_int(plus_plus_int(V_2),V_3)))).
% 5.62/5.68 all V_3 V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_3))->hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),number_number_of_nat(V_3))=number_number_of_nat(hAPP_int_int(plus_plus_int(V_2),V_3)))).
% 5.62/5.68 all V_3 V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_3))->hAPP_int_int(plus_plus_int(number_number_of_int(V_2)),number_number_of_int(V_3))=number_number_of_int(hAPP_int_int(plus_plus_int(V_2),V_3)))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))).
% 5.62/5.68 all Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),Z_2)))).
% 5.62/5.68 all K_3 (number267125858f_real(succ(K_3))=hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(K_3))).
% 5.62/5.68 all K_3 (number_number_of_int(succ(K_3))=hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(K_3))).
% 5.62/5.68 all K L (hAPP_int_int(plus_plus_int(bit1(K)),bit1(L))=bit0(hAPP_int_int(plus_plus_int(K),succ(L)))).
% 5.62/5.68 all N_2 A_6 B_5 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_6),B_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_6),N_2)),hAPP_nat_real(power_power_real(B_5),N_2)))))).
% 5.62/5.68 all N_2 A_6 B_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),B_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_6),N_2)),hAPP_nat_nat(power_power_nat(B_5),N_2)))))).
% 5.62/5.68 all N_2 A_6 B_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_6),B_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_6),N_2)),hAPP_nat_int(power_power_int(B_5),N_2)))))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))).
% 5.62/5.68 all X hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X),hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls)))))).
% 5.62/5.68 all A_5 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(power_power_real(A_5),number_number_of_nat(bit0(bit1(pls)))))).
% 5.62/5.68 all A_5 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(A_5),number_number_of_nat(bit0(bit1(pls)))))).
% 5.62/5.68 all X_11 Y_10 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_10),number_number_of_nat(bit0(bit1(pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_10))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_11),Y_10)))).
% 5.62/5.68 all X_11 Y_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_10),number_number_of_nat(bit0(bit1(pls))))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_10))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_11),Y_10)))).
% 5.62/5.68 all X_11 Y_10 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_10),number_number_of_nat(bit0(bit1(pls))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_11),Y_10)))).
% 5.62/5.68 all X_10 Y_9 (hAPP_nat_real(power_power_real(X_10),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_real(power_power_real(Y_9),number_number_of_nat(bit0(bit1(pls))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_9))->X_10=Y_9))).
% 5.62/5.68 all X_10 Y_9 (hAPP_nat_nat(power_power_nat(X_10),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_nat(power_power_nat(Y_9),number_number_of_nat(bit0(bit1(pls))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_9))->X_10=Y_9))).
% 5.62/5.68 all X_10 Y_9 (hAPP_nat_int(power_power_int(X_10),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(Y_9),number_number_of_nat(bit0(bit1(pls))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_9))->X_10=Y_9))).
% 5.62/5.68 all V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(V_1)))->hAPP_nat_real(semiri132038758t_real,number_number_of_nat(V_1))=number267125858f_real(V_1))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(V_1)))->hAPP_nat_real(semiri132038758t_real,number_number_of_nat(V_1))=zero_zero_real)).
% 5.62/5.68 all V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(V_1)))->hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V_1))=number_number_of_int(V_1))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(V_1)))->hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V_1))=zero_zero_int)).
% 5.62/5.68 all X_9 Y_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_8),number_number_of_nat(bit0(bit1(pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_9),Y_8)))).
% 5.62/5.68 all X_9 Y_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_8),number_number_of_nat(bit0(bit1(pls))))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_8)))).
% 5.62/5.68 all X_9 Y_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_8),number_number_of_nat(bit0(bit1(pls))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_9),Y_8)))).
% 5.62/5.68 all X_8 Y_7 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_8),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_7),number_number_of_nat(bit0(bit1(pls))))))).
% 5.62/5.68 all X_8 Y_7 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_8),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_7),number_number_of_nat(bit0(bit1(pls))))))).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))<->Xa=zero_zero_real&Ya=zero_zero_real).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))<->Xa=zero_zero_int&Ya=zero_zero_int).
% 5.62/5.68 all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),number_number_of_int(bit0(bit1(pls)))))->X=zero_zero_int|X=one_one_int)).
% 5.62/5.68 all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(N_1))))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(N_1))))).
% 5.62/5.68 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(pls))).
% 5.62/5.68 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> (exists N (K=hAPP_nat_int(semiri1621563631at_int,N)))).
% 5.62/5.68 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> -(all N (K!=hAPP_nat_int(semiri1621563631at_int,N)))).
% 5.62/5.68 all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 5.62/5.68 all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 5.62/5.68 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))<->Na=zero_zero_nat).
% 5.62/5.68 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|M_1=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 5.62/5.68 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))-> (M_1!=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)))).
% 5.62/5.68 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma=Na).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))&Ma!=Na).
% 5.62/5.68 all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_1)).
% 5.62/5.68 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))).
% 5.62/5.68 all M_1 N_1 (M_1=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 5.62/5.68 all K I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K)))).
% 5.62/5.68 all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))->M_1=N_1)).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|Xa=Ya).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))&Xa!=Ya).
% 5.62/5.68 all N_1 M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(plus_plus_nat(M_1),N_1))).
% 5.62/5.68 all N_1 M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(plus_plus_nat(N_1),M_1))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))<-> (exists K_1 (Na=hAPP_nat_nat(plus_plus_nat(Ma),K_1)))).
% 5.62/5.68 all K_2 Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_2),Ma)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 5.62/5.68 all M_1 I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),hAPP_nat_nat(plus_plus_nat(J_2),M_1)))).
% 5.62/5.68 all M_1 I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),hAPP_nat_nat(plus_plus_nat(M_1),J_2)))).
% 5.62/5.68 all K I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),K)))).
% 5.62/5.68 all K L I_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))))).
% 5.62/5.68 all M_1 K N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1))).
% 5.62/5.68 all M_1 K N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))).
% 5.62/5.68 all M_1 K N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1)))).
% 5.62/5.68 all Z_2 X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(Z_2),X)),hAPP_real_real(plus_plus_real(Z_2),Y)))).
% 5.62/5.68 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))).
% 5.62/5.68 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 5.62/5.68 all Va V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(V)))<-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),V))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)))).
% 5.62/5.68 all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_1))).
% 5.62/5.68 all P_2 P_1 Xa ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(P_1)<->hBOOL(P_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))&hBOOL(P_1)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))&hBOOL(P_2))).
% 5.62/5.68 all P_2 P_1 Xa ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(P_1)<->hBOOL(P_2)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hBOOL(P_1))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hBOOL(P_2)))).
% 5.62/5.68 all Na P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,Na))-> (exists K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),Na))& (all I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),K_1))-> -hBOOL(hAPP_nat_bool(P_1,I_1))))&hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(plus_plus_nat(K_1),one_one_nat))))))).
% 5.62/5.68 all Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))-> -(all M (Z_2!=hAPP_nat_int(semiri1621563631at_int,M)))).
% 5.62/5.68 all Ma K_2 F ((all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M)),hAPP_nat_nat(F,N)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,Ma)),K_2)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(Ma),K_2))))).
% 5.62/5.68 all W hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),W)).
% 5.62/5.68 all Z_2 W (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_2),W))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z_2))).
% 5.62/5.68 all K I_2 J_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I_2),J_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,J_2),K))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I_2),K)))).
% 5.62/5.68 all Z_2 W (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_2),W))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z_2))->Z_2=W)).
% 5.62/5.68 all P_1 K_2 I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),I))-> (hBOOL(hAPP_int_bool(P_1,K_2))-> ((all I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),I_1))-> (hBOOL(hAPP_int_bool(P_1,I_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(I_1),one_one_int))))))->hBOOL(hAPP_int_bool(P_1,I))))).
% 5.62/5.68 all Na P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,Na))-> (exists K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),Na))& (all I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),K_1))-> -hBOOL(hAPP_nat_bool(P_1,I_1))))&hBOOL(hAPP_nat_bool(P_1,K_1)))))).
% 5.62/5.68 all I J F ((all I_1 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I)),hAPP_nat_nat(F,J))))).
% 5.62/5.68 all X_7 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_7),X_7)).
% 5.62/5.68 all X_7 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_7),X_7)).
% 5.62/5.68 all X_7 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_7),X_7)).
% 5.62/5.68 all X_6 Y_6 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_6),Y_6))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_6),X_6))).
% 5.62/5.68 all X_6 Y_6 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_6),Y_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_6),X_6))).
% 5.62/5.68 all X_6 Y_6 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_6),Y_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_6),X_6))).
% 5.62/5.68 all Z_1 Y_5 X_5 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_5),X_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),Y_5))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),X_5)))).
% 5.71/5.69 all Z_1 Y_5 X_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_5),X_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_1),Y_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_1),X_5)))).
% 5.71/5.69 all Z_1 Y_5 X_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_5),X_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),Y_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),X_5)))).
% 5.71/5.69 all Y_4 X_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_4),X_4))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_4),Y_4))->X_4=Y_4)).
% 5.71/5.69 all Y_4 X_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_4),X_4))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Y_4))->X_4=Y_4)).
% 5.71/5.69 all Y_4 X_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_4),X_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_4),Y_4))->X_4=Y_4)).
% 5.71/5.69 all Z X_3 Y_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_3),Y_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_3),Z))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_3),Z)))).
% 5.71/5.69 all Z X_3 Y_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Y_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),Z))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Z)))).
% 5.71/5.69 all Z X_3 Y_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_3),Y_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),Z))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_3),Z)))).
% 5.71/5.69 all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_2))->X_2=Y_2)).
% 5.71/5.69 all X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_2))->X_2=Y_2)).
% 5.71/5.69 all X_2 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),Y_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_2))->X_2=Y_2)).
% 5.71/5.69 all C_3 B_4 A_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),A_4))-> (B_4=C_3->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_3),A_4)))).
% 5.71/5.69 all C_3 B_4 A_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_4),A_4))-> (B_4=C_3->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_3),A_4)))).
% 5.71/5.69 all C_3 B_4 A_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),A_4))-> (B_4=C_3->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_3),A_4)))).
% 5.71/5.69 all C_2 A_3 B_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_3),B_3))-> (B_3=C_2->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_3),C_2)))).
% 5.71/5.69 all C_2 A_3 B_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_3),B_3))-> (B_3=C_2->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_3),C_2)))).
% 5.71/5.69 all C_2 A_3 B_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),B_3))-> (B_3=C_2->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),C_2)))).
% 5.71/5.69 all C_1 A_2 B_2 (A_2=B_2-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),B_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),A_2)))).
% 5.71/5.69 all C_1 A_2 B_2 (A_2=B_2-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_1),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_1),A_2)))).
% 5.71/5.69 all C_1 A_2 B_2 (A_2=B_2-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),A_2)))).
% 5.71/5.69 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_1),C))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),C)))).
% 5.71/5.69 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_1),C))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),C)))).
% 5.71/5.69 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),C))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),C)))).
% 5.71/5.69 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->Xa=Ya)).
% 5.71/5.69 all Ya Xa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))<->Xa=Ya)).
% 5.71/5.69 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))<->Xa=Ya)).
% 5.71/5.69 all X_1 Y_1 (X_1=Y_1->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1))).
% 5.71/5.69 all D2 D1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))-> (exists E (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,E),D1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,E),D2)))))).
% 5.71/5.69 all X Y hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),sqrt(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y),number_number_of_nat(bit0(bit1(pls)))))))).
% 5.71/5.69 all A B (hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(bit1(pls))))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.69 all K L (times_times_int(bit1(K),L)=hAPP_int_int(plus_plus_int(bit0(times_times_int(K,L))),L)).
% 5.71/5.69 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(X)))).
% 5.71/5.69 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->sqrt(X)!=zero_zero_real).
% 5.71/5.69 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(Xa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))).
% 5.71/5.69 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya))).
% 5.71/5.69 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(Xa)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real))).
% 5.71/5.69 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),sqrt(Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Ya))).
% 5.71/5.69 all X Y (hAPP_nat_nat(if_nat(fTrue,X),Y)=X).
% 5.71/5.69 all X Y (hAPP_nat_nat(if_nat(fFalse,X),Y)=Y).
% 5.71/5.69 all P (is_bool(P)->P=fTrue|P=fFalse).
% 5.71/5.69 -(hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_int).
% 5.71/5.69 end_of_list.
% 5.71/5.69
% 5.71/5.69 -------> usable clausifies to:
% 5.71/5.69
% 5.71/5.69 list(usable).
% 5.71/5.69 0 [] A=A.
% 5.71/5.69 0 [] is_bool(fFalse).
% 5.71/5.69 0 [] is_bool(fTrue).
% 5.71/5.69 0 [] is_bool(hAPP_int_bool(B_1_1,B_2_1)).
% 5.71/5.69 0 [] is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 5.71/5.69 0 [] is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|Xa=zero_zero_int.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|Ya=zero_zero_int.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|Xa!=zero_zero_int|Ya!=zero_zero_int.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Xa=zero_zero_real.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Ya=zero_zero_real.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls))))=one_one_int.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls))))=one_one_nat.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls))))=one_one_real.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_int|A_24=zero_zero_int.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|A_24!=zero_zero_int.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_24),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_real|A_24=zero_zero_real.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_24),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real|A_24!=zero_zero_real.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_8))=number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),W_8)).
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(W_8))=number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),W_8)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(V_11)),one_one_int)=number_number_of_int(hAPP_int_int(plus_plus_int(V_11),bit1(pls))).
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(number267125858f_real(V_11)),one_one_real)=number267125858f_real(hAPP_int_int(plus_plus_int(V_11),bit1(pls))).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(one_one_int),one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(one_one_real),one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(one_one_int),one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(one_one_real),one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit0(bit1(pls))))).
% 5.71/5.69 0 [] number_number_of_nat(W_7)!=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_7))=one_one_int.
% 5.71/5.69 0 [] number_number_of_nat(W_7)=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(W_7))=zero_zero_int.
% 5.71/5.69 0 [] number_number_of_nat(W_7)!=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_7))=one_one_nat.
% 5.71/5.69 0 [] number_number_of_nat(W_7)=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(W_7))=zero_zero_nat.
% 5.71/5.69 0 [] number_number_of_nat(W_7)!=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_7))=one_one_real.
% 5.71/5.69 0 [] number_number_of_nat(W_7)=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(W_7))=zero_zero_real.
% 5.71/5.69 0 [] one_one_int=number_number_of_int(bit1(pls)).
% 5.71/5.69 0 [] one_one_real=number267125858f_real(bit1(pls)).
% 5.71/5.69 0 [] number_number_of_int(bit1(pls))=one_one_int.
% 5.71/5.69 0 [] number267125858f_real(bit1(pls))=one_one_real.
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))|X=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K_2)),number_number_of_int(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(K_2)),number_number_of_int(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(V_6)),number_number_of_int(W))=number_number_of_int(hAPP_int_int(plus_plus_int(V_6),W)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya)).
% 5.71/5.69 0 [] zero_zero_int=number_number_of_int(pls).
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_1)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_1),N_1)).
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_1),N_1))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_1)),N_1).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,N_1)),Z_2))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_1),N_1))),Z_2).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_1),N_1)).
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 5.71/5.69 0 [] number_number_of_nat(pls)=zero_zero_nat.
% 5.71/5.69 0 [] zero_zero_nat=number_number_of_nat(pls).
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,Na)!=zero_zero_int|Na=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,Na)=zero_zero_int|Na!=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),bit1(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),bit1(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit0(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),bit0(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),bit0(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),J_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(I_2),K)),hAPP_int_int(plus_plus_int(J_2),K))).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10))=number_number_of_nat(V_10).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_10),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10))=number_number_of_nat(V_6).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_10),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),number_number_of_nat(V_10))=number_number_of_nat(hAPP_int_int(plus_plus_int(V_6),V_10)).
% 5.71/5.69 0 [] one_one_int=number_number_of_int(bit1(pls)).
% 5.71/5.69 0 [] number_number_of_nat(bit1(pls))=one_one_nat.
% 5.71/5.69 0 [] one_one_nat=number_number_of_nat(bit1(pls)).
% 5.71/5.69 0 [] number_number_of_int(Xa)!=number_number_of_int(Ya)|Xa=Ya.
% 5.71/5.69 0 [] number_number_of_int(Xa)=number_number_of_int(Ya)|Xa!=Ya.
% 5.71/5.69 0 [] number267125858f_real(Xa)!=number267125858f_real(Ya)|Xa=Ya.
% 5.71/5.69 0 [] number267125858f_real(Xa)=number267125858f_real(Ya)|Xa!=Ya.
% 5.71/5.69 0 [] number_number_of_nat(Wa)!=Xa|Xa=number_number_of_nat(Wa).
% 5.71/5.69 0 [] number_number_of_nat(Wa)=Xa|Xa!=number_number_of_nat(Wa).
% 5.71/5.69 0 [] number_number_of_int(Wa)!=Xa|Xa=number_number_of_int(Wa).
% 5.71/5.69 0 [] number_number_of_int(Wa)=Xa|Xa!=number_number_of_int(Wa).
% 5.71/5.69 0 [] number267125858f_real(Wa)!=Xa|Xa=number267125858f_real(Wa).
% 5.71/5.69 0 [] number267125858f_real(Wa)=Xa|Xa!=number267125858f_real(Wa).
% 5.71/5.69 0 [] bit1(K_2)!=bit1(L_1)|K_2=L_1.
% 5.71/5.69 0 [] bit1(K_2)=bit1(L_1)|K_2!=L_1.
% 5.71/5.69 0 [] bit0(K_2)!=bit0(L_1)|K_2=L_1.
% 5.71/5.69 0 [] bit0(K_2)=bit0(L_1)|K_2!=L_1.
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),zero_zero_int)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),zero_zero_int)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),zero_zero_real)).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),zero_zero_real)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(Z1),Z2)),Z3)=hAPP_int_int(plus_plus_int(Z1),hAPP_int_int(plus_plus_int(Z2),Z3)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(X),hAPP_int_int(plus_plus_int(Y),Z_2))=hAPP_int_int(plus_plus_int(Y),hAPP_int_int(plus_plus_int(X),Z_2)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(Z_2),W)=hAPP_int_int(plus_plus_int(W),Z_2).
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)!=hAPP_nat_int(semiri1621563631at_int,Na)|Ma=Na.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)|Ma!=Na.
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K1)),bit0(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),bit0(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(K_2)),bit0(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K_2)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(K_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K_2)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(Wa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(Wa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(Wa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(Wa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_3))|Wa=Z_3.
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_3)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int)))|Wa!=Z_3.
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K)),zero_zero_int)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Xa)),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),one_one_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Xa)),one_one_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),bit1(pls))).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_3)),Z_3)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),zero_zero_int)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_3)),Z_3)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),zero_zero_int)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(A_24),A_24)!=zero_zero_int|A_24=zero_zero_int.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(A_24),A_24)=zero_zero_int|A_24!=zero_zero_int.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(A_24),A_24)!=zero_zero_real|A_24=zero_zero_real.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(A_24),A_24)=zero_zero_real|A_24!=zero_zero_real.
% 5.71/5.69 0 [] bit1(K)!=pls.
% 5.71/5.69 0 [] pls!=bit1(L).
% 5.71/5.69 0 [] bit1(K)!=bit0(L).
% 5.71/5.69 0 [] bit0(K)!=bit1(L).
% 5.71/5.69 0 [] bit0(K_2)!=pls|K_2=pls.
% 5.71/5.69 0 [] bit0(K_2)=pls|K_2!=pls.
% 5.71/5.69 0 [] pls!=bit0(L_1)|pls=L_1.
% 5.71/5.69 0 [] pls=bit0(L_1)|pls!=L_1.
% 5.71/5.69 0 [] bit0(pls)=pls.
% 5.71/5.69 0 [] pls=zero_zero_int.
% 5.71/5.69 0 [] zero_zero_int!=one_one_int.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(K),pls)=K.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(pls),K)=K.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(bit0(K)),bit0(L))=bit0(hAPP_int_int(plus_plus_int(K),L)).
% 5.71/5.69 0 [] bit0(K)=hAPP_int_int(plus_plus_int(K),K).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(Z_2),zero_zero_int)=Z_2.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(zero_zero_int),Z_2)=Z_2.
% 5.71/5.69 0 [] number_number_of_int(pls)=zero_zero_int.
% 5.71/5.69 0 [] number_number_of_nat(pls)=zero_zero_nat.
% 5.71/5.69 0 [] number267125858f_real(pls)=zero_zero_real.
% 5.71/5.69 0 [] number_number_of_int(pls)=zero_zero_int.
% 5.71/5.69 0 [] number267125858f_real(pls)=zero_zero_real.
% 5.71/5.69 0 [] zero_zero_int=number_number_of_int(pls).
% 5.71/5.69 0 [] zero_zero_real=number267125858f_real(pls).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(pls)),A_68)=A_68.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(number267125858f_real(pls)),A_68)=A_68.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(A_67),number_number_of_int(pls))=A_67.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(A_67),number267125858f_real(pls))=A_67.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_24),number_number_of_nat(Wa))!=zero_zero_int|A_24=zero_zero_int.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_24),number_number_of_nat(Wa))!=zero_zero_int|number_number_of_nat(Wa)!=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_24),number_number_of_nat(Wa))=zero_zero_int|A_24!=zero_zero_int|number_number_of_nat(Wa)=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(A_24),number_number_of_nat(Wa))!=zero_zero_nat|A_24=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(A_24),number_number_of_nat(Wa))!=zero_zero_nat|number_number_of_nat(Wa)!=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(A_24),number_number_of_nat(Wa))=zero_zero_nat|A_24!=zero_zero_nat|number_number_of_nat(Wa)=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_24),number_number_of_nat(Wa))!=zero_zero_real|A_24=zero_zero_real.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_24),number_number_of_nat(Wa))!=zero_zero_real|number_number_of_nat(Wa)!=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_24),number_number_of_nat(Wa))=zero_zero_real|A_24!=zero_zero_real|number_number_of_nat(Wa)=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(V_9)),hAPP_int_int(plus_plus_int(number_number_of_int(W_6)),Z_5))=hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(V_9),W_6))),Z_5).
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(number267125858f_real(V_9)),hAPP_real_real(plus_plus_real(number267125858f_real(W_6)),Z_5))=hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(V_9),W_6))),Z_5).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(V_8)),number_number_of_int(W_5))=number_number_of_int(hAPP_int_int(plus_plus_int(V_8),W_5)).
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(number267125858f_real(V_8)),number267125858f_real(W_5))=number267125858f_real(hAPP_int_int(plus_plus_int(V_8),W_5)).
% 5.71/5.69 0 [] number_number_of_int(hAPP_int_int(plus_plus_int(V_7),W_4))=hAPP_int_int(plus_plus_int(number_number_of_int(V_7)),number_number_of_int(W_4)).
% 5.71/5.69 0 [] number267125858f_real(hAPP_int_int(plus_plus_int(V_7),W_4))=hAPP_real_real(plus_plus_real(number267125858f_real(V_7)),number267125858f_real(W_4)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(bit1(K)),bit0(L))=bit1(hAPP_int_int(plus_plus_int(K),L)).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(bit0(K)),bit1(L))=bit1(hAPP_int_int(plus_plus_int(K),L)).
% 5.71/5.69 0 [] bit1(K)=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),K)),K).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),Z_2)),Z_2)!=zero_zero_int.
% 5.71/5.69 0 [] number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,N_29))=hAPP_nat_nat(semiri984289939at_nat,N_29).
% 5.71/5.69 0 [] number_number_of_int(hAPP_nat_int(semiri1621563631at_int,N_29))=hAPP_nat_int(semiri1621563631at_int,N_29).
% 5.71/5.69 0 [] number267125858f_real(hAPP_nat_int(semiri1621563631at_int,N_29))=hAPP_nat_real(semiri132038758t_real,N_29).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))))|A_24!=zero_zero_int.
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_24),number_number_of_nat(bit0(bit1(pls))))))|A_24=zero_zero_int.
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_24),number_number_of_nat(bit0(bit1(pls))))))|A_24!=zero_zero_real.
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_24),number_number_of_nat(bit0(bit1(pls))))))|A_24=zero_zero_real.
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_66),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_66),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Xa!=zero_zero_int|Ya!=zero_zero_int.
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Xa=zero_zero_int.
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Ya=zero_zero_int.
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Xa=zero_zero_real.
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))))|Ya=zero_zero_real.
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_16),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_13),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_16),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_13),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)).
% 5.71/5.69 0 [] number_number_of_int(bit0(W_3))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(zero_zero_int),number_number_of_int(W_3))),number_number_of_int(W_3)).
% 5.71/5.69 0 [] number267125858f_real(bit0(W_3))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(zero_zero_real),number267125858f_real(W_3))),number267125858f_real(W_3)).
% 5.71/5.69 0 [] number_number_of_int(bit1(W_2))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(W_2))),number_number_of_int(W_2)).
% 5.71/5.69 0 [] number267125858f_real(bit1(W_2))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(W_2))),number267125858f_real(W_2)).
% 5.71/5.69 0 [] number_number_of_int(bit1(pls))=one_one_int.
% 5.71/5.69 0 [] number_number_of_nat(bit1(pls))=one_one_nat.
% 5.71/5.69 0 [] number267125858f_real(bit1(pls))=one_one_real.
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_28)),hAPP_nat_int(power_power_int(number_number_of_int(bit0(bit1(pls)))),N_28))).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,N_28)),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_28))).
% 5.71/5.69 0 [] number_number_of_int(bit0(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit0(bit1(pls)))).
% 5.71/5.69 0 [] number_number_of_int(bit1(bit1(pls)))=hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls)))).
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Xa=zero_zero_real.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|Ya=zero_zero_real.
% 5.71/5.69 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_65))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A_65),N_27))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_65))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_65),N_27))).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_65))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_27))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A_65),N_27))).
% 5.71/5.69 0 [] N_26!=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),N_26)=one_one_int.
% 5.71/5.69 0 [] N_26=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),N_26)=zero_zero_int.
% 5.71/5.69 0 [] N_26!=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),N_26)=one_one_nat.
% 5.71/5.69 0 [] N_26=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),N_26)=zero_zero_nat.
% 5.71/5.69 0 [] N_26!=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),N_26)=one_one_real.
% 5.71/5.69 0 [] N_26=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),N_26)=zero_zero_real.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_64))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_64),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_64),N_24)),hAPP_nat_int(power_power_int(A_64),N_25))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_64))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_64),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_64),N_24)),hAPP_nat_nat(power_power_nat(A_64),N_25))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_25),N_24))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_64))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_64),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_64),N_24)),hAPP_nat_real(power_power_real(A_64),N_25))).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),one_one_int))).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat))).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(one_one_real),one_one_real))).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),I))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_2),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),$f1(P_1,K_2,I)))|hBOOL(hAPP_int_bool(P_1,I)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),I))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_2),one_one_int)))|hBOOL(hAPP_int_bool(P_1,$f1(P_1,K_2,I)))|hBOOL(hAPP_int_bool(P_1,I)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),I))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int(K_2),one_one_int)))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int($f1(P_1,K_2,I)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 5.71/5.69 0 [] zero_zero_real!=one_one_real.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),J_2)),I_2)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(J_2),I_2)),I_2)).
% 5.71/5.69 0 [] number_number_of_int(K)=K.
% 5.71/5.69 0 [] Ma=Na|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma)).
% 5.71/5.69 0 [] Ma!=Na| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] Ma!=Na| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma)).
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_1)=hAPP_nat_nat(plus_plus_nat(N_1),M_1).
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(X),hAPP_nat_nat(plus_plus_nat(Y),Z_2))=hAPP_nat_nat(plus_plus_nat(Y),hAPP_nat_nat(plus_plus_nat(X),Z_2)).
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(M_1),N_1)),K)=hAPP_nat_nat(plus_plus_nat(M_1),hAPP_nat_nat(plus_plus_nat(N_1),K)).
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(K_2),Ma)!=hAPP_nat_nat(plus_plus_nat(K_2),Na)|Ma=Na.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(K_2),Ma)=hAPP_nat_nat(plus_plus_nat(K_2),Na)|Ma!=Na.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(Ma),K_2)!=hAPP_nat_nat(plus_plus_nat(Na),K_2)|Ma=Na.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(Ma),K_2)=hAPP_nat_nat(plus_plus_nat(Na),K_2)|Ma!=Na.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_2),Ma)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(K_2),Ma)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] X=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M_1))|M_1!=N_1.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S),T))|S!=T.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(plus_plus_nat(J_2),M_1))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),hAPP_nat_nat(plus_plus_nat(M_1),J_2))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),K))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),L))|hAPP_nat_nat(plus_plus_nat(M_1),L)!=hAPP_nat_nat(plus_plus_nat(K),N_1)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(I_2),J_2)),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma=Na|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)).
% 5.71/5.69 0 [] N_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|N_1!=zero_zero_nat.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(I_2),M_1)),hAPP_nat_nat(power_power_nat(I_2),N_1)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))|Na=zero_zero_nat.
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))|Na!=zero_zero_nat.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(Ma),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(Ma),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(Ma),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] Na!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))|Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))|Na!=zero_zero_nat.
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))|number_number_of_nat(Wa)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))|number_number_of_nat(Wa)!=zero_zero_nat.
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(Xa),number_number_of_nat(Wa))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Va)),number_number_of_nat(V)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V)).
% 5.71/5.69 0 [] X_15=Y_12|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_15),Y_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_12),X_15)).
% 5.71/5.69 0 [] X_15=Y_12|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_15),Y_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_12),X_15)).
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(M_1),N_1)!=M_1|N_1=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(Ma),Na)!=zero_zero_nat|Ma=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(Ma),Na)!=zero_zero_nat|Na=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(Ma),Na)=zero_zero_nat|Ma!=zero_zero_nat|Na!=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(M_1),zero_zero_nat)=M_1.
% 5.71/5.69 0 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),N_1)=N_1.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_63),one_one_nat)=A_63.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(A_63),one_one_nat)=A_63.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_63),one_one_nat)=A_63.
% 5.71/5.69 0 [] hAPP_nat_real(semiri132038758t_real,Ma)!=hAPP_nat_real(semiri132038758t_real,Na)|Ma=Na.
% 5.71/5.69 0 [] hAPP_nat_real(semiri132038758t_real,Ma)=hAPP_nat_real(semiri132038758t_real,Na)|Ma!=Na.
% 5.71/5.69 0 [] hAPP_nat_nat(semiri984289939at_nat,Ma)!=hAPP_nat_nat(semiri984289939at_nat,Na)|Ma=Na.
% 5.71/5.69 0 [] hAPP_nat_nat(semiri984289939at_nat,Ma)=hAPP_nat_nat(semiri984289939at_nat,Na)|Ma!=Na.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)!=hAPP_nat_int(semiri1621563631at_int,Na)|Ma=Na.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)|Ma!=Na.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,Xa)!=hAPP_nat_int(semiri1621563631at_int,Ya)|Xa=Ya.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,Ya)|Xa!=Ya.
% 5.71/5.69 0 [] -hBOOL(P_1)|hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,Xa),Ya)).
% 5.71/5.69 0 [] hBOOL(P_1)|hAPP_nat_int(semiri1621563631at_int,Ya)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(P_1,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(Va)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(Va)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na)).
% 5.71/5.69 0 [] one_one_real!=zero_zero_real.
% 5.71/5.69 0 [] one_one_nat!=zero_zero_nat.
% 5.71/5.69 0 [] one_one_int!=zero_zero_int.
% 5.71/5.69 0 [] zero_zero_real!=one_one_real.
% 5.71/5.69 0 [] zero_zero_nat!=one_one_nat.
% 5.71/5.69 0 [] zero_zero_int!=one_one_int.
% 5.71/5.69 0 [] A_62=zero_zero_real|hAPP_nat_real(power_power_real(A_62),N_23)!=zero_zero_real.
% 5.71/5.69 0 [] A_62=zero_zero_int|hAPP_nat_int(power_power_int(A_62),N_23)!=zero_zero_int.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(one_one_real),N_22)=one_one_real.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(one_one_nat),N_22)=one_one_nat.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(one_one_int),N_22)=one_one_int.
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_9)),hAPP_nat_real(semiri132038758t_real,N_21))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_9)),hAPP_nat_nat(semiri984289939at_nat,N_21))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_21))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_9)),hAPP_nat_int(semiri1621563631at_int,N_21))).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_8)),hAPP_nat_real(semiri132038758t_real,N_20)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_8)),hAPP_nat_nat(semiri984289939at_nat,N_20)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_8)),hAPP_nat_int(semiri1621563631at_int,N_20)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_8),N_20)).
% 5.71/5.69 0 [] hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(plus_plus_nat(M_7),N_19))=hAPP_real_real(plus_plus_real(hAPP_nat_real(semiri132038758t_real,M_7)),hAPP_nat_real(semiri132038758t_real,N_19)).
% 5.71/5.69 0 [] hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(plus_plus_nat(M_7),N_19))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,M_7)),hAPP_nat_nat(semiri984289939at_nat,N_19)).
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(M_7),N_19))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,M_7)),hAPP_nat_int(semiri1621563631at_int,N_19)).
% 5.71/5.69 0 [] hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real.
% 5.71/5.69 0 [] hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 5.71/5.69 0 [] hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(M_6),N_18))=hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,M_6)),N_18).
% 5.71/5.69 0 [] hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(M_6),N_18))=hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,M_6)),N_18).
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(M_6),N_18))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,M_6)),N_18).
% 5.71/5.69 0 [] one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 5.71/5.69 0 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(X),Y)).
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,X)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(X),N_1)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_61))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),C_31))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),hAPP_real_real(plus_plus_real(A_61),C_31))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_61))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),C_31))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),hAPP_nat_nat(plus_plus_nat(A_61),C_31))).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_61))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),C_31))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),hAPP_int_int(plus_plus_int(A_61),C_31))).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_60))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A_60),N_17))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_60))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_60),N_17))).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_60))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A_60),N_17))).
% 5.71/5.69 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_59),hAPP_real_real(plus_plus_real(A_59),one_one_real))).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_59),hAPP_nat_nat(plus_plus_nat(A_59),one_one_nat))).
% 5.71/5.69 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_59),hAPP_int_int(plus_plus_int(A_59),one_one_int))).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_24))|hAPP_nat_real(power_power_real(A_24),Ma)!=hAPP_nat_real(power_power_real(A_24),Na)|Ma=Na.
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_24))|hAPP_nat_real(power_power_real(A_24),Ma)=hAPP_nat_real(power_power_real(A_24),Na)|Ma!=Na.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_24))|hAPP_nat_nat(power_power_nat(A_24),Ma)!=hAPP_nat_nat(power_power_nat(A_24),Na)|Ma=Na.
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_24))|hAPP_nat_nat(power_power_nat(A_24),Ma)=hAPP_nat_nat(power_power_nat(A_24),Na)|Ma!=Na.
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_24))|hAPP_nat_int(power_power_int(A_24),Ma)!=hAPP_nat_int(power_power_int(A_24),Na)|Ma=Na.
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_24))|hAPP_nat_int(power_power_int(A_24),Ma)=hAPP_nat_int(power_power_int(A_24),Na)|Ma!=Na.
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_21))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B_21),Xa)),hAPP_nat_real(power_power_real(B_21),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_21))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(B_21),Xa)),hAPP_nat_real(power_power_real(B_21),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B_21),Xa)),hAPP_nat_nat(power_power_nat(B_21),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_21))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(B_21),Xa)),hAPP_nat_nat(power_power_nat(B_21),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B_21),Xa)),hAPP_nat_int(power_power_int(B_21),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_21))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(B_21),Xa)),hAPP_nat_int(power_power_int(B_21),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)).
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_58))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_58),M_5)),hAPP_nat_real(power_power_real(A_58),N_16)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_58))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_58),M_5)),hAPP_nat_nat(power_power_nat(A_58),N_16)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_58))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_58),M_5)),hAPP_nat_int(power_power_int(A_58),N_16)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_5),N_16)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_57))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_57),N_15)),hAPP_nat_real(power_power_real(A_57),N_14))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_57))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_57),N_15)),hAPP_nat_nat(power_power_nat(A_57),N_14))).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_15),N_14))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_57))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_57),N_15)),hAPP_nat_int(power_power_int(A_57),N_14))).
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_24),Na)!=zero_zero_real|A_24=zero_zero_real.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_24),Na)!=zero_zero_real|Na!=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_24),Na)=zero_zero_real|A_24!=zero_zero_real|Na=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(A_24),Na)!=zero_zero_nat|A_24=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(A_24),Na)!=zero_zero_nat|Na!=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(A_24),Na)=zero_zero_nat|A_24!=zero_zero_nat|Na=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_24),Na)!=zero_zero_int|A_24=zero_zero_int.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_24),Na)!=zero_zero_int|Na!=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_24),Na)=zero_zero_int|A_24!=zero_zero_int|Na=zero_zero_nat.
% 5.71/5.69 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_4)),zero_zero_real)).
% 5.71/5.69 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_4)),zero_zero_nat)).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_4)),zero_zero_int)).
% 5.71/5.69 0 [] hAPP_nat_real(power_power_real(A_56),zero_zero_nat)=one_one_real.
% 5.71/5.69 0 [] hAPP_nat_nat(power_power_nat(A_56),zero_zero_nat)=one_one_nat.
% 5.71/5.69 0 [] hAPP_nat_int(power_power_int(A_56),zero_zero_nat)=one_one_int.
% 5.71/5.69 0 [] hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real.
% 5.71/5.69 0 [] hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat.
% 5.71/5.69 0 [] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 5.71/5.69 0 [] zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 5.71/5.69 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f2(K))).
% 5.71/5.69 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))|K=hAPP_nat_int(semiri1621563631at_int,$f2(K)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f3(I_2,J_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_2))|hAPP_nat_nat(plus_plus_nat(I_2),$f3(I_2,J_2))=J_2.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(Xa),Na)!=one_one_nat|Xa=one_one_nat|Na=zero_zero_nat.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(Xa),Na)=one_one_nat|Xa!=one_one_nat.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(Xa),Na)=one_one_nat|Na!=zero_zero_nat.
% 5.71/5.70 0 [] hAPP_nat_real(power_power_real(X_14),zero_zero_nat)=one_one_real.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(X_14),zero_zero_nat)=one_one_nat.
% 5.71/5.70 0 [] hAPP_nat_int(power_power_int(X_14),zero_zero_nat)=one_one_int.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_24),A_24)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_24)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_24),A_24)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_24)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_24),A_24)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_24)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_24),A_24)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_24)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),zero_zero_real)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),zero_zero_real)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),zero_zero_int)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),zero_zero_int)).
% 5.71/5.70 0 [] zero_zero_real!=Xa|Xa=zero_zero_real.
% 5.71/5.70 0 [] zero_zero_real=Xa|Xa!=zero_zero_real.
% 5.71/5.70 0 [] zero_zero_nat!=Xa|Xa=zero_zero_nat.
% 5.71/5.70 0 [] zero_zero_nat=Xa|Xa!=zero_zero_nat.
% 5.71/5.70 0 [] zero_zero_int!=Xa|Xa=zero_zero_int.
% 5.71/5.70 0 [] zero_zero_int=Xa|Xa!=zero_zero_int.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(B_40),A_55)!=hAPP_real_real(plus_plus_real(C_30),A_55)|B_40=C_30.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(B_40),A_55)!=hAPP_nat_nat(plus_plus_nat(C_30),A_55)|B_40=C_30.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(B_40),A_55)!=hAPP_int_int(plus_plus_int(C_30),A_55)|B_40=C_30.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_54),B_39)!=hAPP_real_real(plus_plus_real(A_54),C_29)|B_39=C_29.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_54),B_39)!=hAPP_nat_nat(plus_plus_nat(A_54),C_29)|B_39=C_29.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_54),B_39)!=hAPP_int_int(plus_plus_int(A_54),C_29)|B_39=C_29.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_53),B_38)!=hAPP_real_real(plus_plus_real(A_53),C_28)|B_38=C_28.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_53),B_38)!=hAPP_nat_nat(plus_plus_nat(A_53),C_28)|B_38=C_28.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_53),B_38)!=hAPP_int_int(plus_plus_int(A_53),C_28)|B_38=C_28.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_52),B_37)),hAPP_real_real(plus_plus_real(C_27),D_6))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_52),C_27)),hAPP_real_real(plus_plus_real(B_37),D_6)).
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_52),B_37)),hAPP_nat_nat(plus_plus_nat(C_27),D_6))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_52),C_27)),hAPP_nat_nat(plus_plus_nat(B_37),D_6)).
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_52),B_37)),hAPP_int_int(plus_plus_int(C_27),D_6))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_52),C_27)),hAPP_int_int(plus_plus_int(B_37),D_6)).
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(B_21),A_24)!=hAPP_real_real(plus_plus_real(C_15),A_24)|B_21=C_15.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(B_21),A_24)=hAPP_real_real(plus_plus_real(C_15),A_24)|B_21!=C_15.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(B_21),A_24)!=hAPP_nat_nat(plus_plus_nat(C_15),A_24)|B_21=C_15.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(B_21),A_24)=hAPP_nat_nat(plus_plus_nat(C_15),A_24)|B_21!=C_15.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(B_21),A_24)!=hAPP_int_int(plus_plus_int(C_15),A_24)|B_21=C_15.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(B_21),A_24)=hAPP_int_int(plus_plus_int(C_15),A_24)|B_21!=C_15.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_24),B_21)!=hAPP_real_real(plus_plus_real(A_24),C_15)|B_21=C_15.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_24),B_21)=hAPP_real_real(plus_plus_real(A_24),C_15)|B_21!=C_15.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_24),B_21)!=hAPP_nat_nat(plus_plus_nat(A_24),C_15)|B_21=C_15.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_24),B_21)=hAPP_nat_nat(plus_plus_nat(A_24),C_15)|B_21!=C_15.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_24),B_21)!=hAPP_int_int(plus_plus_int(A_24),C_15)|B_21=C_15.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_24),B_21)=hAPP_int_int(plus_plus_int(A_24),C_15)|B_21!=C_15.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_51),B_36)),C_26)=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_51),C_26)),B_36).
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_51),B_36)),C_26)=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_51),C_26)),B_36).
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_51),B_36)),C_26)=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_51),C_26)),B_36).
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_50),B_35)),C_25)=hAPP_real_real(plus_plus_real(A_50),hAPP_real_real(plus_plus_real(B_35),C_25)).
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_50),B_35)),C_25)=hAPP_nat_nat(plus_plus_nat(A_50),hAPP_nat_nat(plus_plus_nat(B_35),C_25)).
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_50),B_35)),C_25)=hAPP_int_int(plus_plus_int(A_50),hAPP_int_int(plus_plus_int(B_35),C_25)).
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_49),B_34)),C_24)=hAPP_real_real(plus_plus_real(A_49),hAPP_real_real(plus_plus_real(B_34),C_24)).
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_49),B_34)),C_24)=hAPP_nat_nat(plus_plus_nat(A_49),hAPP_nat_nat(plus_plus_nat(B_34),C_24)).
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_49),B_34)),C_24)=hAPP_int_int(plus_plus_int(A_49),hAPP_int_int(plus_plus_int(B_34),C_24)).
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_48),hAPP_real_real(plus_plus_real(C_23),D_5))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A_48),C_23)),D_5).
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_48),hAPP_nat_nat(plus_plus_nat(C_23),D_5))=hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A_48),C_23)),D_5).
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_48),hAPP_int_int(plus_plus_int(C_23),D_5))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A_48),C_23)),D_5).
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_47),hAPP_real_real(plus_plus_real(C_22),D_4))=hAPP_real_real(plus_plus_real(C_22),hAPP_real_real(plus_plus_real(A_47),D_4)).
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_47),hAPP_nat_nat(plus_plus_nat(C_22),D_4))=hAPP_nat_nat(plus_plus_nat(C_22),hAPP_nat_nat(plus_plus_nat(A_47),D_4)).
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_47),hAPP_int_int(plus_plus_int(C_22),D_4))=hAPP_int_int(plus_plus_int(C_22),hAPP_int_int(plus_plus_int(A_47),D_4)).
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_46),C_21)=hAPP_real_real(plus_plus_real(C_21),A_46).
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_46),C_21)=hAPP_nat_nat(plus_plus_nat(C_21),A_46).
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_46),C_21)=hAPP_int_int(plus_plus_int(C_21),A_46).
% 5.71/5.70 0 [] one_one_real!=Xa|Xa=one_one_real.
% 5.71/5.70 0 [] one_one_real=Xa|Xa!=one_one_real.
% 5.71/5.70 0 [] one_one_nat!=Xa|Xa=one_one_nat.
% 5.71/5.70 0 [] one_one_nat=Xa|Xa!=one_one_nat.
% 5.71/5.70 0 [] one_one_int!=Xa|Xa=one_one_int.
% 5.71/5.70 0 [] one_one_int=Xa|Xa!=one_one_int.
% 5.71/5.70 0 [] B_21!=hAPP_real_real(plus_plus_real(B_21),A_24)|A_24=zero_zero_real.
% 5.71/5.70 0 [] B_21=hAPP_real_real(plus_plus_real(B_21),A_24)|A_24!=zero_zero_real.
% 5.71/5.70 0 [] B_21!=hAPP_nat_nat(plus_plus_nat(B_21),A_24)|A_24=zero_zero_nat.
% 5.71/5.70 0 [] B_21=hAPP_nat_nat(plus_plus_nat(B_21),A_24)|A_24!=zero_zero_nat.
% 5.71/5.70 0 [] B_21!=hAPP_int_int(plus_plus_int(B_21),A_24)|A_24=zero_zero_int.
% 5.71/5.70 0 [] B_21=hAPP_int_int(plus_plus_int(B_21),A_24)|A_24!=zero_zero_int.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_45),zero_zero_real)=A_45.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_45),zero_zero_nat)=A_45.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_45),zero_zero_int)=A_45.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_44),zero_zero_real)=A_44.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_44),zero_zero_nat)=A_44.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_44),zero_zero_int)=A_44.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(A_43),zero_zero_real)=A_43.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(A_43),zero_zero_nat)=A_43.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(A_43),zero_zero_int)=A_43.
% 5.71/5.70 0 [] zero_zero_real!=hAPP_real_real(plus_plus_real(A_24),A_24)|A_24=zero_zero_real.
% 5.71/5.70 0 [] zero_zero_real=hAPP_real_real(plus_plus_real(A_24),A_24)|A_24!=zero_zero_real.
% 5.71/5.70 0 [] zero_zero_int!=hAPP_int_int(plus_plus_int(A_24),A_24)|A_24=zero_zero_int.
% 5.71/5.70 0 [] zero_zero_int=hAPP_int_int(plus_plus_int(A_24),A_24)|A_24!=zero_zero_int.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(zero_zero_real),A_42)=A_42.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_42)=A_42.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(zero_zero_int),A_42)=A_42.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(zero_zero_real),A_41)=A_41.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_41)=A_41.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(zero_zero_int),A_41)=A_41.
% 5.71/5.70 0 [] hAPP_real_real(plus_plus_real(zero_zero_real),A_40)=A_40.
% 5.71/5.70 0 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A_40)=A_40.
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(zero_zero_int),A_40)=A_40.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_20),A_39)),hAPP_real_real(plus_plus_real(C_20),B_33)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_39),B_33)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_20),A_39)),hAPP_nat_nat(plus_plus_nat(C_20),B_33)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_39),B_33)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_20),A_39)),hAPP_int_int(plus_plus_int(C_20),B_33)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_39),B_33)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_38),C_19)),hAPP_real_real(plus_plus_real(B_32),C_19)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_38),B_32)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_38),C_19)),hAPP_nat_nat(plus_plus_nat(B_32),C_19)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_38),B_32)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_38),C_19)),hAPP_int_int(plus_plus_int(B_32),C_19)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_38),B_32)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_37),B_31))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_18),D_3))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_37),C_18)),hAPP_real_real(plus_plus_real(B_31),D_3))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_37),B_31))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_18),D_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_37),C_18)),hAPP_nat_nat(plus_plus_nat(B_31),D_3))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_37),B_31))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_18),D_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_37),C_18)),hAPP_int_int(plus_plus_int(B_31),D_3))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_36),B_30))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_17),A_36)),hAPP_real_real(plus_plus_real(C_17),B_30))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_36),B_30))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_17),A_36)),hAPP_nat_nat(plus_plus_nat(C_17),B_30))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_36),B_30))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_17),A_36)),hAPP_int_int(plus_plus_int(C_17),B_30))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_35),B_29))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_35),C_16)),hAPP_real_real(plus_plus_real(B_29),C_16))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_35),B_29))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_35),C_16)),hAPP_nat_nat(plus_plus_nat(B_29),C_16))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_35),B_29))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_35),C_16)),hAPP_int_int(plus_plus_int(B_29),C_16))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_15),A_24)),hAPP_real_real(plus_plus_real(C_15),B_21)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C_15),A_24)),hAPP_real_real(plus_plus_real(C_15),B_21)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_15),A_24)),hAPP_nat_nat(plus_plus_nat(C_15),B_21)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C_15),A_24)),hAPP_nat_nat(plus_plus_nat(C_15),B_21)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_15),A_24)),hAPP_int_int(plus_plus_int(C_15),B_21)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C_15),A_24)),hAPP_int_int(plus_plus_int(C_15),B_21)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),C_15)),hAPP_real_real(plus_plus_real(B_21),C_15)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_24),C_15)),hAPP_real_real(plus_plus_real(B_21),C_15)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_24),C_15)),hAPP_nat_nat(plus_plus_nat(B_21),C_15)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_24),C_15)),hAPP_nat_nat(plus_plus_nat(B_21),C_15)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),C_15)),hAPP_int_int(plus_plus_int(B_21),C_15)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_24),C_15)),hAPP_int_int(plus_plus_int(B_21),C_15)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_24),B_21)).
% 5.71/5.70 0 [] hAPP_nat_real(power_power_real(X_13),one_one_nat)=X_13.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(X_13),one_one_nat)=X_13.
% 5.71/5.70 0 [] hAPP_nat_int(power_power_int(X_13),one_one_nat)=X_13.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(Ma),Na)!=zero_zero_nat|Na!=zero_zero_nat.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(Ma),Na)!=zero_zero_nat|Ma=zero_zero_nat.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(Ma),Na)=zero_zero_nat|Na=zero_zero_nat|Ma!=zero_zero_nat.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_34),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_28),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_34),B_28)),zero_zero_real)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_34),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_28),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_34),B_28)),zero_zero_nat)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_34),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_28),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_34),B_28)),zero_zero_int)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_33))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_27))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_33),B_27))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_33))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_27))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_33),B_27))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_33))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_27))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_33),B_27))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f4(A,N_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hAPP_nat_real(power_power_real($f4(A,N_1)),N_1)=A.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_11))|hAPP_nat_real(power_power_real(Y_11),N_1)!=A|Y_11=$f4(A,N_1).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f5(A,N_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hAPP_nat_real(power_power_real($f5(A,N_1)),N_1)=A.
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),t)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),one_one_nat)=one_one_nat.
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_6)),one_one_nat)=number_number_of_nat(succ(V_6)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))|hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_6))=one_one_nat.
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_6),pls))|hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_6))=number_number_of_nat(succ(V_6)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_24),C_15)),hAPP_real_real(plus_plus_real(B_21),C_15)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_24),C_15)),hAPP_real_real(plus_plus_real(B_21),C_15)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_24),C_15)),hAPP_nat_nat(plus_plus_nat(B_21),C_15)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_24),C_15)),hAPP_nat_nat(plus_plus_nat(B_21),C_15)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_24),C_15)),hAPP_int_int(plus_plus_int(B_21),C_15)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_24),C_15)),hAPP_int_int(plus_plus_int(B_21),C_15)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_15),A_24)),hAPP_real_real(plus_plus_real(C_15),B_21)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_15),A_24)),hAPP_real_real(plus_plus_real(C_15),B_21)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_15),A_24)),hAPP_nat_nat(plus_plus_nat(C_15),B_21)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_15),A_24)),hAPP_nat_nat(plus_plus_nat(C_15),B_21)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_15),A_24)),hAPP_int_int(plus_plus_int(C_15),B_21)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),B_21)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_15),A_24)),hAPP_int_int(plus_plus_int(C_15),B_21)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),B_21)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_32),B_26))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_32),C_14)),hAPP_real_real(plus_plus_real(B_26),C_14))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_32),B_26))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_32),C_14)),hAPP_nat_nat(plus_plus_nat(B_26),C_14))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_32),B_26))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_32),C_14)),hAPP_int_int(plus_plus_int(B_26),C_14))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_31),B_25))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_13),A_31)),hAPP_real_real(plus_plus_real(C_13),B_25))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_31),B_25))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_13),A_31)),hAPP_nat_nat(plus_plus_nat(C_13),B_25))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_31),B_25))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_13),A_31)),hAPP_int_int(plus_plus_int(C_13),B_25))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_30),B_24))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_12),D_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_30),C_12)),hAPP_real_real(plus_plus_real(B_24),D_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_30),B_24))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_12),D_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_30),C_12)),hAPP_nat_nat(plus_plus_nat(B_24),D_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_30),B_24))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_12),D_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_30),C_12)),hAPP_int_int(plus_plus_int(B_24),D_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_29),C_11)),hAPP_real_real(plus_plus_real(B_23),C_11)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_29),B_23)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_29),C_11)),hAPP_nat_nat(plus_plus_nat(B_23),C_11)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_29),B_23)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_29),C_11)),hAPP_int_int(plus_plus_int(B_23),C_11)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_29),B_23)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C_10),A_28)),hAPP_real_real(plus_plus_real(C_10),B_22)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_28),B_22)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C_10),A_28)),hAPP_nat_nat(plus_plus_nat(C_10),B_22)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_28),B_22)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C_10),A_28)),hAPP_int_int(plus_plus_int(C_10),B_22)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_28),B_22)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_13),N_12))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_27))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_27),N_13)),hAPP_nat_real(power_power_real(A_27),N_12))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_13),N_12))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_27))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_27),N_13)),hAPP_nat_nat(power_power_nat(A_27),N_12))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_13),N_12))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_27))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_27),N_13)),hAPP_nat_int(power_power_int(A_27),N_12))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),bit1(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),bit1(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit0(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit0(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),bit0(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),bit0(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z_2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_2),K))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z_2))|Z_2=W.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),Wa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_3),Wa)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),Wa))|Z_3!=Wa.
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_3),Wa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_3),Wa))|Z_3=Wa.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(K),I_2)),hAPP_int_int(plus_plus_int(K),J_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K_2)),number_number_of_int(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(K_2)),number_number_of_int(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_11),N_10))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_26))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_26),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_26),N_10)),hAPP_nat_real(power_power_real(A_26),N_11))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_11),N_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_26))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_26),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_26),N_10)),hAPP_nat_nat(power_power_nat(A_26),N_11))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_11),N_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_26))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_26),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_26),N_10)),hAPP_nat_int(power_power_int(A_26),N_11))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_21))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(B_21),Xa)),hAPP_nat_real(power_power_real(B_21),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_21))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(B_21),Xa)),hAPP_nat_real(power_power_real(B_21),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_21))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(B_21),Xa)),hAPP_nat_nat(power_power_nat(B_21),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_21))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(B_21),Xa)),hAPP_nat_nat(power_power_nat(B_21),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_21))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(B_21),Xa)),hAPP_nat_int(power_power_int(B_21),Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_21))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(B_21),Xa)),hAPP_nat_int(power_power_int(B_21),Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_25))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_25),M_3)),hAPP_nat_real(power_power_real(A_25),N_9)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),N_9)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_25))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_25),M_3)),hAPP_nat_nat(power_power_nat(A_25),N_9)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),N_9)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_25))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_25),M_3)),hAPP_nat_int(power_power_int(A_25),N_9)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),N_9)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(Ya)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(Ya)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),one_one_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls))).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Xa)),one_one_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Xa)),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),bit1(pls))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_24),A_24)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_24)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_24),A_24)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_24)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_24),A_24)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_24)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_24),A_24)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_24)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),zero_zero_real)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_24),A_24)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_24),zero_zero_real)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),zero_zero_int)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_24),A_24)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_24),zero_zero_int)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_23))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_20))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_23),B_20))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_23))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_20))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_23),B_20))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_23))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_20))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_23),B_20))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ya))|hAPP_real_real(plus_plus_real(Xa),Ya)!=zero_zero_real|Xa=zero_zero_real.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ya))|hAPP_real_real(plus_plus_real(Xa),Ya)!=zero_zero_real|Ya=zero_zero_real.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ya))|hAPP_real_real(plus_plus_real(Xa),Ya)=zero_zero_real|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Xa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Ya))|hAPP_nat_nat(plus_plus_nat(Xa),Ya)!=zero_zero_nat|Xa=zero_zero_nat.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Xa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Ya))|hAPP_nat_nat(plus_plus_nat(Xa),Ya)!=zero_zero_nat|Ya=zero_zero_nat.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Xa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Ya))|hAPP_nat_nat(plus_plus_nat(Xa),Ya)=zero_zero_nat|Xa!=zero_zero_nat|Ya!=zero_zero_nat.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))|hAPP_int_int(plus_plus_int(Xa),Ya)!=zero_zero_int|Xa=zero_zero_int.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))|hAPP_int_int(plus_plus_int(Xa),Ya)!=zero_zero_int|Ya=zero_zero_int.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))|hAPP_int_int(plus_plus_int(Xa),Ya)=zero_zero_int|Xa!=zero_zero_int|Ya!=zero_zero_int.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_22))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_19),C_9))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_19),hAPP_real_real(plus_plus_real(A_22),C_9))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_22))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_19),C_9))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_19),hAPP_nat_nat(plus_plus_nat(A_22),C_9))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_22))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_19),C_9))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_19),hAPP_int_int(plus_plus_int(A_22),C_9))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_8))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_18),A_21))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_18),hAPP_real_real(plus_plus_real(A_21),C_8))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_8))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_18),A_21))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_18),hAPP_nat_nat(plus_plus_nat(A_21),C_8))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_8))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_18),A_21))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_18),hAPP_int_int(plus_plus_int(A_21),C_8))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_20),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_17),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A_20),B_17)),zero_zero_real)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_20),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_17),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A_20),B_17)),zero_zero_nat)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_20),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_17),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A_20),B_17)),zero_zero_int)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_19),B_16))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_7),D_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_19),C_7)),hAPP_real_real(plus_plus_real(B_16),D_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_19),B_16))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_7),D_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_19),C_7)),hAPP_nat_nat(plus_plus_nat(B_16),D_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_19),B_16))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_7),D_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_19),C_7)),hAPP_int_int(plus_plus_int(B_16),D_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_18),B_15))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_6),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_18),C_6)),hAPP_real_real(plus_plus_real(B_15),D))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_18),B_15))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_6),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_18),C_6)),hAPP_nat_nat(plus_plus_nat(B_15),D))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_18),B_15))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_6),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_18),C_6)),hAPP_int_int(plus_plus_int(B_15),D))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),zero_zero_real)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),one_one_real)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Va)),number267125858f_real(Wa)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Wa)),number267125858f_real(Va))).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(Va)),number267125858f_real(Wa)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(Wa)),number267125858f_real(Va))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(Wa)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Wa)),number_number_of_nat(Va))).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(Wa)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(Wa)),number_number_of_nat(Va))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Va)),number_number_of_int(Wa)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Wa)),number_number_of_int(Va))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(Va)),number_number_of_int(Wa)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(Wa)),number_number_of_int(Va))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_17))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(power_power_real(A_17),N_8))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_17))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A_17),N_8))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_17))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(A_17),N_8))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_16),B_14))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_16))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A_16),N_7)),hAPP_nat_real(power_power_real(B_14),N_7))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_16),B_14))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_16))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A_16),N_7)),hAPP_nat_nat(power_power_nat(B_14),N_7))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_16),B_14))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_16))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A_16),N_7)),hAPP_nat_int(power_power_int(B_14),N_7))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_15))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(power_power_real(A_15),N_6))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_15))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A_15),N_6))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_15))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_nat_int(power_power_int(A_15),N_6))).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,M_2))).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,M_2))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,M_2))).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,N_5))).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,N_5))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_5))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(K_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),bit1(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),bit1(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(K_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(K_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),pls)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(K_2)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),pls)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(X),Y))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),W))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_4),Z_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(W_1),Z_4)),hAPP_int_int(plus_plus_int(W),Z_2))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_12))| -hBOOL(hAPP_int_bool(P_1,X_12))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f6(P_1)))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f7(P_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X1))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(P_1,$f7(P_1)))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X1))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f8(P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_12))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(P_1,$f8(P_1)))|hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_12))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X2))|hBOOL(hAPP_int_bool(P_1,X2))| -hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,$f9(P_1)))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(X),N_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_3))|Z_3=hAPP_int_int(plus_plus_int(Wa),hAPP_nat_int(semiri1621563631at_int,$f10(Wa,Z_3))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_3))|Z_3!=hAPP_int_int(plus_plus_int(Wa),hAPP_nat_int(semiri1621563631at_int,N)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_5))|hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(V_5))=number267125858f_real(succ(V_5)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_5))|hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(V_5))=number_number_of_nat(succ(V_5)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_5))|hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(V_5))=number_number_of_int(succ(V_5)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_4))|hAPP_real_real(plus_plus_real(number267125858f_real(V_4)),one_one_real)=number267125858f_real(succ(V_4)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_4))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_4)),one_one_nat)=number_number_of_nat(succ(V_4)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_4))|hAPP_int_int(plus_plus_int(number_number_of_int(V_4)),one_one_int)=number_number_of_int(succ(V_4)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_14))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_13))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_14),B_13))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_14))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_13))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_14),B_13))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_14))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_13))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_14),B_13))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_13))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A_13),B_12))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_13))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A_13),B_12))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_13))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A_13),B_12))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_12))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_11),C_5))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_11),hAPP_real_real(plus_plus_real(A_12),C_5))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_12))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_11),C_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_11),hAPP_nat_nat(plus_plus_nat(A_12),C_5))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_12))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_11),C_5))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_11),hAPP_int_int(plus_plus_int(A_12),C_5))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_11))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_10),C_4))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_10),hAPP_real_real(plus_plus_real(A_11),C_4))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_11))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_10),C_4))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_10),hAPP_nat_nat(plus_plus_nat(A_11),C_4))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_11))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),C_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),hAPP_int_int(plus_plus_int(A_11),C_4))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_10),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_9),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_10),B_9)),zero_zero_real)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_10),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_9),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_10),B_9)),zero_zero_nat)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_10),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_9),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_10),B_9)),zero_zero_int)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_9),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_8),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A_9),B_8)),zero_zero_real)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_8),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A_9),B_8)),zero_zero_nat)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_8),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A_9),B_8)),zero_zero_int)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_8),N_4)),hAPP_nat_real(power_power_real(B_7),N_4)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_7))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_8),B_7)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_8),N_4)),hAPP_nat_nat(power_power_nat(B_7),N_4)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_7))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_8),B_7)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_8),N_4)),hAPP_nat_int(power_power_int(B_7),N_4)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_7))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_8),B_7)).
% 5.71/5.70 0 [] zero_zero_nat!=number_number_of_nat(Va)|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 5.71/5.70 0 [] zero_zero_nat=number_number_of_nat(Va)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 5.71/5.70 0 [] number_number_of_nat(Va)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 5.71/5.70 0 [] number_number_of_nat(Va)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(K_2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),pls)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),bit1(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K_2)),bit1(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),L_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(K1)),bit1(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),bit0(L_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K_2)),bit0(L_1)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),L_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit0(K2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(K1)),bit0(K2)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_3)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_3)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))|Na=zero_zero_nat.
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))|Na!=zero_zero_nat.
% 5.71/5.70 0 [] succ(pls)=bit1(pls).
% 5.71/5.70 0 [] succ(bit0(K))=bit1(K).
% 5.71/5.70 0 [] succ(bit1(K))=bit0(succ(K)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_3)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_int_int(plus_plus_int(Z_3),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_3)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Wa),one_one_int)),Z_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_3)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(Wa),one_one_int)),Z_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_3)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(W),one_one_int)),Z_2)).
% 5.71/5.70 0 [] succ(K)=hAPP_int_int(plus_plus_int(K),one_one_int).
% 5.71/5.70 0 [] hAPP_nat_real(power_power_real(A_7),N_3)!=hAPP_nat_real(power_power_real(B_6),N_3)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_7))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3))|A_7=B_6.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(A_7),N_3)!=hAPP_nat_nat(power_power_nat(B_6),N_3)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_7))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3))|A_7=B_6.
% 5.71/5.70 0 [] hAPP_nat_int(power_power_int(A_7),N_3)!=hAPP_nat_int(power_power_int(B_6),N_3)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_7))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_3))|A_7=B_6.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_3))|hAPP_real_real(plus_plus_real(number267125858f_real(V_2)),number267125858f_real(V_3))=number267125858f_real(hAPP_int_int(plus_plus_int(V_2),V_3)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_3))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(V_2)),number_number_of_nat(V_3))=number_number_of_nat(hAPP_int_int(plus_plus_int(V_2),V_3)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_3))|hAPP_int_int(plus_plus_int(number_number_of_int(V_2)),number_number_of_int(V_3))=number_number_of_int(hAPP_int_int(plus_plus_int(V_2),V_3)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(bit1(pls))))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),Z_2))).
% 5.71/5.70 0 [] number267125858f_real(succ(K_3))=hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(K_3)).
% 5.71/5.70 0 [] number_number_of_int(succ(K_3))=hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(K_3)).
% 5.71/5.70 0 [] hAPP_int_int(plus_plus_int(bit1(K)),bit1(L))=bit0(hAPP_int_int(plus_plus_int(K),succ(L))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_6),B_5))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A_6),N_2)),hAPP_nat_real(power_power_real(B_5),N_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),B_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A_6),N_2)),hAPP_nat_nat(power_power_nat(B_5),N_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_6),B_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_6))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A_6),N_2)),hAPP_nat_int(power_power_int(B_5),N_2))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(bit1(pls))))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X),hAPP_nat_int(power_power_int(X),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(power_power_real(A_5),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(A_5),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_10),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_10))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_11),Y_10)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_10),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_10))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_11),Y_10)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(X_11),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_10),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_10))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_11),Y_10)).
% 5.71/5.70 0 [] hAPP_nat_real(power_power_real(X_10),number_number_of_nat(bit0(bit1(pls))))!=hAPP_nat_real(power_power_real(Y_9),number_number_of_nat(bit0(bit1(pls))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_10))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_9))|X_10=Y_9.
% 5.71/5.70 0 [] hAPP_nat_nat(power_power_nat(X_10),number_number_of_nat(bit0(bit1(pls))))!=hAPP_nat_nat(power_power_nat(Y_9),number_number_of_nat(bit0(bit1(pls))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_10))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_9))|X_10=Y_9.
% 5.71/5.70 0 [] hAPP_nat_int(power_power_int(X_10),number_number_of_nat(bit0(bit1(pls))))!=hAPP_nat_int(power_power_int(Y_9),number_number_of_nat(bit0(bit1(pls))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_10))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_9))|X_10=Y_9.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(V_1)))|hAPP_nat_real(semiri132038758t_real,number_number_of_nat(V_1))=number267125858f_real(V_1).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(V_1)))|hAPP_nat_real(semiri132038758t_real,number_number_of_nat(V_1))=zero_zero_real.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(V_1)))|hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V_1))=number_number_of_int(V_1).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(V_1)))|hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(V_1))=zero_zero_int.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_8),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_8))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_9),Y_8)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(Y_8),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_8))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_9),Y_8)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(X_9),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_8),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_8))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_9),Y_8)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X_8),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y_7),number_number_of_nat(bit0(bit1(pls))))))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X_8),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Y_7),number_number_of_nat(bit0(bit1(pls))))))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))|Xa=zero_zero_real.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))|Ya=zero_zero_real.
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))|Xa!=zero_zero_real|Ya!=zero_zero_real.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))|Xa=zero_zero_int.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))|Ya=zero_zero_int.
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))|Xa!=zero_zero_int|Ya!=zero_zero_int.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),number_number_of_int(bit0(bit1(pls)))))|X=zero_zero_int|X=one_one_int.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(N_1)))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(N_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(N_1)))).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(pls))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))|K=hAPP_nat_int(semiri1621563631at_int,$f11(K)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))|K=hAPP_nat_int(semiri1621563631at_int,$f12(K)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))|Na=zero_zero_nat.
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))|Na!=zero_zero_nat.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.71/5.70 0 [] M_1!=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|M_1=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma=Na.
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Ma!=Na.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma!=Na.
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Ma=Na.
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1)).
% 5.71/5.70 0 [] M_1!=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),K))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M_1))|M_1=N_1.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|Xa=Ya.
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|Xa!=Ya.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|Xa!=Ya.
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|Xa=Ya.
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(plus_plus_nat(M_1),N_1))).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(plus_plus_nat(N_1),M_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Na=hAPP_nat_nat(plus_plus_nat(Ma),$f13(Ma,Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Na!=hAPP_nat_nat(plus_plus_nat(Ma),K_1).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_2),Ma)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(K_2),Ma)),hAPP_nat_nat(plus_plus_nat(K_2),Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),hAPP_nat_nat(plus_plus_nat(J_2),M_1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),hAPP_nat_nat(plus_plus_nat(M_1),J_2))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),K))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),J_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(I_2),K)),hAPP_nat_nat(plus_plus_nat(J_2),L))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(M_1),K)),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(Z_2),X)),hAPP_real_real(plus_plus_real(Z_2),Y))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(V)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),V))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(V)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),V)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(Va)),number_number_of_nat(V)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),N_1))).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f14(Na,P_1)),Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),$f14(Na,P_1)))| -hBOOL(hAPP_nat_bool(P_1,I_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))|hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(plus_plus_nat($f14(Na,P_1)),one_one_nat))).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))|Z_2=hAPP_nat_int(semiri1621563631at_int,$f15(Z_2)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f17(Ma,K_2,F)),$f16(Ma,K_2,F)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,Ma)),K_2)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(Ma),K_2)))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f17(Ma,K_2,F))),hAPP_nat_nat(F,$f16(Ma,K_2,F))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(F,Ma)),K_2)),hAPP_nat_nat(F,hAPP_nat_nat(plus_plus_nat(Ma),K_2)))).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),W)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_2),W))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z_2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I_2),J_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,J_2),K))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I_2),K)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_2),W))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z_2))|Z_2=W.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),I))| -hBOOL(hAPP_int_bool(P_1,K_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),$f18(P_1,K_2,I)))|hBOOL(hAPP_int_bool(P_1,I)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),I))| -hBOOL(hAPP_int_bool(P_1,K_2))|hBOOL(hAPP_int_bool(P_1,$f18(P_1,K_2,I)))|hBOOL(hAPP_int_bool(P_1,I)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_2),I))| -hBOOL(hAPP_int_bool(P_1,K_2))| -hBOOL(hAPP_int_bool(P_1,hAPP_int_int(plus_plus_int($f18(P_1,K_2,I)),one_one_int)))|hBOOL(hAPP_int_bool(P_1,I)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f19(Na,P_1)),Na)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),$f19(Na,P_1)))| -hBOOL(hAPP_nat_bool(P_1,I_1)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| -hBOOL(hAPP_nat_bool(P_1,Na))|hBOOL(hAPP_nat_bool(P_1,$f19(Na,P_1))).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f21(I,J,F)),$f20(I,J,F)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I)),hAPP_nat_nat(F,J))).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,$f21(I,J,F))),hAPP_nat_nat(F,$f20(I,J,F))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I)),hAPP_nat_nat(F,J))).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_7),X_7)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_7),X_7)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_7),X_7)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_6),Y_6))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_6),X_6)).
% 5.71/5.70 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_6),Y_6))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_6),X_6)).
% 5.71/5.70 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_6),Y_6))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_6),X_6)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_5),X_5))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),Y_5))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),X_5)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_5),X_5))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_1),Y_5))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_1),X_5)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_5),X_5))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),Y_5))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),X_5)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_4),X_4))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_4),Y_4))|X_4=Y_4.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_4),X_4))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_4),Y_4))|X_4=Y_4.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_4),X_4))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_4),Y_4))|X_4=Y_4.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_3),Y_3))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_3),Z))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_3),Z)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Y_3))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_3),Z))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_3),Z)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_3),Y_3))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_3),Z))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_3),Z)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_2))|X_2=Y_2.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_2))|X_2=Y_2.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),Y_2))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),X_2))|X_2=Y_2.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),A_4))|B_4!=C_3|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_3),A_4)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_4),A_4))|B_4!=C_3|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_3),A_4)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),A_4))|B_4!=C_3|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_3),A_4)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_3),B_3))|B_3!=C_2|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_3),C_2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_3),B_3))|B_3!=C_2|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_3),C_2)).
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),B_3))|B_3!=C_2|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),C_2)).
% 5.71/5.70 0 [] A_2!=B_2| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),B_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),A_2)).
% 5.71/5.70 0 [] A_2!=B_2| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_1),B_2))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_1),A_2)).
% 5.71/5.70 0 [] A_2!=B_2| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_1),A_2)).
% 5.71/5.70 0 [] A_1!=B_1| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_1),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),C)).
% 5.71/5.70 0 [] A_1!=B_1| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_1),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),C)).
% 5.71/5.70 0 [] A_1!=B_1| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),C)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|Xa=Ya.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))|Xa!=Ya.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))|Xa=Ya.
% 5.71/5.70 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))|Xa!=Ya.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),Xa))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))|Xa=Ya.
% 5.71/5.70 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),Xa))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))|Xa!=Ya.
% 5.71/5.70 0 [] X_1!=Y_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),Y_1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f22(D2,D1))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f22(D2,D1)),D1)).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D1))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f22(D2,D1)),D2)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),sqrt(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(X),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(Y),number_number_of_nat(bit0(bit1(pls)))))))).
% 5.71/5.70 0 [] hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(bit1(pls))))=hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),times_times_int(times_times_int(number_number_of_int(bit0(bit1(pls))),A),B))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))).
% 5.71/5.70 0 [] times_times_int(bit1(K),L)=hAPP_int_int(plus_plus_int(bit0(times_times_int(K,L))),L).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(X))).
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))|sqrt(X)!=zero_zero_real.
% 5.71/5.70 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(Xa)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real)).
% 5.71/5.70 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(Xa)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real)).
% 5.71/5.71 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(Ya)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya)).
% 5.71/5.71 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(Ya)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya)).
% 5.71/5.71 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(Xa)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real)).
% 5.71/5.71 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(Xa)),one_one_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real)).
% 5.71/5.71 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),sqrt(Ya)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Ya)).
% 5.71/5.71 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),sqrt(Ya)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Ya)).
% 5.71/5.71 0 [] hAPP_nat_nat(if_nat(fTrue,X),Y)=X.
% 5.71/5.71 0 [] hAPP_nat_nat(if_nat(fFalse,X),Y)=Y.
% 5.71/5.71 0 [] -is_bool(P)|P=fTrue|P=fFalse.
% 5.71/5.71 0 [] hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int.
% 5.71/5.71 end_of_list.
% 5.71/5.71
% 5.71/5.71 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 5.71/5.71
% 5.71/5.71 This ia a non-Horn set with equality. The strategy will be
% 5.71/5.71 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 5.71/5.71 deletion, with positive clauses in sos and nonpositive
% 5.71/5.71 clauses in usable.
% 5.71/5.71
% 5.71/5.71 dependent: set(knuth_bendix).
% 5.71/5.71 dependent: set(anl_eq).
% 5.71/5.71 dependent: set(para_from).
% 5.71/5.71 dependent: set(para_into).
% 5.71/5.71 dependent: clear(para_from_right).
% 5.71/5.71 dependent: clear(para_into_right).
% 5.71/5.71 dependent: set(para_from_vars).
% 5.71/5.71 dependent: set(eq_units_both_ways).
% 5.71/5.71 dependent: set(dynamic_demod_all).
% 5.71/5.71 dependent: set(dynamic_demod).
% 5.71/5.71 dependent: set(order_eq).
% 5.71/5.71 dependent: set(back_demod).
% 5.71/5.71 dependent: set(lrpo).
% 5.71/5.71 dependent: set(hyper_res).
% 5.71/5.71 dependent: set(unit_deletion).
% 5.71/5.71 dependent: set(factor).
% 5.71/5.71
% 5.71/5.71 ------------> process usable:
% 5.71/5.71 ** KEPT (pick-wt=21): 1 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|A=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=21): 2 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_int|B=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=24): 3 [] hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|A!=zero_zero_int|B!=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=21): 4 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|A=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=21): 5 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|B=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=24): 6 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=12): 7 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_int|A=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=12): 8 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int|A!=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=12): 9 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))!=zero_zero_real|A=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=12): 10 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real|A!=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=11): 11 [] number_number_of_nat(A)!=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(A))=one_one_int.
% 5.71/5.71 ** KEPT (pick-wt=11): 12 [] number_number_of_nat(A)!=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(A))=one_one_nat.
% 5.71/5.71 ** KEPT (pick-wt=11): 13 [] number_number_of_nat(A)!=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(A))=one_one_real.
% 5.71/5.71 ** KEPT (pick-wt=14): 14 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=14): 15 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 Following clause subsumed by 14 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 Following clause subsumed by 15 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=14): 16 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),number267125858f_real(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=14): 17 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),number267125858f_real(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=8): 18 [] hAPP_nat_int(semiri1621563631at_int,A)!=zero_zero_int|A=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=8): 19 [] hAPP_nat_int(semiri1621563631at_int,A)=zero_zero_int|A!=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=14): 20 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=14): 21 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 Following clause subsumed by 20 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 Following clause subsumed by 21 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=6): 22 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 5.71/5.71 ** KEPT (pick-wt=14): 23 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=14): 24 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 Following clause subsumed by 23 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 Following clause subsumed by 24 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=18): 25 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 5.71/5.71 ** KEPT (pick-wt=15): 26 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(A)),number_number_of_nat(B))=number_number_of_nat(B).
% 5.71/5.71 ** KEPT (pick-wt=21): 27 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(A)),number_number_of_nat(B))=number_number_of_nat(A).
% 5.71/5.71 ** KEPT (pick-wt=8): 28 [] number_number_of_int(A)!=number_number_of_int(B)|A=B.
% 5.71/5.71 ** KEPT (pick-wt=8): 29 [] number_number_of_int(A)=number_number_of_int(B)|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=8): 30 [] number267125858f_real(A)!=number267125858f_real(B)|A=B.
% 5.71/5.71 ** KEPT (pick-wt=8): 31 [] number267125858f_real(A)=number267125858f_real(B)|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=8): 32 [] number_number_of_nat(A)!=B|B=number_number_of_nat(A).
% 5.71/5.71 ** KEPT (pick-wt=8): 33 [] number_number_of_nat(A)=B|B!=number_number_of_nat(A).
% 5.71/5.71 ** KEPT (pick-wt=8): 34 [] number_number_of_int(A)!=B|B=number_number_of_int(A).
% 5.71/5.71 ** KEPT (pick-wt=8): 35 [] number_number_of_int(A)=B|B!=number_number_of_int(A).
% 5.71/5.71 ** KEPT (pick-wt=8): 36 [] number267125858f_real(A)!=B|B=number267125858f_real(A).
% 5.71/5.71 ** KEPT (pick-wt=8): 37 [] number267125858f_real(A)=B|B!=number267125858f_real(A).
% 5.71/5.71 ** KEPT (pick-wt=8): 38 [] bit1(A)!=bit1(B)|A=B.
% 5.71/5.71 ** KEPT (pick-wt=8): 39 [] bit1(A)=bit1(B)|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=8): 40 [] bit0(A)!=bit0(B)|A=B.
% 5.71/5.71 ** KEPT (pick-wt=8): 41 [] bit0(A)=bit0(B)|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=15): 42 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=15): 43 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=15): 44 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 5.71/5.71 ** KEPT (pick-wt=15): 45 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 5.71/5.71 ** KEPT (pick-wt=10): 46 [] hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 5.71/5.71 ** KEPT (pick-wt=10): 47 [] hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=13): 48 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.71 ** KEPT (pick-wt=13): 49 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.71 ** KEPT (pick-wt=13): 50 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.71 ** KEPT (pick-wt=13): 51 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.71 ** KEPT (pick-wt=13): 52 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 5.71/5.71 ** KEPT (pick-wt=13): 53 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),number_number_of_int(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 5.71/5.71 ** KEPT (pick-wt=13): 54 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 5.71/5.71 ** KEPT (pick-wt=13): 55 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 5.71/5.71 ** KEPT (pick-wt=13): 56 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.71 ** KEPT (pick-wt=13): 57 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.71 ** KEPT (pick-wt=14): 58 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=14): 59 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 Following clause subsumed by 58 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 Following clause subsumed by 59 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=13): 60 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.71 ** KEPT (pick-wt=13): 61 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.71 ** KEPT (pick-wt=13): 62 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 5.71/5.71 ** KEPT (pick-wt=13): 63 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 5.71/5.71 ** KEPT (pick-wt=13): 64 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=13): 65 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=6): 66 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=13): 67 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=13): 68 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=18): 69 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B.
% 5.71/5.71 ** KEPT (pick-wt=15): 70 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=12): 71 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=8): 72 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=14): 73 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),bit1(pls))).
% 5.71/5.71 ** KEPT (pick-wt=14): 74 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(A)),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),bit1(pls))).
% 5.71/5.71 ** KEPT (pick-wt=14): 75 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),one_one_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),bit1(pls))).
% 5.71/5.71 ** KEPT (pick-wt=14): 76 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(A)),one_one_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),bit1(pls))).
% 5.71/5.71 ** KEPT (pick-wt=14): 77 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),A)).
% 5.71/5.71 ** KEPT (pick-wt=14): 78 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),number_number_of_int(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),A)).
% 5.71/5.71 ** KEPT (pick-wt=14): 79 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),A)).
% 5.71/5.71 ** KEPT (pick-wt=14): 80 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),number267125858f_real(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit1(pls)),A)).
% 5.71/5.71 ** KEPT (pick-wt=18): 81 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),A)),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=18): 82 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),A)),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=9): 83 [] hAPP_int_int(plus_plus_int(A),A)!=zero_zero_int|A=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=9): 84 [] hAPP_int_int(plus_plus_int(A),A)=zero_zero_int|A!=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=9): 85 [] hAPP_real_real(plus_plus_real(A),A)!=zero_zero_real|A=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=9): 86 [] hAPP_real_real(plus_plus_real(A),A)=zero_zero_real|A!=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=4): 87 [] bit1(A)!=pls.
% 5.71/5.71 Following clause subsumed by 87 during input processing: 0 [flip.1] bit1(A)!=pls.
% 5.71/5.71 ** KEPT (pick-wt=5): 88 [] bit1(A)!=bit0(B).
% 5.71/5.71 ** KEPT (pick-wt=5): 89 [] bit0(A)!=bit1(B).
% 5.71/5.71 ** KEPT (pick-wt=7): 90 [] bit0(A)!=pls|A=pls.
% 5.71/5.71 ** KEPT (pick-wt=7): 91 [] bit0(A)=pls|A!=pls.
% 5.71/5.71 ** KEPT (pick-wt=7): 93 [copy,92,flip.1] bit0(A)!=pls|pls=A.
% 5.71/5.71 ** KEPT (pick-wt=7): 95 [copy,94,flip.1] bit0(A)=pls|pls!=A.
% 5.71/5.71 ** KEPT (pick-wt=3): 96 [] zero_zero_int!=one_one_int.
% 5.71/5.71 ** KEPT (pick-wt=10): 97 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(B))!=zero_zero_int|A=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=11): 98 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(B))!=zero_zero_int|number_number_of_nat(B)!=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=14): 99 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(B))=zero_zero_int|A!=zero_zero_int|number_number_of_nat(B)=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=10): 100 [] hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))!=zero_zero_nat|A=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=11): 101 [] hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))!=zero_zero_nat|number_number_of_nat(B)!=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=14): 102 [] hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))=zero_zero_nat|A!=zero_zero_nat|number_number_of_nat(B)=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=10): 103 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(B))!=zero_zero_real|A=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=11): 104 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(B))!=zero_zero_real|number_number_of_nat(B)!=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=14): 105 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(B))=zero_zero_real|A!=zero_zero_real|number_number_of_nat(B)=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=9): 106 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),A)),A)!=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=15): 107 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))))|A!=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=15): 108 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))))|A!=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=12): 109 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=12): 110 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),zero_zero_real)).
% 5.71/5.71 ** KEPT (pick-wt=27): 111 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))))|A!=zero_zero_int|B!=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=27): 112 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))))|A!=zero_zero_real|B!=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=21): 113 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=21): 114 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real)).
% 5.71/5.71 Following clause subsumed by 4 during input processing: 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|A=zero_zero_real.
% 5.71/5.71 Following clause subsumed by 5 during input processing: 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))!=zero_zero_real|B=zero_zero_real.
% 5.71/5.71 Following clause subsumed by 6 during input processing: 0 [] hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=14): 115 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 ** KEPT (pick-wt=14): 116 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 ** KEPT (pick-wt=14): 117 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 ** KEPT (pick-wt=14): 118 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 ** KEPT (pick-wt=14): 119 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 ** KEPT (pick-wt=14): 120 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 ** KEPT (pick-wt=21): 121 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(power_power_int(A),B))).
% 5.71/5.71 ** KEPT (pick-wt=21): 122 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A),B))).
% 5.71/5.71 ** KEPT (pick-wt=21): 123 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(power_power_real(A),B))).
% 5.71/5.71 ** KEPT (pick-wt=9): 124 [] A!=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),A)=one_one_int.
% 5.71/5.71 ** KEPT (pick-wt=9): 125 [] A!=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),A)=one_one_nat.
% 5.71/5.71 ** KEPT (pick-wt=9): 126 [] A!=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),A)=one_one_real.
% 5.71/5.71 ** KEPT (pick-wt=30): 127 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(C),B)),hAPP_nat_int(power_power_int(C),A))).
% 5.71/5.71 ** KEPT (pick-wt=30): 128 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(C),B)),hAPP_nat_nat(power_power_nat(C),A))).
% 5.71/5.71 ** KEPT (pick-wt=30): 129 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(C),B)),hAPP_nat_real(power_power_real(C),A))).
% 5.71/5.71 ** KEPT (pick-wt=26): 130 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int(A),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),$f1(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 5.71/5.71 ** KEPT (pick-wt=24): 131 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int(A),one_one_int)))|hBOOL(hAPP_int_bool(C,$f1(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 5.71/5.71 ** KEPT (pick-wt=27): 132 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int(A),one_one_int)))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int($f1(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(C,B)).
% 5.71/5.71 ** KEPT (pick-wt=6): 133 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 5.71/5.71 ** KEPT (pick-wt=3): 134 [] zero_zero_real!=one_one_real.
% 5.71/5.71 ** KEPT (pick-wt=6): 135 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 5.71/5.71 ** KEPT (pick-wt=9): 136 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),A)).
% 5.71/5.71 ** KEPT (pick-wt=9): 137 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),B)).
% 5.71/5.71 ** KEPT (pick-wt=9): 138 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=9): 139 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.71/5.71 ** KEPT (pick-wt=12): 140 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 5.71/5.71 ** KEPT (pick-wt=12): 141 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(A),C)|B!=C.
% 5.71/5.71 ** KEPT (pick-wt=12): 142 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(C),B)|A=C.
% 5.71/5.71 ** KEPT (pick-wt=12): 143 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(C),B)|A!=C.
% 5.71/5.71 ** KEPT (pick-wt=18): 144 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.71 ** KEPT (pick-wt=18): 145 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.71 Following clause subsumed by 135 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),A)).
% 5.71/5.71 Following clause subsumed by 139 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=A.
% 5.71/5.71 Following clause subsumed by 138 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=15): 146 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(plus_plus_nat(B),C))).
% 5.71/5.71 ** KEPT (pick-wt=15): 147 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(plus_plus_nat(C),B))).
% 5.71/5.71 ** KEPT (pick-wt=18): 148 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 5.71/5.71 ** KEPT (pick-wt=24): 149 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 5.71/5.71 ** KEPT (pick-wt=21): 150 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_nat_nat(plus_plus_nat(C),B)!=hAPP_nat_nat(plus_plus_nat(A),D)|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D)).
% 5.71/5.71 ** KEPT (pick-wt=15): 151 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.71/5.71 ** KEPT (pick-wt=9): 152 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|B!=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=24): 153 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.71 Following clause subsumed by 133 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 5.71/5.71 ** KEPT (pick-wt=18): 154 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|B=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=15): 155 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 ** KEPT (pick-wt=12): 156 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|B!=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=21): 157 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 5.71/5.71 Following clause subsumed by 146 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 Following clause subsumed by 147 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B)).
% 5.71/5.71 Following clause subsumed by 139 during input processing: 0 [] A!=zero_zero_nat| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 Following clause subsumed by 133 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat)).
% 5.71/5.71 Following clause subsumed by 154 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|B=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 Following clause subsumed by 156 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))|B!=zero_zero_nat.
% 5.71/5.71 Following clause subsumed by 155 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 ** KEPT (pick-wt=16): 158 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=16): 159 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 Following clause subsumed by 154 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))|number_number_of_nat(B)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 Following clause subsumed by 156 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))|number_number_of_nat(B)!=zero_zero_nat.
% 5.71/5.71 Following clause subsumed by 155 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),number_number_of_nat(B))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 Following clause subsumed by 158 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 Following clause subsumed by 159 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=20): 160 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),B)).
% 5.71/5.71 ** KEPT (pick-wt=14): 161 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(A)),number_number_of_nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=20): 162 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=9): 163 [] hAPP_nat_nat(plus_plus_nat(A),B)!=A|B=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=9): 164 [] hAPP_nat_nat(plus_plus_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=9): 165 [] hAPP_nat_nat(plus_plus_nat(A),B)!=zero_zero_nat|B=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=12): 166 [] hAPP_nat_nat(plus_plus_nat(A),B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 5.71/5.71 ** KEPT (pick-wt=10): 167 [] hAPP_nat_real(semiri132038758t_real,A)!=hAPP_nat_real(semiri132038758t_real,B)|A=B.
% 5.71/5.71 ** KEPT (pick-wt=10): 168 [] hAPP_nat_real(semiri132038758t_real,A)=hAPP_nat_real(semiri132038758t_real,B)|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=10): 169 [] hAPP_nat_nat(semiri984289939at_nat,A)!=hAPP_nat_nat(semiri984289939at_nat,B)|A=B.
% 5.71/5.71 ** KEPT (pick-wt=10): 170 [] hAPP_nat_nat(semiri984289939at_nat,A)=hAPP_nat_nat(semiri984289939at_nat,B)|A!=B.
% 5.71/5.71 Following clause subsumed by 46 during input processing: 0 [] hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 5.71/5.71 Following clause subsumed by 47 during input processing: 0 [] hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 5.71/5.71 Following clause subsumed by 46 during input processing: 0 [] hAPP_nat_int(semiri1621563631at_int,A)!=hAPP_nat_int(semiri1621563631at_int,B)|A=B.
% 5.71/5.71 Following clause subsumed by 47 during input processing: 0 [] hAPP_nat_int(semiri1621563631at_int,A)=hAPP_nat_int(semiri1621563631at_int,B)|A!=B.
% 5.71/5.71 ** KEPT (pick-wt=13): 172 [copy,171,flip.2] -hBOOL(A)|hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(A,B),C))=hAPP_nat_int(semiri1621563631at_int,B).
% 5.71/5.71 ** KEPT (pick-wt=13): 173 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 5.71/5.71 ** KEPT (pick-wt=13): 174 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),A)).
% 5.71/5.71 Following clause subsumed by 115 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 Following clause subsumed by 116 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,A)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.71 Following clause subsumed by 134 during input processing: 0 [flip.1] zero_zero_real!=one_one_real.
% 5.71/5.71 ** KEPT (pick-wt=3): 176 [copy,175,flip.1] zero_zero_nat!=one_one_nat.
% 5.71/5.71 Following clause subsumed by 96 during input processing: 0 [flip.1] zero_zero_int!=one_one_int.
% 5.71/5.71 Following clause subsumed by 134 during input processing: 0 [] zero_zero_real!=one_one_real.
% 5.71/5.71 Following clause subsumed by 176 during input processing: 0 [] zero_zero_nat!=one_one_nat.
% 5.71/5.71 Following clause subsumed by 96 during input processing: 0 [] zero_zero_int!=one_one_int.
% 5.71/5.71 ** KEPT (pick-wt=9): 177 [] A=zero_zero_real|hAPP_nat_real(power_power_real(A),B)!=zero_zero_real.
% 5.71/5.71 ** KEPT (pick-wt=9): 178 [] A=zero_zero_int|hAPP_nat_int(power_power_int(A),B)!=zero_zero_int.
% 5.71/5.71 ** KEPT (pick-wt=16): 179 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=16): 180 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=16): 181 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=16): 182 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 Following clause subsumed by 158 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 Following clause subsumed by 159 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 Following clause subsumed by 180 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B))).
% 5.71/5.71 Following clause subsumed by 182 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B))).
% 5.71/5.71 Following clause subsumed by 159 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))).
% 5.71/5.71 Following clause subsumed by 179 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 Following clause subsumed by 181 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 Following clause subsumed by 158 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.71 ** KEPT (pick-wt=21): 183 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),hAPP_real_real(plus_plus_real(A),C))).
% 5.71/5.71 Following clause subsumed by 147 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_nat_nat(plus_plus_nat(A),C))).
% 5.71/5.71 ** KEPT (pick-wt=21): 184 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),hAPP_int_int(plus_plus_int(A),C))).
% 5.71/5.71 ** KEPT (pick-wt=6): 185 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 5.71/5.71 Following clause subsumed by 133 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 5.71/5.71 ** KEPT (pick-wt=6): 186 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 5.71/5.71 ** KEPT (pick-wt=15): 187 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A),B))).
% 5.71/5.71 Following clause subsumed by 155 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B))).
% 5.71/5.71 ** KEPT (pick-wt=15): 188 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(power_power_int(A),B))).
% 5.71/5.71 ** KEPT (pick-wt=18): 189 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hAPP_nat_real(power_power_real(A),B)!=hAPP_nat_real(power_power_real(A),C)|B=C.
% 5.71/5.71 ** KEPT (pick-wt=18): 190 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hAPP_nat_real(power_power_real(A),B)=hAPP_nat_real(power_power_real(A),C)|B!=C.
% 5.71/5.71 ** KEPT (pick-wt=18): 191 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hAPP_nat_nat(power_power_nat(A),B)!=hAPP_nat_nat(power_power_nat(A),C)|B=C.
% 5.71/5.71 ** KEPT (pick-wt=18): 192 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hAPP_nat_nat(power_power_nat(A),B)=hAPP_nat_nat(power_power_nat(A),C)|B!=C.
% 5.71/5.71 ** KEPT (pick-wt=18): 193 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hAPP_nat_int(power_power_int(A),B)!=hAPP_nat_int(power_power_int(A),C)|B=C.
% 5.71/5.71 ** KEPT (pick-wt=18): 194 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hAPP_nat_int(power_power_int(A),B)=hAPP_nat_int(power_power_int(A),C)|B!=C.
% 5.71/5.71 ** KEPT (pick-wt=24): 195 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 196 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 197 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 198 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 199 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 200 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 195 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 197 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 199 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 196 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(C),A)),hAPP_nat_real(power_power_real(C),B))).
% 5.71/5.72 Following clause subsumed by 198 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(C),A)),hAPP_nat_nat(power_power_nat(C),B))).
% 5.71/5.72 Following clause subsumed by 200 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(C),A)),hAPP_nat_int(power_power_int(C),B))).
% 5.71/5.72 Following clause subsumed by 177 during input processing: 0 [] hAPP_nat_real(power_power_real(A),B)!=zero_zero_real|A=zero_zero_real.
% 5.71/5.72 ** KEPT (pick-wt=9): 201 [] hAPP_nat_real(power_power_real(A),B)!=zero_zero_real|B!=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=12): 202 [] hAPP_nat_real(power_power_real(A),B)=zero_zero_real|A!=zero_zero_real|B=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=9): 203 [] hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=9): 204 [] hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|B!=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=12): 205 [] hAPP_nat_nat(power_power_nat(A),B)=zero_zero_nat|A!=zero_zero_nat|B=zero_zero_nat.
% 5.71/5.72 Following clause subsumed by 178 during input processing: 0 [] hAPP_nat_int(power_power_int(A),B)!=zero_zero_int|A=zero_zero_int.
% 5.71/5.72 ** KEPT (pick-wt=9): 206 [] hAPP_nat_int(power_power_int(A),B)!=zero_zero_int|B!=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=12): 207 [] hAPP_nat_int(power_power_int(A),B)=zero_zero_int|A!=zero_zero_int|B=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=8): 208 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),zero_zero_real)).
% 5.71/5.72 Following clause subsumed by 133 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,A)),zero_zero_nat)).
% 5.71/5.72 Following clause subsumed by 72 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int)).
% 5.71/5.72 ** KEPT (pick-wt=13): 209 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f2(A))).
% 5.71/5.72 ** KEPT (pick-wt=12): 211 [copy,210,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,$f2(A))=A.
% 5.71/5.72 ** KEPT (pick-wt=14): 212 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),$f3(A,B))).
% 5.71/5.72 ** KEPT (pick-wt=14): 213 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hAPP_nat_nat(plus_plus_nat(A),$f3(A,B))=B.
% 5.71/5.72 ** KEPT (pick-wt=12): 214 [] hAPP_nat_nat(power_power_nat(A),B)!=one_one_nat|A=one_one_nat|B=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=9): 215 [] hAPP_nat_nat(power_power_nat(A),B)=one_one_nat|A!=one_one_nat.
% 5.71/5.72 ** KEPT (pick-wt=9): 216 [] hAPP_nat_nat(power_power_nat(A),B)=one_one_nat|B!=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=15): 217 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 5.71/5.72 ** KEPT (pick-wt=15): 218 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 5.71/5.72 ** KEPT (pick-wt=15): 219 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 5.71/5.72 ** KEPT (pick-wt=15): 220 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 5.71/5.72 Following clause subsumed by 44 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 5.71/5.72 Following clause subsumed by 45 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 5.71/5.72 Following clause subsumed by 42 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.72 Following clause subsumed by 43 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)).
% 5.71/5.72 ** KEPT (pick-wt=6): 221 [] zero_zero_real!=A|A=zero_zero_real.
% 5.71/5.72 ** KEPT (pick-wt=6): 222 [] zero_zero_real=A|A!=zero_zero_real.
% 5.71/5.72 ** KEPT (pick-wt=6): 223 [] zero_zero_nat!=A|A=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=6): 224 [] zero_zero_nat=A|A!=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=6): 225 [] zero_zero_int!=A|A=zero_zero_int.
% 5.71/5.72 ** KEPT (pick-wt=6): 226 [] zero_zero_int=A|A!=zero_zero_int.
% 5.71/5.72 ** KEPT (pick-wt=12): 227 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(C),B)|A=C.
% 5.71/5.72 Following clause subsumed by 142 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(C),B)|A=C.
% 5.71/5.72 ** KEPT (pick-wt=12): 228 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(C),B)|A=C.
% 5.71/5.72 ** KEPT (pick-wt=12): 229 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(A),C)|B=C.
% 5.71/5.72 Following clause subsumed by 140 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 5.71/5.72 ** KEPT (pick-wt=12): 230 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(A),C)|B=C.
% 5.71/5.72 Following clause subsumed by 229 during input processing: 0 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(A),C)|B=C.
% 5.71/5.72 Following clause subsumed by 140 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 5.71/5.72 Following clause subsumed by 230 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(A),C)|B=C.
% 5.71/5.72 Following clause subsumed by 227 during input processing: 0 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(C),B)|A=C.
% 5.71/5.72 ** KEPT (pick-wt=12): 231 [] hAPP_real_real(plus_plus_real(A),B)=hAPP_real_real(plus_plus_real(C),B)|A!=C.
% 5.71/5.72 Following clause subsumed by 142 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(C),B)|A=C.
% 5.71/5.72 Following clause subsumed by 143 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(C),B)|A!=C.
% 5.71/5.72 Following clause subsumed by 228 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(C),B)|A=C.
% 5.71/5.72 ** KEPT (pick-wt=12): 232 [] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(C),B)|A!=C.
% 5.71/5.72 Following clause subsumed by 229 during input processing: 0 [] hAPP_real_real(plus_plus_real(A),B)!=hAPP_real_real(plus_plus_real(A),C)|B=C.
% 5.71/5.72 ** KEPT (pick-wt=12): 233 [] hAPP_real_real(plus_plus_real(A),B)=hAPP_real_real(plus_plus_real(A),C)|B!=C.
% 5.71/5.72 Following clause subsumed by 140 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)!=hAPP_nat_nat(plus_plus_nat(A),C)|B=C.
% 5.71/5.72 Following clause subsumed by 141 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(A),C)|B!=C.
% 5.71/5.72 Following clause subsumed by 230 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),B)!=hAPP_int_int(plus_plus_int(A),C)|B=C.
% 5.71/5.72 ** KEPT (pick-wt=12): 234 [] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(A),C)|B!=C.
% 5.71/5.72 ** KEPT (pick-wt=6): 235 [] one_one_real!=A|A=one_one_real.
% 5.71/5.72 ** KEPT (pick-wt=6): 236 [] one_one_real=A|A!=one_one_real.
% 5.71/5.72 ** KEPT (pick-wt=6): 237 [] one_one_nat!=A|A=one_one_nat.
% 5.71/5.72 ** KEPT (pick-wt=6): 238 [] one_one_nat=A|A!=one_one_nat.
% 5.71/5.72 ** KEPT (pick-wt=6): 239 [] one_one_int!=A|A=one_one_int.
% 5.71/5.72 ** KEPT (pick-wt=6): 240 [] one_one_int=A|A!=one_one_int.
% 5.71/5.72 ** KEPT (pick-wt=9): 242 [copy,241,flip.1] hAPP_real_real(plus_plus_real(A),B)!=A|B=zero_zero_real.
% 5.71/5.72 ** KEPT (pick-wt=9): 244 [copy,243,flip.1] hAPP_real_real(plus_plus_real(A),B)=A|B!=zero_zero_real.
% 5.71/5.72 Following clause subsumed by 163 during input processing: 0 [flip.1] hAPP_nat_nat(plus_plus_nat(A),B)!=A|B=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=9): 246 [copy,245,flip.1] hAPP_nat_nat(plus_plus_nat(A),B)=A|B!=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=9): 248 [copy,247,flip.1] hAPP_int_int(plus_plus_int(A),B)!=A|B=zero_zero_int.
% 5.71/5.72 ** KEPT (pick-wt=9): 250 [copy,249,flip.1] hAPP_int_int(plus_plus_int(A),B)=A|B!=zero_zero_int.
% 5.71/5.72 Following clause subsumed by 85 during input processing: 0 [flip.1] hAPP_real_real(plus_plus_real(A),A)!=zero_zero_real|A=zero_zero_real.
% 5.71/5.72 Following clause subsumed by 86 during input processing: 0 [flip.1] hAPP_real_real(plus_plus_real(A),A)=zero_zero_real|A!=zero_zero_real.
% 5.71/5.72 Following clause subsumed by 83 during input processing: 0 [flip.1] hAPP_int_int(plus_plus_int(A),A)!=zero_zero_int|A=zero_zero_int.
% 5.71/5.72 Following clause subsumed by 84 during input processing: 0 [flip.1] hAPP_int_int(plus_plus_int(A),A)=zero_zero_int|A!=zero_zero_int.
% 5.71/5.72 ** KEPT (pick-wt=18): 251 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 5.71/5.72 Following clause subsumed by 144 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 252 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 253 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 254 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 255 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 256 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D))).
% 5.71/5.72 Following clause subsumed by 149 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=24): 257 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=18): 258 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 5.71/5.72 Following clause subsumed by 145 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(C),A)),hAPP_nat_nat(plus_plus_nat(C),B))).
% 5.71/5.72 ** KEPT (pick-wt=18): 259 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 5.71/5.72 ** KEPT (pick-wt=18): 260 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),C))).
% 5.71/5.72 Following clause subsumed by 148 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 5.71/5.72 Following clause subsumed by 25 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 5.71/5.72 Following clause subsumed by 251 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 5.71/5.72 Following clause subsumed by 258 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C)).
% 5.71/5.72 Following clause subsumed by 144 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 145 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 252 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.71/5.72 Following clause subsumed by 259 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C)).
% 5.71/5.72 Following clause subsumed by 253 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 5.71/5.72 Following clause subsumed by 260 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 5.71/5.72 Following clause subsumed by 254 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.71/5.72 Following clause subsumed by 148 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.71/5.72 Following clause subsumed by 255 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.71/5.72 Following clause subsumed by 25 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.71/5.72 Following clause subsumed by 204 during input processing: 0 [] hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|B!=zero_zero_nat.
% 5.71/5.72 Following clause subsumed by 203 during input processing: 0 [] hAPP_nat_nat(power_power_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 5.71/5.72 Following clause subsumed by 205 during input processing: 0 [] hAPP_nat_nat(power_power_nat(A),B)=zero_zero_nat|B=zero_zero_nat|A!=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=21): 261 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),zero_zero_real)).
% 5.71/5.72 Following clause subsumed by 133 during input processing: 0 [unit_del,133,factor_simp] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 5.71/5.72 ** KEPT (pick-wt=21): 262 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),zero_zero_int)).
% 5.71/5.72 Following clause subsumed by 183 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),B))).
% 5.71/5.72 Following clause subsumed by 146 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B))).
% 5.71/5.72 Following clause subsumed by 184 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),B))).
% 5.71/5.72 ** KEPT (pick-wt=20): 263 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f4(B,A))).
% 5.71/5.72 ** KEPT (pick-wt=20): 264 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hAPP_nat_real(power_power_real($f4(B,A)),A)=B.
% 5.71/5.72 ** KEPT (pick-wt=29): 265 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))|hAPP_nat_real(power_power_real(C),A)!=B|C=$f4(B,A).
% 5.71/5.72 ** KEPT (pick-wt=20): 266 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f5(B,A))).
% 5.71/5.72 ** KEPT (pick-wt=20): 267 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hAPP_nat_real(power_power_real($f5(B,A)),A)=B.
% 5.71/5.72 ** KEPT (pick-wt=13): 268 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(A)),one_one_nat)=one_one_nat.
% 5.71/5.72 ** KEPT (pick-wt=13): 269 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(A))=one_one_nat.
% 5.71/5.72 ** KEPT (pick-wt=18): 270 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 271 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 272 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 273 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 274 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 275 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 276 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 277 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 278 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 279 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 280 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=18): 281 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.71/5.72 Following clause subsumed by 271 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),C))).
% 5.71/5.72 Following clause subsumed by 273 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 5.71/5.72 Following clause subsumed by 275 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),C))).
% 5.71/5.72 Following clause subsumed by 277 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 5.71/5.72 Following clause subsumed by 279 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(C),A)),hAPP_nat_nat(plus_plus_nat(C),B))).
% 5.71/5.72 Following clause subsumed by 281 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 5.71/5.72 ** KEPT (pick-wt=24): 282 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=24): 283 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=24): 284 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 5.71/5.72 Following clause subsumed by 270 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 5.71/5.72 Following clause subsumed by 272 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(C),B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.72 Following clause subsumed by 274 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(C),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.71/5.72 Following clause subsumed by 276 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(A),C)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C)).
% 5.71/5.72 Following clause subsumed by 278 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 280 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),hAPP_int_int(plus_plus_int(A),C)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 285 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(C),A)),hAPP_nat_real(power_power_real(C),B))).
% 5.71/5.72 ** KEPT (pick-wt=24): 286 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(C),A)),hAPP_nat_nat(power_power_nat(C),B))).
% 5.71/5.72 ** KEPT (pick-wt=24): 287 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(C),A)),hAPP_nat_int(power_power_int(C),B))).
% 5.71/5.72 ** KEPT (pick-wt=14): 288 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=14): 289 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 Following clause subsumed by 288 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 Following clause subsumed by 289 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=14): 290 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=14): 291 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 Following clause subsumed by 290 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 Following clause subsumed by 291 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=18): 292 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.71/5.72 ** KEPT (pick-wt=15): 293 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|A=B.
% 5.71/5.72 ** KEPT (pick-wt=14): 294 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),number267125858f_real(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=14): 295 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),number267125858f_real(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=14): 296 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=14): 297 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=16): 298 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=16): 299 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=16): 300 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=16): 301 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=16): 302 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=16): 303 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=12): 304 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=9): 305 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A!=B.
% 5.71/5.72 ** KEPT (pick-wt=15): 306 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|A=B.
% 5.71/5.72 Following clause subsumed by 281 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(C),A)),hAPP_int_int(plus_plus_int(C),B))).
% 5.71/5.72 Following clause subsumed by 296 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 Following clause subsumed by 297 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.72 ** KEPT (pick-wt=13): 307 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.72 ** KEPT (pick-wt=13): 308 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),number267125858f_real(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.72 ** KEPT (pick-wt=13): 309 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.72 ** KEPT (pick-wt=13): 310 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.72 ** KEPT (pick-wt=13): 311 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),zero_zero_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.72 ** KEPT (pick-wt=13): 312 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),zero_zero_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.72 ** KEPT (pick-wt=13): 313 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.72 ** KEPT (pick-wt=13): 314 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.72 ** KEPT (pick-wt=30): 315 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(C),B)),hAPP_nat_real(power_power_real(C),A))).
% 5.71/5.72 ** KEPT (pick-wt=30): 316 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),one_one_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(C),B)),hAPP_nat_nat(power_power_nat(C),A))).
% 5.71/5.72 ** KEPT (pick-wt=30): 317 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(C),B)),hAPP_nat_int(power_power_int(C),A))).
% 5.71/5.72 ** KEPT (pick-wt=24): 318 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 319 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 320 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 321 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 322 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=24): 323 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 318 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 320 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 Following clause subsumed by 322 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.72 ** KEPT (pick-wt=14): 324 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),A)).
% 5.71/5.72 ** KEPT (pick-wt=14): 325 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),number267125858f_real(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),A)).
% 5.71/5.72 ** KEPT (pick-wt=14): 326 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),A)).
% 5.71/5.72 ** KEPT (pick-wt=14): 327 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),number_number_of_int(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(pls)),A)).
% 5.71/5.72 ** KEPT (pick-wt=14): 328 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),one_one_real))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),bit1(pls))).
% 5.71/5.72 ** KEPT (pick-wt=14): 329 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),one_one_real))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),bit1(pls))).
% 5.71/5.72 ** KEPT (pick-wt=14): 330 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),one_one_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),bit1(pls))).
% 5.71/5.72 ** KEPT (pick-wt=14): 331 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),one_one_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),bit1(pls))).
% 5.71/5.72 ** KEPT (pick-wt=15): 332 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A)).
% 5.71/5.72 ** KEPT (pick-wt=15): 333 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A)).
% 5.71/5.72 ** KEPT (pick-wt=15): 334 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 5.71/5.72 ** KEPT (pick-wt=15): 335 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)).
% 5.71/5.72 ** KEPT (pick-wt=15): 336 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 5.71/5.72 ** KEPT (pick-wt=15): 337 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real)).
% 5.71/5.72 ** KEPT (pick-wt=15): 338 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),A)),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 5.71/5.72 ** KEPT (pick-wt=15): 339 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),A)),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)).
% 5.71/5.72 ** KEPT (pick-wt=21): 340 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),B))).
% 5.71/5.72 ** KEPT (pick-wt=21): 341 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B))).
% 5.71/5.72 ** KEPT (pick-wt=21): 342 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),B))).
% 5.71/5.72 ** KEPT (pick-wt=21): 343 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hAPP_real_real(plus_plus_real(A),B)!=zero_zero_real|A=zero_zero_real.
% 5.71/5.72 ** KEPT (pick-wt=21): 344 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hAPP_real_real(plus_plus_real(A),B)!=zero_zero_real|B=zero_zero_real.
% 5.71/5.72 ** KEPT (pick-wt=24): 345 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hAPP_real_real(plus_plus_real(A),B)=zero_zero_real|A!=zero_zero_real|B!=zero_zero_real.
% 5.71/5.72 Following clause subsumed by 164 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hAPP_nat_nat(plus_plus_nat(A),B)!=zero_zero_nat|A=zero_zero_nat.
% 5.71/5.72 Following clause subsumed by 165 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hAPP_nat_nat(plus_plus_nat(A),B)!=zero_zero_nat|B=zero_zero_nat.
% 5.71/5.72 Following clause subsumed by 166 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hAPP_nat_nat(plus_plus_nat(A),B)=zero_zero_nat|A!=zero_zero_nat|B!=zero_zero_nat.
% 5.71/5.72 ** KEPT (pick-wt=21): 346 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hAPP_int_int(plus_plus_int(A),B)!=zero_zero_int|A=zero_zero_int.
% 5.71/5.72 ** KEPT (pick-wt=21): 347 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hAPP_int_int(plus_plus_int(A),B)!=zero_zero_int|B=zero_zero_int.
% 5.71/5.72 ** KEPT (pick-wt=24): 348 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hAPP_int_int(plus_plus_int(A),B)=zero_zero_int|A!=zero_zero_int|B!=zero_zero_int.
% 5.71/5.72 ** KEPT (pick-wt=21): 349 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),hAPP_real_real(plus_plus_real(A),C))).
% 5.71/5.72 ** KEPT (pick-wt=21): 350 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),hAPP_nat_nat(plus_plus_nat(A),C))).
% 5.71/5.72 ** KEPT (pick-wt=21): 351 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_int_int(plus_plus_int(A),C))).
% 5.71/5.72 ** KEPT (pick-wt=21): 352 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),hAPP_real_real(plus_plus_real(C),A))).
% 5.71/5.72 ** KEPT (pick-wt=21): 353 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),hAPP_nat_nat(plus_plus_nat(C),A))).
% 5.71/5.72 ** KEPT (pick-wt=21): 354 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),hAPP_int_int(plus_plus_int(C),A))).
% 5.71/5.72 ** KEPT (pick-wt=21): 355 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(A),B)),zero_zero_real)).
% 5.71/5.72 ** KEPT (pick-wt=21): 356 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),zero_zero_nat)).
% 5.71/5.72 ** KEPT (pick-wt=21): 357 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),B)),zero_zero_int)).
% 5.71/5.72 ** KEPT (pick-wt=24): 358 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=24): 359 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=24): 360 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=24): 361 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=24): 362 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 5.71/5.72 ** KEPT (pick-wt=24): 363 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 5.71/5.73 ** KEPT (pick-wt=6): 364 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),zero_zero_real)).
% 5.71/5.73 ** KEPT (pick-wt=6): 365 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 5.71/5.73 ** KEPT (pick-wt=6): 366 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 5.71/5.73 ** KEPT (pick-wt=16): 367 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),number267125858f_real(B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(B)),number267125858f_real(A))).
% 5.71/5.73 ** KEPT (pick-wt=16): 368 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(B)),number_number_of_nat(A))).
% 5.71/5.73 ** KEPT (pick-wt=16): 369 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,number_number_of_int(A)),number_number_of_int(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,number_number_of_int(B)),number_number_of_int(A))).
% 5.71/5.73 ** KEPT (pick-wt=15): 370 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(power_power_real(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=15): 371 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(power_power_nat(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=15): 372 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=24): 373 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A),C)),hAPP_nat_real(power_power_real(B),C))).
% 5.71/5.73 ** KEPT (pick-wt=24): 374 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A),C)),hAPP_nat_nat(power_power_nat(B),C))).
% 5.71/5.73 ** KEPT (pick-wt=24): 375 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A),C)),hAPP_nat_int(power_power_int(B),C))).
% 5.71/5.73 ** KEPT (pick-wt=15): 376 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(power_power_real(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=15): 377 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(power_power_nat(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=15): 378 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_nat_int(power_power_int(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=13): 379 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.73 ** KEPT (pick-wt=13): 380 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.73 ** KEPT (pick-wt=14): 381 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=14): 382 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 Following clause subsumed by 381 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 Following clause subsumed by 382 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=13): 383 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.73 ** KEPT (pick-wt=13): 384 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.73 ** KEPT (pick-wt=13): 385 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.73 ** KEPT (pick-wt=13): 386 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit0(A)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.73 Following clause subsumed by 351 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),B))).
% 5.71/5.73 Following clause subsumed by 360 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),C)),hAPP_int_int(plus_plus_int(B),D))).
% 5.71/5.73 ** KEPT (pick-wt=17): 387 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(B,A))|hBOOL(hAPP_int_bool(B,hAPP_nat_int(semiri1621563631at_int,$f6(B)))).
% 5.71/5.73 ** KEPT (pick-wt=13): 388 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),$f7(A)))| -hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,B))).
% 5.71/5.73 ** KEPT (pick-wt=11): 389 [] hBOOL(hAPP_int_bool(A,$f7(A)))| -hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,B))).
% 5.71/5.73 ** KEPT (pick-wt=11): 390 [] -hBOOL(hAPP_int_bool(A,$f8(A)))|hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,B))).
% 5.71/5.73 ** KEPT (pick-wt=17): 391 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(B,A))| -hBOOL(hAPP_int_bool(B,hAPP_nat_int(semiri1621563631at_int,$f9(B)))).
% 5.71/5.73 Following clause subsumed by 372 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(power_power_int(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=16): 393 [copy,392,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hAPP_int_int(plus_plus_int(A),hAPP_nat_int(semiri1621563631at_int,$f10(A,B)))=B.
% 5.71/5.73 ** KEPT (pick-wt=14): 394 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|B!=hAPP_int_int(plus_plus_int(A),hAPP_nat_int(semiri1621563631at_int,C)).
% 5.71/5.73 ** KEPT (pick-wt=15): 396 [copy,395,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))|number267125858f_real(succ(A))=hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A)).
% 5.71/5.73 ** KEPT (pick-wt=15): 398 [copy,397,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))|number_number_of_nat(succ(A))=hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(A)).
% 5.71/5.73 ** KEPT (pick-wt=15): 400 [copy,399,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))|number_number_of_int(succ(A))=hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(A)).
% 5.71/5.73 ** KEPT (pick-wt=15): 402 [copy,401,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))|number267125858f_real(succ(A))=hAPP_real_real(plus_plus_real(number267125858f_real(A)),one_one_real).
% 5.71/5.73 ** KEPT (pick-wt=15): 404 [copy,403,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))|number_number_of_nat(succ(A))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(A)),one_one_nat).
% 5.71/5.73 ** KEPT (pick-wt=15): 406 [copy,405,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))|number_number_of_int(succ(A))=hAPP_int_int(plus_plus_int(number_number_of_int(A)),one_one_int).
% 5.71/5.73 ** KEPT (pick-wt=21): 407 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),B))).
% 5.71/5.73 Following clause subsumed by 146 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=21): 408 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=21): 409 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(A),B))).
% 5.71/5.73 Following clause subsumed by 147 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(plus_plus_nat(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=21): 410 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(A),B))).
% 5.71/5.73 ** KEPT (pick-wt=21): 411 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),hAPP_real_real(plus_plus_real(A),C))).
% 5.71/5.73 ** KEPT (pick-wt=21): 412 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_nat_nat(plus_plus_nat(A),C))).
% 5.71/5.73 ** KEPT (pick-wt=21): 413 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),hAPP_int_int(plus_plus_int(A),C))).
% 5.71/5.73 ** KEPT (pick-wt=21): 414 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),hAPP_real_real(plus_plus_real(A),C))).
% 5.71/5.73 Following clause subsumed by 147 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),hAPP_nat_nat(plus_plus_nat(A),C))).
% 5.71/5.73 ** KEPT (pick-wt=21): 415 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),hAPP_int_int(plus_plus_int(A),C))).
% 5.71/5.73 ** KEPT (pick-wt=21): 416 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),zero_zero_real)).
% 5.71/5.73 Following clause subsumed by 133 during input processing: 0 [unit_del,133] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),zero_zero_nat)).
% 5.71/5.73 ** KEPT (pick-wt=21): 417 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),zero_zero_int)).
% 5.71/5.73 ** KEPT (pick-wt=21): 418 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(plus_plus_real(A),B)),zero_zero_real)).
% 5.71/5.73 Following clause subsumed by 133 during input processing: 0 [unit_del,133] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),zero_zero_nat)).
% 5.71/5.73 ** KEPT (pick-wt=21): 419 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(plus_plus_int(A),B)),zero_zero_int)).
% 5.71/5.73 ** KEPT (pick-wt=24): 420 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),B)),hAPP_nat_real(power_power_real(C),B)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),C)).
% 5.71/5.73 ** KEPT (pick-wt=24): 421 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),B)),hAPP_nat_nat(power_power_nat(C),B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),C)).
% 5.71/5.73 ** KEPT (pick-wt=24): 422 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),B)),hAPP_nat_int(power_power_int(C),B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),C)).
% 5.71/5.73 ** KEPT (pick-wt=10): 424 [copy,423,flip.1] number_number_of_nat(A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.73 ** KEPT (pick-wt=10): 426 [copy,425,flip.1] number_number_of_nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.73 Following clause subsumed by 424 during input processing: 0 [] number_number_of_nat(A)!=zero_zero_nat|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.73 Following clause subsumed by 426 during input processing: 0 [] number_number_of_nat(A)=zero_zero_nat| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.73 ** KEPT (pick-wt=13): 427 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.73 ** KEPT (pick-wt=13): 428 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit1(A)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A)).
% 5.71/5.73 ** KEPT (pick-wt=13): 429 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.73 ** KEPT (pick-wt=13): 430 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),pls))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls)).
% 5.71/5.73 ** KEPT (pick-wt=14): 431 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=14): 432 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 Following clause subsumed by 431 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 Following clause subsumed by 432 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,bit0(A)),bit1(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=14): 433 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=14): 434 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.73 Following clause subsumed by 433 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit0(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.73 Following clause subsumed by 434 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,bit1(A)),bit0(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=12): 435 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 5.71/5.73 ** KEPT (pick-wt=12): 436 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)).
% 5.71/5.73 ** KEPT (pick-wt=11): 437 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int))|A=zero_zero_nat.
% 5.71/5.73 ** KEPT (pick-wt=11): 438 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),zero_zero_int))|A!=zero_zero_nat.
% 5.71/5.73 ** KEPT (pick-wt=15): 439 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=15): 440 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(B),one_one_int)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=15): 441 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),one_one_int)),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=15): 442 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),one_one_int)),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.73 Following clause subsumed by 442 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(A),one_one_int)),B)).
% 5.71/5.73 ** KEPT (pick-wt=30): 443 [] hAPP_nat_real(power_power_real(A),B)!=hAPP_nat_real(power_power_real(C),B)| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|A=C.
% 5.71/5.73 ** KEPT (pick-wt=30): 444 [] hAPP_nat_nat(power_power_nat(A),B)!=hAPP_nat_nat(power_power_nat(C),B)| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|A=C.
% 5.71/5.73 ** KEPT (pick-wt=30): 445 [] hAPP_nat_int(power_power_int(A),B)!=hAPP_nat_int(power_power_int(C),B)| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B))|A=C.
% 5.71/5.73 ** KEPT (pick-wt=24): 446 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),B))|hAPP_real_real(plus_plus_real(number267125858f_real(A)),number267125858f_real(B))=number267125858f_real(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.73 ** KEPT (pick-wt=24): 447 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),B))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(A)),number_number_of_nat(B))=number_number_of_nat(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.73 ** KEPT (pick-wt=24): 448 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),B))|hAPP_int_int(plus_plus_int(number_number_of_int(A)),number_number_of_int(B))=number_number_of_int(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.73 ** KEPT (pick-wt=15): 449 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),A))).
% 5.71/5.73 ** KEPT (pick-wt=30): 450 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),C)),hAPP_nat_real(power_power_real(B),C))).
% 5.71/5.73 ** KEPT (pick-wt=30): 451 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),C)),hAPP_nat_nat(power_power_nat(B),C))).
% 5.71/5.73 ** KEPT (pick-wt=30): 452 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),C)),hAPP_nat_int(power_power_int(B),C))).
% 5.71/5.73 ** KEPT (pick-wt=30): 453 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=30): 454 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(power_power_nat(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(B),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=30): 455 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=30): 456 [] hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))!=hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|A=B.
% 5.71/5.73 ** KEPT (pick-wt=30): 457 [] hAPP_nat_nat(power_power_nat(A),number_number_of_nat(bit0(bit1(pls))))!=hAPP_nat_nat(power_power_nat(B),number_number_of_nat(bit0(bit1(pls))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|A=B.
% 5.71/5.73 ** KEPT (pick-wt=30): 458 [] hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))!=hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|A=B.
% 5.71/5.73 ** KEPT (pick-wt=14): 459 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))|hAPP_nat_real(semiri132038758t_real,number_number_of_nat(A))=number267125858f_real(A).
% 5.71/5.73 ** KEPT (pick-wt=14): 460 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))|hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(A))=number_number_of_int(A).
% 5.71/5.73 Following clause subsumed by 420 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 5.71/5.73 Following clause subsumed by 421 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(power_power_nat(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_nat(power_power_nat(B),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.73 Following clause subsumed by 422 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=24): 461 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))|A=zero_zero_real.
% 5.71/5.73 ** KEPT (pick-wt=24): 462 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))|B=zero_zero_real.
% 5.71/5.73 ** KEPT (pick-wt=27): 463 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_real))|A!=zero_zero_real|B!=zero_zero_real.
% 5.71/5.73 ** KEPT (pick-wt=24): 464 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))|A=zero_zero_int.
% 5.71/5.73 ** KEPT (pick-wt=24): 465 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))|B=zero_zero_int.
% 5.71/5.73 ** KEPT (pick-wt=27): 466 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))),zero_zero_int))|A!=zero_zero_int|B!=zero_zero_int.
% 5.71/5.73 ** KEPT (pick-wt=21): 467 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),number_number_of_int(bit0(bit1(pls)))))|A=zero_zero_int|A=one_one_int.
% 5.71/5.73 ** KEPT (pick-wt=15): 468 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit0(A)))).
% 5.71/5.73 ** KEPT (pick-wt=15): 469 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(A)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),number_number_of_int(bit1(A)))).
% 5.71/5.73 ** KEPT (pick-wt=12): 471 [copy,470,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,$f11(A))=A.
% 5.71/5.73 ** KEPT (pick-wt=12): 473 [copy,472,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,$f12(A))=A.
% 5.71/5.73 ** KEPT (pick-wt=9): 474 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))|A=zero_zero_nat.
% 5.71/5.73 ** KEPT (pick-wt=9): 475 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),zero_zero_nat))|A!=zero_zero_nat.
% 5.71/5.73 ** KEPT (pick-wt=12): 476 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=9): 477 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=15): 478 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.73 Following clause subsumed by 476 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 Following clause subsumed by 478 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B.
% 5.71/5.73 Following clause subsumed by 476 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B)).
% 5.71/5.73 Following clause subsumed by 477 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A!=B.
% 5.71/5.73 Following clause subsumed by 476 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 Following clause subsumed by 138 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A!=B.
% 5.71/5.73 Following clause subsumed by 478 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A=B.
% 5.71/5.73 Following clause subsumed by 477 during input processing: 0 [] A!=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=18): 479 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.73 ** KEPT (pick-wt=15): 480 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A))|A=B.
% 5.71/5.73 ** KEPT (pick-wt=15): 481 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A=B.
% 5.71/5.73 ** KEPT (pick-wt=12): 482 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=9): 483 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A!=B.
% 5.71/5.73 Following clause subsumed by 482 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=9): 484 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|A!=B.
% 5.71/5.73 Following clause subsumed by 481 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A=B.
% 5.71/5.73 ** KEPT (pick-wt=14): 486 [copy,485,flip.2] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hAPP_nat_nat(plus_plus_nat(A),$f13(A,B))=B.
% 5.71/5.73 ** KEPT (pick-wt=12): 487 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|B!=hAPP_nat_nat(plus_plus_nat(A),C).
% 5.71/5.73 Following clause subsumed by 278 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.73 Following clause subsumed by 279 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),hAPP_nat_nat(plus_plus_nat(A),C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.73 ** KEPT (pick-wt=15): 488 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(plus_plus_nat(B),C))).
% 5.71/5.73 ** KEPT (pick-wt=15): 489 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(plus_plus_nat(C),B))).
% 5.71/5.73 Following clause subsumed by 273 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),C))).
% 5.71/5.73 Following clause subsumed by 283 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),D))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),C)),hAPP_nat_nat(plus_plus_nat(B),D))).
% 5.71/5.73 ** KEPT (pick-wt=15): 490 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.73 ** KEPT (pick-wt=15): 491 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.73 Following clause subsumed by 491 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.73 Following clause subsumed by 490 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(A),B)),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C)).
% 5.71/5.73 Following clause subsumed by 277 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(plus_plus_real(C),A)),hAPP_real_real(plus_plus_real(C),B))).
% 5.71/5.73 Following clause subsumed by 302 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 Following clause subsumed by 303 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 Following clause subsumed by 302 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 Following clause subsumed by 303 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=20): 492 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.73 ** KEPT (pick-wt=14): 493 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.73 ** KEPT (pick-wt=14): 494 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),pls)).
% 5.71/5.73 ** KEPT (pick-wt=16): 495 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f14(B,A)),B)).
% 5.71/5.73 ** KEPT (pick-wt=20): 496 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),$f14(B,A)))| -hBOOL(hAPP_nat_bool(A,C)).
% 5.71/5.73 ** KEPT (pick-wt=17): 497 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(A,hAPP_nat_nat(plus_plus_nat($f14(B,A)),one_one_nat))).
% 5.71/5.73 ** KEPT (pick-wt=12): 499 [copy,498,flip.2] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))|hAPP_nat_int(semiri1621563631at_int,$f15(A))=A.
% 5.71/5.73 ** KEPT (pick-wt=32): 500 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(A,$f17(B,C,A))),hAPP_nat_nat(A,$f16(B,C,A))))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(A,B)),C)),hAPP_nat_nat(A,hAPP_nat_nat(plus_plus_nat(B),C)))).
% 5.71/5.73 ** KEPT (pick-wt=18): 501 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 5.71/5.73 ** KEPT (pick-wt=15): 502 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A))|A=B.
% 5.71/5.73 ** KEPT (pick-wt=23): 503 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),$f18(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 5.71/5.73 ** KEPT (pick-wt=21): 504 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,A))|hBOOL(hAPP_int_bool(C,$f18(C,A,B)))|hBOOL(hAPP_int_bool(C,B)).
% 5.71/5.73 ** KEPT (pick-wt=24): 505 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(C,A))| -hBOOL(hAPP_int_bool(C,hAPP_int_int(plus_plus_int($f18(C,A,B)),one_one_int)))|hBOOL(hAPP_int_bool(C,B)).
% 5.71/5.73 ** KEPT (pick-wt=16): 506 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,$f19(B,A)),B)).
% 5.71/5.73 ** KEPT (pick-wt=20): 507 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C),$f19(B,A)))| -hBOOL(hAPP_nat_bool(A,C)).
% 5.71/5.73 ** KEPT (pick-wt=14): 508 [] hBOOL(hAPP_nat_bool(A,zero_zero_nat))| -hBOOL(hAPP_nat_bool(A,B))|hBOOL(hAPP_nat_bool(A,$f19(B,A))).
% 5.71/5.73 ** KEPT (pick-wt=28): 509 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f21(A,B,C)),$f20(A,B,C)))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(C,A)),hAPP_nat_nat(C,B))).
% 5.71/5.73 ** KEPT (pick-wt=32): 510 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(A,$f21(B,C,A))),hAPP_nat_nat(A,$f20(B,C,A))))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(A,B)),hAPP_nat_nat(A,C))).
% 5.71/5.73 Following clause subsumed by 501 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),B)).
% 5.71/5.74 Following clause subsumed by 479 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B)).
% 5.71/5.74 Following clause subsumed by 292 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),A))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B)).
% 5.71/5.74 Following clause subsumed by 502 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A))|B=A.
% 5.71/5.74 Following clause subsumed by 480 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A))|B=A.
% 5.71/5.74 Following clause subsumed by 293 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|B=A.
% 5.71/5.74 Following clause subsumed by 501 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 5.71/5.74 Following clause subsumed by 479 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.74 Following clause subsumed by 292 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.71/5.74 Following clause subsumed by 502 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A))|A=B.
% 5.71/5.74 Following clause subsumed by 480 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A))|A=B.
% 5.71/5.74 Following clause subsumed by 293 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|A=B.
% 5.71/5.74 ** KEPT (pick-wt=15): 511 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|A!=C|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),B)).
% 5.71/5.74 ** KEPT (pick-wt=15): 512 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|A!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B)).
% 5.71/5.74 ** KEPT (pick-wt=15): 513 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|A!=C|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B)).
% 5.71/5.74 ** KEPT (pick-wt=15): 514 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|B!=C|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 5.71/5.74 ** KEPT (pick-wt=15): 515 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|B!=C|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.74 ** KEPT (pick-wt=15): 516 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|B!=C|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.71/5.74 ** KEPT (pick-wt=15): 517 [] A!=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),A)).
% 5.71/5.74 ** KEPT (pick-wt=15): 518 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C),A)).
% 5.71/5.74 ** KEPT (pick-wt=15): 519 [] A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),A)).
% 5.71/5.74 ** KEPT (pick-wt=15): 520 [] A!=B| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),C))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),C)).
% 5.71/5.74 ** KEPT (pick-wt=15): 521 [] A!=B| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),C))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),C)).
% 5.71/5.74 ** KEPT (pick-wt=15): 522 [] A!=B| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),C))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),C)).
% 5.71/5.74 Following clause subsumed by 502 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A))|B=A.
% 5.71/5.74 Following clause subsumed by 483 during input processing: 0 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A))|B!=A.
% 5.71/5.74 Following clause subsumed by 480 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))| -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A))|B=A.
% 5.71/5.74 Following clause subsumed by 477 during input processing: 0 [] -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A))|B!=A.
% 5.71/5.74 Following clause subsumed by 293 during input processing: 0 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))| -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|B=A.
% 5.71/5.74 ** KEPT (pick-wt=15): 523 [] -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))|B!=A.
% 5.71/5.74 ** KEPT (pick-wt=9): 524 [] A!=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)).
% 5.71/5.74 ** KEPT (pick-wt=20): 525 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),$f22(B,A))).
% 5.71/5.74 ** KEPT (pick-wt=20): 526 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f22(B,A)),A)).
% 5.71/5.74 ** KEPT (pick-wt=20): 527 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,$f22(B,A)),B)).
% 5.71/5.74 ** KEPT (pick-wt=13): 528 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(A))).
% 5.71/5.74 ** KEPT (pick-wt=10): 529 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))|sqrt(A)!=zero_zero_real.
% 5.71/5.74 ** KEPT (pick-wt=13): 530 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(A)),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 5.71/5.74 ** KEPT (pick-wt=13): 531 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(A)),zero_zero_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real)).
% 5.71/5.74 ** KEPT (pick-wt=13): 532 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 5.71/5.74 Following clause subsumed by 528 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),sqrt(A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A)).
% 5.71/5.74 ** KEPT (pick-wt=13): 533 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(A)),one_one_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),one_one_real)).
% 5.71/5.74 ** KEPT (pick-wt=13): 534 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,sqrt(A)),one_one_real))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),one_one_real)).
% 5.71/5.74 ** KEPT (pick-wt=13): 535 [] -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),sqrt(A)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A)).
% 5.71/5.74 ** KEPT (pick-wt=13): 536 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),sqrt(A)))| -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A)).
% 5.71/5.74 ** KEPT (pick-wt=8): 537 [] -is_bool(A)|A=fTrue|A=fFalse.
% 5.71/5.74 Following clause subsumed by 89 during input processing: 0 [copy,88,flip.1] bit0(A)!=bit1(B).
% 5.71/5.74 Following clause subsumed by 88 during input processing: 0 [copy,89,flip.1] bit1(A)!=bit0(B).
% 5.71/5.74 97 back subsumes 7.
% 5.71/5.74 103 back subsumes 9.
% 5.71/5.74 124 back subsumes 11.
% 5.71/5.74 125 back subsumes 12.
% 5.71/5.74 126 back subsumes 13.
% 5.71/5.74 177 back subsumes 103.
% 5.71/5.74 178 back subsumes 97.
% 5.71/5.74 201 back subsumes 104.
% 5.71/5.74 202 back subsumes 105.
% 5.71/5.74 203 back subsumes 100.
% 5.71/5.74 204 back subsumes 101.
% 5.71/5.74 205 back subsumes 102.
% 5.71/5.74 206 back subsumes 98.
% 5.71/5.74 207 back subsumes 99.
% 5.71/5.74 216 back subsumes 125.
% 5.71/5.74 349 back subsumes 340.
% 5.71/5.74 350 back subsumes 341.
% 5.71/5.74 351 back subsumes 342.
% 5.71/5.74 411 back subsumes 407.
% 5.71/5.74 413 back subsumes 408.
% 5.71/5.74 414 back subsumes 409.
% 5.71/5.74 415 back subsumes 410.
% 5.71/5.74 477 back subsumes 475.
% 5.71/5.74 488 back subsumes 353.
% 5.71/5.74 489 back subsumes 350.
% 5.71/5.74 524 back subsumes 523.
% 5.71/5.74
% 5.71/5.74 ------------> process sos:
% 5.71/5.74 ** KEPT (pick-wt=3): 583 [] A=A.
% 5.71/5.74 ** KEPT (pick-wt=2): 584 [] is_bool(fFalse).
% 5.71/5.74 ** KEPT (pick-wt=2): 585 [] is_bool(fTrue).
% 5.71/5.74 ** KEPT (pick-wt=4): 586 [] is_bool(hAPP_int_bool(A,B)).
% 5.71/5.74 ** KEPT (pick-wt=4): 587 [] is_bool(hAPP_nat_bool(A,B)).
% 5.71/5.74 ** KEPT (pick-wt=4): 588 [] is_bool(hAPP_real_bool(A,B)).
% 5.71/5.74 ** KEPT (pick-wt=11): 589 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 5.71/5.74 ** KEPT (pick-wt=6): 590 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)).
% 5.71/5.74 ** KEPT (pick-wt=9): 591 [] hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls))))=one_one_int.
% 5.71/5.74 ---> New Demodulator: 592 [new_demod,591] hAPP_nat_int(power_power_int(one_one_int),number_number_of_nat(bit0(bit1(pls))))=one_one_int.
% 5.71/5.74 ** KEPT (pick-wt=9): 593 [] hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls))))=one_one_nat.
% 5.71/5.74 ---> New Demodulator: 594 [new_demod,593] hAPP_nat_nat(power_power_nat(one_one_nat),number_number_of_nat(bit0(bit1(pls))))=one_one_nat.
% 5.71/5.74 ** KEPT (pick-wt=9): 595 [] hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls))))=one_one_real.
% 5.71/5.74 ---> New Demodulator: 596 [new_demod,595] hAPP_nat_real(power_power_real(one_one_real),number_number_of_nat(bit0(bit1(pls))))=one_one_real.
% 5.71/5.74 ** KEPT (pick-wt=9): 597 [] hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int.
% 5.71/5.74 ---> New Demodulator: 598 [new_demod,597] hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int.
% 5.71/5.74 ** KEPT (pick-wt=9): 599 [] hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat.
% 5.71/5.74 ---> New Demodulator: 600 [new_demod,599] hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))=zero_zero_nat.
% 5.71/5.74 ** KEPT (pick-wt=9): 601 [] hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real.
% 5.71/5.74 ---> New Demodulator: 602 [new_demod,601] hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(bit0(bit1(pls))))=zero_zero_real.
% 5.71/5.74 ** KEPT (pick-wt=12): 604 [copy,603,flip.1] number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),A))=hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(A)).
% 5.71/5.74 ---> New Demodulator: 605 [new_demod,604] number_number_of_int(hAPP_int_int(plus_plus_int(bit1(pls)),A))=hAPP_int_int(plus_plus_int(one_one_int),number_number_of_int(A)).
% 5.71/5.74 ** KEPT (pick-wt=12): 606 [] hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A))=number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),A)).
% 5.71/5.74 ** KEPT (pick-wt=12): 607 [] hAPP_int_int(plus_plus_int(number_number_of_int(A)),one_one_int)=number_number_of_int(hAPP_int_int(plus_plus_int(A),bit1(pls))).
% 5.71/5.74 ---> New Demodulator: 608 [new_demod,607] hAPP_int_int(plus_plus_int(number_number_of_int(A)),one_one_int)=number_number_of_int(hAPP_int_int(plus_plus_int(A),bit1(pls))).
% 5.71/5.74 ** KEPT (pick-wt=12): 609 [] hAPP_real_real(plus_plus_real(number267125858f_real(A)),one_one_real)=number267125858f_real(hAPP_int_int(plus_plus_int(A),bit1(pls))).
% 5.71/5.74 ---> New Demodulator: 610 [new_demod,609] hAPP_real_real(plus_plus_real(number267125858f_real(A)),one_one_real)=number267125858f_real(hAPP_int_int(plus_plus_int(A),bit1(pls))).
% 5.71/5.74 ** KEPT (pick-wt=9): 611 [] hAPP_int_int(plus_plus_int(one_one_int),one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 5.71/5.74 ---> New Demodulator: 612 [new_demod,611] hAPP_int_int(plus_plus_int(one_one_int),one_one_int)=number_number_of_int(bit0(bit1(pls))).
% 5.71/5.74 ** KEPT (pick-wt=9): 613 [] hAPP_real_real(plus_plus_real(one_one_real),one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 5.71/5.74 ---> New Demodulator: 614 [new_demod,613] hAPP_real_real(plus_plus_real(one_one_real),one_one_real)=number267125858f_real(bit0(bit1(pls))).
% 5.71/5.74 Following clause subsumed by 583 during input processing: 0 [demod,612] number_number_of_int(bit0(bit1(pls)))=number_number_of_int(bit0(bit1(pls))).
% 5.71/5.74 ** KEPT (pick-wt=9): 615 [] hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 5.71/5.74 ---> New Demodulator: 616 [new_demod,615] hAPP_nat_nat(plus_plus_nat(one_one_nat),one_one_nat)=number_number_of_nat(bit0(bit1(pls))).
% 5.71/5.74 Following clause subsumed by 583 during input processing: 0 [demod,614] number267125858f_real(bit0(bit1(pls)))=number267125858f_real(bit0(bit1(pls))).
% 5.71/5.74 ** KEPT (pick-wt=22): 617 [] hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit0(bit1(pls))))).
% 5.71/5.74 ---> New Demodulator: 618 [new_demod,617] hAPP_nat_int(power_power_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),number_number_of_nat(bit0(bit1(pls))))=hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit0(bit1(pls))))).
% 5.71/5.74 ** KEPT (pick-wt=11): 619 [] number_number_of_nat(A)=zero_zero_nat|hAPP_nat_int(power_power_int(zero_zero_int),number_number_of_nat(A))=zero_zero_int.
% 5.71/5.74 ** KEPT (pick-wt=11): 620 [] number_number_of_nat(A)=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),number_number_of_nat(A))=zero_zero_nat.
% 5.71/5.74 ** KEPT (pick-wt=11): 621 [] number_number_of_nat(A)=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),number_number_of_nat(A))=zero_zero_real.
% 5.71/5.74 ** KEPT (pick-wt=5): 623 [copy,622,flip.1] number_number_of_int(bit1(pls))=one_one_int.
% 5.71/5.74 ---> New Demodulator: 624 [new_demod,623] number_number_of_int(bit1(pls))=one_one_int.
% 5.71/5.74 ** KEPT (pick-wt=5): 626 [copy,625,flip.1] number267125858f_real(bit1(pls))=one_one_real.
% 5.71/5.74 ---> New Demodulator: 627 [new_demod,626] number267125858f_real(bit1(pls))=one_one_real.
% 5.71/5.74 Following clause subsumed by 583 during input processing: 0 [demod,624] one_one_int=one_one_int.
% 5.71/5.74 Following clause subsumed by 583 during input processing: 0 [demod,627] one_one_real=one_one_real.
% 5.71/5.74 ** KEPT (pick-wt=6): 628 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)).
% 5.71/5.74 ** KEPT (pick-wt=15): 629 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.71/5.74 ** KEPT (pick-wt=12): 630 [] hAPP_int_int(plus_plus_int(number_number_of_int(A)),number_number_of_int(B))=number_number_of_int(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.74 ** KEPT (pick-wt=4): 632 [copy,631,flip.1] number_number_of_int(pls)=zero_zero_int.
% 5.71/5.74 ---> New Demodulator: 633 [new_demod,632] number_number_of_int(pls)=zero_zero_int.
% 5.71/5.74 ** KEPT (pick-wt=13): 635 [copy,634,flip.1] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(A),B))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B).
% 5.71/5.75 ---> New Demodulator: 636 [new_demod,635] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(power_power_nat(A),B))=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,636] hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B).
% 5.71/5.75 ** KEPT (pick-wt=21): 638 [copy,637,flip.1] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(A),B))),C)=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,B)),C)).
% 5.71/5.75 ---> New Demodulator: 639 [new_demod,638] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(A),B))),C)=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,B)),C)).
% 5.71/5.75 ** KEPT (pick-wt=15): 641 [copy,640,flip.1] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(A),B))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 5.71/5.75 ---> New Demodulator: 642 [new_demod,641] hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(plus_plus_nat(A),B))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 5.71/5.75 ** KEPT (pick-wt=5): 643 [] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 5.71/5.75 ---> New Demodulator: 644 [new_demod,643] hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 5.71/5.75 ** KEPT (pick-wt=4): 645 [] number_number_of_nat(pls)=zero_zero_nat.
% 5.71/5.75 ---> New Demodulator: 646 [new_demod,645] number_number_of_nat(pls)=zero_zero_nat.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,646] zero_zero_nat=zero_zero_nat.
% 5.71/5.75 ** KEPT (pick-wt=5): 647 [] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 5.71/5.75 ---> New Demodulator: 648 [new_demod,647] hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,616] number_number_of_nat(bit0(bit1(pls)))=number_number_of_nat(bit0(bit1(pls))).
% 5.71/5.75 ** KEPT (pick-wt=24): 649 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),pls))|hAPP_nat_nat(plus_plus_nat(number_number_of_nat(A)),number_number_of_nat(B))=number_number_of_nat(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,624] one_one_int=one_one_int.
% 5.71/5.75 ** KEPT (pick-wt=5): 650 [] number_number_of_nat(bit1(pls))=one_one_nat.
% 5.71/5.75 ---> New Demodulator: 651 [new_demod,650] number_number_of_nat(bit1(pls))=one_one_nat.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,651] one_one_nat=one_one_nat.
% 5.71/5.75 ** KEPT (pick-wt=15): 652 [] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A),B)),C)=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 5.71/5.75 ---> New Demodulator: 653 [new_demod,652] hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(A),B)),C)=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 5.71/5.75 ** KEPT (pick-wt=15): 654 [] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(A),C)).
% 5.71/5.75 ** KEPT (pick-wt=9): 655 [] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(B),A).
% 5.71/5.75 ** KEPT (pick-wt=6): 656 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 5.71/5.75 ** KEPT (pick-wt=4): 657 [] bit0(pls)=pls.
% 5.71/5.75 ---> New Demodulator: 658 [new_demod,657] bit0(pls)=pls.
% 5.71/5.75 ** KEPT (pick-wt=3): 660 [copy,659,flip.1] zero_zero_int=pls.
% 5.71/5.75 ---> New Demodulator: 661 [new_demod,660] zero_zero_int=pls.
% 5.71/5.75 ** KEPT (pick-wt=6): 662 [] hAPP_int_int(plus_plus_int(A),pls)=A.
% 5.71/5.75 ---> New Demodulator: 663 [new_demod,662] hAPP_int_int(plus_plus_int(A),pls)=A.
% 5.71/5.75 ** KEPT (pick-wt=6): 664 [] hAPP_int_int(plus_plus_int(pls),A)=A.
% 5.71/5.75 ---> New Demodulator: 665 [new_demod,664] hAPP_int_int(plus_plus_int(pls),A)=A.
% 5.71/5.75 ** KEPT (pick-wt=12): 666 [] hAPP_int_int(plus_plus_int(bit0(A)),bit0(B))=bit0(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.75 ** KEPT (pick-wt=7): 668 [copy,667,flip.1] hAPP_int_int(plus_plus_int(A),A)=bit0(A).
% 5.71/5.75 ---> New Demodulator: 669 [new_demod,668] hAPP_int_int(plus_plus_int(A),A)=bit0(A).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,663] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,665] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,633,661,661] pls=pls.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,646] zero_zero_nat=zero_zero_nat.
% 5.71/5.75 ** KEPT (pick-wt=4): 670 [] number267125858f_real(pls)=zero_zero_real.
% 5.71/5.75 ---> New Demodulator: 671 [new_demod,670] number267125858f_real(pls)=zero_zero_real.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,633,661,661] pls=pls.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,671] zero_zero_real=zero_zero_real.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,633,661] pls=pls.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,671] zero_zero_real=zero_zero_real.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,633,661,665] A=A.
% 5.71/5.75 ** KEPT (pick-wt=6): 673 [copy,672,demod,671] hAPP_real_real(plus_plus_real(zero_zero_real),A)=A.
% 5.71/5.75 ---> New Demodulator: 674 [new_demod,673] hAPP_real_real(plus_plus_real(zero_zero_real),A)=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,633,661,663] A=A.
% 5.71/5.75 ** KEPT (pick-wt=6): 676 [copy,675,demod,671] hAPP_real_real(plus_plus_real(A),zero_zero_real)=A.
% 5.71/5.75 ---> New Demodulator: 677 [new_demod,676] hAPP_real_real(plus_plus_real(A),zero_zero_real)=A.
% 5.71/5.75 ** KEPT (pick-wt=18): 679 [copy,678,flip.1] hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(A),B))),C)=hAPP_int_int(plus_plus_int(number_number_of_int(A)),hAPP_int_int(plus_plus_int(number_number_of_int(B)),C)).
% 5.71/5.75 ---> New Demodulator: 680 [new_demod,679] hAPP_int_int(plus_plus_int(number_number_of_int(hAPP_int_int(plus_plus_int(A),B))),C)=hAPP_int_int(plus_plus_int(number_number_of_int(A)),hAPP_int_int(plus_plus_int(number_number_of_int(B)),C)).
% 5.71/5.75 ** KEPT (pick-wt=18): 682 [copy,681,flip.1] hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(A),B))),C)=hAPP_real_real(plus_plus_real(number267125858f_real(A)),hAPP_real_real(plus_plus_real(number267125858f_real(B)),C)).
% 5.71/5.75 ---> New Demodulator: 683 [new_demod,682] hAPP_real_real(plus_plus_real(number267125858f_real(hAPP_int_int(plus_plus_int(A),B))),C)=hAPP_real_real(plus_plus_real(number267125858f_real(A)),hAPP_real_real(plus_plus_real(number267125858f_real(B)),C)).
% 5.71/5.75 Following clause subsumed by 630 during input processing: 0 [] hAPP_int_int(plus_plus_int(number_number_of_int(A)),number_number_of_int(B))=number_number_of_int(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.75 ** KEPT (pick-wt=12): 684 [] hAPP_real_real(plus_plus_real(number267125858f_real(A)),number267125858f_real(B))=number267125858f_real(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.75 ** KEPT (pick-wt=12): 685 [] number_number_of_int(hAPP_int_int(plus_plus_int(A),B))=hAPP_int_int(plus_plus_int(number_number_of_int(A)),number_number_of_int(B)).
% 5.71/5.75 ** KEPT (pick-wt=12): 686 [] number267125858f_real(hAPP_int_int(plus_plus_int(A),B))=hAPP_real_real(plus_plus_real(number267125858f_real(A)),number267125858f_real(B)).
% 5.71/5.75 ** KEPT (pick-wt=12): 687 [] hAPP_int_int(plus_plus_int(bit1(A)),bit0(B))=bit1(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.75 ** KEPT (pick-wt=12): 688 [] hAPP_int_int(plus_plus_int(bit0(A)),bit1(B))=bit1(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.75 ** KEPT (pick-wt=8): 690 [copy,689,demod,653,669] bit1(A)=hAPP_int_int(plus_plus_int(one_one_int),bit0(A)).
% 5.71/5.75 ** KEPT (pick-wt=8): 691 [] number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,A))=hAPP_nat_nat(semiri984289939at_nat,A).
% 5.71/5.75 ---> New Demodulator: 692 [new_demod,691] number_number_of_nat(hAPP_nat_int(semiri1621563631at_int,A))=hAPP_nat_nat(semiri984289939at_nat,A).
% 5.71/5.75 ** KEPT (pick-wt=8): 693 [] number_number_of_int(hAPP_nat_int(semiri1621563631at_int,A))=hAPP_nat_int(semiri1621563631at_int,A).
% 5.71/5.75 ---> New Demodulator: 694 [new_demod,693] number_number_of_int(hAPP_nat_int(semiri1621563631at_int,A))=hAPP_nat_int(semiri1621563631at_int,A).
% 5.71/5.75 ** KEPT (pick-wt=8): 695 [] number267125858f_real(hAPP_nat_int(semiri1621563631at_int,A))=hAPP_nat_real(semiri132038758t_real,A).
% 5.71/5.75 ---> New Demodulator: 696 [new_demod,695] number267125858f_real(hAPP_nat_int(semiri1621563631at_int,A))=hAPP_nat_real(semiri132038758t_real,A).
% 5.71/5.75 ** KEPT (pick-wt=15): 698 [copy,697,demod,661,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))))|A=pls.
% 5.71/5.75 ** KEPT (pick-wt=15): 699 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))))|A=zero_zero_real.
% 5.71/5.75 ** KEPT (pick-wt=24): 701 [copy,700,demod,661,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))))|A=pls.
% 5.71/5.75 ** KEPT (pick-wt=24): 703 [copy,702,demod,661,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))))|B=pls.
% 5.71/5.75 ** KEPT (pick-wt=24): 704 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))))|A=zero_zero_real.
% 5.71/5.75 ** KEPT (pick-wt=24): 705 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))))|B=zero_zero_real.
% 5.71/5.75 ** KEPT (pick-wt=7): 707 [copy,706,demod,661,665,669] number_number_of_int(bit0(A))=bit0(number_number_of_int(A)).
% 5.71/5.75 ---> New Demodulator: 708 [new_demod,707] number_number_of_int(bit0(A))=bit0(number_number_of_int(A)).
% 5.71/5.75 ** KEPT (pick-wt=10): 710 [copy,709,demod,674,flip.1] hAPP_real_real(plus_plus_real(number267125858f_real(A)),number267125858f_real(A))=number267125858f_real(bit0(A)).
% 5.71/5.75 ---> New Demodulator: 711 [new_demod,710] hAPP_real_real(plus_plus_real(number267125858f_real(A)),number267125858f_real(A))=number267125858f_real(bit0(A)).
% 5.71/5.75 ** KEPT (pick-wt=10): 713 [copy,712,demod,653,669] number_number_of_int(bit1(A))=hAPP_int_int(plus_plus_int(one_one_int),bit0(number_number_of_int(A))).
% 5.71/5.75 ** KEPT (pick-wt=13): 715 [copy,714,flip.1] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A))),number267125858f_real(A))=number267125858f_real(bit1(A)).
% 5.71/5.75 ---> New Demodulator: 716 [new_demod,715] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A))),number267125858f_real(A))=number267125858f_real(bit1(A)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,624] one_one_int=one_one_int.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,651] one_one_nat=one_one_nat.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,627] one_one_real=one_one_real.
% 5.71/5.75 ** KEPT (pick-wt=11): 717 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 5.71/5.75 ** KEPT (pick-wt=12): 719 [copy,718,demod,708,624] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(power_power_int(bit0(one_one_int)),A))).
% 5.71/5.75 ** KEPT (pick-wt=14): 720 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),A))).
% 5.71/5.75 ** KEPT (pick-wt=9): 722 [copy,721,demod,708,624,flip.1] hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit0(bit1(pls))))=bit0(one_one_int).
% 5.71/5.75 ---> New Demodulator: 723 [new_demod,722] hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit0(bit1(pls))))=bit0(one_one_int).
% 5.71/5.75 ** KEPT (pick-wt=11): 725 [copy,724,flip.1] hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls))))=number_number_of_int(bit1(bit1(pls))).
% 5.71/5.75 ---> New Demodulator: 726 [new_demod,725] hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(bit1(bit1(pls))))=number_number_of_int(bit1(bit1(pls))).
% 5.71/5.75 ** KEPT (pick-wt=9): 728 [copy,727,demod,661,661] A=zero_zero_nat|hAPP_nat_int(power_power_int(pls),A)=pls.
% 5.71/5.75 ** KEPT (pick-wt=9): 729 [] A=zero_zero_nat|hAPP_nat_nat(power_power_nat(zero_zero_nat),A)=zero_zero_nat.
% 5.71/5.75 ** KEPT (pick-wt=9): 730 [] A=zero_zero_nat|hAPP_nat_real(power_power_real(zero_zero_real),A)=zero_zero_real.
% 5.71/5.75 ** KEPT (pick-wt=7): 732 [copy,731,demod,661,669] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),bit0(one_one_int))).
% 5.71/5.75 ** KEPT (pick-wt=9): 734 [copy,733,demod,616] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))).
% 5.71/5.75 ** KEPT (pick-wt=9): 736 [copy,735,demod,614] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),number267125858f_real(bit0(bit1(pls))))).
% 5.71/5.75 ** KEPT (pick-wt=6): 737 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)).
% 5.71/5.75 ** KEPT (pick-wt=4): 738 [] number_number_of_int(A)=A.
% 5.71/5.75 ---> New Demodulator: 739 [new_demod,738] number_number_of_int(A)=A.
% 5.71/5.75 ** KEPT (pick-wt=15): 740 [] A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.71/5.75 ** KEPT (pick-wt=9): 741 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(B),A).
% 5.71/5.75 ** KEPT (pick-wt=15): 742 [] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(A),C)).
% 5.71/5.75 ** KEPT (pick-wt=15): 743 [] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A),B)),C)=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 5.71/5.75 ---> New Demodulator: 744 [new_demod,743] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(plus_plus_nat(A),B)),C)=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 5.71/5.75 Following clause subsumed by 740 during input processing: 0 [] A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.71/5.75 Following clause subsumed by 740 during input processing: 0 [factor_simp] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))|A=B|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B),A)).
% 5.71/5.75 ** KEPT (pick-wt=9): 745 [] A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.75 Following clause subsumed by 745 during input processing: 0 [] A=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A)).
% 5.71/5.75 ** KEPT (pick-wt=15): 746 [] A=B|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)).
% 5.71/5.75 Following clause subsumed by 629 during input processing: 0 [] A=B|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.71/5.75 ** KEPT (pick-wt=6): 747 [] hAPP_nat_nat(plus_plus_nat(A),zero_zero_nat)=A.
% 5.71/5.75 ---> New Demodulator: 748 [new_demod,747] hAPP_nat_nat(plus_plus_nat(A),zero_zero_nat)=A.
% 5.71/5.75 ** KEPT (pick-wt=6): 749 [] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A)=A.
% 5.71/5.75 ---> New Demodulator: 750 [new_demod,749] hAPP_nat_nat(plus_plus_nat(zero_zero_nat),A)=A.
% 5.71/5.75 ** KEPT (pick-wt=6): 751 [] hAPP_nat_real(power_power_real(A),one_one_nat)=A.
% 5.71/5.75 ---> New Demodulator: 752 [new_demod,751] hAPP_nat_real(power_power_real(A),one_one_nat)=A.
% 5.71/5.75 ** KEPT (pick-wt=6): 753 [] hAPP_nat_nat(power_power_nat(A),one_one_nat)=A.
% 5.71/5.75 ---> New Demodulator: 754 [new_demod,753] hAPP_nat_nat(power_power_nat(A),one_one_nat)=A.
% 5.71/5.75 ** KEPT (pick-wt=6): 755 [] hAPP_nat_int(power_power_int(A),one_one_nat)=A.
% 5.71/5.75 ---> New Demodulator: 756 [new_demod,755] hAPP_nat_int(power_power_int(A),one_one_nat)=A.
% 5.71/5.75 ** KEPT (pick-wt=13): 758 [copy,757,flip.2] hBOOL(A)|hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(if_nat(A,B),C))=hAPP_nat_int(semiri1621563631at_int,C).
% 5.71/5.75 ** KEPT (pick-wt=6): 759 [] hAPP_nat_real(power_power_real(one_one_real),A)=one_one_real.
% 5.71/5.75 ---> New Demodulator: 760 [new_demod,759] hAPP_nat_real(power_power_real(one_one_real),A)=one_one_real.
% 5.71/5.75 ** KEPT (pick-wt=6): 761 [] hAPP_nat_nat(power_power_nat(one_one_nat),A)=one_one_nat.
% 5.71/5.75 ---> New Demodulator: 762 [new_demod,761] hAPP_nat_nat(power_power_nat(one_one_nat),A)=one_one_nat.
% 5.71/5.75 ** KEPT (pick-wt=6): 763 [] hAPP_nat_int(power_power_int(one_one_int),A)=one_one_int.
% 5.71/5.75 ---> New Demodulator: 764 [new_demod,763] hAPP_nat_int(power_power_int(one_one_int),A)=one_one_int.
% 5.71/5.75 ** KEPT (pick-wt=15): 766 [copy,765,flip.1] hAPP_real_real(plus_plus_real(hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B))=hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(plus_plus_nat(A),B)).
% 5.71/5.75 ---> New Demodulator: 767 [new_demod,766] hAPP_real_real(plus_plus_real(hAPP_nat_real(semiri132038758t_real,A)),hAPP_nat_real(semiri132038758t_real,B))=hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(plus_plus_nat(A),B)).
% 5.71/5.75 ** KEPT (pick-wt=15): 769 [copy,768,flip.1] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B))=hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(plus_plus_nat(A),B)).
% 5.71/5.75 ---> New Demodulator: 770 [new_demod,769] hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(semiri984289939at_nat,A)),hAPP_nat_nat(semiri984289939at_nat,B))=hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(plus_plus_nat(A),B)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,642] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 5.71/5.75 ** KEPT (pick-wt=5): 771 [] hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real.
% 5.71/5.75 ---> New Demodulator: 772 [new_demod,771] hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real.
% 5.71/5.75 ** KEPT (pick-wt=5): 773 [] hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat.
% 5.71/5.75 ---> New Demodulator: 774 [new_demod,773] hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,644] one_one_int=one_one_int.
% 5.71/5.75 ** KEPT (pick-wt=13): 776 [copy,775,flip.1] hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,A)),B)=hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(A),B)).
% 5.71/5.75 ---> New Demodulator: 777 [new_demod,776] hAPP_nat_real(power_power_real(hAPP_nat_real(semiri132038758t_real,A)),B)=hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(power_power_nat(A),B)).
% 5.71/5.75 ** KEPT (pick-wt=13): 779 [copy,778,flip.1] hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,A)),B)=hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(A),B)).
% 5.71/5.75 ---> New Demodulator: 780 [new_demod,779] hAPP_nat_nat(power_power_nat(hAPP_nat_nat(semiri984289939at_nat,A)),B)=hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(power_power_nat(A),B)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,636] hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,644] one_one_int=one_one_int.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,642] hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B))=hAPP_int_int(plus_plus_int(hAPP_nat_int(semiri1621563631at_int,A)),hAPP_nat_int(semiri1621563631at_int,B)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,636] hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B)=hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,A)),B).
% 5.71/5.75 ** KEPT (pick-wt=6): 781 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 5.71/5.75 ** KEPT (pick-wt=6): 782 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 5.71/5.75 ** KEPT (pick-wt=6): 784 [copy,783,demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),one_one_int)).
% 5.71/5.75 ** KEPT (pick-wt=9): 785 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),hAPP_real_real(plus_plus_real(A),one_one_real))).
% 5.71/5.75 ** KEPT (pick-wt=9): 786 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),hAPP_nat_nat(plus_plus_nat(A),one_one_nat))).
% 5.71/5.75 ** KEPT (pick-wt=9): 787 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(plus_plus_int(A),one_one_int))).
% 5.71/5.75 ** KEPT (pick-wt=6): 788 [] hAPP_nat_real(power_power_real(A),zero_zero_nat)=one_one_real.
% 5.71/5.75 ---> New Demodulator: 789 [new_demod,788] hAPP_nat_real(power_power_real(A),zero_zero_nat)=one_one_real.
% 5.71/5.75 ** KEPT (pick-wt=6): 790 [] hAPP_nat_nat(power_power_nat(A),zero_zero_nat)=one_one_nat.
% 5.71/5.75 ---> New Demodulator: 791 [new_demod,790] hAPP_nat_nat(power_power_nat(A),zero_zero_nat)=one_one_nat.
% 5.71/5.75 ** KEPT (pick-wt=6): 792 [] hAPP_nat_int(power_power_int(A),zero_zero_nat)=one_one_int.
% 5.71/5.75 ---> New Demodulator: 793 [new_demod,792] hAPP_nat_int(power_power_int(A),zero_zero_nat)=one_one_int.
% 5.71/5.75 ** KEPT (pick-wt=5): 794 [] hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real.
% 5.71/5.75 ---> New Demodulator: 795 [new_demod,794] hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real.
% 5.71/5.75 ** KEPT (pick-wt=5): 796 [] hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat.
% 5.71/5.75 ---> New Demodulator: 797 [new_demod,796] hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,648,661,661] pls=pls.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,648,661] pls=pls.
% 5.71/5.75 Following clause subsumed by 734 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),number_number_of_nat(bit0(bit1(pls))))).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,789] one_one_real=one_one_real.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,791] one_one_nat=one_one_nat.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,793] one_one_int=one_one_int.
% 5.71/5.75 ** KEPT (pick-wt=21): 798 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A),B)),hAPP_real_real(plus_plus_real(C),D))=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A),C)),hAPP_real_real(plus_plus_real(B),D)).
% 5.71/5.75 ** KEPT (pick-wt=21): 800 [copy,799,demod,744,744] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(C),D)))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(C),hAPP_nat_nat(plus_plus_nat(B),D))).
% 5.71/5.75 ** KEPT (pick-wt=21): 802 [copy,801,demod,653,653] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(C),D)))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(C),hAPP_int_int(plus_plus_int(B),D))).
% 5.71/5.75 ** KEPT (pick-wt=15): 803 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A),C)),B).
% 5.71/5.75 ** KEPT (pick-wt=15): 805 [copy,804,demod,744,744] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(C),B)).
% 5.71/5.75 ** KEPT (pick-wt=15): 807 [copy,806,demod,653,653] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(C),B)).
% 5.71/5.75 ** KEPT (pick-wt=15): 808 [] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C)).
% 5.71/5.75 ---> New Demodulator: 809 [new_demod,808] hAPP_real_real(plus_plus_real(hAPP_real_real(plus_plus_real(A),B)),C)=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,744] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,653] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,809] hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,744] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,653] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,809] hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,744] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C)).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,653] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C)).
% 5.71/5.75 ** KEPT (pick-wt=15): 810 [] hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(B),hAPP_real_real(plus_plus_real(A),C)).
% 5.71/5.75 Following clause subsumed by 742 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(A),C)).
% 5.71/5.75 Following clause subsumed by 654 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(A),C)).
% 5.71/5.75 ** KEPT (pick-wt=9): 811 [] hAPP_real_real(plus_plus_real(A),B)=hAPP_real_real(plus_plus_real(B),A).
% 5.71/5.75 Following clause subsumed by 741 during input processing: 0 [] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(B),A).
% 5.71/5.75 Following clause subsumed by 655 during input processing: 0 [] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(B),A).
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,677] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,748] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,663] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,677] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,748] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,663] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,677] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,748] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,663] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,674] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,750] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,665] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,674] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,750] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,665] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,674] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,750] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,661,665] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,752] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,754] A=A.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [demod,756] A=A.
% 5.71/5.75 ** KEPT (pick-wt=6): 812 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),t)).
% 5.71/5.75 ** KEPT (pick-wt=15): 814 [copy,813,flip.2] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|number_number_of_nat(succ(A))=hAPP_nat_nat(plus_plus_nat(number_number_of_nat(A)),one_one_nat).
% 5.71/5.75 ** KEPT (pick-wt=15): 816 [copy,815,flip.2] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),pls))|number_number_of_nat(succ(A))=hAPP_nat_nat(plus_plus_nat(one_one_nat),number_number_of_nat(A)).
% 5.71/5.75 ** KEPT (pick-wt=6): 817 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 5.71/5.75 Following clause subsumed by 817 during input processing: 0 [demod,661,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 5.71/5.75 ** KEPT (pick-wt=6): 818 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),A)).
% 5.71/5.75 ** KEPT (pick-wt=12): 819 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 5.71/5.75 ** KEPT (pick-wt=6): 820 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),one_one_real)).
% 5.71/5.75 ** KEPT (pick-wt=6): 821 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 5.71/5.75 ** KEPT (pick-wt=6): 823 [copy,822,demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),one_one_int)).
% 5.71/5.75 ** KEPT (pick-wt=16): 824 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,number267125858f_real(A)),number267125858f_real(B)))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,number267125858f_real(B)),number267125858f_real(A))).
% 5.71/5.75 ** KEPT (pick-wt=16): 825 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,number_number_of_nat(A)),number_number_of_nat(B)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,number_number_of_nat(B)),number_number_of_nat(A))).
% 5.71/5.75 ** KEPT (pick-wt=12): 827 [copy,826,demod,739,739,739,739] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)).
% 5.71/5.75 ** KEPT (pick-wt=8): 828 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,A))).
% 5.71/5.75 ** KEPT (pick-wt=8): 829 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,A))).
% 5.71/5.75 ** KEPT (pick-wt=8): 831 [copy,830,demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_nat_int(semiri1621563631at_int,A))).
% 5.71/5.75 Following clause subsumed by 828 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,A))).
% 5.71/5.75 Following clause subsumed by 829 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,A))).
% 5.71/5.75 Following clause subsumed by 831 during input processing: 0 [demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_nat_int(semiri1621563631at_int,A))).
% 5.71/5.75 Following clause subsumed by 823 during input processing: 0 [demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),one_one_int)).
% 5.71/5.75 Following clause subsumed by 831 during input processing: 0 [demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_nat_int(semiri1621563631at_int,A))).
% 5.71/5.75 ** KEPT (pick-wt=13): 833 [copy,832,demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),$f8(A)))|hBOOL(hAPP_int_bool(A,hAPP_nat_int(semiri1621563631at_int,B))).
% 5.71/5.75 Following clause subsumed by 831 during input processing: 0 [demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_nat_int(semiri1621563631at_int,A))).
% 5.71/5.75 ** KEPT (pick-wt=5): 834 [] succ(pls)=bit1(pls).
% 5.71/5.75 ---> New Demodulator: 835 [new_demod,834] succ(pls)=bit1(pls).
% 5.71/5.75 ** KEPT (pick-wt=6): 836 [] succ(bit0(A))=bit1(A).
% 5.71/5.75 ---> New Demodulator: 837 [new_demod,836] succ(bit0(A))=bit1(A).
% 5.71/5.75 ** KEPT (pick-wt=7): 838 [] succ(bit1(A))=bit0(succ(A)).
% 5.71/5.75 ---> New Demodulator: 839 [new_demod,838] succ(bit1(A))=bit0(succ(A)).
% 5.71/5.75 ** KEPT (pick-wt=7): 840 [] succ(A)=hAPP_int_int(plus_plus_int(A),one_one_int).
% 5.71/5.75 ---> New Demodulator: 841 [new_demod,840] succ(A)=hAPP_int_int(plus_plus_int(A),one_one_int).
% 5.71/5.75 ** KEPT (pick-wt=8): 843 [copy,842,demod,661,739] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit1(bit1(pls)))).
% 5.71/5.75 ** KEPT (pick-wt=11): 845 [copy,844,demod,841] number267125858f_real(hAPP_int_int(plus_plus_int(A),one_one_int))=hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A)).
% 5.71/5.75 Following clause subsumed by 655 during input processing: 0 [demod,841,739,739] hAPP_int_int(plus_plus_int(A),one_one_int)=hAPP_int_int(plus_plus_int(one_one_int),A).
% 5.71/5.75 ** KEPT (pick-wt=15): 847 [copy,846,demod,841] hAPP_int_int(plus_plus_int(bit1(A)),bit1(B))=bit0(hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),one_one_int))).
% 5.71/5.75 ** KEPT (pick-wt=8): 849 [copy,848,demod,661,739] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),bit0(bit1(pls)))).
% 5.71/5.75 ** KEPT (pick-wt=12): 850 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.75 ** KEPT (pick-wt=12): 851 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.75 ** KEPT (pick-wt=12): 853 [copy,852,demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.75 ** KEPT (pick-wt=12): 855 [copy,854,demod,661,739] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))|hAPP_nat_real(semiri132038758t_real,number_number_of_nat(A))=zero_zero_real.
% 5.71/5.75 ** KEPT (pick-wt=12): 857 [copy,856,demod,661,739,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),A))|hAPP_nat_int(semiri1621563631at_int,number_number_of_nat(A))=pls.
% 5.71/5.75 ** KEPT (pick-wt=21): 858 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls))))))).
% 5.71/5.75 ** KEPT (pick-wt=21): 860 [copy,859,demod,661] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls))))))).
% 5.71/5.75 Following clause subsumed by 818 during input processing: 0 [demod,661,739] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 5.71/5.75 ** KEPT (pick-wt=6): 861 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A)).
% 5.71/5.75 Following clause subsumed by 861 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A)).
% 5.71/5.75 ** KEPT (pick-wt=6): 862 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),A)).
% 5.71/5.75 ** KEPT (pick-wt=12): 863 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A)).
% 5.71/5.75 ** KEPT (pick-wt=9): 864 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(plus_plus_nat(B),A))).
% 5.71/5.75 ** KEPT (pick-wt=9): 865 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),hAPP_nat_nat(plus_plus_nat(A),B))).
% 5.71/5.75 ** KEPT (pick-wt=12): 866 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(power_power_real(number267125858f_real(bit0(bit1(pls)))),A))).
% 5.71/5.75 ** KEPT (pick-wt=28): 867 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,$f17(A,B,C)),$f16(A,B,C)))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(plus_plus_nat(hAPP_nat_nat(C,A)),B)),hAPP_nat_nat(C,hAPP_nat_nat(plus_plus_nat(A),B)))).
% 5.71/5.75 ** KEPT (pick-wt=6): 868 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),A)).
% 5.71/5.75 ** KEPT (pick-wt=12): 869 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A)).
% 5.71/5.75 Following clause subsumed by 868 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),A)).
% 5.71/5.75 Following clause subsumed by 862 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),A)).
% 5.71/5.75 Following clause subsumed by 818 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),A)).
% 5.71/5.75 Following clause subsumed by 869 during input processing: 0 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A)).
% 5.71/5.75 Following clause subsumed by 863 during input processing: 0 [] hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B),A)).
% 5.71/5.75 Following clause subsumed by 819 during input processing: 0 [] hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)).
% 5.71/5.75 ** KEPT (pick-wt=22): 870 [] hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),sqrt(hAPP_real_real(plus_plus_real(hAPP_nat_real(power_power_real(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_real(power_power_real(B),number_number_of_nat(bit0(bit1(pls)))))))).
% 5.71/5.75 ** KEPT (pick-wt=36): 872 [copy,871,demod,739,653] hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(bit1(pls))))=hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(times_times_int(times_times_int(bit0(bit1(pls)),A),B)),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.75 ---> New Demodulator: 873 [new_demod,872] hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(A),B)),number_number_of_nat(bit0(bit1(pls))))=hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(A),number_number_of_nat(bit0(bit1(pls))))),hAPP_int_int(plus_plus_int(times_times_int(times_times_int(bit0(bit1(pls)),A),B)),hAPP_nat_int(power_power_int(B),number_number_of_nat(bit0(bit1(pls)))))).
% 5.71/5.75 ** KEPT (pick-wt=12): 875 [copy,874,flip.1] hAPP_int_int(plus_plus_int(bit0(times_times_int(A,B))),B)=times_times_int(bit1(A),B).
% 5.71/5.75 ---> New Demodulator: 876 [new_demod,875] hAPP_int_int(plus_plus_int(bit0(times_times_int(A,B))),B)=times_times_int(bit1(A),B).
% 5.71/5.75 ** KEPT (pick-wt=7): 877 [] hAPP_nat_nat(if_nat(fTrue,A),B)=A.
% 5.71/5.75 ---> New Demodulator: 878 [new_demod,877] hAPP_nat_nat(if_nat(fTrue,A),B)=A.
% 5.71/5.75 ** KEPT (pick-wt=7): 879 [] hAPP_nat_nat(if_nat(fFalse,A),B)=B.
% 5.71/5.75 ---> New Demodulator: 880 [new_demod,879] hAPP_nat_nat(if_nat(fFalse,A),B)=B.
% 5.71/5.75 ** KEPT (pick-wt=25): 882 [copy,881,demod,873,764,661] hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(times_times_int(times_times_int(bit0(bit1(pls)),one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,n)),number_number_of_nat(bit0(bit1(pls))))))=pls.
% 5.71/5.75 ---> New Demodulator: 883 [new_demod,882] hAPP_int_int(plus_plus_int(one_one_int),hAPP_int_int(plus_plus_int(times_times_int(times_times_int(bit0(bit1(pls)),one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_nat_int(power_power_int(hAPP_nat_int(semiri1621563631at_int,n)),number_number_of_nat(bit0(bit1(pls))))))=pls.
% 5.71/5.75 Following clause subsumed by 583 during input processing: 0 [copy,583,flip.1] A=A.
% 5.71/5.75 583 back subsumes 579.
% 5.71/5.75 583 back subsumes 576.
% 5.71/5.75 583 back subsumes 573.
% 5.71/5.75 583 back subsumes 572.
% 5.71/5.75 583 back subsumes 571.
% 5.71/5.75 583 back subsumes 566.
% 5.71/5.75 583 back subsumes 565.
% 5.71/5.75 583 back subsumes 564.
% 5.71/5.75 583 back subsumes 556.
% 5.71/5.75 >>>> Starting back demodulation with 592.
% 5.71/5.75 >>>> Starting back demodulation with 594.
% 5.71/5.75 >>>> Starting back demodulation with 596.
% 5.71/5.75 >>>> Starting back demodulation with 598.
% 5.71/5.75 >>>> Starting back demodulation with 600.
% 5.71/5.75 >>>> Starting back demodulation with 602.
% 5.71/5.75 >>>> Starting back demodulation with 605.
% 5.71/5.75 ** KEPT (pick-wt=12): 884 [copy,606,flip.1] number267125858f_real(hAPP_int_int(plus_plus_int(bit1(pls)),A))=hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A)).
% 5.71/5.76 >>>> Starting back demodulation with 608.
% 5.71/5.76 >> back demodulating 406 with 608.
% 5.71/5.76 >>>> Starting back demodulation with 610.
% 5.71/5.76 >> back demodulating 402 with 610.
% 5.71/5.76 >>>> Starting back demodulation with 612.
% 5.71/5.76 >>>> Starting back demodulation with 614.
% 5.71/5.76 >>>> Starting back demodulation with 616.
% 5.71/5.76 >>>> Starting back demodulation with 618.
% 5.71/5.76 >>>> Starting back demodulation with 624.
% 5.71/5.76 >>>> Starting back demodulation with 627.
% 5.71/5.76 Following clause subsumed by 583 during input processing: 0 [copy,630,flip.1,demod,739,739,739] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(A),B).
% 5.71/5.76 630 back subsumes 569.
% 5.71/5.76 630 back subsumes 448.
% 5.71/5.76 >>>> Starting back demodulation with 633.
% 5.71/5.76 >>>> Starting back demodulation with 636.
% 5.71/5.76 >>>> Starting back demodulation with 639.
% 5.71/5.76 >>>> Starting back demodulation with 642.
% 5.71/5.76 >> back demodulating 638 with 642.
% 5.71/5.76 >>>> Starting back demodulation with 644.
% 5.71/5.76 >>>> Starting back demodulation with 646.
% 5.71/5.76 >> back demodulating 577 with 646.
% 5.71/5.76 >> back demodulating 546 with 646.
% 5.71/5.76 >>>> Starting back demodulation with 648.
% 5.71/5.76 >>>> Starting back demodulation with 651.
% 5.71/5.76 >>>> Starting back demodulation with 653.
% 5.71/5.76 >> back demodulating 106 with 653.
% 5.71/5.76 >> back demodulating 82 with 653.
% 5.71/5.76 >> back demodulating 81 with 653.
% 5.71/5.76 Following clause subsumed by 654 during input processing: 0 [copy,654,flip.1] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(A),C)).
% 5.71/5.76 Following clause subsumed by 655 during input processing: 0 [copy,655,flip.1] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(B),A).
% 5.71/5.76 >>>> Starting back demodulation with 658.
% 5.71/5.76 >>>> Starting back demodulation with 661.
% 5.71/5.76 >> back demodulating 656 with 661.
% 5.71/5.76 >> back demodulating 647 with 661.
% 5.71/5.76 >> back demodulating 632 with 661.
% 5.71/5.76 >> back demodulating 619 with 661.
% 5.71/5.76 >> back demodulating 597 with 661.
% 5.71/5.76 >> back demodulating 589 with 661.
% 5.71/5.76 >> back demodulating 575 with 661.
% 5.71/5.76 >> back demodulating 563 with 661.
% 5.71/5.76 >> back demodulating 562 with 661.
% 5.71/5.76 >> back demodulating 540 with 661.
% 5.71/5.76 >> back demodulating 538 with 661.
% 5.71/5.76 >> back demodulating 499 with 661.
% 5.71/5.76 >> back demodulating 473 with 661.
% 5.71/5.76 >> back demodulating 471 with 661.
% 5.71/5.76 >> back demodulating 469 with 661.
% 5.71/5.76 >> back demodulating 468 with 661.
% 5.71/5.76 >> back demodulating 467 with 661.
% 5.71/5.76 >> back demodulating 466 with 661.
% 5.71/5.76 >> back demodulating 465 with 661.
% 5.71/5.76 >> back demodulating 464 with 661.
% 5.71/5.76 >> back demodulating 460 with 661.
% 5.71/5.76 >> back demodulating 459 with 661.
% 5.71/5.76 >> back demodulating 458 with 661.
% 5.71/5.76 >> back demodulating 455 with 661.
% 5.71/5.76 >> back demodulating 452 with 661.
% 5.71/5.76 >> back demodulating 449 with 661.
% 5.71/5.76 >> back demodulating 445 with 661.
% 5.71/5.76 >> back demodulating 438 with 661.
% 5.71/5.76 >> back demodulating 437 with 661.
% 5.71/5.76 >> back demodulating 436 with 661.
% 5.71/5.76 >> back demodulating 435 with 661.
% 5.71/5.76 >> back demodulating 422 with 661.
% 5.71/5.76 >> back demodulating 419 with 661.
% 5.71/5.76 >> back demodulating 417 with 661.
% 5.71/5.76 >> back demodulating 415 with 661.
% 5.71/5.76 >> back demodulating 413 with 661.
% 5.71/5.76 >> back demodulating 391 with 661.
% 5.71/5.76 >> back demodulating 388 with 661.
% 5.71/5.76 >> back demodulating 387 with 661.
% 5.71/5.76 >> back demodulating 375 with 661.
% 5.71/5.76 >> back demodulating 372 with 661.
% 5.71/5.76 >> back demodulating 366 with 661.
% 5.71/5.76 >> back demodulating 357 with 661.
% 5.71/5.76 >> back demodulating 354 with 661.
% 5.71/5.76 >> back demodulating 351 with 661.
% 5.71/5.76 >> back demodulating 348 with 661.
% 5.71/5.76 >> back demodulating 347 with 661.
% 5.71/5.76 >> back demodulating 346 with 661.
% 5.71/5.76 >> back demodulating 339 with 661.
% 5.71/5.76 >> back demodulating 338 with 661.
% 5.71/5.76 >> back demodulating 335 with 661.
% 5.71/5.76 >> back demodulating 334 with 661.
% 5.71/5.76 >> back demodulating 317 with 661.
% 5.71/5.76 >> back demodulating 314 with 661.
% 5.71/5.76 >> back demodulating 313 with 661.
% 5.71/5.76 >> back demodulating 310 with 661.
% 5.71/5.76 >> back demodulating 309 with 661.
% 5.71/5.76 >> back demodulating 262 with 661.
% 5.71/5.76 >> back demodulating 250 with 661.
% 5.71/5.76 >> back demodulating 248 with 661.
% 5.71/5.76 >> back demodulating 226 with 661.
% 5.71/5.76 >> back demodulating 225 with 661.
% 5.71/5.76 >> back demodulating 220 with 661.
% 5.71/5.76 >> back demodulating 219 with 661.
% 5.71/5.76 >> back demodulating 211 with 661.
% 5.71/5.76 >> back demodulating 209 with 661.
% 5.71/5.76 >> back demodulating 207 with 661.
% 5.71/5.76 >> back demodulating 206 with 661.
% 5.71/5.76 >> back demodulating 188 with 661.
% 5.71/5.76 >> back demodulating 186 with 661.
% 5.71/5.76 >> back demodulating 184 with 661.
% 5.71/5.76 >> back demodulating 178 with 661.
% 5.71/5.76 >> back demodulating 127 with 661.
% 5.71/5.76 >> back demodulating 124 with 661.
% 5.71/5.76 >> back demodulating 116 with 661.
% 5.71/5.76 >> back demodulating 115 with 661.
% 5.71/5.76 >> back demodulating 113 with 661.
% 5.71/5.76 >> back demodulating 111 with 661.
% 5.71/5.76 >> back demodulating 109 with 661.
% 5.71/5.76 >> back demodulating 107 with 661.
% 5.71/5.76 >> back demodulating 96 with 661.
% 5.71/5.76 >> back demodulating 84 with 661.
% 5.71/5.76 >> back demodulating 83 with 661.
% 5.71/5.76 >> back demodulating 72 with 661.
% 5.71/5.76 >> back demodulating 68 with 661.
% 5.71/5.76 >> back demodulating 67 with 661.
% 5.71/5.76 >> back demodulating 66 with 661.
% 5.71/5.76 >> back demodulating 65 with 661.
% 5.71/5.76 >> back demodulating 64 with 661.
% 5.71/5.76 >> back demodulating 53 with 661.
% 5.71/5.76 >> back demodulating 52 with 661.
% 5.71/5.76 >> back demodulating 49 with 661.
% 5.71/5.76 >> back demodulating 48 with 661.
% 5.71/5.76 >> back demodulating 43 with 661.
% 5.71/5.76 >> back demodulating 42 with 661.
% 5.71/5.76 >> back demodulating 19 with 661.
% 5.71/5.76 >> back demodulating 18 with 661.
% 5.71/5.76 >> back demodulating 8 with 661.
% 5.71/5.76 >> back demodulating 3 with 661.
% 5.71/5.76 >> back demodulating 2 with 661.
% 5.71/5.76 >> back demodulating 1 with 661.
% 5.71/5.76 >>>> Starting back demodulation with 663.
% 5.71/5.76 >>>> Starting back demodulation with 665.
% 5.71/5.76 ** KEPT (pick-wt=12): 964 [copy,666,flip.1] bit0(hAPP_int_int(plus_plus_int(A),B))=hAPP_int_int(plus_plus_int(bit0(A)),bit0(B)).
% 5.71/5.76 >>>> Starting back demodulation with 669.
% 5.71/5.76 >> back demodulating 611 with 669.
% 5.71/5.76 >> back demodulating 568 with 669.
% 5.71/5.76 >> back demodulating 567 with 669.
% 5.71/5.76 >> back demodulating 554 with 669.
% 5.71/5.76 >> back demodulating 550 with 669.
% 5.71/5.76 >>>> Starting back demodulation with 671.
% 5.71/5.76 >>>> Starting back demodulation with 674.
% 5.71/5.76 >>>> Starting back demodulation with 677.
% 5.71/5.76 >>>> Starting back demodulation with 680.
% 5.71/5.76 >>>> Starting back demodulation with 683.
% 5.71/5.76 Following clause subsumed by 686 during input processing: 0 [copy,684,flip.1] number267125858f_real(hAPP_int_int(plus_plus_int(A),B))=hAPP_real_real(plus_plus_real(number267125858f_real(A)),number267125858f_real(B)).
% 5.71/5.76 684 back subsumes 446.
% 5.71/5.76 Following clause subsumed by 583 during input processing: 0 [copy,685,flip.1,demod,739,739,739] hAPP_int_int(plus_plus_int(A),B)=hAPP_int_int(plus_plus_int(A),B).
% 5.71/5.76 Following clause subsumed by 684 during input processing: 0 [copy,686,flip.1] hAPP_real_real(plus_plus_real(number267125858f_real(A)),number267125858f_real(B))=number267125858f_real(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.76 ** KEPT (pick-wt=12): 968 [copy,687,flip.1] bit1(hAPP_int_int(plus_plus_int(A),B))=hAPP_int_int(plus_plus_int(bit1(A)),bit0(B)).
% 5.71/5.76 ** KEPT (pick-wt=12): 969 [copy,688,flip.1] bit1(hAPP_int_int(plus_plus_int(A),B))=hAPP_int_int(plus_plus_int(bit0(A)),bit1(B)).
% 5.71/5.76 ** KEPT (pick-wt=8): 970 [copy,690,flip.1] hAPP_int_int(plus_plus_int(one_one_int),bit0(A))=bit1(A).
% 5.71/5.76 >>>> Starting back demodulation with 692.
% 5.71/5.76 >>>> Starting back demodulation with 694.
% 5.71/5.76 >>>> Starting back demodulation with 696.
% 5.71/5.76 >>>> Starting back demodulation with 708.
% 5.71/5.76 >>>> Starting back demodulation with 711.
% 5.71/5.76 Following clause subsumed by 970 during input processing: 0 [copy,713,flip.1,demod,739,739] hAPP_int_int(plus_plus_int(one_one_int),bit0(A))=bit1(A).
% 5.71/5.76 >>>> Starting back demodulation with 716.
% 5.71/5.76 >>>> Starting back demodulation with 723.
% 5.71/5.76 >>>> Starting back demodulation with 726.
% 5.71/5.76 729 back subsumes 620.
% 5.71/5.76 730 back subsumes 621.
% 5.71/5.76 >>>> Starting back demodulation with 739.
% 5.71/5.76 >> back demodulating 725 with 739.
% 5.71/5.76 >> back demodulating 713 with 739.
% 5.71/5.76 >> back demodulating 707 with 739.
% 5.71/5.76 >> back demodulating 693 with 739.
% 5.71/5.76 >> back demodulating 685 with 739.
% 5.71/5.76 >> back demodulating 679 with 739.
% 5.71/5.76 >> back demodulating 630 with 739.
% 5.71/5.76 >> back demodulating 623 with 739.
% 5.71/5.76 >> back demodulating 607 with 739.
% 5.71/5.76 >> back demodulating 604 with 739.
% 5.71/5.76 >> back demodulating 400 with 739.
% 5.71/5.76 >> back demodulating 369 with 739.
% 5.71/5.76 >> back demodulating 331 with 739.
% 5.71/5.76 >> back demodulating 330 with 739.
% 5.71/5.76 >> back demodulating 327 with 739.
% 5.71/5.76 >> back demodulating 326 with 739.
% 5.71/5.76 >> back demodulating 297 with 739.
% 5.71/5.76 >> back demodulating 296 with 739.
% 5.71/5.76 >> back demodulating 78 with 739.
% 5.71/5.76 >> back demodulating 77 with 739.
% 5.71/5.76 >> back demodulating 74 with 739.
% 5.71/5.76 >> back demodulating 73 with 739.
% 5.71/5.76 >> back demodulating 35 with 739.
% 5.71/5.76 >> back demodulating 34 with 739.
% 5.71/5.76 >> back demodulating 29 with 739.
% 5.71/5.76 >> back demodulating 28 with 739.
% 5.71/5.76 >> back demodulating 15 with 739.
% 5.71/5.76 >> back demodulating 14 with 739.
% 5.71/5.76 Following clause subsumed by 741 during input processing: 0 [copy,741,flip.1] hAPP_nat_nat(plus_plus_nat(A),B)=hAPP_nat_nat(plus_plus_nat(B),A).
% 5.71/5.76 Following clause subsumed by 742 during input processing: 0 [copy,742,flip.1] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(A),C)).
% 5.71/5.76 >>>> Starting back demodulation with 744.
% 5.71/5.76 >>>> Starting back demodulation with 748.
% 5.71/5.76 >>>> Starting back demodulation with 750.
% 5.71/5.76 >>>> Starting back demodulation with 752.
% 5.71/5.76 >>>> Starting back demodulation with 754.
% 5.71/5.76 >> back demodulating 558 with 754.
% 5.71/5.76 >> back demodulating 555 with 754.
% 5.71/5.76 >> back demodulating 548 with 754.
% 5.71/5.76 >> back demodulating 543 with 754.
% 5.71/5.76 >>>> Starting back demodulation with 756.
% 5.71/5.76 >>>> Starting back demodulation with 760.
% 5.71/5.76 >> back demodulating 595 with 760.
% 5.71/5.76 >>>> Starting back demodulation with 762.
% 5.71/5.76 >> back demodulating 593 with 762.
% 5.71/5.76 >>>> Starting back demodulation with 764.
% 5.71/5.76 >> back demodulating 591 with 764.
% 5.71/5.76 >>>> Starting back demodulation with 767.
% 5.71/5.76 >>>> Starting back demodulation with 770.
% 5.71/5.76 >>>> Starting back demodulation with 772.
% 5.71/5.76 >>>> Starting back demodulation with 774.
% 5.71/5.76 >>>> Starting back demodulation with 777.
% 5.71/5.76 >>>> Starting back demodulation with 780.
% 5.71/5.76 >>>> Starting back demodulation with 789.
% 5.71/5.76 >>>> Starting back demodulation with 791.
% 5.71/5.76 >> back demodulating 557 with 791.
% 5.71/5.76 >> back demodulating 542 with 791.
% 5.71/5.76 >>>> Starting back demodulation with 793.
% 5.71/5.76 >>>> Starting back demodulation with 795.
% 5.71/5.76 >>>> Starting back demodulation with 797.
% 5.71/5.76 ** KEPT (pick-wt=21): 983 [copy,798,flip.1,demod,809,809] hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),hAPP_real_real(plus_plus_real(C),D)))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(C),hAPP_real_real(plus_plus_real(B),D))).
% 5.71/5.76 Following clause subsumed by 800 during input processing: 0 [copy,800,flip.1] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),hAPP_nat_nat(plus_plus_nat(C),D)))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(C),hAPP_nat_nat(plus_plus_nat(B),D))).
% 5.71/5.76 Following clause subsumed by 802 during input processing: 0 [copy,802,flip.1] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),hAPP_int_int(plus_plus_int(C),D)))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(C),hAPP_int_int(plus_plus_int(B),D))).
% 5.71/5.76 ** KEPT (pick-wt=15): 984 [copy,803,flip.1,demod,809,809] hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(C),B)).
% 5.71/5.76 Following clause subsumed by 805 during input processing: 0 [copy,805,flip.1] hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(B),C))=hAPP_nat_nat(plus_plus_nat(A),hAPP_nat_nat(plus_plus_nat(C),B)).
% 5.71/5.76 Following clause subsumed by 807 during input processing: 0 [copy,807,flip.1] hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),C))=hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(C),B)).
% 5.71/5.76 >>>> Starting back demodulation with 809.
% 5.71/5.76 >> back demodulating 803 with 809.
% 5.71/5.76 >> back demodulating 798 with 809.
% 5.71/5.76 >> back demodulating 715 with 809.
% 5.71/5.76 Following clause subsumed by 810 during input processing: 0 [copy,810,flip.1] hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(B),hAPP_real_real(plus_plus_real(A),C)).
% 5.71/5.76 Following clause subsumed by 811 during input processing: 0 [copy,811,flip.1] hAPP_real_real(plus_plus_real(A),B)=hAPP_real_real(plus_plus_real(B),A).
% 5.71/5.76 818 back subsumes 817.
% 5.71/5.76 >>>> Starting back demodulation with 835.
% 5.71/5.76 >>>> Starting back demodulation with 837.
% 5.71/5.76 >>>> Starting back demodulation with 839.
% 5.71/5.76 >>>> Starting back demodulation with 841.
% 5.71/5.76 >> back demodulating 838 with 841.
% 5.71/5.76 >> back demodulating 836 with 841.
% 5.71/5.76 >> back demodulating 834 with 841.
% 5.71/5.76 >> back demodulating 816 with 841.
% 5.71/5.76 >> back demodulating 814 with 841.
% 5.71/5.76 >> back demodulating 404 with 841.
% 5.71/5.76 >> back demodulating 398 with 841.
% 5.71/5.76 >> back demodulating 396 with 841.
% 5.71/5.76 ** KEPT (pick-wt=11): 994 [copy,845,flip.1] hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A))=number267125858f_real(hAPP_int_int(plus_plus_int(A),one_one_int)).
% 5.71/5.76 ** KEPT (pick-wt=15): 995 [copy,847,flip.1] bit0(hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),one_one_int)))=hAPP_int_int(plus_plus_int(bit1(A)),bit1(B)).
% 5.71/5.76 861 back subsumes 829.
% 5.71/5.76 861 back subsumes 821.
% 5.71/5.76 861 back subsumes 371.
% 5.71/5.76 862 back subsumes 561.
% 5.71/5.76 868 back subsumes 560.
% 5.71/5.76 >>>> Starting back demodulation with 873.
% 5.71/5.76 >>>> Starting back demodulation with 876.
% 5.71/5.76 >>>> Starting back demodulation with 878.
% 5.71/5.76 >>>> Starting back demodulation with 880.
% 5.71/5.76 >>>> Starting back demodulation with 883.
% 5.71/5.76 ** KEPT (pick-wt=11): 996 [copy,884,flip.1,demod,974] hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A))=number267125858f_real(hAPP_int_int(plus_plus_int(one_one_int),A)).
% 5.71/5.76 >>>> Starting back demodulation with 892.
% 5.71/5.76 >>>> Starting back demodulation with 894.
% 5.71/5.76 Following clause subsumed by 666 during input processing: 0 [copy,964,flip.1] hAPP_int_int(plus_plus_int(bit0(A)),bit0(B))=bit0(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.76 >>>> Starting back demodulation with 966.
% 5.71/5.76 >> back demodulating 963 with 966.
% 5.71/5.76 >> back demodulating 962 with 966.
% 5.71/5.76 >> back demodulating 961 with 966.
% 5.71/5.76 >> back demodulating 960 with 966.
% 5.71/5.76 >> back demodulating 955 with 966.
% 5.71/5.76 >> back demodulating 954 with 966.
% 5.71/5.76 >> back demodulating 953 with 966.
% 5.71/5.76 >> back demodulating 952 with 966.
% 5.71/5.76 >> back demodulating 909 with 966.
% 5.71/5.76 >> back demodulating 908 with 966.
% 5.71/5.76 >> back demodulating 905 with 966.
% 5.71/5.76 >> back demodulating 904 with 966.
% 5.71/5.76 >> back demodulating 903 with 966.
% 5.71/5.76 >> back demodulating 902 with 966.
% 5.71/5.76 >> back demodulating 898 with 966.
% 5.71/5.76 >> back demodulating 897 with 966.
% 5.71/5.76 >> back demodulating 896 with 966.
% 5.71/5.76 >> back demodulating 893 with 966.
% 5.71/5.76 >> back demodulating 882 with 966.
% 5.71/5.76 >> back demodulating 872 with 966.
% 5.71/5.76 >> back demodulating 870 with 966.
% 5.71/5.76 >> back demodulating 866 with 966.
% 5.71/5.76 >> back demodulating 860 with 966.
% 5.71/5.76 >> back demodulating 858 with 966.
% 5.71/5.76 >> back demodulating 853 with 966.
% 5.71/5.76 >> back demodulating 851 with 966.
% 5.71/5.76 >> back demodulating 850 with 966.
% 5.71/5.76 >> back demodulating 849 with 966.
% 5.71/5.76 >> back demodulating 736 with 966.
% 5.71/5.76 >> back demodulating 734 with 966.
% 5.71/5.76 >> back demodulating 722 with 966.
% 5.71/5.76 >> back demodulating 720 with 966.
% 5.71/5.76 >> back demodulating 705 with 966.
% 5.71/5.76 >> back demodulating 704 with 966.
% 5.71/5.76 >> back demodulating 703 with 966.
% 5.71/5.76 >> back demodulating 701 with 966.
% 5.71/5.76 >> back demodulating 699 with 966.
% 5.71/5.76 >> back demodulating 698 with 966.
% 5.71/5.76 >> back demodulating 617 with 966.
% 5.71/5.76 >> back demodulating 615 with 966.
% 5.71/5.76 >> back demodulating 613 with 966.
% 5.71/5.76 >> back demodulating 601 with 966.
% 5.71/5.76 >> back demodulating 599 with 966.
% 5.71/5.76 >> back demodulating 574 with 966.
% 5.71/5.76 >> back demodulating 541 with 966.
% 5.71/5.76 >> back demodulating 539 with 966.
% 5.71/5.76 >> back demodulating 463 with 966.
% 5.71/5.76 >> back demodulating 462 with 966.
% 5.71/5.76 >> back demodulating 461 with 966.
% 5.71/5.76 >> back demodulating 457 with 966.
% 5.71/5.76 >> back demodulating 456 with 966.
% 5.71/5.76 >> back demodulating 454 with 966.
% 5.71/5.76 >> back demodulating 453 with 966.
% 5.71/5.76 >> back demodulating 114 with 966.
% 5.71/5.76 >> back demodulating 112 with 966.
% 5.71/5.76 >> back demodulating 110 with 966.
% 5.71/5.76 >> back demodulating 108 with 966.
% 5.71/5.76 >> back demodulating 10 with 966.
% 5.71/5.76 >> back demodulating 6 with 966.
% 5.71/5.76 >> back demodulating 5 with 966.
% 5.71/5.76 >> back demodulating 4 with 966.
% 5.71/5.76 Following clause subsumed by 687 during input processing: 0 [copy,968,flip.1] hAPP_int_int(plus_plus_int(bit1(A)),bit0(B))=bit1(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.76 Following clause subsumed by 688 during input processing: 0 [copy,969,flip.1] hAPP_int_int(plus_plus_int(bit0(A)),bit1(B))=bit1(hAPP_int_int(plus_plus_int(A),B)).
% 5.71/5.76 Following clause subsumed by 690 during input processing: 0 [copy,970,flip.1] bit1(A)=hAPP_int_int(plus_plus_int(one_one_int),bit0(A)).
% 5.71/5.76 >>>> Starting back demodulation with 972.
% 5.71/5.76 >>>> Starting back demodulation with 974.
% 5.71/5.76 >> back demodulating 971 with 974.
% 5.71/5.76 >> back demodulating 965 with 974.
% 5.71/5.76 >> back demodulating 885 with 974.
% 5.71/5.76 >> back demodulating 884 with 974.
% 5.71/5.76 >> back demodulating 843 with 974.
% 5.71/5.76 >> back demodulating 650 with 974.
% 5.71/5.76 >> back demodulating 626 with 974.
% 5.71/5.76 >> back demodulating 609 with 974.
% 5.71/5.76 >> back demodulating 606 with 974.
% 5.71/5.76 >> back demodulating 329 with 974.
% 5.71/5.76 >> back demodulating 328 with 974.
% 5.71/5.76 >> back demodulating 325 with 974.
% 5.71/5.76 >> back demodulating 324 with 974.
% 5.71/5.76 >> back demodulating 80 with 974.
% 5.71/5.76 >> back demodulating 79 with 974.
% 5.71/5.76 >> back demodulating 76 with 974.
% 5.71/5.76 >> back demodulating 75 with 974.
% 5.71/5.76 976 back subsumes 939.
% 5.71/5.76 976 back subsumes 938.
% 5.71/5.76 976 back subsumes 240.
% 5.71/5.76 976 back subsumes 239.
% 5.71/5.76 976 back subsumes 238.
% 5.71/5.76 976 back subsumes 237.
% 5.71/5.76 976 back subsumes 236.
% 5.71/5.76 976 back subsumes 235.
% 5.71/5.76 976 back subsumes 224.
% 5.71/5.76 976 back subsumes 223.
% 5.71/5.76 976 back subsumes 222.
% 5.71/5.76 976 back subsumes 221.
% 5.71/5.76 976 back subsumes 37.
% 5.71/5.76 976 back subsumes 36.
% 5.71/5.76 976 back subsumes 33.
% 5.71/5.76 976 back subsumes 32.
% 5.71/5.76 Following clause subsumed by 983 during input processing: 0 [copy,983,flip.1] hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),hAPP_real_real(plus_plus_real(C),D)))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(C),hAPP_real_real(plus_plus_real(B),D))).
% 5.71/5.76 Following clause subsumed by 984 during input processing: 0 [copy,984,flip.1] hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(B),C))=hAPP_real_real(plus_plus_real(A),hAPP_real_real(plus_plus_real(C),B)).
% 5.71/5.76 ** KEPT (pick-wt=10): 1085 [copy,985,flip.1] number267125858f_real(bit1(A))=hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(bit0(A))).
% 5.71/5.76 >>>> Starting back demodulation with 987.
% 5.71/5.76 >>>> Starting back demodulation with 989.
% 5.71/5.76 Following clause subsumed by 845 during input processing: 0 [copy,994,flip.1] number267125858f_real(hAPP_int_int(plus_plus_int(A),one_one_int))=hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A)).
% 5.71/5.76 Following clause subsumed by 847 during input processing: 0 [copy,995,flip.1] hAPP_int_int(plus_plus_int(bit1(A)),bit1(B))=bit0(hAPP_int_int(plus_plus_int(A),hAPP_int_int(plus_plus_int(B),one_one_int))).
% 5.71/5.76 Following clause subsumed by 1069 during input processing: 0 [copy,996,flip.1] number267125858f_real(hAPP_int_int(plus_plus_int(one_one_int),A))=hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A)).
% 5.71/5.76 >>>> Starting back demodulation with 1015.
% 5.71/5.76 >>>> Starting back demodulation with 1017.
% 5.71/5.76 >>>> Starting back demodulation with 1019.
% 5.71/5.76 >>>> Starting back demodulation with 1031.
% 5.71/5.76 >>>> Starting back demodulation with 1040.
% 5.71/5.76 >>>> Starting back demodulation with 1042.
% 5.71/5.76 >>>> Starting back demodulation with 1044.
% 5.71/5.76 >>>> Starting back demodulation with 1046.
% 5.71/5.76 >>>> Starting back demodulation with 1048.
% 5.71/5.76 >>>> Starting back demodulation with 1068.
% 5.71/5.76 Following clause subsumed by 996 during input processing: 0 [copy,1069,flip.1] hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(A))=number267125858f_real(hAPP_int_int(plus_plus_int(one_one_int),A)).
% 5.71/5.76 >>>> Starting back demodulation with 1072.
% 5.71/5.76 >>>> Starting back demodulation with 1074.
% 5.71/5.76 >>>> Starting back demodulation with 1076.
% 5.71/5.76 Following clause subsumed by 985 during input processing: 0 [copy,1085,flip.1] hAPP_real_real(plus_plus_real(one_one_real),number267125858f_real(bit0(A)))=number267125858f_real(bit1(A)).
% 5.71/5.76
% 5.71/5.76 ======= end of input processing =======
% 5.71/5.76
% 5.71/5.76 =========== start of search ===========
% 5.71/5.76
% 5.71/5.76
% 5.71/5.76 Resetting weight limit to 4.
% 6.89/6.89
% 6.89/6.89
% 6.89/6.89 Resetting weight limit to 4.
% 6.89/6.89
% 6.89/6.89 sos_size=266
% 6.89/6.89
% 6.89/6.89 -------- PROOF --------
% 6.89/6.89
% 6.89/6.89 -----> EMPTY CLAUSE at 1.27 sec ----> 1090 [para_from,1038.2.1,895.1.1.2,demod,1019,764,1017,unit_del,22,22] $F.
% 6.89/6.89
% 6.89/6.89 Length of proof is 10. Level of proof is 3.
% 6.89/6.89
% 6.89/6.89 ---------------- PROOF ----------------
% 6.89/6.89 % SZS status Theorem
% 6.89/6.89 % SZS output start Refutation
% See solution above
% 6.89/6.89 ------------ end of proof -------------
% 6.89/6.89
% 6.89/6.89
% 6.89/6.89 Search stopped by max_proofs option.
% 6.89/6.89
% 6.89/6.89
% 6.89/6.89 Search stopped by max_proofs option.
% 6.89/6.89
% 6.89/6.89 ============ end of search ============
% 6.89/6.89
% 6.89/6.89 -------------- statistics -------------
% 6.89/6.89 clauses given 190
% 6.89/6.89 clauses generated 131770
% 6.89/6.89 clauses kept 918
% 6.89/6.89 clauses forward subsumed 2217
% 6.89/6.89 clauses back subsumed 62
% 6.89/6.89 Kbytes malloced 8789
% 6.89/6.89
% 6.89/6.89 ----------- times (seconds) -----------
% 6.89/6.89 user CPU time 1.27 (0 hr, 0 min, 1 sec)
% 6.89/6.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 6.89/6.89 wall-clock time 7 (0 hr, 0 min, 7 sec)
% 6.89/6.89
% 6.89/6.89 That finishes the proof of the theorem.
% 6.89/6.89
% 6.89/6.89 Process 19895 finished Wed Jul 27 09:55:52 2022
% 6.89/6.89 Otter interrupted
% 6.89/6.89 PROOF FOUND
%------------------------------------------------------------------------------