%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : NUM926+4 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n006.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 13:10:18 EDT 2022

% Result   : Unknown 225.30s 223.95s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM926+4 : TPTP v8.1.0. Released v5.3.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n006.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 09:37:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 224.35/223.10  ----- Otter 3.3f, August 2004 -----
% 224.35/223.10  The process was started by sandbox2 on n006.cluster.edu,
% 224.35/223.10  Wed Jul 27 09:37:47 2022
% 224.35/223.10  The command was "./otter".  The process ID is 10464.
% 224.35/223.10  
% 224.35/223.10  set(prolog_style_variables).
% 224.35/223.10  set(auto).
% 224.35/223.10     dependent: set(auto1).
% 224.35/223.10     dependent: set(process_input).
% 224.35/223.10     dependent: clear(print_kept).
% 224.35/223.10     dependent: clear(print_new_demod).
% 224.35/223.10     dependent: clear(print_back_demod).
% 224.35/223.10     dependent: clear(print_back_sub).
% 224.35/223.10     dependent: set(control_memory).
% 224.35/223.10     dependent: assign(max_mem, 12000).
% 224.35/223.10     dependent: assign(pick_given_ratio, 4).
% 224.35/223.10     dependent: assign(stats_level, 1).
% 224.35/223.10     dependent: assign(max_seconds, 10800).
% 224.35/223.10  clear(print_given).
% 224.35/223.10  
% 224.35/223.10  formula_list(usable).
% 224.35/223.10  all A (A=A).
% 224.35/223.10  all B_1_1 is_int(archim856651990g_real(B_1_1)).
% 224.35/223.10  all B_1_1 is_int(archim791455193or_rat(B_1_1)).
% 224.35/223.10  all B_1_1 is_int(archim1246769320r_real(B_1_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_int(big_co1548731110nt_int(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 is_int(code_int_of(B_1_1)).
% 224.35/223.10  is_int(one_one_int).
% 224.35/223.10  is_int(zero_zero_int).
% 224.35/223.10  all B_1_1 is_int(the_int(B_1_1)).
% 224.35/223.10  is_int(undefined_int(int)).
% 224.35/223.10  all B_1_1 is_int(hilbert_Eps_int(B_1_1)).
% 224.35/223.10  is_int(min).
% 224.35/223.10  is_int(pls).
% 224.35/223.10  all B_1_1 B_2_1 B_3_1 is_bool(tendst1507391555omplex(B_1_1,B_2_1,B_3_1)).
% 224.35/223.10  all B_1_1 B_2_1 B_3_1 is_bool(tendsto_complex_real(B_1_1,B_2_1,B_3_1)).
% 224.35/223.10  all B_1_1 B_2_1 B_3_1 is_bool(tendsto_nat_complex(B_1_1,B_2_1,B_3_1)).
% 224.35/223.10  all B_1_1 B_2_1 B_3_1 is_bool(tendsto_nat_real(B_1_1,B_2_1,B_3_1)).
% 224.35/223.10  all B_1_1 B_2_1 B_3_1 is_bool(tendsto_real_real(B_1_1,B_2_1,B_3_1)).
% 224.35/223.10  all B_1_1 is_bool(trivial_limit_nat(B_1_1)).
% 224.35/223.10  all B_1_1 is_int(quickcheck_int_of(B_1_1)).
% 224.35/223.10  all B_1_1 is_bool(vanishes(B_1_1)).
% 224.35/223.10  all B_1_1 is_bool(bse_q_real(B_1_1)).
% 224.35/223.10  all B_1_1 is_bool(cauchy_complex(B_1_1)).
% 224.35/223.10  all B_1_1 is_bool(cauchy_real(B_1_1)).
% 224.35/223.10  all B_1_1 is_bool(monose_q_real(B_1_1)).
% 224.35/223.10  all B_1_1 is_bool(summable_complex(B_1_1)).
% 224.35/223.10  all B_1_1 is_bool(summable_real(B_1_1)).
% 224.35/223.10  is_bool(fFalse).
% 224.35/223.10  is_bool(fTrue).
% 224.35/223.10  all B_1_1 B_2_1 (is_bool(B_1_1)&is_bool(B_2_1)->is_bool(fdisj(B_1_1,B_2_1))).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_C24501650l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_complex_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 (is_bool(B_2_1)->is_bool(hAPP_bool_bool(B_1_1,B_2_1))).
% 224.35/223.10  all B_1_1 B_2_1 (is_int(B_2_1)->is_bool(hAPP_int_bool(B_1_1,B_2_1))).
% 224.35/223.10  all B_1_1 B_2_1 (is_int(B_2_1)->is_int(hAPP_int_int(B_1_1,B_2_1))).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_int(hAPP_nat_int(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_Q2096512830t_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_rat_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_f448129468l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_int(hAPP_f1594865479ol_int(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_int(hAPP_f659380387ol_int(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_f1501066425l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_f215623910l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_f1469637905l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_f526364711l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_f115998247l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_int(hAPP_P1175774780nt_int(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_P1555980039t_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_P1333854989l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_P880235623l_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_P62333565t_bool(B_1_1,B_2_1)).
% 224.35/223.10  all B_1_1 B_2_1 is_bool(hAPP_P1463840893t_bool(B_1_1,B_2_1)).
% 224.35/223.10  is_int(m).
% 224.35/223.10  is_int(s1).
% 224.35/223.10  is_int(s).
% 224.35/223.10  is_int(t).
% 224.35/223.10  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),t)).
% 224.35/223.10  t=one_one_int-> (exists X Y (is_int(X)&is_int(Y)&hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.35/223.10  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))-> (exists X Y (is_int(X)&is_int(Y)&hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.35/223.10  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,t),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.35/223.10  hBOOL(hAPP_int_bool(zprime,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.35/223.10  hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t).
% 224.35/223.10  hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t))).
% 224.35/223.10  all A_3 B_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_3)),B_2))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.35/223.10  all A_3 B_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),B_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),A_3)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))).
% 224.35/223.10  all X_2 Y_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),Y_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2)),Y_2))).
% 224.35/223.10  all X_2 Y_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_2),Y_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2)),Y_2))).
% 224.35/223.10  all X_2 Y_2 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Y_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2)),Y_2))).
% 224.35/223.10  all X_2 Y_2 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_2),Y_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2)),Y_2))).
% 224.35/223.10  all X_2 Y_2 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_2),Y_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2)),Y_2))).
% 224.35/223.10  all W_17 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_i769753017umeral(number1443263063umeral,W_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,W_17)),hAPP_i769753017umeral(number1443263063umeral,W_17))).
% 224.35/223.10  all W_17 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_i1732201573de_int(number1226105091de_int,W_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,W_17)),hAPP_i1732201573de_int(number1226105091de_int,W_17))).
% 224.35/223.10  all W_17 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_int_rat(number_number_of_rat,W_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,W_17)),hAPP_int_rat(number_number_of_rat,W_17))).
% 224.35/223.10  all W_17 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,W_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,W_17)),hAPP_int_int(number_number_of_int,W_17))).
% 224.35/223.10  all W_17 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,W_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,W_17)),hAPP_int_real(number267125858f_real,W_17))).
% 224.35/223.10  all W_17 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,W_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,W_17)),hAPP_int_nat(number_number_of_nat,W_17))).
% 224.35/223.10  all W_17 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_int_complex(number528085621omplex,W_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,W_17)),hAPP_int_complex(number528085621omplex,W_17))).
% 224.35/223.10  all A_3 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 224.35/223.10  hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,one_one_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_int.
% 224.35/223.10  hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_nat.
% 224.35/223.10  hAPP_nat_real(hAPP_r474017924t_real(power_power_real,one_one_real),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_real.
% 224.35/223.10  hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,one_on1645066479umeral),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_on1645066479umeral.
% 224.35/223.11  hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,one_one_complex),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_complex.
% 224.35/223.11  hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,one_on1684967323de_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_on1684967323de_int.
% 224.35/223.11  hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,one_one_rat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_rat.
% 224.35/223.11  all X_49 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,X_49),X_49)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_49),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.35/223.11  all X_49 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_49),X_49)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_49),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.35/223.11  all X_49 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_49),X_49)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_49),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.35/223.11  all X_49 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_49),X_49)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_49),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.35/223.11  all X_49 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_49),X_49)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_49),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.35/223.11  all X_49 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_49),X_49)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_49),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.35/223.11  all X_49 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_49),X_49)=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_49),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.35/223.11  all A_239 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_239),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_239),A_239)).
% 224.35/223.11  all A_239 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_239),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_239),A_239)).
% 224.35/223.11  all A_239 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_239),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_239),A_239)).
% 224.35/223.11  all A_239 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_239),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_239),A_239)).
% 224.35/223.11  all A_239 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_239),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_239),A_239)).
% 224.35/223.11  all A_239 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_239),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_239),A_239)).
% 224.35/223.11  all A_239 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_239),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_239),A_239)).
% 224.35/223.11  all X_48 N_69 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_69))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_48),N_69)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_48),N_69))).
% 224.35/223.11  all X_48 N_69 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_69))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_48),N_69)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_48),N_69))).
% 224.35/223.11  all X_48 N_69 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_69))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_48),N_69)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_48),N_69))).
% 224.35/223.11  all X_48 N_69 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_69))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_48),N_69)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_48),N_69))).
% 224.35/223.11  all X_48 N_69 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_69))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_48),N_69)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_48),N_69))).
% 224.35/223.11  all X_48 N_69 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_69))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_48),N_69)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_48),N_69))).
% 224.35/223.11  all X_48 N_69 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_48),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_69))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_48),N_69)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_48),N_69))).
% 224.35/223.11  all W_16 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_16))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit1,pls)),W_16))).
% 224.35/223.11  all W_16 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_int_real(number267125858f_real,W_16))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit1,pls)),W_16))).
% 224.35/223.11  all W_16 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),hAPP_int_complex(number528085621omplex,W_16))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit1,pls)),W_16))).
% 224.35/223.11  all W_16 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,W_16))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit1,pls)),W_16))).
% 224.35/223.11  all V_23 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_23)),one_one_int)=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_23),hAPP_int_int(bit1,pls)))).
% 224.35/223.11  all V_23 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_23)),one_one_real)=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_23),hAPP_int_int(bit1,pls)))).
% 224.35/223.11  all V_23 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_23)),one_one_complex)=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_23),hAPP_int_int(bit1,pls)))).
% 224.35/223.11  all V_23 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_23)),one_one_rat)=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_23),hAPP_int_int(bit1,pls)))).
% 224.35/223.11  hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)=hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.35/223.11  hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),one_one_real)=hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.35/223.11  hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)=hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.35/223.11  hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),one_one_rat)=hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.35/223.11  -(all T (is_int(T)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),T))).
% 224.35/223.11  all W hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 224.35/223.11  all Z_1 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z_1))).
% 224.35/223.11  all Z_2 W_1 (is_int(Z_2)&is_int(W_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),W_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),W_1))&Z_2!=W_1)).
% 224.35/223.11  all X_1 Y_1 (is_int(X_1)&is_int(Y_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Y_1))|X_1=Y_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),X_1))).
% 224.35/223.11  all K_2 I J_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),J_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_2),K_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),K_2)))).
% 224.35/223.11  all Z_1 W (is_int(Z_1)&is_int(W)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),Z_1))->Z_1=W))).
% 224.35/223.11  all X_47 P_8 Q_12 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_47),P_8)),Q_12)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_8),Q_12))).
% 224.35/223.11  all X_47 P_8 Q_12 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_47),P_8)),Q_12)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_8),Q_12))).
% 224.35/223.11  all X_47 P_8 Q_12 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_47),P_8)),Q_12)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_8),Q_12))).
% 224.35/223.11  all X_47 P_8 Q_12 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_47),P_8)),Q_12)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_8),Q_12))).
% 224.35/223.11  all X_47 P_8 Q_12 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_47),P_8)),Q_12)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_8),Q_12))).
% 224.35/223.11  all X_47 P_8 Q_12 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_47),P_8)),Q_12)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_8),Q_12))).
% 224.35/223.11  all X_47 P_8 Q_12 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_47),P_8)),Q_12)=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_47),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_8),Q_12))).
% 224.35/223.11  all X_46 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_46),one_one_nat)=X_46).
% 224.35/223.11  all X_46 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_46),one_one_nat)=X_46).
% 224.35/223.11  all X_46 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_46),one_one_nat)=X_46).
% 224.35/223.11  all X_46 (is_int(X_46)->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_46),one_one_nat)=X_46).
% 224.35/223.11  all X_46 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_46),one_one_nat)=X_46).
% 224.35/223.11  all X_46 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_46),one_one_nat)=X_46).
% 224.35/223.11  all X_46 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_46),one_one_nat)=X_46).
% 224.35/223.11  all X_1 Y_1 Z_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),Y_1)),Z_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Y_1),Z_1))).
% 224.35/223.11  all V W_1 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_i769753017umeral(number1443263063umeral,V)),hAPP_i769753017umeral(number1443263063umeral,W_1)))<-> -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_i769753017umeral(number1443263063umeral,W_1)),hAPP_i769753017umeral(number1443263063umeral,V)))).
% 224.35/223.11  all V W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),hAPP_int_int(number_number_of_int,W_1)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W_1)),hAPP_int_int(number_number_of_int,V)))).
% 224.35/223.11  all V W_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,W_1)))<-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,W_1)),hAPP_int_nat(number_number_of_nat,V)))).
% 224.35/223.11  all V W_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,V)),hAPP_int_real(number267125858f_real,W_1)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,W_1)),hAPP_int_real(number267125858f_real,V)))).
% 224.35/223.11  all V W_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_i1732201573de_int(number1226105091de_int,V)),hAPP_i1732201573de_int(number1226105091de_int,W_1)))<-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_i1732201573de_int(number1226105091de_int,W_1)),hAPP_i1732201573de_int(number1226105091de_int,V)))).
% 224.35/223.11  all V W_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,V)),hAPP_int_rat(number_number_of_rat,W_1)))<-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,W_1)),hAPP_int_rat(number_number_of_rat,V)))).
% 224.35/223.11  all X_2 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_2)),hAPP_int_int(number_number_of_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Y_2))).
% 224.35/223.11  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_2)),hAPP_int_real(number267125858f_real,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Y_2))).
% 224.35/223.11  all X_2 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_2)),hAPP_int_rat(number_number_of_rat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Y_2))).
% 224.35/223.11  all X_2 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,X_2)),hAPP_int_int(number_number_of_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),Y_2))).
% 224.35/223.11  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,X_2)),hAPP_int_real(number267125858f_real,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),Y_2))).
% 224.35/223.11  all X_2 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,X_2)),hAPP_int_rat(number_number_of_rat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),Y_2))).
% 224.35/223.11  all Z_4 Z_1 W_15 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_15),W))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_4),Z_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_15),Z_4)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1))))).
% 224.35/223.11  all X_45 P_7 Q_11 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_45),P_7)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_45),Q_11))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_45),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_11))).
% 224.35/223.11  all X_45 P_7 Q_11 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_45),P_7)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_45),Q_11))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_45),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_11))).
% 224.35/223.11  all X_45 P_7 Q_11 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_45),P_7)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_45),Q_11))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_45),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_11))).
% 224.35/223.11  all X_45 P_7 Q_11 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_45),P_7)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_45),Q_11))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_45),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_11))).
% 224.35/223.11  all X_45 P_7 Q_11 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_45),P_7)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_45),Q_11))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_45),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_11))).
% 224.35/223.11  all X_45 P_7 Q_11 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_45),P_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_45),Q_11))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_45),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_11))).
% 224.35/223.11  all X_45 P_7 Q_11 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_45),P_7)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_45),Q_11))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_45),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_11))).
% 224.35/223.11  all X_1 Y_1 Z_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_1),Z_1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),Y_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),Z_1))).
% 224.35/223.11  all Z_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Z_1),Z_1)).
% 224.35/223.11  all Z_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Z_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Z_1),Z_1)).
% 224.35/223.11  hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.35/223.11  all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K1)),hAPP_int_int(bit1,K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 224.35/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 224.35/223.11  all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K1)),hAPP_int_int(bit1,K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 224.35/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 224.35/223.11  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 224.35/223.11  all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K1)),hAPP_int_int(bit0,K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 224.35/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 224.35/223.11  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 224.35/223.11  all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K1)),hAPP_int_int(bit0,K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 224.35/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 224.35/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,K_1)),hAPP_int_int(number_number_of_int,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 224.35/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,K_1)),hAPP_int_int(number_number_of_int,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 224.35/223.11  all K_2 I J_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I),K_2)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,J_2),K_2)))).
% 224.35/223.11  all K_2 I J_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I),J_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),I)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),J_2)))).
% 224.35/223.11  all V_3 V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_3))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_3),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_3),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),V_3))))).
% 224.35/223.11  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=one_one_nat.
% 224.35/223.11  one_one_nat=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)).
% 224.35/223.11  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls))).
% 224.35/223.11  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit1,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1))).
% 224.35/223.11  all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K1)),hAPP_int_int(bit0,K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 224.35/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 224.35/223.11  all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K1)),hAPP_int_int(bit1,K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 224.35/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 224.35/223.11  all W Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W),Z_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),one_one_int)),Z_1))).
% 224.35/223.11  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),one_one_int)),Z_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))).
% 224.35/223.11  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2))).
% 224.35/223.11  hBOOL(hAPP_int_bool(zprime,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.35/223.11  all Y_1 X_1 (hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,X_1))-> (hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,Y_1))->hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1))))).
% 224.35/223.11  all Lx_6 Ly_4 Rx_6 Ry_4 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_6),Ly_4)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Rx_6),Ry_4))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_6),Rx_6)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Ly_4),Ry_4))).
% 224.35/223.11  all Lx_6 Ly_4 Rx_6 Ry_4 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_6),Ly_4)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_6),Ry_4))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_6),Rx_6)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_4),Ry_4))).
% 224.35/223.11  all Lx_6 Ly_4 Rx_6 Ry_4 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_6),Ly_4)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx_6),Ry_4))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_6),Rx_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ly_4),Ry_4))).
% 224.35/223.11  all Lx_6 Ly_4 Rx_6 Ry_4 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_6),Ly_4)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_6),Ry_4))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_6),Rx_6)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ly_4),Ry_4))).
% 224.35/223.11  all Lx_6 Ly_4 Rx_6 Ry_4 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_6),Ly_4)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_6),Ry_4))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_6),Rx_6)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ly_4),Ry_4))).
% 224.35/223.11  all Lx_6 Ly_4 Rx_6 Ry_4 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_6),Ly_4)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_6),Ry_4))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_6),Rx_6)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Ly_4),Ry_4))).
% 224.35/223.11  all Lx_6 Ly_4 Rx_6 Ry_4 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_6),Ly_4)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx_6),Ry_4))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_6),Rx_6)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ly_4),Ry_4))).
% 224.35/223.11  all Lx_5 Ly_3 Rx_5 Ry_3 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_5),Ly_3)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Rx_5),Ry_3))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Rx_5),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_5),Ly_3)),Ry_3))).
% 224.35/223.11  all Lx_5 Ly_3 Rx_5 Ry_3 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_5),Ly_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_5),Ry_3))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_5),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_5),Ly_3)),Ry_3))).
% 224.35/223.11  all Lx_5 Ly_3 Rx_5 Ry_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_5),Ly_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx_5),Ry_3))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_5),Ly_3)),Ry_3))).
% 224.35/223.11  all Lx_5 Ly_3 Rx_5 Ry_3 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_5),Ly_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_5),Ry_3))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_5),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_5),Ly_3)),Ry_3))).
% 224.35/223.11  all Lx_5 Ly_3 Rx_5 Ry_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_5),Ly_3)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_5),Ry_3))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_5),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_5),Ly_3)),Ry_3))).
% 224.35/223.11  all Lx_5 Ly_3 Rx_5 Ry_3 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_5),Ly_3)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_5),Ry_3))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_5),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_5),Ly_3)),Ry_3))).
% 224.35/223.11  all Lx_5 Ly_3 Rx_5 Ry_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_5),Ly_3)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx_5),Ry_3))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx_5),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_5),Ly_3)),Ry_3))).
% 224.35/223.11  all Lx_4 Ly_2 Rx_4 Ry_2 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_4),Ly_2)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Rx_4),Ry_2))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_4),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Ly_2),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Rx_4),Ry_2)))).
% 224.35/223.11  all Lx_4 Ly_2 Rx_4 Ry_2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_4),Ly_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_4),Ry_2))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_4),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_4),Ry_2)))).
% 224.35/223.11  all Lx_4 Ly_2 Rx_4 Ry_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_4),Ly_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx_4),Ry_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_4),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ly_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx_4),Ry_2)))).
% 224.35/223.11  all Lx_4 Ly_2 Rx_4 Ry_2 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_4),Ly_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_4),Ry_2))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_4),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ly_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_4),Ry_2)))).
% 224.35/223.11  all Lx_4 Ly_2 Rx_4 Ry_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_4),Ly_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_4),Ry_2))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_4),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ly_2),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_4),Ry_2)))).
% 224.35/223.11  all Lx_4 Ly_2 Rx_4 Ry_2 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_4),Ly_2)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_4),Ry_2))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_4),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Ly_2),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_4),Ry_2)))).
% 224.35/223.11  all Lx_4 Ly_2 Rx_4 Ry_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_4),Ly_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx_4),Ry_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_4),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ly_2),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx_4),Ry_2)))).
% 224.35/223.11  all Lx_3 Ly_1 Rx_3 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_3),Ly_1)),Rx_3)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_3),Rx_3)),Ly_1)).
% 224.35/223.11  all Lx_3 Ly_1 Rx_3 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Ly_1)),Rx_3)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_3),Rx_3)),Ly_1)).
% 224.35/223.11  all Lx_3 Ly_1 Rx_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_3),Ly_1)),Rx_3)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_3),Rx_3)),Ly_1)).
% 224.35/223.11  all Lx_3 Ly_1 Rx_3 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_3),Ly_1)),Rx_3)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_3),Rx_3)),Ly_1)).
% 224.35/223.11  all Lx_3 Ly_1 Rx_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_3),Ly_1)),Rx_3)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_3),Rx_3)),Ly_1)).
% 224.35/223.11  all Lx_3 Ly_1 Rx_3 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_3),Ly_1)),Rx_3)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_3),Rx_3)),Ly_1)).
% 224.35/223.11  all Lx_3 Ly_1 Rx_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_3),Ly_1)),Rx_3)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_3),Rx_3)),Ly_1)).
% 224.35/223.11  all Lx_2 Ly Rx_2 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_2),Ly)),Rx_2)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_2),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Ly),Rx_2))).
% 224.35/223.11  all Lx_2 Ly Rx_2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_2),Ly)),Rx_2)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly),Rx_2))).
% 224.35/223.11  all Lx_2 Ly Rx_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_2),Ly)),Rx_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ly),Rx_2))).
% 224.35/223.11  all Lx_2 Ly Rx_2 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_2),Ly)),Rx_2)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ly),Rx_2))).
% 224.35/223.11  all Lx_2 Ly Rx_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_2),Ly)),Rx_2)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_2),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ly),Rx_2))).
% 224.35/223.11  all Lx_2 Ly Rx_2 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_2),Ly)),Rx_2)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_2),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Ly),Rx_2))).
% 224.35/223.11  all Lx_2 Ly Rx_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_2),Ly)),Rx_2)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_2),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ly),Rx_2))).
% 224.35/223.11  all Lx_1 Rx_1 Ry_1 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_1),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Rx_1),Ry_1))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx_1),Rx_1)),Ry_1)).
% 224.35/223.11  all Lx_1 Rx_1 Ry_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_1),Ry_1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_1),Rx_1)),Ry_1)).
% 224.35/223.11  all Lx_1 Rx_1 Ry_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx_1),Ry_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_1),Rx_1)),Ry_1)).
% 224.35/223.11  all Lx_1 Rx_1 Ry_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_1),Ry_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_1),Rx_1)),Ry_1)).
% 224.35/223.11  all Lx_1 Rx_1 Ry_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_1),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_1),Ry_1))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_1),Rx_1)),Ry_1)).
% 224.35/223.11  all Lx_1 Rx_1 Ry_1 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_1),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_1),Ry_1))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_1),Rx_1)),Ry_1)).
% 224.35/223.11  all Lx_1 Rx_1 Ry_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx_1),Ry_1))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_1),Rx_1)),Ry_1)).
% 224.35/223.11  all Lx Rx Ry (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Rx),Ry))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Rx),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Lx),Ry))).
% 224.35/223.11  all Lx Rx Ry (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ry))).
% 224.35/223.11  all Lx Rx Ry (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx),Ry))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx),Ry))).
% 224.35/223.11  all Lx Rx Ry (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx),Ry))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx),Ry))).
% 224.35/223.11  all Lx Rx Ry (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx),Ry))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx),Ry))).
% 224.35/223.11  all Lx Rx Ry (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx),Ry))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx),Ry))).
% 224.35/223.11  all Lx Rx Ry (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx),Ry))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx),Ry))).
% 224.35/223.11  all A_238 B_167 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_238),B_167)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_167),A_238)).
% 224.35/223.11  all A_238 B_167 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_238),B_167)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_167),A_238)).
% 224.35/223.11  all A_238 B_167 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_238),B_167)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_167),A_238)).
% 224.35/223.11  all A_238 B_167 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_238),B_167)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_167),A_238)).
% 224.35/223.11  all A_238 B_167 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_238),B_167)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_167),A_238)).
% 224.35/223.11  all A_238 B_167 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_238),B_167)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_167),A_238)).
% 224.35/223.11  all A_238 B_167 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_238),B_167)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_167),A_238)).
% 224.35/223.11  all A_237 B_166 C_97 D_20 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_237),B_166)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_97),D_20))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_237),C_97)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_166),D_20))).
% 224.35/223.11  all A_237 B_166 C_97 D_20 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_237),B_166)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_97),D_20))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_237),C_97)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_166),D_20))).
% 224.35/223.11  all A_237 B_166 C_97 D_20 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_237),B_166)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_97),D_20))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_237),C_97)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_166),D_20))).
% 224.35/223.11  all A_237 B_166 C_97 D_20 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_237),B_166)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_97),D_20))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_237),C_97)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_166),D_20))).
% 224.35/223.11  all A_237 B_166 C_97 D_20 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_237),B_166)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_97),D_20))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_237),C_97)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_166),D_20))).
% 224.35/223.11  all A_237 B_166 C_97 D_20 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_237),B_166)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_97),D_20))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_237),C_97)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_166),D_20))).
% 224.35/223.11  all A_237 B_166 C_97 D_20 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_237),B_166)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_97),D_20))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_237),C_97)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_166),D_20))).
% 224.35/223.11  all X_2 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A_1))<->hBOOL(hAPP_int_bool(A_1,X_2))).
% 224.35/223.11  all X_2 A_1 (hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,X_2),A_1))<->hBOOL(hAPP_P1463840893t_bool(A_1,X_2))).
% 224.35/223.11  all X_2 A_1 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_2),A_1))<->hBOOL(hAPP_f448129468l_bool(A_1,X_2))).
% 224.35/223.11  all X_2 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_1))<->hBOOL(hAPP_nat_bool(A_1,X_2))).
% 224.35/223.11  all X_2 A_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),A_1))<->hBOOL(hAPP_real_bool(A_1,X_2))).
% 224.35/223.11  all X_2 A_1 (hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,X_2),A_1))<->hBOOL(hAPP_P62333565t_bool(A_1,X_2))).
% 224.35/223.11  all X_2 A_1 (hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,X_2),A_1))<->hBOOL(hAPP_P880235623l_bool(A_1,X_2))).
% 224.35/223.11  all P_1 (collect_int(P_1)=P_1).
% 224.35/223.11  all P_1 (collect_nat(P_1)=P_1).
% 224.35/223.11  all P_1 (collec50511176nt_int(P_1)=P_1).
% 224.35/223.11  all P_1 (collec1347809874nt_int(P_1)=P_1).
% 224.35/223.11  all P_1 (collect_real(P_1)=P_1).
% 224.35/223.11  all P_1 (collec1979865426at_nat(P_1)=P_1).
% 224.35/223.11  all A_236 B_165 C_96 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_236),B_165)),C_96)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_236),C_96)),B_165)).
% 224.35/223.11  all A_236 B_165 C_96 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_236),B_165)),C_96)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_236),C_96)),B_165)).
% 224.35/223.11  all A_236 B_165 C_96 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_236),B_165)),C_96)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_236),C_96)),B_165)).
% 224.35/223.11  all A_236 B_165 C_96 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_236),B_165)),C_96)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_236),C_96)),B_165)).
% 224.35/223.11  all A_236 B_165 C_96 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_236),B_165)),C_96)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_236),C_96)),B_165)).
% 224.35/223.11  all A_236 B_165 C_96 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_236),B_165)),C_96)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_236),C_96)),B_165)).
% 224.35/223.11  all A_236 B_165 C_96 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_236),B_165)),C_96)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_236),C_96)),B_165)).
% 224.35/223.11  all A_235 B_164 C_95 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_235),B_164)),C_95)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_235),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_164),C_95))).
% 224.35/223.11  all A_235 B_164 C_95 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_235),B_164)),C_95)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_235),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_164),C_95))).
% 224.35/223.11  all A_235 B_164 C_95 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_235),B_164)),C_95)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_235),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_164),C_95))).
% 224.35/223.11  all A_235 B_164 C_95 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_235),B_164)),C_95)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_235),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_164),C_95))).
% 224.35/223.11  all A_235 B_164 C_95 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_235),B_164)),C_95)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_235),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_164),C_95))).
% 224.35/223.11  all A_235 B_164 C_95 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_235),B_164)),C_95)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_235),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_164),C_95))).
% 224.35/223.11  all A_235 B_164 C_95 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_235),B_164)),C_95)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_235),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_164),C_95))).
% 224.35/223.11  all A_234 C_94 D_19 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_234),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_94),D_19))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_234),C_94)),D_19)).
% 224.35/223.11  all A_234 C_94 D_19 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_234),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_94),D_19))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_234),C_94)),D_19)).
% 224.35/223.11  all A_234 C_94 D_19 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_234),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_94),D_19))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_234),C_94)),D_19)).
% 224.35/223.11  all A_234 C_94 D_19 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_234),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_94),D_19))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_234),C_94)),D_19)).
% 224.35/223.11  all A_234 C_94 D_19 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_234),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_94),D_19))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_234),C_94)),D_19)).
% 224.35/223.11  all A_234 C_94 D_19 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_234),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_94),D_19))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_234),C_94)),D_19)).
% 224.35/223.11  all A_234 C_94 D_19 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_234),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_94),D_19))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_234),C_94)),D_19)).
% 224.35/223.11  all A_233 C_93 D_18 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_233),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_93),D_18))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_93),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_233),D_18))).
% 224.43/223.11  all A_233 C_93 D_18 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_233),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_93),D_18))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_93),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_233),D_18))).
% 224.43/223.11  all A_233 C_93 D_18 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_233),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_93),D_18))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_93),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_233),D_18))).
% 224.43/223.11  all A_233 C_93 D_18 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_233),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_93),D_18))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_93),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_233),D_18))).
% 224.43/223.11  all A_233 C_93 D_18 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_233),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_93),D_18))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_93),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_233),D_18))).
% 224.43/223.11  all A_233 C_93 D_18 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_233),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_93),D_18))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_93),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_233),D_18))).
% 224.43/223.11  all A_233 C_93 D_18 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_233),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_93),D_18))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_93),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_233),D_18))).
% 224.43/223.11  all A_232 C_92 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_232),C_92)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_92),A_232)).
% 224.43/223.11  all A_232 C_92 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_232),C_92)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_92),A_232)).
% 224.43/223.11  all A_232 C_92 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_232),C_92)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_92),A_232)).
% 224.43/223.11  all A_232 C_92 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_232),C_92)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_92),A_232)).
% 224.43/223.11  all A_232 C_92 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_232),C_92)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_92),A_232)).
% 224.43/223.11  all A_232 C_92 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_232),C_92)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_92),A_232)).
% 224.43/223.11  all A_232 C_92 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_232),C_92)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_92),A_232)).
% 224.43/223.11  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hAPP_int_int(number_number_of_int,X_2)=hAPP_int_int(number_number_of_int,Y_2)<->X_2=Y_2)).
% 224.43/223.11  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hAPP_int_real(number267125858f_real,X_2)=hAPP_int_real(number267125858f_real,Y_2)<->X_2=Y_2)).
% 224.43/223.11  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hAPP_int_complex(number528085621omplex,X_2)=hAPP_int_complex(number528085621omplex,Y_2)<->X_2=Y_2)).
% 224.43/223.11  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hAPP_int_rat(number_number_of_rat,X_2)=hAPP_int_rat(number_number_of_rat,Y_2)<->X_2=Y_2)).
% 224.43/223.11  all W_1 X_2 (hAPP_int_nat(number_number_of_nat,W_1)=X_2<->X_2=hAPP_int_nat(number_number_of_nat,W_1)).
% 224.43/223.11  all W_1 X_2 (is_int(X_2)-> (hAPP_int_int(number_number_of_int,W_1)=X_2<->X_2=hAPP_int_int(number_number_of_int,W_1))).
% 224.43/223.11  all W_1 X_2 (hAPP_int_real(number267125858f_real,W_1)=X_2<->X_2=hAPP_int_real(number267125858f_real,W_1)).
% 224.43/223.11  all W_1 X_2 (hAPP_i769753017umeral(number1443263063umeral,W_1)=X_2<->X_2=hAPP_i769753017umeral(number1443263063umeral,W_1)).
% 224.43/223.11  all W_1 X_2 (hAPP_int_complex(number528085621omplex,W_1)=X_2<->X_2=hAPP_int_complex(number528085621omplex,W_1)).
% 224.43/223.11  all W_1 X_2 (hAPP_i1732201573de_int(number1226105091de_int,W_1)=X_2<->X_2=hAPP_i1732201573de_int(number1226105091de_int,W_1)).
% 224.43/223.11  all W_1 X_2 (hAPP_int_rat(number_number_of_rat,W_1)=X_2<->X_2=hAPP_int_rat(number_number_of_rat,W_1)).
% 224.43/223.11  all K_1 L (is_int(K_1)&is_int(L)-> (hAPP_int_int(bit1,K_1)=hAPP_int_int(bit1,L)<->K_1=L)).
% 224.43/223.11  all K_1 L (is_int(K_1)&is_int(L)-> (hAPP_int_int(bit0,K_1)=hAPP_int_int(bit0,L)<->K_1=L)).
% 224.43/223.11  all Z1 Z2 Z3 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),Z2)),Z3)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),Z3))).
% 224.43/223.11  all Z_1 W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),W)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z_1)).
% 224.43/223.11  all K_2 (is_int(K_2)->hAPP_int_int(number_number_of_int,K_2)=K_2).
% 224.43/223.11  all Z1 Z2 Z3 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)),Z3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z2),Z3))).
% 224.43/223.11  all X_1 Y_1 Z_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y_1),Z_1))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Z_1))).
% 224.43/223.11  all Z_1 W (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1)).
% 224.43/223.11  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls))).
% 224.43/223.11  all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K1)),hAPP_int_int(bit0,K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K1),K2))).
% 224.43/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))).
% 224.43/223.11  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),pls))).
% 224.43/223.11  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit0,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K_1))).
% 224.43/223.11  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit1,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1))).
% 224.43/223.11  all K1 K2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K1)),hAPP_int_int(bit1,K2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K1),K2))).
% 224.43/223.11  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))).
% 224.43/223.11  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),pls))).
% 224.43/223.11  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit0,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K_1))).
% 224.43/223.11  all W_1 Z_2 (is_int(W_1)&is_int(Z_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_2),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))|W_1=Z_2)).
% 224.43/223.11  all A_231 N_68 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_231),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_68))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_231),N_68)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.11  all A_231 N_68 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_231),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_68))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_231),N_68)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.11  all A_231 N_68 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_231),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_68))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_231),N_68)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.11  all A_231 N_68 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_231),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_68))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_231),N_68)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.11  all A_231 N_68 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_231),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_68))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_231),N_68)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.11  all A_231 N_68 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_231),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_68))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_231),N_68)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.11  all A_231 N_68 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_231),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_68))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_231),N_68)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.11  all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_2)),one_one_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),hAPP_int_int(bit1,pls)))).
% 224.43/223.11  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_2)),one_one_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),hAPP_int_int(bit1,pls)))).
% 224.43/223.11  all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_2)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),hAPP_int_int(bit1,pls)))).
% 224.43/223.11  all Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(number_number_of_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,pls)),Y_2))).
% 224.43/223.11  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_int_real(number267125858f_real,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,pls)),Y_2))).
% 224.43/223.11  all Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,pls)),Y_2))).
% 224.43/223.11  all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,X_2)),one_one_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),hAPP_int_int(bit1,pls)))).
% 224.43/223.11  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,X_2)),one_one_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),hAPP_int_int(bit1,pls)))).
% 224.43/223.11  all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,X_2)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),hAPP_int_int(bit1,pls)))).
% 224.43/223.11  all Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_int_int(number_number_of_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,pls)),Y_2))).
% 224.43/223.11  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_int_real(number267125858f_real,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,pls)),Y_2))).
% 224.43/223.11  all Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,pls)),Y_2))).
% 224.43/223.11  all W_1 Y_2 X_2 Z_2 (is_int(W_1)&is_int(Y_2)&is_int(X_2)&is_int(Z_2)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Y_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Z_2))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W_1),Z_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Y_2))<->W_1=X_2|Y_2=Z_2)).
% 224.43/223.11  all W_1 Y_2 X_2 Z_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Y_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_2),Z_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,W_1),Z_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_2),Y_2))<->W_1=X_2|Y_2=Z_2).
% 224.43/223.11  all W_1 Y_2 X_2 Z_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Y_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),Z_2))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W_1),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),Y_2))<->W_1=X_2|Y_2=Z_2).
% 224.43/223.11  all W_1 Y_2 X_2 Z_2 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Y_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_2),Z_2))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,W_1),Z_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_2),Y_2))<->W_1=X_2|Y_2=Z_2).
% 224.43/223.11  all W_1 Y_2 X_2 Z_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Y_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_2),Z_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,W_1),Z_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_2),Y_2))<->W_1=X_2|Y_2=Z_2).
% 224.43/223.11  all A_230 M_29 B_163 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_230),M_29)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_163),M_29))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_230),B_163)),M_29)).
% 224.43/223.11  all A_230 M_29 B_163 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_230),M_29)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_163),M_29))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_230),B_163)),M_29)).
% 224.43/223.11  all A_230 M_29 B_163 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_230),M_29)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_163),M_29))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_230),B_163)),M_29)).
% 224.43/223.11  all A_230 M_29 B_163 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_230),M_29)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_163),M_29))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_230),B_163)),M_29)).
% 224.43/223.11  all A_230 M_29 B_163 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_230),M_29)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_163),M_29))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_230),B_163)),M_29)).
% 224.43/223.11  all A_230 M_29 B_163 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_230),M_29)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_163),M_29))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_230),B_163)),M_29)).
% 224.43/223.11  all A_230 M_29 B_163 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_230),M_29)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_163),M_29))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_230),B_163)),M_29)).
% 224.43/223.11  all A_229 B_162 C_91 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_229),B_162)),C_91)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_229),C_91)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_162),C_91))).
% 224.43/223.11  all A_229 B_162 C_91 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_229),B_162)),C_91)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_229),C_91)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_162),C_91))).
% 224.43/223.11  all A_229 B_162 C_91 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_229),B_162)),C_91)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_229),C_91)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_162),C_91))).
% 224.43/223.11  all A_229 B_162 C_91 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_229),B_162)),C_91)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_229),C_91)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_162),C_91))).
% 224.43/223.11  all A_229 B_162 C_91 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_229),B_162)),C_91)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_229),C_91)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_162),C_91))).
% 224.43/223.11  all A_229 B_162 C_91 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_229),B_162)),C_91)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_229),C_91)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_162),C_91))).
% 224.43/223.11  all A_229 B_162 C_91 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_229),B_162)),C_91)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_229),C_91)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_162),C_91))).
% 224.43/223.11  all C D A B (is_int(C)&is_int(D)&is_int(A)&is_int(B)-> (A!=B&C!=D<->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)))).
% 224.43/223.11  all C D A B (A!=B&C!=D<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),D))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C))).
% 224.43/223.11  all C D A B (A!=B&C!=D<->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),D))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),D)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C))).
% 224.43/223.11  all C D A B (A!=B&C!=D<->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),D))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),D)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C))).
% 224.43/223.11  all C D A B (A!=B&C!=D<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),D))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),D)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C))).
% 224.43/223.11  all X_44 Y_36 Z_15 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,X_44),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,Y_36),Z_15))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,X_44),Y_36)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,X_44),Z_15))).
% 224.43/223.11  all X_44 Y_36 Z_15 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_44),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y_36),Z_15))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_44),Y_36)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_44),Z_15))).
% 224.43/223.11  all X_44 Y_36 Z_15 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_44),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_36),Z_15))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_44),Y_36)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_44),Z_15))).
% 224.43/223.11  all X_44 Y_36 Z_15 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_44),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y_36),Z_15))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_44),Y_36)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_44),Z_15))).
% 224.43/223.11  all X_44 Y_36 Z_15 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_44),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Y_36),Z_15))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_44),Y_36)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_44),Z_15))).
% 224.43/223.11  all X_44 Y_36 Z_15 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_44),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Y_36),Z_15))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_44),Y_36)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_44),Z_15))).
% 224.43/223.11  all X_44 Y_36 Z_15 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_44),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Y_36),Z_15))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_44),Y_36)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_44),Z_15))).
% 224.43/223.12  all A_228 (is_int(A_228)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_228),one_one_int)=A_228).
% 224.43/223.12  all A_228 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_228),one_one_nat)=A_228).
% 224.43/223.12  all A_228 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_228),one_one_real)=A_228).
% 224.43/223.12  all A_228 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_228),one_on1645066479umeral)=A_228).
% 224.43/223.12  all A_228 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_228),one_one_complex)=A_228).
% 224.43/223.12  all A_228 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_228),one_on1684967323de_int)=A_228).
% 224.43/223.12  all A_228 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_228),one_one_rat)=A_228).
% 224.43/223.12  all A_227 (is_int(A_227)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_227)=A_227).
% 224.43/223.12  all A_227 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_227)=A_227).
% 224.43/223.12  all A_227 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_227)=A_227).
% 224.43/223.12  all A_227 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_227)=A_227).
% 224.43/223.12  all A_227 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_227)=A_227).
% 224.43/223.12  all A_227 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_227)=A_227).
% 224.43/223.12  all A_227 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_227)=A_227).
% 224.43/223.12  all X_43 Y_35 Q_10 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,X_43),Y_35)),Q_10)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_43),Q_10)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_35),Q_10))).
% 224.43/223.12  all X_43 Y_35 Q_10 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_43),Y_35)),Q_10)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_43),Q_10)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_35),Q_10))).
% 224.43/223.12  all X_43 Y_35 Q_10 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_43),Y_35)),Q_10)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_43),Q_10)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_35),Q_10))).
% 224.43/223.12  all X_43 Y_35 Q_10 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_43),Y_35)),Q_10)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_43),Q_10)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_35),Q_10))).
% 224.43/223.12  all X_43 Y_35 Q_10 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_43),Y_35)),Q_10)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_43),Q_10)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_35),Q_10))).
% 224.43/223.12  all X_43 Y_35 Q_10 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_43),Y_35)),Q_10)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_43),Q_10)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_35),Q_10))).
% 224.43/223.12  all X_43 Y_35 Q_10 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_43),Y_35)),Q_10)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_43),Q_10)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_35),Q_10))).
% 224.43/223.12  all K_2 (hAPP_int_int(bit1,K_2)!=pls).
% 224.43/223.12  all L_2 (pls!=hAPP_int_int(bit1,L_2)).
% 224.43/223.12  all K_2 L_2 (hAPP_int_int(bit1,K_2)!=hAPP_int_int(bit0,L_2)).
% 224.43/223.12  all K_2 L_2 (hAPP_int_int(bit0,K_2)!=hAPP_int_int(bit1,L_2)).
% 224.43/223.12  all K_1 (is_int(K_1)-> (hAPP_int_int(bit0,K_1)=pls<->K_1=pls)).
% 224.43/223.12  all L (is_int(L)-> (pls=hAPP_int_int(bit0,L)<->pls=L)).
% 224.43/223.12  hAPP_int_int(bit0,pls)=pls.
% 224.43/223.12  all W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W)=pls).
% 224.43/223.12  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit0,K_2)),L_2)=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),L_2))).
% 224.43/223.12  all K_2 (is_int(K_2)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),pls)=K_2).
% 224.43/223.12  all K_2 (is_int(K_2)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_2)=K_2).
% 224.43/223.12  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit0,K_2)),hAPP_int_int(bit0,L_2))=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),L_2))).
% 224.43/223.12  all K_2 (hAPP_int_int(bit0,K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2)).
% 224.43/223.12  all Z_1 (is_int(Z_1)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),one_one_int)=Z_1).
% 224.43/223.12  all Z_1 (is_int(Z_1)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),Z_1)=Z_1).
% 224.43/223.12  all V_2 W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),W))).
% 224.43/223.12  all Z1 Z2 W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2)),W)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),W)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),W))).
% 224.43/223.12  all W Z1 Z2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z1),Z2))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z2))).
% 224.43/223.12  all V_2 W (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),W))).
% 224.43/223.12  all V_22 V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_22))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_21)),hAPP_int_int(number_number_of_int,V_22))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_21),V_22)))).
% 224.43/223.12  all V_22 V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_22))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_21)),hAPP_int_nat(number_number_of_nat,V_22))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_21),V_22)))).
% 224.43/223.12  all V_22 V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_22))->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_21)),hAPP_int_real(number267125858f_real,V_22))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_21),V_22)))).
% 224.43/223.12  all V_22 V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_22))->hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_21)),hAPP_int_complex(number528085621omplex,V_22))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_21),V_22)))).
% 224.43/223.12  all V_22 V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_22))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_21)),hAPP_int_rat(number_number_of_rat,V_22))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_21),V_22)))).
% 224.43/223.12  all V_20 V_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_20))->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_19)),hAPP_int_int(number_number_of_int,V_20))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_19),V_20)))).
% 224.43/223.12  all V_20 V_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_20))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_19)),hAPP_int_nat(number_number_of_nat,V_20))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_19),V_20)))).
% 224.43/223.12  all V_20 V_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_20))->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_19)),hAPP_int_real(number267125858f_real,V_20))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_19),V_20)))).
% 224.43/223.12  all V_20 V_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_20))->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_19)),hAPP_int_complex(number528085621omplex,V_20))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_19),V_20)))).
% 224.43/223.12  all V_20 V_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_20))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_19)),hAPP_int_rat(number_number_of_rat,V_20))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_19),V_20)))).
% 224.43/223.12  all X_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.43/223.12  all A_226 B_161 V_18 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_226),B_161)),hAPP_i769753017umeral(number1443263063umeral,V_18))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_226),hAPP_i769753017umeral(number1443263063umeral,V_18))),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_161),hAPP_i769753017umeral(number1443263063umeral,V_18)))).
% 224.43/223.12  all A_226 B_161 V_18 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_226),B_161)),hAPP_int_int(number_number_of_int,V_18))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_226),hAPP_int_int(number_number_of_int,V_18))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_161),hAPP_int_int(number_number_of_int,V_18)))).
% 224.43/223.12  all A_226 B_161 V_18 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_226),B_161)),hAPP_int_nat(number_number_of_nat,V_18))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_226),hAPP_int_nat(number_number_of_nat,V_18))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_161),hAPP_int_nat(number_number_of_nat,V_18)))).
% 224.43/223.12  all A_226 B_161 V_18 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_226),B_161)),hAPP_int_real(number267125858f_real,V_18))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_226),hAPP_int_real(number267125858f_real,V_18))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_161),hAPP_int_real(number267125858f_real,V_18)))).
% 224.43/223.12  all A_226 B_161 V_18 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_226),B_161)),hAPP_int_complex(number528085621omplex,V_18))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_226),hAPP_int_complex(number528085621omplex,V_18))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_161),hAPP_int_complex(number528085621omplex,V_18)))).
% 224.43/223.12  all A_226 B_161 V_18 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_226),B_161)),hAPP_i1732201573de_int(number1226105091de_int,V_18))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_226),hAPP_i1732201573de_int(number1226105091de_int,V_18))),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_161),hAPP_i1732201573de_int(number1226105091de_int,V_18)))).
% 224.43/223.12  all A_226 B_161 V_18 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_226),B_161)),hAPP_int_rat(number_number_of_rat,V_18))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_226),hAPP_int_rat(number_number_of_rat,V_18))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_161),hAPP_int_rat(number_number_of_rat,V_18)))).
% 224.43/223.12  all V_17 B_160 C_90 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_17)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_160),C_90))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_17)),B_160)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_17)),C_90))).
% 224.43/223.12  all V_17 B_160 C_90 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_17)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_160),C_90))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_17)),B_160)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_17)),C_90))).
% 224.43/223.12  all V_17 B_160 C_90 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_17)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_160),C_90))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_17)),B_160)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_17)),C_90))).
% 224.43/223.12  all V_17 B_160 C_90 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_17)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_160),C_90))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_17)),B_160)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_17)),C_90))).
% 224.43/223.12  all V_17 B_160 C_90 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_17)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_160),C_90))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_17)),B_160)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_17)),C_90))).
% 224.43/223.12  all V_17 B_160 C_90 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_17)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_160),C_90))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_17)),B_160)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_17)),C_90))).
% 224.43/223.12  all V_17 B_160 C_90 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_17)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_160),C_90))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_17)),B_160)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_17)),C_90))).
% 224.43/223.12  all A_225 M_28 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_225),M_28)),M_28)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_225),one_one_int)),M_28)).
% 224.43/223.12  all A_225 M_28 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_225),M_28)),M_28)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_225),one_one_nat)),M_28)).
% 224.43/223.12  all A_225 M_28 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_225),M_28)),M_28)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_225),one_one_real)),M_28)).
% 224.43/223.12  all A_225 M_28 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_225),M_28)),M_28)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_225),one_on1645066479umeral)),M_28)).
% 224.43/223.12  all A_225 M_28 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_225),M_28)),M_28)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_225),one_one_complex)),M_28)).
% 224.43/223.12  all A_225 M_28 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_225),M_28)),M_28)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_225),one_on1684967323de_int)),M_28)).
% 224.43/223.12  all A_225 M_28 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_225),M_28)),M_28)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_225),one_one_rat)),M_28)).
% 224.43/223.12  all M_27 A_224 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_27),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_224),M_27))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_224),one_one_int)),M_27)).
% 224.43/223.12  all M_27 A_224 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_27),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_224),M_27))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_224),one_one_nat)),M_27)).
% 224.43/223.12  all M_27 A_224 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,M_27),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_224),M_27))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_224),one_one_real)),M_27)).
% 224.43/223.12  all M_27 A_224 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,M_27),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_224),M_27))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_224),one_on1645066479umeral)),M_27)).
% 224.43/223.12  all M_27 A_224 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,M_27),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_224),M_27))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_224),one_one_complex)),M_27)).
% 224.43/223.12  all M_27 A_224 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,M_27),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_224),M_27))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_224),one_on1684967323de_int)),M_27)).
% 224.43/223.12  all M_27 A_224 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,M_27),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_224),M_27))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_224),one_one_rat)),M_27)).
% 224.43/223.12  all M_26 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_26),M_26)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),M_26)).
% 224.43/223.12  all M_26 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_26),M_26)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),M_26)).
% 224.43/223.12  all M_26 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,M_26),M_26)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),one_one_real)),M_26)).
% 224.43/223.12  all M_26 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,M_26),M_26)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),one_on1645066479umeral)),M_26)).
% 224.43/223.12  all M_26 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,M_26),M_26)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),M_26)).
% 224.43/223.12  all M_26 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,M_26),M_26)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,one_on1684967323de_int),one_on1684967323de_int)),M_26)).
% 224.43/223.12  all M_26 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,M_26),M_26)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),one_one_rat)),M_26)).
% 224.43/223.12  all A_223 (is_int(A_223)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,pls)),A_223)=A_223).
% 224.43/223.12  all A_223 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,pls)),A_223)=A_223).
% 224.43/223.12  all A_223 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,pls)),A_223)=A_223).
% 224.43/223.12  all A_223 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,pls)),A_223)=A_223).
% 224.43/223.12  all A_222 (is_int(A_222)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_222),hAPP_int_int(number_number_of_int,pls))=A_222).
% 224.43/223.12  all A_222 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_222),hAPP_int_real(number267125858f_real,pls))=A_222).
% 224.43/223.12  all A_222 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_222),hAPP_int_complex(number528085621omplex,pls))=A_222).
% 224.43/223.12  all A_222 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_222),hAPP_int_rat(number_number_of_rat,pls))=A_222).
% 224.43/223.12  all V_16 W_14 Z_14 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_16)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,W_14)),Z_14))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_16),W_14))),Z_14)).
% 224.43/223.12  all V_16 W_14 Z_14 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_16)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,W_14)),Z_14))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_16),W_14))),Z_14)).
% 224.43/223.12  all V_16 W_14 Z_14 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_16)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,W_14)),Z_14))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_16),W_14))),Z_14)).
% 224.43/223.12  all V_16 W_14 Z_14 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_16)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,W_14)),Z_14))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_16),W_14))),Z_14)).
% 224.43/223.12  all V_15 W_13 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_15)),hAPP_int_int(number_number_of_int,W_13))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_15),W_13))).
% 224.43/223.12  all V_15 W_13 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_15)),hAPP_int_real(number267125858f_real,W_13))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_15),W_13))).
% 224.43/223.12  all V_15 W_13 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_15)),hAPP_int_complex(number528085621omplex,W_13))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_15),W_13))).
% 224.43/223.12  all V_15 W_13 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_15)),hAPP_int_rat(number_number_of_rat,W_13))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_15),W_13))).
% 224.43/223.12  all V_14 W_12 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_14),W_12))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_14)),hAPP_int_int(number_number_of_int,W_12))).
% 224.43/223.12  all V_14 W_12 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_14),W_12))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_14)),hAPP_int_real(number267125858f_real,W_12))).
% 224.43/223.12  all V_14 W_12 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_14),W_12))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_14)),hAPP_int_complex(number528085621omplex,W_12))).
% 224.43/223.12  all V_14 W_12 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_14),W_12))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_14)),hAPP_int_rat(number_number_of_rat,W_12))).
% 224.43/223.12  all V_13 W_11 Z_13 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_13)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_11)),Z_13))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_13),W_11))),Z_13)).
% 224.43/223.12  all V_13 W_11 Z_13 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_13)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,W_11)),Z_13))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_13),W_11))),Z_13)).
% 224.43/223.12  all V_13 W_11 Z_13 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_13)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,W_11)),Z_13))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_13),W_11))),Z_13)).
% 224.43/223.12  all V_13 W_11 Z_13 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_13)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,W_11)),Z_13))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_13),W_11))),Z_13)).
% 224.43/223.12  all V_12 W_10 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_12)),hAPP_int_int(number_number_of_int,W_10))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_12),W_10))).
% 224.43/223.12  all V_12 W_10 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_12)),hAPP_int_real(number267125858f_real,W_10))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_12),W_10))).
% 224.43/223.12  all V_12 W_10 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_12)),hAPP_int_complex(number528085621omplex,W_10))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_12),W_10))).
% 224.43/223.12  all V_12 W_10 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_12)),hAPP_int_rat(number_number_of_rat,W_10))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_12),W_10))).
% 224.43/223.12  all V_11 W_9 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_11),W_9))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_11)),hAPP_int_int(number_number_of_int,W_9))).
% 224.43/223.12  all V_11 W_9 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_11),W_9))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_11)),hAPP_int_real(number267125858f_real,W_9))).
% 224.43/223.12  all V_11 W_9 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_11),W_9))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_11)),hAPP_int_complex(number528085621omplex,W_9))).
% 224.43/223.12  all V_11 W_9 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_11),W_9))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_11)),hAPP_int_rat(number_number_of_rat,W_9))).
% 224.43/223.12  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit1,K_2)),hAPP_int_int(bit0,L_2))=hAPP_int_int(bit1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),L_2))).
% 224.43/223.12  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit0,K_2)),hAPP_int_int(bit1,L_2))=hAPP_int_int(bit1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),L_2))).
% 224.43/223.12  all K_2 (hAPP_int_int(bit1,K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),K_2)),K_2)).
% 224.43/223.12  all W_8 (hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_8))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W_8))),hAPP_int_int(number_number_of_int,W_8))).
% 224.43/223.12  all W_8 (hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,W_8))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_int_real(number267125858f_real,W_8))),hAPP_int_real(number267125858f_real,W_8))).
% 224.43/223.12  all W_8 (hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,W_8))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),hAPP_int_complex(number528085621omplex,W_8))),hAPP_int_complex(number528085621omplex,W_8))).
% 224.43/223.12  all W_8 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,W_8))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,W_8))),hAPP_int_rat(number_number_of_rat,W_8))).
% 224.43/223.12  all A_221 (is_int(A_221)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls))),A_221)=A_221).
% 224.43/223.12  all A_221 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls))),A_221)=A_221).
% 224.43/223.12  all A_221 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls))),A_221)=A_221).
% 224.43/223.12  all A_221 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls))),A_221)=A_221).
% 224.43/223.12  all A_220 (is_int(A_220)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_220),hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)))=A_220).
% 224.43/223.12  all A_220 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_220),hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls)))=A_220).
% 224.43/223.12  all A_220 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_220),hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls)))=A_220).
% 224.43/223.12  all A_220 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_220),hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls)))=A_220).
% 224.43/223.12  hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls))=one_one_int.
% 224.43/223.12  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=one_one_nat.
% 224.43/223.12  hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls))=one_one_real.
% 224.43/223.12  hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls))=one_one_complex.
% 224.43/223.12  hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls))=one_one_rat.
% 224.43/223.12  hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls))=one_one_int.
% 224.43/223.12  hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls))=one_one_real.
% 224.43/223.12  hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls))=one_one_complex.
% 224.43/223.12  hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls))=one_one_rat.
% 224.43/223.12  one_one_int=hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)).
% 224.43/223.12  one_one_real=hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls)).
% 224.43/223.12  one_one_complex=hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls)).
% 224.43/223.12  one_one_rat=hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls)).
% 224.43/223.12  one_one_int=hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)).
% 224.43/223.12  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(bit1,K_2)),L_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),L_2))),L_2)).
% 224.43/223.12  all W_7 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)),hAPP_int_int(number_number_of_int,W_7))=hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W_7))).
% 224.43/223.12  all W_7 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),one_one_real)),hAPP_int_real(number267125858f_real,W_7))=hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,W_7))).
% 224.43/223.12  all W_7 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),hAPP_int_complex(number528085621omplex,W_7))=hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,W_7))).
% 224.43/223.12  all W_7 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),one_one_rat)),hAPP_int_rat(number_number_of_rat,W_7))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,W_7))).
% 224.43/223.12  all A_219 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_219),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_219),A_219)),A_219)).
% 224.43/223.12  all A_219 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_219),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_219),A_219)),A_219)).
% 224.43/223.12  all A_219 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_219),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_219),A_219)),A_219)).
% 224.43/223.12  all A_219 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_219),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_219),A_219)),A_219)).
% 224.43/223.12  all A_219 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_219),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_219),A_219)),A_219)).
% 224.43/223.12  all A_219 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_219),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_219),A_219)),A_219)).
% 224.43/223.12  all A_219 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_219),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_219),A_219)),A_219)).
% 224.43/223.12  all X_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.43/223.12  all Z_12 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_12)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_12),Z_12)).
% 224.43/223.12  all Z_12 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_12)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Z_12),Z_12)).
% 224.43/223.12  all Z_12 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_12)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_12),Z_12)).
% 224.43/223.12  all Z_12 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_12)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Z_12),Z_12)).
% 224.43/223.12  all Z_12 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_12)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Z_12),Z_12)).
% 224.43/223.12  all Z_11 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_11)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_11),Z_11)).
% 224.43/223.12  all Z_11 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_11)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_11),Z_11)).
% 224.43/223.12  all Z_11 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_11)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Z_11),Z_11)).
% 224.43/223.12  all Z_11 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_11)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Z_11),Z_11)).
% 224.43/223.12  all Z_10 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_10),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_10),Z_10)).
% 224.43/223.12  all Z_10 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Z_10),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Z_10),Z_10)).
% 224.43/223.12  all Z_10 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_10),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_10),Z_10)).
% 224.43/223.12  all Z_10 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_10),hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Z_10),Z_10)).
% 224.43/223.12  all Z_10 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Z_10),hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Z_10),Z_10)).
% 224.43/223.12  all Z_9 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_9),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_9),Z_9)).
% 224.43/223.12  all Z_9 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_9),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_9),Z_9)).
% 224.43/223.12  all Z_9 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_9),hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Z_9),Z_9)).
% 224.43/223.12  all Z_9 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Z_9),hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Z_9),Z_9)).
% 224.43/223.12  hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int)=hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.43/223.12  hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.43/223.12  hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),one_one_real)=hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.43/223.12  hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)=hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.43/223.12  hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),one_one_rat)=hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.43/223.12  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.43/223.12  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int))).
% 224.43/223.12  all P_3 (is_int(P_3)-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (P_3!=hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))-> (P_3!=hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),P_3)))))).
% 224.43/223.12  hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,s),one_one_int))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),t).
% 224.43/223.12  all X_1 Y_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)),Y_1))).
% 224.43/223.12  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.12  all N_67 A_218 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_218))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_218),N_67)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_218),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_218),N_67))))).
% 224.43/223.12  all N_67 A_218 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_218))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_218),N_67)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_218),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_218),N_67))))).
% 224.43/223.12  all N_67 A_218 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_218))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_218),N_67)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_218),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_218),N_67))))).
% 224.43/223.12  all N_67 A_218 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_218))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_218),N_67)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_218),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_218),N_67))))).
% 224.43/223.12  all N_67 A_218 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_218))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_218),N_67)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_218),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_218),N_67))))).
% 224.43/223.12  all N_67 A_218 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_218))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_218),N_67)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_218),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_218),N_67))))).
% 224.43/223.12  all N_66 A_217 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_217))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_217),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_217),N_66))))).
% 224.43/223.12  all N_66 A_217 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_217))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_217),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_217),N_66))))).
% 224.43/223.12  all N_66 A_217 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_217))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_217),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_217),N_66))))).
% 224.43/223.12  all N_66 A_217 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_217))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_217),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_217),N_66))))).
% 224.43/223.12  all N_66 A_217 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_217))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_217),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_217),N_66))))).
% 224.43/223.12  all N_66 A_217 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_217))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_217),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_217),N_66))))).
% 224.43/223.12  all M_25 N_65 A_216 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_216))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_216),M_25)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_216),N_65)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_25),N_65)))).
% 224.43/223.12  all M_25 N_65 A_216 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_216))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_216),M_25)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_216),N_65)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_25),N_65)))).
% 224.43/223.12  all M_25 N_65 A_216 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_216))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_216),M_25)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_216),N_65)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_25),N_65)))).
% 224.43/223.12  all M_25 N_65 A_216 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_216))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_216),M_25)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_216),N_65)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_25),N_65)))).
% 224.43/223.12  all M_25 N_65 A_216 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_216))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_216),M_25)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_216),N_65)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_25),N_65)))).
% 224.43/223.12  all M_25 N_65 A_216 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_216))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_216),M_25)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_216),N_65)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_25),N_65)))).
% 224.43/223.12  all X_2 Y_2 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),X_2)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2)))).
% 224.43/223.12  all X_2 Y_2 B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2)))).
% 224.43/223.12  all X_2 Y_2 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),X_2)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2)))).
% 224.43/223.12  all X_2 Y_2 B (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),B))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B),X_2)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2)))).
% 224.43/223.12  all X_2 Y_2 B (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),B))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B),X_2)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2)))).
% 224.43/223.12  all X_2 Y_2 B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B),X_2)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2)))).
% 224.43/223.12  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.43/223.12  all P_1 K_1 I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1))-> (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_2),one_one_int)))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 224.43/223.12  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),s)).
% 224.43/223.12  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,s),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.43/223.12  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(s1),s),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.43/223.12  exists X (is_int(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),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(s1),X),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)))& (all Y (is_int(Y)-> (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_int,Y),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(s1),Y),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)))->Y=X)))).
% 224.43/223.12  -(all S_2 (is_int(S_2)-> -(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),S_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,S_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(s1),S_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)))))).
% 224.43/223.12  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.43/223.12  all A N (is_int(A)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),N)=zero_zero_int<->A=zero_zero_int&N!=zero_zero_nat)).
% 224.43/223.12  all A N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),N)=zero_zero_nat<->A=zero_zero_nat&N!=zero_zero_nat).
% 224.43/223.12  all A N (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),N)=zero_zero_real<->A=zero_zero_real&N!=zero_zero_nat).
% 224.43/223.12  all A N (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),N)=zero_z126310315umeral<->A=zero_z126310315umeral&N!=zero_zero_nat).
% 224.43/223.12  all A N (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),N)=zero_zero_complex<->A=zero_zero_complex&N!=zero_zero_nat).
% 224.43/223.12  all A N (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),N)=zero_z891286103de_int<->A=zero_z891286103de_int&N!=zero_zero_nat).
% 224.43/223.12  all A N (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),N)=zero_zero_rat<->A=zero_zero_rat&N!=zero_zero_nat).
% 224.43/223.12  all A_215 M_24 N_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_24),N_64))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_215),M_24)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_215),N_64)))).
% 224.43/223.12  all A_215 M_24 N_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_24),N_64))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_215),M_24)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_215),N_64)))).
% 224.43/223.12  all A_215 M_24 N_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_24),N_64))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_215),M_24)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_215),N_64)))).
% 224.43/223.12  all A_215 M_24 N_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_24),N_64))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_215),M_24)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_215),N_64)))).
% 224.43/223.12  all A_215 M_24 N_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_24),N_64))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_215),M_24)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_215),N_64)))).
% 224.43/223.12  all A_215 M_24 N_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_24),N_64))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_215),M_24)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_215),N_64)))).
% 224.43/223.12  all A_215 M_24 N_64 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_24),N_64))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_215),M_24)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_215),N_64)))).
% 224.43/223.12  all N_63 M_23 X_42 Y_34 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,X_42),Y_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_63),M_23))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_42),N_63)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_34),M_23))))).
% 224.43/223.12  all N_63 M_23 X_42 Y_34 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,X_42),Y_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_63),M_23))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_42),N_63)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_34),M_23))))).
% 224.43/223.12  all N_63 M_23 X_42 Y_34 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_42),Y_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_63),M_23))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_42),N_63)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_34),M_23))))).
% 224.43/223.12  all N_63 M_23 X_42 Y_34 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_42),Y_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_63),M_23))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_42),N_63)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_34),M_23))))).
% 224.43/223.12  all N_63 M_23 X_42 Y_34 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_42),Y_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_63),M_23))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_42),N_63)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_34),M_23))))).
% 224.43/223.12  all N_63 M_23 X_42 Y_34 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_42),Y_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_63),M_23))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_42),N_63)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_34),M_23))))).
% 224.43/223.12  all N_63 M_23 X_42 Y_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_42),Y_34))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_63),M_23))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_42),N_63)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_34),M_23))))).
% 224.43/223.12  all M_22 A_214 N_62 B_159 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_214),N_62)),B_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_22),N_62))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_214),M_22)),B_159)))).
% 224.43/223.12  all M_22 A_214 N_62 B_159 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_214),N_62)),B_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_22),N_62))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_214),M_22)),B_159)))).
% 224.43/223.12  all M_22 A_214 N_62 B_159 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_214),N_62)),B_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_22),N_62))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_214),M_22)),B_159)))).
% 224.43/223.12  all M_22 A_214 N_62 B_159 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_214),N_62)),B_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_22),N_62))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_214),M_22)),B_159)))).
% 224.43/223.12  all M_22 A_214 N_62 B_159 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_214),N_62)),B_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_22),N_62))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_214),M_22)),B_159)))).
% 224.43/223.12  all M_22 A_214 N_62 B_159 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_214),N_62)),B_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_22),N_62))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_214),M_22)),B_159)))).
% 224.43/223.12  all M_22 A_214 N_62 B_159 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_214),N_62)),B_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_22),N_62))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_214),M_22)),B_159)))).
% 224.43/223.12  all A_213 N_61 B_158 (is_int(A_213)&is_int(B_158)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_213),N_61)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_158),N_61)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_213))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_158))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_61))->A_213=B_158))))).
% 224.43/223.12  all A_213 N_61 B_158 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_213),N_61)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_158),N_61)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_213))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_158))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_61))->A_213=B_158)))).
% 224.43/223.12  all A_213 N_61 B_158 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_213),N_61)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_158),N_61)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_213))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_158))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_61))->A_213=B_158)))).
% 224.43/223.12  all A_213 N_61 B_158 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_213),N_61)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_158),N_61)-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_213))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_158))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_61))->A_213=B_158)))).
% 224.43/223.12  all A_213 N_61 B_158 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_213),N_61)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_158),N_61)-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_213))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_158))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_61))->A_213=B_158)))).
% 224.43/223.12  all A_213 N_61 B_158 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_213),N_61)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_158),N_61)-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_213))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_158))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_61))->A_213=B_158)))).
% 224.43/223.13  all N_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),N_1))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M)))).
% 224.43/223.13  all N_1 M (is_int(N_1)&is_int(M)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M))->M=N_1))))).
% 224.43/223.13  all K_2 M N_1 (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)))-> (K_2!=zero_zero_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N_1))))).
% 224.43/223.13  all N_60 X_41 Y_33 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,X_41),Y_33))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_41),N_60)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_33),N_60)))).
% 224.43/223.13  all N_60 X_41 Y_33 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,X_41),Y_33))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_41),N_60)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_33),N_60)))).
% 224.43/223.13  all N_60 X_41 Y_33 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_41),Y_33))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_41),N_60)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_33),N_60)))).
% 224.43/223.13  all N_60 X_41 Y_33 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_41),Y_33))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_41),N_60)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_33),N_60)))).
% 224.43/223.13  all N_60 X_41 Y_33 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_41),Y_33))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_41),N_60)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_33),N_60)))).
% 224.43/223.13  all N_60 X_41 Y_33 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_41),Y_33))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_41),N_60)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_33),N_60)))).
% 224.43/223.13  all N_60 X_41 Y_33 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_41),Y_33))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_41),N_60)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_33),N_60)))).
% 224.43/223.13  all N_59 A_212 (is_int(A_212)-> (A_212!=zero_zero_int->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_212),N_59)!=zero_zero_int)).
% 224.43/223.13  all N_59 A_212 (A_212!=zero_zero_real->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_212),N_59)!=zero_zero_real).
% 224.43/223.13  all N_59 A_212 (A_212!=zero_zero_complex->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_212),N_59)!=zero_zero_complex).
% 224.43/223.13  all N_59 A_212 (A_212!=zero_zero_rat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_212),N_59)!=zero_zero_rat).
% 224.43/223.13  all N_58 ((N_58=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),N_58)=one_one_int)& (N_58!=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),N_58)=zero_zero_int)).
% 224.43/223.13  all N_58 ((N_58=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),N_58)=one_one_nat)& (N_58!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),N_58)=zero_zero_nat)).
% 224.43/223.13  all N_58 ((N_58=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N_58)=one_one_real)& (N_58!=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N_58)=zero_zero_real)).
% 224.43/223.13  all N_58 ((N_58=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),N_58)=one_on1645066479umeral)& (N_58!=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),N_58)=zero_z126310315umeral)).
% 224.43/223.13  all N_58 ((N_58=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),N_58)=one_one_complex)& (N_58!=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),N_58)=zero_zero_complex)).
% 224.43/223.13  all N_58 ((N_58=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),N_58)=one_on1684967323de_int)& (N_58!=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),N_58)=zero_z891286103de_int)).
% 224.43/223.13  all N_58 ((N_58=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,zero_zero_rat),N_58)=one_one_rat)& (N_58!=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,zero_zero_rat),N_58)=zero_zero_rat)).
% 224.43/223.13  all Z_1 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),N_1)))).
% 224.43/223.13  all N_57 A_211 B_157 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_211),B_157))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_211))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_57))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_211),N_57)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_157),N_57)))))).
% 224.43/223.13  all N_57 A_211 B_157 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_211),B_157))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_211))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_57))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_211),N_57)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_157),N_57)))))).
% 224.43/223.13  all N_57 A_211 B_157 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_211),B_157))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_211))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_57))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_211),N_57)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_157),N_57)))))).
% 224.43/223.13  all N_57 A_211 B_157 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_211),B_157))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_211))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_57))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_211),N_57)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_157),N_57)))))).
% 224.43/223.13  all N_57 A_211 B_157 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_211),B_157))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_211))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_57))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_211),N_57)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_157),N_57)))))).
% 224.43/223.13  all N_57 A_211 B_157 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_211),B_157))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_211))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_57))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_211),N_57)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_157),N_57)))))).
% 224.43/223.13  all A_210 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),A_210)=zero_zero_int).
% 224.43/223.13  all A_210 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),A_210)=zero_zero_nat).
% 224.43/223.13  all A_210 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),A_210)=zero_zero_real).
% 224.43/223.13  all A_210 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,zero_z126310315umeral),A_210)=zero_z126310315umeral).
% 224.43/223.13  all A_210 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),A_210)=zero_zero_complex).
% 224.43/223.13  all A_210 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,zero_z891286103de_int),A_210)=zero_z891286103de_int).
% 224.43/223.13  all A_210 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,zero_zero_rat),A_210)=zero_zero_rat).
% 224.43/223.13  all A_209 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_209),zero_zero_int)=zero_zero_int).
% 224.43/223.13  all A_209 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_209),zero_zero_nat)=zero_zero_nat).
% 224.43/223.13  all A_209 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_209),zero_zero_real)=zero_zero_real).
% 224.43/223.13  all A_209 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_209),zero_z126310315umeral)=zero_z126310315umeral).
% 224.43/223.13  all A_209 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_209),zero_zero_complex)=zero_zero_complex).
% 224.43/223.13  all A_209 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_209),zero_z891286103de_int)=zero_z891286103de_int).
% 224.43/223.13  all A_209 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_209),zero_zero_rat)=zero_zero_rat).
% 224.43/223.13  all A_208 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_208)=A_208).
% 224.43/223.13  all A_208 (is_int(A_208)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_208)=A_208).
% 224.43/223.13  all A_208 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_208)=A_208).
% 224.43/223.13  all A_208 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_208)=A_208).
% 224.43/223.13  all A_208 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_208)=A_208).
% 224.43/223.13  all A_208 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_208)=A_208).
% 224.43/223.13  all A_208 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_208)=A_208).
% 224.43/223.13  all A_207 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_207),zero_z126310315umeral)=A_207).
% 224.43/223.13  all A_207 (is_int(A_207)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_207),zero_zero_int)=A_207).
% 224.43/223.13  all A_207 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_207),zero_zero_nat)=A_207).
% 224.43/223.13  all A_207 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_207),zero_zero_real)=A_207).
% 224.43/223.13  all A_207 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_207),zero_zero_complex)=A_207).
% 224.43/223.13  all A_207 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_207),zero_z891286103de_int)=A_207).
% 224.43/223.13  all A_207 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_207),zero_zero_rat)=A_207).
% 224.43/223.13  all B A (is_int(B)&is_int(A)-> (B=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A)<->A=zero_zero_int)).
% 224.43/223.13  all B A (B=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),A)<->A=zero_zero_nat).
% 224.43/223.13  all B A (B=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),A)<->A=zero_zero_real).
% 224.43/223.13  all B A (B=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),A)<->A=zero_zero_complex).
% 224.43/223.13  all B A (B=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),A)<->A=zero_zero_rat).
% 224.43/223.13  all A (is_int(A)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)=zero_zero_int<->A=zero_zero_int)).
% 224.43/223.13  all A (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)=zero_zero_real<->A=zero_zero_real).
% 224.43/223.13  all A (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)=zero_zero_rat<->A=zero_zero_rat).
% 224.43/223.13  pls=zero_zero_int.
% 224.43/223.13  zero_zero_int!=one_one_int.
% 224.43/223.13  all Z_1 (is_int(Z_1)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),Z_1)=Z_1).
% 224.43/223.13  all Z_1 (is_int(Z_1)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),zero_zero_int)=Z_1).
% 224.43/223.13  all N_56 A_206 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_206))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_206),N_56)))).
% 224.43/223.13  all N_56 A_206 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_206))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_206),N_56)))).
% 224.43/223.13  all N_56 A_206 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_206))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_206),N_56)))).
% 224.43/223.13  all N_56 A_206 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_206))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_206),N_56)))).
% 224.43/223.13  all N_56 A_206 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_206))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_206),N_56)))).
% 224.43/223.13  all N_56 A_206 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_206))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_206),N_56)))).
% 224.43/223.13  all N_55 A_205 B_156 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_205),B_156))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_205))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_205),N_55)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_156),N_55))))).
% 224.43/223.13  all N_55 A_205 B_156 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_205),B_156))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_205))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_205),N_55)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_156),N_55))))).
% 224.43/223.13  all N_55 A_205 B_156 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_205),B_156))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_205))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_205),N_55)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_156),N_55))))).
% 224.43/223.13  all N_55 A_205 B_156 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_205),B_156))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_205))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_205),N_55)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_156),N_55))))).
% 224.43/223.13  all N_55 A_205 B_156 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_205),B_156))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_205))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_205),N_55)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_156),N_55))))).
% 224.43/223.13  all N_55 A_205 B_156 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_205),B_156))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_205))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_205),N_55)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_156),N_55))))).
% 224.43/223.13  all N_54 A_204 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_204))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_204),N_54)))).
% 224.43/223.13  all N_54 A_204 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_204))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_204),N_54)))).
% 224.43/223.13  all N_54 A_204 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_204))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_204),N_54)))).
% 224.43/223.13  all N_54 A_204 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_204))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_204),N_54)))).
% 224.43/223.13  all N_54 A_204 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_204))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_204),N_54)))).
% 224.43/223.13  all N_54 A_204 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_204))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_204),N_54)))).
% 224.43/223.13  all Z_1 X_1 Y_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),Y_1)),one_one_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Y_1),Z_1))),one_one_int),P_3))).
% 224.43/223.13  all K_1 N Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Ma))))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))).
% 224.43/223.13  all C X_2 Ta A D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),D))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),Ta)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D))),Ta))))).
% 224.43/223.13  all A_203 N_53 B_155 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_203),N_53)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_155),N_53)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_155))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_203),B_155)))).
% 224.43/223.13  all A_203 N_53 B_155 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_203),N_53)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_155),N_53)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_155))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_203),B_155)))).
% 224.43/223.13  all A_203 N_53 B_155 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_203),N_53)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_155),N_53)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_155))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_203),B_155)))).
% 224.43/223.13  all A_203 N_53 B_155 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_203),N_53)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_155),N_53)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_155))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_203),B_155)))).
% 224.43/223.13  all A_203 N_53 B_155 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_203),N_53)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_155),N_53)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_155))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_203),B_155)))).
% 224.43/223.13  all A_203 N_53 B_155 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_203),N_53)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_155),N_53)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_155))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_203),B_155)))).
% 224.43/223.13  all A_202 N_52 N_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_52),N_51))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_202))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_202),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_202),N_51)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_202),N_52)))))).
% 224.43/223.13  all A_202 N_52 N_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_52),N_51))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_202))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_202),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_202),N_51)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_202),N_52)))))).
% 224.43/223.13  all A_202 N_52 N_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_52),N_51))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_202))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_202),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_202),N_51)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_202),N_52)))))).
% 224.43/223.13  all A_202 N_52 N_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_52),N_51))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_202))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_202),one_on1645066479umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_202),N_51)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_202),N_52)))))).
% 224.43/223.13  all A_202 N_52 N_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_52),N_51))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_202))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_202),one_on1684967323de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_202),N_51)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_202),N_52)))))).
% 224.43/223.13  all A_202 N_52 N_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_52),N_51))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_202))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_202),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_202),N_51)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_202),N_52)))))).
% 224.43/223.13  all A_201 N_50 N_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_50),N_49))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_201))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_201),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_201),N_49)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_201),N_50)))))).
% 224.43/223.13  all A_201 N_50 N_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_50),N_49))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_201))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_201),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_201),N_49)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_201),N_50)))))).
% 224.43/223.13  all A_201 N_50 N_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_50),N_49))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_201))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_201),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_201),N_49)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_201),N_50)))))).
% 224.43/223.13  all A_201 N_50 N_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_50),N_49))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_201))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_201),one_on1645066479umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_201),N_49)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_201),N_50)))))).
% 224.43/223.13  all A_201 N_50 N_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_50),N_49))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_201))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_201),one_on1684967323de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_201),N_49)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_201),N_50)))))).
% 224.43/223.13  all A_201 N_50 N_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_50),N_49))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_201))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_201),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_201),N_49)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_201),N_50)))))).
% 224.43/223.13  all A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))).
% 224.43/223.13  all A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))).
% 224.43/223.13  all A (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),zero_zero_rat))).
% 224.43/223.13  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),X_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))=zero_zero_int<->X_2=zero_zero_int&Y_2=zero_zero_int)).
% 224.43/223.13  all X_2 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),X_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real).
% 224.43/223.13  all X_2 Y_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_2),X_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))=zero_zero_rat<->X_2=zero_zero_rat&Y_2=zero_zero_rat).
% 224.43/223.13  all C_89 D_17 A_200 B_154 R_8 (is_int(C_89)&is_int(D_17)&is_int(R_8)-> (R_8!=zero_zero_int-> (A_200=B_154&C_89!=D_17->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_200),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_8),C_89))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_154),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_8),D_17))))).
% 224.43/223.13  all C_89 D_17 A_200 B_154 R_8 (R_8!=zero_zero_nat-> (A_200=B_154&C_89!=D_17->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_200),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,R_8),C_89))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_154),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,R_8),D_17)))).
% 224.43/223.13  all C_89 D_17 A_200 B_154 R_8 (R_8!=zero_zero_real-> (A_200=B_154&C_89!=D_17->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_200),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_8),C_89))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_154),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_8),D_17)))).
% 224.43/223.13  all C_89 D_17 A_200 B_154 R_8 (R_8!=zero_zero_complex-> (A_200=B_154&C_89!=D_17->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_200),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,R_8),C_89))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_154),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,R_8),D_17)))).
% 224.43/223.13  all C_89 D_17 A_200 B_154 R_8 (R_8!=zero_zero_rat-> (A_200=B_154&C_89!=D_17->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_200),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,R_8),C_89))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_154),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,R_8),D_17)))).
% 224.43/223.13  all A_3 N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),A_3)))).
% 224.43/223.13  zero_zero_int=hAPP_int_int(number_number_of_int,pls).
% 224.43/223.13  zero_zero_real=hAPP_int_real(number267125858f_real,pls).
% 224.43/223.13  zero_zero_complex=hAPP_int_complex(number528085621omplex,pls).
% 224.43/223.13  zero_zero_rat=hAPP_int_rat(number_number_of_rat,pls).
% 224.43/223.13  hAPP_int_int(number_number_of_int,pls)=zero_zero_int.
% 224.43/223.13  hAPP_int_real(number267125858f_real,pls)=zero_zero_real.
% 224.43/223.13  hAPP_int_complex(number528085621omplex,pls)=zero_zero_complex.
% 224.43/223.13  hAPP_int_rat(number_number_of_rat,pls)=zero_zero_rat.
% 224.43/223.13  hAPP_int_int(number_number_of_int,pls)=zero_zero_int.
% 224.43/223.13  hAPP_int_nat(number_number_of_nat,pls)=zero_zero_nat.
% 224.43/223.13  hAPP_int_real(number267125858f_real,pls)=zero_zero_real.
% 224.43/223.13  hAPP_int_complex(number528085621omplex,pls)=zero_zero_complex.
% 224.43/223.13  hAPP_int_rat(number_number_of_rat,pls)=zero_zero_rat.
% 224.43/223.13  all W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,W_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int))).
% 224.43/223.13  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 224.43/223.13  all W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,W_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),zero_zero_int))).
% 224.43/223.13  zero_zero_int=hAPP_int_int(number_number_of_int,pls).
% 224.43/223.13  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 224.43/223.13  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2)))).
% 224.43/223.13  all K_2 I J_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),I)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),J_2))))).
% 224.43/223.13  all Z_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z_1)),Z_1)!=zero_zero_int).
% 224.43/223.13  all N_48 A_199 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_199))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_199),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_199),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_199),N_48))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_199),N_48))))).
% 224.43/223.13  all N_48 A_199 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_199))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_199),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_199),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_199),N_48))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_199),N_48))))).
% 224.43/223.13  all N_48 A_199 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_199))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_199),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_199),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_199),N_48))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_199),N_48))))).
% 224.43/223.13  all N_48 A_199 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_199))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_199),one_on1645066479umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_199),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_199),N_48))),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_199),N_48))))).
% 224.43/223.13  all N_48 A_199 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_199))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_199),one_on1684967323de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_199),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_199),N_48))),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_199),N_48))))).
% 224.43/223.13  all N_48 A_199 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_199))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_199),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_199),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_199),N_48))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_199),N_48))))).
% 224.43/223.13  all N_1 B_2 A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),B_2))))).
% 224.43/223.13  all N_1 A_3 B_2 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,P_3),N_1)),A_3))))).
% 224.43/223.13  all X_40 Y_32 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_40),X_40)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_32),Y_32)))).
% 224.43/223.13  all X_40 Y_32 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_40),X_40)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_32),Y_32)))).
% 224.43/223.13  all X_40 Y_32 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_40),X_40)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_32),Y_32)))).
% 224.43/223.13  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),X_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))),zero_zero_int))<->X_2=zero_zero_int&Y_2=zero_zero_int)).
% 224.43/223.13  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),X_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))),zero_zero_real))<->X_2=zero_zero_real&Y_2=zero_zero_real).
% 224.43/223.13  all X_2 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_2),X_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))),zero_zero_rat))<->X_2=zero_zero_rat&Y_2=zero_zero_rat).
% 224.43/223.13  all V V_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),V_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_1)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),V_1))).
% 224.43/223.13  all X_39 Y_31 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_39),X_39)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_31),Y_31))),zero_zero_int))).
% 224.43/223.13  all X_39 Y_31 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_39),X_39)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_31),Y_31))),zero_zero_real))).
% 224.43/223.13  all X_39 Y_31 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_39),X_39)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_31),Y_31))),zero_zero_rat))).
% 224.43/223.13  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),X_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_2),Y_2))))<->X_2!=zero_zero_int|Y_2!=zero_zero_int)).
% 224.43/223.13  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),X_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))))<->X_2!=zero_zero_real|Y_2!=zero_zero_real).
% 224.43/223.13  all X_2 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_2),X_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_2),Y_2))))<->X_2!=zero_zero_rat|Y_2!=zero_zero_rat).
% 224.43/223.13  all V V_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1)))<-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),V_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls)))).
% 224.43/223.13  all W_6 (hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W_6))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),hAPP_int_int(number_number_of_int,W_6))),hAPP_int_int(number_number_of_int,W_6))).
% 224.43/223.13  all W_6 (hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,W_6))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),hAPP_int_real(number267125858f_real,W_6))),hAPP_int_real(number267125858f_real,W_6))).
% 224.43/223.13  all W_6 (hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,W_6))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),hAPP_int_complex(number528085621omplex,W_6))),hAPP_int_complex(number528085621omplex,W_6))).
% 224.43/223.13  all W_6 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,W_6))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),hAPP_int_rat(number_number_of_rat,W_6))),hAPP_int_rat(number_number_of_rat,W_6))).
% 224.43/223.13  all A_198 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_198),one_one_nat)=A_198).
% 224.43/223.13  all A_198 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_198),one_one_nat)=A_198).
% 224.43/223.13  all A_198 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_198),one_one_nat)=A_198).
% 224.43/223.13  all A_198 (is_int(A_198)->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_198),one_one_nat)=A_198).
% 224.43/223.13  all A_198 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_198),one_one_nat)=A_198).
% 224.43/223.13  all A_198 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_198),one_one_nat)=A_198).
% 224.43/223.13  all A_198 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_198),one_one_nat)=A_198).
% 224.43/223.13  all Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Z_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))).
% 224.43/223.13  all N Ma (is_int(N)&is_int(Ma)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),N)=one_one_int<->Ma=one_one_int&N=one_one_int))).
% 224.43/223.13  all Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z_2)),Z_2)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),zero_zero_int))).
% 224.43/223.13  all Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Y_2))).
% 224.43/223.13  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(number267125858f_real,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Y_2))).
% 224.43/223.13  all Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_int_rat(number_number_of_rat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Y_2))).
% 224.43/223.13  all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,X_2)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),pls))).
% 224.43/223.13  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,X_2)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),pls))).
% 224.43/223.13  all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,X_2)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),pls))).
% 224.43/223.13  all Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Y_2))).
% 224.43/223.13  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(number267125858f_real,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Y_2))).
% 224.43/223.13  all Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_int_rat(number_number_of_rat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Y_2))).
% 224.43/223.13  all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,X_2)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),pls))).
% 224.43/223.13  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,X_2)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),pls))).
% 224.43/223.13  all X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,X_2)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),pls))).
% 224.43/223.13  all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z_1)))).
% 224.43/223.13  hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int.
% 224.43/223.13  hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_nat.
% 224.43/223.13  hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_real.
% 224.43/223.13  hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_z126310315umeral.
% 224.43/223.13  hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_complex.
% 224.43/223.13  hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_z891286103de_int.
% 224.43/223.13  hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,zero_zero_rat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_rat.
% 224.43/223.13  all A (is_int(A)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int<->A=zero_zero_int)).
% 224.43/223.13  all A (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_real<->A=zero_zero_real).
% 224.43/223.13  all A (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_complex<->A=zero_zero_complex).
% 224.43/223.13  all A (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_rat<->A=zero_zero_rat).
% 224.43/223.13  all A_197 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_197),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.43/223.13  all A_197 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_197),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.43/223.13  all A_197 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_197),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.43/223.13  all X_38 Y_30 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_38),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_30),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_30))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_38),Y_30)))).
% 224.43/223.13  all X_38 Y_30 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_38),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_30),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_30))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_38),Y_30)))).
% 224.43/223.13  all X_38 Y_30 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_38),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_30),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_30))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_38),Y_30)))).
% 224.43/223.13  all X_38 Y_30 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_38),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_30),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_30))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,X_38),Y_30)))).
% 224.43/223.13  all X_38 Y_30 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_38),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_30),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_30))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_38),Y_30)))).
% 224.43/223.13  all X_38 Y_30 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_38),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_30),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_30))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_38),Y_30)))).
% 224.43/223.13  all X_37 Y_29 (is_int(X_37)&is_int(Y_29)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_37),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_29),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_37))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_29))->X_37=Y_29)))).
% 224.43/223.13  all X_37 Y_29 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_37),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_29),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_37))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_29))->X_37=Y_29))).
% 224.43/223.13  all X_37 Y_29 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_37),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_29),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_37))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_29))->X_37=Y_29))).
% 224.43/223.13  all X_37 Y_29 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_37),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_29),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),X_37))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_29))->X_37=Y_29))).
% 224.43/223.13  all X_37 Y_29 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_37),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_29),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),X_37))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_29))->X_37=Y_29))).
% 224.43/223.13  all X_37 Y_29 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_37),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_29),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_37))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_29))->X_37=Y_29))).
% 224.43/223.13  all A_196 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_196),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int))).
% 224.43/223.13  all A_196 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_196),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_real))).
% 224.43/223.13  all A_196 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_196),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_rat))).
% 224.43/223.13  all A (is_int(A)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<->A!=zero_zero_int)).
% 224.43/223.13  all A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<->A!=zero_zero_real).
% 224.43/223.13  all A (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<->A!=zero_zero_rat).
% 224.43/223.13  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_int<->X_2=zero_zero_int&Y_2=zero_zero_int)).
% 224.43/223.13  all X_2 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real).
% 224.43/223.13  all X_2 Y_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_rat<->X_2=zero_zero_rat&Y_2=zero_zero_rat).
% 224.43/223.13  all A_195 N_47 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_195),N_47)),A_195)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_195),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_195),N_47))).
% 224.43/223.13  all A_195 N_47 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_195),N_47)),A_195)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_195),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_195),N_47))).
% 224.43/223.13  all A_195 N_47 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_195),N_47)),A_195)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_195),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_195),N_47))).
% 224.43/223.13  all A_195 N_47 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_195),N_47)),A_195)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_195),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_195),N_47))).
% 224.43/223.13  all A_195 N_47 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_195),N_47)),A_195)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_195),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_195),N_47))).
% 224.43/223.13  all A_195 N_47 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_195),N_47)),A_195)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_195),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_195),N_47))).
% 224.43/223.13  all A_195 N_47 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_195),N_47)),A_195)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_195),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_195),N_47))).
% 224.43/223.13  all A_194 B_153 N_46 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_194),B_153)),N_46)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_194),N_46)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_153),N_46))).
% 224.43/223.13  all A_194 B_153 N_46 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_194),B_153)),N_46)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_194),N_46)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_153),N_46))).
% 224.43/223.13  all A_194 B_153 N_46 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_194),B_153)),N_46)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_194),N_46)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_153),N_46))).
% 224.43/223.13  all A_194 B_153 N_46 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_194),B_153)),N_46)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_194),N_46)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_153),N_46))).
% 224.43/223.13  all A_194 B_153 N_46 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_194),B_153)),N_46)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_194),N_46)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_153),N_46))).
% 224.43/223.13  all A_194 B_153 N_46 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_194),B_153)),N_46)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_194),N_46)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_153),N_46))).
% 224.43/223.13  all A_194 B_153 N_46 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_194),B_153)),N_46)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_194),N_46)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,B_153),N_46))).
% 224.43/223.13  all A_193 M_21 N_45 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_193),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_21),N_45))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_193),M_21)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_193),N_45))).
% 224.43/223.13  all A_193 M_21 N_45 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_193),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_21),N_45))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_193),M_21)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_193),N_45))).
% 224.43/223.13  all A_193 M_21 N_45 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_193),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_21),N_45))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_193),M_21)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_193),N_45))).
% 224.43/223.13  all A_193 M_21 N_45 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_193),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_21),N_45))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_193),M_21)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_193),N_45))).
% 224.43/223.13  all A_193 M_21 N_45 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_193),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_21),N_45))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_193),M_21)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_193),N_45))).
% 224.43/223.13  all A_193 M_21 N_45 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_193),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_21),N_45))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_193),M_21)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_193),N_45))).
% 224.43/223.13  all A_193 M_21 N_45 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_193),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_21),N_45))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_193),M_21)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_193),N_45))).
% 224.43/223.13  all N_44 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,one_one_int),N_44)=one_one_int).
% 224.43/223.13  all N_44 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,one_one_nat),N_44)=one_one_nat).
% 224.43/223.13  all N_44 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,one_one_real),N_44)=one_one_real).
% 224.43/223.13  all N_44 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,one_on1645066479umeral),N_44)=one_on1645066479umeral).
% 224.43/223.13  all N_44 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,one_one_complex),N_44)=one_one_complex).
% 224.43/223.13  all N_44 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,one_on1684967323de_int),N_44)=one_on1684967323de_int).
% 224.43/223.13  all N_44 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,one_one_rat),N_44)=one_one_rat).
% 224.43/223.13  all A_192 M_20 N_43 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_192),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_20),N_43))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_192),M_20)),N_43)).
% 224.43/223.13  all A_192 M_20 N_43 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_192),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_20),N_43))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_192),M_20)),N_43)).
% 224.43/223.14  all A_192 M_20 N_43 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_192),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_20),N_43))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_192),M_20)),N_43)).
% 224.43/223.14  all A_192 M_20 N_43 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_192),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_20),N_43))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_192),M_20)),N_43)).
% 224.43/223.14  all A_192 M_20 N_43 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_192),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_20),N_43))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_192),M_20)),N_43)).
% 224.43/223.14  all A_192 M_20 N_43 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_192),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_20),N_43))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_192),M_20)),N_43)).
% 224.43/223.14  all A_192 M_20 N_43 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_192),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_20),N_43))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_192),M_20)),N_43)).
% 224.43/223.14  all X_36 Y_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_36),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_28),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_28))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_36),Y_28)))).
% 224.43/223.14  all X_36 Y_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_36),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_28),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_28))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_36),Y_28)))).
% 224.43/223.14  all X_36 Y_28 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_36),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_28),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_28))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_36),Y_28)))).
% 224.43/223.14  all X_36 Y_28 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_36),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_28),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_28))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,X_36),Y_28)))).
% 224.43/223.14  all X_36 Y_28 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_36),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_28),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_28))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_36),Y_28)))).
% 224.43/223.14  all X_36 Y_28 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_36),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_28),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_28))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_36),Y_28)))).
% 224.43/223.14  all X_35 Y_27 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_35),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_27),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.43/223.14  all X_35 Y_27 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_35),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_27),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.43/223.14  all X_35 Y_27 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_35),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_27),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.43/223.14  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_int))<->X_2=zero_zero_int&Y_2=zero_zero_int)).
% 224.43/223.14  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_real))<->X_2=zero_zero_real&Y_2=zero_zero_real).
% 224.43/223.14  all X_2 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_rat))<->X_2=zero_zero_rat&Y_2=zero_zero_rat).
% 224.43/223.14  all X_34 Y_26 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_34),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_int))).
% 224.43/223.14  all X_34 Y_26 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_34),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_real))).
% 224.43/223.14  all X_34 Y_26 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_34),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_rat))).
% 224.43/223.14  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))<->X_2!=zero_zero_int|Y_2!=zero_zero_int)).
% 224.43/223.14  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))<->X_2!=zero_zero_real|Y_2!=zero_zero_real).
% 224.43/223.14  all X_2 Y_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))<->X_2!=zero_zero_rat|Y_2!=zero_zero_rat).
% 224.43/223.14  all A_191 N_42 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_191),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_42)))).
% 224.43/223.14  all A_191 N_42 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_191),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_42)))).
% 224.43/223.14  all A_191 N_42 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_191),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_42)))).
% 224.43/223.14  all N_41 A_190 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_190))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_190),N_41)))).
% 224.43/223.14  all N_41 A_190 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_190))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_190),N_41)))).
% 224.43/223.14  all N_41 A_190 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_190))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_190),N_41)))).
% 224.43/223.14  all N_41 A_190 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),A_190))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_190),N_41)))).
% 224.43/223.14  all N_41 A_190 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),A_190))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_190),N_41)))).
% 224.43/223.14  all N_41 A_190 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),A_190))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_190),N_41)))).
% 224.43/223.14  all A_189 N_40 N_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_40),N_39))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_189))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_189),N_40)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_189),N_39))))).
% 224.43/223.14  all A_189 N_40 N_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_40),N_39))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_189))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_189),N_40)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_189),N_39))))).
% 224.43/223.14  all A_189 N_40 N_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_40),N_39))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_189))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_189),N_40)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_189),N_39))))).
% 224.43/223.14  all A_189 N_40 N_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_40),N_39))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),A_189))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_189),N_40)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_189),N_39))))).
% 224.43/223.14  all A_189 N_40 N_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_40),N_39))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),A_189))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_189),N_40)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_189),N_39))))).
% 224.43/223.14  all A_189 N_40 N_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_40),N_39))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),A_189))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_189),N_40)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_189),N_39))))).
% 224.43/223.14  all Ma N A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),Ma)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),N)<->Ma=N)).
% 224.43/223.14  all Ma N A (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),N)<->Ma=N)).
% 224.43/223.14  all Ma N A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))-> (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),Ma)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),N)<->Ma=N)).
% 224.43/223.14  all Ma N A (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A))-> (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),Ma)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),N)<->Ma=N)).
% 224.43/223.14  all Ma N A (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A))-> (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),Ma)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),N)<->Ma=N)).
% 224.43/223.14  all Ma N A (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A))-> (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),Ma)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),N)<->Ma=N)).
% 224.43/223.14  all X_2 Y_2 B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),X_2)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)))).
% 224.43/223.14  all X_2 Y_2 B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)))).
% 224.43/223.14  all X_2 Y_2 B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),X_2)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)))).
% 224.43/223.14  all X_2 Y_2 B (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),B))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B),X_2)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)))).
% 224.43/223.14  all X_2 Y_2 B (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),B))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B),X_2)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)))).
% 224.43/223.14  all X_2 Y_2 B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B),X_2)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2)))).
% 224.43/223.14  all M_19 N_38 A_188 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_188))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_188),M_19)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_188),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_19),N_38)))).
% 224.43/223.14  all M_19 N_38 A_188 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_188))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_188),M_19)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_188),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_19),N_38)))).
% 224.43/223.14  all M_19 N_38 A_188 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_188))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_188),M_19)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_188),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_19),N_38)))).
% 224.43/223.14  all M_19 N_38 A_188 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_188))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_188),M_19)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_188),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_19),N_38)))).
% 224.43/223.14  all M_19 N_38 A_188 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_188))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_188),M_19)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_188),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_19),N_38)))).
% 224.43/223.14  all M_19 N_38 A_188 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_188))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_188),M_19)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_188),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_19),N_38)))).
% 224.43/223.14  all A_187 N_37 N_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_37),N_36))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_187))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_187),N_37)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_187),N_36))))).
% 224.43/223.14  all A_187 N_37 N_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_37),N_36))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_187))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_187),N_37)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_187),N_36))))).
% 224.43/223.14  all A_187 N_37 N_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_37),N_36))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_187))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_187),N_37)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_187),N_36))))).
% 224.43/223.14  all A_187 N_37 N_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_37),N_36))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_187))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_187),N_37)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_187),N_36))))).
% 224.43/223.14  all A_187 N_37 N_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_37),N_36))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_187))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_187),N_37)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_187),N_36))))).
% 224.43/223.14  all A_187 N_37 N_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_37),N_36))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_187))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_187),N_37)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_187),N_36))))).
% 224.43/223.14  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 224.43/223.14  all Y_1 X_1 P_3 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_1),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y_1)))).
% 224.43/223.14  all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->X_1=zero_zero_int|X_1=one_one_int))).
% 224.43/223.14  all A_186 K_8 (is_int(A_186)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_186),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_8))),zero_zero_int))->A_186=zero_zero_int)).
% 224.43/223.14  all A_186 K_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_186),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_8))),zero_zero_real))->A_186=zero_zero_real).
% 224.43/223.14  all A_186 K_8 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_186),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_8))),zero_zero_rat))->A_186=zero_zero_rat).
% 224.43/223.14  all P_5 (is_int(P_5)-> (hBOOL(hAPP_int_bool(zprime,P_5))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),P_5))& (all M_1 (is_int(M_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M_1),P_5))->M_1=one_one_int|M_1=P_5))))).
% 224.43/223.14  all R_3 Q_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (A_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),Q_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),one_one_int))))).
% 224.43/223.14  all R_3 Q_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (A_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),Q_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),A_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q_2))))).
% 224.43/223.14  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.14  all V_10 U_3 Y_25 X_33 A_185 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_33),A_185))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_25),A_185))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_10))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U_3),V_10)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,U_3),X_33)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_10),Y_25))),A_185))))))).
% 224.43/223.14  all V_10 U_3 Y_25 X_33 A_185 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_33),A_185))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_25),A_185))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),U_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),V_10))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,U_3),V_10)=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_3),X_33)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,V_10),Y_25))),A_185))))))).
% 224.43/223.14  all V_10 U_3 Y_25 X_33 A_185 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_33),A_185))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_25),A_185))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),U_3))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),V_10))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,U_3),V_10)=one_one_rat->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,U_3),X_33)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,V_10),Y_25))),A_185))))))).
% 224.43/223.14  all N_1 P_3 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1))))).
% 224.43/223.14  all B_2 A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)),zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_2),zero_zero_int),P_3))))).
% 224.43/223.14  all A_184 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_184),zero_zero_real)).
% 224.43/223.14  all A_184 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_184),zero_z126310315umeral)).
% 224.43/223.14  all A_184 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_184),zero_zero_complex)).
% 224.43/223.14  all A_184 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_184),zero_z891286103de_int)).
% 224.43/223.14  all A_184 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_184),zero_zero_rat)).
% 224.43/223.14  all A_184 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_184),zero_zero_int)).
% 224.43/223.14  all A_184 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_184),zero_zero_nat)).
% 224.43/223.14  -(all S1 (is_int(S1)-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,S1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))))).
% 224.43/223.14  hAPP_int_int(legendre(hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))=one_one_int.
% 224.43/223.14  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_2))|N=zero_zero_nat).
% 224.43/223.14  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),N)))<->N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_2))).
% 224.43/223.14  all M N_1 I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),I))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)))).
% 224.43/223.14  all X_2 W_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),hAPP_int_nat(number_number_of_nat,W_1))))<->hAPP_int_nat(number_number_of_nat,W_1)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_2))).
% 224.43/223.14  all K_1 (is_int(K_1)-> (hAPP_int_int(bit1,K_1)=min<->K_1=min)).
% 224.43/223.14  all L (is_int(L)-> (min=hAPP_int_int(bit1,L)<->min=L)).
% 224.43/223.14  hAPP_int_int(bit1,min)=min.
% 224.43/223.14  pls!=min.
% 224.43/223.14  min!=pls.
% 224.43/223.14  all K_2 (hAPP_int_int(bit0,K_2)!=min).
% 224.43/223.14  all L_2 (min!=hAPP_int_int(bit0,L_2)).
% 224.43/223.14  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)).
% 224.43/223.14  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),min)).
% 224.43/223.14  all X_2 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),X_2)))<->X_2=zero_zero_real).
% 224.43/223.14  all P_3 Y_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_1),N_1))))).
% 224.43/223.14  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K_1)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),min))).
% 224.43/223.14  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit1,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1))).
% 224.43/223.14  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)).
% 224.43/223.14  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 224.43/223.14  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit0,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1))).
% 224.43/223.14  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)).
% 224.43/223.14  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K_1)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min))).
% 224.43/223.14  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit1,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),K_1))).
% 224.43/223.14  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),min)).
% 224.43/223.14  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),pls)).
% 224.43/223.14  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K_1)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min))).
% 224.43/223.14  hAPP_int_int(number_number_of_int,pls)!=hAPP_int_int(number_number_of_int,min).
% 224.43/223.14  all I M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),I))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1)))).
% 224.43/223.14  all X_32 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_32),zero_zero_nat)=one_one_int).
% 224.43/223.14  all X_32 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_32),zero_zero_nat)=one_one_nat).
% 224.43/223.14  all X_32 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_32),zero_zero_nat)=one_one_real).
% 224.43/223.14  all X_32 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_32),zero_zero_nat)=one_on1645066479umeral).
% 224.43/223.14  all X_32 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_32),zero_zero_nat)=one_one_complex).
% 224.43/223.14  all X_32 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_32),zero_zero_nat)=one_on1684967323de_int).
% 224.43/223.14  all X_32 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_32),zero_zero_nat)=one_one_rat).
% 224.43/223.14  all A_183 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_183),zero_zero_nat)=one_one_int).
% 224.43/223.14  all A_183 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_183),zero_zero_nat)=one_one_nat).
% 224.43/223.14  all A_183 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_183),zero_zero_nat)=one_one_real).
% 224.43/223.14  all A_183 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_183),zero_zero_nat)=one_on1645066479umeral).
% 224.43/223.14  all A_183 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_183),zero_zero_nat)=one_one_complex).
% 224.43/223.14  all A_183 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_183),zero_zero_nat)=one_on1684967323de_int).
% 224.43/223.14  all A_183 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_183),zero_zero_nat)=one_one_rat).
% 224.43/223.14  hAPP_int_nat(number_number_of_nat,pls)=zero_zero_nat.
% 224.43/223.14  zero_zero_nat=hAPP_int_nat(number_number_of_nat,pls).
% 224.43/223.14  all Y_1 N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_1),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y_1))))).
% 224.43/223.14  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit0,K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K_1))).
% 224.43/223.14  all K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K_1)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),min))).
% 224.43/223.14  all M N_1 (is_int(M)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1)=one_one_int->M=one_one_int|M=hAPP_int_int(number_number_of_int,min))).
% 224.43/223.14  all Ma N (is_int(Ma)&is_int(N)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),N)=one_one_int<->Ma=one_one_int&N=one_one_int|Ma=hAPP_int_int(number_number_of_int,min)&N=hAPP_int_int(number_number_of_int,min))).
% 224.43/223.14  all X_31 Y_24 (is_int(X_31)&is_int(Y_24)-> (X_31!=Y_24-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_31),Y_24))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_24),X_31))))).
% 224.43/223.14  all X_31 Y_24 (X_31!=Y_24-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_31),Y_24))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_24),X_31)))).
% 224.43/223.14  all X_31 Y_24 (X_31!=Y_24-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_31),Y_24))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_24),X_31)))).
% 224.43/223.14  all N_35 A_182 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_182))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_35))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_182),N_35))))).
% 224.43/223.14  all N_35 A_182 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_182))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_35))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_182),N_35))))).
% 224.43/223.14  all N_35 A_182 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_182))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_35))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_182),N_35))))).
% 224.43/223.14  all N_35 A_182 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_182))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_35))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_182),N_35))))).
% 224.43/223.14  all N_35 A_182 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_182))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_35))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_182),N_35))))).
% 224.43/223.14  all N_35 A_182 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_182))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_35))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_182),N_35))))).
% 224.43/223.14  all A_181 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_181),A_181)).
% 224.43/223.14  all A_181 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_181),A_181)).
% 224.43/223.14  all A_181 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_181),A_181)).
% 224.43/223.14  all A_181 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_181),A_181)).
% 224.43/223.14  all A_181 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_181),A_181)).
% 224.43/223.14  all A_181 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_181),A_181)).
% 224.43/223.14  all A_181 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_181),A_181)).
% 224.43/223.14  all C_88 A_180 B_152 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_180),B_152))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,B_152),C_88))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_180),C_88)))).
% 224.43/223.14  all C_88 A_180 B_152 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_180),B_152))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,B_152),C_88))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_180),C_88)))).
% 224.43/223.14  all C_88 A_180 B_152 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_180),B_152))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,B_152),C_88))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_180),C_88)))).
% 224.43/223.14  all C_88 A_180 B_152 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_180),B_152))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,B_152),C_88))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_180),C_88)))).
% 224.43/223.14  all C_88 A_180 B_152 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_180),B_152))-> (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,B_152),C_88))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_180),C_88)))).
% 224.43/223.14  all C_88 A_180 B_152 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_180),B_152))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_152),C_88))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_180),C_88)))).
% 224.43/223.14  all C_88 A_180 B_152 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_180),B_152))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_152),C_88))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_180),C_88)))).
% 224.43/223.14  all X_30 N_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_34))|X_30=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_30),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_30),N_34)))).
% 224.43/223.14  all X_30 N_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_34))|X_30=one_on1645066479umeral->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,X_30),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_30),N_34)))).
% 224.43/223.14  all X_30 N_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_34))|X_30=one_one_complex->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_30),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_30),N_34)))).
% 224.43/223.14  all X_30 N_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_34))|X_30=one_on1684967323de_int->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,X_30),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_30),N_34)))).
% 224.43/223.14  all X_30 N_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_34))|X_30=one_one_rat->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_30),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_30),N_34)))).
% 224.43/223.14  all X_30 N_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_34))|X_30=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_30),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_30),N_34)))).
% 224.43/223.14  all X_30 N_34 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_34))|X_30=one_one_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_30),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_30),N_34)))).
% 224.43/223.14  all V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,V)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V))).
% 224.43/223.14  all V (hAPP_int_nat(number_number_of_nat,V)=zero_zero_nat<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls))).
% 224.43/223.14  all V (zero_zero_nat=hAPP_int_nat(number_number_of_nat,V)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V),pls))).
% 224.43/223.14  all A B Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B),A),Ma))).
% 224.43/223.14  all K_2 M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),K_2),M)).
% 224.43/223.14  all D_3 C_1 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))-> (B_2=C_1-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),D_3),M))))).
% 224.43/223.14  all C_1 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_2),C_1),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),C_1),M)))).
% 224.43/223.14  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.43/223.14  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),hAPP_int_int(number_number_of_int,min)),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),one_one_int),P_3)))).
% 224.43/223.14  all V_3 K_2 V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),V_3))),K_2))).
% 224.43/223.14  all V_3 V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_2),V_3)))).
% 224.43/223.14  all X_29 Y_23 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,X_29),Y_23))-> (X_29!=Y_23->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,X_29),Y_23)))).
% 224.43/223.14  all X_29 Y_23 (is_int(X_29)&is_int(Y_23)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_29),Y_23))-> (X_29!=Y_23->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_29),Y_23))))).
% 224.43/223.14  all X_29 Y_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_29),Y_23))-> (X_29!=Y_23->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_29),Y_23)))).
% 224.43/223.14  all X_29 Y_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_29),Y_23))-> (X_29!=Y_23->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_29),Y_23)))).
% 224.43/223.14  all X_29 Y_23 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_29),Y_23))-> (X_29!=Y_23->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_29),Y_23)))).
% 224.43/223.14  all X_2 Y_2 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,X_2),Y_2))-> (X_2!=Y_2->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,X_2),Y_2)))).
% 224.43/223.14  all X_2 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,X_2),Y_2))-> (X_2!=Y_2->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,X_2),Y_2)))).
% 224.43/223.14  all X_29 Y_23 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_29),Y_23))-> (X_29!=Y_23->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_29),Y_23)))).
% 224.43/223.14  all A_179 B_151 (is_int(A_179)&is_int(B_151)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_179),B_151)=zero_zero_int->A_179=zero_zero_int|B_151=zero_zero_int)).
% 224.43/223.14  all A_179 B_151 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_179),B_151)=zero_zero_nat->A_179=zero_zero_nat|B_151=zero_zero_nat).
% 224.43/223.14  all A_179 B_151 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_179),B_151)=zero_zero_real->A_179=zero_zero_real|B_151=zero_zero_real).
% 224.43/223.14  all A_179 B_151 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_179),B_151)=zero_z126310315umeral->A_179=zero_z126310315umeral|B_151=zero_z126310315umeral).
% 224.43/223.14  all A_179 B_151 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_179),B_151)=zero_zero_complex->A_179=zero_zero_complex|B_151=zero_zero_complex).
% 224.43/223.14  all A_179 B_151 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_179),B_151)=zero_z891286103de_int->A_179=zero_z891286103de_int|B_151=zero_z891286103de_int).
% 224.43/223.14  all A_179 B_151 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_179),B_151)=zero_zero_rat->A_179=zero_zero_rat|B_151=zero_zero_rat).
% 224.43/223.14  all B_150 A_178 (is_int(B_150)&is_int(A_178)-> (A_178!=zero_zero_int-> (B_150!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_178),B_150)!=zero_zero_int))).
% 224.43/223.14  all B_150 A_178 (A_178!=zero_zero_nat-> (B_150!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_178),B_150)!=zero_zero_nat)).
% 224.43/223.14  all B_150 A_178 (A_178!=zero_zero_real-> (B_150!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_178),B_150)!=zero_zero_real)).
% 224.43/223.14  all B_150 A_178 (A_178!=zero_z126310315umeral-> (B_150!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_178),B_150)!=zero_z126310315umeral)).
% 224.43/223.14  all B_150 A_178 (A_178!=zero_zero_complex-> (B_150!=zero_zero_complex->hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_178),B_150)!=zero_zero_complex)).
% 224.43/223.14  all B_150 A_178 (A_178!=zero_z891286103de_int-> (B_150!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_178),B_150)!=zero_z891286103de_int)).
% 224.43/223.14  all B_150 A_178 (A_178!=zero_zero_rat-> (B_150!=zero_zero_rat->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_178),B_150)!=zero_zero_rat)).
% 224.43/223.14  all A B (is_int(A)&is_int(B)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)=zero_zero_int<->A=zero_zero_int|B=zero_zero_int)).
% 224.43/223.14  all A B (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)=zero_zero_real<->A=zero_zero_real|B=zero_zero_real).
% 224.43/223.14  all A B (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),B)=zero_zero_complex<->A=zero_zero_complex|B=zero_zero_complex).
% 224.43/223.14  all A B (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)=zero_zero_rat<->A=zero_zero_rat|B=zero_zero_rat).
% 224.43/223.14  all A_177 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_177),zero_zero_int)=zero_zero_int).
% 224.43/223.14  all A_177 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_177),zero_zero_nat)=zero_zero_nat).
% 224.43/223.14  all A_177 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_177),zero_zero_real)=zero_zero_real).
% 224.43/223.14  all A_177 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_177),zero_z126310315umeral)=zero_z126310315umeral).
% 224.43/223.14  all A_177 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_177),zero_zero_complex)=zero_zero_complex).
% 224.43/223.14  all A_177 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_177),zero_z891286103de_int)=zero_z891286103de_int).
% 224.43/223.14  all A_177 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_177),zero_zero_rat)=zero_zero_rat).
% 224.43/223.14  all A_176 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),A_176)=zero_zero_int).
% 224.43/223.14  all A_176 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),A_176)=zero_zero_nat).
% 224.43/223.14  all A_176 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),A_176)=zero_zero_real).
% 224.43/223.14  all A_176 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,zero_z126310315umeral),A_176)=zero_z126310315umeral).
% 224.43/223.14  all A_176 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),A_176)=zero_zero_complex).
% 224.43/223.14  all A_176 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,zero_z891286103de_int),A_176)=zero_z891286103de_int).
% 224.43/223.14  all A_176 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,zero_zero_rat),A_176)=zero_zero_rat).
% 224.43/223.14  zero_zero_int!=one_one_int.
% 224.43/223.14  zero_zero_nat!=one_one_nat.
% 224.43/223.14  zero_zero_real!=one_one_real.
% 224.43/223.14  zero_z126310315umeral!=one_on1645066479umeral.
% 224.43/223.14  zero_zero_complex!=one_one_complex.
% 224.43/223.14  zero_z891286103de_int!=one_on1684967323de_int.
% 224.43/223.14  zero_zero_rat!=one_one_rat.
% 224.43/223.14  one_one_int!=zero_zero_int.
% 224.43/223.14  one_one_nat!=zero_zero_nat.
% 224.43/223.14  one_one_real!=zero_zero_real.
% 224.43/223.14  one_on1645066479umeral!=zero_z126310315umeral.
% 224.43/223.14  one_one_complex!=zero_zero_complex.
% 224.43/223.14  one_on1684967323de_int!=zero_z891286103de_int.
% 224.43/223.14  one_one_rat!=zero_zero_rat.
% 224.43/223.14  all A_175 E_3 B_149 C_87 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_175),E_3)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_149),E_3)),C_87))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_175),B_149)),E_3)),C_87)).
% 224.43/223.14  all A_175 E_3 B_149 C_87 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_175),E_3)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_149),E_3)),C_87))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_175),B_149)),E_3)),C_87)).
% 224.43/223.14  all A_175 E_3 B_149 C_87 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_175),E_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_149),E_3)),C_87))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_175),B_149)),E_3)),C_87)).
% 224.43/223.14  all A_175 E_3 B_149 C_87 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_175),E_3)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_149),E_3)),C_87))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_175),B_149)),E_3)),C_87)).
% 224.43/223.15  all A_175 E_3 B_149 C_87 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_175),E_3)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_149),E_3)),C_87))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_175),B_149)),E_3)),C_87)).
% 224.43/223.15  all A_175 E_3 B_149 C_87 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_175),E_3)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_149),E_3)),C_87))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_175),B_149)),E_3)),C_87)).
% 224.43/223.15  all A_175 E_3 B_149 C_87 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_175),E_3)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_149),E_3)),C_87))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_175),B_149)),E_3)),C_87)).
% 224.43/223.15  all A_174 B_148 C_86 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_174),B_148)),C_86)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_174),C_86)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_148),C_86))).
% 224.43/223.15  all A_174 B_148 C_86 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_174),B_148)),C_86)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_174),C_86)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_148),C_86))).
% 224.43/223.15  all A_174 B_148 C_86 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_174),B_148)),C_86)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_174),C_86)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_148),C_86))).
% 224.43/223.15  all A_174 B_148 C_86 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_174),B_148)),C_86)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_174),C_86)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_148),C_86))).
% 224.43/223.15  all A_174 B_148 C_86 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_174),B_148)),C_86)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_174),C_86)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_148),C_86))).
% 224.43/223.15  all A_174 B_148 C_86 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_174),B_148)),C_86)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_174),C_86)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_148),C_86))).
% 224.43/223.15  all A_174 B_148 C_86 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_174),B_148)),C_86)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_174),C_86)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_148),C_86))).
% 224.43/223.15  all A_173 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),A_173))->A_173=zero_zero_real).
% 224.43/223.15  all A_173 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,zero_z126310315umeral),A_173))->A_173=zero_z126310315umeral).
% 224.43/223.15  all A_173 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,zero_zero_complex),A_173))->A_173=zero_zero_complex).
% 224.43/223.15  all A_173 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,zero_z891286103de_int),A_173))->A_173=zero_z891286103de_int).
% 224.43/223.15  all A_173 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,zero_zero_rat),A_173))->A_173=zero_zero_rat).
% 224.43/223.15  all A_173 (is_int(A_173)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,zero_zero_int),A_173))->A_173=zero_zero_int)).
% 224.43/223.15  all A_173 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_173))->A_173=zero_zero_nat).
% 224.43/223.15  all A_172 B_147 C_85 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_172),B_147)),C_85))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,B_147),C_85))).
% 224.43/223.15  all A_172 B_147 C_85 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_172),B_147)),C_85))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,B_147),C_85))).
% 224.43/223.15  all A_172 B_147 C_85 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_172),B_147)),C_85))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,B_147),C_85))).
% 224.43/223.15  all A_172 B_147 C_85 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_172),B_147)),C_85))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,B_147),C_85))).
% 224.43/223.15  all A_172 B_147 C_85 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_172),B_147)),C_85))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,B_147),C_85))).
% 224.43/223.15  all A_172 B_147 C_85 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_172),B_147)),C_85))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_147),C_85))).
% 224.43/223.15  all A_172 B_147 C_85 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_172),B_147)),C_85))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_147),C_85))).
% 224.43/223.15  all A_171 B_146 C_84 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_171),B_146)),C_84))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_171),C_84))).
% 224.43/223.15  all A_171 B_146 C_84 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_171),B_146)),C_84))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_171),C_84))).
% 224.43/223.15  all A_171 B_146 C_84 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_171),B_146)),C_84))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_171),C_84))).
% 224.43/223.15  all A_171 B_146 C_84 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_171),B_146)),C_84))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_171),C_84))).
% 224.43/223.15  all A_171 B_146 C_84 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_171),B_146)),C_84))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_171),C_84))).
% 224.43/223.15  all A_171 B_146 C_84 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_171),B_146)),C_84))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_171),C_84))).
% 224.43/223.15  all A_171 B_146 C_84 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_171),B_146)),C_84))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_171),C_84))).
% 224.43/223.15  all A_170 B_145 K_7 (A_170=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_145),K_7)->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,B_145),A_170))).
% 224.43/223.15  all A_170 B_145 K_7 (A_170=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_145),K_7)->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,B_145),A_170))).
% 224.43/223.15  all A_170 B_145 K_7 (A_170=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_145),K_7)->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,B_145),A_170))).
% 224.43/223.15  all A_170 B_145 K_7 (A_170=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_145),K_7)->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,B_145),A_170))).
% 224.43/223.15  all A_170 B_145 K_7 (A_170=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_145),K_7)->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,B_145),A_170))).
% 224.43/223.15  all A_170 B_145 K_7 (A_170=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_145),K_7)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_145),A_170))).
% 224.43/223.15  all A_170 B_145 K_7 (A_170=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_145),K_7)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_145),A_170))).
% 224.43/223.15  all C_83 D_16 A_169 B_144 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_169),B_144))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,C_83),D_16))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_169),C_83)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_144),D_16))))).
% 224.43/223.15  all C_83 D_16 A_169 B_144 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_169),B_144))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,C_83),D_16))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_169),C_83)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_144),D_16))))).
% 224.43/223.15  all C_83 D_16 A_169 B_144 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_169),B_144))-> (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,C_83),D_16))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_169),C_83)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_144),D_16))))).
% 224.43/223.15  all C_83 D_16 A_169 B_144 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_169),B_144))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,C_83),D_16))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_169),C_83)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_144),D_16))))).
% 224.43/223.15  all C_83 D_16 A_169 B_144 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_169),B_144))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,C_83),D_16))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_169),C_83)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_144),D_16))))).
% 224.43/223.15  all C_83 D_16 A_169 B_144 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_169),B_144))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,C_83),D_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_169),C_83)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_144),D_16))))).
% 224.43/223.15  all C_83 D_16 A_169 B_144 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_169),B_144))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_83),D_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_169),C_83)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_144),D_16))))).
% 224.43/223.15  all B_143 A_168 C_82 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_168),C_82))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_168),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_143),C_82)))).
% 224.43/223.15  all B_143 A_168 C_82 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_168),C_82))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_168),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_143),C_82)))).
% 224.43/223.15  all B_143 A_168 C_82 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_168),C_82))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_168),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_143),C_82)))).
% 224.43/223.15  all B_143 A_168 C_82 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_168),C_82))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_168),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_143),C_82)))).
% 224.43/223.15  all B_143 A_168 C_82 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_168),C_82))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_168),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_143),C_82)))).
% 224.43/223.15  all B_143 A_168 C_82 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_168),C_82))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_168),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_143),C_82)))).
% 224.43/223.15  all B_143 A_168 C_82 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_168),C_82))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_168),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_143),C_82)))).
% 224.43/223.15  all C_81 A_167 B_142 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_167),B_142))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_167),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_142),C_81)))).
% 224.43/223.15  all C_81 A_167 B_142 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_167),B_142))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_167),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_142),C_81)))).
% 224.43/223.15  all C_81 A_167 B_142 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_167),B_142))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_167),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_142),C_81)))).
% 224.43/223.15  all C_81 A_167 B_142 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_167),B_142))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_167),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_142),C_81)))).
% 224.43/223.15  all C_81 A_167 B_142 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_167),B_142))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_167),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_142),C_81)))).
% 224.43/223.15  all C_81 A_167 B_142 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_167),B_142))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_167),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_142),C_81)))).
% 224.43/223.15  all C_81 A_167 B_142 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_167),B_142))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_167),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_142),C_81)))).
% 224.43/223.15  all A_166 B_141 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_166),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_141),A_166))).
% 224.43/223.15  all A_166 B_141 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_166),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_141),A_166))).
% 224.43/223.15  all A_166 B_141 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_166),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_141),A_166))).
% 224.43/223.15  all A_166 B_141 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_166),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_141),A_166))).
% 224.43/223.15  all A_166 B_141 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_166),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_141),A_166))).
% 224.43/223.15  all A_166 B_141 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_166),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_141),A_166))).
% 224.43/223.15  all A_166 B_141 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_166),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_141),A_166))).
% 224.43/223.15  all A_165 B_140 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_165),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_165),B_140))).
% 224.43/223.15  all A_165 B_140 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_165),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_165),B_140))).
% 224.43/223.15  all A_165 B_140 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_165),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_165),B_140))).
% 224.43/223.15  all A_165 B_140 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_165),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_165),B_140))).
% 224.43/223.15  all A_165 B_140 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_165),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_165),B_140))).
% 224.43/223.15  all A_165 B_140 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_165),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_165),B_140))).
% 224.43/223.15  all A_165 B_140 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_165),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_165),B_140))).
% 224.43/223.15  all C_80 A_164 B_139 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_164),B_139))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_164),C_80))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_164),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_139),C_80))))).
% 224.43/223.15  all C_80 A_164 B_139 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_164),B_139))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_164),C_80))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_164),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_139),C_80))))).
% 224.43/223.15  all C_80 A_164 B_139 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_164),B_139))-> (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_164),C_80))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_164),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_139),C_80))))).
% 224.43/223.15  all C_80 A_164 B_139 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_164),B_139))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_164),C_80))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_164),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_139),C_80))))).
% 224.43/223.15  all C_80 A_164 B_139 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_164),B_139))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_164),C_80))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_164),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_139),C_80))))).
% 224.43/223.15  all C_80 A_164 B_139 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_164),B_139))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_164),C_80))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_164),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_139),C_80))))).
% 224.43/223.15  all C_80 A_164 B_139 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_164),B_139))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_164),C_80))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_164),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_139),C_80))))).
% 224.43/223.15  all A_163 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,one_one_real),A_163)).
% 224.43/223.15  all A_163 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,one_on1645066479umeral),A_163)).
% 224.43/223.15  all A_163 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,one_one_complex),A_163)).
% 224.43/223.15  all A_163 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,one_on1684967323de_int),A_163)).
% 224.43/223.15  all A_163 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,one_one_rat),A_163)).
% 224.43/223.15  all A_163 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),A_163)).
% 224.43/223.15  all A_163 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_163)).
% 224.43/223.15  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 224.43/223.15  all B_2 A_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),C_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),A_3)))).
% 224.43/223.15  all A B (is_int(A)&is_int(B)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),zero_zero_int))<->A=B)).
% 224.43/223.15  all M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(M),zero_zero_int),M)).
% 224.43/223.15  all A_3 B_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),one_one_int)).
% 224.43/223.15  all C_1 D_3 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),C_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),D_3)),M)))).
% 224.43/223.15  all K_2 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),A_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),B_2)),M))).
% 224.43/223.15  all K_2 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),K_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),K_2)),M))).
% 224.43/223.15  all C D A B Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),A)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),B)),Ma)))).
% 224.43/223.15  all C D A B Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D)),Ma)))).
% 224.43/223.15  all A_3 M B_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),M)),M)).
% 224.43/223.15  all C_1 D_3 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),C_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_2),D_3)),M)))).
% 224.43/223.15  all C_1 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),C_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_2),C_1)),M))).
% 224.43/223.15  all Z_1 X_1 Y_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),Y_1),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),Z_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_1),Z_1)),M))).
% 224.43/223.15  all N_33 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_33))=one_one_int).
% 224.43/223.15  all N_33 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_33))=one_one_real).
% 224.43/223.15  all N_33 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_int_complex(number528085621omplex,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_33))=one_one_complex).
% 224.43/223.15  all N_33 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_int_rat(number_number_of_rat,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_33))=one_one_rat).
% 224.43/223.15  all B_138 A_162 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_162))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_138),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_162),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_138))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_162),B_138)),zero_zero_int))).
% 224.43/223.15  all B_138 A_162 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_162))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_138),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_162),zero_zero_nat))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_138))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_162),B_138)),zero_zero_nat))).
% 224.43/223.15  all B_138 A_162 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_162))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_138),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_162),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_138))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_162),B_138)),zero_zero_real))).
% 224.43/223.15  all B_138 A_162 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_162))&hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_138),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_162),zero_z126310315umeral))&hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_138))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_162),B_138)),zero_z126310315umeral))).
% 224.43/223.15  all B_138 A_162 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_162))&hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_138),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_162),zero_z891286103de_int))&hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_138))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_162),B_138)),zero_z891286103de_int))).
% 224.43/223.15  all B_138 A_162 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_162))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_138),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_162),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_138))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_162),B_138)),zero_zero_rat))).
% 224.43/223.15  all B_137 A_161 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_161))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_137))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_161),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_137),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_161),B_137)))).
% 224.43/223.15  all B_137 A_161 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_161))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_137))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_161),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_137),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_161),B_137)))).
% 224.43/223.15  all B_137 A_161 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_161))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_137))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_161),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_137),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_161),B_137)))).
% 224.43/223.15  all C_79 D_15 A_160 B_136 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_160),B_136))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_79),D_15))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_136))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_79))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_160),C_79)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_136),D_15))))))).
% 224.43/223.15  all C_79 D_15 A_160 B_136 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_160),B_136))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_79),D_15))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_136))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_79))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_160),C_79)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_136),D_15))))))).
% 224.43/223.15  all C_79 D_15 A_160 B_136 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_160),B_136))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_79),D_15))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_136))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_79))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_160),C_79)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_136),D_15))))))).
% 224.43/223.15  all C_79 D_15 A_160 B_136 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_160),B_136))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_79),D_15))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_136))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_79))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_160),C_79)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_136),D_15))))))).
% 224.43/223.15  all C_79 D_15 A_160 B_136 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_160),B_136))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_79),D_15))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_136))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_79))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_160),C_79)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_136),D_15))))))).
% 224.43/223.15  all C_79 D_15 A_160 B_136 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_160),B_136))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_79),D_15))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_136))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_79))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_160),C_79)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_136),D_15))))))).
% 224.43/223.15  all C_78 D_14 A_159 B_135 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_159),B_135))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_78),D_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_159))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_78))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_159),C_78)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_135),D_14))))))).
% 224.43/223.15  all C_78 D_14 A_159 B_135 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_159),B_135))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_78),D_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_159))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_78))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_159),C_78)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_135),D_14))))))).
% 224.43/223.15  all C_78 D_14 A_159 B_135 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_159),B_135))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_78),D_14))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_159))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_78))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_159),C_78)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_135),D_14))))))).
% 224.43/223.15  all C_78 D_14 A_159 B_135 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_159),B_135))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_78),D_14))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_159))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_78))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_159),C_78)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_135),D_14))))))).
% 224.43/223.15  all C_78 D_14 A_159 B_135 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_159),B_135))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_78),D_14))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_159))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_78))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_159),C_78)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_135),D_14))))))).
% 224.43/223.15  all C_78 D_14 A_159 B_135 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_159),B_135))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_78),D_14))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_159))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_78))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_159),C_78)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_135),D_14))))))).
% 224.43/223.15  all C_77 B_134 A_158 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_134),A_158))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_77),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_77),A_158)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_77),B_134))))).
% 224.43/223.15  all C_77 B_134 A_158 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_134),A_158))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_77),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_77),A_158)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_77),B_134))))).
% 224.43/223.15  all C_77 B_134 A_158 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_134),A_158))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_77),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_77),A_158)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_77),B_134))))).
% 224.43/223.15  all C_76 B_133 A_157 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_133),A_157))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_76),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_157),C_76)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_133),C_76))))).
% 224.43/223.15  all C_76 B_133 A_157 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_133),A_157))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_76),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_157),C_76)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_133),C_76))))).
% 224.43/223.15  all C_76 B_133 A_157 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_133),A_157))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_76),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_157),C_76)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_133),C_76))))).
% 224.43/223.15  all C_75 A_156 B_132 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_156),B_132))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_75))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_75),A_156)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_75),B_132))))).
% 224.43/223.15  all C_75 A_156 B_132 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_156),B_132))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_75))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_75),A_156)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_75),B_132))))).
% 224.43/223.15  all C_75 A_156 B_132 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_156),B_132))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_75))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_75),A_156)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_75),B_132))))).
% 224.43/223.15  all C_75 A_156 B_132 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_156),B_132))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_75))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_75),A_156)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_75),B_132))))).
% 224.43/223.15  all C_75 A_156 B_132 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_156),B_132))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_75))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_75),A_156)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_75),B_132))))).
% 224.43/223.15  all C_75 A_156 B_132 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_156),B_132))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_75))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_75),A_156)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_75),B_132))))).
% 224.43/223.15  all C_74 A_155 B_131 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_155),B_131))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_74))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_74),A_155)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_74),B_131))))).
% 224.43/223.15  all C_74 A_155 B_131 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_155),B_131))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_74))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_74),A_155)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_74),B_131))))).
% 224.43/223.15  all C_74 A_155 B_131 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_155),B_131))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_74))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_74),A_155)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_74),B_131))))).
% 224.43/223.15  all C_74 A_155 B_131 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_155),B_131))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_74))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_74),A_155)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_74),B_131))))).
% 224.43/223.15  all C_74 A_155 B_131 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_155),B_131))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_74))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_74),A_155)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_74),B_131))))).
% 224.43/223.15  all C_74 A_155 B_131 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_155),B_131))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_74))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_74),A_155)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_74),B_131))))).
% 224.43/223.15  all C_73 A_154 B_130 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_154),B_130))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_73))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_154),C_73)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_130),C_73))))).
% 224.43/223.15  all C_73 A_154 B_130 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_154),B_130))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_73))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_154),C_73)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_130),C_73))))).
% 224.43/223.15  all C_73 A_154 B_130 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_154),B_130))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_73))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_154),C_73)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_130),C_73))))).
% 224.43/223.15  all C_73 A_154 B_130 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_154),B_130))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_73))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_154),C_73)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_130),C_73))))).
% 224.43/223.15  all C_73 A_154 B_130 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_154),B_130))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_73))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_154),C_73)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_130),C_73))))).
% 224.43/223.15  all C_73 A_154 B_130 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_154),B_130))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_73))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_154),C_73)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_130),C_73))))).
% 224.43/223.15  all B_129 A_153 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_153),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_129),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_153),B_129))))).
% 224.43/223.15  all B_129 A_153 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_153),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_129),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_153),B_129))))).
% 224.43/223.15  all B_129 A_153 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_153),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_129),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_153),B_129))))).
% 224.43/223.15  all B_128 A_152 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_152),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_128))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_152),B_128)),zero_zero_int)))).
% 224.43/223.15  all B_128 A_152 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_152),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_128))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_152),B_128)),zero_zero_nat)))).
% 224.43/223.15  all B_128 A_152 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_152),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_128))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_152),B_128)),zero_zero_real)))).
% 224.43/223.15  all B_128 A_152 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_152),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_128))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_152),B_128)),zero_z126310315umeral)))).
% 224.43/223.15  all B_128 A_152 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_152),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_128))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_152),B_128)),zero_z891286103de_int)))).
% 224.43/223.15  all B_128 A_152 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_152),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_128))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_152),B_128)),zero_zero_rat)))).
% 224.43/223.15  all B_127 A_151 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_151))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_127),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_127),A_151)),zero_zero_int)))).
% 224.43/223.15  all B_127 A_151 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_151))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_127),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_127),A_151)),zero_zero_nat)))).
% 224.43/223.15  all B_127 A_151 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_151))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_127),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_127),A_151)),zero_zero_real)))).
% 224.43/223.15  all B_127 A_151 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_151))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_127),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_127),A_151)),zero_z126310315umeral)))).
% 224.43/223.15  all B_127 A_151 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_151))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_127),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_127),A_151)),zero_z891286103de_int)))).
% 224.43/223.15  all B_127 A_151 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_151))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_127),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_127),A_151)),zero_zero_rat)))).
% 224.43/223.15  all B_126 A_150 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_150))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_126),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_150),B_126)),zero_zero_int)))).
% 224.43/223.15  all B_126 A_150 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_150))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_126),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_150),B_126)),zero_zero_nat)))).
% 224.43/223.15  all B_126 A_150 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_150))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_126),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_150),B_126)),zero_zero_real)))).
% 224.43/223.15  all B_126 A_150 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_150))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_126),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_150),B_126)),zero_z126310315umeral)))).
% 224.43/223.15  all B_126 A_150 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_150))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_126),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_150),B_126)),zero_z891286103de_int)))).
% 224.43/223.15  all B_126 A_150 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_150))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_126),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_150),B_126)),zero_zero_rat)))).
% 224.43/223.15  all B_125 A_149 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_149))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_125))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_149),B_125))))).
% 224.43/223.15  all B_125 A_149 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_149))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_125))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_149),B_125))))).
% 224.43/223.15  all B_125 A_149 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_149))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_125))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_149),B_125))))).
% 224.43/223.15  all B_125 A_149 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_149))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_125))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_149),B_125))))).
% 224.43/223.15  all B_125 A_149 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_149))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_125))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_149),B_125))))).
% 224.43/223.15  all B_125 A_149 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_149))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_125))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_149),B_125))))).
% 224.43/223.15  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),zero_zero_int))<->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),zero_zero_int))|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,zero_zero_int),B))).
% 224.43/223.15  all A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),B)),zero_zero_real))<->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),zero_zero_real))|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,zero_zero_real),B))).
% 224.43/223.15  all A B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B))).
% 224.43/223.15  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_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,zero_zero_int),B))|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))).
% 224.43/223.15  all A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_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,zero_zero_real),B))|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))).
% 224.43/223.15  all A B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),B)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B),zero_zero_rat))).
% 224.43/223.15  all A_148 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_148),A_148))).
% 224.43/223.15  all A_148 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_148),A_148))).
% 224.43/223.15  all A_148 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_148),A_148))).
% 224.43/223.15  all C_72 B_124 A_147 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_124),A_147))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_72),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_72),A_147)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_72),B_124))))).
% 224.43/223.15  all C_72 B_124 A_147 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_124),A_147))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_72),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_72),A_147)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_72),B_124))))).
% 224.43/223.15  all C_72 B_124 A_147 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_124),A_147))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_72),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_72),A_147)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_72),B_124))))).
% 224.43/223.15  all C_71 B_123 A_146 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_123),A_146))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_71),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_146),C_71)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_123),C_71))))).
% 224.43/223.15  all C_71 B_123 A_146 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_123),A_146))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_71),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_146),C_71)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_123),C_71))))).
% 224.43/223.15  all C_71 B_123 A_146 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_123),A_146))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_71),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_146),C_71)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_123),C_71))))).
% 224.43/223.15  all C_70 A_145 B_122 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_145),B_122))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_70))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_70),A_145)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_70),B_122))))).
% 224.43/223.15  all C_70 A_145 B_122 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_145),B_122))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_70))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_70),A_145)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_70),B_122))))).
% 224.43/223.15  all C_70 A_145 B_122 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_145),B_122))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_70))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_70),A_145)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_70),B_122))))).
% 224.43/223.15  all C_70 A_145 B_122 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_145),B_122))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_70))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_70),A_145)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_70),B_122))))).
% 224.43/223.15  all C_70 A_145 B_122 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_145),B_122))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_70))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_70),A_145)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_70),B_122))))).
% 224.43/223.15  all C_70 A_145 B_122 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_145),B_122))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_70))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_70),A_145)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_70),B_122))))).
% 224.43/223.15  all C_69 A_144 B_121 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_144),B_121))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_69))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_69),A_144)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_69),B_121))))).
% 224.43/223.15  all C_69 A_144 B_121 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_144),B_121))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_69))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_69),A_144)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_69),B_121))))).
% 224.43/223.15  all C_69 A_144 B_121 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_144),B_121))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_69))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_69),A_144)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_69),B_121))))).
% 224.43/223.15  all C_69 A_144 B_121 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_144),B_121))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_69))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_69),A_144)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_69),B_121))))).
% 224.43/223.15  all C_69 A_144 B_121 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_144),B_121))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_69))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_69),A_144)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_69),B_121))))).
% 224.43/223.15  all C_69 A_144 B_121 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_144),B_121))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_69))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_69),A_144)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_69),B_121))))).
% 224.43/223.15  all C_68 A_143 B_120 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_143),B_120))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_68))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_143),C_68)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_120),C_68))))).
% 224.43/223.15  all C_68 A_143 B_120 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_143),B_120))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_68))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_143),C_68)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_120),C_68))))).
% 224.43/223.15  all C_68 A_143 B_120 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_143),B_120))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_68))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_143),C_68)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_120),C_68))))).
% 224.43/223.15  all C_68 A_143 B_120 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_143),B_120))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_68))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_143),C_68)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_120),C_68))))).
% 224.43/223.15  all C_68 A_143 B_120 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_143),B_120))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_68))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_143),C_68)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_120),C_68))))).
% 224.43/223.15  all C_68 A_143 B_120 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_143),B_120))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_68))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_143),C_68)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_120),C_68))))).
% 224.43/223.15  all B_119 A_142 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_142),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_119),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_142),B_119))))).
% 224.43/223.15  all B_119 A_142 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_142),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_119),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_142),B_119))))).
% 224.43/223.15  all B_119 A_142 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_142),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_119),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_142),B_119))))).
% 224.43/223.15  all B_118 A_141 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_141),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_118))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_141),B_118)),zero_zero_int)))).
% 224.43/223.15  all B_118 A_141 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_141),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_118))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_141),B_118)),zero_zero_nat)))).
% 224.43/223.15  all B_118 A_141 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_141),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_118))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_141),B_118)),zero_zero_real)))).
% 224.43/223.15  all B_118 A_141 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_141),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_118))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_141),B_118)),zero_z126310315umeral)))).
% 224.43/223.15  all B_118 A_141 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_141),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_118))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_141),B_118)),zero_z891286103de_int)))).
% 224.43/223.15  all B_118 A_141 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_141),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_118))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_141),B_118)),zero_zero_rat)))).
% 224.43/223.15  all A B C (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)))).
% 224.43/223.15  all A B C (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A)))).
% 224.43/223.15  all A B C (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),A)))).
% 224.43/223.15  all B_117 A_140 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_117),A_140)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_140))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_117)))).
% 224.43/223.15  all B_117 A_140 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_117),A_140)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_140))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_117)))).
% 224.43/223.15  all B_117 A_140 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_117),A_140)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_140))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_117)))).
% 224.43/223.15  all B_117 A_140 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_117),A_140)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_140))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_117)))).
% 224.43/223.15  all B_117 A_140 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_117),A_140)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_140))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_117)))).
% 224.43/223.15  all B_117 A_140 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_117),A_140)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_140))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_117)))).
% 224.43/223.15  all A_139 B_116 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_139),B_116)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_139))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_116)))).
% 224.43/223.15  all A_139 B_116 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_139),B_116)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_139))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_116)))).
% 224.43/223.15  all A_139 B_116 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_139),B_116)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_139))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_116)))).
% 224.43/223.15  all A_139 B_116 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_139),B_116)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_139))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_116)))).
% 224.43/223.15  all A_139 B_116 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_139),B_116)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_139))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_116)))).
% 224.43/223.15  all A_139 B_116 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_139),B_116)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_139))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_116)))).
% 224.43/223.15  all B_115 A_138 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_138))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_115),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_115),A_138)),zero_zero_int)))).
% 224.43/223.15  all B_115 A_138 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_138))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_115),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_115),A_138)),zero_zero_nat)))).
% 224.43/223.15  all B_115 A_138 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_138))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_115),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_115),A_138)),zero_zero_real)))).
% 224.43/223.15  all B_115 A_138 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_138))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_115),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_115),A_138)),zero_z126310315umeral)))).
% 224.43/223.15  all B_115 A_138 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_138))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_115),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_115),A_138)),zero_z891286103de_int)))).
% 224.43/223.15  all B_115 A_138 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_138))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_115),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_115),A_138)),zero_zero_rat)))).
% 224.43/223.15  all B_114 A_137 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_137))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_114),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_137),B_114)),zero_zero_int)))).
% 224.43/223.15  all B_114 A_137 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_137))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_114),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_137),B_114)),zero_zero_nat)))).
% 224.43/223.15  all B_114 A_137 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_137))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_114),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_137),B_114)),zero_zero_real)))).
% 224.43/223.15  all B_114 A_137 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_137))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_114),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_137),B_114)),zero_z126310315umeral)))).
% 224.43/223.15  all B_114 A_137 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_137))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_114),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_137),B_114)),zero_z891286103de_int)))).
% 224.43/223.16  all B_114 A_137 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_137))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_114),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_137),B_114)),zero_zero_rat)))).
% 224.43/223.16  all B_113 A_136 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_136))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_113))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_136),B_113))))).
% 224.43/223.16  all B_113 A_136 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_136))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_113))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_136),B_113))))).
% 224.43/223.16  all B_113 A_136 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_136))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_113))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_136),B_113))))).
% 224.43/223.16  all B_113 A_136 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_136))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_113))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_136),B_113))))).
% 224.43/223.16  all B_113 A_136 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_136))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_113))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_136),B_113))))).
% 224.43/223.16  all B_113 A_136 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_136))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_113))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_136),B_113))))).
% 224.43/223.16  all A B C (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)))).
% 224.43/223.16  all A B C (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)))).
% 224.43/223.16  all A B C (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B)))).
% 224.43/223.16  all C A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),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,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))).
% 224.43/223.16  all C A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),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,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A))).
% 224.43/223.16  all C A B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),A))).
% 224.43/223.16  all A C B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A))).
% 224.43/223.16  all A C B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),A))).
% 224.43/223.16  all A C B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B),A))).
% 224.43/223.16  all A_135 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_135),A_135)),zero_zero_int))).
% 224.43/223.16  all A_135 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_135),A_135)),zero_zero_real))).
% 224.43/223.16  all A_135 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_135),A_135)),zero_zero_rat))).
% 224.43/223.16  all B_112 C_67 A_134 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_134))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_112),C_67))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_112),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_134),C_67))))).
% 224.43/223.16  all B_112 C_67 A_134 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_134))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_112),C_67))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_112),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_134),C_67))))).
% 224.43/223.16  all B_112 C_67 A_134 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_134))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_112),C_67))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_112),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_134),C_67))))).
% 224.43/223.16  all B_112 C_67 A_134 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_134))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_112),C_67))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_112),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_134),C_67))))).
% 224.43/223.16  all B_112 C_67 A_134 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_134))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_112),C_67))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_112),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_134),C_67))))).
% 224.43/223.16  all B_112 C_67 A_134 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_134))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_112),C_67))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_112),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_134),C_67))))).
% 224.43/223.16  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 224.43/223.16  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 224.43/223.16  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),one_one_real)).
% 224.43/223.16  hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),one_on1645066479umeral)).
% 224.43/223.16  hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),one_on1684967323de_int)).
% 224.43/223.16  hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),one_one_rat)).
% 224.43/223.16  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 224.43/223.16  -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 224.43/223.16  -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),zero_zero_real)).
% 224.43/223.16  -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),zero_z126310315umeral)).
% 224.43/223.16  -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),zero_z891286103de_int)).
% 224.43/223.16  -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),zero_zero_rat)).
% 224.43/223.16  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 224.43/223.16  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 224.43/223.16  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 224.43/223.16  hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),one_on1645066479umeral)).
% 224.43/223.16  hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),one_on1684967323de_int)).
% 224.43/223.16  hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),one_one_rat)).
% 224.43/223.16  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 224.43/223.16  -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 224.43/223.16  -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 224.43/223.16  -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),zero_z126310315umeral)).
% 224.43/223.16  -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),zero_z891286103de_int)).
% 224.43/223.16  -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),zero_zero_rat)).
% 224.43/223.16  all N_32 M_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),N_32))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_18),N_32))))).
% 224.43/223.16  all N_32 M_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),M_18))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_32))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_18),N_32))))).
% 224.43/223.16  all N_32 M_18 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),M_18))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),N_32))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,M_18),N_32))))).
% 224.43/223.16  all N_32 M_18 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),M_18))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),N_32))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,M_18),N_32))))).
% 224.43/223.16  all N_32 M_18 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),M_18))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),N_32))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,M_18),N_32))))).
% 224.43/223.16  all N_32 M_18 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),M_18))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),N_32))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,M_18),N_32))))).
% 224.43/223.16  all A_133 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_133),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_133),one_one_int))).
% 224.43/223.16  all A_133 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_133),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_133),one_one_nat))).
% 224.43/223.16  all A_133 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_133),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_133),one_one_real))).
% 224.43/223.16  all A_133 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_133),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_133),one_on1645066479umeral))).
% 224.43/223.16  all A_133 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_133),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_133),one_on1684967323de_int))).
% 224.43/223.16  all A_133 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_133),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_133),one_one_rat))).
% 224.43/223.16  all C A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)))<->C=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A),B))).
% 224.43/223.16  all C A B (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),A)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B)))<->C=zero_zero_complex|hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A),B))).
% 224.43/223.16  all C A B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))<->C=zero_zero_rat|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A),B))).
% 224.43/223.16  all C A B (is_int(C)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)))<->C=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)))).
% 224.43/223.16  all A C B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)))<->C=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A),B))).
% 224.43/223.16  all A C B (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),C)))<->C=zero_zero_complex|hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A),B))).
% 224.43/223.16  all A C B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),C)))<->C=zero_zero_rat|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A),B))).
% 224.43/223.16  all A C B (is_int(C)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)))<->C=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)))).
% 224.43/223.16  all A W_1 (is_int(A)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),hAPP_int_nat(number_number_of_nat,W_1))=zero_zero_int<->A=zero_zero_int&hAPP_int_nat(number_number_of_nat,W_1)!=zero_zero_nat)).
% 224.43/223.16  all A W_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_int_nat(number_number_of_nat,W_1))=zero_zero_nat<->A=zero_zero_nat&hAPP_int_nat(number_number_of_nat,W_1)!=zero_zero_nat).
% 224.43/223.16  all A W_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A),hAPP_int_nat(number_number_of_nat,W_1))=zero_zero_real<->A=zero_zero_real&hAPP_int_nat(number_number_of_nat,W_1)!=zero_zero_nat).
% 224.43/223.16  all A W_1 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A),hAPP_int_nat(number_number_of_nat,W_1))=zero_z126310315umeral<->A=zero_z126310315umeral&hAPP_int_nat(number_number_of_nat,W_1)!=zero_zero_nat).
% 224.43/223.16  all A W_1 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A),hAPP_int_nat(number_number_of_nat,W_1))=zero_zero_complex<->A=zero_zero_complex&hAPP_int_nat(number_number_of_nat,W_1)!=zero_zero_nat).
% 224.43/223.16  all A W_1 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A),hAPP_int_nat(number_number_of_nat,W_1))=zero_z891286103de_int<->A=zero_z891286103de_int&hAPP_int_nat(number_number_of_nat,W_1)!=zero_zero_nat).
% 224.43/223.16  all A W_1 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A),hAPP_int_nat(number_number_of_nat,W_1))=zero_zero_rat<->A=zero_zero_rat&hAPP_int_nat(number_number_of_nat,W_1)!=zero_zero_nat).
% 224.43/223.16  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 224.43/223.16  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1))))).
% 224.43/223.16  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_1))))).
% 224.43/223.16  all B_2 M A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),A_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M)))))).
% 224.43/223.16  all M X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),M))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),M)))).
% 224.43/223.16  all M Y_1 X_1 (is_int(Y_1)&is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),Y_1),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),M))->X_1=Y_1))))))).
% 224.43/223.16  all N_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),M))).
% 224.43/223.16  all N_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N_1)))).
% 224.43/223.16  all A B Ma (is_int(B)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))<-> (exists K (is_int(K)&B=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),K)))))).
% 224.43/223.16  all A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),A))).
% 224.43/223.16  all X_2 P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_2),zero_zero_int),P_5))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_5),X_2))).
% 224.43/223.16  all M N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),M))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1)))).
% 224.43/223.16  all A B C (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)))).
% 224.43/223.16  all A B C (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B)))).
% 224.43/223.16  all A B C (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A),B)))).
% 224.43/223.16  all A B C (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)))).
% 224.43/223.16  all A B C (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B),A)))).
% 224.43/223.16  all A B C (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B),A)))).
% 224.43/223.16  all C_66 D_13 A_132 B_111 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_132),B_111))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_66),D_13))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_111))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_66))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_132),C_66)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_111),D_13))))))).
% 224.43/223.16  all C_66 D_13 A_132 B_111 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_132),B_111))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_66),D_13))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_111))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_66))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_132),C_66)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_111),D_13))))))).
% 224.43/223.16  all C_66 D_13 A_132 B_111 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_132),B_111))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_66),D_13))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_111))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_66))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_132),C_66)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_111),D_13))))))).
% 224.43/223.16  all C_66 D_13 A_132 B_111 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_132),B_111))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_66),D_13))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_111))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_66))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_132),C_66)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_111),D_13))))))).
% 224.43/223.16  all C_66 D_13 A_132 B_111 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_132),B_111))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_66),D_13))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_111))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_66))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_132),C_66)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_111),D_13))))))).
% 224.43/223.16  all C_66 D_13 A_132 B_111 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_132),B_111))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_66),D_13))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_111))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_66))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_132),C_66)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_111),D_13))))))).
% 224.43/223.16  all C_65 D_12 A_131 B_110 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_131),B_110))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_65),D_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_131))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_65))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_131),C_65)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_110),D_12))))))).
% 224.43/223.16  all C_65 D_12 A_131 B_110 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_131),B_110))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_65),D_12))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_131))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_65))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_131),C_65)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_110),D_12))))))).
% 224.43/223.16  all C_65 D_12 A_131 B_110 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_131),B_110))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_65),D_12))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_131))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_65))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_131),C_65)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_110),D_12))))))).
% 224.43/223.16  all C_65 D_12 A_131 B_110 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_131),B_110))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_65),D_12))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_131))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_65))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_131),C_65)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_110),D_12))))))).
% 224.43/223.16  all C_65 D_12 A_131 B_110 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_131),B_110))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_65),D_12))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_131))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_65))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_131),C_65)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_110),D_12))))))).
% 224.43/223.16  all C_65 D_12 A_131 B_110 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_131),B_110))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_65),D_12))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_131))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_65))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_131),C_65)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_110),D_12))))))).
% 224.43/223.16  all C_64 D_11 A_130 B_109 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_130),B_109))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_64),D_11))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_130))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_64))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_130),C_64)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_109),D_11))))))).
% 224.43/223.16  all C_64 D_11 A_130 B_109 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_130),B_109))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_64),D_11))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_130))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_64))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_130),C_64)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_109),D_11))))))).
% 224.43/223.16  all C_64 D_11 A_130 B_109 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_130),B_109))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_64),D_11))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_130))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_64))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_130),C_64)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_109),D_11))))))).
% 224.43/223.16  all C_64 D_11 A_130 B_109 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_130),B_109))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_64),D_11))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_130))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_64))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_130),C_64)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_109),D_11))))))).
% 224.43/223.16  all C_64 D_11 A_130 B_109 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_130),B_109))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_64),D_11))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_130))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_64))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_130),C_64)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_109),D_11))))))).
% 224.43/223.16  all C_64 D_11 A_130 B_109 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_130),B_109))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_64),D_11))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_130))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_64))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_130),C_64)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_109),D_11))))))).
% 224.43/223.16  all C_63 D_10 A_129 B_108 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_129),B_108))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_63),D_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_129))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_63))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_129),C_63)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_108),D_10))))))).
% 224.43/223.16  all C_63 D_10 A_129 B_108 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_129),B_108))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_63),D_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_129))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_63))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_129),C_63)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_108),D_10))))))).
% 224.43/223.16  all C_63 D_10 A_129 B_108 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_129),B_108))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_63),D_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_129))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_63))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_129),C_63)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_108),D_10))))))).
% 224.43/223.16  all C_63 D_10 A_129 B_108 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_129),B_108))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_63),D_10))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_129))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_63))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_129),C_63)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_108),D_10))))))).
% 224.43/223.16  all C_63 D_10 A_129 B_108 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_129),B_108))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_63),D_10))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_129))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_63))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_129),C_63)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_108),D_10))))))).
% 224.43/223.16  all C_63 D_10 A_129 B_108 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_129),B_108))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_63),D_10))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_129))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_63))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_129),C_63)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_108),D_10))))))).
% 224.43/223.16  all A_128 C_62 B_107 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_128),C_62)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_107),C_62)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_62))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_128),B_107)))).
% 224.43/223.16  all A_128 C_62 B_107 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_128),C_62)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_107),C_62)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_62))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_128),B_107)))).
% 224.43/223.16  all A_128 C_62 B_107 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_128),C_62)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_107),C_62)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_62))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_128),B_107)))).
% 224.43/223.16  all A_128 C_62 B_107 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_128),C_62)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_107),C_62)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_62))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_128),B_107)))).
% 224.43/223.16  all A_128 C_62 B_107 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_128),C_62)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_107),C_62)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_62))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_128),B_107)))).
% 224.43/223.16  all A_128 C_62 B_107 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_128),C_62)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_107),C_62)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_62))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_128),B_107)))).
% 224.43/223.16  all A_127 C_61 B_106 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_127),C_61)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_106),C_61)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_61))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_127),B_106)))).
% 224.43/223.16  all A_127 C_61 B_106 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_127),C_61)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_106),C_61)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_61))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_127),B_106)))).
% 224.43/223.16  all A_127 C_61 B_106 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_127),C_61)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_106),C_61)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_61))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_127),B_106)))).
% 224.43/223.16  all A_127 C_61 B_106 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_127),C_61)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_106),C_61)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_61))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_127),B_106)))).
% 224.43/223.16  all A_127 C_61 B_106 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_127),C_61)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_106),C_61)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_61))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_127),B_106)))).
% 224.43/223.16  all A_127 C_61 B_106 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_127),C_61)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_106),C_61)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_61))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_127),B_106)))).
% 224.43/223.16  all C_60 A_126 B_105 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_60),A_126)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_60),B_105)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_60))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_126),B_105)))).
% 224.43/223.16  all C_60 A_126 B_105 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_60),A_126)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_60),B_105)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_60))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_126),B_105)))).
% 224.43/223.16  all C_60 A_126 B_105 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_60),A_126)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_60),B_105)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_60))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_126),B_105)))).
% 224.43/223.16  all C_60 A_126 B_105 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_60),A_126)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_60),B_105)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_60))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_126),B_105)))).
% 224.43/223.16  all C_60 A_126 B_105 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_60),A_126)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_60),B_105)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_60))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_126),B_105)))).
% 224.43/223.16  all C_60 A_126 B_105 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_60),A_126)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_60),B_105)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_60))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_126),B_105)))).
% 224.43/223.16  all C_59 A_125 B_104 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_59),A_125)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_59),B_104)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_59))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_125),B_104)))).
% 224.43/223.16  all C_59 A_125 B_104 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_59),A_125)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_59),B_104)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_59))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_125),B_104)))).
% 224.43/223.16  all C_59 A_125 B_104 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_59),A_125)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_59),B_104)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_59))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_125),B_104)))).
% 224.43/223.16  all C_59 A_125 B_104 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_59),A_125)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_59),B_104)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_59))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_125),B_104)))).
% 224.43/223.16  all C_59 A_125 B_104 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_59),A_125)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_59),B_104)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_59))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_125),B_104)))).
% 224.43/223.16  all C_59 A_125 B_104 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_59),A_125)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_59),B_104)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_59))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_125),B_104)))).
% 224.43/223.16  all A_124 C_58 B_103 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_124),C_58)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_103),C_58)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_58))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_124),B_103)))).
% 224.43/223.16  all A_124 C_58 B_103 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_124),C_58)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_103),C_58)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_58))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_124),B_103)))).
% 224.43/223.16  all A_124 C_58 B_103 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_124),C_58)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_103),C_58)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_58))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_124),B_103)))).
% 224.43/223.16  all A_124 C_58 B_103 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_124),C_58)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_103),C_58)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_58))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_124),B_103)))).
% 224.43/223.16  all A_124 C_58 B_103 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_124),C_58)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_103),C_58)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_58))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_124),B_103)))).
% 224.43/223.16  all A_124 C_58 B_103 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_124),C_58)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_103),C_58)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_58))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_124),B_103)))).
% 224.43/223.16  all C_57 A_123 B_102 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_57),A_123)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_57),B_102)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_57))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_123),B_102)))).
% 224.43/223.16  all C_57 A_123 B_102 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_57),A_123)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_57),B_102)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_57))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_123),B_102)))).
% 224.43/223.16  all C_57 A_123 B_102 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_57),A_123)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_57),B_102)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_57))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_123),B_102)))).
% 224.43/223.16  all C_57 A_123 B_102 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_57),A_123)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_57),B_102)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_57))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_123),B_102)))).
% 224.43/223.16  all C_57 A_123 B_102 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_57),A_123)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_57),B_102)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_57))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_123),B_102)))).
% 224.43/223.16  all C_57 A_123 B_102 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_57),A_123)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_57),B_102)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_57))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_123),B_102)))).
% 224.43/223.16  all Y_22 X_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_28))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_22))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_22),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_22),X_28)),X_28))))).
% 224.43/223.16  all Y_22 X_28 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_28))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_22))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_22),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_22),X_28)),X_28))))).
% 224.43/223.16  all Y_22 X_28 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_28))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_22))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_22),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_22),X_28)),X_28))))).
% 224.43/223.16  all Y_21 X_27 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_27))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_21))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_21),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_27),Y_21)),X_27))))).
% 224.43/223.16  all Y_21 X_27 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_27))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_21))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_21),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_27),Y_21)),X_27))))).
% 224.43/223.16  all Y_21 X_27 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_27))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_21))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_21),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_27),Y_21)),X_27))))).
% 224.43/223.16  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),one_one_int))).
% 224.43/223.16  hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat))).
% 224.43/223.16  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),one_one_real))).
% 224.43/223.16  hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),one_on1645066479umeral))).
% 224.43/223.16  hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,one_on1684967323de_int),one_on1684967323de_int))).
% 224.43/223.16  hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),one_one_rat))).
% 224.43/223.16  all W_5 ((hAPP_int_nat(number_number_of_nat,W_5)=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,W_5))=one_one_int)& (hAPP_int_nat(number_number_of_nat,W_5)!=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_int_nat(number_number_of_nat,W_5))=zero_zero_int)).
% 224.43/223.16  all W_5 ((hAPP_int_nat(number_number_of_nat,W_5)=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,W_5))=one_one_nat)& (hAPP_int_nat(number_number_of_nat,W_5)!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,W_5))=zero_zero_nat)).
% 224.43/223.16  all W_5 ((hAPP_int_nat(number_number_of_nat,W_5)=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),hAPP_int_nat(number_number_of_nat,W_5))=one_one_real)& (hAPP_int_nat(number_number_of_nat,W_5)!=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),hAPP_int_nat(number_number_of_nat,W_5))=zero_zero_real)).
% 224.43/223.16  all W_5 ((hAPP_int_nat(number_number_of_nat,W_5)=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),hAPP_int_nat(number_number_of_nat,W_5))=one_on1645066479umeral)& (hAPP_int_nat(number_number_of_nat,W_5)!=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),hAPP_int_nat(number_number_of_nat,W_5))=zero_z126310315umeral)).
% 224.43/223.16  all W_5 ((hAPP_int_nat(number_number_of_nat,W_5)=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),hAPP_int_nat(number_number_of_nat,W_5))=one_one_complex)& (hAPP_int_nat(number_number_of_nat,W_5)!=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),hAPP_int_nat(number_number_of_nat,W_5))=zero_zero_complex)).
% 224.43/223.16  all W_5 ((hAPP_int_nat(number_number_of_nat,W_5)=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),hAPP_int_nat(number_number_of_nat,W_5))=one_on1684967323de_int)& (hAPP_int_nat(number_number_of_nat,W_5)!=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),hAPP_int_nat(number_number_of_nat,W_5))=zero_z891286103de_int)).
% 224.43/223.16  all W_5 ((hAPP_int_nat(number_number_of_nat,W_5)=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,zero_zero_rat),hAPP_int_nat(number_number_of_nat,W_5))=one_one_rat)& (hAPP_int_nat(number_number_of_nat,W_5)!=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,zero_zero_rat),hAPP_int_nat(number_number_of_nat,W_5))=zero_zero_rat)).
% 224.43/223.16  all B_2 M A_3 (is_int(B_2)&is_int(A_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))->A_3=B_2)))))).
% 224.43/223.16  all M A_3 (is_int(A_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),M))->A_3=zero_zero_int)))).
% 224.43/223.16  all M X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),M))->X_1=zero_zero_int)))).
% 224.43/223.16  all Y_1 X_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Y_1),zero_zero_int),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1)),zero_zero_int),P_3))))).
% 224.43/223.16  all V_9 U_2 Y_20 X_26 A_122 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_26),A_122))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_20),A_122))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),V_9))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U_2),V_9)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,U_2),X_26)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_9),Y_20))),A_122))))))).
% 224.43/223.16  all V_9 U_2 Y_20 X_26 A_122 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_26),A_122))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_20),A_122))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),U_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),V_9))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,U_2),V_9)=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_2),X_26)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,V_9),Y_20))),A_122))))))).
% 224.43/223.16  all V_9 U_2 Y_20 X_26 A_122 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_26),A_122))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_20),A_122))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),U_2))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),V_9))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,U_2),V_9)=one_one_rat->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,U_2),X_26)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,V_9),Y_20))),A_122))))))).
% 224.43/223.16  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 224.43/223.16  all B_2 Q_2 R_3 B_5 Q_8 R_5 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),Q_8)),R_5)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),Q_8)),R_5)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_5),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_8),Q_2)))))))).
% 224.43/223.16  all B_2 Q_8 R_5 Q_2 R_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_8)),R_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_3)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),Q_8)))))).
% 224.43/223.16  all B_2 Q_2 R_3 B_5 Q_8 R_5 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),Q_8)),R_5)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),Q_8)),R_5)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_5),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_2),Q_8)))))))).
% 224.43/223.16  all B_2 Q_8 R_5 Q_2 R_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_8)),R_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_3)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_8),Q_2)))))).
% 224.43/223.16  all B_5 Q_8 R_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),Q_8)),R_5)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_8),zero_zero_int))))).
% 224.43/223.16  all B_5 Q_8 R_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),Q_8)),R_5)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_5),B_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Q_8))))).
% 224.43/223.16  all B_2 A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),P_3))& -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_2),zero_zero_int),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)),zero_zero_int),P_3))))).
% 224.43/223.16  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),hAPP_int_int(number_number_of_int,min))).
% 224.43/223.16  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(number_number_of_int,min)))).
% 224.43/223.16  all J_2 K_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),J_2)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),K_2)),M))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),J_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),K_2))).
% 224.43/223.16  all M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(one_one_int),hAPP_int_int(number_number_of_int,min)),M))).
% 224.43/223.16  hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(number_number_of_int,min))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,s),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int).
% 224.43/223.16  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M))->M=zero_zero_nat|M=N_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),M))).
% 224.43/223.16  -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)),hAPP_int_int(number_number_of_int,min)))->hAPP_int_int(legendre(hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))!=one_one_int.
% 224.43/223.16  all M (hBOOL(hAPP_int_bool(zprime,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),M)),one_one_int)))->hAPP_int_int(legendre(hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),M)),one_one_int))=one_one_int).
% 224.43/223.16  all X_2 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real).
% 224.43/223.16  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1))).
% 224.43/223.16  zero_zero_real!=one_one_real.
% 224.43/223.16  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2))&X_2!=Y_2).
% 224.43/223.16  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_real,X_2),Y_2))|X_2=Y_2).
% 224.43/223.16  all N_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_1),N_1)))).
% 224.43/223.16  all X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))<->X_2=Y_2).
% 224.43/223.16  all V_8 W_4 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_8),W_4))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_8)),hAPP_int_int(number_number_of_int,W_4))).
% 224.43/223.17  all V_8 W_4 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_8),W_4))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V_8)),hAPP_int_real(number267125858f_real,W_4))).
% 224.43/223.17  all V_8 W_4 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_8),W_4))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,V_8)),hAPP_int_complex(number528085621omplex,W_4))).
% 224.43/223.17  all V_8 W_4 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_8),W_4))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V_8)),hAPP_int_rat(number_number_of_rat,W_4))).
% 224.43/223.17  all Z_1 W (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),W))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z_1))->Z_1=W)).
% 224.43/223.17  all K_2 I J_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I),J_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,J_2),K_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,I),K_2)))).
% 224.43/223.17  all Z_1 W (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_1),W))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),Z_1))).
% 224.43/223.17  all W hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),W)).
% 224.43/223.17  all A_121 C_56 B_101 D_9 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_121),C_56)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_101),D_9))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_121),B_101)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_56),D_9))).
% 224.43/223.17  all A_121 C_56 B_101 D_9 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_121),C_56)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_101),D_9))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_121),B_101)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C_56),D_9))).
% 224.43/223.17  all A_121 C_56 B_101 D_9 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_121),C_56)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_101),D_9))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_121),B_101)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C_56),D_9))).
% 224.43/223.17  all A_121 C_56 B_101 D_9 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_121),C_56)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_101),D_9))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_121),B_101)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C_56),D_9))).
% 224.43/223.17  all Z_8 X_25 Y_19 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_25),Y_19))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_25),Z_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_25),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_19),Z_8))))).
% 224.43/223.17  all Z_8 X_25 Y_19 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_25),Y_19))-> (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_25),Z_8))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_25),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_19),Z_8))))).
% 224.43/223.17  all Z_8 X_25 Y_19 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_25),Y_19))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_25),Z_8))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_25),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Y_19),Z_8))))).
% 224.43/223.17  all Z_8 X_25 Y_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_25),Y_19))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_25),Z_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_25),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_19),Z_8))))).
% 224.43/223.17  all K_2 (is_int(K_2)->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),pls)=K_2).
% 224.43/223.17  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(bit0,K_2)),hAPP_int_int(bit0,L_2))=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),L_2))).
% 224.43/223.17  all W Z1 Z2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z1),Z2))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z2))).
% 224.43/223.17  all Z1 Z2 W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z1),Z2)),W)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z1),W)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z2),W))).
% 224.43/223.17  all A_3 B_2 C_1 (is_int(A_3)-> (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),B_2)=C_1->A_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_1),B_2))).
% 224.43/223.17  all C_1 D_3 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C_1),D_3),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),C_1)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_2),D_3)),M)))).
% 224.43/223.17  all K_2 M N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M),N_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M)))).
% 224.43/223.17  all X_24 Y_18 A_120 B_100 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_24),Y_18)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_120),B_100))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_24),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_18),B_100))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_24),A_120)),B_100))).
% 224.43/223.17  all X_24 Y_18 A_120 B_100 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_24),Y_18)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_120),B_100))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_24),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_18),B_100))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_24),A_120)),B_100))).
% 224.43/223.17  all X_24 Y_18 A_120 B_100 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_24),Y_18)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_120),B_100))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_24),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_18),B_100))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_24),A_120)),B_100))).
% 224.43/223.17  all X_24 Y_18 A_120 B_100 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_24),Y_18)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_120),B_100))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_24),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Y_18),B_100))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_24),A_120)),B_100))).
% 224.43/223.17  all X_23 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_23),X_23)),one_one_int)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_23),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_23),one_one_int))).
% 224.43/223.17  all X_23 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_23),X_23)),one_one_real)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_23),one_one_real)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_23),one_one_real))).
% 224.43/223.17  all X_23 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_23),X_23)),one_one_complex)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_23),one_one_complex)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_23),one_one_complex))).
% 224.43/223.17  all X_23 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_23),X_23)),one_one_rat)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_23),one_one_rat)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_23),one_one_rat))).
% 224.43/223.17  all A E_2 C B D (is_int(C)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),E_2)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),E_2)),D)<->C=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),A)),E_2)),D))).
% 224.43/223.17  all A E_2 C B D (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),E_2)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),E_2)),D)<->C=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A)),E_2)),D)).
% 224.43/223.17  all A E_2 C B D (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),E_2)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),E_2)),D)<->C=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B),A)),E_2)),D)).
% 224.43/223.17  all A E_2 C B D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),E_2)),C)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),E_2)),D)<->C=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B),A)),E_2)),D)).
% 224.43/223.17  all A E_2 C B D (is_int(D)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),E_2)),C)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),E_2)),D)<->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),E_2)),C)=D)).
% 224.43/223.17  all A E_2 C B D (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),E_2)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),E_2)),D)<->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)),E_2)),C)=D).
% 224.43/223.17  all A E_2 C B D (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A),E_2)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B),E_2)),D)<->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)),E_2)),C)=D).
% 224.43/223.17  all A E_2 C B D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),E_2)),C)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),E_2)),D)<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)),E_2)),C)=D).
% 224.43/223.17  all V_7 B_99 C_55 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_7)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_99),C_55))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_7)),B_99)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_7)),C_55))).
% 224.43/223.17  all V_7 B_99 C_55 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_7)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_99),C_55))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_7)),B_99)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_7)),C_55))).
% 224.43/223.17  all V_7 B_99 C_55 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_7)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_99),C_55))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_7)),B_99)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_7)),C_55))).
% 224.43/223.17  all V_7 B_99 C_55 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_7)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_99),C_55))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_7)),B_99)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_7)),C_55))).
% 224.43/223.17  all A_119 B_98 V_6 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_119),B_98)),hAPP_int_int(number_number_of_int,V_6))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_119),hAPP_int_int(number_number_of_int,V_6))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_98),hAPP_int_int(number_number_of_int,V_6)))).
% 224.43/223.17  all A_119 B_98 V_6 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_119),B_98)),hAPP_int_real(number267125858f_real,V_6))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_119),hAPP_int_real(number267125858f_real,V_6))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_98),hAPP_int_real(number267125858f_real,V_6)))).
% 224.43/223.17  all A_119 B_98 V_6 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_119),B_98)),hAPP_int_complex(number528085621omplex,V_6))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_119),hAPP_int_complex(number528085621omplex,V_6))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_98),hAPP_int_complex(number528085621omplex,V_6)))).
% 224.43/223.17  all A_119 B_98 V_6 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_119),B_98)),hAPP_int_rat(number_number_of_rat,V_6))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_119),hAPP_int_rat(number_number_of_rat,V_6))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_98),hAPP_int_rat(number_number_of_rat,V_6)))).
% 224.43/223.17  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(bit1,K_2)),hAPP_int_int(bit0,L_2))=hAPP_int_int(bit1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),L_2))).
% 224.43/223.17  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(bit1,K_2)),hAPP_int_int(bit1,L_2))=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),L_2))).
% 224.43/223.17  all L_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,pls),hAPP_int_int(bit0,L_2))=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,pls),L_2))).
% 224.43/223.17  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),L)),zero_zero_int))).
% 224.43/223.17  all A_3 R_3 B_2 M C_1 D_3 N_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),B_2))),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),D_3))),N_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),N_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_3),N_1))))).
% 224.43/223.17  all A B Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),E_2)),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),E_2)),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),A)),E_2)),D)))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),E_2)),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A)),E_2)),D)))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),E_2)),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),E_2)),D)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B),A)),E_2)),D)))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),E_2)),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),E_2)),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),E_2)),C)),D))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),E_2)),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)),E_2)),C)),D))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),E_2)),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),E_2)),D)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)),E_2)),C)),D))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),E_2)),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),E_2)),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),A)),E_2)),D)))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),E_2)),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A)),E_2)),D)))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),E_2)),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),E_2)),D)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B),A)),E_2)),D)))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),E_2)),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),E_2)),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),E_2)),C)),D))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),E_2)),D)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)),E_2)),C)),D))).
% 224.43/223.17  all A E_2 C B D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A),E_2)),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B),E_2)),D)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)),E_2)),C)),D))).
% 224.43/223.17  all V_5 W_3 C_54 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_5)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,W_3)),C_54))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),W_3))),C_54)).
% 224.43/223.17  all V_5 W_3 C_54 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_5)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,W_3)),C_54))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),W_3))),C_54)).
% 224.43/223.17  all V_5 W_3 C_54 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_5)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,W_3)),C_54))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),W_3))),C_54)).
% 224.43/223.17  all V_5 W_3 C_54 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_5)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,W_3)),C_54))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_5),W_3))),C_54)).
% 224.43/223.17  all A_3 X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),A_3))-> (X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),one_one_int)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),one_one_int))))))).
% 224.43/223.17  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_2),one_one_int)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))).
% 224.43/223.17  all L_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,pls),hAPP_int_int(bit1,L_2))=hAPP_int_int(bit1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,min),L_2))).
% 224.43/223.17  all L_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,min),hAPP_int_int(bit0,L_2))=hAPP_int_int(bit1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,min),L_2))).
% 224.43/223.17  all L_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,min),hAPP_int_int(bit1,L_2))=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,min),L_2))).
% 224.43/223.17  all A P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int))),one_one_int),P_5))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)),P_5))).
% 224.43/223.17  all A_3 N_1 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_2),N_1)))-> (N_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2)))).
% 224.43/223.17  all X_1 Y_1 N_1 (N_1!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N_1)),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)))).
% 224.43/223.17  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ma),N)=zero_zero_nat<->N!=zero_zero_nat&Ma=zero_zero_nat).
% 224.43/223.17  all B_2 D_3 A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_3),B_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),B_2)))).
% 224.43/223.17  all Z_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),Z_1)=Z_1).
% 224.43/223.17  all Z_1 W (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_1),W)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,W),Z_1)).
% 224.43/223.17  all Z1 Z2 Z3 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z1),Z2)),Z3)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z2),Z3))).
% 224.43/223.17  all A B C (C!=zero_zero_real-> (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A),C)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),C)<->A=B)).
% 224.43/223.17  all A B C (C!=zero_zero_real-> (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B)<->A=B)).
% 224.43/223.17  all X_2 Y_2 Z_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Z_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2)))).
% 224.43/223.17  all X_2 Y_2 Z_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Z_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2)))).
% 224.43/223.17  all X_2 Y_2 Z_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),X_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2)))).
% 224.43/223.17  all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_1))))).
% 224.43/223.17  all X_1 Y_1 Z_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_1),Y_1))))).
% 224.43/223.17  all C_1 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_1),A_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_1),B_2)))).
% 224.43/223.17  all C_1 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),C_1)))).
% 224.43/223.17  all Z_1 X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_1),Y_1)))).
% 224.43/223.17  all A_3 B_2 P_3 Q_2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_3),B_2))),hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2)))=hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),P_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),Q_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),P_3))))).
% 224.43/223.17  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),A_3)),one_one_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),one_one_int),P_3))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),P_3))))).
% 224.43/223.17  all A_3 P_3 (is_int(A_3)-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),A_3)),one_one_int),P_3))->A_3=one_one_int|A_3=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))))).
% 224.43/223.17  all A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))->B_2=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_3),B_2))).
% 224.43/223.17  all Ma K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))<->K_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),N))).
% 224.43/223.17  all X_2 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),N)=one_one_nat<->X_2=one_one_nat|N=zero_zero_nat).
% 224.43/223.17  all A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),B_2))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.43/223.17  all N Ma (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Ma)=one_one_nat<->N=one_one_nat&Ma=one_one_nat).
% 224.43/223.17  all Z1 Z2 W (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z1),Z2)),W)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z1),W)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z2),W))).
% 224.43/223.17  all X_2 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_2),X_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_2),Y_2))=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real).
% 224.43/223.17  all X_22 Y_17 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_22),Y_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_22),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_17),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_22)),Y_17))).
% 224.43/223.17  all X_22 Y_17 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_22),Y_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_22),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_17),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_22)),Y_17))).
% 224.43/223.17  all X_22 Y_17 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_22),Y_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_22),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_17),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_22)),Y_17))).
% 224.43/223.17  all X_22 Y_17 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_22),Y_17)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_22),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_17),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_22)),Y_17))).
% 224.43/223.17  all A_3 B_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),B_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_3)),B_2))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.43/223.17  all A_3 B_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),B_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),B_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),A_3)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))).
% 224.43/223.17  all X_1 Q_2 N_1 R_3 (X_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Q_2),N_1)),R_3)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),R_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_3),N_1))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),X_1))))).
% 224.43/223.17  all N_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),N_1)=one_one_int|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),N_1)=hAPP_int_int(number_number_of_int,min)).
% 224.43/223.17  all A_3 P_3 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),P_3))->hAPP_int_int(legendre(A_3),P_3)=zero_zero_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_3))->hAPP_int_int(legendre(A_3),P_3)=one_one_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_3))->hAPP_int_int(legendre(A_3),P_3)=hAPP_int_int(number_number_of_int,min)))).
% 224.43/223.17  all Ma X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Ma),X_2))<-> (exists Y (is_int(Y)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_2),Ma))))).
% 224.43/223.17  all A_3 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_3))-> (exists R_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_1))&hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_1),N_1)=A_3)))).
% 224.43/223.17  all A_3 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_3))-> (exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))&hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N_1)=A_3& (all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))&hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y),N_1)=A_3->Y=X)))))).
% 224.43/223.17  all N Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),N)),Ma))<->N=one_one_nat)).
% 224.43/223.17  all N Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Ma)),Ma))<->N=one_one_nat)).
% 224.43/223.17  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 224.43/223.17  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,N_1))))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,N_1))))).
% 224.43/223.17  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 224.43/223.17  all X_2 (is_int(X_2)-> (hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,X_2))<-> (exists A_2 B_4 (is_int(A_2)&is_int(B_4)&hAPP_P1175774780nt_int(twoSqu1907779896sum2sq,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_2),B_4))=X_2)))).
% 224.43/223.17  all X_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),X_1)).
% 224.43/223.17  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)=zero_zero_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M)=zero_zero_nat->M=N_1)).
% 224.43/223.17  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),M)=zero_zero_nat).
% 224.43/223.17  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),zero_zero_nat)=M).
% 224.43/223.17  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N_1)=zero_zero_nat).
% 224.43/223.17  all N_1 J_2 K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),N_1)),K_2))).
% 224.43/223.17  all L_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),L_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),M))))).
% 224.43/223.17  all N_1 K_2 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1))))).
% 224.43/223.17  all M K_2 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)).
% 224.43/223.17  all K_2 M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)).
% 224.43/223.17  all I J_2 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),J_2)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),K_2))).
% 224.43/223.17  all N_1 M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M)),N_1)=M).
% 224.43/223.17  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)),N_1)=M).
% 224.43/223.17  all N K_1 Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))))).
% 224.43/223.17  all N_1 K_2 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1))).
% 224.43/223.17  all N K_1 Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)<->Ma=N))).
% 224.43/223.17  all I N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),I))=I).
% 224.43/223.17  all L_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),L_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),L_2)))).
% 224.43/223.17  all L_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),M)))).
% 224.43/223.17  all M N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),M)).
% 224.43/223.17  all K_2 M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 224.43/223.17  all M N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2))).
% 224.43/223.17  all N Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.43/223.17  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),M)))).
% 224.43/223.17  all N_1 M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M))=zero_zero_nat).
% 224.43/223.17  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),N)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.43/223.17  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)=zero_zero_nat).
% 224.43/223.17  all M N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1))=M).
% 224.43/223.17  all I_1 J K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J))).
% 224.43/223.17  all N K_1 Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))))).
% 224.43/223.17  all C_1 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_3),B_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_1),A_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_3),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,B_2),C_1))))).
% 224.43/223.17  all K_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))))).
% 224.43/223.17  all K_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M))))).
% 224.43/223.17  all I K_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),I)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),K_2)),I)).
% 224.49/223.17  all I K_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),K_2)),I)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),I)),K_2)).
% 224.49/223.17  all I K_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J_2)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),K_2))).
% 224.49/223.17  all K_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)=K_1<->J=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),I_1))).
% 224.49/223.17  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1)=M).
% 224.49/223.17  all I_1 K_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),J)))).
% 224.49/223.17  all I K_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J_2)),K_2)).
% 224.49/223.17  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1))=M).
% 224.49/223.17  all M K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M)),K_2)))).
% 224.49/223.17  all J K_1 I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),K_1)),I_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)))).
% 224.49/223.17  all I K_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_2)),J_2)).
% 224.49/223.17  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,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_2),Y_2)),zero_zero_real))).
% 224.49/223.17  all P_1 A B (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)))<-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))& -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| (exists D_2 (A=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D_2)& -hBOOL(hAPP_nat_bool(P_1,D_2)))))).
% 224.49/223.17  all P_1 A B (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A),B)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (all D_2 (A=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),D_2)->hBOOL(hAPP_nat_bool(P_1,D_2))))).
% 224.49/223.17  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))).
% 224.49/223.17  all Ma N (Ma!=N<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma))).
% 224.49/223.17  all X_1 Y_1 (X_1!=Y_1-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_1),X_1)))).
% 224.49/223.17  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_1))).
% 224.49/223.17  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M))->M!=N_1).
% 224.49/223.17  all S_1 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_1),T_1))->S_1!=T_1).
% 224.49/223.17  all P_1 Ma N ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),Ma)))-> ((Ma=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),Ma)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),Ma)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N),Ma))))).
% 224.49/223.17  all X_1 (-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),X_1)))).
% 224.49/223.17  all X_2 Y_2 (X_2=Y_2<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))).
% 224.49/223.17  all X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))|X_2=Y_2).
% 224.49/223.17  all X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))&X_2!=Y_2).
% 224.49/223.17  all X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))).
% 224.49/223.17  all A_3 B_2 (A_3!=B_2-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),A_3)))).
% 224.49/223.17  all X_1 Y_1 (X_1=Y_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))).
% 224.49/223.17  all Y_2 X_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))<->X_2=Y_2)).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))|X_1=Y_1).
% 224.49/223.17  all A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))-> (A_3!=B_2->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),A_3)))).
% 224.49/223.17  all C_1 A_3 B_2 (A_3=B_2-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),C_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),C_1)))).
% 224.49/223.17  all C_1 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))-> (B_2=C_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),C_1)))).
% 224.49/223.17  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M))->M=N_1)).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))->X_1=Y_1)).
% 224.49/223.17  all Z_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z_1)))).
% 224.49/223.17  all C_1 A_3 B_2 (A_3=B_2-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),C_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),C_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),A_3)))).
% 224.49/223.17  all Z_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),X_1)))).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))->X_1!=Y_1).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)))).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)))).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))->X_1!=Y_1).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))->Y_1!=X_1).
% 224.49/223.17  all P_1 X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_2),X_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))->hBOOL(P_1))).
% 224.49/223.17  all C_1 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),A_3))-> (B_2=C_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),C_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_1),A_3)))).
% 224.49/223.17  all Z_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),X_1)))).
% 224.49/223.17  all A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),A_3))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),A_3))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2)))).
% 224.49/223.17  all Z_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),X_1)))).
% 224.49/223.17  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1)))).
% 224.49/223.17  all Ma K_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)<->Ma=N).
% 224.49/223.17  all K_1 Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)<->Ma=N).
% 224.49/223.17  all M N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),K_2))).
% 224.49/223.17  all X_1 Y_1 Z_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_1),Z_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Z_1))).
% 224.49/223.17  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M)).
% 224.49/223.17  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->M=N_1)).
% 224.49/223.18  all K_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),K_2)))).
% 224.49/223.18  all M N_1 (M=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 224.49/223.18  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))).
% 224.49/223.18  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),N_1)).
% 224.49/223.18  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M)).
% 224.49/223.18  all M N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2))).
% 224.49/223.18  all N_1 M ((M=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)=zero_zero_nat)& (M!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),one_one_nat)),N_1)))).
% 224.49/223.18  all P_3 M ((M=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),M)=one_one_nat)& (M!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),one_one_nat))))).
% 224.49/223.18  all X_21 N_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),one_one_nat))),X_21)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_21),N_31)).
% 224.49/223.18  all X_21 N_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),one_one_nat))),X_21)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_21),N_31)).
% 224.49/223.18  all X_21 N_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),one_one_nat))),X_21)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_21),N_31)).
% 224.49/223.18  all X_21 N_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),one_one_nat))),X_21)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_21),N_31)).
% 224.49/223.18  all X_21 N_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),one_one_nat))),X_21)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_21),N_31)).
% 224.49/223.18  all X_21 N_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),one_one_nat))),X_21)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_21),N_31)).
% 224.49/223.18  all X_21 N_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_31),one_one_nat))),X_21)=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_21),N_31)).
% 224.49/223.18  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 224.49/223.18  all N (N!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.49/223.18  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),zero_zero_nat))).
% 224.49/223.18  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->N_1!=zero_zero_nat).
% 224.49/223.18  all N_1 (N_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 224.49/223.18  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)=M->N_1=zero_zero_nat).
% 224.49/223.18  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),N)=zero_zero_nat<->Ma=zero_zero_nat&N=zero_zero_nat).
% 224.49/223.18  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),zero_zero_nat)=M).
% 224.49/223.18  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N_1)=N_1).
% 224.49/223.18  all P_2 P_1 X_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(P_1)<->hBOOL(P_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))&hBOOL(P_1)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))&hBOOL(P_2))).
% 224.49/223.18  all P_2 P_1 X_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(P_1)<->hBOOL(P_2)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(P_1))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(P_2)))).
% 224.49/223.18  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),zero_zero_nat))<->N=zero_zero_nat).
% 224.49/223.18  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N_1)).
% 224.49/223.18  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),N_1)=zero_zero_nat).
% 224.49/223.18  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),zero_zero_nat)=zero_zero_nat).
% 224.49/223.18  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),N)=zero_zero_nat<->Ma=zero_zero_nat|N=zero_zero_nat).
% 224.49/223.18  all K_1 Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)<->Ma=N|K_1=zero_zero_nat).
% 224.49/223.18  all Ma K_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),K_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)<->Ma=N|K_1=zero_zero_nat).
% 224.49/223.18  all I J_2 K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J_2)),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_2))).
% 224.49/223.18  all M N_1 K_2 L_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),L_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),L_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_1)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)))).
% 224.49/223.18  all K_2 L_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_2),L_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),L_2))))).
% 224.49/223.18  all K_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),K_2)))).
% 224.49/223.18  all M I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),J_2)))).
% 224.49/223.18  all M I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),M)))).
% 224.49/223.18  all K_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.18  all J_2 I (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),I)),I))).
% 224.49/223.18  all I J_2 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J_2)),I))).
% 224.49/223.18  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))|M=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 224.49/223.18  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))-> (M!=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1)))).
% 224.49/223.18  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 224.49/223.18  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))|Ma=N).
% 224.49/223.18  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))&Ma!=N).
% 224.49/223.18  all K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))).
% 224.49/223.18  all M K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)),N_1))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1)))).
% 224.49/223.18  all M K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 224.49/223.18  all M K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1))).
% 224.49/223.18  all K_2 L_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),L_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),L_2))))).
% 224.49/223.18  all K_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),K_2)))).
% 224.49/223.18  all M I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),J_2)))).
% 224.49/223.18  all M I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J_2),M)))).
% 224.49/223.18  all K_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.18  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))<-> (exists K (N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),K)))).
% 224.49/223.18  all N_1 M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),M))).
% 224.49/223.18  all N_1 M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))).
% 224.49/223.18  all K_2 M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 224.49/223.18  all M N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2))).
% 224.49/223.18  all Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),one_one_nat))<->Ma=one_one_nat).
% 224.49/223.18  all M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),M))).
% 224.49/223.18  all M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),M)))).
% 224.49/223.18  all K_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_2),K_2)))).
% 224.49/223.18  all K_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),I)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),J_2)))).
% 224.49/223.18  all K_2 L_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),L_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_2),L_2))))).
% 224.49/223.18  all X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))).
% 224.49/223.18  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),N_1)=N_1).
% 224.49/223.18  all Ma N (one_one_nat=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),N)<->Ma=one_one_nat&N=one_one_nat).
% 224.49/223.18  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),one_one_nat)=N_1).
% 224.49/223.18  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),N)=one_one_nat<->Ma=one_one_nat&N=one_one_nat).
% 224.49/223.18  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),M)))).
% 224.49/223.18  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),N)))<->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),N))).
% 224.49/223.18  all K_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),I)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),J_2))))).
% 224.49/223.18  all K_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_2),K_2))))).
% 224.49/223.18  all Ma K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.18  all K_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.18  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),N)))<->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),N))).
% 224.49/223.18  all M N_1 (M=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)->N_1=one_one_nat|M=zero_zero_nat).
% 224.49/223.18  all Ma Ta K_1 (is_int(K_1)-> (K_1!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),Ta))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Ma)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),Ta)))))).
% 224.49/223.18  all P_1 L ((exists X hBOOL(hAPP_C24501650l_bool(P_1,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,L),X))))<-> (exists X (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,L),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),zero_z126310315umeral)))&hBOOL(hAPP_C24501650l_bool(P_1,X))))).
% 224.49/223.18  all P_1 L ((exists X hBOOL(hAPP_real_bool(P_1,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,L),X))))<-> (exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,L),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),zero_zero_real)))&hBOOL(hAPP_real_bool(P_1,X))))).
% 224.49/223.18  all P_1 L ((exists X hBOOL(hAPP_complex_bool(P_1,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,L),X))))<-> (exists X (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,L),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),zero_zero_complex)))&hBOOL(hAPP_complex_bool(P_1,X))))).
% 224.49/223.18  all P_1 L ((exists X hBOOL(hAPP_Q2096512830t_bool(P_1,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,L),X))))<-> (exists X (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,L),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),zero_z891286103de_int)))&hBOOL(hAPP_Q2096512830t_bool(P_1,X))))).
% 224.49/223.18  all P_1 L ((exists X hBOOL(hAPP_rat_bool(P_1,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,L),X))))<-> (exists X (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,L),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),zero_zero_rat)))&hBOOL(hAPP_rat_bool(P_1,X))))).
% 224.49/223.18  all P_1 L ((exists X (is_int(X)&hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,L),X)))))<-> (exists X (is_int(X)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,L),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),zero_zero_int)))&hBOOL(hAPP_int_bool(P_1,X))))).
% 224.49/223.18  all P_1 L ((exists X hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,L),X))))<-> (exists X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,L),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),zero_zero_nat)))&hBOOL(hAPP_nat_bool(P_1,X))))).
% 224.49/223.18  all Ta D D_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),D_1))-> (all X K (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Ta)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,K),D_1))),Ta)))))).
% 224.49/223.18  all Ta D D_1 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D),D_1))-> (all X K (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),Ta)))<->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,K),D_1))),Ta)))))).
% 224.49/223.18  all Ta D D_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),D_1))-> (all X K (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Ta)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,K),D_1))),Ta)))))).
% 224.49/223.18  all Ta D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Ta)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1))),Ta)))))).
% 224.49/223.18  all Ta D D_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),D_1))-> (all X K (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Ta)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,K),D_1))),Ta)))))).
% 224.49/223.18  all Ta D D_1 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D),D_1))-> (all X K (-hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),Ta)))<-> -hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,K),D_1))),Ta)))))).
% 224.49/223.18  all Ta D D_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),D_1))-> (all X K (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Ta)))<-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,K),D_1))),Ta)))))).
% 224.49/223.18  all Ta D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X K (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Ta)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1))),Ta)))))).
% 224.49/223.18  hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,pls))).
% 224.49/223.18  all K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N_1)))).
% 224.49/223.18  all K_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N_1)))).
% 224.49/223.18  all Ma K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),K_1)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N)))).
% 224.49/223.18  all K_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N)))).
% 224.49/223.18  all K_1 P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X (is_int(X)-> (hBOOL(hAPP_int_bool(P_1,X))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (all X (hBOOL(hAPP_int_bool(P_1,X))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D))))))))).
% 224.49/223.18  all N P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,N))-> (exists K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),N))& (all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K))-> -hBOOL(hAPP_nat_bool(P_1,I_2))))&hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),one_one_nat))))))).
% 224.49/223.18  all K_1 P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X (is_int(X)-> (hBOOL(hAPP_int_bool(P_1,X))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1))-> (all X (hBOOL(hAPP_int_bool(P_1,X))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D))))))))).
% 224.49/223.18  all M_17 N_30 ((N_30=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_17),N_30)=one_one_int)& (N_30!=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_17),N_30)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_17),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_17),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_30),one_one_nat))))).
% 224.49/223.18  all M_17 N_30 ((N_30=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_17),N_30)=one_one_nat)& (N_30!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_17),N_30)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_17),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_17),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_30),one_one_nat))))).
% 224.49/223.18  all M_17 N_30 ((N_30=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,M_17),N_30)=one_one_real)& (N_30!=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,M_17),N_30)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,M_17),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,M_17),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_30),one_one_nat))))).
% 224.49/223.18  all M_17 N_30 ((N_30=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,M_17),N_30)=one_on1645066479umeral)& (N_30!=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,M_17),N_30)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,M_17),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,M_17),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_30),one_one_nat))))).
% 224.49/223.18  all M_17 N_30 ((N_30=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,M_17),N_30)=one_one_complex)& (N_30!=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,M_17),N_30)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,M_17),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,M_17),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_30),one_one_nat))))).
% 224.49/223.18  all M_17 N_30 ((N_30=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,M_17),N_30)=one_on1684967323de_int)& (N_30!=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,M_17),N_30)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,M_17),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,M_17),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_30),one_one_nat))))).
% 224.49/223.18  all M_17 N_30 ((N_30=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,M_17),N_30)=one_one_rat)& (N_30!=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,M_17),N_30)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,M_17),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,M_17),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_30),one_one_nat))))).
% 224.49/223.18  all A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_3))-> (exists P_4 (is_int(P_4)&hBOOL(hAPP_int_bool(zprime,P_4))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),A_3))))).
% 224.49/223.18  all A_3 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (exists X (is_int(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),M))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),X),M))& (all Y (is_int(Y)-> (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_int,Y),M))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),Y),M))->Y=X)))))).
% 224.49/223.18  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_2),one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),B_2))).
% 224.49/223.18  all U Ma N J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),Ma)),N)))).
% 224.49/223.18  all U Ma N I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)),U)),N))))).
% 224.49/223.18  all I J_2 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),J_2)),K_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),K_2)),J_2)).
% 224.49/223.18  all K_1 Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)<->K_1=zero_zero_nat|Ma=N).
% 224.49/223.18  all I U_1 J_2 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I),U_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_2),U_1)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),J_2)),U_1)),K_2)).
% 224.49/223.18  all Ma N K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)<->Ma=N)).
% 224.49/223.18  all Ma N K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)))).
% 224.49/223.18  all K_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->K_1=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),N))).
% 224.49/223.18  all U Ma N I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)<->Ma=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)),U)),N))).
% 224.49/223.18  all U_1 M N_1 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I),U_1)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_2),U_1)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),I)),U_1)),N_1))).
% 224.49/223.18  all U Ma N I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J),I_1)),U)),N))))).
% 224.49/223.18  all U Ma N J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),Ma)=N)).
% 224.49/223.18  all U_1 M N_1 J_2 I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J_2),I))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I),U_1)),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J_2),U_1)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I),J_2)),U_1)),M)),N_1)).
% 224.49/223.18  all U Ma N J I_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,J),I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,I_1),U)),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,J),U)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,I_1),J)),U)),Ma)),N)))).
% 224.49/223.18  all Ma N K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),N)))).
% 224.49/223.18  all Ma N K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N)))).
% 224.49/223.18  all P_3 (hBOOL(hAPP_int_bool(zprime,P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int))),hAPP_int_int(number_number_of_int,min)),P_3))).
% 224.49/223.18  all B_97 A_118 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_118),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_97),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_118),B_97)),zero_z126310315umeral)))).
% 224.49/223.18  all B_97 A_118 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_118),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_97),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_118),B_97)),zero_zero_int)))).
% 224.49/223.18  all B_97 A_118 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_118),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_97),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_118),B_97)),zero_zero_nat)))).
% 224.49/223.18  all B_97 A_118 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_118),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_97),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_118),B_97)),zero_zero_real)))).
% 224.49/223.18  all B_97 A_118 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_118),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_97),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_118),B_97)),zero_z891286103de_int)))).
% 224.49/223.18  all B_97 A_118 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_118),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_97),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_118),B_97)),zero_zero_rat)))).
% 224.49/223.18  all B_96 A_117 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_117),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_96),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_117),B_96)),zero_z126310315umeral)))).
% 224.49/223.18  all B_96 A_117 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_117),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_96),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_117),B_96)),zero_zero_int)))).
% 224.49/223.18  all B_96 A_117 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_117),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_96),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_117),B_96)),zero_zero_nat)))).
% 224.49/223.18  all B_96 A_117 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_117),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_96),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_117),B_96)),zero_zero_real)))).
% 224.49/223.18  all B_96 A_117 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_117),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_96),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_117),B_96)),zero_z891286103de_int)))).
% 224.49/223.18  all B_96 A_117 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_117),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_96),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_117),B_96)),zero_zero_rat)))).
% 224.49/223.18  all B_95 C_53 A_116 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_116))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_95),C_53))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_95),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_116),C_53))))).
% 224.49/223.18  all B_95 C_53 A_116 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_116))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_95),C_53))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_95),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_116),C_53))))).
% 224.49/223.18  all B_95 C_53 A_116 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_116))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_95),C_53))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_95),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_116),C_53))))).
% 224.49/223.18  all B_95 C_53 A_116 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_116))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_95),C_53))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_95),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_116),C_53))))).
% 224.49/223.18  all B_95 C_53 A_116 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_116))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_95),C_53))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_95),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_116),C_53))))).
% 224.49/223.18  all B_95 C_53 A_116 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_116))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_95),C_53))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_95),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_116),C_53))))).
% 224.49/223.18  all B_94 C_52 A_115 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_115))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_94),C_52))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_94),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_115),C_52))))).
% 224.49/223.18  all B_94 C_52 A_115 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_115))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_94),C_52))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_94),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_115),C_52))))).
% 224.49/223.18  all B_94 C_52 A_115 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_115))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_94),C_52))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_94),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_115),C_52))))).
% 224.49/223.18  all B_94 C_52 A_115 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_115))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_94),C_52))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_94),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_115),C_52))))).
% 224.49/223.18  all B_94 C_52 A_115 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_115))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_94),C_52))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_94),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_115),C_52))))).
% 224.49/223.18  all B_94 C_52 A_115 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_115))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_94),C_52))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_94),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_115),C_52))))).
% 224.49/223.18  all B_93 A_114 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_114))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_93))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_114),B_93))))).
% 224.49/223.18  all B_93 A_114 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_114))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_93))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_114),B_93))))).
% 224.49/223.18  all B_93 A_114 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_114))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_93))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_114),B_93))))).
% 224.49/223.18  all B_93 A_114 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_114))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_93))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_114),B_93))))).
% 224.49/223.18  all B_93 A_114 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_114))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_93))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_114),B_93))))).
% 224.49/223.18  all B_93 A_114 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_114))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_93))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_114),B_93))))).
% 224.49/223.18  all B_92 A_113 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_113))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_92))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_113),B_92))))).
% 224.49/223.18  all B_92 A_113 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_113))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_92))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_113),B_92))))).
% 224.49/223.18  all B_92 A_113 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_113))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_92))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_113),B_92))))).
% 224.49/223.18  all B_92 A_113 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_113))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_92))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_113),B_92))))).
% 224.49/223.18  all B_92 A_113 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_113))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_92))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_113),B_92))))).
% 224.49/223.18  all B_92 A_113 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_113))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_92))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_113),B_92))))).
% 224.49/223.18  all A_3 P_3 (is_int(A_3)-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),P_3))->hAPP_int_int(inv(P_3),hAPP_int_int(inv(P_3),A_3))=A_3))))).
% 224.49/223.18  all J_2 A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),J_2))),P_3))))))).
% 224.49/223.18  all J_2 K_2 A_3 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,J_2),K_2)),A_3),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(multInv(P_3),J_2)),J_2)),K_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(multInv(P_3),J_2)),A_3)),P_3))).
% 224.49/223.18  all J_2 A_3 P_3 K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),K_2))),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,J_2),K_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),K_2))),K_2)),P_3))).
% 224.49/223.18  all X_2 (is_int(X_2)-> (zero_zero_int=X_2<->X_2=zero_zero_int)).
% 224.49/223.18  all X_2 (zero_zero_nat=X_2<->X_2=zero_zero_nat).
% 224.49/223.18  all X_2 (zero_zero_real=X_2<->X_2=zero_zero_real).
% 224.49/223.18  all X_2 (zero_z126310315umeral=X_2<->X_2=zero_z126310315umeral).
% 224.49/223.18  all X_2 (zero_zero_complex=X_2<->X_2=zero_zero_complex).
% 224.49/223.18  all X_2 (zero_z891286103de_int=X_2<->X_2=zero_z891286103de_int).
% 224.49/223.18  all X_2 (zero_zero_rat=X_2<->X_2=zero_zero_rat).
% 224.49/223.18  all A_112 B_91 C_51 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_112),B_91)),C_51)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_112),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_91),C_51))).
% 224.49/223.18  all A_112 B_91 C_51 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_112),B_91)),C_51)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_112),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_91),C_51))).
% 224.49/223.18  all A_112 B_91 C_51 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_112),B_91)),C_51)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_112),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_91),C_51))).
% 224.49/223.18  all A_112 B_91 C_51 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_112),B_91)),C_51)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_112),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_91),C_51))).
% 224.49/223.18  all A_112 B_91 C_51 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_112),B_91)),C_51)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_112),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_91),C_51))).
% 224.49/223.18  all A_112 B_91 C_51 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_112),B_91)),C_51)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_112),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_91),C_51))).
% 224.49/223.18  all A_112 B_91 C_51 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_112),B_91)),C_51)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_112),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_91),C_51))).
% 224.49/223.18  all B_90 A_111 C_50 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_90),A_111)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_50),A_111)->B_90=C_50).
% 224.49/223.18  all B_90 A_111 C_50 (is_int(B_90)&is_int(C_50)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_90),A_111)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_50),A_111)->B_90=C_50)).
% 224.49/223.18  all B_90 A_111 C_50 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_90),A_111)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_50),A_111)->B_90=C_50).
% 224.49/223.18  all B_90 A_111 C_50 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_90),A_111)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_50),A_111)->B_90=C_50).
% 224.49/223.18  all B_90 A_111 C_50 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_90),A_111)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_50),A_111)->B_90=C_50).
% 224.49/223.18  all B_90 A_111 C_50 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_90),A_111)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_50),A_111)->B_90=C_50).
% 224.49/223.18  all B_90 A_111 C_50 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_90),A_111)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_50),A_111)->B_90=C_50).
% 224.49/223.18  all A_110 B_89 C_49 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_110),B_89)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_110),C_49)->B_89=C_49).
% 224.49/223.18  all A_110 B_89 C_49 (is_int(B_89)&is_int(C_49)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_110),B_89)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_110),C_49)->B_89=C_49)).
% 224.49/223.18  all A_110 B_89 C_49 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_110),B_89)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_110),C_49)->B_89=C_49).
% 224.49/223.18  all A_110 B_89 C_49 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_110),B_89)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_110),C_49)->B_89=C_49).
% 224.49/223.18  all A_110 B_89 C_49 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_110),B_89)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_110),C_49)->B_89=C_49).
% 224.49/223.18  all A_110 B_89 C_49 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_110),B_89)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_110),C_49)->B_89=C_49).
% 224.49/223.18  all A_110 B_89 C_49 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_110),B_89)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_110),C_49)->B_89=C_49).
% 224.49/223.18  all A_109 B_88 C_48 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_109),B_88)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_109),C_48)->B_88=C_48).
% 224.49/223.18  all A_109 B_88 C_48 (is_int(B_88)&is_int(C_48)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_109),B_88)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_109),C_48)->B_88=C_48)).
% 224.49/223.18  all A_109 B_88 C_48 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_109),B_88)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_109),C_48)->B_88=C_48).
% 224.49/223.18  all A_109 B_88 C_48 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_109),B_88)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_109),C_48)->B_88=C_48).
% 224.49/223.18  all A_109 B_88 C_48 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_109),B_88)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_109),C_48)->B_88=C_48).
% 224.49/223.18  all A_109 B_88 C_48 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_109),B_88)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_109),C_48)->B_88=C_48).
% 224.49/223.18  all A_109 B_88 C_48 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_109),B_88)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_109),C_48)->B_88=C_48).
% 224.49/223.19  all B A C (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),A)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),A)<->B=C).
% 224.49/223.19  all B A C (is_int(B)&is_int(C)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),A)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A)<->B=C)).
% 224.49/223.19  all B A C (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A)<->B=C).
% 224.49/223.19  all B A C (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),A)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),A)<->B=C).
% 224.49/223.19  all B A C (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B),A)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),A)<->B=C).
% 224.49/223.19  all B A C (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),A)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),A)<->B=C).
% 224.49/223.19  all B A C (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),A)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),A)<->B=C).
% 224.49/223.19  all A B C (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),B)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)<->B=C).
% 224.49/223.19  all A B C (is_int(B)&is_int(C)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)<->B=C)).
% 224.49/223.19  all A B C (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),B)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)<->B=C).
% 224.49/223.19  all A B C (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)<->B=C).
% 224.49/223.19  all A B C (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),B)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A),C)<->B=C).
% 224.49/223.19  all A B C (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),B)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)<->B=C).
% 224.49/223.19  all A B C (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),B)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)<->B=C).
% 224.49/223.19  all A_108 B_87 C_47 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_108),B_87)),C_47)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_108),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_87),C_47))).
% 224.49/223.19  all A_108 B_87 C_47 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_108),B_87)),C_47)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_108),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_87),C_47))).
% 224.49/223.19  all A_108 B_87 C_47 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_108),B_87)),C_47)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_108),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_87),C_47))).
% 224.49/223.19  all A_108 B_87 C_47 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_108),B_87)),C_47)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_108),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_87),C_47))).
% 224.49/223.19  all A_108 B_87 C_47 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_108),B_87)),C_47)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_108),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_87),C_47))).
% 224.49/223.19  all A_108 B_87 C_47 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_108),B_87)),C_47)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_108),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_87),C_47))).
% 224.49/223.19  all A_108 B_87 C_47 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_108),B_87)),C_47)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_108),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_87),C_47))).
% 224.49/223.19  all X_2 (is_int(X_2)-> (one_one_int=X_2<->X_2=one_one_int)).
% 224.49/223.19  all X_2 (one_one_nat=X_2<->X_2=one_one_nat).
% 224.49/223.19  all X_2 (one_one_real=X_2<->X_2=one_one_real).
% 224.49/223.19  all X_2 (one_on1645066479umeral=X_2<->X_2=one_on1645066479umeral).
% 224.49/223.19  all X_2 (one_one_complex=X_2<->X_2=one_one_complex).
% 224.49/223.19  all X_2 (one_on1684967323de_int=X_2<->X_2=one_on1684967323de_int).
% 224.49/223.19  all X_2 (one_one_rat=X_2<->X_2=one_one_rat).
% 224.49/223.19  all A B C D (is_int(A)&is_int(B)&is_int(C)&is_int(D)-> (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)-> (A=B<->C=D))).
% 224.49/223.19  all A B C D (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)-> (A=B<->C=D)).
% 224.49/223.19  all A B C D (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),D)-> (A=B<->C=D)).
% 224.49/223.19  all A B C D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)-> (A=B<->C=D)).
% 224.49/223.19  all A_107 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_107),zero_z126310315umeral)=A_107).
% 224.49/223.19  all A_107 (is_int(A_107)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_107),zero_zero_int)=A_107).
% 224.49/223.19  all A_107 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_107),zero_zero_nat)=A_107).
% 224.49/223.19  all A_107 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_107),zero_zero_real)=A_107).
% 224.49/223.19  all A_107 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_107),zero_zero_complex)=A_107).
% 224.49/223.19  all A_107 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_107),zero_z891286103de_int)=A_107).
% 224.49/223.19  all A_107 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_107),zero_zero_rat)=A_107).
% 224.49/223.19  all A_106 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_106),zero_z126310315umeral)=A_106).
% 224.49/223.19  all A_106 (is_int(A_106)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_106),zero_zero_int)=A_106).
% 224.49/223.19  all A_106 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_106),zero_zero_nat)=A_106).
% 224.49/223.19  all A_106 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_106),zero_zero_real)=A_106).
% 224.49/223.19  all A_106 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_106),zero_zero_complex)=A_106).
% 224.49/223.19  all A_106 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_106),zero_z891286103de_int)=A_106).
% 224.49/223.19  all A_106 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_106),zero_zero_rat)=A_106).
% 224.49/223.19  all A (is_int(A)-> (zero_zero_int=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)<->A=zero_zero_int)).
% 224.49/223.19  all A (zero_zero_real=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)<->A=zero_zero_real).
% 224.49/223.19  all A (zero_zero_rat=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)<->A=zero_zero_rat).
% 224.49/223.19  all A_105 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_105)=A_105).
% 224.49/223.19  all A_105 (is_int(A_105)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_105)=A_105).
% 224.49/223.19  all A_105 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_105)=A_105).
% 224.49/223.19  all A_105 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_105)=A_105).
% 224.49/223.19  all A_105 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_105)=A_105).
% 224.49/223.19  all A_105 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_105)=A_105).
% 224.49/223.19  all A_105 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_105)=A_105).
% 224.49/223.19  all A_104 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_104)=A_104).
% 224.49/223.19  all A_104 (is_int(A_104)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_104)=A_104).
% 224.49/223.19  all A_104 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_104)=A_104).
% 224.49/223.19  all A_104 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_104)=A_104).
% 224.49/223.19  all A_104 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_104)=A_104).
% 224.49/223.19  all A_104 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_104)=A_104).
% 224.49/223.19  all A_104 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_104)=A_104).
% 224.49/223.19  all C_46 A_103 B_86 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_46),A_103)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_46),B_86)))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_103),B_86))).
% 224.49/223.19  all C_46 A_103 B_86 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_46),A_103)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_46),B_86)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_103),B_86))).
% 224.49/223.19  all C_46 A_103 B_86 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_46),A_103)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_46),B_86)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_103),B_86))).
% 224.49/223.19  all C_46 A_103 B_86 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_46),A_103)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_46),B_86)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_103),B_86))).
% 224.49/223.19  all C_46 A_103 B_86 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_46),A_103)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_46),B_86)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_103),B_86))).
% 224.49/223.19  all C_46 A_103 B_86 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_46),A_103)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_46),B_86)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_103),B_86))).
% 224.49/223.19  all A_102 C_45 B_85 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_102),C_45)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_85),C_45)))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_102),B_85))).
% 224.49/223.19  all A_102 C_45 B_85 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_102),C_45)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_85),C_45)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_102),B_85))).
% 224.49/223.19  all A_102 C_45 B_85 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_102),C_45)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_85),C_45)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_102),B_85))).
% 224.49/223.19  all A_102 C_45 B_85 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_102),C_45)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_85),C_45)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_102),B_85))).
% 224.49/223.19  all A_102 C_45 B_85 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_102),C_45)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_85),C_45)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_102),B_85))).
% 224.49/223.19  all A_102 C_45 B_85 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_102),C_45)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_85),C_45)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_102),B_85))).
% 224.49/223.19  all C_44 D_8 A_101 B_84 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_101),B_84))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_44),D_8))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_101),C_44)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_84),D_8))))).
% 224.49/223.19  all C_44 D_8 A_101 B_84 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_101),B_84))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_44),D_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_101),C_44)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_84),D_8))))).
% 224.49/223.19  all C_44 D_8 A_101 B_84 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_101),B_84))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_44),D_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_101),C_44)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_84),D_8))))).
% 224.49/223.19  all C_44 D_8 A_101 B_84 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_101),B_84))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_44),D_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_101),C_44)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_84),D_8))))).
% 224.49/223.19  all C_44 D_8 A_101 B_84 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_101),B_84))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_44),D_8))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_101),C_44)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_84),D_8))))).
% 224.49/223.19  all C_44 D_8 A_101 B_84 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_101),B_84))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_44),D_8))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_101),C_44)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_84),D_8))))).
% 224.49/223.19  all C_43 A_100 B_83 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_100),B_83))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_43),A_100)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_43),B_83)))).
% 224.49/223.19  all C_43 A_100 B_83 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_100),B_83))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_43),A_100)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_43),B_83)))).
% 224.49/223.19  all C_43 A_100 B_83 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_100),B_83))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_43),A_100)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_43),B_83)))).
% 224.49/223.19  all C_43 A_100 B_83 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_100),B_83))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_43),A_100)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_43),B_83)))).
% 224.49/223.19  all C_43 A_100 B_83 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_100),B_83))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_43),A_100)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_43),B_83)))).
% 224.49/223.19  all C_43 A_100 B_83 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_100),B_83))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_43),A_100)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_43),B_83)))).
% 224.49/223.19  all C_42 A_99 B_82 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_99),B_82))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_99),C_42)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_82),C_42)))).
% 224.49/223.19  all C_42 A_99 B_82 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_99),B_82))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_99),C_42)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_82),C_42)))).
% 224.49/223.19  all C_42 A_99 B_82 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_99),B_82))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_99),C_42)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_82),C_42)))).
% 224.49/223.19  all C_42 A_99 B_82 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_99),B_82))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_99),C_42)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_82),C_42)))).
% 224.49/223.19  all C_42 A_99 B_82 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_99),B_82))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_99),C_42)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_82),C_42)))).
% 224.49/223.19  all C_42 A_99 B_82 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_99),B_82))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_99),C_42)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_82),C_42)))).
% 224.49/223.19  all C A B (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),A)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),B)))<->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),A)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C)))<->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),C)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A),B))).
% 224.49/223.19  all C_41 A_98 B_81 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_41),A_98)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_41),B_81)))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_98),B_81))).
% 224.49/223.19  all C_41 A_98 B_81 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_41),A_98)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_41),B_81)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_98),B_81))).
% 224.49/223.19  all C_41 A_98 B_81 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_41),A_98)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_41),B_81)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_98),B_81))).
% 224.49/223.19  all C_41 A_98 B_81 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_41),A_98)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_41),B_81)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_98),B_81))).
% 224.49/223.19  all C_41 A_98 B_81 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_41),A_98)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_41),B_81)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_98),B_81))).
% 224.49/223.19  all C_41 A_98 B_81 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_41),A_98)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_41),B_81)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_98),B_81))).
% 224.49/223.19  all A_97 C_40 B_80 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_97),C_40)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_80),C_40)))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_97),B_80))).
% 224.49/223.19  all A_97 C_40 B_80 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_97),C_40)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_80),C_40)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_97),B_80))).
% 224.49/223.19  all A_97 C_40 B_80 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_97),C_40)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_80),C_40)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_97),B_80))).
% 224.49/223.19  all A_97 C_40 B_80 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_97),C_40)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_80),C_40)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_97),B_80))).
% 224.49/223.19  all A_97 C_40 B_80 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_97),C_40)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_80),C_40)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_97),B_80))).
% 224.49/223.19  all A_97 C_40 B_80 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_97),C_40)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_80),C_40)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_97),B_80))).
% 224.49/223.19  all C_39 D_7 A_96 B_79 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_96),B_79))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_39),D_7))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_96),C_39)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_79),D_7))))).
% 224.49/223.19  all C_39 D_7 A_96 B_79 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_96),B_79))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_39),D_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_96),C_39)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_79),D_7))))).
% 224.49/223.19  all C_39 D_7 A_96 B_79 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_96),B_79))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_39),D_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_96),C_39)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_79),D_7))))).
% 224.49/223.19  all C_39 D_7 A_96 B_79 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_96),B_79))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_39),D_7))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_96),C_39)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_79),D_7))))).
% 224.49/223.19  all C_39 D_7 A_96 B_79 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_96),B_79))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_39),D_7))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_96),C_39)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_79),D_7))))).
% 224.49/223.19  all C_39 D_7 A_96 B_79 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_96),B_79))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_39),D_7))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_96),C_39)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_79),D_7))))).
% 224.49/223.19  all C_38 A_95 B_78 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_95),B_78))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_38),A_95)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_38),B_78)))).
% 224.49/223.19  all C_38 A_95 B_78 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_95),B_78))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_38),A_95)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_38),B_78)))).
% 224.49/223.19  all C_38 A_95 B_78 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_95),B_78))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_38),A_95)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_38),B_78)))).
% 224.49/223.19  all C_38 A_95 B_78 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_95),B_78))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_38),A_95)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_38),B_78)))).
% 224.49/223.19  all C_38 A_95 B_78 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_95),B_78))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_38),A_95)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_38),B_78)))).
% 224.49/223.19  all C_38 A_95 B_78 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_95),B_78))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_38),A_95)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_38),B_78)))).
% 224.49/223.19  all C_37 A_94 B_77 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_94),B_77))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_94),C_37)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_77),C_37)))).
% 224.49/223.19  all C_37 A_94 B_77 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_94),B_77))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_94),C_37)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_77),C_37)))).
% 224.49/223.19  all C_37 A_94 B_77 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_94),B_77))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_94),C_37)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_77),C_37)))).
% 224.49/223.19  all C_37 A_94 B_77 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_94),B_77))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_94),C_37)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_77),C_37)))).
% 224.49/223.19  all C_37 A_94 B_77 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_94),B_77))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_94),C_37)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_77),C_37)))).
% 224.49/223.19  all C_37 A_94 B_77 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_94),B_77))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_94),C_37)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_77),C_37)))).
% 224.49/223.19  all C A B (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),A)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C),B)))<->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),A)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),A)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A),B))).
% 224.49/223.19  all C A B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),A)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A),C)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B),C)))<->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B),C)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B),C)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B),C)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B),C)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A),B))).
% 224.49/223.19  all A C B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B),C)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B))).
% 224.49/223.19  all A_93 (is_int(A_93)->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_93),zero_zero_int)=A_93).
% 224.49/223.19  all A_93 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_93),zero_zero_real)=A_93).
% 224.49/223.19  all A_93 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_93),zero_zero_complex)=A_93).
% 224.49/223.19  all A_93 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_93),zero_zero_rat)=A_93).
% 224.49/223.19  all A_92 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_92),A_92)=zero_zero_int).
% 224.49/223.19  all A_92 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_92),A_92)=zero_zero_real).
% 224.49/223.19  all A_92 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_92),A_92)=zero_zero_complex).
% 224.49/223.19  all A_92 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_92),A_92)=zero_zero_rat).
% 224.49/223.19  all A B (is_int(A)&is_int(B)-> (A=B<->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)=zero_zero_int)).
% 224.49/223.19  all A B (A=B<->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)=zero_zero_real).
% 224.49/223.19  all A B (A=B<->hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)=zero_zero_complex).
% 224.49/223.19  all A B (A=B<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)=zero_zero_rat).
% 224.49/223.19  all A B (is_int(A)&is_int(B)-> (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)=zero_zero_int<->A=B)).
% 224.49/223.19  all A B (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)=zero_zero_real<->A=B).
% 224.49/223.19  all A B (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A),B)=zero_zero_complex<->A=B).
% 224.49/223.19  all A B (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)=zero_zero_rat<->A=B).
% 224.49/223.19  all A B C D (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)-> (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)))).
% 224.49/223.19  all A B C D (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)-> (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)))).
% 224.49/223.19  all A B C D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A),B))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),D)))).
% 224.49/223.19  all A B C D (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D)))).
% 224.49/223.19  all A B C D (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A),B)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D)))).
% 224.49/223.19  all A B C D (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D)-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),D)))).
% 224.49/223.19  all A_91 (is_int(A_91)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_91),one_one_int)=A_91).
% 224.49/223.19  all A_91 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_91),one_one_nat)=A_91).
% 224.49/223.19  all A_91 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_91),one_one_real)=A_91).
% 224.49/223.19  all A_91 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_91),one_on1645066479umeral)=A_91).
% 224.49/223.19  all A_91 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_91),one_one_complex)=A_91).
% 224.49/223.19  all A_91 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_91),one_on1684967323de_int)=A_91).
% 224.49/223.19  all A_91 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_91),one_one_rat)=A_91).
% 224.49/223.19  all A_90 (is_int(A_90)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_90),one_one_int)=A_90).
% 224.49/223.19  all A_90 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_90),one_one_nat)=A_90).
% 224.49/223.19  all A_90 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_90),one_one_real)=A_90).
% 224.49/223.19  all A_90 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_90),one_on1645066479umeral)=A_90).
% 224.49/223.19  all A_90 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_90),one_one_complex)=A_90).
% 224.49/223.19  all A_90 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_90),one_on1684967323de_int)=A_90).
% 224.49/223.19  all A_90 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_90),one_one_rat)=A_90).
% 224.49/223.19  all A_89 (is_int(A_89)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_89)=A_89).
% 224.49/223.19  all A_89 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_89)=A_89).
% 224.49/223.19  all A_89 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_89)=A_89).
% 224.49/223.19  all A_89 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_89)=A_89).
% 224.49/223.19  all A_89 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_89)=A_89).
% 224.49/223.19  all A_89 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_89)=A_89).
% 224.49/223.19  all A_89 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_89)=A_89).
% 224.49/223.19  all A_88 (is_int(A_88)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_88)=A_88).
% 224.49/223.19  all A_88 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_88)=A_88).
% 224.49/223.19  all A_88 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_88)=A_88).
% 224.49/223.19  all A_88 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_88)=A_88).
% 224.49/223.19  all A_88 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_88)=A_88).
% 224.49/223.19  all A_88 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_88)=A_88).
% 224.49/223.19  all A_88 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_88)=A_88).
% 224.49/223.19  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->A_3!=hAPP_int_int(inv(P_3),A_3)))).
% 224.49/223.19  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->hAPP_int_int(inv(P_3),A_3)!=one_one_int))).
% 224.49/223.19  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->hAPP_int_int(inv(P_3),A_3)!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))).
% 224.49/223.19  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(inv(P_3),A_3)))))).
% 224.49/223.19  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(inv(P_3),A_3)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))))).
% 224.49/223.19  all A_87 B_76 (is_int(A_87)->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_87),B_76)),B_76)=A_87).
% 224.49/223.19  all A_87 B_76 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_87),B_76)),B_76)=A_87).
% 224.49/223.19  all A_87 B_76 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_87),B_76)),B_76)=A_87).
% 224.49/223.19  all A_87 B_76 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_87),B_76)),B_76)=A_87).
% 224.49/223.19  all A_86 B_75 (is_int(A_86)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_86),B_75)),B_75)=A_86).
% 224.49/223.19  all A_86 B_75 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_86),B_75)),B_75)=A_86).
% 224.49/223.19  all A_86 B_75 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_86),B_75)),B_75)=A_86).
% 224.49/223.19  all A_86 B_75 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_86),B_75)),B_75)=A_86).
% 224.49/223.19  all X_1 Y_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),Y_1),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(multInv(P_3),X_1)),hAPP_int_int(multInv(P_3),Y_1)),P_3)))).
% 224.49/223.19  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))->hAPP_int_int(inv(P_3),A_3)!=zero_zero_int))).
% 224.49/223.19  all A_3 J_2 K_2 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),K_2),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),J_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),K_2))),P_3)))).
% 224.49/223.19  all Y_1 X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Y_1),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(multInv(P_3),X_1)),hAPP_int_int(multInv(P_3),Y_1)),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),Y_1),P_3))))))).
% 224.49/223.19  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(multInv(P_3),hAPP_int_int(multInv(P_3),X_1))),X_1),P_3))))).
% 224.49/223.19  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(multInv(P_3),X_1)),zero_zero_int),P_3))))).
% 224.49/223.19  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(inv(P_3),A_3))),one_one_int),P_3))))).
% 224.49/223.19  all B_74 A_85 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_85),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_74),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_85),B_74)),zero_z126310315umeral)))).
% 224.49/223.19  all B_74 A_85 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_85),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_74),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_85),B_74)),zero_zero_int)))).
% 224.49/223.19  all B_74 A_85 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_85),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_74),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_85),B_74)),zero_zero_nat)))).
% 224.49/223.19  all B_74 A_85 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_85),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_74),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_85),B_74)),zero_zero_real)))).
% 224.49/223.19  all B_74 A_85 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_85),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_74),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_85),B_74)),zero_z891286103de_int)))).
% 224.49/223.19  all B_74 A_85 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_85),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_74),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_85),B_74)),zero_zero_rat)))).
% 224.49/223.19  all B_73 A_84 C_36 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_36))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_73),A_84))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_73),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_84),C_36))))).
% 224.49/223.19  all B_73 A_84 C_36 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_36))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_73),A_84))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_73),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_84),C_36))))).
% 224.49/223.19  all B_73 A_84 C_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_36))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_73),A_84))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_73),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_84),C_36))))).
% 224.49/223.19  all B_73 A_84 C_36 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_36))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_73),A_84))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_73),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_84),C_36))))).
% 224.49/223.19  all B_73 A_84 C_36 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_36))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_73),A_84))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_73),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_84),C_36))))).
% 224.49/223.19  all B_73 A_84 C_36 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_36))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_73),A_84))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_73),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_84),C_36))))).
% 224.49/223.19  all B_72 C_35 A_83 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_83))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_72),C_35))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_72),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_83),C_35))))).
% 224.49/223.19  all B_72 C_35 A_83 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_83))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_72),C_35))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_72),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_83),C_35))))).
% 224.49/223.19  all B_72 C_35 A_83 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_83))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_72),C_35))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_72),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_83),C_35))))).
% 224.49/223.19  all B_72 C_35 A_83 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_83))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_72),C_35))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_72),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_83),C_35))))).
% 224.49/223.19  all B_72 C_35 A_83 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_83))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_72),C_35))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_72),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_83),C_35))))).
% 224.49/223.19  all B_72 C_35 A_83 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_83))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_72),C_35))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_72),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_83),C_35))))).
% 224.49/223.19  all Y_2 X_2 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),X_2))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_2))-> (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X_2),Y_2)=zero_z126310315umeral<->X_2=zero_z126310315umeral&Y_2=zero_z126310315umeral))).
% 224.49/223.19  all Y_2 X_2 (is_int(Y_2)&is_int(X_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),Y_2)=zero_zero_int<->X_2=zero_zero_int&Y_2=zero_zero_int)))).
% 224.49/223.19  all Y_2 X_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_2),Y_2)=zero_zero_nat<->X_2=zero_zero_nat&Y_2=zero_zero_nat))).
% 224.49/223.19  all Y_2 X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Y_2)=zero_zero_real<->X_2=zero_zero_real&Y_2=zero_zero_real))).
% 224.49/223.19  all Y_2 X_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),X_2))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_2))-> (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X_2),Y_2)=zero_z891286103de_int<->X_2=zero_z891286103de_int&Y_2=zero_z891286103de_int))).
% 224.49/223.19  all Y_2 X_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_2))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_2))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_2),Y_2)=zero_zero_rat<->X_2=zero_zero_rat&Y_2=zero_zero_rat))).
% 224.49/223.19  all B_71 A_82 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_82))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_71))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_82),B_71))))).
% 224.49/223.19  all B_71 A_82 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_82))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_71))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_82),B_71))))).
% 224.49/223.19  all B_71 A_82 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_82))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_71))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_82),B_71))))).
% 224.49/223.19  all B_71 A_82 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_82))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_71))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_82),B_71))))).
% 224.49/223.19  all B_71 A_82 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_82))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_71))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_82),B_71))))).
% 224.49/223.19  all B_71 A_82 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_82))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_71))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_82),B_71))))).
% 224.49/223.19  all A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_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))).
% 224.49/223.19  all A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_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))).
% 224.49/223.19  all A (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A),zero_zero_rat))).
% 224.49/223.19  all A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A))).
% 224.49/223.19  all A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A))).
% 224.49/223.19  all A (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A))).
% 224.49/223.19  all B_70 A_81 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_81),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_70),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_81),B_70)),zero_z126310315umeral)))).
% 224.49/223.19  all B_70 A_81 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_81),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_70),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_81),B_70)),zero_zero_int)))).
% 224.49/223.19  all B_70 A_81 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_81),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_70),zero_zero_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_81),B_70)),zero_zero_nat)))).
% 224.49/223.19  all B_70 A_81 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_81),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_70),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_81),B_70)),zero_zero_real)))).
% 224.49/223.19  all B_70 A_81 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_81),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_70),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_81),B_70)),zero_z891286103de_int)))).
% 224.49/223.19  all B_70 A_81 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_81),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_70),zero_zero_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_81),B_70)),zero_zero_rat)))).
% 224.49/223.19  all B_69 A_80 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_80))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_69))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_80),B_69))))).
% 224.49/223.19  all B_69 A_80 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_80))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_69))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_80),B_69))))).
% 224.49/223.19  all B_69 A_80 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_80))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_69))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_80),B_69))))).
% 224.49/223.19  all B_69 A_80 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_80))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_69))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_80),B_69))))).
% 224.49/223.19  all B_69 A_80 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_80))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_69))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_80),B_69))))).
% 224.49/223.19  all B_69 A_80 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_80))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_69))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_80),B_69))))).
% 224.49/223.19  all A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int))).
% 224.49/223.19  all A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),zero_zero_real))).
% 224.49/223.19  all A (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),zero_zero_rat))).
% 224.49/223.19  all A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),A)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A))).
% 224.49/223.19  all A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),A)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A))).
% 224.49/223.19  all A (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A),A)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A))).
% 224.49/223.19  all C_34 D_6 A_79 B_68 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_79),B_68))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_34),D_6))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_79),C_34)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_68),D_6))))).
% 224.49/223.19  all C_34 D_6 A_79 B_68 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_79),B_68))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_34),D_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_79),C_34)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_68),D_6))))).
% 224.49/223.19  all C_34 D_6 A_79 B_68 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_79),B_68))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_34),D_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_79),C_34)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_68),D_6))))).
% 224.49/223.19  all C_34 D_6 A_79 B_68 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_79),B_68))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_34),D_6))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_79),C_34)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_68),D_6))))).
% 224.49/223.19  all C_34 D_6 A_79 B_68 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_79),B_68))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_34),D_6))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_79),C_34)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_68),D_6))))).
% 224.49/223.19  all C_34 D_6 A_79 B_68 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_79),B_68))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_34),D_6))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_79),C_34)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_68),D_6))))).
% 224.49/223.19  all C_33 D_5 A_78 B_67 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_78),B_67))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_33),D_5))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_78),C_33)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_67),D_5))))).
% 224.49/223.19  all C_33 D_5 A_78 B_67 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_78),B_67))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_33),D_5))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_78),C_33)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_67),D_5))))).
% 224.49/223.20  all C_33 D_5 A_78 B_67 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_78),B_67))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_33),D_5))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_78),C_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_67),D_5))))).
% 224.49/223.20  all C_33 D_5 A_78 B_67 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_78),B_67))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_33),D_5))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_78),C_33)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_67),D_5))))).
% 224.49/223.20  all C_33 D_5 A_78 B_67 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_78),B_67))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_33),D_5))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_78),C_33)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_67),D_5))))).
% 224.49/223.20  all C_33 D_5 A_78 B_67 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_78),B_67))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_33),D_5))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_78),C_33)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_67),D_5))))).
% 224.49/223.20  all A 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,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),B)),zero_zero_int))).
% 224.49/223.20  all A B (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(hAPP_r1250527377l_real(minus_minus_real,A),B)),zero_zero_real))).
% 224.49/223.20  all A B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A),B))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)),zero_zero_rat))).
% 224.49/223.20  all A B (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(hAPP_int_fun_int_int(minus_minus_int,A),B)),zero_zero_int))).
% 224.49/223.20  all A B (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(hAPP_r1250527377l_real(minus_minus_real,A),B)),zero_zero_real))).
% 224.49/223.20  all A B (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A),B))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A),B)),zero_zero_rat))).
% 224.49/223.20  all K_2 A_3 J_2 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(multInv(P_3),J_2)),J_2)),K_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(multInv(P_3),J_2)),A_3)),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),J_2))),P_3)))))).
% 224.49/223.20  all J_2 A_3 K_2 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,J_2),K_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),K_2))),K_2)),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,J_2),K_2)),A_3),P_3)))))).
% 224.49/223.20  all A_3 J_2 K_2 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),K_2))),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),J_2))),P_3))))))).
% 224.49/223.20  all J_2 K_2 A_3 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),J_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(multInv(P_3),K_2))),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J_2),K_2),P_3)))))))).
% 224.49/223.20  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),hAPP_int_int(multInv(P_3),X_1))),hAPP_int_int(multInv(P_3),hAPP_int_int(multInv(P_3),X_1)))),X_1),P_3))))).
% 224.49/223.20  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(multInv(P_3),hAPP_int_int(multInv(P_3),X_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),hAPP_int_int(multInv(P_3),X_1))),hAPP_int_int(multInv(P_3),hAPP_int_int(multInv(P_3),X_1)))),P_3))))).
% 224.49/223.20  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(multInv(P_3),X_1)),X_1)),one_one_int),P_3))))).
% 224.49/223.20  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),hAPP_int_int(multInv(P_3),X_1))),one_one_int),P_3))))).
% 224.49/223.20  all N_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))->hAPP_int_int(zfact,N_1)=one_one_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),zero_zero_int))->hAPP_int_int(zfact,N_1)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int))))).
% 224.49/223.20  all B A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(A),P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(inv(P_5),B)),hAPP_i1948725293t_bool(wset(A),P_5))))))).
% 224.49/223.20  all B A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(inv(P_5),B)),hAPP_i1948725293t_bool(wset(A),P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(A),P_5))))))))).
% 224.49/223.20  all P_1 I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K_1))-> (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I_2),one_one_int)))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 224.49/223.20  all X_2 P_1 ((all A_2 (is_int(A_2)-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_2),one_one_int))))->hBOOL(hAPP_int_bool(P_1,A_2)))))->hBOOL(hAPP_int_bool(P_1,X_2))).
% 224.49/223.20  all P_1 I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_1),one_one_int)))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I_2),one_one_int)))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 224.49/223.20  all P_1 K_1 I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_1),one_one_int)))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_2),one_one_int)))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 224.49/223.20  all Ma K_1 F ((all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_1)),hAPP_nat_nat(F,N_2)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(F,Ma)),K_1)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),K_1))))).
% 224.49/223.20  all P_5 A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),hAPP_i1948725293t_bool(wset(A),P_5)))).
% 224.49/223.20  all B P_5 A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),one_one_int)),P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(A),P_5))))).
% 224.49/223.20  all B A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(A),P_5)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))))).
% 224.49/223.20  all B A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(A),P_5)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))))).
% 224.49/223.20  all B P_5 A (is_int(B)&is_int(A)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A),one_one_int)),P_5)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(A),P_5)))->B=A|B=hAPP_int_int(inv(P_5),A))))).
% 224.49/223.20  all B A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(wset(A),P_5))))))).
% 224.49/223.20  all P_5 (hBOOL(hAPP_int_bool(zprime,P_5))->hAPP_i1948725293t_bool(d22set,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),P_5)).
% 224.49/223.20  all N P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,N))-> (exists K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N))& (all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K))-> -hBOOL(hAPP_nat_bool(P_1,I_2))))&hBOOL(hAPP_nat_bool(P_1,K)))))).
% 224.49/223.20  all I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (exists K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))&hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),K)=J_2))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,Z),X))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,D),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),Sa)))<->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,D),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Sa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z),X))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,D),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),Sa)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,D),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z),X))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Sa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Sa))))).
% 224.49/223.20  all D Sa exists Z (is_int(Z)& (all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Sa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Sa))))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Sa)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,X),Z))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,D),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),Sa)))<->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,D),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Z))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Sa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X),Z))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,D),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),Sa)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,D),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X),Z))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Sa)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Sa))))).
% 224.49/223.20  all D Sa exists Z (is_int(Z)& (all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Z))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Sa)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Sa))))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Sa)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,Z),X))-> (-hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,D),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),Sa)))<-> -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,D),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),X))-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Sa)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z),X))-> (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,D),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),Sa)))<-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,D),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z),X))-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Sa)))<-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Sa))))).
% 224.49/223.20  all D Sa exists Z (is_int(Z)& (all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Sa)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Sa))))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z),X))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Sa)))<-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,X),Z))-> (-hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,D),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),Sa)))<-> -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,D),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Z))-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Sa)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X),Z))-> (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,D),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),Sa)))<-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,D),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X),Sa))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X),Z))-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Sa)))<-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Sa))))).
% 224.49/223.20  all D Sa exists Z (is_int(Z)& (all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Z))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Sa)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Sa))))))).
% 224.49/223.20  all D Sa exists Z all X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Sa)))<-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Sa))))).
% 224.49/223.20  all A B N (N!=zero_zero_nat-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),N)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B)))).
% 224.49/223.20  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(d22set,A)))).
% 224.49/223.20  all B A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(d22set,A)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))).
% 224.49/223.20  all B A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(d22set,A)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))).
% 224.49/223.20  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(d22set,A))))).
% 224.49/223.20  all A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_3))->A_3=zero_zero_nat).
% 224.49/223.20  all A (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A))<->A=zero_zero_nat).
% 224.49/223.20  all A (A!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),zero_zero_nat))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A))).
% 224.49/223.20  all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),zero_zero_nat)).
% 224.49/223.20  all A_3 (-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_3))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),zero_zero_nat)))).
% 224.49/223.20  all A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),one_one_nat))->A_3=one_one_nat).
% 224.49/223.20  all A (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))<->A=one_one_nat).
% 224.49/223.20  all A (A!=one_one_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),one_one_nat))).
% 224.49/223.20  all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_3)).
% 224.49/223.20  all A_3 (-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),one_one_nat))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_3)))).
% 224.49/223.20  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)))).
% 224.49/223.20  all A B N (N!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B)))).
% 224.49/223.20  all A_3 N_1 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),N_1)))-> (N_1!=zero_zero_nat->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_3),B_2)))).
% 224.49/223.20  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))|N_1=zero_zero_nat).
% 224.49/223.20  all N_1 M K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)->N_1=M)).
% 224.49/223.20  all X_20 Y_16 A_77 B_66 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_20),Y_16)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_77),B_66))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_20),A_77)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_16),B_66))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_20),A_77)),B_66))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_77),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_16),B_66)))).
% 224.49/223.20  all X_20 Y_16 A_77 B_66 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_20),Y_16)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_77),B_66))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_20),A_77)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_16),B_66))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_20),A_77)),B_66))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_77),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_16),B_66)))).
% 224.49/223.20  all P_5 (hAPP_i1948725293t_bool(sr,P_5)=collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),P_5)))).
% 224.49/223.20  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),zero_zero_int))->hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_3))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_2),one_one_int)),A_3))),one_one_int)).
% 224.49/223.20  all V_2 W ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)))),one_one_int))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),one_one_int)),hAPP_int_int(number_number_of_int,W)))),one_one_int))).
% 224.49/223.20  all X_1 Y_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(standardRes(M),X_1)),hAPP_int_int(standardRes(M),Y_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1)),M))).
% 224.49/223.20  all W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W))))->negDivAlg(one_one_int,hAPP_int_int(number_number_of_int,W))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,W))))->negDivAlg(one_one_int,hAPP_int_int(number_number_of_int,W))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,W)),negDivAlg(one_one_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,W)))))).
% 224.49/223.20  all M X_1 (hAPP_int_int(standardRes(M),X_1)=hAPP_int_int(div_mod_int(X_1),M)).
% 224.49/223.20  all X_2 P_5 (is_int(X_2)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sr,P_5)))->hAPP_int_int(standardRes(P_5),X_2)=X_2)).
% 224.49/223.20  all A_76 B_65 (hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(A_76),B_65)),B_65)=hAPP_int_int(div_mod_int(A_76),B_65)).
% 224.49/223.20  all A_76 B_65 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(A_76),B_65)),B_65)=hAPP_nat_nat(div_mod_nat(A_76),B_65)).
% 224.49/223.20  all A_76 B_65 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(div_mo1740067990umeral(A_76),B_65)),B_65)=hAPP_C498520661umeral(div_mo1740067990umeral(A_76),B_65)).
% 224.49/223.20  all A_76 B_65 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(div_mo231679042de_int(A_76),B_65)),B_65)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_76),B_65)).
% 224.49/223.20  all A_75 (hAPP_int_int(div_mod_int(A_75),A_75)=zero_zero_int).
% 224.49/223.20  all A_75 (hAPP_nat_nat(div_mod_nat(A_75),A_75)=zero_zero_nat).
% 224.49/223.20  all A_75 (hAPP_C498520661umeral(div_mo1740067990umeral(A_75),A_75)=zero_z126310315umeral).
% 224.49/223.20  all A_75 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_75),A_75)=zero_z891286103de_int).
% 224.49/223.20  all A_74 (is_int(A_74)->hAPP_int_int(div_mod_int(A_74),zero_zero_int)=A_74).
% 224.49/223.20  all A_74 (hAPP_nat_nat(div_mod_nat(A_74),zero_zero_nat)=A_74).
% 224.49/223.20  all A_74 (hAPP_C498520661umeral(div_mo1740067990umeral(A_74),zero_z126310315umeral)=A_74).
% 224.49/223.20  all A_74 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_74),zero_z891286103de_int)=A_74).
% 224.49/223.20  all A_73 (hAPP_int_int(div_mod_int(zero_zero_int),A_73)=zero_zero_int).
% 224.49/223.20  all A_73 (hAPP_nat_nat(div_mod_nat(zero_zero_nat),A_73)=zero_zero_nat).
% 224.49/223.20  all A_73 (hAPP_C498520661umeral(div_mo1740067990umeral(zero_z126310315umeral),A_73)=zero_z126310315umeral).
% 224.49/223.20  all A_73 (hAPP_Q1762011733de_int(div_mo231679042de_int(zero_z891286103de_int),A_73)=zero_z891286103de_int).
% 224.49/223.20  all A_72 B_64 C_32 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_72),B_64)),C_32)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_72),hAPP_int_int(div_mod_int(B_64),C_32))),C_32)).
% 224.49/223.20  all A_72 B_64 C_32 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_72),B_64)),C_32)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_72),hAPP_nat_nat(div_mod_nat(B_64),C_32))),C_32)).
% 224.49/223.20  all A_72 B_64 C_32 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_72),B_64)),C_32)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_72),hAPP_C498520661umeral(div_mo1740067990umeral(B_64),C_32))),C_32)).
% 224.49/223.20  all A_72 B_64 C_32 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_72),B_64)),C_32)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_72),hAPP_Q1762011733de_int(div_mo231679042de_int(B_64),C_32))),C_32)).
% 224.49/223.20  all A_71 B_63 C_31 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_71),B_63)),C_31)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_71),C_31)),B_63)),C_31)).
% 224.49/223.20  all A_71 B_63 C_31 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_71),B_63)),C_31)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_71),C_31)),B_63)),C_31)).
% 224.49/223.20  all A_71 B_63 C_31 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_71),B_63)),C_31)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_71),C_31)),B_63)),C_31)).
% 224.49/223.20  all A_71 B_63 C_31 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_71),B_63)),C_31)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_71),C_31)),B_63)),C_31)).
% 224.49/223.20  all A_70 B_62 C_30 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_70),B_62)),C_30)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_70),C_30)),hAPP_int_int(div_mod_int(B_62),C_30))),C_30)).
% 224.49/223.20  all A_70 B_62 C_30 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_70),B_62)),C_30)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_70),C_30)),hAPP_nat_nat(div_mod_nat(B_62),C_30))),C_30)).
% 224.49/223.20  all A_70 B_62 C_30 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_70),B_62)),C_30)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_70),C_30)),hAPP_C498520661umeral(div_mo1740067990umeral(B_62),C_30))),C_30)).
% 224.49/223.20  all A_70 B_62 C_30 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_70),B_62)),C_30)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_70),C_30)),hAPP_Q1762011733de_int(div_mo231679042de_int(B_62),C_30))),C_30)).
% 224.49/223.20  all C_29 A_69 B_61 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_29),A_69)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_29),B_61))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_29),hAPP_int_int(div_mod_int(A_69),B_61))).
% 224.49/223.20  all C_29 A_69 B_61 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_29),A_69)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_29),B_61))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_29),hAPP_nat_nat(div_mod_nat(A_69),B_61))).
% 224.49/223.20  all C_29 A_69 B_61 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_29),A_69)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_29),B_61))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_29),hAPP_C498520661umeral(div_mo1740067990umeral(A_69),B_61))).
% 224.49/223.20  all C_29 A_69 B_61 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_29),A_69)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_29),B_61))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_29),hAPP_Q1762011733de_int(div_mo231679042de_int(A_69),B_61))).
% 224.49/223.20  all A_68 C_28 B_60 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_68),C_28)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_60),C_28))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_68),B_60)),C_28)).
% 224.49/223.20  all A_68 C_28 B_60 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_68),C_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_60),C_28))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_68),B_60)),C_28)).
% 224.49/223.20  all A_68 C_28 B_60 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_68),C_28)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_60),C_28))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_68),B_60)),C_28)).
% 224.49/223.20  all A_68 C_28 B_60 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_68),C_28)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_60),C_28))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_68),B_60)),C_28)).
% 224.49/223.20  all A_67 C_27 B_59 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(div_mod_int(A_67),C_27)),B_59)),C_27)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_67),B_59)),C_27)).
% 224.49/223.20  all A_67 C_27 B_59 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(A_67),C_27)),B_59)),C_27)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_67),B_59)),C_27)).
% 224.49/223.20  all A_67 C_27 B_59 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_67),C_27)),B_59)),C_27)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_67),B_59)),C_27)).
% 224.49/223.20  all A_67 C_27 B_59 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_67),C_27)),B_59)),C_27)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_67),B_59)),C_27)).
% 224.49/223.20  all B_58 B_57 A_66 C_26 A_65 (hAPP_int_int(div_mod_int(A_66),C_26)=hAPP_int_int(div_mod_int(A_65),C_26)-> (hAPP_int_int(div_mod_int(B_58),C_26)=hAPP_int_int(div_mod_int(B_57),C_26)->hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_66),B_58)),C_26)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_65),B_57)),C_26))).
% 224.49/223.20  all B_58 B_57 A_66 C_26 A_65 (hAPP_nat_nat(div_mod_nat(A_66),C_26)=hAPP_nat_nat(div_mod_nat(A_65),C_26)-> (hAPP_nat_nat(div_mod_nat(B_58),C_26)=hAPP_nat_nat(div_mod_nat(B_57),C_26)->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_66),B_58)),C_26)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_65),B_57)),C_26))).
% 224.49/223.20  all B_58 B_57 A_66 C_26 A_65 (hAPP_C498520661umeral(div_mo1740067990umeral(A_66),C_26)=hAPP_C498520661umeral(div_mo1740067990umeral(A_65),C_26)-> (hAPP_C498520661umeral(div_mo1740067990umeral(B_58),C_26)=hAPP_C498520661umeral(div_mo1740067990umeral(B_57),C_26)->hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_66),B_58)),C_26)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_65),B_57)),C_26))).
% 224.49/223.20  all B_58 B_57 A_66 C_26 A_65 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_66),C_26)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_65),C_26)-> (hAPP_Q1762011733de_int(div_mo231679042de_int(B_58),C_26)=hAPP_Q1762011733de_int(div_mo231679042de_int(B_57),C_26)->hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_66),B_58)),C_26)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_65),B_57)),C_26))).
% 224.49/223.20  all A_64 B_56 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_64),B_56)),B_56)=hAPP_int_int(div_mod_int(A_64),B_56)).
% 224.49/223.20  all A_64 B_56 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_64),B_56)),B_56)=hAPP_nat_nat(div_mod_nat(A_64),B_56)).
% 224.49/223.20  all A_64 B_56 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_64),B_56)),B_56)=hAPP_C498520661umeral(div_mo1740067990umeral(A_64),B_56)).
% 224.49/223.20  all A_64 B_56 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_64),B_56)),B_56)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_64),B_56)).
% 224.49/223.20  all B_55 A_63 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_55),A_63)),B_55)=hAPP_int_int(div_mod_int(A_63),B_55)).
% 224.49/223.20  all B_55 A_63 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_55),A_63)),B_55)=hAPP_nat_nat(div_mod_nat(A_63),B_55)).
% 224.49/223.20  all B_55 A_63 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_55),A_63)),B_55)=hAPP_C498520661umeral(div_mo1740067990umeral(A_63),B_55)).
% 224.49/223.20  all B_55 A_63 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_55),A_63)),B_55)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_63),B_55)).
% 224.49/223.20  all A_62 B_54 C_25 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_62),B_54)),C_25)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_62),hAPP_int_int(div_mod_int(B_54),C_25))),C_25)).
% 224.49/223.20  all A_62 B_54 C_25 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_62),B_54)),C_25)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_62),hAPP_nat_nat(div_mod_nat(B_54),C_25))),C_25)).
% 224.49/223.20  all A_62 B_54 C_25 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_62),B_54)),C_25)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_62),hAPP_C498520661umeral(div_mo1740067990umeral(B_54),C_25))),C_25)).
% 224.49/223.20  all A_62 B_54 C_25 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_62),B_54)),C_25)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_62),hAPP_Q1762011733de_int(div_mo231679042de_int(B_54),C_25))),C_25)).
% 224.49/223.20  all A_61 B_53 C_24 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_61),B_53)),C_24)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_61),C_24)),B_53)),C_24)).
% 224.49/223.20  all A_61 B_53 C_24 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_61),B_53)),C_24)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_61),C_24)),B_53)),C_24)).
% 224.49/223.20  all A_61 B_53 C_24 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_61),B_53)),C_24)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_61),C_24)),B_53)),C_24)).
% 224.49/223.20  all A_61 B_53 C_24 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_61),B_53)),C_24)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_61),C_24)),B_53)),C_24)).
% 224.49/223.20  all A_60 B_52 C_23 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_60),B_52)),C_23)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_60),C_23)),hAPP_int_int(div_mod_int(B_52),C_23))),C_23)).
% 224.49/223.20  all A_60 B_52 C_23 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_60),B_52)),C_23)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_60),C_23)),hAPP_nat_nat(div_mod_nat(B_52),C_23))),C_23)).
% 224.49/223.20  all A_60 B_52 C_23 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_60),B_52)),C_23)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_60),C_23)),hAPP_C498520661umeral(div_mo1740067990umeral(B_52),C_23))),C_23)).
% 224.49/223.20  all A_60 B_52 C_23 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_60),B_52)),C_23)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_60),C_23)),hAPP_Q1762011733de_int(div_mo231679042de_int(B_52),C_23))),C_23)).
% 224.49/223.20  all A_59 B_51 C_22 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_59),hAPP_int_int(div_mod_int(B_51),C_22))),C_22)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_59),B_51)),C_22)).
% 224.49/223.20  all A_59 B_51 C_22 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_59),hAPP_nat_nat(div_mod_nat(B_51),C_22))),C_22)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_59),B_51)),C_22)).
% 224.49/223.20  all A_59 B_51 C_22 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_59),hAPP_C498520661umeral(div_mo1740067990umeral(B_51),C_22))),C_22)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_59),B_51)),C_22)).
% 224.49/223.20  all A_59 B_51 C_22 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_59),hAPP_Q1762011733de_int(div_mo231679042de_int(B_51),C_22))),C_22)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_59),B_51)),C_22)).
% 224.49/223.20  all A_58 C_21 B_50 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_58),C_21)),B_50)),C_21)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_58),B_50)),C_21)).
% 224.49/223.20  all A_58 C_21 B_50 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_58),C_21)),B_50)),C_21)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_58),B_50)),C_21)).
% 224.49/223.20  all A_58 C_21 B_50 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_58),C_21)),B_50)),C_21)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_58),B_50)),C_21)).
% 224.49/223.20  all A_58 C_21 B_50 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_58),C_21)),B_50)),C_21)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_58),B_50)),C_21)).
% 224.49/223.20  all B_49 B_48 A_57 C_20 A_56 (hAPP_int_int(div_mod_int(A_57),C_20)=hAPP_int_int(div_mod_int(A_56),C_20)-> (hAPP_int_int(div_mod_int(B_49),C_20)=hAPP_int_int(div_mod_int(B_48),C_20)->hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_57),B_49)),C_20)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_56),B_48)),C_20))).
% 224.49/223.20  all B_49 B_48 A_57 C_20 A_56 (hAPP_nat_nat(div_mod_nat(A_57),C_20)=hAPP_nat_nat(div_mod_nat(A_56),C_20)-> (hAPP_nat_nat(div_mod_nat(B_49),C_20)=hAPP_nat_nat(div_mod_nat(B_48),C_20)->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_57),B_49)),C_20)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_56),B_48)),C_20))).
% 224.49/223.20  all B_49 B_48 A_57 C_20 A_56 (hAPP_C498520661umeral(div_mo1740067990umeral(A_57),C_20)=hAPP_C498520661umeral(div_mo1740067990umeral(A_56),C_20)-> (hAPP_C498520661umeral(div_mo1740067990umeral(B_49),C_20)=hAPP_C498520661umeral(div_mo1740067990umeral(B_48),C_20)->hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_57),B_49)),C_20)=hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_56),B_48)),C_20))).
% 224.49/223.20  all B_49 B_48 A_57 C_20 A_56 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_57),C_20)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_56),C_20)-> (hAPP_Q1762011733de_int(div_mo231679042de_int(B_49),C_20)=hAPP_Q1762011733de_int(div_mo231679042de_int(B_48),C_20)->hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_57),B_49)),C_20)=hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_56),B_48)),C_20))).
% 224.49/223.20  all A_55 B_47 C_19 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_55),B_47)),C_19)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_55),hAPP_int_int(div_mod_int(B_47),C_19))),C_19)).
% 224.49/223.20  all A_54 B_46 C_18 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_54),B_46)),C_18)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_54),C_18)),B_46)),C_18)).
% 224.49/223.20  all A_53 B_45 C_17 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_53),B_45)),C_17)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_53),C_17)),hAPP_int_int(div_mod_int(B_45),C_17))),C_17)).
% 224.49/223.20  all B_44 B_43 A_52 C_16 A_51 (hAPP_int_int(div_mod_int(A_52),C_16)=hAPP_int_int(div_mod_int(A_51),C_16)-> (hAPP_int_int(div_mod_int(B_44),C_16)=hAPP_int_int(div_mod_int(B_43),C_16)->hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_52),B_44)),C_16)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_51),B_43)),C_16))).
% 224.49/223.20  all K_6 M_16 N_29 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_6),hAPP_C498520661umeral(div_mo1740067990umeral(M_16),N_29)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_6),N_29))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_6),M_16)))).
% 224.49/223.20  all K_6 M_16 N_29 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_6),hAPP_Q1762011733de_int(div_mo231679042de_int(M_16),N_29)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_6),N_29))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_6),M_16)))).
% 224.49/223.20  all K_6 M_16 N_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_6),hAPP_int_int(div_mod_int(M_16),N_29)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_6),N_29))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_6),M_16)))).
% 224.49/223.20  all K_6 M_16 N_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_6),hAPP_nat_nat(div_mod_nat(M_16),N_29)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_6),N_29))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_6),M_16)))).
% 224.49/223.20  all N_28 K_5 M_15 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_5),M_15))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_5),N_28))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_5),hAPP_C498520661umeral(div_mo1740067990umeral(M_15),N_28))))).
% 224.49/223.20  all N_28 K_5 M_15 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_5),M_15))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_5),N_28))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_5),hAPP_Q1762011733de_int(div_mo231679042de_int(M_15),N_28))))).
% 224.49/223.20  all N_28 K_5 M_15 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_5),M_15))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_5),N_28))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_5),hAPP_int_int(div_mod_int(M_15),N_28))))).
% 224.49/223.20  all N_28 K_5 M_15 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_5),M_15))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_5),N_28))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_5),hAPP_nat_nat(div_mod_nat(M_15),N_28))))).
% 224.49/223.20  all A_50 C_15 B_42 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,C_15),B_42))->hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(div_mo1740067990umeral(A_50),B_42)),C_15)=hAPP_C498520661umeral(div_mo1740067990umeral(A_50),C_15)).
% 224.49/223.20  all A_50 C_15 B_42 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,C_15),B_42))->hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(div_mo231679042de_int(A_50),B_42)),C_15)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_50),C_15)).
% 224.49/223.20  all A_50 C_15 B_42 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,C_15),B_42))->hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(A_50),B_42)),C_15)=hAPP_int_int(div_mod_int(A_50),C_15)).
% 224.49/223.20  all A_50 C_15 B_42 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_15),B_42))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(div_mod_nat(A_50),B_42)),C_15)=hAPP_nat_nat(div_mod_nat(A_50),C_15)).
% 224.49/223.20  all Ma K_1 N (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_1),N))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_1),hAPP_C498520661umeral(div_mo1740067990umeral(Ma),N)))<->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,K_1),Ma)))).
% 224.49/223.20  all Ma K_1 N (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_1),N))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_1),hAPP_Q1762011733de_int(div_mo231679042de_int(Ma),N)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,K_1),Ma)))).
% 224.49/223.20  all Ma K_1 N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(div_mod_int(Ma),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),Ma)))).
% 224.49/223.20  all Ma K_1 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(div_mod_nat(Ma),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),Ma)))).
% 224.49/223.20  all A_3 (hAPP_int_int(div_mod_int(A_3),A_3)=zero_zero_int).
% 224.49/223.20  all B_2 (hAPP_int_int(div_mod_int(zero_zero_int),B_2)=zero_zero_int).
% 224.49/223.20  all A_3 B_2 C_1 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)),C_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(div_mod_int(B_2),C_1))),C_1)).
% 224.49/223.20  all A_3 B_2 C_1 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(div_mod_int(B_2),C_1))),C_1)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)),C_1)).
% 224.49/223.20  all X_1 Y_1 M (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),hAPP_int_int(div_mod_int(Y_1),M))),M)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_1)),M)).
% 224.49/223.20  all X_1 M Y_1 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(X_1),M)),Y_1)),M)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_1)),M)).
% 224.49/223.20  all A B Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(div_mod_int(A),Ma)),hAPP_int_int(div_mod_int(B),Ma)),Ma))).
% 224.49/223.20  all X_1 M Y_1 (hAPP_int_int(div_mod_int(X_1),M)=hAPP_int_int(div_mod_int(Y_1),M)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),Y_1),M))).
% 224.49/223.20  all X_1 M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),hAPP_int_int(div_mod_int(X_1),M)),M)).
% 224.49/223.20  all K_2 M N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(div_mod_int(M),N_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M)))).
% 224.49/223.20  all N_1 F_3 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),hAPP_int_int(div_mod_int(M),N_1))))).
% 224.49/223.20  all X_1 M Y_1 (hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(div_mod_int(X_1),M)),Y_1)),M)=hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),Y_1)),M)).
% 224.49/223.20  all X_1 M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),hAPP_int_int(standardRes(M),X_1)),M)).
% 224.49/223.20  all A_49 B_41 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_49),B_41)),B_41)=zero_zero_int).
% 224.49/223.20  all A_49 B_41 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_49),B_41)),B_41)=zero_zero_nat).
% 224.49/223.20  all A_49 B_41 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_49),B_41)),B_41)=zero_z126310315umeral).
% 224.49/223.20  all A_49 B_41 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_49),B_41)),B_41)=zero_z891286103de_int).
% 224.49/223.20  all B_40 A_48 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_40),A_48)),B_40)=zero_zero_int).
% 224.49/223.20  all B_40 A_48 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_40),A_48)),B_40)=zero_zero_nat).
% 224.49/223.20  all B_40 A_48 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_40),A_48)),B_40)=zero_z126310315umeral).
% 224.49/223.20  all B_40 A_48 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_40),A_48)),B_40)=zero_z891286103de_int).
% 224.49/223.20  all A_47 (hAPP_int_int(div_mod_int(A_47),one_one_int)=zero_zero_int).
% 224.49/223.20  all A_47 (hAPP_nat_nat(div_mod_nat(A_47),one_one_nat)=zero_zero_nat).
% 224.49/223.20  all A_47 (hAPP_C498520661umeral(div_mo1740067990umeral(A_47),one_on1645066479umeral)=zero_z126310315umeral).
% 224.49/223.20  all A_47 (hAPP_Q1762011733de_int(div_mo231679042de_int(A_47),one_on1684967323de_int)=zero_z891286103de_int).
% 224.49/223.20  all A_46 B_39 C_14 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_46),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_39),C_14))),B_39)=hAPP_int_int(div_mod_int(A_46),B_39)).
% 224.49/223.20  all A_46 B_39 C_14 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_46),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_39),C_14))),B_39)=hAPP_nat_nat(div_mod_nat(A_46),B_39)).
% 224.49/223.20  all A_46 B_39 C_14 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_46),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_39),C_14))),B_39)=hAPP_C498520661umeral(div_mo1740067990umeral(A_46),B_39)).
% 224.49/223.20  all A_46 B_39 C_14 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_46),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_39),C_14))),B_39)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_46),B_39)).
% 224.49/223.20  all A_45 C_13 B_38 (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_45),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_13),B_38))),B_38)=hAPP_int_int(div_mod_int(A_45),B_38)).
% 224.49/223.20  all A_45 C_13 B_38 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_45),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_13),B_38))),B_38)=hAPP_nat_nat(div_mod_nat(A_45),B_38)).
% 224.49/223.20  all A_45 C_13 B_38 (hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_45),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_13),B_38))),B_38)=hAPP_C498520661umeral(div_mo1740067990umeral(A_45),B_38)).
% 224.49/223.20  all A_45 C_13 B_38 (hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_45),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_13),B_38))),B_38)=hAPP_Q1762011733de_int(div_mo231679042de_int(A_45),B_38)).
% 224.49/223.20  all A_44 B_37 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_44),B_37))->hAPP_C498520661umeral(div_mo1740067990umeral(B_37),A_44)=zero_z126310315umeral).
% 224.49/223.20  all A_44 B_37 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_44),B_37))->hAPP_Q1762011733de_int(div_mo231679042de_int(B_37),A_44)=zero_z891286103de_int).
% 224.49/223.20  all A_44 B_37 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_44),B_37))->hAPP_int_int(div_mod_int(B_37),A_44)=zero_zero_int).
% 224.49/223.20  all A_44 B_37 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_44),B_37))->hAPP_nat_nat(div_mod_nat(B_37),A_44)=zero_zero_nat).
% 224.49/223.20  all A B (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),B))<->hAPP_C498520661umeral(div_mo1740067990umeral(B),A)=zero_z126310315umeral).
% 224.49/223.20  all A B (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),B))<->hAPP_Q1762011733de_int(div_mo231679042de_int(B),A)=zero_z891286103de_int).
% 224.49/223.20  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))<->hAPP_int_int(div_mod_int(B),A)=zero_zero_int).
% 224.49/223.20  all A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))<->hAPP_nat_nat(div_mod_nat(B),A)=zero_zero_nat).
% 224.49/223.20  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(A_3),B_2)),B_2))).
% 224.49/223.20  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),hAPP_int_int(div_mod_int(A_3),B_2)))).
% 224.49/223.20  all K_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(div_mod_int(M),K_2)),M))).
% 224.49/223.20  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(div_mod_int(X_1),Y_1))))).
% 224.49/223.21  all Ma D (is_int(Ma)-> (hAPP_int_int(div_mod_int(Ma),D)=zero_zero_int<-> (exists Q_4 (is_int(Q_4)&Ma=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D),Q_4))))).
% 224.49/223.21  all X_2 N Y_2 (hAPP_int_int(div_mod_int(X_2),N)=hAPP_int_int(div_mod_int(Y_2),N)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),Y_2)))).
% 224.49/223.21  all X_2 Y_2 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_i769753017umeral(number1443263063umeral,X_2)),hAPP_i769753017umeral(number1443263063umeral,Y_2)))<->hAPP_C498520661umeral(div_mo1740067990umeral(hAPP_i769753017umeral(number1443263063umeral,Y_2)),hAPP_i769753017umeral(number1443263063umeral,X_2))=zero_z126310315umeral).
% 224.49/223.21  all X_2 Y_2 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_i1732201573de_int(number1226105091de_int,X_2)),hAPP_i1732201573de_int(number1226105091de_int,Y_2)))<->hAPP_Q1762011733de_int(div_mo231679042de_int(hAPP_i1732201573de_int(number1226105091de_int,Y_2)),hAPP_i1732201573de_int(number1226105091de_int,X_2))=zero_z891286103de_int).
% 224.49/223.21  all X_2 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,X_2)),hAPP_int_int(number_number_of_int,Y_2)))<->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,Y_2)),hAPP_int_int(number_number_of_int,X_2))=zero_zero_int).
% 224.49/223.21  all X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,X_2)),hAPP_int_nat(number_number_of_nat,Y_2)))<->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,Y_2)),hAPP_int_nat(number_number_of_nat,X_2))=zero_zero_nat).
% 224.49/223.21  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(standardRes(P_3),X_1)),P_3))).
% 224.49/223.21  all Ma X_2 (hAPP_int_int(standardRes(Ma),X_2)=zero_zero_int<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_2),zero_zero_int),Ma))).
% 224.49/223.21  all X_2 P_5 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_2),zero_zero_int),P_5))<->hAPP_int_int(standardRes(P_5),X_2)!=zero_zero_int).
% 224.49/223.21  all B_2 A_3 (is_int(A_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),A_3))->hAPP_int_int(div_mod_int(A_3),B_2)=A_3))).
% 224.49/223.21  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(div_mod_int(A_3),B_2)),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),hAPP_int_int(div_mod_int(A_3),B_2)))).
% 224.49/223.21  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(div_mod_int(A_3),B_2)),zero_zero_int))).
% 224.49/223.21  all B_2 A_3 (is_int(A_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),B_2))->hAPP_int_int(div_mod_int(A_3),B_2)=A_3))).
% 224.49/223.21  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(div_mod_int(A_3),B_2)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(div_mod_int(A_3),B_2)),B_2))).
% 224.49/223.21  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(div_mod_int(A_3),B_2)))).
% 224.49/223.21  all A B Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))<->hAPP_int_int(div_mod_int(A),Ma)=hAPP_int_int(div_mod_int(B),Ma))).
% 224.49/223.21  all A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),B_2))->hAPP_int_int(div_mod_int(hAPP_int_int(div_mod_int(A_3),B_2)),M)=hAPP_int_int(div_mod_int(A_3),M))).
% 224.49/223.21  all A_3 (hAPP_int_int(div_mod_int(A_3),hAPP_int_int(number_number_of_int,min))=zero_zero_int).
% 224.49/223.21  all X_2 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,X_2)),hAPP_int_int(number_number_of_int,Y_2)))<->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,Y_2)),hAPP_int_int(number_number_of_int,X_2))=zero_zero_int).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)),zero_zero_int))->hAPP_int_int(div_mod_int(A_3),B_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2))).
% 224.49/223.21  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(standardRes(P_3),X_1)))).
% 224.49/223.21  all X1_2 X2 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hAPP_int_int(standardRes(Ma),X1_2)=hAPP_int_int(standardRes(Ma),X2)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X1_2),X2),Ma)))).
% 224.49/223.21  all V_2 W (hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)))).
% 224.49/223.21  all P_1 N K_1 (is_int(N)&is_int(K_1)-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(N),K_1)))<-> (K_1=zero_zero_int->hBOOL(hAPP_int_bool(P_1,N)))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (all I_2 J_1 (is_int(I_2)&is_int(J_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,J_1))))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))-> (all I_2 J_1 (is_int(I_2)&is_int(J_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,J_1)))))))).
% 224.49/223.21  all Q_2 B_2 R_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(div_mod_int(Q_2),C_1))),R_3)))))).
% 224.49/223.21  all Q_2 B_2 R_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(div_mod_int(Q_2),C_1))),R_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),C_1)))))).
% 224.49/223.21  all Q_2 B_2 R_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(div_mod_int(Q_2),C_1))),R_3)))))).
% 224.49/223.21  all Q_2 B_2 R_3 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(div_mod_int(Q_2),C_1))),R_3)),zero_zero_int))))).
% 224.49/223.21  all A_13 B_10 Q_9 Y_1 (is_int(B_10)&is_int(Y_1)-> (A_13=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Q_9)),Y_1)-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_1),B_10)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),Y_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),zero_zero_int)))-> (B_10!=zero_zero_int->hAPP_int_int(div_mod_int(A_13),B_10)=Y_1)))).
% 224.49/223.21  all X_2 (hAPP_int_int(div_mod_int(X_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_int<->hAPP_int_int(div_mod_int(X_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_int).
% 224.49/223.21  all B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,min)),B_2)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_2),one_one_int)).
% 224.49/223.21  all B_36 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),B_36)=zero_zero_real).
% 224.49/223.21  all B_36 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),B_36)=zero_zero_complex).
% 224.49/223.21  all Y_15 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),Y_15)=zero_zero_real).
% 224.49/223.21  all Y_15 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),Y_15)=zero_zero_complex).
% 224.49/223.21  all A_43 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_43),zero_zero_real)=zero_zero_real).
% 224.49/223.21  all A_43 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_43),zero_zero_complex)=zero_zero_complex).
% 224.49/223.21  all X_19 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_19),zero_zero_real)=zero_zero_real).
% 224.49/223.21  all X_19 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_19),zero_zero_complex)=zero_zero_complex).
% 224.49/223.21  all A_42 B_35 B_34 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_42),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_35),B_34))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_42),B_35)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_42),B_34))).
% 224.49/223.21  all A_42 B_35 B_34 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_42),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_35),B_34))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_42),B_35)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_42),B_34))).
% 224.49/223.21  all Xa_4 X_18 Y_14 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_18),Y_14))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),X_18)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_4),Y_14))).
% 224.49/223.21  all Xa_4 X_18 Y_14 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_18),Y_14))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),X_18)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_4),Y_14))).
% 224.49/223.21  all A_41 A_40 B_33 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_41),A_40)),B_33)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_41),B_33)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_40),B_33))).
% 224.49/223.21  all A_41 A_40 B_33 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_41),A_40)),B_33)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_41),B_33)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_40),B_33))).
% 224.49/223.21  all X_17 Y_13 Ya_2 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_17),Y_13)),Ya_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_17),Ya_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_13),Ya_2))).
% 224.49/223.21  all X_17 Y_13 Ya_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_17),Y_13)),Ya_2)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_17),Ya_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Y_13),Ya_2))).
% 224.49/223.21  all A_39 B_32 B_31 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_39),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_32),B_31))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_39),B_32)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_39),B_31))).
% 224.49/223.21  all A_39 B_32 B_31 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_39),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_32),B_31))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_39),B_32)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_39),B_31))).
% 224.49/223.21  all Xa_3 X_16 Y_12 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_3),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_16),Y_12))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_3),X_16)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa_3),Y_12))).
% 224.49/223.21  all Xa_3 X_16 Y_12 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_3),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_16),Y_12))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_3),X_16)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa_3),Y_12))).
% 224.49/223.21  all A_38 A_37 B_30 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_38),A_37)),B_30)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_38),B_30)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_37),B_30))).
% 224.49/223.21  all A_38 A_37 B_30 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_38),A_37)),B_30)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_38),B_30)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_37),B_30))).
% 224.49/223.21  all X_15 Y_11 Ya_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_15),Y_11)),Ya_1)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_15),Ya_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_11),Ya_1))).
% 224.49/223.21  all X_15 Y_11 Ya_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_15),Y_11)),Ya_1)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_15),Ya_1)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Y_11),Ya_1))).
% 224.49/223.21  all B_2 (negDivAlg(hAPP_int_int(number_number_of_int,min),B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_2),one_one_int))).
% 224.49/223.21  all A_3 B_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),zero_zero_int))->negDivAlg(A_3,B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),zero_zero_int)))->negDivAlg(A_3,B_2)=hAPP_P1975530577nt_int(adjust(B_2),negDivAlg(A_3,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_2))))).
% 224.49/223.21  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)))->negDivAlg(A_3,B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)))->negDivAlg(A_3,B_2)=hAPP_P1975530577nt_int(adjust(B_2),negDivAlg(A_3,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_2))))).
% 224.49/223.21  all W V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))))->negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2))))->negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,V_2)),negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,V_2)))))).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))->hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_3))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(div_mod_int(B_2),A_3)))).
% 224.49/223.21  all X_2 A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),P_5))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sRStar,P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(P_5),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),hAPP_int_int(multInv(P_5),X_2)))),hAPP_i1948725293t_bool(sRStar,P_5))))))).
% 224.49/223.21  all A_3 B_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),zero_zero_int))->posDivAlg(A_3,B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A_3))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),B_2))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),zero_zero_int)))->posDivAlg(A_3,B_2)=hAPP_P1975530577nt_int(adjust(B_2),posDivAlg(A_3,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_2))))).
% 224.49/223.21  all W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(number_number_of_int,W)))->posDivAlg(one_one_int,hAPP_int_int(number_number_of_int,W))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(number_number_of_int,W)))->posDivAlg(one_one_int,hAPP_int_int(number_number_of_int,W))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,W)),posDivAlg(one_one_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,W)))))).
% 224.49/223.21  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),B_2))->posDivAlg(A_3,B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A_3))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),B_2))->posDivAlg(A_3,B_2)=hAPP_P1975530577nt_int(adjust(B_2),posDivAlg(A_3,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_2))))).
% 224.49/223.21  all W V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2)))->posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_2)))->posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_2))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,V_2)),posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(number_number_of_int,V_2)))))).
% 224.49/223.21  all M_14 D_4 (is_int(M_14)-> (hAPP_int_int(div_mod_int(M_14),D_4)=zero_zero_int-> (exists Q_4 (is_int(Q_4)&M_14=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_4),Q_4))))).
% 224.49/223.21  all X_2 P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sRStar,P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(P_5),hAPP_int_int(multInv(P_5),X_2))),hAPP_i1948725293t_bool(sRStar,P_5)))))).
% 224.49/223.21  all Y_2 X_2 P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sRStar,P_5)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),hAPP_i1948725293t_bool(sRStar,P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(P_5),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Y_2))),hAPP_i1948725293t_bool(sRStar,P_5))))))).
% 224.49/223.21  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(div_mod_nat(M),N_1)=M).
% 224.49/223.21  all M N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(div_mod_nat(M),N_1)),M)).
% 224.49/223.21  all K_2 M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(div_mod_nat(M),N_1))=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 224.49/223.21  all M N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(M),N_1)),K_2)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),K_2))).
% 224.49/223.21  all X_2 P_5 (is_int(X_2)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sRStar,P_5)))->hAPP_int_int(standardRes(P_5),X_2)=X_2)).
% 224.49/223.21  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(div_mod_nat(M),N_1)),N_1))).
% 224.49/223.21  all Ma D (hAPP_nat_nat(div_mod_nat(Ma),D)=zero_zero_nat<-> (exists Q_4 (Ma=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D),Q_4)))).
% 224.49/223.21  all M N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(div_mod_nat(M),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1)).
% 224.49/223.21  all M N_1 ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(div_mod_nat(M),N_1)=M)& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(div_mod_nat(M),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1))).
% 224.49/223.21  all K_2 N_1 M (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)),M)),N_1)=hAPP_nat_nat(div_mod_nat(M),N_1)).
% 224.49/223.21  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(div_mod_nat(M),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1)).
% 224.49/223.21  all X_2 P_5 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sRStar,P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sr,P_5)))).
% 224.49/223.21  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(div_mod_nat(M),N_1)),N_1))).
% 224.49/223.21  all B_2 (posDivAlg(zero_zero_int,B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int)).
% 224.49/223.21  all P_5 (hAPP_i1948725293t_bool(sRStar,P_5)=collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),P_5)))).
% 224.49/223.21  all X_2 P_5 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sRStar,P_5)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_2),zero_zero_int),P_5))).
% 224.49/223.21  all Q_2 R_3 B_2 C_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_3),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),hAPP_nat_nat(div_mod_nat(Q_2),C_1))),R_3)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),C_1))))).
% 224.49/223.21  all P_1 N K_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(N),K_1)))<-> (K_1=zero_zero_nat->hBOOL(hAPP_nat_bool(P_1,N)))& (K_1!=zero_zero_nat-> (all I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))-> (N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_2)),J_1)->hBOOL(hAPP_nat_bool(P_1,J_1))))))).
% 224.49/223.21  all Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(div_mod_nat(Ma),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<->hAPP_nat_nat(div_mod_nat(Ma),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_nat).
% 224.49/223.21  all X_2 P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),hAPP_i1948725293t_bool(sRStar,P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(P_5),X_2)),hAPP_i1948725293t_bool(sRStar,P_5)))))).
% 224.49/223.21  all X_2 P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(P_5),X_2)),hAPP_i1948725293t_bool(sRStar,P_5)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_2),zero_zero_int),P_5)))).
% 224.49/223.21  all M (hAPP_nat_nat(div_mod_nat(M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_nat|hAPP_nat_nat(div_mod_nat(M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=one_one_nat|hAPP_nat_nat(div_mod_nat(M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))|hAPP_nat_nat(div_mod_nat(M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))).
% 224.49/223.21  all X_1 N_1 Y_1 (hAPP_nat_nat(div_mod_nat(X_1),N_1)=hAPP_nat_nat(div_mod_nat(Y_1),N_1)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_1),X_1))-> (exists Q_4 (X_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),Q_4)))))).
% 224.49/223.21  all A B (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A),B)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))->negDivAlg(A,B)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)))->negDivAlg(A,B)=hAPP_P1975530577nt_int(adjust(B),negDivAlg(A,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B))))).
% 224.49/223.21  all A B (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A),B)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int))->posDivAlg(A,B)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),zero_zero_int)))->posDivAlg(A,B)=hAPP_P1975530577nt_int(adjust(B),posDivAlg(A,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B))))).
% 224.49/223.21  all X_2 K_1 (X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_1)),one_one_int)->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),zero_zero_int))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_3))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_2),one_one_int)),A_3)).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),A_3))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_2),A_3)).
% 224.49/223.21  all X_2 N Y_2 (hAPP_nat_nat(div_mod_nat(X_2),N)=hAPP_nat_nat(div_mod_nat(Y_2),N)<-> (exists Q1 Q2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q2))))).
% 224.49/223.21  all B_2 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,zero_zero_int),B_2)=zero_zero_int).
% 224.49/223.21  all A_36 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_36),zero_zero_int)=zero_zero_int).
% 224.49/223.21  all A_36 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_36),zero_zero_nat)=zero_zero_nat).
% 224.49/223.21  all A_36 (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_36),zero_z126310315umeral)=zero_z126310315umeral).
% 224.49/223.21  all A_36 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_36),zero_z891286103de_int)=zero_z891286103de_int).
% 224.49/223.21  all A_35 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,zero_zero_int),A_35)=zero_zero_int).
% 224.49/223.21  all A_35 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,zero_zero_nat),A_35)=zero_zero_nat).
% 224.49/223.21  all A_35 (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,zero_z126310315umeral),A_35)=zero_z126310315umeral).
% 224.49/223.21  all A_35 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,zero_z891286103de_int),A_35)=zero_z891286103de_int).
% 224.49/223.21  all A_34 (is_int(A_34)->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_34),one_one_int)=A_34).
% 224.49/223.21  all A_34 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_34),one_one_nat)=A_34).
% 224.49/223.21  all A_34 (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_34),one_on1645066479umeral)=A_34).
% 224.49/223.21  all A_34 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_34),one_on1684967323de_int)=A_34).
% 224.49/223.21  all C A B (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),B))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),C))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,B),A)),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,C),A)))<->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,B),C))))).
% 224.49/223.21  all C A B (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),B))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),C))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,B),A)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,C),A)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,B),C))))).
% 224.49/223.21  all C A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),C))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B),A)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,C),A)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B),C))))).
% 224.49/223.21  all C A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),C))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B),A)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,C),A)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B),C))))).
% 224.49/223.21  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Y_2)),zOdd)))).
% 224.49/223.21  all X_2 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Y_2)),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))).
% 224.49/223.21  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),B)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)))).
% 224.49/223.21  all A B (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(hAPP_int_fun_int_int(div_div_int,A),B)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)))).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),zero_zero_int)))).
% 224.49/223.21  all A_3 (is_int(A_3)-> (A_3!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),A_3)=one_one_int)).
% 224.49/223.21  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),Y_1))))).
% 224.49/223.21  all V_2 W (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))).
% 224.49/223.21  all A_3 (is_int(A_3)->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),zero_zero_int)=zero_zero_int&hAPP_int_int(div_mod_int(A_3),zero_zero_int)=A_3).
% 224.49/223.21  all A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(div_mod_int(A_3),B_2)),B_2)=zero_zero_int).
% 224.49/223.21  all N_1 M (is_int(M)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),M))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M),N_1))=M)).
% 224.49/223.21  all A_3 B_2 C_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)),C_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),C_1)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_2),C_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_3),C_1)),hAPP_int_int(div_mod_int(B_2),C_1))),C_1))).
% 224.49/223.21  all A_33 B_29 C_12 (is_int(C_12)-> (C_12=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_12),A_33)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_12),B_29))=zero_zero_int)& (C_12!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_12),A_33)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_12),B_29))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_33),B_29))).
% 224.49/223.21  all A_33 B_29 C_12 ((C_12=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_12),A_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_12),B_29))=zero_zero_nat)& (C_12!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_12),A_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_12),B_29))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_33),B_29))).
% 224.49/223.21  all A_33 B_29 C_12 ((C_12=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_12),A_33)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_12),B_29))=zero_z126310315umeral)& (C_12!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_12),A_33)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_12),B_29))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_33),B_29))).
% 224.49/223.21  all A_33 B_29 C_12 ((C_12=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_12),A_33)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_12),B_29))=zero_z891286103de_int)& (C_12!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_12),A_33)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_12),B_29))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_33),B_29))).
% 224.49/223.21  all A_32 B_28 (is_int(A_32)&is_int(B_28)-> (B_28!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_32),B_28)),B_28)=A_32)).
% 224.49/223.21  all A_32 B_28 (B_28!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_32),B_28)),B_28)=A_32).
% 224.49/223.21  all A_32 B_28 (B_28!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_32),B_28)),B_28)=A_32).
% 224.49/223.21  all A_32 B_28 (B_28!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_32),B_28)),B_28)=A_32).
% 224.49/223.21  all A_31 B_27 (is_int(A_31)&is_int(B_27)-> (B_27!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_27),A_31)),B_27)=A_31)).
% 224.49/223.21  all A_31 B_27 (B_27!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_27),A_31)),B_27)=A_31).
% 224.49/223.21  all A_31 B_27 (B_27!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_27),A_31)),B_27)=A_31).
% 224.49/223.21  all A_31 B_27 (B_27!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_27),A_31)),B_27)=A_31).
% 224.49/223.21  all A_30 B_26 C_11 (is_int(C_11)-> (C_11!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_30),C_11)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_26),C_11))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_30),B_26))).
% 224.49/223.21  all A_30 B_26 C_11 (C_11!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_30),C_11)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_26),C_11))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_30),B_26)).
% 224.49/223.21  all A_30 B_26 C_11 (C_11!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_30),C_11)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_26),C_11))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_30),B_26)).
% 224.49/223.21  all A_30 B_26 C_11 (C_11!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_30),C_11)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_26),C_11))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_30),B_26)).
% 224.49/223.21  all A_29 B_25 C_10 (is_int(C_10)-> (C_10!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_10),A_29)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_10),B_25))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_29),B_25))).
% 224.49/223.21  all A_29 B_25 C_10 (C_10!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_10),A_29)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_10),B_25))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_29),B_25)).
% 224.49/223.21  all A_29 B_25 C_10 (C_10!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_10),A_29)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_10),B_25))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_29),B_25)).
% 224.49/223.21  all A_29 B_25 C_10 (C_10!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_10),A_29)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_10),B_25))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_29),B_25)).
% 224.49/223.21  all A_28 (is_int(A_28)-> (A_28!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_28),A_28)=one_one_int)).
% 224.49/223.21  all A_28 (A_28!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_28),A_28)=one_one_nat).
% 224.49/223.21  all A_28 (A_28!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_28),A_28)=one_on1645066479umeral).
% 224.49/223.21  all A_28 (A_28!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_28),A_28)=one_on1684967323de_int).
% 224.49/223.21  all A_27 B_24 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_27),B_24))->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_27),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,B_24),A_27))=B_24).
% 224.49/223.21  all A_27 B_24 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_27),B_24))->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_27),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,B_24),A_27))=B_24).
% 224.49/223.21  all A_27 B_24 (is_int(B_24)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_27),B_24))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_27),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_24),A_27))=B_24)).
% 224.49/223.21  all A_27 B_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_27),B_24))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_27),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_24),A_27))=B_24).
% 224.49/223.21  all A_26 C_9 B_23 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,C_9),B_23))->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_26),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,B_23),C_9))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_26),B_23)),C_9)).
% 224.49/223.21  all A_26 C_9 B_23 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,C_9),B_23))->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_26),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,B_23),C_9))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_26),B_23)),C_9)).
% 224.49/223.21  all A_26 C_9 B_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,C_9),B_23))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_26),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_23),C_9))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_26),B_23)),C_9)).
% 224.49/223.21  all A_26 C_9 B_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_9),B_23))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_26),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_23),C_9))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_26),B_23)),C_9)).
% 224.49/223.21  all A_25 B_22 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_25),B_22))->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,B_22),A_25)),A_25)=B_22).
% 224.49/223.21  all A_25 B_22 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_25),B_22))->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,B_22),A_25)),A_25)=B_22).
% 224.49/223.21  all A_25 B_22 (is_int(B_22)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_25),B_22))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_22),A_25)),A_25)=B_22)).
% 224.49/223.21  all A_25 B_22 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_25),B_22))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_22),A_25)),A_25)=B_22).
% 224.49/223.21  all C_8 A_24 B_21 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_24),B_21))->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,B_21),A_24)),C_8)=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_21),C_8)),A_24)).
% 224.49/223.21  all C_8 A_24 B_21 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_24),B_21))->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,B_21),A_24)),C_8)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_21),C_8)),A_24)).
% 224.49/223.21  all C_8 A_24 B_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_24),B_21))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_21),A_24)),C_8)=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_21),C_8)),A_24)).
% 224.49/223.21  all C_8 A_24 B_21 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_24),B_21))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_21),A_24)),C_8)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_21),C_8)),A_24)).
% 224.49/223.21  all Z_7 W_2 Y_10 X_14 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,Y_10),X_14))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,Z_7),W_2))->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,X_14),Y_10)),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,W_2),Z_7))=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,X_14),W_2)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,Y_10),Z_7)))).
% 224.49/223.21  all Z_7 W_2 Y_10 X_14 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,Y_10),X_14))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,Z_7),W_2))->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,X_14),Y_10)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,W_2),Z_7))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_14),W_2)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Y_10),Z_7)))).
% 224.49/223.21  all Z_7 W_2 Y_10 X_14 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Y_10),X_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_7),W_2))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_14),Y_10)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,W_2),Z_7))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_14),W_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_10),Z_7)))).
% 224.49/223.21  all Z_7 W_2 Y_10 X_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_10),X_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_7),W_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_14),Y_10)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,W_2),Z_7))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_14),W_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Y_10),Z_7)))).
% 224.49/223.21  all Y_9 Z_6 X_13 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,Z_6),X_13))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,Z_6),Y_9))->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X_13),Y_9)),Z_6)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,X_13),Z_6)),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,Y_9),Z_6)))).
% 224.49/223.21  all Y_9 Z_6 X_13 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,Z_6),X_13))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,Z_6),Y_9))->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X_13),Y_9)),Z_6)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,X_13),Z_6)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,Y_9),Z_6)))).
% 224.49/223.21  all Y_9 Z_6 X_13 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_6),X_13))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_6),Y_9))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_13),Y_9)),Z_6)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_13),Z_6)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Y_9),Z_6)))).
% 224.49/223.21  all Y_9 Z_6 X_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_6),X_13))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_6),Y_9))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_13),Y_9)),Z_6)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_13),Z_6)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,Y_9),Z_6)))).
% 224.49/223.21  all A_23 B_20 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(div_mod_int(A_23),B_20)),B_20)=zero_zero_int).
% 224.49/223.21  all A_23 B_20 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(div_mod_nat(A_23),B_20)),B_20)=zero_zero_nat).
% 224.49/223.21  all A_23 B_20 (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_23),B_20)),B_20)=zero_z126310315umeral).
% 224.49/223.21  all A_23 B_20 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_23),B_20)),B_20)=zero_z891286103de_int).
% 224.49/223.21  all N_27 Y_8 X_12 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,Y_8),X_12))->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,X_12),Y_8)),N_27)=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_12),N_27)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_8),N_27))).
% 224.49/223.21  all N_27 Y_8 X_12 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,Y_8),X_12))->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,X_12),Y_8)),N_27)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_12),N_27)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_8),N_27))).
% 224.49/223.21  all N_27 Y_8 X_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Y_8),X_12))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_12),Y_8)),N_27)=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_12),N_27)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_8),N_27))).
% 224.49/223.21  all N_27 Y_8 X_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_8),X_12))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_12),Y_8)),N_27)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_12),N_27)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_8),N_27))).
% 224.49/223.21  all K_2 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),K_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),K_2)),X_1)))).
% 224.49/223.21  all B_2 A_3 A_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),A_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_5),B_2)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2))))).
% 224.49/223.21  all B_2 A_3 A_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),A_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_5),B_2))))).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),A_3))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=zero_zero_int)).
% 224.49/223.21  all B_2 B_5 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_5),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_5)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)))))).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),zero_zero_int)))).
% 224.49/223.21  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)))).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),B_2))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=zero_zero_int)).
% 224.49/223.21  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),zero_zero_int)))).
% 224.49/223.21  all B_2 B_5 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_5),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_5)))))).
% 224.49/223.21  all B A (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(hAPP_int_fun_int_int(div_div_int,A),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)))).
% 224.49/223.21  all I_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_1)))).
% 224.49/223.21  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)))).
% 224.49/223.21  all I_1 K_1 (is_int(K_1)-> (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K_1)=zero_zero_int<->K_1=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),I_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),I_1)))).
% 224.49/223.21  all X_1 Y_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_1),Z_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),Z_1)),Y_1)))).
% 224.49/223.21  all A_3 B_2 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),C_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),C_1)).
% 224.49/223.21  all A_3 B_2 (is_int(A_3)->A_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2))),hAPP_int_int(div_mod_int(A_3),B_2))).
% 224.49/223.21  all A_3 B_2 C_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)),C_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_2),C_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_int_int(div_mod_int(B_2),C_1))),C_1))).
% 224.49/223.21  all B_2 A_3 K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2))),hAPP_int_int(div_mod_int(A_3),B_2))),K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),K_2)).
% 224.49/223.22  all A_3 B_2 K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),B_2)),hAPP_int_int(div_mod_int(A_3),B_2))),K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),K_2)).
% 224.49/223.22  all M N_1 (hAPP_int_int(div_mod_int(M),N_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M),N_1)),N_1))).
% 224.49/223.22  all N_1 M (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M),N_1))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M),hAPP_int_int(div_mod_int(M),N_1))).
% 224.49/223.22  all A_22 C_7 B_19 (is_int(B_19)-> (B_19!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_22),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_19),C_7))),B_19)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_7),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_22),B_19)))).
% 224.49/223.22  all A_22 C_7 B_19 (B_19!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_22),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_19),C_7))),B_19)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_7),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_22),B_19))).
% 224.49/223.22  all A_22 C_7 B_19 (B_19!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_22),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_19),C_7))),B_19)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_7),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_22),B_19))).
% 224.49/223.22  all A_22 C_7 B_19 (B_19!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_22),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_19),C_7))),B_19)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_7),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_22),B_19))).
% 224.49/223.22  all A_21 C_6 B_18 (is_int(B_18)-> (B_18!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_21),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_6),B_18))),B_18)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_6),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_21),B_18)))).
% 224.49/223.22  all A_21 C_6 B_18 (B_18!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_21),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_6),B_18))),B_18)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_21),B_18))).
% 224.49/223.22  all A_21 C_6 B_18 (B_18!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_21),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_6),B_18))),B_18)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,C_6),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_21),B_18))).
% 224.49/223.22  all A_21 C_6 B_18 (B_18!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_21),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_6),B_18))),B_18)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_6),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_21),B_18))).
% 224.49/223.22  all A_20 B_17 (is_int(B_17)-> (B_17!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_20),B_17)),B_17)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_20),B_17)),one_one_int))).
% 224.49/223.22  all A_20 B_17 (B_17!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_20),B_17)),B_17)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_20),B_17)),one_one_nat)).
% 224.49/223.22  all A_20 B_17 (B_17!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_20),B_17)),B_17)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_20),B_17)),one_on1645066479umeral)).
% 224.49/223.22  all A_20 B_17 (B_17!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_20),B_17)),B_17)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_20),B_17)),one_on1684967323de_int)).
% 224.49/223.22  all A_19 B_16 (is_int(B_16)-> (B_16!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_16),A_19)),B_16)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_19),B_16)),one_one_int))).
% 224.49/223.22  all A_19 B_16 (B_16!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_16),A_19)),B_16)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_19),B_16)),one_one_nat)).
% 224.49/223.22  all A_19 B_16 (B_16!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_16),A_19)),B_16)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_19),B_16)),one_on1645066479umeral)).
% 224.49/223.22  all A_19 B_16 (B_16!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_16),A_19)),B_16)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_19),B_16)),one_on1684967323de_int)).
% 224.49/223.22  all D B C A (A!=zero_z126310315umeral-> (C!=zero_z126310315umeral-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),B))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,C),D))-> (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,B),A)=hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,D),C)<->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B),C)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A),D)))))).
% 224.49/223.22  all D B C A (A!=zero_z891286103de_int-> (C!=zero_z891286103de_int-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),B))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,C),D))-> (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,B),A)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,D),C)<->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B),C)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A),D)))))).
% 224.49/223.22  all D B C A (is_int(C)&is_int(A)-> (A!=zero_zero_int-> (C!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,C),D))-> (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B),A)=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,D),C)<->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),C)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D))))))).
% 224.49/223.22  all D B C A (A!=zero_zero_nat-> (C!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C),D))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B),A)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,D),C)<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),D)))))).
% 224.49/223.22  all C B A (A!=zero_z126310315umeral-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A),B))-> (hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,B),A)=C<->B=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C),A)))).
% 224.49/223.22  all C B A (A!=zero_z891286103de_int-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A),B))-> (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,B),A)=C<->B=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C),A)))).
% 224.49/223.22  all C B A (is_int(C)&is_int(B)&is_int(A)-> (A!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A),B))-> (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B),A)=C<->B=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A))))).
% 224.49/223.22  all C B A (A!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A),B))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B),A)=C<->B=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C),A)))).
% 224.49/223.22  all A_18 B_15 (is_int(A_18)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(div_mod_int(A_18),B_15)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_18),B_15)),B_15))=A_18).
% 224.49/223.22  all A_18 B_15 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_18),B_15)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_18),B_15)),B_15))=A_18).
% 224.49/223.22  all A_18 B_15 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(div_mo1740067990umeral(A_18),B_15)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_18),B_15)),B_15))=A_18).
% 224.49/223.22  all A_18 B_15 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(div_mo231679042de_int(A_18),B_15)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_18),B_15)),B_15))=A_18).
% 224.49/223.22  all B_14 A_17 (is_int(A_17)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_14),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_17),B_14))),hAPP_int_int(div_mod_int(A_17),B_14))=A_17).
% 224.49/223.22  all B_14 A_17 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_14),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_17),B_14))),hAPP_nat_nat(div_mod_nat(A_17),B_14))=A_17).
% 224.49/223.22  all B_14 A_17 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_14),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_17),B_14))),hAPP_C498520661umeral(div_mo1740067990umeral(A_17),B_14))=A_17).
% 224.49/223.22  all B_14 A_17 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_14),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_17),B_14))),hAPP_Q1762011733de_int(div_mo231679042de_int(A_17),B_14))=A_17).
% 224.49/223.22  all A_16 B_13 (is_int(A_16)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_16),B_13)),B_13)),hAPP_int_int(div_mod_int(A_16),B_13))=A_16).
% 224.49/223.22  all A_16 B_13 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_16),B_13)),B_13)),hAPP_nat_nat(div_mod_nat(A_16),B_13))=A_16).
% 224.49/223.22  all A_16 B_13 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_16),B_13)),B_13)),hAPP_C498520661umeral(div_mo1740067990umeral(A_16),B_13))=A_16).
% 224.49/223.22  all A_16 B_13 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_16),B_13)),B_13)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_16),B_13))=A_16).
% 224.49/223.22  all B_12 A_15 C_5 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_12),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_15),B_12))),hAPP_int_int(div_mod_int(A_15),B_12))),C_5)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_15),C_5)).
% 224.49/223.22  all B_12 A_15 C_5 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_12),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_15),B_12))),hAPP_nat_nat(div_mod_nat(A_15),B_12))),C_5)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_15),C_5)).
% 224.49/223.22  all B_12 A_15 C_5 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_12),hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_15),B_12))),hAPP_C498520661umeral(div_mo1740067990umeral(A_15),B_12))),C_5)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_15),C_5)).
% 224.49/223.22  all B_12 A_15 C_5 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_12),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_15),B_12))),hAPP_Q1762011733de_int(div_mo231679042de_int(A_15),B_12))),C_5)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_15),C_5)).
% 224.49/223.22  all A_14 B_11 C_4 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_14),B_11)),B_11)),hAPP_int_int(div_mod_int(A_14),B_11))),C_4)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_14),C_4)).
% 224.49/223.22  all A_14 B_11 C_4 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_14),B_11)),B_11)),hAPP_nat_nat(div_mod_nat(A_14),B_11))),C_4)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_14),C_4)).
% 224.49/223.22  all A_14 B_11 C_4 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_14),B_11)),B_11)),hAPP_C498520661umeral(div_mo1740067990umeral(A_14),B_11))),C_4)=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_14),C_4)).
% 224.49/223.22  all A_14 B_11 C_4 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_14),B_11)),B_11)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_14),B_11))),C_4)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_14),C_4)).
% 224.49/223.22  all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_1),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),Y_1))),X_1))).
% 224.49/223.22  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_2),N)),zOdd))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd)))).
% 224.49/223.22  all B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,min)),B_2)=hAPP_int_int(number_number_of_int,min)).
% 224.49/223.22  all R_3 S_1 T_1 R_5 S_3 M T_2 N_1 (R_5=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_3),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_2),N_1))-> (R_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_1),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_1),N_1))->hAPP_int_int(div_mod_int(R_5),R_3)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,S_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),S_1))),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),T_1))),N_1)))).
% 224.49/223.22  all A_3 B_2 M (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),B_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),M)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_2),M)))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_3),M)),hAPP_int_int(div_mod_int(B_2),M)))).
% 224.49/223.22  all P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,P_5),zOdd))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.22  all P_1 N K_1 (is_int(N)&is_int(K_1)-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)))<-> (K_1=zero_zero_int->hBOOL(hAPP_int_bool(P_1,zero_zero_int)))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (all I_2 J_1 (is_int(I_2)&is_int(J_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,I_2))))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))-> (all I_2 J_1 (is_int(I_2)&is_int(J_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,I_2)))))))).
% 224.49/223.22  all X_1 Y_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_1),Z_1)),Z_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),Z_1)),Y_1)))).
% 224.49/223.22  all A_13 B_10 Y_1 R_7 (is_int(B_10)&is_int(Y_1)-> (A_13=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_10),Y_1)),R_7)-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_7))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_7),B_10)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_10))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_10),R_7))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_7),zero_zero_int)))-> (B_10!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_13),B_10)=Y_1)))).
% 224.49/223.22  all A_3 B_2 C_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))->hAPP_int_int(div_mod_int(A_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),C_1))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),C_1))),hAPP_int_int(div_mod_int(A_3),B_2))).
% 224.49/223.22  all L_2 K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),L_2))->posDivAlg(K_2,L_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,K_2),L_2)),hAPP_int_int(div_mod_int(K_2),L_2)))).
% 224.49/223.22  all L_2 K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),L_2))->negDivAlg(K_2,L_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,K_2),L_2)),hAPP_int_int(div_mod_int(K_2),L_2)))).
% 224.49/223.22  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2)),zero_zero_int))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=hAPP_int_int(number_number_of_int,min))).
% 224.49/223.22  all P_1 N K_1 (is_int(N)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))<-> (all I_2 J_1 (is_int(I_2)&is_int(J_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1)))))))).
% 224.49/223.22  all P_1 N K_1 (is_int(N)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),K_1)),hAPP_int_int(div_mod_int(N),K_1)))<-> (all I_2 J_1 (is_int(I_2)&is_int(J_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,J_1),K_1))&N=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),I_2)),J_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1)))))))).
% 224.49/223.22  all V_2 W ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_2))),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_2)),one_one_int)),hAPP_int_int(number_number_of_int,W)))).
% 224.49/223.22  all X_2 Y_2 Z_2 (X_2=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_2),Z_2)<->Y_2=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Z_2)).
% 224.49/223.22  all P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,P_5),zOdd))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5)))).
% 224.49/223.22  all P_1 A0 A1 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))-> ((all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_2),B_4)))-> ((-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_2),B_4)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),zero_zero_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_4))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A_2),B_4))))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)))).
% 224.49/223.22  all P_1 A0 A1 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))-> ((all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_2),B_4)))-> ((-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_2),B_4))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_4),zero_zero_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),B_4))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A_2),B_4))))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)))).
% 224.49/223.22  all X_2 (is_int(X_2)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> -(all K (is_int(K)->X_2!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K)),one_one_int))))).
% 224.49/223.22  all A_12 B_9 (is_int(A_12)->A_12=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_12),B_9)),B_9)),hAPP_int_int(div_mod_int(A_12),B_9))).
% 224.49/223.22  all A_12 B_9 (A_12=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_12),B_9)),B_9)),hAPP_nat_nat(div_mod_nat(A_12),B_9))).
% 224.49/223.22  all A_12 B_9 (A_12=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,A_12),B_9)),B_9)),hAPP_C498520661umeral(div_mo1740067990umeral(A_12),B_9))).
% 224.49/223.22  all A_12 B_9 (A_12=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,A_12),B_9)),B_9)),hAPP_Q1762011733de_int(div_mo231679042de_int(A_12),B_9))).
% 224.49/223.22  all A_3 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),A_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),P_3)))))).
% 224.49/223.22  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_int_int(number_number_of_int,min)),P_3)))))).
% 224.49/223.22  all X_1 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),one_one_int),P_3)))))).
% 224.49/223.22  all X_2 Y_2 P_1 ((hBOOL(P_1)->hAPP_int_nat(nat,X_2)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,P_1),X_2),Y_2)))& (-hBOOL(P_1)->hAPP_int_nat(nat,Y_2)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,P_1),X_2),Y_2)))).
% 224.49/223.22  all K_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),K_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),K_2)))).
% 224.49/223.22  all M N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)),M)).
% 224.49/223.22  all A_3 B_2 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),C_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_3),B_2)),C_1)).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_1))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),Y_1)))).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),Y_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_1))).
% 224.49/223.22  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)=zero_zero_nat).
% 224.49/223.22  all M N_1 K_2 ((K_2=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=zero_zero_nat)& (K_2!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1))).
% 224.49/223.22  zero_zero_nat=hAPP_int_nat(nat,zero_zero_int).
% 224.49/223.22  hAPP_int_nat(nat,zero_zero_int)=zero_zero_nat.
% 224.49/223.22  all Y_2 X_2 (is_int(Y_2)&is_int(X_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hAPP_int_nat(nat,X_2)=hAPP_int_nat(nat,Y_2)<->X_2=Y_2)))).
% 224.49/223.22  all P_1 ((all X1 hBOOL(hAPP_nat_bool(P_1,X1)))<-> (all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,X))))))).
% 224.49/223.22  all P_1 ((exists X1 hBOOL(hAPP_nat_bool(P_1,X1)))<-> (exists X (is_int(X)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))&hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,X)))))).
% 224.49/223.22  all Z_3 Z_2 (is_int(Z_3)&is_int(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_e_q_int,zero_zero_int),Z_3))-> (hAPP_int_nat(nat,Z_2)=hAPP_int_nat(nat,Z_3)<->Z_2=Z_3)))).
% 224.49/223.22  all W (hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,W))=hAPP_int_nat(number_number_of_nat,W)).
% 224.49/223.22  all V_2 (hAPP_int_nat(number_number_of_nat,V_2)=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,V_2))).
% 224.49/223.22  one_one_nat=hAPP_int_nat(nat,one_one_int).
% 224.49/223.22  all A_3 B_2 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_3),B_2)),C_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_3),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_2),C_1))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_3),C_1)),hAPP_nat_nat(div_mod_nat(B_2),C_1))),C_1))).
% 224.49/223.22  all K_2 N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,K_2),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,K_2),M))))).
% 224.49/223.22  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)),N_1)=M).
% 224.49/223.22  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M)),N_1)=M).
% 224.49/223.22  all M N_1 K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)).
% 224.49/223.22  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)),M)))).
% 224.49/223.22  all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),zero_zero_int))->hAPP_int_nat(nat,Z_1)=zero_zero_nat).
% 224.49/223.22  all I_1 (hAPP_int_nat(nat,I_1)=zero_zero_nat<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),zero_zero_int))).
% 224.49/223.22  all W_1 Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)))).
% 224.49/223.22  all W_1 Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))).
% 224.49/223.22  all Y_2 X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,X_2)),hAPP_int_nat(nat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),Y_2))))).
% 224.49/223.22  all A_3 B_2 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2)),C_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_2),C_1))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),hAPP_nat_nat(div_mod_nat(B_2),C_1))),C_1))).
% 224.49/223.22  all A_3 B_2 C_1 (hAPP_nat_nat(div_mod_nat(A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),C_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_3),B_2)),C_1))),hAPP_nat_nat(div_mod_nat(A_3),B_2))).
% 224.49/223.22  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(div_mod_nat(M),N_1))).
% 224.49/223.22  all N_1 M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(div_mod_nat(M),N_1))).
% 224.49/223.22  all M N_1 (hAPP_nat_nat(div_mod_nat(M),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)),N_1))).
% 224.49/223.22  all P_1 N K_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),K_1)))<-> (K_1=zero_zero_nat->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (K_1!=zero_zero_nat-> (all I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K_1))-> (N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_1),I_2)),J_1)->hBOOL(hAPP_nat_bool(P_1,I_2))))))).
% 224.49/223.22  all Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Z_2))).
% 224.49/223.22  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))).
% 224.49/223.22  all Y_2 X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,X_2)),hAPP_int_nat(nat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Y_2))))).
% 224.49/223.22  all Z_2 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2)))).
% 224.49/223.22  all Z_2 W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),W_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,W_1)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2)))).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_1))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1)))).
% 224.49/223.22  all Z_4 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),Z_4))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,Z_1)),hAPP_int_nat(nat,Z_4))).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_1))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_1)))).
% 224.49/223.22  all Z_4 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_4))->hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),Z_4))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,Z_1)),hAPP_int_nat(nat,Z_4)))).
% 224.49/223.22  all Y_2 X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,X_2)),hAPP_int_nat(nat,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_2),Y_2))))).
% 224.49/223.22  all Z_1 Z_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_4),Z_1))->hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_1),Z_4))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,Z_1)),hAPP_int_nat(nat,Z_4)))).
% 224.49/223.22  all N_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,X_1)),N_1)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N_1))).
% 224.49/223.22  all N_1 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,Z_1)),N_1)).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_1))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(X_1),Y_1)))).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hAPP_int_nat(nat,hAPP_int_int(div_mod_int(X_1),Y_1))=hAPP_nat_nat(div_mod_nat(hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_1)))).
% 224.49/223.22  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),M)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=M).
% 224.49/223.22  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.49/223.22  all A_3 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),P_3))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(nat,P_3))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,P_3)),one_one_nat)))).
% 224.49/223.22  all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_2))=hAPP_int_int(number_number_of_int,min))).
% 224.49/223.22  all X_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)))),one_one_int),P_3)))).
% 224.49/223.22  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.22  all P_3 X_1 (hAPP_int_int(multInv(P_3),X_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.22  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.22  all P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.22  all P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,P_3)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.22  all P_3 A_3 (hAPP_int_int(inv(P_3),A_3)=hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),P_3)).
% 224.49/223.22  all P_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.22  all A_3 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),zero_zero_int),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),P_3))))).
% 224.49/223.22  all A_3 P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))-> (hBOOL(hAPP_int_bool(zprime,P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(legendre(A_3),P_3)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),P_3)))).
% 224.49/223.22  all I N_1 (hAPP_nat_nat(nat_aux(I),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,I)),N_1)).
% 224.49/223.22  all M D_3 R_3 (hAPP_nat_nat(div_mod_nat(M),D_3)=R_3-> (exists Q_4 (M=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,R_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Q_4),D_3))))).
% 224.49/223.22  all M_14 D_4 (hAPP_nat_nat(div_mod_nat(M_14),D_4)=zero_zero_nat-> (exists Q_4 (M_14=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D_4),Q_4)))).
% 224.49/223.22  all P_3 (hBOOL(hAPP_int_bool(zprime,P_3))->hAPP_int_nat(phi,P_3)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int))).
% 224.49/223.22  hBOOL(hAPP_f448129468l_bool(nat_tr876908586nt_nat(nat),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))).
% 224.49/223.22  all C_1 A_3 B_2 Q_2 R_3 (is_int(B_2)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3)))-> (B_2!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_1))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),C_1)),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Q_2),C_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),hAPP_int_int(div_mod_int(Q_2),C_1))),R_3)))))))).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_1))=hAPP_int_nat(nat,hAPP_int_int(nat_tsub(X_1),Y_1)))).
% 224.49/223.22  all F A_1 hBOOL(hAPP_f448129468l_bool(nat_tr876908586nt_nat(F),A_1)).
% 224.49/223.22  all F A_1 hBOOL(hAPP_f54304608l_bool(nat_tr160667106at_int(F),A_1)).
% 224.49/223.22  all F A_1 hBOOL(hAPP_f448129468l_bool(nat_tr876908586nt_nat(F),A_1)).
% 224.49/223.22  all F A_1 hBOOL(hAPP_f54304608l_bool(nat_tr160667106at_int(F),A_1)).
% 224.49/223.22  all Q_8 R_5 A_3 B_2 Q_2 R_3 (is_int(R_5)&is_int(B_2)&is_int(R_3)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_8),R_5)))-> (B_2!=zero_zero_int->R_3=R_5)))).
% 224.49/223.22  all Q_8 R_5 A_3 B_2 Q_2 R_3 (is_int(Q_8)&is_int(B_2)&is_int(Q_2)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_8),R_5)))-> (B_2!=zero_zero_int->Q_2=Q_8)))).
% 224.49/223.22  all A_3 Q_2 R_3 (is_int(A_3)&is_int(R_3)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,A_3),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3)))-> (A_3!=zero_zero_int->R_3=zero_zero_int))).
% 224.49/223.22  all B_2 (is_int(B_2)-> (B_2!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(zero_zero_int,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))))).
% 224.49/223.22  all A_3 Q_2 R_3 (is_int(A_3)&is_int(Q_2)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,A_3),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3)))-> (A_3!=zero_zero_int->Q_2=one_one_int))).
% 224.49/223.22  all A_3 B_2 Q_2 R_3 (is_int(B_2)&is_int(Q_2)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3)))-> (B_2!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=Q_2))).
% 224.49/223.22  all A_3 B_2 Q_2 R_3 (is_int(B_2)&is_int(R_3)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3)))-> (B_2!=zero_zero_int->hAPP_int_int(div_mod_int(A_3),B_2)=R_3))).
% 224.49/223.22  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),negDivAlg(A_3,B_2))))).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(nat_tsub(X_1),Y_1))))).
% 224.49/223.22  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))->hAPP_int_int(nat_tsub(X_1),Y_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_1)).
% 224.49/223.22  all A_3 B_2 (is_int(B_2)-> (B_2!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),hAPP_int_int(div_mod_int(A_3),B_2)))))).
% 224.49/223.22  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),posDivAlg(A_3,B_2))))).
% 224.49/223.22  all B_2 Bq Br A_3 C_1 Aq Ar (is_int(C_1)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Aq),Ar)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(B_2,C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Bq),Br)))-> (C_1!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_3),B_2),C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Aq),Bq)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ar),Br)),C_1))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ar),Br)),C_1)))))))).
% 224.49/223.22  all Y_1 X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))->hAPP_int_int(nat_tsub(X_1),Y_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_1))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_1),X_1))->hAPP_int_int(nat_tsub(X_1),Y_1)=zero_zero_int)).
% 224.49/223.22  all A_3 B_2 Q_2 R_3 (A_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),Q_2)),R_3)-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_3))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_3),B_2)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_3))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int)))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3))))).
% 224.49/223.22  all A_3 B_2 C_1 Q_2 R_3 (is_int(C_1)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(B_2,C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3)))-> (C_1!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2),C_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),Q_2)),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),R_3)),C_1))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),R_3)),C_1))))))).
% 224.49/223.22  all P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),P_3))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int))),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.22  all X_1 (is_int(X_1)-> (-hBOOL(hAPP_int_bool(even_odd_even_int,X_1))->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_int)=X_1)).
% 224.49/223.22  all K_2 ((K_2=zero_z126310315umeral->code_int_of(K_2)=zero_zero_int)& (K_2!=zero_z126310315umeral-> (hAPP_C498520661umeral(div_mo1740067990umeral(K_2),hAPP_i769753017umeral(number1443263063umeral,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_z126310315umeral->code_int_of(K_2)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),code_int_of(hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,K_2),hAPP_i769753017umeral(number1443263063umeral,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))& (hAPP_C498520661umeral(div_mo1740067990umeral(K_2),hAPP_i769753017umeral(number1443263063umeral,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_z126310315umeral->code_int_of(K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),code_int_of(hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,K_2),hAPP_i769753017umeral(number1443263063umeral,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),one_one_int)))).
% 224.49/223.23  all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_2))=one_one_int)).
% 224.49/223.23  all X_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_11))->hAPP_n1108039445umeral(semiri1619134803umeral,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_11)))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_n1108039445umeral(semiri1619134803umeral,hAPP_int_nat(nat,X_11))),hAPP_n1108039445umeral(semiri1619134803umeral,hAPP_int_nat(nat,X_11)))).
% 224.49/223.23  all X_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_11))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_11)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,X_11))),hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,X_11)))).
% 224.49/223.23  all X_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_11))->hAPP_nat_nat(semiri984289939at_nat,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_11)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(semiri984289939at_nat,hAPP_int_nat(nat,X_11))),hAPP_nat_nat(semiri984289939at_nat,hAPP_int_nat(nat,X_11)))).
% 224.49/223.23  all X_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_11))->hAPP_nat_real(semiri132038758t_real,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_11)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(semiri132038758t_real,hAPP_int_nat(nat,X_11))),hAPP_nat_real(semiri132038758t_real,hAPP_int_nat(nat,X_11)))).
% 224.49/223.23  all X_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_11))->hAPP_nat_complex(semiri2020571505omplex,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_11)))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_nat_complex(semiri2020571505omplex,hAPP_int_nat(nat,X_11))),hAPP_nat_complex(semiri2020571505omplex,hAPP_int_nat(nat,X_11)))).
% 224.49/223.23  all X_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_11))->hAPP_n522471361de_int(semiri1424489471de_int,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_11)))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_n522471361de_int(semiri1424489471de_int,hAPP_int_nat(nat,X_11))),hAPP_n522471361de_int(semiri1424489471de_int,hAPP_int_nat(nat,X_11)))).
% 224.49/223.23  all X_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_11))->hAPP_nat_rat(semiri151668891at_rat,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_11)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(semiri151668891at_rat,hAPP_int_nat(nat,X_11))),hAPP_nat_rat(semiri151668891at_rat,hAPP_int_nat(nat,X_11)))).
% 224.49/223.23  all I_1 J F ((all I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,I_2)),hAPP_nat_nat(F,J_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,I_1)),hAPP_nat_nat(F,J))))).
% 224.49/223.23  all X_10 Y_7 ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Z))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z),X_10)),Y_7)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_10),Y_7))).
% 224.49/223.23  all X_10 Y_7 ((all Z (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Z))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Z),X_10)),Y_7)))))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_10),Y_7))).
% 224.49/223.23  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,N_1))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1)))).
% 224.49/223.23  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N_1))).
% 224.49/223.23  all K_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(suc,zero_zero_nat)),K_2)).
% 224.49/223.23  hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,zero_z126310315umeral),one_on1645066479umeral)=zero_z126310315umeral.
% 224.49/223.23  all N_26 (hAPP_int_nat(number_number_of_nat,hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_nat(semiri984289939at_nat,N_26)).
% 224.49/223.23  all N_26 (hAPP_int_int(number_number_of_int,hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_int(semiri1621563631at_int,N_26)).
% 224.49/223.23  all N_26 (hAPP_int_real(number267125858f_real,hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_real(semiri132038758t_real,N_26)).
% 224.49/223.23  all N_26 (hAPP_int_complex(number528085621omplex,hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_complex(semiri2020571505omplex,N_26)).
% 224.49/223.23  all N_26 (hAPP_int_rat(number_number_of_rat,hAPP_nat_int(semiri1621563631at_int,N_26))=hAPP_nat_rat(semiri151668891at_rat,N_26)).
% 224.49/223.23  all X_1 Y_1 (hAPP_nat_nat(suc,X_1)=hAPP_nat_nat(suc,Y_1)->X_1=Y_1).
% 224.49/223.23  all Ma N (hAPP_n522471361de_int(semiri1424489471de_int,Ma)=hAPP_n522471361de_int(semiri1424489471de_int,N)<->Ma=N).
% 224.49/223.23  all Ma N (hAPP_n1108039445umeral(semiri1619134803umeral,Ma)=hAPP_n1108039445umeral(semiri1619134803umeral,N)<->Ma=N).
% 224.49/223.23  all Ma N (hAPP_nat_nat(semiri984289939at_nat,Ma)=hAPP_nat_nat(semiri984289939at_nat,N)<->Ma=N).
% 224.49/223.23  all Ma N (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,N)<->Ma=N).
% 224.49/223.23  all Ma N (hAPP_nat_real(semiri132038758t_real,Ma)=hAPP_nat_real(semiri132038758t_real,N)<->Ma=N).
% 224.49/223.23  all Ma N (hAPP_nat_complex(semiri2020571505omplex,Ma)=hAPP_nat_complex(semiri2020571505omplex,N)<->Ma=N).
% 224.49/223.23  all Ma N (hAPP_nat_rat(semiri151668891at_rat,Ma)=hAPP_nat_rat(semiri151668891at_rat,N)<->Ma=N).
% 224.49/223.23  all Nat_5 Nat_4 (hAPP_nat_nat(suc,Nat_5)=hAPP_nat_nat(suc,Nat_4)<->Nat_5=Nat_4).
% 224.49/223.23  all N_1 (hAPP_nat_nat(suc,N_1)!=N_1).
% 224.49/223.23  all N_1 (N_1!=hAPP_nat_nat(suc,N_1)).
% 224.49/223.23  all M_13 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M_13))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,M_13))).
% 224.49/223.23  all M_13 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(suc,M_13))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_nat_nat(semiri984289939at_nat,M_13))).
% 224.49/223.23  all M_13 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(suc,M_13))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_nat_real(semiri132038758t_real,M_13))).
% 224.49/223.23  all M_13 (hAPP_n1108039445umeral(semiri1619134803umeral,hAPP_nat_nat(suc,M_13))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),hAPP_n1108039445umeral(semiri1619134803umeral,M_13))).
% 224.49/223.23  all M_13 (hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(suc,M_13))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),hAPP_nat_complex(semiri2020571505omplex,M_13))).
% 224.49/223.23  all M_13 (hAPP_n522471361de_int(semiri1424489471de_int,hAPP_nat_nat(suc,M_13))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,one_on1684967323de_int),hAPP_n522471361de_int(semiri1424489471de_int,M_13))).
% 224.49/223.23  all M_13 (hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(suc,M_13))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),hAPP_nat_rat(semiri151668891at_rat,M_13))).
% 224.49/223.23  hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat))=one_one_int.
% 224.49/223.23  all W_1 Z_2 (is_int(Z_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),Z_2))<-> (exists N_2 (Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2))))))).
% 224.49/223.23  all M (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,M))).
% 224.49/223.23  all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 224.49/223.23  all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 224.49/223.23  all Nat_3 (hAPP_nat_nat(suc,Nat_3)!=zero_zero_nat).
% 224.49/223.23  all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 224.49/223.23  all Nat_2 (zero_zero_nat!=hAPP_nat_nat(suc,Nat_2)).
% 224.49/223.23  all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 224.49/223.23  all N_1 (hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,N_1))=N_1).
% 224.49/223.23  all Ma N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,Ma)))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(suc,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))|Ma=N).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,Ma)),hAPP_nat_nat(suc,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all N Ma (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,Ma)))<->N=Ma)).
% 224.49/223.23  all N_1 M (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M)))->M=N_1)).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1)))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))-> (hAPP_nat_nat(suc,M)!=N_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N_1)))).
% 224.49/223.23  all K_2 I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_2),K_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K_2)))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->M=N_1)).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))).
% 224.49/223.23  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),hAPP_nat_nat(suc,N_1))).
% 224.49/223.23  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))).
% 224.49/223.23  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N_1)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->M=hAPP_nat_nat(suc,N_1))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N_1)))).
% 224.49/223.23  all N Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_nat_nat(suc,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),Ma))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),hAPP_nat_nat(suc,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))|Ma=hAPP_nat_nat(suc,N)).
% 224.49/223.23  all Ma N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),Ma))).
% 224.49/223.23  all N_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),N_1))).
% 224.49/223.23  all K_1 Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)<->Ma=N).
% 224.49/223.23  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)).
% 224.49/223.23  all M N_1 K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),N_1)),hAPP_nat_nat(suc,K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),K_2)).
% 224.49/223.23  all M N_1 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M),N_1))),N_1)).
% 224.49/223.23  all X_2 N Y_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))<->X_2=Y_2).
% 224.49/223.23  hBOOL(hAPP_int_bool(even_odd_even_int,zero_zero_int)).
% 224.49/223.23  -hBOOL(hAPP_int_bool(even_odd_even_int,one_one_int)).
% 224.49/223.23  all Y_1 X_1 (-hBOOL(hAPP_int_bool(even_odd_even_int,X_1))-> (-hBOOL(hAPP_int_bool(even_odd_even_int,Y_1))-> -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1))))).
% 224.49/223.23  all X_1 Y_1 (hBOOL(hAPP_int_bool(even_odd_even_int,Y_1))->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1)))).
% 224.49/223.23  all Y_1 X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1)))).
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Y_2)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_2))|hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))).
% 224.49/223.23  all Y_1 X_1 (-hBOOL(hAPP_int_bool(even_odd_even_int,X_1))-> (-hBOOL(hAPP_int_bool(even_odd_even_int,Y_1))->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_1))))).
% 224.49/223.23  all Y_1 X_1 (-hBOOL(hAPP_int_bool(even_odd_even_int,X_1))-> (hBOOL(hAPP_int_bool(even_odd_even_int,Y_1))-> -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_1))))).
% 224.49/223.23  all Y_1 X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))-> (-hBOOL(hAPP_int_bool(even_odd_even_int,Y_1))-> -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_1))))).
% 224.49/223.23  all Y_1 X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))-> (hBOOL(hAPP_int_bool(even_odd_even_int,Y_1))->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_1))))).
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),Y_2)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_2))&hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_2))& -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))).
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),Y_2)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_2))&hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))| -hBOOL(hAPP_int_bool(even_odd_even_int,X_2))& -hBOOL(hAPP_int_bool(even_odd_even_int,Y_2))).
% 224.49/223.23  all N_1 X_1 (-hBOOL(hAPP_int_bool(even_odd_even_int,X_1))-> -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N_1)))).
% 224.49/223.23  -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,one_one_int),zEven)).
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Y_2)),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))).
% 224.49/223.23  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Y_2)),zEven))).
% 224.49/223.23  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),Y_2)),zEven)))).
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),Y_2)),zEven))<-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)))).
% 224.49/223.23  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),Y_2)),zEven)))).
% 224.49/223.23  all X_2 (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))).
% 224.49/223.23  all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))).
% 224.49/223.23  all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))<-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))).
% 224.49/223.23  all X_2 (-(hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven)))).
% 224.49/223.23  all N_25 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_nat_rat(semiri151668891at_rat,N_25))).
% 224.49/223.23  all N_25 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_n522471361de_int(semiri1424489471de_int,N_25))).
% 224.49/223.23  all N_25 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_n1108039445umeral(semiri1619134803umeral,N_25))).
% 224.49/223.23  all N_25 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,N_25))).
% 224.49/223.23  all N_25 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,N_25))).
% 224.49/223.23  all N_25 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_25))).
% 224.49/223.23  all M_12 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_nat_rat(semiri151668891at_rat,M_12))).
% 224.49/223.23  all M_12 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_n522471361de_int(semiri1424489471de_int,M_12))).
% 224.49/223.23  all M_12 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_n1108039445umeral(semiri1619134803umeral,M_12))).
% 224.49/223.23  all M_12 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,M_12))).
% 224.49/223.23  all M_12 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,M_12))).
% 224.49/223.23  all M_12 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,M_12))).
% 224.49/223.23  all M_11 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,M_11)),zero_zero_rat))).
% 224.49/223.23  all M_11 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_11)),zero_z891286103de_int))).
% 224.49/223.23  all M_11 (-hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(semiri1619134803umeral,M_11)),zero_z126310315umeral))).
% 224.49/223.23  all M_11 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_11)),zero_zero_real))).
% 224.49/223.23  all M_11 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_11)),zero_zero_nat))).
% 224.49/223.23  all M_11 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_11)),zero_zero_int))).
% 224.49/223.23  hAPP_nat_rat(semiri151668891at_rat,zero_zero_nat)=zero_zero_rat.
% 224.49/223.23  hAPP_n522471361de_int(semiri1424489471de_int,zero_zero_nat)=zero_z891286103de_int.
% 224.49/223.23  hAPP_nat_complex(semiri2020571505omplex,zero_zero_nat)=zero_zero_complex.
% 224.49/223.23  hAPP_n1108039445umeral(semiri1619134803umeral,zero_zero_nat)=zero_z126310315umeral.
% 224.49/223.23  hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real.
% 224.49/223.23  hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat.
% 224.49/223.23  hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 224.49/223.23  all Ma N (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(semiri1619134803umeral,Ma)),hAPP_n1108039445umeral(semiri1619134803umeral,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,Ma)),hAPP_nat_rat(semiri151668891at_rat,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,Ma)),hAPP_n522471361de_int(semiri1424489471de_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all M_10 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_24))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(semiri1619134803umeral,M_10)),hAPP_n1108039445umeral(semiri1619134803umeral,N_24)))).
% 224.49/223.23  all M_10 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_24))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,M_10)),hAPP_nat_rat(semiri151668891at_rat,N_24)))).
% 224.49/223.23  all M_10 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_24))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_10)),hAPP_n522471361de_int(semiri1424489471de_int,N_24)))).
% 224.49/223.23  all M_10 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_24))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_10)),hAPP_nat_real(semiri132038758t_real,N_24)))).
% 224.49/223.23  all M_10 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_24))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_10)),hAPP_nat_nat(semiri984289939at_nat,N_24)))).
% 224.49/223.23  all M_10 N_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_10),N_24))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_10)),hAPP_nat_int(semiri1621563631at_int,N_24)))).
% 224.49/223.23  all M_9 N_23 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(semiri1619134803umeral,M_9)),hAPP_n1108039445umeral(semiri1619134803umeral,N_23)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_23))).
% 224.49/223.23  all M_9 N_23 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,M_9)),hAPP_nat_rat(semiri151668891at_rat,N_23)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_23))).
% 224.49/223.23  all M_9 N_23 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_9)),hAPP_n522471361de_int(semiri1424489471de_int,N_23)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_23))).
% 224.49/223.23  all M_9 N_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_9)),hAPP_nat_real(semiri132038758t_real,N_23)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_23))).
% 224.49/223.23  all M_9 N_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_9)),hAPP_nat_nat(semiri984289939at_nat,N_23)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_23))).
% 224.49/223.23  all M_9 N_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_9)),hAPP_nat_int(semiri1621563631at_int,N_23)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_9),N_23))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(semiri1619134803umeral,Ma)),hAPP_n1108039445umeral(semiri1619134803umeral,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(semiri1424489471de_int,Ma)),hAPP_n522471361de_int(semiri1424489471de_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(semiri151668891at_rat,Ma)),hAPP_nat_rat(semiri151668891at_rat,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all M_8 N_22 (hAPP_n1108039445umeral(semiri1619134803umeral,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),N_22))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_n1108039445umeral(semiri1619134803umeral,M_8)),hAPP_n1108039445umeral(semiri1619134803umeral,N_22))).
% 224.49/223.23  all M_8 N_22 (hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),N_22))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(semiri151668891at_rat,M_8)),hAPP_nat_rat(semiri151668891at_rat,N_22))).
% 224.49/223.23  all M_8 N_22 (hAPP_n522471361de_int(semiri1424489471de_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),N_22))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_8)),hAPP_n522471361de_int(semiri1424489471de_int,N_22))).
% 224.49/223.23  all M_8 N_22 (hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),N_22))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_nat_complex(semiri2020571505omplex,M_8)),hAPP_nat_complex(semiri2020571505omplex,N_22))).
% 224.49/223.23  all M_8 N_22 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),N_22))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(semiri132038758t_real,M_8)),hAPP_nat_real(semiri132038758t_real,N_22))).
% 224.49/223.23  all M_8 N_22 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),N_22))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(semiri984289939at_nat,M_8)),hAPP_nat_nat(semiri984289939at_nat,N_22))).
% 224.49/223.23  all M_8 N_22 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_8),N_22))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_8)),hAPP_nat_int(semiri1621563631at_int,N_22))).
% 224.49/223.23  all M_7 N_21 (hAPP_n1108039445umeral(semiri1619134803umeral,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_7),N_21))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(semiri1619134803umeral,M_7)),hAPP_n1108039445umeral(semiri1619134803umeral,N_21))).
% 224.49/223.23  all M_7 N_21 (hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_7),N_21))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(semiri151668891at_rat,M_7)),hAPP_nat_rat(semiri151668891at_rat,N_21))).
% 224.49/223.23  all M_7 N_21 (hAPP_n522471361de_int(semiri1424489471de_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_7),N_21))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_7)),hAPP_n522471361de_int(semiri1424489471de_int,N_21))).
% 224.49/223.23  all M_7 N_21 (hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_7),N_21))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(semiri2020571505omplex,M_7)),hAPP_nat_complex(semiri2020571505omplex,N_21))).
% 224.49/223.23  all M_7 N_21 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_7),N_21))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(semiri132038758t_real,M_7)),hAPP_nat_real(semiri132038758t_real,N_21))).
% 224.49/223.23  all M_7 N_21 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_7),N_21))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(semiri984289939at_nat,M_7)),hAPP_nat_nat(semiri984289939at_nat,N_21))).
% 224.49/223.23  all M_7 N_21 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_7),N_21))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_7)),hAPP_nat_int(semiri1621563631at_int,N_21))).
% 224.49/223.23  hAPP_nat_rat(semiri151668891at_rat,one_one_nat)=one_one_rat.
% 224.49/223.23  hAPP_n522471361de_int(semiri1424489471de_int,one_one_nat)=one_on1684967323de_int.
% 224.49/223.23  hAPP_nat_complex(semiri2020571505omplex,one_one_nat)=one_one_complex.
% 224.49/223.23  hAPP_n1108039445umeral(semiri1619134803umeral,one_one_nat)=one_on1645066479umeral.
% 224.49/223.23  hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real.
% 224.49/223.23  hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat.
% 224.49/223.23  hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 224.49/223.23  zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 224.49/223.23  all N (hAPP_nat_int(semiri1621563631at_int,N)=zero_zero_int<->N=zero_zero_nat).
% 224.49/223.23  hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 224.49/223.23  all M_6 N_20 (hAPP_n522471361de_int(semiri1424489471de_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_20))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_6)),N_20)).
% 224.49/223.23  all M_6 N_20 (hAPP_n1108039445umeral(semiri1619134803umeral,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_20))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_n1108039445umeral(semiri1619134803umeral,M_6)),N_20)).
% 224.49/223.23  all M_6 N_20 (hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_20))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_nat_rat(semiri151668891at_rat,M_6)),N_20)).
% 224.49/223.23  all M_6 N_20 (hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_20))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(semiri2020571505omplex,M_6)),N_20)).
% 224.49/223.23  all M_6 N_20 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_20))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(semiri984289939at_nat,M_6)),N_20)).
% 224.49/223.23  all M_6 N_20 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_20))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(semiri132038758t_real,M_6)),N_20)).
% 224.49/223.23  all M_6 N_20 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_20))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M_6)),N_20)).
% 224.49/223.23  all K_2 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_2)),zero_zero_int))).
% 224.49/223.23  all P_1 ((all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hBOOL(hAPP_int_bool(P_1,X)))))<-> (all X hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X))))).
% 224.49/223.23  all P_1 ((exists X (is_int(X)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))&hBOOL(hAPP_int_bool(P_1,X))))<-> (exists X hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X))))).
% 224.49/223.23  all Z_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Z_1))).
% 224.49/223.23  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))).
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,X_2)),hAPP_nat_int(semiri1621563631at_int,Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all N_19 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,zero_zero_rat),hAPP_nat_nat(suc,N_19))=zero_zero_rat).
% 224.49/223.23  all N_19 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),hAPP_nat_nat(suc,N_19))=zero_z891286103de_int).
% 224.49/223.23  all N_19 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),hAPP_nat_nat(suc,N_19))=zero_zero_complex).
% 224.49/223.23  all N_19 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),hAPP_nat_nat(suc,N_19))=zero_z126310315umeral).
% 224.49/223.23  all N_19 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),hAPP_nat_nat(suc,N_19))=zero_zero_real).
% 224.49/223.23  all N_19 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),hAPP_nat_nat(suc,N_19))=zero_zero_nat).
% 224.49/223.23  all N_19 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),hAPP_nat_nat(suc,N_19))=zero_zero_int).
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,X_2)),hAPP_nat_int(semiri1621563631at_int,Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all W_1 Z_2 (is_int(Z_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W_1),Z_2))<-> (exists N_2 (Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W_1),hAPP_nat_int(semiri1621563631at_int,N_2)))))).
% 224.49/223.23  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_1))).
% 224.49/223.23  all M N_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))).
% 224.49/223.23  all M N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1))).
% 224.49/223.23  all X_9 Q_7 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_9),Q_7)),X_9)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_9),hAPP_nat_nat(suc,Q_7))).
% 224.49/223.23  all X_9 Q_7 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_9),Q_7)),X_9)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_9),hAPP_nat_nat(suc,Q_7))).
% 224.49/223.23  all X_9 Q_7 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_9),Q_7)),X_9)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_9),hAPP_nat_nat(suc,Q_7))).
% 224.49/223.23  all X_9 Q_7 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_9),Q_7)),X_9)=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_9),hAPP_nat_nat(suc,Q_7))).
% 224.49/223.23  all X_9 Q_7 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_9),Q_7)),X_9)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_9),hAPP_nat_nat(suc,Q_7))).
% 224.49/223.23  all X_9 Q_7 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_9),Q_7)),X_9)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_9),hAPP_nat_nat(suc,Q_7))).
% 224.49/223.23  all X_9 Q_7 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_9),Q_7)),X_9)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_9),hAPP_nat_nat(suc,Q_7))).
% 224.49/223.23  all X_8 Q_6 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_8),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_8),Q_6))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_8),hAPP_nat_nat(suc,Q_6))).
% 224.49/223.23  all X_8 Q_6 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,X_8),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_8),Q_6))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_8),hAPP_nat_nat(suc,Q_6))).
% 224.49/223.23  all X_8 Q_6 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_8),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_8),Q_6))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_8),hAPP_nat_nat(suc,Q_6))).
% 224.49/223.23  all X_8 Q_6 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_8),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_8),Q_6))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_8),hAPP_nat_nat(suc,Q_6))).
% 224.49/223.23  all X_8 Q_6 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_8),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_8),Q_6))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_8),hAPP_nat_nat(suc,Q_6))).
% 224.49/223.23  all X_8 Q_6 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_8),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_8),Q_6))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_8),hAPP_nat_nat(suc,Q_6))).
% 224.49/223.23  all X_8 Q_6 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_8),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_8),Q_6))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_8),hAPP_nat_nat(suc,Q_6))).
% 224.49/223.23  all X_7 Q_5 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_7),hAPP_nat_nat(suc,Q_5))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_7),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_7),Q_5))).
% 224.49/223.23  all X_7 Q_5 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_7),hAPP_nat_nat(suc,Q_5))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,X_7),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_7),Q_5))).
% 224.49/223.23  all X_7 Q_5 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_7),hAPP_nat_nat(suc,Q_5))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_7),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_7),Q_5))).
% 224.49/223.23  all X_7 Q_5 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_7),hAPP_nat_nat(suc,Q_5))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_7),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_7),Q_5))).
% 224.49/223.23  all X_7 Q_5 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_7),hAPP_nat_nat(suc,Q_5))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_7),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_7),Q_5))).
% 224.49/223.23  all X_7 Q_5 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_7),hAPP_nat_nat(suc,Q_5))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_7),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_7),Q_5))).
% 224.49/223.23  all X_7 Q_5 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_7),hAPP_nat_nat(suc,Q_5))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_7),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_7),Q_5))).
% 224.49/223.23  all A_11 N_18 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_11),hAPP_nat_nat(suc,N_18))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_11),N_18)),A_11)).
% 224.49/223.23  all A_11 N_18 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_11),hAPP_nat_nat(suc,N_18))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_11),N_18)),A_11)).
% 224.49/223.23  all A_11 N_18 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_11),hAPP_nat_nat(suc,N_18))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_11),N_18)),A_11)).
% 224.49/223.23  all A_11 N_18 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_11),hAPP_nat_nat(suc,N_18))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_11),N_18)),A_11)).
% 224.49/223.23  all A_11 N_18 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_11),hAPP_nat_nat(suc,N_18))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_11),N_18)),A_11)).
% 224.49/223.23  all A_11 N_18 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_11),hAPP_nat_nat(suc,N_18))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_11),N_18)),A_11)).
% 224.49/223.23  all A_11 N_18 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_11),hAPP_nat_nat(suc,N_18))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_11),N_18)),A_11)).
% 224.49/223.23  all A_10 N_17 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_10),hAPP_nat_nat(suc,N_17))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_10),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_10),N_17))).
% 224.49/223.23  all A_10 N_17 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_10),hAPP_nat_nat(suc,N_17))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_10),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_10),N_17))).
% 224.49/223.23  all A_10 N_17 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_10),hAPP_nat_nat(suc,N_17))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_10),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_10),N_17))).
% 224.49/223.23  all A_10 N_17 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_10),hAPP_nat_nat(suc,N_17))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_10),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_10),N_17))).
% 224.49/223.23  all A_10 N_17 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_10),hAPP_nat_nat(suc,N_17))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_10),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_10),N_17))).
% 224.49/223.23  all A_10 N_17 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_10),hAPP_nat_nat(suc,N_17))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_10),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_10),N_17))).
% 224.49/223.23  all A_10 N_17 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_10),hAPP_nat_nat(suc,N_17))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_10),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_10),N_17))).
% 224.49/223.23  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),Y_1))).
% 224.49/223.23  all M N_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))).
% 224.49/223.23  all M N_1 Z_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,N_1)),Z_1))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))),Z_1)).
% 224.49/223.23  one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 224.49/223.23  hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,X_2)),hAPP_nat_int(semiri1621563631at_int,Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))).
% 224.49/223.23  all X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,X_2)),hAPP_nat_int(semiri1621563631at_int,Y_2)))).
% 224.49/223.23  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))<-> (exists M_1 (N=hAPP_nat_nat(suc,M_1)))).
% 224.49/223.23  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))<->N=zero_zero_nat).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(suc,N)))<->Ma=zero_zero_nat| (exists J_1 (Ma=hAPP_nat_nat(suc,J_1)&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),N))))).
% 224.49/223.23  all X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))->X_1=zero_zero_nat|X_1=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.23  all Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),hAPP_nat_nat(suc,zero_zero_nat)))<->Ma=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.23  all Ma N (hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),N)<->Ma=hAPP_nat_nat(suc,zero_zero_nat)&N=zero_zero_nat|Ma=zero_zero_nat&N=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.23  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),N)=hAPP_nat_nat(suc,zero_zero_nat)<->Ma=hAPP_nat_nat(suc,zero_zero_nat)&N=zero_zero_nat|Ma=zero_zero_nat&N=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.23  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),N)=hAPP_nat_nat(suc,zero_zero_nat)<->Ma=hAPP_nat_nat(suc,zero_zero_nat)&N=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))<-> (exists K (N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),K))))).
% 224.49/223.23  all I M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),I)))).
% 224.49/223.23  all I M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I),M)))).
% 224.49/223.23  one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,Ma)))<->N=Ma)).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N_1))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N_1)))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Ma)),N))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(suc,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all N Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),Ma))).
% 224.49/223.23  all K_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))).
% 224.49/223.23  all M N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),hAPP_nat_nat(suc,M))).
% 224.49/223.23  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1))).
% 224.49/223.23  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1))).
% 224.49/223.23  all K_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K_1)),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),N))).
% 224.49/223.23  all N_1 (hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)).
% 224.49/223.23  all N_1 (hAPP_nat_nat(suc,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N_1)).
% 224.49/223.23  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1))).
% 224.49/223.23  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_1)),one_one_nat)=N_1).
% 224.49/223.23  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),one_one_nat)),N_1)).
% 224.49/223.23  all A_3 B_2 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_3),B_2))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(semiri1621563631at_int,A_3)),hAPP_nat_int(semiri1621563631at_int,B_2))).
% 224.49/223.23  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_1),Y_1))).
% 224.49/223.23  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),hAPP_nat_nat(suc,zero_zero_nat))=M).
% 224.49/223.23  all M (hAPP_nat_nat(div_mod_nat(M),hAPP_nat_nat(suc,zero_zero_nat))=zero_zero_nat).
% 224.49/223.23  all M N_1 ((hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M),N_1))=N_1->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M)),N_1)=zero_zero_nat)& (hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M),N_1))!=N_1->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M),N_1)))).
% 224.49/223.23  all X_1 N_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,X_1)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N_1))).
% 224.49/223.23  all M N_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M)),N_1)).
% 224.49/223.23  all M N_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M)),N_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N_1))).
% 224.49/223.23  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1)=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.23  all X_2 Ma (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),Ma)=hAPP_nat_nat(suc,zero_zero_nat)<->Ma=zero_zero_nat|X_2=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.23  all A_3 B_2 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(div_mod_nat(A_3),B_2))=hAPP_int_int(div_mod_int(hAPP_nat_int(semiri1621563631at_int,A_3)),hAPP_nat_int(semiri1621563631at_int,B_2))).
% 224.49/223.23  all X_1 Y_1 (hAPP_int_int(div_mod_int(hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(div_mod_nat(X_1),Y_1))).
% 224.49/223.23  all X_2 N Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))).
% 224.49/223.23  all N_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_1),hAPP_nat_nat(suc,N_1))))).
% 224.49/223.23  all X_2 N Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_2),hAPP_nat_nat(suc,N))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_2),Y_2))).
% 224.49/223.23  all X_2 N (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_2),N)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_2))&N!=zero_zero_nat).
% 224.49/223.23  all X_1 Y_1 (hAPP_int_int(nat_tsub(hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_1),Y_1))).
% 224.49/223.23  all A B (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),zOdd)))).
% 224.49/223.23  all A B (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),zEven)))).
% 224.49/223.23  all B A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),zOdd)))).
% 224.49/223.23  all B A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),B)),zEven)))).
% 224.49/223.23  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),Y_2)),zOdd)))).
% 224.49/223.23  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),Y_2)),zOdd)))).
% 224.49/223.23  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),Y_2)),zEven)))).
% 224.49/223.23  all N_16 M_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_16),M_5))->hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_5),N_16))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_nat_rat(semiri151668891at_rat,M_5)),hAPP_nat_rat(semiri151668891at_rat,N_16))).
% 224.49/223.23  all N_16 M_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_16),M_5))->hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_5),N_16))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_nat_complex(semiri2020571505omplex,M_5)),hAPP_nat_complex(semiri2020571505omplex,N_16))).
% 224.49/223.23  all N_16 M_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_16),M_5))->hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_5),N_16))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(semiri132038758t_real,M_5)),hAPP_nat_real(semiri132038758t_real,N_16))).
% 224.49/223.23  all N_16 M_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_16),M_5))->hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_5),N_16))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_5)),hAPP_nat_int(semiri1621563631at_int,N_16))).
% 224.49/223.23  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),zero_zero_int))<->N=zero_zero_nat).
% 224.49/223.23  all A_9 N_15 B_8 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_9),hAPP_nat_nat(suc,N_15))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_8),hAPP_nat_nat(suc,N_15))))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_8))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_9),B_8)))).
% 224.49/223.23  all A_9 N_15 B_8 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_9),hAPP_nat_nat(suc,N_15))),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_8),hAPP_nat_nat(suc,N_15))))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_8))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_9),B_8)))).
% 224.49/223.23  all A_9 N_15 B_8 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_9),hAPP_nat_nat(suc,N_15))),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_8),hAPP_nat_nat(suc,N_15))))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_8))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_9),B_8)))).
% 224.49/223.23  all A_9 N_15 B_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_9),hAPP_nat_nat(suc,N_15))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_8),hAPP_nat_nat(suc,N_15))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_9),B_8)))).
% 224.49/223.23  all A_9 N_15 B_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_9),hAPP_nat_nat(suc,N_15))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_8),hAPP_nat_nat(suc,N_15))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_9),B_8)))).
% 224.49/223.23  all A_9 N_15 B_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_9),hAPP_nat_nat(suc,N_15))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_8),hAPP_nat_nat(suc,N_15))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_9),B_8)))).
% 224.49/223.23  all A_8 N_14 B_7 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_8),hAPP_nat_nat(suc,N_14))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_7),hAPP_nat_nat(suc,N_14))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_8))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_7))->A_8=B_7))).
% 224.49/223.23  all A_8 N_14 B_7 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_8),hAPP_nat_nat(suc,N_14))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_7),hAPP_nat_nat(suc,N_14))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_8))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_7))->A_8=B_7))).
% 224.49/223.23  all A_8 N_14 B_7 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_8),hAPP_nat_nat(suc,N_14))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_7),hAPP_nat_nat(suc,N_14))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_8))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_7))->A_8=B_7))).
% 224.49/223.23  all A_8 N_14 B_7 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_8),hAPP_nat_nat(suc,N_14))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_7),hAPP_nat_nat(suc,N_14))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_8))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_7))->A_8=B_7))).
% 224.49/223.23  all A_8 N_14 B_7 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_8),hAPP_nat_nat(suc,N_14))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_7),hAPP_nat_nat(suc,N_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_7))->A_8=B_7))).
% 224.49/223.23  all A_8 N_14 B_7 (is_int(A_8)&is_int(B_7)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_8),hAPP_nat_nat(suc,N_14))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_7),hAPP_nat_nat(suc,N_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_8))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_7))->A_8=B_7)))).
% 224.49/223.23  all N_13 A_7 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_7))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_7),hAPP_nat_nat(suc,N_13))))).
% 224.49/223.23  all N_13 A_7 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_7))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_7),hAPP_nat_nat(suc,N_13))))).
% 224.49/223.23  all N_13 A_7 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_7))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_7),hAPP_nat_nat(suc,N_13))))).
% 224.49/223.23  all N_13 A_7 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_7))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_7),hAPP_nat_nat(suc,N_13))))).
% 224.49/223.23  all N_13 A_7 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_7),hAPP_nat_nat(suc,N_13))))).
% 224.49/223.23  all N_13 A_7 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_7),hAPP_nat_nat(suc,N_13))))).
% 224.49/223.23  all Z_1 (is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,Z_1))=Z_1)).
% 224.49/223.23  all Ma Z_2 (is_int(Z_2)-> (hAPP_nat_int(semiri1621563631at_int,Ma)=Z_2<->Ma=hAPP_int_nat(nat,Z_2)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2)))).
% 224.49/223.23  all Z_1 (is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,Z_1))=Z_1)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,Z_1))=zero_zero_int)).
% 224.49/223.23  all Ma Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_2))).
% 224.49/223.23  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1))))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),M))))).
% 224.49/223.23  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1))))).
% 224.49/223.23  all M K_2 (M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_2)-> (M!=hAPP_nat_nat(suc,zero_zero_nat)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M)))).
% 224.49/223.23  all M K_2 (M!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_2)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),K_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),K_2)))).
% 224.49/223.23  all M K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)=K_2->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),K_2)))))).
% 224.49/223.23  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)=M->N_1=hAPP_nat_nat(suc,zero_zero_nat))).
% 224.49/223.23  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(suc,zero_zero_nat)))=N_1).
% 224.49/223.23  all I N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_nat_nat(suc,I))),N_1))).
% 224.49/223.23  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),Ma))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))).
% 224.49/223.23  hAPP_int_nat(nat,one_one_int)=hAPP_nat_nat(suc,zero_zero_nat).
% 224.49/223.23  all M K_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),K_2))),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,J_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),M))).
% 224.49/223.23  all M K_2 J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),J_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,J_2),K_2)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_2)),hAPP_nat_nat(suc,J_2))).
% 224.49/223.24  all N_1 I (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),I))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,I),N_1)))).
% 224.49/223.24  all K_2 N_1 M (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1)),M))),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M)),N_1)).
% 224.49/223.24  zero_z126310315umeral=hAPP_i769753017umeral(number1443263063umeral,pls).
% 224.49/223.24  all N (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_nat_rat(semiri151668891at_rat,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.49/223.24  all N (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_n522471361de_int(semiri1424489471de_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.49/223.24  all N (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_n1108039445umeral(semiri1619134803umeral,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.49/223.24  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.49/223.24  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.49/223.24  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.49/223.24  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_2),N)),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven)))).
% 224.49/223.24  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.49/223.24  all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_2),one_one_int)),zEven))).
% 224.49/223.24  hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))=hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))).
% 224.49/223.24  all K_2 I J_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),J_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,K_2)),I)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,K_2)),J_2))))).
% 224.49/223.24  all N_12 R_6 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),R_6))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,R_6),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,R_6),hAPP_nat_nat(suc,N_12))),R_6)))).
% 224.49/223.24  all N_12 R_6 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),R_6))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,R_6),one_on1684967323de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,R_6),hAPP_nat_nat(suc,N_12))),R_6)))).
% 224.49/223.24  all N_12 R_6 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),R_6))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,R_6),one_on1645066479umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,R_6),hAPP_nat_nat(suc,N_12))),R_6)))).
% 224.49/223.24  all N_12 R_6 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_6),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_6),hAPP_nat_nat(suc,N_12))),R_6)))).
% 224.49/223.24  all N_12 R_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),R_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,R_6),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,R_6),hAPP_nat_nat(suc,N_12))),R_6)))).
% 224.49/223.24  all N_12 R_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_6),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,R_6),hAPP_nat_nat(suc,N_12))),R_6)))).
% 224.49/223.24  all N_11 A_6 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_6))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_6),one_one_rat))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_6),hAPP_nat_nat(suc,N_11))),one_one_rat)))).
% 224.49/223.24  all N_11 A_6 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_6))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_6),one_on1684967323de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_6),hAPP_nat_nat(suc,N_11))),one_on1684967323de_int)))).
% 224.49/223.24  all N_11 A_6 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_6))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_6),one_on1645066479umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_6),hAPP_nat_nat(suc,N_11))),one_on1645066479umeral)))).
% 224.49/223.24  all N_11 A_6 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_6),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_6),hAPP_nat_nat(suc,N_11))),one_one_real)))).
% 224.49/223.24  all N_11 A_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_6))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_6),one_one_nat))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_6),hAPP_nat_nat(suc,N_11))),one_one_nat)))).
% 224.49/223.24  all N_11 A_6 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_6))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_6),one_one_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_6),hAPP_nat_nat(suc,N_11))),one_one_int)))).
% 224.49/223.24  all P_1 I_1 (is_int(I_1)-> (hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_1)))<-> (all N_2 (I_1=hAPP_nat_int(semiri1621563631at_int,N_2)->hBOOL(hAPP_nat_bool(P_1,N_2))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))))).
% 224.49/223.24  all W_1 Ma (is_int(W_1)-> (hAPP_int_nat(nat,W_1)=Ma<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))->W_1=hAPP_nat_int(semiri1621563631at_int,Ma))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))->Ma=zero_zero_nat))).
% 224.49/223.24  all Ma W_1 (is_int(W_1)-> (Ma=hAPP_int_nat(nat,W_1)<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))->W_1=hAPP_nat_int(semiri1621563631at_int,Ma))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))->Ma=zero_zero_nat))).
% 224.49/223.24  all Ma V (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_int_int(number_number_of_int,V)<->Ma=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,V))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V)))).
% 224.49/223.24  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))).
% 224.49/223.24  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=hAPP_nat_nat(suc,zero_zero_nat).
% 224.49/223.24  all N_1 (hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1)).
% 224.49/223.24  all Y_6 P_6 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_6),N_10))->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_10)),P_6))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),P_6))),Y_6)).
% 224.49/223.24  all Y_6 P_6 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_6),N_10))->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_10)),P_6))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),P_6))),Y_6)).
% 224.49/223.24  all Y_6 P_6 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_6),N_10))->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_10)),P_6))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),P_6))),Y_6)).
% 224.49/223.24  all Y_6 P_6 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_6),N_10))->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_10)),P_6))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),P_6))),Y_6)).
% 224.49/223.24  all Y_6 P_6 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_6),N_10))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_10)),P_6))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),P_6))),Y_6)).
% 224.49/223.24  all Y_6 P_6 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_6),N_10))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_10)),P_6))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),P_6))),Y_6)).
% 224.49/223.24  all Y_6 P_6 N_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_6),N_10))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N_10)),P_6))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),P_6))),Y_6)).
% 224.49/223.24  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat))=N_1).
% 224.49/223.24  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->N_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat))).
% 224.49/223.24  all N_1 M ((M=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)=N_1)& (M!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),one_one_nat)),N_1)))).
% 224.49/223.24  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)=zero_zero_nat)& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1)))).
% 224.49/223.24  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1)))).
% 224.49/223.24  all M K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),K_2))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M))),K_2)=one_one_nat).
% 224.49/223.24  all A_3 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,A_3)),C_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_3),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,zero_zero_nat)),C_1))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(div_mod_nat(A_3),C_1)),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),C_1))),C_1))).
% 224.49/223.24  hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))=hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.49/223.24  all Ma W_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),W_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,W_1)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_1),hAPP_nat_int(semiri1621563631at_int,Ma))))).
% 224.49/223.24  all X_6 Y_5 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_6),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_5),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_6),Y_5)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_6),Y_5))).
% 224.49/223.24  all X_6 Y_5 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_6),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_5),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_6),Y_5)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_6),Y_5))).
% 224.49/223.24  all X_6 Y_5 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_6),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_5),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_6),Y_5)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_6),Y_5))).
% 224.49/223.24  all X_6 Y_5 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_6),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_5),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_6),Y_5)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_6),Y_5))).
% 224.49/223.24  all P_1 X_2 Y_2 (hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_2),Y_2))))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_2),X_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,X_2)),hAPP_nat_int(semiri1621563631at_int,Y_2)))))& (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))->hBOOL(hAPP_int_bool(P_1,zero_zero_int)))).
% 224.49/223.24  hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.24  hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.49/223.24  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))).
% 224.49/223.24  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))).
% 224.49/223.24  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,pls)),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))))).
% 224.49/223.24  all Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Z_2))).
% 224.49/223.24  all V_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,V_2)))->hAPP_int_nat(number_number_of_nat,V_2)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat))).
% 224.49/223.24  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.24  all M (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,M))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(div_mod_nat(M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.49/223.24  all Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hAPP_nat_nat(suc,hAPP_int_nat(nat,Z_1))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),Z_1))).
% 224.49/223.24  all M V_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M)))),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M)),hAPP_int_nat(number_number_of_nat,V_2))).
% 224.49/223.24  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M)))),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M)),N_1)).
% 224.49/223.24  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1))).
% 224.49/223.24  all M V_2 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M)))),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M)),hAPP_int_nat(number_number_of_nat,V_2))).
% 224.49/223.24  all M N_1 (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M)))),N_1)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),M)),N_1)).
% 224.49/223.24  all M N_1 (hAPP_nat_nat(div_mod_nat(M),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N_1))))=hAPP_nat_nat(div_mod_nat(M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),N_1))).
% 224.49/223.24  all P_1 Ma N (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,Ma),N)))<->N=zero_zero_nat&hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| (exists Q_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q_4)),Ma))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,Q_4))))&hBOOL(hAPP_nat_bool(P_1,Q_4))))).
% 224.49/223.24  all Q_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q_1)),Ma))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(suc,Q_1))))<->Q_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,Ma),N))).
% 224.49/223.24  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1)))).
% 224.49/223.24  all N_9 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,N_9)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_9))).
% 224.49/223.24  all N_9 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,N_9)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_9))).
% 224.49/223.24  all N_9 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_9)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_9))).
% 224.49/223.24  all V_4 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_4)))->hAPP_nat_rat(semiri151668891at_rat,hAPP_int_nat(number_number_of_nat,V_4))=hAPP_int_rat(number_number_of_rat,V_4))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_4)))->hAPP_nat_rat(semiri151668891at_rat,hAPP_int_nat(number_number_of_nat,V_4))=zero_zero_rat)).
% 224.49/223.24  all V_4 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_4)))->hAPP_nat_complex(semiri2020571505omplex,hAPP_int_nat(number_number_of_nat,V_4))=hAPP_int_complex(number528085621omplex,V_4))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_4)))->hAPP_nat_complex(semiri2020571505omplex,hAPP_int_nat(number_number_of_nat,V_4))=zero_zero_complex)).
% 224.49/223.24  all V_4 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_4)))->hAPP_nat_real(semiri132038758t_real,hAPP_int_nat(number_number_of_nat,V_4))=hAPP_int_real(number267125858f_real,V_4))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_4)))->hAPP_nat_real(semiri132038758t_real,hAPP_int_nat(number_number_of_nat,V_4))=zero_zero_real)).
% 224.49/223.24  all V_4 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_4)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_4))=hAPP_int_int(number_number_of_int,V_4))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_4)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_4))=zero_zero_int)).
% 224.49/223.24  all X_2 (is_int(X_2)-> (hBOOL(hAPP_int_bool(even_odd_even_int,X_2))<-> (exists Y (is_int(Y)&X_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Y))))).
% 224.49/223.24  all X_2 (hBOOL(hAPP_int_bool(even_odd_even_int,X_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2))).
% 224.49/223.24  all Z_2 Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,Z_2)),Ma))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_2),hAPP_nat_int(semiri1621563631at_int,Ma))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_2))->Ma=zero_zero_nat)).
% 224.49/223.24  all X_2 K_1 (X_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K_1)->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))).
% 224.49/223.24  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->N_1=zero_zero_nat|N_1=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.24  hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)).
% 224.49/223.24  all X_2 (hBOOL(hAPP_int_bool(even_odd_even_int,X_2))<->hAPP_int_int(div_mod_int(X_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int).
% 224.49/223.24  all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=X_1)).
% 224.49/223.24  one_on1645066479umeral=hAPP_i769753017umeral(number1443263063umeral,hAPP_int_int(bit1,pls)).
% 224.49/223.24  all X_5 N_8 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_5),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_8)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_5),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_5),N_8)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_5),N_8)))).
% 224.49/223.24  all N_1 (N_1!=zero_zero_nat->hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)).
% 224.49/223.24  all N_1 (N_1!=zero_zero_nat->hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)).
% 224.49/223.24  all X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))->hAPP_int_int(div_mod_int(X_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int).
% 224.49/223.24  all X_2 Y_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Y_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Y_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.24  all K_2 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_2))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K_2),M)),K_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,zero_zero_nat))))).
% 224.49/223.24  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_2),Y_2)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Y_2)).
% 224.49/223.24  all X_2 (is_int(X_2)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=X_2)).
% 224.49/223.24  all Y_2 X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_2),Y_2)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Y_2),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.24  all V_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,one_one_int),hAPP_int_int(number_number_of_int,V_3)))).
% 224.49/223.24  all Y_2 X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))-> ((hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_2),zEven)))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,X_2))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,Y_2))))).
% 224.49/223.24  all X_2 (is_int(X_2)-> (-hBOOL(hAPP_int_bool(even_odd_even_int,X_2))<-> (exists Y (is_int(Y)&X_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Y)),one_one_int))))).
% 224.49/223.24  all X_1 (-hBOOL(hAPP_int_bool(even_odd_even_int,X_1))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)).
% 224.49/223.24  all X_1 (hBOOL(hAPP_int_bool(even_odd_even_int,X_1))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.49/223.24  all N_1 (N_1!=zero_zero_nat->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)),one_one_nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)).
% 224.49/223.24  all M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M))->hAPP_nat_nat(suc,hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M),one_one_int))).
% 224.49/223.24  all X_2 (is_int(X_2)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))-> -(all K (is_int(K)->X_2!=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),K))))).
% 224.49/223.24  all I_1 P_1 P_5 ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),P_5))-> (hBOOL(hAPP_nat_bool(P_1,I_2))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,I_2)),P_5))))))-> (hBOOL(hAPP_nat_bool(P_1,I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),P_5))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))))).
% 224.49/223.24  all N_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (exists R_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_1))&hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_1),hAPP_nat_nat(suc,N_1))=A_3))).
% 224.49/223.24  all K_2 (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_2))-> (exists N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))&K_2=hAPP_nat_int(semiri1621563631at_int,N_2))))).
% 224.49/223.24  all J I_1 P_1 P_5 ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),P_5))-> (hBOOL(hAPP_nat_bool(P_1,I_2))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,I_2)),P_5))))))-> (hBOOL(hAPP_nat_bool(P_1,I_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_1),P_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J),P_5))->hBOOL(hAPP_nat_bool(P_1,J)))))).
% 224.49/223.24  all N N_7 F ((all N_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,N_7))))).
% 224.49/223.24  all Ma N (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,N)<->Ma=N).
% 224.49/223.24  all X_2 Y_2 P_1 ((hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,X_2)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,P_1),X_2),Y_2)))& (-hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Y_2)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,P_1),X_2),Y_2)))).
% 224.49/223.24  all X_2 Y_2 (hAPP_nat_int(semiri1621563631at_int,X_2)=hAPP_nat_int(semiri1621563631at_int,Y_2)<->X_2=Y_2).
% 224.49/223.24  all N_1 I ((I=zero_z126310315umeral->hAPP_nat_nat(code_nat_of_aux(I),N_1)=N_1)& (I!=zero_z126310315umeral->hAPP_nat_nat(code_nat_of_aux(I),N_1)=hAPP_nat_nat(code_nat_of_aux(hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,I),one_on1645066479umeral)),hAPP_nat_nat(suc,N_1)))).
% 224.49/223.24  all Z_1 (is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))-> -(all M_1 (Z_1!=hAPP_nat_int(semiri1621563631at_int,M_1))))).
% 224.49/223.24  all K_2 (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))-> -(all N_2 (K_2!=hAPP_nat_int(semiri1621563631at_int,N_2))))).
% 224.49/223.24  all K_2 (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))-> (exists N_2 (K_2=hAPP_nat_int(semiri1621563631at_int,N_2))))).
% 224.49/223.24  all P_1 I_1 J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_1),J))-> (hBOOL(hAPP_nat_bool(P_1,J))-> ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),J))-> (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,I_2)))->hBOOL(hAPP_nat_bool(P_1,I_2)))))->hBOOL(hAPP_nat_bool(P_1,I_1))))).
% 224.49/223.24  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))-> (exists K (N_1=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K))))).
% 224.49/223.24  all N N_7 F ((all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))),hAPP_nat_nat(F,N_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,N_7)))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_7)),hAPP_nat_nat(F,N))))).
% 224.49/223.24  all N Ma F ((all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_2)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,N_2))),hAPP_nat_nat(F,N_2)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N)),hAPP_nat_nat(F,Ma)))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,Ma)),hAPP_nat_nat(F,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma)))).
% 224.49/223.24  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (exists M_1 (N_1=hAPP_nat_nat(suc,M_1)))).
% 224.49/223.24  all V_3 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_nat_nat(suc,zero_zero_nat))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(number_number_of_int,V_3))))).
% 224.49/223.24  all P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))->hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(sRStar,P_5)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)).
% 224.49/223.24  all Z_1 (is_int(Z_1)-> -(all M_1 N_2 (Z_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_1)),hAPP_nat_int(semiri1621563631at_int,N_2))))).
% 224.49/223.24  all I_1 P_1 K_1 (hBOOL(hAPP_nat_bool(P_1,K_1))-> ((all N_2 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_2)))->hBOOL(hAPP_nat_bool(P_1,N_2))))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K_1),I_1))))).
% 224.49/223.24  all N_1 M_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N_1)),M_4))-> (exists M_1 (M_4=hAPP_nat_nat(suc,M_1)))).
% 224.49/223.24  -hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)).
% 224.49/223.24  -hBOOL(hAPP_int_bool(nat_neg,one_one_int)).
% 224.49/223.24  all N_1 (-hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N_1)))).
% 224.49/223.24  all Z_5 (hBOOL(hAPP_int_bool(nat_neg,Z_5))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_5),zero_zero_int))).
% 224.49/223.24  all X_2 (-hBOOL(hAPP_int_bool(nat_neg,X_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))).
% 224.49/223.24  all W_1 (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_1))))<->hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W_1)))).
% 224.49/223.24  -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,pls))).
% 224.49/223.24  all W_1 (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W_1))))<->hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W_1)))).
% 224.49/223.24  all Z_1 (hBOOL(hAPP_int_bool(nat_neg,Z_1))->hAPP_int_nat(nat,Z_1)=zero_zero_nat).
% 224.49/223.24  hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,min))).
% 224.49/223.24  all Z_1 (is_int(Z_1)-> (-hBOOL(hAPP_int_bool(nat_neg,Z_1))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,Z_1))=Z_1)).
% 224.49/223.24  all V_2 (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_int_nat(number_number_of_nat,V_2)=zero_zero_nat).
% 224.49/223.24  all V V_1 (is_int(V)&is_int(V_1)-> (hAPP_int_nat(number_number_of_nat,V)=hAPP_int_nat(number_number_of_nat,V_1)<-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V_1)),zero_zero_int)))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_int_int(number_number_of_int,V)=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->V=V_1)))).
% 224.49/223.24  all V_3 K_2 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),K_2))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_3)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),V_3))),K_2)))).
% 224.49/223.24  all V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_int(number_number_of_int,V_2))).
% 224.49/223.24  all V_3 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,V_3))))).
% 224.49/223.24  all W V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,W))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,W)))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,W))=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_nat(number_number_of_nat,W))))).
% 224.49/223.24  all N_1 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),N_1))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,V_2)),N_1)))).
% 224.49/223.24  all V_3 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(number_number_of_nat,V_2))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_3)))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_2)),hAPP_int_nat(number_number_of_nat,V_3))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,V_3)))))).
% 224.49/223.24  all J A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(J),zero_zero_int),P_5))->hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(multInvPair(A,P_5),J))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.24  all A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A))-> (all X (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X),setS(A,P_5)))->hAPP_f957591787ol_nat(finite_card_int,X)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.49/223.24  all N_1 V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N_1))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2))),N_1))).
% 224.49/223.24  all I K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),K_2))-> (K_2!=hAPP_nat_nat(suc,I)-> -(all J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_1))->K_2!=hAPP_nat_nat(suc,J_1))))).
% 224.49/223.24  all I K_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,I)),K_2))-> -(all J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_1))->K_2!=hAPP_nat_nat(suc,J_1)))).
% 224.49/223.24  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)))))).
% 224.49/223.24  hAPP_int_int(succ,pls)=hAPP_int_int(bit1,pls).
% 224.49/223.24  all K_2 (hAPP_int_int(succ,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit1,K_2)).
% 224.49/223.24  all K_2 (hAPP_int_int(succ,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit0,hAPP_int_int(succ,K_2))).
% 224.49/223.24  all K_2 (hAPP_int_int(succ,K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)).
% 224.49/223.24  hAPP_int_int(succ,min)=pls.
% 224.49/223.24  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),min)=hAPP_int_int(succ,K_2)).
% 224.49/223.24  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(bit1,K_2)),hAPP_int_int(bit1,L_2))=hAPP_int_int(bit0,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),hAPP_int_int(succ,L_2)))).
% 224.49/223.24  all V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,V_2))=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)))).
% 224.49/223.24  all V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)))).
% 224.49/223.24  all V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(suc,hAPP_int_nat(number_number_of_nat,V_2))=one_one_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(suc,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_2)))).
% 224.49/223.24  all A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A))->hAPP_nat_int(semiri1621563631at_int,hAPP_f521865025ol_nat(finite1876863882t_bool,setS(A,P_5)))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.24  all A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),P_5))->comple219730294t_bool(setS(A,P_5))=hAPP_i1948725293t_bool(sRStar,P_5)))).
% 224.49/223.24  all X_1 Y_1 Xa_2 Ya hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.49/223.24  all N_1 (N_1!=zero_zero_nat-> (exists M_1 (N_1=hAPP_nat_nat(suc,M_1)))).
% 224.49/223.24  all N P_1 (hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> ((all N_2 (hBOOL(hAPP_nat_bool(P_1,N_2))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_2)))))->hBOOL(hAPP_nat_bool(P_1,N)))).
% 224.49/223.24  all P_1 K_1 (hBOOL(hAPP_nat_bool(P_1,K_1))-> ((all N_2 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_2)))->hBOOL(hAPP_nat_bool(P_1,N_2))))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))).
% 224.49/223.24  all X_2 Y_2 (hAPP_real_real(sqrt,X_2)=hAPP_real_real(sqrt,Y_2)<->X_2=Y_2).
% 224.49/223.24  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_2)),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2))).
% 224.49/223.24  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_1)))).
% 224.49/223.24  hAPP_real_real(sqrt,zero_zero_real)=zero_zero_real.
% 224.49/223.24  all X_2 (hAPP_real_real(sqrt,X_2)=zero_zero_real<->X_2=zero_zero_real).
% 224.49/223.24  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_1)))).
% 224.49/223.25  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_2)),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2))).
% 224.49/223.25  all X_1 Y_1 (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_1))).
% 224.49/223.25  all X_1 K_2 (hAPP_real_real(sqrt,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),K_2))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X_1)),K_2)).
% 224.49/223.25  hAPP_real_real(sqrt,one_one_real)=one_one_real.
% 224.49/223.25  all X_2 (hAPP_real_real(sqrt,X_2)=one_one_real<->X_2=one_one_real).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hAPP_real_real(sqrt,X_1)=zero_zero_real->X_1=zero_zero_real)).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,X_1)))).
% 224.49/223.25  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),zero_zero_real))).
% 224.49/223.25  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,X_1)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(sqrt,X_1)!=zero_zero_real).
% 224.49/223.25  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real))).
% 224.49/223.25  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))).
% 224.49/223.25  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_2))).
% 224.49/223.25  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X_2)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),one_one_real))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(sqrt,X_1)))).
% 224.49/223.25  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X_2)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),one_one_real))).
% 224.49/223.25  all Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(sqrt,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Y_2))).
% 224.49/223.25  all X_1 Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_1),Y_1))))).
% 224.49/223.25  all X_1 Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_1),Y_1))))).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  all Y_1 X_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=X_1-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))->hAPP_real_real(sqrt,X_1)=Y_1)).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=X_1).
% 224.49/223.25  all X_2 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=X_2<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.25  all A_3 C_1 B_2 D_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_3),C_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_2),D_3)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,C_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,D_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.49/223.25  all Y_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all X_1 Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all X_1 Y_1 (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=Y_1->X_1=zero_zero_real).
% 224.49/223.25  all X_1 Y_1 (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=X_1->Y_1=zero_zero_real).
% 224.49/223.25  all X_1 Y_1 Xa_2 Ya (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.25  all X_1 Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all Y_1 X_1 U_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),U_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,U_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,U_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),U_1))))))).
% 224.49/223.25  all A P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,comple219730294t_bool(setS(A,P_5))))).
% 224.49/223.25  all Y_1 (Y_1!=zero_zero_nat-> -(all Nat_1 (Y_1!=hAPP_nat_nat(suc,Nat_1)))).
% 224.49/223.25  all R_3 A_3 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),A_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),R_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_3),R_3)).
% 224.49/223.25  all X_1 Y_1 (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sqrt,X_1)),hAPP_real_real(sqrt,Y_1))).
% 224.49/223.25  all A P_5 hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(wset(A),P_5))).
% 224.49/223.25  all A P_5 X (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X),setS(A,P_5)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X))).
% 224.49/223.25  all A hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(d22set,A))).
% 224.49/223.25  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_2),Y_2)))<-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)))& (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),zero_zero_real)))).
% 224.49/223.25  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.25  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Y_1))).
% 224.49/223.25  all P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(sRStar,P_5)))).
% 224.49/223.25  all U_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),U_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,U_1),hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),U_1))).
% 224.49/223.25  all A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_3),B_2)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),A_3)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_2),A_3)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.49/223.25  all B_2 A_3 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_2),A_3)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),A_3)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_2),A_3)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.49/223.25  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=X_1).
% 224.49/223.25  all X_2 Y_2 Z_2 (X_2=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Z_2))<->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_2),Z_2)).
% 224.49/223.25  all B_2 A_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_2),A_3))),hAPP_complex_real(norm_norm_complex,B_2))),hAPP_complex_real(norm_norm_complex,A_3))).
% 224.49/223.25  all A P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))->hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,setS(A,P_5)))).
% 224.49/223.25  all K_1 L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),L))<-> (exists N_2 (L=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),N_2)))).
% 224.49/223.25  all F A B (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,A)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B)),hAPP_real_real(F,A))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A))),A))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B)),hAPP_real_real(F,A))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A))),B))).
% 224.49/223.25  all X_1 (hAPP_real_real(arctan,X_1)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(arctan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))))).
% 224.49/223.25  all Ma No F ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),hAPP_nat_real(F,hAPP_nat_nat(suc,N_2)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,Ma)),hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),No))))).
% 224.49/223.25  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arctan,X_1)),hAPP_real_real(arctan,Y_1)))).
% 224.49/223.25  hAPP_real_real(arctan,zero_zero_real)=zero_zero_real.
% 224.49/223.25  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,X_1)),hAPP_real_real(arctan,Y_1)))).
% 224.49/223.25  all X_1 N_1 (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,N_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_int_real(number267125858f_real,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X_1)),hAPP_int_nat(number_number_of_nat,N_1)))).
% 224.49/223.25  all Y_1 X_1 U_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,U_1),hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,U_1),hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),U_1)))).
% 224.49/223.25  all X_1 Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),one_one_real)).
% 224.49/223.25  all X_1 N_1 (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,N_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_int_real(number267125858f_real,N_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X_1)),hAPP_int_nat(number_number_of_nat,N_1)))).
% 224.49/223.25  all R_3 (hAPP_real_real(norm_norm_real,R_3)=hAPP_real_real(abs_abs_real,R_3)).
% 224.49/223.25  all X_1 (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1))=hAPP_real_real(abs_abs_real,X_1)).
% 224.49/223.25  natfloor(zero_zero_real)=zero_zero_nat.
% 224.49/223.25  all X_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natfloor(X_1))).
% 224.49/223.25  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natfloor(X_1)),natfloor(Y_1)))).
% 224.49/223.25  all N_1 (natfloor(hAPP_int_real(number267125858f_real,N_1))=hAPP_int_nat(number_number_of_nat,N_1)).
% 224.49/223.25  natfloor(one_one_real)=one_one_nat.
% 224.49/223.25  natceiling(zero_zero_real)=zero_zero_nat.
% 224.49/223.25  all X_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natceiling(X_1))).
% 224.49/223.25  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),natceiling(Y_1)))).
% 224.49/223.25  all N_1 (natceiling(hAPP_int_real(number267125858f_real,N_1))=hAPP_int_nat(number_number_of_nat,N_1)).
% 224.49/223.25  natceiling(one_one_real)=one_one_nat.
% 224.49/223.25  all X_1 Y_1 C_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_1),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_1),hAPP_real_real(abs_abs_real,Y_1))))->X_1=zero_zero_real)).
% 224.49/223.25  all X_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real)),X_1))).
% 224.49/223.25  all U_1 V_2 X_1 Y_1 (X_1=Y_1-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,U_1)),V_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),U_1)),Y_1))),V_2)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))->natfloor(X_1)=zero_zero_nat).
% 224.49/223.25  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_real_real(abs_abs_real,X_1)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))->natceiling(X_1)=zero_zero_nat).
% 224.49/223.25  all X_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),natfloor(X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_2))).
% 224.49/223.25  all X_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_2)),one_one_nat))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),one_one_real))).
% 224.49/223.25  all X_1 (hAPP_real_real(sqrt,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_real_real(abs_abs_real,X_1)).
% 224.49/223.25  all B_2 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,natfloor(A_3)),natfloor(B_2))),natfloor(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),B_2)))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_real))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),one_one_real))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X_1)),one_one_nat)).
% 224.49/223.25  all X_1 Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all Y_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Y_1)),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,Y_1)),one_one_real))->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(arctan,X_1)),hAPP_real_real(arctan,Y_1))=hAPP_real_real(arctan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_1)))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),one_one_real))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X_1)),one_one_nat)).
% 224.49/223.25  all X_2 N (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,N)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,N)),natfloor(X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,N)),X_2))))).
% 224.49/223.25  all X_2 N (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,N)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_2)),hAPP_int_nat(number_number_of_nat,N)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),hAPP_int_real(number267125858f_real,N)))))).
% 224.49/223.25  all B_2 A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),B_2))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y))),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_3),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),B_2)))))))).
% 224.49/223.25  all B_2 A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),B_2))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y))),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),B_2)))))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1))),X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_real_real(arctan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_real_real(arctan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,hAPP_int_int(bit1,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))))))))).
% 224.49/223.25  pi!=zero_zero_real.
% 224.49/223.25  all M (hAPP_int_int(abs_abs_int,hAPP_nat_int(semiri1621563631at_int,M))=hAPP_nat_int(semiri1621563631at_int,M)).
% 224.49/223.25  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_3),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_2),A_3))->hAPP_int_int(abs_abs_int,A_3)=hAPP_int_int(abs_abs_int,B_2))).
% 224.49/223.25  all D_3 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(abs_abs_int,D_3)),D_3)).
% 224.49/223.25  all D_3 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),hAPP_int_int(abs_abs_int,D_3))).
% 224.49/223.25  all M N_1 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1))=one_one_int->hAPP_int_int(abs_abs_int,M)=one_one_int).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),pi)).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),pi)).
% 224.49/223.25  -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,pi),zero_zero_real)).
% 224.49/223.25  all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_2),one_one_int))<->hAPP_int_int(abs_abs_int,X_2)=one_one_int).
% 224.49/223.25  all X_1 (hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,X_1)))=hAPP_int_int(abs_abs_int,X_1)).
% 224.49/223.25  all Y_2 X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_2)),hAPP_real_real(ln,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2))))).
% 224.49/223.25  all Y_2 X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hAPP_real_real(ln,X_2)=hAPP_real_real(ln,Y_2)<->X_2=Y_2))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_1)),X_1))).
% 224.49/223.25  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Y_1),X_1))->hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),Y_1))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(abs_abs_int,X_1)),hAPP_int_int(abs_abs_int,Y_1))).
% 224.49/223.25  hAPP_real_real(ln,one_one_real)=zero_zero_real.
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hAPP_real_real(ln,X_1)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),one_one_real)->X_1=one_one_real)).
% 224.49/223.25  all Z_2 (is_int(Z_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,Z_2)),one_one_int))<->Z_2=zero_zero_int)).
% 224.49/223.25  all D_3 I (is_int(I)-> (I!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),I))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,D_3)),hAPP_int_int(abs_abs_int,I)))))).
% 224.49/223.25  all X_1 N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,X_1)),N_1))).
% 224.49/223.25  all W Z_1 (hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,W),Z_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,W))),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_1)))).
% 224.49/223.25  all Z_2 (is_int(Z_2)-> (hAPP_int_int(abs_abs_int,Z_2)=one_one_int<->Z_2=one_one_int|Z_2=hAPP_int_int(number_number_of_int,min))).
% 224.49/223.25  all Y_2 X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X_2)),hAPP_real_real(ln,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,X_1)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,X_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_1)),zero_zero_real)))).
% 224.49/223.25  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),one_one_real)))).
% 224.49/223.25  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hAPP_real_real(ln,X_2)=zero_zero_real<->X_2=one_one_real)).
% 224.49/223.25  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_2)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,X_1)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X_1)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),one_one_real)))).
% 224.49/223.25  all X_2 N (is_int(X_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,X_2)),N)))<->X_2!=zero_zero_int|N=zero_zero_nat)).
% 224.49/223.25  all X_1 (hAPP_int_int(abs_abs_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 224.49/223.25  all N Ma (is_int(Ma)-> (Ma!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),N)),Ma))<->hAPP_int_int(abs_abs_int,N)=one_one_int))).
% 224.49/223.25  all Z_2 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_2),hAPP_nat_int(semiri1621563631at_int,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_2))),Ma))).
% 224.49/223.25  all Ma Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Ma)),Z_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Z_2))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,X_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1)))).
% 224.49/223.25  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_2)))).
% 224.49/223.25  all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,Y_1)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1))),X_1))).
% 224.49/223.25  all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,Y_1)))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1))),X_1))).
% 224.49/223.25  all A B (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))<->hAPP_int_int(abs_abs_int,A)=hAPP_int_int(abs_abs_int,B)).
% 224.49/223.25  all A_3 (hAPP_int_int(abs_abs_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,A_3)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),pi)).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))).
% 224.49/223.25  all A_3 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_int->hAPP_int_int(abs_abs_int,A_3)=one_one_int).
% 224.49/223.25  all X_1 Z_1 D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Z_1))),one_one_int)),D_3))),Z_1))).
% 224.49/223.25  all Z_1 X_1 D_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Z_1))),one_one_int)),D_3))))).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.49/223.25  hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_real.
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  all Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  hAPP_real_real(arctan,one_one_real)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1)))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1))),X_1))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all Y_2 X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_2))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> (exists N_2 (is_int(N_2)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_2),X_2))))),X_2)))))).
% 224.49/223.25  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X_1))-> (exists N_2 (is_int(N_2)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_2),X_1))))),X_1))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1))),X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.49/223.25  all K_1 F N (is_int(K_1)-> ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N))&hAPP_nat_int(F,I_2)=K_1)))))).
% 224.49/223.25  all K_1 F N (is_int(K_1)-> ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,zero_zero_nat)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N))&hAPP_nat_int(F,I_2)=K_1)))))).
% 224.49/223.25  all X_1 (hAPP_real_real(sqrt,hAPP_real_real(uminus_uminus_real,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sqrt,X_1))).
% 224.49/223.25  all X_1 (hAPP_real_real(arctan,hAPP_real_real(uminus_uminus_real,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(arctan,X_1))).
% 224.49/223.25  all U_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_1),U_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),X_1))).
% 224.49/223.25  all X_2 A (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),hAPP_real_real(uminus_uminus_real,A))=zero_zero_real<->X_2=A).
% 224.49/223.25  all X_2 Y_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Y_2)=zero_zero_real<->Y_2=hAPP_real_real(uminus_uminus_real,X_2)).
% 224.49/223.25  all X_2 R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_2)),R_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,R_2)),X_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),R_2))).
% 224.49/223.25  all R_3 S_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),S_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),hAPP_real_real(uminus_uminus_real,S_1))).
% 224.49/223.25  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(uminus_uminus_real,Y_1))).
% 224.49/223.25  all X_1 Y_1 (hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(uminus_uminus_real,Y_1)))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y_1),hAPP_real_real(uminus_uminus_real,X_1)))).
% 224.49/223.25  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_complex_real(norm_norm_complex,X_1))),hAPP_complex_real(norm_norm_complex,X_1))).
% 224.49/223.25  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Y_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),hAPP_real_real(uminus_uminus_real,X_2)))).
% 224.49/223.25  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,X_2)),Y_2))).
% 224.49/223.25  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Y_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(uminus_uminus_real,X_2)))).
% 224.49/223.25  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,X_2)),Y_2))).
% 224.49/223.25  all R_3 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))->hAPP_real_real(abs_abs_real,R_3)=hAPP_real_real(uminus_uminus_real,R_3))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))->hAPP_real_real(abs_abs_real,R_3)=R_3)).
% 224.49/223.25  all A_3 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),zero_zero_real))->hAPP_real_real(abs_abs_real,A_3)=hAPP_real_real(uminus_uminus_real,A_3))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),zero_zero_real))->hAPP_real_real(abs_abs_real,A_3)=A_3)).
% 224.49/223.25  all X_1 Y_1 L_2 M hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(uminus_uminus_real,L_2)),hAPP_real_real(uminus_uminus_real,M))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(uminus_uminus_real,L_2)))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y_1),hAPP_real_real(uminus_uminus_real,M)))))).
% 224.49/223.25  all U_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,U_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),X_1))),hAPP_real_real(uminus_uminus_real,X_1))))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),X_1)))))).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),pi))),pi)).
% 224.49/223.25  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_real)).
% 224.49/223.25  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arctan,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.49/223.25  all Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arctan,Y_1))).
% 224.49/223.25  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(uminus_uminus_real,X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),X_1)))))).
% 224.49/223.25  all K_1 F N Ma (is_int(K_1)-> ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),I_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),one_one_nat))),hAPP_nat_int(F,I_2)))),one_one_int))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,Ma)),K_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),hAPP_nat_int(F,N)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),I_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),N))&hAPP_nat_int(F,I_2)=K_1))))))).
% 224.49/223.25  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arcsin,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arcsin,Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arcsin,Y_1))))).
% 224.49/223.25  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arcsin,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arcsin,Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arcsin,Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.25  all N_1 M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1))),hAPP_nat_int(semiri1621563631at_int,M))).
% 224.49/223.25  all N_1 M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1)))),hAPP_nat_int(semiri1621563631at_int,M))).
% 224.49/223.25  hAPP_int_int(uminus_uminus_int,pls)=pls.
% 224.49/223.25  all K_2 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit0,hAPP_int_int(uminus_uminus_int,K_2))).
% 224.49/223.25  hAPP_int_int(uminus_uminus_int,zero_zero_int)=zero_zero_int.
% 224.49/223.25  all Z_1 W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(uminus_uminus_int,Z_1)),W)=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),W))).
% 224.49/223.25  all W (hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(uminus_uminus_int,W))).
% 224.49/223.25  all Z_1 W (hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,Z_1)),hAPP_int_int(uminus_uminus_int,W))).
% 224.49/223.25  all Z_1 (is_int(Z_1)->hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,Z_1))=Z_1).
% 224.49/223.25  all A B Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),hAPP_int_int(uminus_uminus_int,Ma)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))).
% 224.49/223.25  all D Ta (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Ta))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(uminus_uminus_int,D)),Ta))).
% 224.49/223.25  all D Ta (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),Ta))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(uminus_uminus_int,Ta)))).
% 224.49/223.25  all A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(uminus_uminus_int,B_2))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_3)),B_2)).
% 224.49/223.25  all A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_3)),hAPP_int_int(uminus_uminus_int,B_2))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)).
% 224.49/223.25  all A_3 B_2 (hAPP_int_int(div_mod_int(A_3),hAPP_int_int(uminus_uminus_int,B_2))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_3)),B_2))).
% 224.49/223.25  all A_3 B_2 (hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_3)),hAPP_int_int(uminus_uminus_int,B_2))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(A_3),B_2))).
% 224.49/223.25  all X_1 M (hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(X_1),M))),M)=hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,X_1)),M)).
% 224.49/223.25  all X_2 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(uminus_uminus_int,X_2)))<->hBOOL(hAPP_int_bool(even_odd_even_int,X_2))).
% 224.49/223.25  all X_1 Y_1 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),Y_1)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),hAPP_complex_complex(uminus473333897omplex,Y_1))).
% 224.49/223.25  all Z_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(uminus_uminus_int,Z_1)),Z_1)=zero_zero_int).
% 224.49/223.25  all N Ma (hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,Ma)<->N=zero_zero_nat&Ma=zero_zero_nat).
% 224.49/223.25  all N_1 M (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_1)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,M))))).
% 224.49/223.25  min=hAPP_int_int(uminus_uminus_int,one_one_int).
% 224.49/223.25  all K_2 L_2 (hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,K_2)),L_2)!=zero_zero_int->hAPP_int_int(div_mod_int(K_2),L_2)!=zero_zero_int).
% 224.49/223.25  all K_2 L_2 (hAPP_int_int(div_mod_int(K_2),hAPP_int_int(uminus_uminus_int,L_2))!=zero_zero_int->hAPP_int_int(div_mod_int(K_2),L_2)!=zero_zero_int).
% 224.49/223.25  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,min),K_2)=hAPP_int_int(uminus_uminus_int,K_2)).
% 224.49/223.25  all Z_1 W (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_1),W)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),hAPP_int_int(uminus_uminus_int,W))).
% 224.49/223.25  all Z_1 W (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),hAPP_int_int(uminus_uminus_int,W))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_1),W)).
% 224.49/223.25  hAPP_int_int(uminus_uminus_int,min)=hAPP_int_int(bit1,pls).
% 224.49/223.25  all N Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,Ma))))<->N=zero_zero_nat&Ma=zero_zero_nat).
% 224.49/223.25  all N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1))),zero_zero_int)).
% 224.49/223.25  all N_1 (hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1)))=zero_zero_nat).
% 224.49/223.25  all I (is_int(I)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),zero_zero_int))->hAPP_int_int(abs_abs_int,I)=hAPP_int_int(uminus_uminus_int,I))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I),zero_zero_int))->hAPP_int_int(abs_abs_int,I)=I)).
% 224.49/223.25  all V_2 W (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_2)),hAPP_int_int(number_number_of_int,W))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_2),hAPP_int_int(uminus_uminus_int,W)))).
% 224.49/223.25  all A_3 B_2 ((hAPP_int_int(div_mod_int(A_3),B_2)=zero_zero_int->hAPP_int_int(div_mod_int(A_3),hAPP_int_int(uminus_uminus_int,B_2))=zero_zero_int)& (hAPP_int_int(div_mod_int(A_3),B_2)!=zero_zero_int->hAPP_int_int(div_mod_int(A_3),hAPP_int_int(uminus_uminus_int,B_2))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(A_3),B_2)),B_2))).
% 224.49/223.25  all A_3 B_2 ((hAPP_int_int(div_mod_int(A_3),B_2)=zero_zero_int->hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_3)),B_2)=zero_zero_int)& (hAPP_int_int(div_mod_int(A_3),B_2)!=zero_zero_int->hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,A_3)),B_2)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_2),hAPP_int_int(div_mod_int(A_3),B_2)))).
% 224.49/223.25  all A_3 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(number_number_of_int,min))=hAPP_int_int(uminus_uminus_int,A_3)).
% 224.49/223.25  all N_1 hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))))).
% 224.49/223.25  all N_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1)))),zero_zero_int)).
% 224.49/223.25  all N_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1)))))).
% 224.49/223.25  all A_3 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,A_3)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))).
% 224.49/223.25  all Z_4 Z_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),zero_zero_int))->hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),Z_4))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,Z_1))),hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,Z_4)))).
% 224.49/223.26  all A_3 B_2 (is_int(B_2)-> (B_2!=zero_zero_int-> (hAPP_int_int(div_mod_int(A_3),B_2)=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_3)),B_2)=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)))& (hAPP_int_int(div_mod_int(A_3),B_2)!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(uminus_uminus_int,A_3)),B_2)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2))),one_one_int)))).
% 224.49/223.26  all A_3 B_2 (is_int(B_2)-> (B_2!=zero_zero_int-> (hAPP_int_int(div_mod_int(A_3),B_2)=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(uminus_uminus_int,B_2))=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)))& (hAPP_int_int(div_mod_int(A_3),B_2)!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(uminus_uminus_int,B_2))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2))),one_one_int)))).
% 224.49/223.26  all A X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,A)),hAPP_int_nat(nat,X_2))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),hAPP_int_nat(nat,X_2)))).
% 224.49/223.26  all A X_2 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,A)),hAPP_int_nat(nat,X_2))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),hAPP_int_nat(nat,X_2))))).
% 224.49/223.26  all A B Q_1 R_2 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A,B),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2)))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(uminus_uminus_int,A),B),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,R_2),zero_zero_int)),hAPP_int_int(uminus_uminus_int,Q_1)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(uminus_uminus_int,Q_1)),one_one_int))),hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,R_2),zero_zero_int)),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B),R_2)))))).
% 224.49/223.26  all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),zero_zero_int))-> (exists N_2 (X_1=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2))))))).
% 224.49/223.26  all X_1 (X_1!=zero_zero_real->hAPP_real_real(arctan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),X_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sgn_sgn_real,X_1)),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_real_real(arctan,X_1))).
% 224.49/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hAPP_real_real(cos,hAPP_real_real(arcsin,X_1))=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.49/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X_1)),X_1))).
% 224.49/223.26  all X_1 (hAPP_real_real(cos,hAPP_real_real(uminus_uminus_real,X_1))=hAPP_real_real(cos,X_1)).
% 224.49/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,X_1)),one_one_real)).
% 224.49/223.26  hAPP_real_real(cos,zero_zero_real)=one_one_real.
% 224.49/223.26  all X_1 (hAPP_real_real(cos,hAPP_real_real(arctan,X_1))!=zero_zero_real).
% 224.49/223.26  all X_1 (hAPP_real_real(sgn_sgn_real,X_1)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),hAPP_real_real(abs_abs_real,X_1))).
% 224.49/223.26  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),pi))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,X_1)),hAPP_real_real(cos,Y_1)))))).
% 224.49/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),hAPP_real_real(cos,X_1))).
% 224.49/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(cos,X_1))),one_one_real)).
% 224.49/223.26  hAPP_real_real(cos,pi)=hAPP_int_real(number267125858f_real,min).
% 224.49/223.26  all X_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),pi))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(cos,X_1))).
% 224.49/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(sgn_sgn_real,X_1)=one_one_real).
% 224.49/223.26  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),pi))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(cos,X_1)),hAPP_real_real(cos,Y_1)))))).
% 224.49/223.26  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,pi)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,Y_1)),hAPP_real_real(cos,X_1)))))).
% 224.49/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))->hAPP_real_real(sgn_sgn_real,X_1)=hAPP_int_real(number267125858f_real,min)).
% 224.49/223.26  all A_3 ((A_3=zero_zero_real->hAPP_real_real(sgn_sgn_real,A_3)=zero_zero_real)& (A_3!=zero_zero_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))->hAPP_real_real(sgn_sgn_real,A_3)=one_one_real)& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))->hAPP_real_real(sgn_sgn_real,A_3)=hAPP_real_real(uminus_uminus_real,one_one_real)))).
% 224.49/223.26  all X_1 ((X_1=zero_zero_real->hAPP_real_real(sgn_sgn_real,X_1)=zero_zero_real)& (X_1!=zero_zero_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(sgn_sgn_real,X_1)=one_one_real)& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(sgn_sgn_real,X_1)=hAPP_real_real(uminus_uminus_real,one_one_real)))).
% 224.49/223.26  hAPP_real_real(cos,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_real.
% 224.49/223.26  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,pi)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(cos,Y_1)),hAPP_real_real(cos,X_1)))))).
% 224.49/223.26  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_real)).
% 224.49/223.26  hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(cos,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_real)).
% 224.49/223.26  hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real.
% 224.58/223.26  hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),pi))=one_one_real.
% 224.58/223.26  all X_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),pi)))=hAPP_real_real(cos,X_1)).
% 224.58/223.26  hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.58/223.26  hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.58/223.26  hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))),one_one_real)))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(cos,X_1))))).
% 224.58/223.26  hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),pi))=zero_zero_real.
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(cos,X_1))))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(cos,X_1))))).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))-> (exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),pi))&hAPP_real_real(cos,X)=Y_1& (all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),pi))&hAPP_real_real(cos,Y)=Y_1->Y=X)))))).
% 224.58/223.26  exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))&hAPP_real_real(cos,X)=zero_zero_real& (all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))&hAPP_real_real(cos,Y)=zero_zero_real->Y=X))).
% 224.58/223.26  all X_1 (hAPP_real_real(cos,X_1)!=zero_zero_real-> (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))!=zero_zero_real->hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(tan,X_1))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(tan,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.26  all X_4 Y_4 (hAPP_real_real(cos,hAPP_real_real(arccos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.26  all X_1 (hAPP_real_real(tan,hAPP_real_real(uminus_uminus_real,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(tan,X_1))).
% 224.58/223.26  hAPP_real_real(tan,zero_zero_real)=zero_zero_real.
% 224.58/223.26  all Y_1 (hAPP_real_real(tan,hAPP_real_real(arctan,Y_1))=Y_1).
% 224.58/223.26  hAPP_real_real(tan,pi)=zero_zero_real.
% 224.58/223.26  all X_1 (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),pi))=hAPP_real_real(tan,X_1)).
% 224.58/223.26  all X_1 N_1 (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,N_1)),pi)))=hAPP_real_real(tan,X_1)).
% 224.58/223.26  all I (is_int(I)-> (I=zero_zero_int->hAPP_int_int(sgn_sgn_int,I)=zero_zero_int)& (I!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),I))->hAPP_int_int(sgn_sgn_int,I)=one_one_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),I))->hAPP_int_int(sgn_sgn_int,I)=hAPP_int_int(uminus_uminus_int,one_one_int)))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),pi))->hAPP_real_real(arccos,hAPP_real_real(cos,X_1))=X_1)).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Y_1)),one_one_real))->hAPP_real_real(cos,hAPP_real_real(arccos,Y_1))=Y_1).
% 224.58/223.26  hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))=hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(arccos,Y_1))))).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hAPP_real_real(cos,hAPP_real_real(arccos,Y_1))=Y_1)).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arccos,Y_1)),pi)))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,pi)),X_1))->hAPP_real_real(arccos,hAPP_real_real(cos,X_1))=hAPP_real_real(uminus_uminus_real,X_1))).
% 224.58/223.26  all X_1 (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),pi)))=hAPP_real_real(tan,X_1)).
% 224.58/223.26  hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=one_one_real.
% 224.58/223.26  all Y_1 X_1 (hAPP_real_real(cos,X_1)!=zero_zero_real-> (hAPP_real_real(cos,Y_1)!=zero_zero_real-> (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1))!=zero_zero_real->hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(tan,X_1)),hAPP_real_real(tan,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(tan,X_1)),hAPP_real_real(tan,Y_1))))))).
% 224.58/223.26  all Y_1 X_1 (hAPP_real_real(cos,X_1)!=zero_zero_real-> (hAPP_real_real(cos,Y_1)!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(tan,X_1)),hAPP_real_real(tan,Y_1)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(cos,Y_1))))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(tan,X_1))))).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(arccos,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arccos,Y_1)),pi)))).
% 224.58/223.26  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_2))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(tan,Y_2)),hAPP_real_real(tan,X_2)))))))).
% 224.58/223.26  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(tan,Y_1)),hAPP_real_real(tan,X_1)))))).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(arccos,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arccos,Y_1)),pi)))).
% 224.58/223.26  all Y_1 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_real_real(tan,Y_1))=hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Y_1))).
% 224.58/223.26  hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(tan,X_1)),zero_zero_real)))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hAPP_real_real(arctan,hAPP_real_real(tan,X_1))=X_1)).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arctan,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(tan,hAPP_real_real(arctan,Y_1))=Y_1).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(arccos,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arccos,Y_1)),pi))&hAPP_real_real(cos,hAPP_real_real(arccos,Y_1))=Y_1)).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X_1)),one_one_real))-> (exists Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),Z))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))&hAPP_real_real(tan,Z)=X_1))).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))-> (exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(tan,X)=Y_1))).
% 224.58/223.26  all Y_1 exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(tan,X)=Y_1& (all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(tan,Y)=Y_1->Y=X))).
% 224.58/223.26  all Y_1 exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(tan,X)=Y_1).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))-> (exists 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,X),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),hAPP_real_real(tan,X)))))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hAPP_real_real(tan,X_1)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))),one_one_real)))).
% 224.58/223.26  all M (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hAPP_real_real(sin,hAPP_real_real(arccos,X_1))=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.26  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,N_1))).
% 224.58/223.26  all X_1 (hAPP_real_real(sin,hAPP_real_real(uminus_uminus_real,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))).
% 224.58/223.26  all X_1 (hAPP_real_real(abs_abs_real,hAPP_nat_real(real_nat,X_1))=hAPP_nat_real(real_nat,X_1)).
% 224.58/223.26  all N Ma (hAPP_nat_real(real_nat,N)=hAPP_nat_real(real_nat,Ma)<->N=Ma).
% 224.58/223.26  hAPP_real_real(sin,zero_zero_real)=zero_zero_real.
% 224.58/223.26  all N_1 (natfloor(hAPP_nat_real(real_nat,N_1))=N_1).
% 224.58/223.26  all N_1 (natceiling(hAPP_nat_real(real_nat,N_1))=N_1).
% 224.58/223.26  all N_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,N_1)))=zero_zero_real).
% 224.58/223.26  all N_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=zero_zero_real).
% 224.58/223.26  real_nat=semiri132038758t_real.
% 224.58/223.26  real_nat=semiri132038758t_real.
% 224.58/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sin,X_1)),one_one_real)).
% 224.58/223.26  all N (hAPP_nat_real(real_nat,N)=zero_zero_real<->N=zero_zero_nat).
% 224.58/223.26  hAPP_nat_real(real_nat,zero_zero_nat)=zero_zero_real.
% 224.58/223.26  all N_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),zero_zero_real))).
% 224.58/223.26  all N Ma (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma))).
% 224.58/223.26  hAPP_real_real(sin,pi)=zero_zero_real.
% 224.58/223.26  all N Ma (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),Ma))).
% 224.58/223.26  all M N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1))).
% 224.58/223.26  all M N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1))).
% 224.58/223.26  hAPP_nat_real(real_nat,one_one_nat)=one_one_real.
% 224.58/223.26  all M N_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(real_nat,M)),N_1)=hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N_1))).
% 224.58/223.26  all M N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(real_nat,M)),N_1)).
% 224.58/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(real_nat,natceiling(X_1)))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),pi))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sin,X_1))))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),pi))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sin,X_1))))).
% 224.58/223.26  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),zero_zero_real))<->N=zero_zero_nat).
% 224.58/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),hAPP_real_real(sin,X_1))).
% 224.58/223.26  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1)))).
% 224.58/223.26  all X_1 (hAPP_real_real(cos,X_1)=one_one_real->hAPP_real_real(sin,X_1)=zero_zero_real).
% 224.58/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(sin,X_1))),one_one_real)).
% 224.58/223.26  hAPP_nat_real(real_nat,hAPP_nat_nat(suc,zero_zero_nat))=one_one_real.
% 224.58/223.26  all X_1 Y_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X_1)),hAPP_real_real(cos,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,Y_1)))).
% 224.58/223.26  all X_1 Y_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,Y_1)),hAPP_real_real(sin,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,Y_1)),hAPP_real_real(cos,X_1)))).
% 224.58/223.26  all X_1 Y_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X_1)),hAPP_real_real(cos,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,Y_1)))).
% 224.58/223.26  all N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N_1)),one_one_real)).
% 224.58/223.26  all X_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),pi))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))).
% 224.58/223.26  all X_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,pi),X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))).
% 224.58/223.26  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N_1))).
% 224.58/223.26  all N_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),X_1))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,X_1)))).
% 224.58/223.26  all X_1 (hAPP_real_real(tan,X_1)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,X_1)),hAPP_real_real(cos,X_1))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,natfloor(X_1))),X_1))).
% 224.58/223.26  all X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,X_1)),A_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),natfloor(A_3)))).
% 224.58/223.26  all X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_nat_real(real_nat,A_3)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_1)),A_3))).
% 224.58/223.26  all N_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(real_nat,N_1))),pi))=zero_zero_real).
% 224.58/223.26  all N_1 X_1 (X_1=hAPP_nat_real(real_nat,natfloor(X_1))->natfloor(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,natfloor(X_1)),N_1)).
% 224.58/223.26  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 224.58/223.26  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(cos,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X_1)),hAPP_real_real(sin,X_1)))=one_one_real).
% 224.58/223.26  all X_1 (hAPP_real_real(sin,X_1)=zero_zero_real->hAPP_real_real(abs_abs_real,hAPP_real_real(cos,X_1))=one_one_real).
% 224.58/223.26  all X_1 Y_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,Y_1)),hAPP_real_real(cos,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,Y_1)),hAPP_real_real(sin,X_1)))).
% 224.58/223.26  all X_1 Y_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(cos,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X_1)),hAPP_real_real(sin,Y_1)))).
% 224.58/223.26  all X_1 Y_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(cos,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X_1)),hAPP_real_real(sin,Y_1)))).
% 224.58/223.26  all N Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),Ma))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N)),one_one_real)),hAPP_nat_real(real_nat,Ma)))).
% 224.58/223.26  all N Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),Ma))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,Ma)),one_one_real)))).
% 224.58/223.26  all A X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),natfloor(X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A)),X_2)))).
% 224.58/223.26  all N_1 (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=zero_zero_real).
% 224.58/223.26  all A X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X_2)),A))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),hAPP_nat_real(real_nat,A))))).
% 224.58/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,natfloor(X_1))),one_one_real))).
% 224.58/223.26  all X_1 N_1 (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi)))=hAPP_real_real(tan,X_1)).
% 224.58/223.26  all A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_3)),X_1))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),hAPP_nat_real(real_nat,A_3)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,natfloor(X_1)),A_3)).
% 224.58/223.26  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),one_one_real)),hAPP_nat_real(real_nat,natfloor(X_1)))).
% 224.58/223.26  all A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_3)),X_1))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),hAPP_nat_real(real_nat,A_3)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,natceiling(X_1)),A_3)).
% 224.58/223.26  all X_1 M (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,M))),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,M)),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.26  all N_1 D_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),D_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),N_1))->hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),D_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,D_3)))).
% 224.58/223.26  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(ln,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_real_real(ln,X_1))).
% 224.58/223.26  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_nat_real(real_nat,N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,natfloor(X_1)),N_1)))).
% 224.58/223.26  all N_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,X_1))),hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),X_1))))).
% 224.58/223.26  all V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_real(real_nat,hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_real)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_real(real_nat,hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_real(number267125858f_real,V_2))).
% 224.58/223.26  all N_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(real_nat,X_1))),hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),X_1)))),one_one_real)).
% 224.58/223.26  all A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_nat_real(real_nat,A_3)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X_1)),A_3)).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hAPP_real_real(sin,hAPP_real_real(arcsin,Y_1))=Y_1)).
% 224.58/223.26  all Z_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(Z_1)),one_one_nat)),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_1),hAPP_nat_real(real_nat,N_1)))).
% 224.58/223.26  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N_1)),one_one_real)))->natfloor(X_1)=N_1)).
% 224.58/223.26  all A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_nat_real(real_nat,A_3)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X_1)),A_3)).
% 224.58/223.26  all X_1 M (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,M))),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,M)),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sin,X_1))))).
% 224.58/223.26  all N_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1)))),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1)).
% 224.58/223.26  all X_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(sin,X_1))),hAPP_real_real(cos,X_1))).
% 224.58/223.26  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_1))).
% 224.58/223.26  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),X_1)),one_one_real)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),one_one_real)),N_1)))).
% 224.58/223.26  all Y_1 X_1 (hAPP_real_real(cos,X_1)!=zero_zero_real-> (hAPP_real_real(cos,Y_1)!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(tan,X_1)),hAPP_real_real(tan,Y_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(cos,Y_1))))).
% 224.58/223.26  all X_1 D_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),D_3))->hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,X_1)),hAPP_nat_real(real_nat,D_3))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_1),D_3))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,hAPP_nat_nat(div_mod_nat(X_1),D_3))),hAPP_nat_real(real_nat,D_3)))).
% 224.58/223.26  all N_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),pi))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1)).
% 224.58/223.26  all N_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,N_1)))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N_1)).
% 224.58/223.26  hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),pi))=zero_zero_real.
% 224.58/223.26  all X_1 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),pi)))=hAPP_real_real(sin,X_1)).
% 224.58/223.26  hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=one_one_real.
% 224.58/223.26  hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.58/223.26  hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.58/223.26  hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sqrt,hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.58/223.26  all N_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1))).
% 224.58/223.26  all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Y_1))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),hAPP_nat_real(real_nat,Y_1)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,natfloor(X_1)),Y_1))).
% 224.58/223.26  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N_1)),one_one_real)))->natceiling(X_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sin,X_1))))).
% 224.58/223.26  all R_3 A_3 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(cos,A_3))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(sin,A_3))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.58/223.26  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sin,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=one_one_real).
% 224.58/223.26  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sin,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=one_one_real).
% 224.58/223.26  all X_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sin,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.58/223.26  all X_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sin,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.58/223.26  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sin,Y_1)),hAPP_real_real(sin,X_1)))))).
% 224.58/223.26  all X_1 (hAPP_real_real(cos,X_1)=hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_1))).
% 224.58/223.26  all X_1 (hAPP_real_real(sin,X_1)=hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_1))).
% 224.58/223.26  all N_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_nat_real(real_nat,N_1))),pi))=one_one_real).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sin,X_1)),zero_zero_real)))).
% 224.58/223.26  all X_1 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sin,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.58/223.26  hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),pi))=hAPP_real_real(uminus_uminus_real,one_one_real).
% 224.58/223.26  all X_1 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_1))=hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.26  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hAPP_real_real(arcsin,hAPP_real_real(sin,X_1))=X_1)).
% 224.58/223.26  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X_1)),hAPP_real_real(cos,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(sin,Y_1))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Y_1))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_1)),hAPP_real_real(cos,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X_1)),hAPP_real_real(sin,Y_1))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real).
% 224.58/223.26  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(sin,hAPP_real_real(uminus_uminus_real,X_1))),hAPP_real_real(sin,X_1))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(cos,hAPP_real_real(uminus_uminus_real,X_1))),hAPP_real_real(cos,X_1))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Y_1)),one_one_real))->hAPP_real_real(sin,hAPP_real_real(arccos,Y_1))=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arcsin,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arcsin,Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(sin,hAPP_real_real(arcsin,Y_1))=Y_1)).
% 224.58/223.26  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(arcsin,Y_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arcsin,Y_1)),pi))&hAPP_real_real(sin,hAPP_real_real(arcsin,Y_1))=Y_1)).
% 224.58/223.27  all X_4 Y_4 (hAPP_real_real(sin,hAPP_real_real(arccos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_4),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_4),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.27  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),one_one_real))-> (exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(sin,X)=Y_1& (all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))&hAPP_real_real(sin,Y)=Y_1->Y=X)))))).
% 224.58/223.27  all R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))-> (exists N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_2),one_one_nat))),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_nat_real(real_nat,N_2)))))).
% 224.58/223.27  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (exists N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),Y_1)),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_2))),Y_1))))))).
% 224.58/223.27  all R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))-> (exists N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_2)),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_2))))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (all Y exists N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),X_1))))).
% 224.58/223.27  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N_1))=zero_zero_real).
% 224.58/223.27  all X_2 (hAPP_real_real(sin,X_2)=zero_zero_real<-> (exists N_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_2=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))| (exists N_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_2=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.58/223.27  all X_2 (hAPP_real_real(cos,X_2)=zero_zero_real<-> (exists N_2 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_2=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))| (exists N_2 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_2=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.58/223.27  all Ma N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),N)))<-> -(-hBOOL(hAPP_nat_bool(even_odd_even_nat,Ma))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,N)))).
% 224.58/223.27  all Ma N (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),N)))<-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,Ma))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,N)))).
% 224.58/223.27  all X_2 Y_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_2),Y_2)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))&hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))& -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))).
% 224.58/223.27  hBOOL(hAPP_nat_bool(even_odd_even_nat,zero_zero_nat)).
% 224.58/223.27  all X_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(suc,X_2)))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))).
% 224.58/223.27  -hBOOL(hAPP_nat_bool(even_odd_even_nat,one_one_nat)).
% 224.58/223.27  all X_2 Y_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_2),Y_2)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))).
% 224.58/223.27  all N_1 (hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))!=zero_zero_real).
% 224.58/223.27  all N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))).
% 224.58/223.27  all X_2 Y_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X_2),Y_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_2),Y_2))|hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))&hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))& -hBOOL(hAPP_nat_bool(even_odd_even_nat,Y_2))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,X_2)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))<->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,X_2)))).
% 224.58/223.27  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))).
% 224.58/223.27  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1)))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))<-> (exists Y (X_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),Y)))).
% 224.58/223.27  all X_2 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))<-> (exists Y (X_2=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),Y))))).
% 224.58/223.27  all X_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,X_1)),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,X_1)),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))).
% 224.58/223.27  all X_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_nat(div_mod_nat(X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.58/223.27  all X_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_nat(div_mod_nat(X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=zero_zero_nat).
% 224.58/223.27  all X_2 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))<->hAPP_nat_nat(div_mod_nat(X_2),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.58/223.27  all X_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))<->hAPP_nat_nat(div_mod_nat(X_2),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=zero_zero_nat).
% 224.58/223.27  all X_2 Y_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_2),Y_2)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Y_2))).
% 224.58/223.27  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),hAPP_nat_nat(suc,M)))->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)))).
% 224.58/223.27  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))=X_1).
% 224.58/223.27  all X_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_1),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))))=X_1).
% 224.58/223.27  all X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(even_odd_even_int,X_2))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_int_nat(nat,X_2))))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,X_2))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2))).
% 224.58/223.27  all N (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N))).
% 224.58/223.27  all N (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<-> (exists M_1 (N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M_1)))).
% 224.58/223.27  all N (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(div_mod_nat(N),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.27  all N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))<-> (exists M_1 (N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),M_1))))).
% 224.58/223.27  all N_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.58/223.27  all N (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,hAPP_nat_bool(even_odd_even_nat,N)),zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N))=zero_zero_real).
% 224.58/223.27  all N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.58/223.27  all N_1 (hAPP_nat_nat(div_mod_nat(N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls)))-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.27  all N_1 (hAPP_nat_nat(div_mod_nat(N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=one_one_nat->hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hAPP_real_real(sin,X_1)=zero_zero_real-> (exists N_2 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hAPP_real_real(cos,X_1)=zero_zero_real-> (exists N_2 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_2))&X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_2)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.58/223.27  all N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))-> (exists X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X)),one_one_nat)))).
% 224.58/223.27  all X ((hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->hAPP_nat_real(sin_coeff,X)=zero_zero_real)& (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->hAPP_nat_real(sin_coeff,X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X),hAPP_nat_nat(suc,zero_zero_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,X))))).
% 224.58/223.27  all N_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))-> (exists X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X)))).
% 224.58/223.27  all X ((hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->hAPP_nat_real(cos_coeff,X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,X))))& (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->hAPP_nat_real(cos_coeff,X)=zero_zero_real)).
% 224.58/223.27  all N_1 M ((M=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))=hAPP_nat_nat(fact_fact_nat,N_1))& (M!=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),one_one_nat)),N_1))))).
% 224.58/223.27  all M N_1 ((hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))=one_one_nat)& (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)!=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)),one_one_nat))))).
% 224.58/223.27  all N_1 (hAPP_nat_nat(fact_fact_nat,N_1)!=zero_zero_nat).
% 224.58/223.27  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(fact_fact_nat,M)),hAPP_nat_nat(fact_fact_nat,N_1)))).
% 224.58/223.27  hAPP_nat_nat(fact_fact_nat,one_one_nat)=one_one_nat.
% 224.58/223.27  hAPP_nat_nat(fact_fact_nat,zero_zero_nat)=hAPP_nat_nat(suc,zero_zero_nat).
% 224.58/223.27  hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,zero_zero_nat))=hAPP_nat_nat(suc,zero_zero_nat).
% 224.58/223.27  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(fact_fact_nat,M)),hAPP_nat_nat(fact_fact_nat,N_1))))).
% 224.58/223.27  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(fact_fact_nat,N_1))).
% 224.58/223.27  all X_1 (hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,X_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,X_1)),hAPP_nat_nat(fact_fact_nat,X_1))).
% 224.58/223.27  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(fact_fact_nat,N_1)),hAPP_nat_nat(fact_fact_nat,M)))).
% 224.58/223.27  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(fact_fact_nat,N_1))).
% 224.58/223.27  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,zero_zero_nat)),hAPP_nat_nat(fact_fact_nat,N_1))).
% 224.58/223.27  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),hAPP_nat_nat(fact_fact_nat,N_1))))).
% 224.58/223.27  all N_1 (hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),hAPP_nat_nat(fact_fact_nat,N_1))).
% 224.58/223.27  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(fact_fact_nat,N_1)),hAPP_nat_nat(fact_fact_nat,M))=zero_zero_nat).
% 224.58/223.27  all M ((M=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,M)=one_one_nat)& (M!=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),one_one_nat))))).
% 224.58/223.27  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_nat_nat(fact_fact_nat,N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N_1),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)))).
% 224.58/223.27  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),N_1)))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1))))).
% 224.58/223.27  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(exp_real,Y_1)))).
% 224.58/223.27  all Y_1 X_1 (hAPP_real_real(exp_real,Y_1)=X_1->hAPP_real_real(ln,X_1)=Y_1).
% 224.58/223.27  all U_1 X_1 (hAPP_real_real(exp_real,U_1)=X_1->hAPP_real_real(ln,X_1)=U_1).
% 224.58/223.27  all X_1 (hAPP_real_real(ln,hAPP_real_real(exp_real,X_1))=X_1).
% 224.58/223.27  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_2)),hAPP_real_real(exp_real,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2))).
% 224.58/223.27  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(exp_real,Y_1)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))).
% 224.58/223.27  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_2)),hAPP_real_real(exp_real,Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2))).
% 224.58/223.27  hAPP_real_real(inverse_inverse_real,zero_zero_real)=zero_zero_real.
% 224.58/223.27  all X_2 Y_2 (hAPP_real_real(exp_real,X_2)=hAPP_real_real(exp_real,Y_2)<->X_2=Y_2).
% 224.58/223.27  all X_1 (hAPP_real_real(abs_abs_real,hAPP_real_real(exp_real,X_1))=hAPP_real_real(exp_real,X_1)).
% 224.58/223.27  all X_1 (hAPP_real_real(sqrt,hAPP_real_real(inverse_inverse_real,X_1))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1))).
% 224.58/223.27  all R S_4 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,R),S_4)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R),hAPP_real_real(inverse_inverse_real,S_4))).
% 224.58/223.27  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_1)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),hAPP_real_real(inverse_inverse_real,Y_1))).
% 224.58/223.27  all X_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_1)),zero_zero_real))).
% 224.58/223.27  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(exp_real,X_1))).
% 224.58/223.27  all X_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_1)),zero_zero_real))).
% 224.58/223.27  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(exp_real,X_1))).
% 224.58/223.27  all X_2 (hAPP_real_real(exp_real,X_2)=one_one_real<->X_2=zero_zero_real).
% 224.58/223.27  all Y_1 U_1 X1_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X1_1),Y_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),U_1)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,X_1)),Y_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,X1_1)),U_1)))))).
% 224.58/223.27  all Y_1 U_1 X1_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X1_1),Y_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),U_1)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_1),hAPP_real_real(inverse_inverse_real,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_1),hAPP_real_real(inverse_inverse_real,X1_1))))))).
% 224.58/223.27  all X_1 (X_1!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,X_1)),X_1)=one_one_real).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(exp_real,X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_2)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),zero_zero_real))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X_2)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,X_1)))).
% 224.58/223.27  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1)),hAPP_real_real(exp_real,X_1))).
% 224.58/223.27  all N_1 X_1 (hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),X_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(exp_real,X_1)),N_1)).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(exp_real,hAPP_real_real(ln,X_1))=X_1).
% 224.58/223.27  all X_2 (hAPP_real_real(exp_real,hAPP_real_real(ln,X_2))=X_2<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))).
% 224.58/223.27  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sqrt,X_1)),X_1)=hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1))).
% 224.58/223.27  all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N_1))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(ln,hAPP_real_real(inverse_inverse_real,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(ln,X_1))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1)),hAPP_real_real(exp_real,X_1)))).
% 224.58/223.27  all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,one_one_real)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,Y_1)),Y_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,X_1)),X_1))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_1))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(inverse_inverse_real,X_1)).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_1)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.58/223.27  all X_1 (hAPP_real_real(cos,X_1)!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(tan,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(cos,X_1))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.58/223.27  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_1))-> (exists X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_1),one_one_real)))&hAPP_real_real(exp_real,X)=Y_1))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (exists N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_2)))),X_1)))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(log(hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_1)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,hAPP_real_real(exp_real,one_one_real))),hAPP_real_real(ln,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_real_real(ln,X_1))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),one_one_real))->hBOOL(hAPP_real_bool(deriv_real(arccos,X_2),hAPP_real_real(inverse_inverse_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))))).
% 224.58/223.27  all X_2 hBOOL(hAPP_real_bool(deriv_real(sin,X_2),hAPP_real_real(cos,X_2))).
% 224.58/223.27  all A_3 (hAPP_real_real(log(A_3),one_one_real)=zero_zero_real).
% 224.58/223.27  all A_3 X_1 (hAPP_real_real(log(A_3),X_1)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,X_1)),hAPP_real_real(ln,A_3))).
% 224.58/223.27  all X_2 hBOOL(hAPP_real_bool(deriv_real(cos,X_2),hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_2)))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->hBOOL(hAPP_real_bool(deriv_real(ln,X_2),hAPP_real_real(inverse_inverse_real,X_2)))).
% 224.58/223.27  all Y_2 X_2 A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(log(A),X_2)),hAPP_real_real(log(A),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2)))))).
% 224.58/223.27  all A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (A_3!=one_one_real->hAPP_real_real(log(A_3),A_3)=one_one_real)).
% 224.58/223.27  all X_1 (hAPP_real_real(ln,X_1)=hAPP_real_real(log(hAPP_real_real(exp_real,one_one_real)),X_1)).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->hBOOL(hAPP_real_bool(deriv_real(ln,X_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),X_2)))).
% 224.58/223.27  all Y_2 X_2 A (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(log(A),X_2)),hAPP_real_real(log(A),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2)))))).
% 224.58/223.27  all B_2 N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(log(B_2),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),hAPP_real_real(log(B_2),X_1))).
% 224.58/223.27  all Y_1 X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (A_3!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hAPP_real_real(log(A_3),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(log(A_3),X_1)),hAPP_real_real(log(A_3),Y_1)))))).
% 224.58/223.27  all Y_1 X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (A_3!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hAPP_real_real(log(A_3),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(log(A_3),X_1)),hAPP_real_real(log(A_3),Y_1)))))).
% 224.58/223.27  all X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (A_3!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(log(A_3),hAPP_real_real(inverse_inverse_real,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(log(A_3),X_1))))).
% 224.58/223.27  all X_1 B_2 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (A_3!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_2))-> (B_2!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(log(A_3),X_1)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,B_2)),hAPP_real_real(ln,A_3))),hAPP_real_real(log(B_2),X_1))))))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->hBOOL(hAPP_real_bool(deriv_real(sqrt,X_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_2))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.27  all X_2 (hAPP_real_real(cos,X_2)!=zero_zero_real->hBOOL(hAPP_real_bool(deriv_real(tan,X_2),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.27  all X_2 hBOOL(hAPP_real_bool(deriv_real(arctan,X_2),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.27  all D_1 X_2 (X_2!=zero_zero_real-> ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->D_1=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_2))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))-> ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real))->D_1=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X_2)))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->hBOOL(hAPP_real_bool(deriv_real(sqrt,X_2),D_1))))).
% 224.58/223.27  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),one_one_real))->hBOOL(hAPP_real_bool(deriv_real(arcsin,X_2),hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))))).
% 224.58/223.27  all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(log(hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),X_1)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(log(hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_real_real(exp_real,one_one_real))),hAPP_real_real(ln,X_1))).
% 224.58/223.27  all V K_1 A B (A!=B-> ((all X hBOOL(hAPP_real_bool(deriv_real(V,X),K_1)))->hAPP_real_real(V,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A),B)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(V,A)),hAPP_real_real(V,B))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.58/223.27  all D F X_2 L (hBOOL(hAPP_real_bool(deriv_real(F,X_2),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_2),Y))),D))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Y)),hAPP_real_real(F,X_2)))))->L=zero_zero_real))).
% 224.58/223.27  all D F X_2 L (hBOOL(hAPP_real_bool(deriv_real(F,X_2),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_2),Y))),D))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,X_2)),hAPP_real_real(F,Y)))))->L=zero_zero_real))).
% 224.58/223.27  all D F X_2 L (hBOOL(hAPP_real_bool(deriv_real(F,X_2),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_2),Y))),D))->hAPP_real_real(F,X_2)=hAPP_real_real(F,Y)))->L=zero_zero_real))).
% 224.58/223.27  all F X_2 L (hBOOL(hAPP_real_bool(deriv_real(F,X_2),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all H_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H_1),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_2),H_1))),hAPP_real_real(F,X_2)))))))))).
% 224.58/223.27  all F X_2 L (hBOOL(hAPP_real_bool(deriv_real(F,X_2),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all H_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H_1),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_2)),hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_2),H_1))))))))))).
% 224.58/223.27  all F X_2 L (hBOOL(hAPP_real_bool(deriv_real(F,X_2),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all H_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H_1),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_2)),hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),H_1))))))))))).
% 224.58/223.27  all F X_2 L (hBOOL(hAPP_real_bool(deriv_real(F,X_2),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all H_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H_1),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),H_1))),hAPP_real_real(F,X_2)))))))))).
% 224.58/223.27  all F K_1 A B (A!=B-> ((all X hBOOL(hAPP_real_bool(deriv_real(F,X),K_1)))->hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B)),hAPP_real_real(F,A))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A))=K_1)).
% 224.58/223.27  all F K_1 A B (A!=B-> ((all X hBOOL(hAPP_real_bool(deriv_real(F,X),K_1)))->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B)),hAPP_real_real(F,A))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A)),K_1))).
% 224.58/223.27  all D_1 X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (X_2!=zero_zero_real-> ((hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->D_1=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))))-> ((hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real))->D_1=hAPP_real_real(uminus_uminus_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))))-> ((-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))->D_1=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_2),D_1))))))).
% 224.58/223.27  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_2),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_nat_real(real_nat,N))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))))))).
% 224.58/223.27  all N_1 (hAPP_real_real(hAPP_n546711566l_real(root,N_1),zero_zero_real)=zero_zero_real).
% 224.58/223.27  all X_1 (hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(suc,zero_zero_nat)),X_1)=X_1).
% 224.58/223.27  all X_1 N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,M),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1))=hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_n546711566l_real(root,M),X_1)))).
% 224.58/223.27  all X_2 Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)=hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)<->X_2=Y_2)).
% 224.58/223.27  all X_1 N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1))=X_1).
% 224.58/223.27  all X_1 N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),N_1)=X_1).
% 224.58/223.27  all Y_1 X_1 N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))-> (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),N_1)=X_1->hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)=Y_1)).
% 224.58/223.27  all X_1 Y_1 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_e_q_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y_1))))).
% 224.58/223.27  all X_2 Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2)))).
% 224.58/223.27  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)=zero_zero_real<->X_2=zero_zero_real)).
% 224.58/223.27  all X_1 Y_1 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,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y_1))))).
% 224.58/223.27  all X_2 Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2)))).
% 224.58/223.27  all X_1 Y_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y_1))).
% 224.58/223.27  all X_1 N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)),X_1)=hAPP_real_real(hAPP_n546711566l_real(root,M),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)))).
% 224.58/223.27  all X_1 K_2 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),K_2))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),K_2)).
% 224.58/223.27  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)=one_one_real<->X_2=one_one_real)).
% 224.58/223.27  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),one_one_real)=one_one_real).
% 224.58/223.27  all X_1 Y_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y_1))).
% 224.58/223.27  all X_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(uminus_uminus_real,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1))).
% 224.58/223.27  all X_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(abs_abs_real,X_1))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1))).
% 224.58/223.27  all X_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(inverse_inverse_real,X_1))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1))).
% 224.58/223.27  all X_1 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_e_q_real,zero_zero_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1))))).
% 224.58/223.27  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),zero_zero_real)))).
% 224.58/223.27  all Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_2)))).
% 224.58/223.27  all X_1 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),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1))))).
% 224.58/223.27  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real)))).
% 224.58/223.27  all Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_2)))).
% 224.58/223.27  all X_1 N_5 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N_5),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)))))).
% 224.58/223.27  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),one_one_real)))).
% 224.58/223.27  all Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y_2)))).
% 224.58/223.27  all X_1 N_5 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N_5),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)))))).
% 224.58/223.27  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),one_one_real)))).
% 224.58/223.27  all Y_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,N),Y_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Y_2)))).
% 224.58/223.27  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(suc,N_1)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_nat_nat(suc,N_1)))=X_1).
% 224.58/223.27  all Y_1 X_1 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_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y_1)))))).
% 224.58/223.27  all X_4 N_6 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_6))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_4))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_6),X_4))))).
% 224.58/223.27  all Y_1 X_1 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_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_1),Y_1))))).
% 224.58/223.28  all X_1 N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M))-> (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),X_1))->hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)),X_1)=hAPP_real_real(hAPP_n546711566l_real(root,M),hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1))))).
% 224.58/223.28  all X_1 Y_1 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_e_q_real,zero_zero_real),Y_1))-> (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),N_1)=X_1->hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)=Y_1))).
% 224.58/223.28  all X_1 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_e_q_real,zero_zero_real),X_1))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),N_1)=X_1)).
% 224.58/223.28  all X_1 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_e_q_real,zero_zero_real),X_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1))=X_1)).
% 224.58/223.28  all X_1 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),X_1))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),N_1)=X_1)).
% 224.58/223.28  all X_1 N_5 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_5),X_1))))))).
% 224.58/223.28  all X_1 N_5 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),N_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)),hAPP_real_real(hAPP_n546711566l_real(root,N_5),X_1))))))).
% 224.58/223.28  sqrt=hAPP_n546711566l_real(root,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 224.58/223.28  all X_1 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_e_q_real,zero_zero_real),X_1))->hAPP_real_real(hAPP_n546711566l_real(root,N_1),hAPP_real_real(inverse_inverse_real,X_1))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,N_1),X_1)))).
% 224.58/223.28  all X_2 N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (X_2!=zero_zero_real->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_2),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))))).
% 224.58/223.28  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,N),X_2),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat))))))))).
% 224.58/223.28  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))-> (exists X (hAPP_real_real(exp_real,X)=Y_1))).
% 224.58/223.28  all K_2 L_2 (is_int(L_2)-> (L_2=zero_zero_int->pdivmod(K_2,L_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),hAPP_int_int(abs_abs_int,K_2)))& (L_2!=zero_zero_int->pdivmod(K_2,L_2)=posDivAlg(hAPP_int_int(abs_abs_int,K_2),hAPP_int_int(abs_abs_int,L_2)))).
% 224.58/223.28  all F F_1 A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))->hBOOL(hAPP_real_bool(deriv_real(F,X),hAPP_real_real(F_1,X)))))-> (exists Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),Z))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),B))&hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B)),hAPP_real_real(F,A))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A)),hAPP_real_real(F_1,Z)))))).
% 224.58/223.28  all K_2 L_2 (pdivmod(K_2,L_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(abs_abs_int,K_2)),hAPP_int_int(abs_abs_int,L_2))),hAPP_int_int(div_mod_int(hAPP_int_int(abs_abs_int,K_2)),hAPP_int_int(abs_abs_int,L_2)))).
% 224.58/223.28  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),zero_zero_real))-> (exists R_1 A_2 (X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_2))&Y_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_2))))).
% 224.58/223.28  all X_1 Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))-> (exists R_1 A_2 (X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_2))&Y_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_2))))).
% 224.58/223.28  all K_2 L_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),L_2))->hAPP_int_int(z3mod(K_2),L_2)=hAPP_int_int(div_mod_int(K_2),L_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),L_2))->hAPP_int_int(z3mod(K_2),L_2)=hAPP_int_int(div_mod_int(K_2),hAPP_int_int(uminus_uminus_int,L_2)))).
% 224.58/223.28  all K_2 L_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),L_2))->hAPP_int_int(z3div(K_2),L_2)=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,K_2),L_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),L_2))->hAPP_int_int(z3div(K_2),L_2)=hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,K_2),hAPP_int_int(uminus_uminus_int,L_2))))).
% 224.58/223.28  all X_2 Y_2 F ((all X hBOOL(hAPP_real_bool(deriv_real(F,X),zero_zero_real)))->hAPP_real_real(F,X_2)=hAPP_real_real(F,Y_2)).
% 224.58/223.28  all X_1 exists N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_nat_real(real_nat,N_2))).
% 224.58/223.28  all K_2 L_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),L_2))-> (exists N_2 (L_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_2)))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(norm_norm_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_1))=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.28  all P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> ((exists X1 hBOOL(hAPP_nat_bool(P_1,X1)))-> (exists N_2 (-hBOOL(hAPP_nat_bool(P_1,N_2))&hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_2))))))).
% 224.58/223.28  all Real1_2 Real2_2 Real1_1 Real2_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,Real1_2),Real2_2)=hAPP_real_complex(hAPP_r265291036omplex(complex,Real1_1),Real2_1)<->Real1_2=Real1_1&Real2_2=Real2_1).
% 224.58/223.28  all A B (hAPP_real_complex(hAPP_r265291036omplex(complex,A),B)=zero_zero_complex<->A=zero_zero_real&B=zero_zero_real).
% 224.58/223.28  zero_zero_complex=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),zero_zero_real).
% 224.58/223.28  all A B W_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,A),B)=hAPP_int_complex(number528085621omplex,W_1)<->A=hAPP_int_real(number267125858f_real,W_1)&B=zero_zero_real).
% 224.58/223.28  all A B (hAPP_real_complex(hAPP_r265291036omplex(complex,A),B)=one_one_complex<->A=one_one_real&B=zero_zero_real).
% 224.58/223.28  one_one_complex=hAPP_real_complex(hAPP_r265291036omplex(complex,one_one_real),zero_zero_real).
% 224.58/223.28  all A_3 B_2 C_1 D_3 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2)),hAPP_real_complex(hAPP_r265291036omplex(complex,C_1),D_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_3),C_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_2),D_3))).
% 224.58/223.28  all A_3 B_2 (hAPP_complex_complex(uminus473333897omplex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,A_3)),hAPP_real_real(uminus_uminus_real,B_2))).
% 224.58/223.28  all A_3 B_2 C_1 D_3 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2)),hAPP_real_complex(hAPP_r265291036omplex(complex,C_1),D_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_3),C_1)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_2),D_3))).
% 224.58/223.28  all A_3 B_2 C_1 D_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2)),hAPP_real_complex(hAPP_r265291036omplex(complex,C_1),D_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),C_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_2),D_3))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),D_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_2),C_1)))).
% 224.58/223.28  all A_3 (hAPP_complex_real(norm_norm_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_3)),hAPP_real_real(sin,A_3)))=one_one_real).
% 224.58/223.28  all A_3 B_2 (hAPP_complex_complex(invers1449016382omplex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,B_2)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.28  all Real1 Real2 (complex_size(hAPP_real_complex(hAPP_r265291036omplex(complex,Real1),Real2))=zero_zero_nat).
% 224.58/223.28  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),zero_zero_real))->hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y_1)))=zero_zero_real).
% 224.58/223.28  all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y_1)))=zero_zero_real).
% 224.58/223.28  all Real1 Real2 (hAPP_complex_nat(size_size_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,Real1),Real2))=zero_zero_nat).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X_1),Y_1)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),hAPP_complex_complex(invers1449016382omplex,Y_1))).
% 224.58/223.28  all Y_1 (Y_1!=zero_zero_real->hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y_1)))=zero_zero_real).
% 224.58/223.28  hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,ii),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_int_complex(number528085621omplex,min).
% 224.58/223.28  ii!=zero_zero_complex.
% 224.58/223.28  ii!=one_one_complex.
% 224.58/223.28  all W (ii!=hAPP_int_complex(number528085621omplex,W)).
% 224.58/223.28  all X_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),X_1))=hAPP_complex_complex(uminus473333897omplex,X_1)).
% 224.58/223.28  hAPP_complex_complex(invers1449016382omplex,ii)=hAPP_complex_complex(uminus473333897omplex,ii).
% 224.58/223.28  all X_2 Y_2 (hAPP_real_complex(hAPP_r265291036omplex(complex,X_2),Y_2)=ii<->X_2=zero_zero_real&Y_2=one_one_real).
% 224.58/223.28  ii=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),one_one_real).
% 224.58/223.28  all A_3 B_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2)),ii)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,B_2)),A_3)).
% 224.58/223.28  all A_3 B_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,B_2)),A_3)).
% 224.58/223.28  hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=hAPP_int_complex(number528085621omplex,min).
% 224.58/223.28  hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_complex(invers1449016382omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,of_real_complex(X_1)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),of_real_complex(Y_1))))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,of_real_complex(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),of_real_complex(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Y_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))).
% 224.58/223.28  all X_2 Y_2 Xa_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,X_2),Y_2)=of_real_complex(Xa_1)<->X_2=Xa_1&Y_2=zero_zero_real).
% 224.58/223.28  all R_3 (of_real_complex(R_3)=hAPP_real_complex(hAPP_r265291036omplex(complex,R_3),zero_zero_real)).
% 224.58/223.28  all Z_1 (hAPP_complex_complex(sgn_sgn_complex,Z_1)=hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,Z_1),of_real_complex(hAPP_complex_real(norm_norm_complex,Z_1)))).
% 224.58/223.28  all X_1 Y_1 R_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_1)),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),R_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_1),R_3))).
% 224.58/223.28  all R_3 X_1 Y_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),X_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),Y_1))).
% 224.58/223.28  all R_3 X_1 Y_1 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_1))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),X_1)),Y_1)).
% 224.58/223.28  all X_1 Y_1 R_3 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_1)),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),R_3)),Y_1)).
% 224.58/223.28  hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=of_real_complex(hAPP_int_real(number267125858f_real,min)).
% 224.58/223.28  all R_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),ii)=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),R_3)).
% 224.58/223.28  all R_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),of_real_complex(R_3))=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),R_3)).
% 224.58/223.28  of_real_complex(hAPP_real_real(uminus_uminus_real,one_one_real))=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 224.58/223.28  all R_3 A_3 (hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_3)),hAPP_real_real(sin,A_3))))=hAPP_real_real(abs_abs_real,R_3)).
% 224.58/223.28  expi(hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),of_real_complex(pi))),ii))=one_one_complex.
% 224.58/223.28  all A_3 B_2 (expi(hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_3),B_2))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,expi(A_3)),expi(B_2))).
% 224.58/223.28  expi(zero_zero_complex)=one_one_complex.
% 224.58/223.28  all Z_1 exists R_1 A_2 (Z_1=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_1)),hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_2)),hAPP_real_real(sin,A_2)))).
% 224.58/223.28  all F A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))-> (exists Y (hBOOL(hAPP_real_bool(deriv_real(F,X),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,A)),hAPP_real_real(F,B))))).
% 224.58/223.28  all F A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))-> (exists Y (hBOOL(hAPP_real_bool(deriv_real(F,X),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),zero_zero_real))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,B)),hAPP_real_real(F,A))))).
% 224.58/223.28  all I_1 P_1 K_1 (hBOOL(hAPP_int_bool(P_1,K_1))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),I_2))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_2),one_one_int)))))))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K_1))-> (hBOOL(hAPP_int_bool(P_1,I_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I_2),one_one_int)))))))->hBOOL(hAPP_int_bool(P_1,I_1))))).
% 224.58/223.28  all P_1 P_2 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X K (is_int(X)&is_int(K)-> (hBOOL(hAPP_int_bool(P_2,X))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D)))))))-> ((exists Z all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X))-> (hBOOL(hAPP_int_bool(P_1,X))<->hBOOL(hAPP_int_bool(P_2,X))))))-> ((exists X1 hBOOL(hAPP_int_bool(P_2,X1)))-> (exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1)))))))).
% 224.58/223.28  all P_1 P1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X K (is_int(X)&is_int(K)-> (hBOOL(hAPP_int_bool(P1,X))<->hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D)))))))-> ((exists Z all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Z))-> (hBOOL(hAPP_int_bool(P_1,X))<->hBOOL(hAPP_int_bool(P1,X))))))-> ((exists X1 hBOOL(hAPP_int_bool(P1,X1)))-> (exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1)))))))).
% 224.58/223.28  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.28  all D A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),A))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),B))).
% 224.58/223.28  all B_2 D_3 A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2))))).
% 224.58/223.28  all D_3 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_3))).
% 224.58/223.28  all D_3 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),B_2))).
% 224.58/223.28  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,N),N))<->N=one_one_nat).
% 224.58/223.28  all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),one_one_nat)).
% 224.58/223.28  all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,one_one_nat),A_3)).
% 224.58/223.28  all A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,B),A))).
% 224.58/223.28  all E_1 B_2 D_3 A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E_1),B_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),E_1))))).
% 224.58/223.28  all N_1 D_3 A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_3),N_1)))).
% 224.58/223.28  all N_1 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_2),N_1)))).
% 224.58/223.28  all N_1 (archim1246769320r_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1)).
% 224.58/223.28  all X_1 (natfloor(X_1)=hAPP_int_nat(nat,archim1246769320r_real(X_1))).
% 224.58/223.28  all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(suc,zero_zero_nat)),A_3)).
% 224.58/223.28  all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),hAPP_nat_nat(suc,zero_zero_nat))).
% 224.58/223.28  all D (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,zero_zero_nat),D))<->D=one_one_nat).
% 224.58/223.28  all D (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D),zero_zero_nat))<->D=one_one_nat).
% 224.58/223.28  all N_1 M R_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),R_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),R_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)),R_3))))).
% 224.58/223.28  all D_3 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_3),A_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_3),B_2)))).
% 224.58/223.28  all A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B))<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),A))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),B))<->D_2=one_one_nat))).
% 224.58/223.28  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),N_1)).
% 224.58/223.28  all A N B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A),hAPP_nat_nat(suc,N))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B),hAPP_nat_nat(suc,N))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B))).
% 224.58/223.28  all N_1 (N_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),N_1))).
% 224.58/223.28  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N_1)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))))->hAPP_int_nat(nat,archim1246769320r_real(X_1))=N_1)).
% 224.58/223.28  all N_1 (archim1246769320r_real(hAPP_real_real(uminus_uminus_real,hAPP_nat_real(real_nat,N_1)))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N_1))).
% 224.58/223.28  all B_2 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,archim1246769320r_real(A_3)),archim1246769320r_real(B_2))),archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),B_2)))))).
% 224.58/223.28  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))))->hAPP_int_nat(nat,archim1246769320r_real(X_1))=N_1)).
% 224.58/223.28  all A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B))<-> (exists X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),X)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),Y))=one_one_nat|hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),X)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),Y))=one_one_nat))).
% 224.58/223.28  all A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),B_2))-> (B_2!=one_one_nat-> (exists X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),X)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),Y)),one_one_nat))))).
% 224.58/223.28  all V_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_2),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_2)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(pred,V_2)))).
% 224.58/223.28  all X_1 (is_int(X_1)->hAPP_int_int(succ,hAPP_int_int(pred,X_1))=X_1).
% 224.58/223.28  all K_2 (hAPP_int_int(pred,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit0,K_2)).
% 224.58/223.28  all K_2 (hAPP_int_int(pred,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit1,hAPP_int_int(pred,K_2))).
% 224.58/223.28  all K_1 L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K_1),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(pred,K_1)),L))).
% 224.58/223.28  hAPP_int_int(pred,pls)=min.
% 224.58/223.28  hAPP_int_int(pred,min)=hAPP_int_int(bit0,min).
% 224.58/223.28  all K_2 (hAPP_int_int(pred,K_2)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),one_one_int)).
% 224.58/223.28  all K_2 (hAPP_int_int(uminus_uminus_int,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit1,hAPP_int_int(pred,hAPP_int_int(uminus_uminus_int,K_2)))).
% 224.58/223.28  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),min)=hAPP_int_int(pred,K_2)).
% 224.58/223.28  all K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,min),K_2)=hAPP_int_int(pred,K_2)).
% 224.58/223.28  all K_2 L_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(bit0,K_2)),hAPP_int_int(bit1,L_2))=hAPP_int_int(bit1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(pred,K_2)),L_2))).
% 224.58/223.28  all V (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))<->hAPP_int_nat(number_number_of_nat,V)=zero_zero_nat).
% 224.58/223.28  all M V_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(pred,V_2)))).
% 224.58/223.28  all Z_1 exists A_2 R_1 (Z_1=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_1)),expi(A_2))).
% 224.58/223.28  all X_3 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hBOOL(hAPP_f448129468l_bool(resSet(Ma),X_3))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_3)))).
% 224.58/223.28  all Ma X_3 (hBOOL(hAPP_f448129468l_bool(resSet(Ma),X_3))<-> (all Y1 Y2 (is_int(Y1)&is_int(Y2)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y1),X_3))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y2),X_3))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Y1),Y2),Ma))->Y1=Y2)))).
% 224.58/223.28  all P_5 hBOOL(hAPP_f448129468l_bool(resSet(P_5),hAPP_i1948725293t_bool(sRStar,P_5))).
% 224.58/223.28  all Nat (hAPP_nat_nat(nat_size,hAPP_nat_nat(suc,Nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(nat_size,Nat)),hAPP_nat_nat(suc,zero_zero_nat))).
% 224.58/223.28  all Nat (hAPP_nat_nat(size_size_nat,hAPP_nat_nat(suc,Nat))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(size_size_nat,Nat)),hAPP_nat_nat(suc,zero_zero_nat))).
% 224.58/223.28  code_c271388182l_size(zero_z126310315umeral)=zero_zero_nat.
% 224.58/223.28  all N_1 (hAPP_nat_nat(size_size_nat,N_1)=N_1).
% 224.58/223.28  hAPP_nat_nat(size_size_nat,zero_zero_nat)=zero_zero_nat.
% 224.58/223.28  hAPP_nat_nat(nat_size,zero_zero_nat)=zero_zero_nat.
% 224.58/223.28  all Code_numeral_1 (code_c271388182l_size(code_S1047413653umeral(Code_numeral_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,code_c271388182l_size(Code_numeral_1)),hAPP_nat_nat(suc,zero_zero_nat))).
% 224.58/223.28  all Z_1 (hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_1),hAPP_complex_complex(cnj,Z_1)))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(norm_norm_complex,Z_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.58/223.28  all X_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(invers1449016382omplex,X_1))=hAPP_complex_complex(invers1449016382omplex,hAPP_complex_complex(cnj,X_1))).
% 224.58/223.28  all Z_2 (hAPP_complex_complex(cnj,Z_2)=zero_zero_complex<->Z_2=zero_zero_complex).
% 224.58/223.28  hAPP_complex_complex(cnj,zero_zero_complex)=zero_zero_complex.
% 224.58/223.28  all W (hAPP_complex_complex(cnj,hAPP_int_complex(number528085621omplex,W))=hAPP_int_complex(number528085621omplex,W)).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_1))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(cnj,X_1)),hAPP_complex_complex(cnj,Y_1))).
% 224.58/223.28  hAPP_complex_complex(cnj,one_one_complex)=one_one_complex.
% 224.58/223.28  all X_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(uminus473333897omplex,X_1))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(cnj,X_1))).
% 224.58/223.28  all X_2 Y_2 (hAPP_complex_complex(cnj,X_2)=hAPP_complex_complex(cnj,Y_2)<->X_2=Y_2).
% 224.58/223.28  all Z_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(cnj,Z_1))=Z_1).
% 224.58/223.28  all Code_numeral_5 Code_numeral_4 (code_S1047413653umeral(Code_numeral_5)=code_S1047413653umeral(Code_numeral_4)<->Code_numeral_5=Code_numeral_4).
% 224.58/223.28  all N_1 (hAPP_complex_complex(cnj,hAPP_nat_complex(semiri2020571505omplex,N_1))=hAPP_nat_complex(semiri2020571505omplex,N_1)).
% 224.58/223.28  all Z_1 (hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,Z_1))=hAPP_complex_real(norm_norm_complex,Z_1)).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Y_1))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(cnj,X_1)),hAPP_complex_complex(cnj,Y_1))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),Y_1))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(cnj,X_1)),hAPP_complex_complex(cnj,Y_1))).
% 224.58/223.28  all X_1 N_1 (hAPP_complex_complex(cnj,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_1),N_1))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(cnj,X_1)),N_1)).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X_1),Y_1))=hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(cnj,X_1)),hAPP_complex_complex(cnj,Y_1))).
% 224.58/223.28  all X_1 (hAPP_complex_complex(cnj,of_real_complex(X_1))=of_real_complex(X_1)).
% 224.58/223.28  all Code_numeral_3 (code_S1047413653umeral(Code_numeral_3)!=zero_z126310315umeral).
% 224.58/223.28  all Code_numeral_2 (zero_z126310315umeral!=code_S1047413653umeral(Code_numeral_2)).
% 224.58/223.28  all A_3 B_2 (hAPP_complex_complex(cnj,hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2))=hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),hAPP_real_real(uminus_uminus_real,B_2))).
% 224.58/223.28  hAPP_complex_complex(cnj,ii)=hAPP_complex_complex(uminus473333897omplex,ii).
% 224.58/223.28  all N_1 (hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,code_S1047413653umeral(N_1)),one_on1645066479umeral)=N_1).
% 224.58/223.28  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))))).
% 224.58/223.28  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))))).
% 224.58/223.28  exists K_4 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))).
% 224.58/223.28  all Code_numeral_1 (hAPP_C2129356693al_nat(size_s945831648umeral,code_S1047413653umeral(Code_numeral_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_C2129356693al_nat(size_s945831648umeral,Code_numeral_1)),hAPP_nat_nat(suc,zero_zero_nat))).
% 224.58/223.28  all Z_1 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Z_1),hAPP_complex_complex(cnj,Z_1))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_complex_real(im,Z_1)))),ii)).
% 224.58/223.28  all Y_1 (Y_1!=zero_z126310315umeral-> -(all Code_numeral (Y_1!=code_S1047413653umeral(Code_numeral)))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(im,hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_1))=Y_1).
% 224.58/223.28  all X_1 (hAPP_complex_real(im,hAPP_complex_complex(cnj,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X_1))).
% 224.58/223.28  all Z_1 (hAPP_complex_real(im,of_real_complex(Z_1))=zero_zero_real).
% 224.58/223.28  hAPP_complex_real(im,ii)=one_one_real.
% 224.58/223.28  hAPP_complex_real(im,zero_zero_complex)=zero_zero_real.
% 224.58/223.28  hAPP_complex_real(im,one_one_complex)=zero_zero_real.
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(im,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_complex_real(im,X_1)),hAPP_complex_real(im,Y_1))).
% 224.58/223.28  all V_2 (hAPP_complex_real(im,hAPP_int_complex(number528085621omplex,V_2))=zero_zero_real).
% 224.58/223.28  all X_1 (hAPP_complex_real(im,hAPP_complex_complex(uminus473333897omplex,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X_1))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(im,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_complex_real(im,X_1)),hAPP_complex_real(im,Y_1))).
% 224.58/223.28  all N_1 (hAPP_complex_real(im,hAPP_nat_complex(semiri2020571505omplex,N_1))=zero_zero_real).
% 224.58/223.28  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_complex_real(im,X_1))),hAPP_complex_real(norm_norm_complex,X_1))).
% 224.58/223.28  all Z_1 (hAPP_complex_real(im,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_1),hAPP_complex_complex(cnj,Z_1)))=zero_zero_real).
% 224.58/223.28  all Z_1 (hAPP_complex_real(im,hAPP_complex_complex(sgn_sgn_complex,Z_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_complex_real(im,Z_1)),hAPP_complex_real(norm_norm_complex,Z_1))).
% 224.58/223.28  hAPP_C2129356693al_nat(size_s945831648umeral,zero_z126310315umeral)=zero_zero_nat.
% 224.58/223.28  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))))).
% 224.58/223.28  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))))).
% 224.58/223.28  exists K_4 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))).
% 224.58/223.28  all X_1 (hAPP_complex_complex(invers1449016382omplex,X_1)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_complex_real(re,X_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(im,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X_1))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(im,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.58/223.28  all Z_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_1),hAPP_complex_complex(cnj,Z_1))=of_real_complex(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,Z_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(im,Z_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.28  all X_1 (hAPP_complex_real(im,hAPP_complex_complex(invers1449016382omplex,X_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X_1))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(im,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(re,hAPP_real_complex(hAPP_r265291036omplex(complex,X_1),Y_1))=X_1).
% 224.58/223.28  all Z_1 (hAPP_complex_real(re,of_real_complex(Z_1))=Z_1).
% 224.58/223.28  all X_1 (hAPP_complex_real(re,hAPP_complex_complex(cnj,X_1))=hAPP_complex_real(re,X_1)).
% 224.58/223.28  all X_2 Y_2 (X_2=Y_2<->hAPP_complex_real(re,X_2)=hAPP_complex_real(re,Y_2)&hAPP_complex_real(im,X_2)=hAPP_complex_real(im,Y_2)).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(re,X_1)=hAPP_complex_real(re,Y_1)-> (hAPP_complex_real(im,X_1)=hAPP_complex_real(im,Y_1)->X_1=Y_1)).
% 224.58/223.28  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(re,X_1)),hAPP_complex_real(norm_norm_complex,X_1))).
% 224.58/223.28  hAPP_complex_real(re,ii)=zero_zero_real.
% 224.58/223.28  all Z_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_complex_real(re,Z_1)),hAPP_complex_real(im,Z_1))=Z_1).
% 224.58/223.28  hAPP_complex_real(re,zero_zero_complex)=zero_zero_real.
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_complex_real(re,X_1)),hAPP_complex_real(re,Y_1))).
% 224.58/223.28  hAPP_complex_real(re,one_one_complex)=one_one_real.
% 224.58/223.28  all X_1 (hAPP_complex_real(re,hAPP_complex_complex(uminus473333897omplex,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(re,X_1))).
% 224.58/223.28  all V_2 (hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,V_2))=hAPP_int_real(number267125858f_real,V_2)).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_complex_real(re,X_1)),hAPP_complex_real(re,Y_1))).
% 224.58/223.28  all N_1 (hAPP_complex_real(re,hAPP_nat_complex(semiri2020571505omplex,N_1))=hAPP_nat_real(semiri132038758t_real,N_1)).
% 224.58/223.28  all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_complex_real(re,X_1))),hAPP_complex_real(norm_norm_complex,X_1))).
% 224.58/223.28  all Z_1 (hAPP_complex_real(re,hAPP_complex_complex(sgn_sgn_complex,Z_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_complex_real(re,Z_1)),hAPP_complex_real(norm_norm_complex,Z_1))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(im,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,X_1)),hAPP_complex_real(im,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(im,X_1)),hAPP_complex_real(re,Y_1)))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,X_1)),hAPP_complex_real(re,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(im,X_1)),hAPP_complex_real(im,Y_1)))).
% 224.58/223.28  all Z_1 (hAPP_complex_complex(cnj,Z_1)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_complex_real(re,Z_1)),hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,Z_1)))).
% 224.58/223.28  all Z_1 (hAPP_complex_real(norm_norm_complex,Z_1)=hAPP_real_real(sqrt,hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_1),hAPP_complex_complex(cnj,Z_1))))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Y_1)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_complex_real(re,X_1)),hAPP_complex_real(re,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_complex_real(im,X_1)),hAPP_complex_real(im,Y_1)))).
% 224.58/223.28  all X_1 (hAPP_complex_complex(uminus473333897omplex,X_1)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,hAPP_complex_real(re,X_1))),hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X_1)))).
% 224.58/223.28  all X_1 Y_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_1),Y_1)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,X_1)),hAPP_complex_real(re,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(im,X_1)),hAPP_complex_real(im,Y_1)))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,X_1)),hAPP_complex_real(im,Y_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(im,X_1)),hAPP_complex_real(re,Y_1))))).
% 224.58/223.28  all Z_1 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Z_1),hAPP_complex_complex(cnj,Z_1))=of_real_complex(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_complex_real(re,Z_1)))).
% 224.58/223.28  all Z_1 (hAPP_complex_real(norm_norm_complex,Z_1)=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,Z_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(im,Z_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.28  all X_1 (hAPP_complex_real(re,hAPP_complex_complex(invers1449016382omplex,X_1))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_complex_real(re,X_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(im,X_1)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.58/223.28  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))))).
% 224.58/223.28  exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))))).
% 224.58/223.28  exists K_4 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X)),K_4))).
% 224.58/223.28  all Z_1 (expi(Z_1)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(hAPP_real_real(exp_real,hAPP_complex_real(re,Z_1)))),cis(hAPP_complex_real(im,Z_1)))).
% 224.58/223.28  all N_1 A_3 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_3))=hAPP_complex_real(im,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_3)),N_1))).
% 224.58/223.28  all N_1 A_3 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_3))=hAPP_complex_real(re,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_3)),N_1))).
% 224.58/223.28  all A_3 (hAPP_complex_real(re,cis(A_3))=hAPP_real_real(cos,A_3)).
% 224.58/223.28  all A_3 (hAPP_complex_real(im,cis(A_3))=hAPP_real_real(sin,A_3)).
% 224.58/223.28  all A_3 B_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,cis(A_3)),cis(B_2))=cis(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_3),B_2))).
% 224.58/223.28  cis(zero_zero_real)=one_one_complex.
% 224.58/223.28  all A_3 (hAPP_complex_complex(invers1449016382omplex,cis(A_3))=cis(hAPP_real_real(uminus_uminus_real,A_3))).
% 224.58/223.28  all A_3 B_2 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,cis(A_3)),cis(B_2))=cis(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_3),B_2))).
% 224.58/223.28  all A_3 (cis(A_3)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_3)),hAPP_real_real(sin,A_3))).
% 224.58/223.28  all A_3 N_1 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_3)),N_1)=cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_3))).
% 224.58/223.28  all N_1 A_3 (cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))),A_3))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,cis(A_3)),cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_3)))).
% 224.58/223.28  all X_1 (bezw(X_1,zero_zero_nat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),zero_zero_int)).
% 224.58/223.28  all Y_1 X_1 Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_1),Z_1)))).
% 224.58/223.28  all Z_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_1),Z_1)))).
% 224.58/223.28  all Y_1 X_1 Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_1),Z_1)))).
% 224.58/223.28  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))).
% 224.58/223.28  all Z_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),Y_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_1),Z_1)))).
% 224.58/223.28  all M P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),M)))).
% 224.58/223.28  all B_2 A_3 (is_int(A_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_2))->divmod_int(A_3,B_2)=posDivAlg(A_3,B_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_2))-> (A_3=zero_zero_int->divmod_int(A_3,B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))& (A_3!=zero_zero_int->divmod_int(A_3,B_2)=hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_3),hAPP_int_int(uminus_uminus_int,B_2))))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->divmod_int(A_3,B_2)=negDivAlg(A_3,B_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->divmod_int(A_3,B_2)=hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_3),hAPP_int_int(uminus_uminus_int,B_2)))))).
% 224.58/223.28  -hBOOL(hAPP_nat_bool(prime,zero_zero_nat)).
% 224.58/223.28  -hBOOL(hAPP_nat_bool(prime,one_one_nat)).
% 224.58/223.28  all Q_2 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(prime,Q_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),Q_2))->P_3=Q_2))).
% 224.58/223.28  all Q_2 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(prime,Q_2))-> (P_3!=Q_2->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),Q_2))))).
% 224.58/223.28  -hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(suc,zero_zero_nat))).
% 224.58/223.28  all P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),P_3))).
% 224.58/223.28  all A B P_5 (hBOOL(hAPP_nat_bool(prime,P_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_5),A))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_5),B)))).
% 224.58/223.28  all A_3 B_2 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_2)))).
% 224.58/223.28  all M N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),M))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1)))).
% 224.58/223.28  all P_3 Q_2 (hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_3),Q_2)))->P_3=one_one_nat|Q_2=one_one_nat).
% 224.58/223.28  all X_1 N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N_1))))).
% 224.58/223.28  all X_1 N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),X_1)))).
% 224.58/223.28  all A_3 N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_3),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_3)))).
% 224.58/223.28  all P_5 N (hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_5),N)))<->hBOOL(hAPP_nat_bool(prime,P_5))&N=one_one_nat).
% 224.58/223.28  all P_3 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),B_2))-> -(hBOOL(hAPP_nat_bool(prime,P_3))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_3))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_2)))).
% 224.58/223.28  all N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),N_1))).
% 224.58/223.28  all A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A),B))<-> (all P_4 (-(hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),A))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),B)))))).
% 224.58/223.28  all A_3 (hBOOL(hAPP_nat_bool(prime,A_3))->hBOOL(hAPP_int_bool(zprime,hAPP_nat_int(semiri1621563631at_int,A_3)))).
% 224.58/223.28  all P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),P_3))).
% 224.58/223.28  all P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(suc,zero_zero_nat)))).
% 224.58/223.28  all M N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (N_1!=zero_zero_nat-> (N_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_3),M)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))))).
% 224.58/223.28  all P_5 (hBOOL(hAPP_nat_bool(prime,P_5))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),P_5))& (all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M_1),P_5))->M_1=one_one_nat|M_1=P_5))).
% 224.58/223.28  all D K_1 P_5 (hBOOL(hAPP_nat_bool(prime,P_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_5),K_1)))<-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K_1))&D=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_5),I_2))))).
% 224.58/223.28  all N_1 A_3 B_2 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),B_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),A_3))))).
% 224.58/223.28  all X_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X_1),P_3))))).
% 224.58/223.28  all N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->N_1=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),N_1))).
% 224.58/223.28  all Q_2 R_3 (hAPP_P1975530577nt_int(negateSnd,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),R_3))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),hAPP_int_int(uminus_uminus_int,R_3))).
% 224.58/223.29  all A_3 B_2 Qr_1 (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(uminus_uminus_int,A_3),hAPP_int_int(uminus_uminus_int,B_2)),Qr_1))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_P1975530577nt_int(negateSnd,Qr_1)))).
% 224.58/223.29  hBOOL(hAPP_nat_bool(prime,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.58/223.29  all A_3 B_2 (is_int(B_2)-> (B_2!=zero_zero_int->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),divmod_int(A_3,B_2))))).
% 224.58/223.29  all M P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),M)))).
% 224.58/223.29  all N_1 A_3 B_2 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),B_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),A_3))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N_1)),B_2))))).
% 224.58/223.29  all P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_3))).
% 224.58/223.29  all P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->P_3=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,P_3))).
% 224.58/223.29  all P_3 Q_2 (divmod_int(P_3,Q_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,P_3),Q_2)),hAPP_int_int(div_mod_int(P_3),Q_2))).
% 224.58/223.29  all N_1 M (code_d418564891umeral(N_1,M)=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,N_1),M)),hAPP_C498520661umeral(div_mo1740067990umeral(N_1),M))).
% 224.58/223.29  all M R_3 S_1 T_1 N_1 (is_int(R_3)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (xzgcd(M,N_1)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,R_3),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_1),T_1))->R_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_1),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_1),N_1))))).
% 224.58/223.29  all M N_1 R_5 S_3 S_1 T_2 T_1 R_3 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))->xzgcda(M,N_1,R_5,R_3,S_3,S_1,T_2,T_1)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,R_5),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_3),T_2)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_3),zero_zero_int))->xzgcda(M,N_1,R_5,R_3,S_3,S_1,T_2,T_1)=xzgcda(M,N_1,R_3,hAPP_int_int(div_mod_int(R_5),R_3),S_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,S_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),S_1)),T_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,T_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,R_5),R_3)),T_1))))).
% 224.58/223.29  all M N_1 (xzgcd(M,N_1)=xzgcda(M,N_1,M,N_1,one_one_int,zero_zero_int,zero_zero_int,one_one_int)).
% 224.58/223.29  all M N_1 R_5 S_3 S_1 T_2 T_1 Rn Sn_1 Tn_1 R_3 (is_int(Rn)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))-> (xzgcda(M,N_1,R_5,R_3,S_3,S_1,T_2,T_1)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,Rn),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Sn_1),Tn_1))-> (R_5=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_3),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_2),N_1))-> (R_3=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_1),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T_1),N_1))->Rn=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Sn_1),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Tn_1),N_1))))))).
% 224.58/223.29  all X_1 Y_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X_1),Y_1))-> (exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),X_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),Y_1))))).
% 224.58/223.29  all X_1 K_2 N_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (N_1!=zero_zero_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_1),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),K_2)-> (exists I_2 (X_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),I_2)))))).
% 224.58/223.29  all N_1 (N_1!=one_one_nat-> (exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),N_1))))).
% 224.58/223.29  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->divmod_nat(M,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1)))).
% 224.58/223.29  all A_3 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_3))-> (exists X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),X)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_3),Y)),one_one_nat))))).
% 224.58/223.29  all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N_1))& -hBOOL(hAPP_nat_bool(prime,N_1))-> (exists M_1 K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),M_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),K))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K),N_1))&N_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K)))).
% 224.58/223.29  all M (divmod_nat(M,zero_zero_nat)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M)).
% 224.58/223.29  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N_1))->divmod_nat(M,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M)).
% 224.58/223.29  all M N_1 (divmod_nat(M,N_1)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)),hAPP_nat_nat(div_mod_nat(M),N_1))).
% 224.58/223.29  all C_1 A_3 B_2 Q_2 R_3 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_3,B_2),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_2),R_3)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))->hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_3,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),C_1)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,Q_2),C_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),hAPP_nat_nat(div_mod_nat(Q_2),C_1))),R_3))))))).
% 224.58/223.29  all A_3 B_2 C_1 Q_2 R_3 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(B_2,C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_2),R_3)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))->hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2),C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),Q_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),R_3)),C_1))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),R_3)),C_1)))))).
% 224.58/223.29  all B_2 Bq Br A_3 C_1 Aq Ar (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_3,C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Aq),Ar)))-> (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(B_2,C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Bq),Br)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_1))->hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_3),B_2),C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Aq),Bq)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ar),Br)),C_1))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ar),Br)),C_1))))))).
% 224.58/223.29  all Qr_2 M N_1 Qr_1 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N_1),Qr_1))-> (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N_1),Qr_2))->Qr_1=Qr_2)).
% 224.58/223.29  all M N_1 Qr_1 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N_1),Qr_1))->divmod_nat(M,N_1)=Qr_1).
% 224.58/223.29  all M N_1 hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N_1),divmod_nat(M,N_1))).
% 224.58/223.29  all M N_1 Q_2 R_3 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_2),R_3)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)=Q_2).
% 224.58/223.29  all M N_1 Q_2 R_3 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_2),R_3)))->hAPP_nat_nat(div_mod_nat(M),N_1)=R_3).
% 224.58/223.29  all M N_1 hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)),hAPP_nat_nat(div_mod_nat(M),N_1)))).
% 224.58/223.29  all M N_1 (-(all Q_4 R_1 (-hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_4),R_1)))))).
% 224.58/223.29  all N_1 exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),P_4))).
% 224.58/223.29  all W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W)),zero_zero_int))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,one_one_int),hAPP_int_int(number_number_of_int,W))=hAPP_P1175774780nt_int(product_fst_int_int,hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,one_one_int),hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W)))))).
% 224.58/223.29  all A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=hAPP_P1175774780nt_int(product_fst_int_int,divmod_int(A_3,B_2))).
% 224.58/223.29  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=hAPP_P1175774780nt_int(product_fst_int_int,negDivAlg(A_3,B_2)))).
% 224.58/223.29  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_2))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=hAPP_P1175774780nt_int(product_fst_int_int,posDivAlg(A_3,B_2)))).
% 224.58/223.29  all W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,one_one_int),hAPP_int_int(number_number_of_int,W))=hAPP_P1175774780nt_int(product_fst_int_int,posDivAlg(one_one_int,hAPP_int_int(number_number_of_int,W)))).
% 224.58/223.29  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=hAPP_P1175774780nt_int(product_fst_int_int,hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_3),hAPP_int_int(uminus_uminus_int,B_2)))))).
% 224.58/223.29  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),zero_zero_int))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=hAPP_P1175774780nt_int(product_fst_int_int,hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_3),hAPP_int_int(uminus_uminus_int,B_2)))))).
% 224.58/223.29  all X_1 Y_1 ((Y_1=zero_zero_nat->bezw(X_1,Y_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),zero_zero_int))& (Y_1!=zero_zero_nat->bezw(X_1,Y_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(Y_1,hAPP_nat_nat(div_mod_nat(X_1),Y_1)))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_P1175774780nt_int(product_fst_int_int,bezw(Y_1,hAPP_nat_nat(div_mod_nat(X_1),Y_1)))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(Y_1,hAPP_nat_nat(div_mod_nat(X_1),Y_1)))),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_1),Y_1))))))).
% 224.58/223.29  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Y_1))->bezw(X_1,Y_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(Y_1,hAPP_nat_nat(div_mod_nat(X_1),Y_1)))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_P1175774780nt_int(product_fst_int_int,bezw(Y_1,hAPP_nat_nat(div_mod_nat(X_1),Y_1)))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(Y_1,hAPP_nat_nat(div_mod_nat(X_1),Y_1)))),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X_1),Y_1)))))).
% 224.58/223.29  all W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,W)),zero_zero_int))->hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(number_number_of_int,W))=hAPP_P1175774780nt_int(product_snd_int_int,hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,one_one_int),hAPP_int_int(uminus_uminus_int,hAPP_int_int(number_number_of_int,W)))))).
% 224.58/223.29  all A_3 B_2 (hAPP_int_int(div_mod_int(A_3),B_2)=hAPP_P1175774780nt_int(product_snd_int_int,divmod_int(A_3,B_2))).
% 224.58/223.29  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hAPP_int_int(div_mod_int(A_3),B_2)=hAPP_P1175774780nt_int(product_snd_int_int,negDivAlg(A_3,B_2)))).
% 224.58/223.29  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_2))->hAPP_int_int(div_mod_int(A_3),B_2)=hAPP_P1175774780nt_int(product_snd_int_int,posDivAlg(A_3,B_2)))).
% 224.58/223.29  all W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(number_number_of_int,W))=hAPP_P1175774780nt_int(product_snd_int_int,posDivAlg(one_one_int,hAPP_int_int(number_number_of_int,W)))).
% 224.58/223.29  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))->hAPP_int_int(div_mod_int(A_3),B_2)=hAPP_P1175774780nt_int(product_snd_int_int,hAPP_P1975530577nt_int(negateSnd,negDivAlg(hAPP_int_int(uminus_uminus_int,A_3),hAPP_int_int(uminus_uminus_int,B_2)))))).
% 224.58/223.29  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_3),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_2),zero_zero_int))->hAPP_int_int(div_mod_int(A_3),B_2)=hAPP_P1175774780nt_int(product_snd_int_int,hAPP_P1975530577nt_int(negateSnd,posDivAlg(hAPP_int_int(uminus_uminus_int,A_3),hAPP_int_int(uminus_uminus_int,B_2)))))).
% 224.58/223.29  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N_1)=hAPP_P1654798560at_nat(product_fst_nat_nat,divmod_nat(M,N_1))).
% 224.58/223.29  all M N_1 (hAPP_nat_nat(div_mod_nat(M),N_1)=hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(M,N_1))).
% 224.58/223.29  all Ma N Qr (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(Ma,N),Qr))<->Ma=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)),N)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))& (N=zero_zero_nat->hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)=zero_zero_nat)& (N!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),N)))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_P1654798560at_nat(product_snd_nat_nat,Qr)),zero_zero_nat))))).
% 224.58/223.29  all P_1 N A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N))),hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B),A)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N))).
% 224.58/223.29  all P_1 A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))-> (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N_2)))))).
% 224.58/223.29  all P_1 A B (hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),zero_zero_nat)=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A),B)).
% 224.58/223.29  all P_1 A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))-> (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N_2))),hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),hAPP_nat_nat(suc,N_2))))))).
% 224.58/223.29  all P_1 A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))-> (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),hAPP_nat_nat(suc,N_2)))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N_2)))))).
% 224.58/223.29  all N A B P_1 ((all A_2 B_4 C_3 (hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),B_4)))-> (hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,B_4),C_3)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),B_4))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),C_3))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),C_3))))))))-> (-hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A),B)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))-> -hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N)))))))).
% 224.58/223.29  all A B P_1 ((all A_2 B_4 C_3 (hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),B_4)))&hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,B_4),C_3)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),B_4))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),C_3))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),C_3)))))-> (-hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A),B)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))-> (all N_2 (-hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N_2))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N_2)))))))))).
% 224.58/223.29  one_on1684967323de_int=hAPP_i1732201573de_int(number1226105091de_int,hAPP_int_int(bit1,pls)).
% 224.58/223.29  all K_2 ((K_2=zero_z891286103de_int->quickcheck_int_of(K_2)=zero_zero_int)& (K_2!=zero_z891286103de_int-> (hAPP_Q1762011733de_int(div_mo231679042de_int(K_2),hAPP_i1732201573de_int(number1226105091de_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_z891286103de_int->quickcheck_int_of(K_2)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),quickcheck_int_of(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,K_2),hAPP_i1732201573de_int(number1226105091de_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))& (hAPP_Q1762011733de_int(div_mo231679042de_int(K_2),hAPP_i1732201573de_int(number1226105091de_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_z891286103de_int->quickcheck_int_of(K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),quickcheck_int_of(hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,K_2),hAPP_i1732201573de_int(number1226105091de_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),one_one_int)))).
% 224.58/223.29  all R_3 A_3 N_1 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,rcis(R_3,A_3)),N_1)=rcis(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_3),N_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),A_3))).
% 224.58/223.29  all N Ma (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,N),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,quickcheck_int_of(N)),quickcheck_int_of(Ma)))).
% 224.58/223.29  all N Ma (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,N),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,quickcheck_int_of(N)),quickcheck_int_of(Ma)))).
% 224.58/223.29  all X_2 Y_2 (quickcheck_int_of(X_2)=quickcheck_int_of(Y_2)<->X_2=Y_2).
% 224.58/223.29  all K_1 L (quickcheck_int_of(K_1)=quickcheck_int_of(L)<->K_1=L).
% 224.58/223.29  all K_2 (quickcheck_int_of(hAPP_i1732201573de_int(number1226105091de_int,K_2))=hAPP_int_int(number_number_of_int,K_2)).
% 224.58/223.29  zero_z891286103de_int=hAPP_i1732201573de_int(number1226105091de_int,pls).
% 224.58/223.29  all R_3 (rcis(R_3,zero_zero_real)=of_real_complex(R_3)).
% 224.58/223.29  all R_3 A_3 (hAPP_complex_real(norm_norm_complex,rcis(R_3,A_3))=hAPP_real_real(abs_abs_real,R_3)).
% 224.58/223.29  all A_3 (cis(A_3)=rcis(one_one_real,A_3)).
% 224.58/223.29  all A_3 (rcis(zero_zero_real,A_3)=zero_zero_complex).
% 224.58/223.29  all R_3 A_3 (hAPP_complex_real(re,rcis(R_3,A_3))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(cos,A_3))).
% 224.58/223.29  all R_3 A_3 (hAPP_complex_real(im,rcis(R_3,A_3))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_real_real(sin,A_3))).
% 224.58/223.29  all R1 A_3 R2 B_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,rcis(R1,A_3)),rcis(R2,B_2))=rcis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R1),R2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_3),B_2))).
% 224.58/223.29  all R1 A_3 R2 B_2 (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,rcis(R1,A_3)),rcis(R2,B_2))=rcis(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,R1),R2),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_3),B_2))).
% 224.58/223.29  all R_3 A_3 (rcis(R_3,A_3)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_3)),cis(A_3))).
% 224.58/223.29  all R_3 A_3 (hAPP_complex_complex(invers1449016382omplex,rcis(R_3,A_3))=rcis(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),R_3),hAPP_real_real(uminus_uminus_real,A_3))).
% 224.58/223.29  all N_1 M (quickc495462417de_int(N_1,M)=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,N_1),M)),hAPP_Q1762011733de_int(div_mo231679042de_int(N_1),M))).
% 224.58/223.29  all I (quickcheck_nat_of(I)=hAPP_int_nat(nat,quickcheck_int_of(I))).
% 224.58/223.29  all P_1 A0 (hBOOL(hAPP_int_bool(accp_int(quickc1265749348ro_rel),A0))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(accp_int(quickc1265749348ro_rel),I_2))-> ((-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),zero_zero_int))-> (I_2!=zero_zero_int->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,I_2),one_one_int)))))->hBOOL(hAPP_int_bool(P_1,I_2))))))->hBOOL(hAPP_int_bool(P_1,A0)))).
% 224.58/223.29  all X_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_int_int(fact_fact_int,X_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(fact_fact_nat,hAPP_int_nat(nat,X_1))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_int_int(fact_fact_int,X_1)=zero_zero_int)).
% 224.58/223.29  all M N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(fact_fact_int,M)),hAPP_int_int(fact_fact_int,N_1)))).
% 224.58/223.29  hAPP_int_int(fact_fact_int,one_one_int)=one_one_int.
% 224.58/223.29  all N_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(fact_fact_int,M)),hAPP_int_int(fact_fact_int,N_1))))).
% 224.58/223.29  all M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,M),zero_zero_int))->hAPP_int_int(fact_fact_int,M)=zero_zero_int).
% 224.58/223.29  hAPP_int_int(fact_fact_int,zero_zero_int)=one_one_int.
% 224.58/223.29  all M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,M))).
% 224.58/223.29  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))->hAPP_int_int(fact_fact_int,N_1)!=zero_zero_int).
% 224.58/223.29  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,X_1)))).
% 224.58/223.29  all X_1 (hAPP_int_int(fact_fact_int,hAPP_nat_int(semiri1621563631at_int,X_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(fact_fact_nat,X_1))).
% 224.58/223.29  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(fact_fact_int,N_1)))).
% 224.58/223.29  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_int_int(fact_fact_int,N_1)))).
% 224.58/223.29  all M K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(fact_fact_int,M)),hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M),K_2))))).
% 224.58/223.29  all N_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),hAPP_int_int(fact_fact_int,N_1))))).
% 224.58/223.29  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_nat_nat(fact_fact_nat,hAPP_int_nat(nat,X_1))=hAPP_int_nat(nat,hAPP_int_int(fact_fact_int,X_1))).
% 224.58/223.29  all M K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(fact_fact_int,M)),hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M),one_one_int)),K_2)))))).
% 224.58/223.29  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N_1))->hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int)),hAPP_int_int(fact_fact_int,N_1))).
% 224.58/223.29  all N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))->hAPP_int_int(fact_fact_int,N_1)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int)))).
% 224.58/223.29  all I (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),I))->hAPP_list_int_nat(size_size_list_int,quickc666637781d_zero(I))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_int_nat(nat,I))),one_one_nat)).
% 224.58/223.29  all A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),P_5))->hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(bnorRset(A),P_5))=hAPP_int_nat(nat,A))).
% 224.58/223.29  all P_1 ((all A_2 B_4 C_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),B_4))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),C_3))&hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),B_4)))&hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,B_4),C_3)))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),C_3)))))& (all X exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all A_2 B_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B_4))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_4),A_2)),D_2))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),B_4)))))))-> (all A_2 B_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),B_4))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),B_4)))))).
% 224.58/223.29  all Ma A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B))-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(bnorRset(A),Ma)))).
% 224.58/223.29  all B A Ma (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(bnorRset(A),Ma)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))).
% 224.58/223.29  all A Ma hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(bnorRset(A),Ma))).
% 224.58/223.29  all B A Ma (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(bnorRset(A),Ma)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))).
% 224.58/223.29  all A B P_1 ((all A_2 B_4 C_3 (hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),B_4)))&hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,B_4),C_3)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),B_4))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_4),C_3))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),C_3)))))-> ((all X exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all A_2 B_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_2),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B_4))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_4),A_2)),D_2))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_2),B_4)))))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A),B)))))).
% 224.58/223.29  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,bezw(X_1,Y_1))),hAPP_nat_int(semiri1621563631at_int,X_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(X_1,Y_1))),hAPP_nat_int(semiri1621563631at_int,Y_1)))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1))).
% 224.58/223.29  all M N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)),N_1)).
% 224.58/223.29  all M N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)),M)).
% 224.58/223.29  all M N_1 K_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 224.58/223.29  all N_1 M A_3 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_2),M))=one_one_nat).
% 224.58/223.29  all A_3 N_1 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_3),N_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_2),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),N_1)).
% 224.58/223.29  all A_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),A_3)=A_3).
% 224.58/223.29  all X_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),X_1)=X_1).
% 224.58/223.29  all A_3 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_2),A_3)).
% 224.58/223.29  all X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_1),X_1)).
% 224.58/223.29  all A_3 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)).
% 224.58/223.29  all X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)).
% 224.58/223.29  all B_2 A_3 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),C_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_2),C_1))).
% 224.58/223.29  all X_1 Y_1 Z_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_1),Z_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Z_1))).
% 224.58/223.29  all A_3 B_2 C_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),C_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_2),C_1))).
% 224.58/223.29  all X_1 Y_1 Z_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)),Z_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_1),Z_1))).
% 224.58/223.29  all A_3 B_2 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)))).
% 224.58/223.29  all B_2 A_3 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),A_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),X_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)))).
% 224.58/223.29  all X_1 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),A_3))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),B_2)))).
% 224.58/223.29  all K_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))).
% 224.58/223.29  all K_2 M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M))).
% 224.58/223.29  all B_2 D_3 A_3 C_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),C_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),D_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,C_1),D_3))))).
% 224.58/223.29  all Z_1 X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_1),Z_1))))).
% 224.58/223.29  all B_2 X_1 A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))))).
% 224.58/223.29  all N_1 K_2 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1))))).
% 224.58/223.29  all Y_1 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y_1),X_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)=Y_1).
% 224.58/223.29  all X_1 Y_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),Y_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)=X_1).
% 224.58/223.29  all A_3 B_2 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),X_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),X_1))).
% 224.58/223.29  all B_2 A_3 X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),X_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),X_1))).
% 224.58/223.29  all B D A (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),A))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D),B))& (all E (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),A))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),B))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),D))))<->D=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)).
% 224.58/223.29  all X_2 Y_2 Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_2),Z_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Z_2))).
% 224.58/223.29  all K_1 Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ma),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),Ma))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),N))).
% 224.58/223.29  all X_2 Y_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_2),Y_2))<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_2),Y_2)=X_2).
% 224.58/223.29  all X_1 Y_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)),Y_1)).
% 224.58/223.29  all X_1 Y_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)),X_1)).
% 224.58/223.29  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)).
% 224.62/223.29  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)).
% 224.62/223.29  all K_2 M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N_1))).
% 224.62/223.29  all X_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,one_one_nat),X_1)=one_one_nat).
% 224.62/223.29  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),one_one_nat)=one_one_nat).
% 224.62/223.29  all X_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),one_one_nat)=one_one_nat).
% 224.62/223.29  all X_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,zero_zero_nat),X_1)=X_1).
% 224.62/223.29  all X_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),zero_zero_nat)=X_1).
% 224.62/223.29  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ma),N)=zero_zero_nat<->Ma=zero_zero_nat&N=zero_zero_nat).
% 224.62/223.29  all X_2 Y_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_2),Y_2)=zero_zero_nat<->X_2=zero_zero_nat&Y_2=zero_zero_nat).
% 224.62/223.29  all X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_1),hAPP_nat_nat(div_mod_nat(X_1),Y_1))).
% 224.62/223.29  all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),hAPP_nat_nat(suc,zero_zero_nat))=hAPP_nat_nat(suc,zero_zero_nat)).
% 224.62/223.29  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ma),N)))<->Ma!=zero_zero_nat|N!=zero_zero_nat).
% 224.62/223.29  all A_3 B_2 (B_2!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),B_2))).
% 224.62/223.29  all B_2 A_3 (A_3!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)),A_3))).
% 224.62/223.29  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(suc,N_1)),N_1)=one_one_nat).
% 224.62/223.29  all M K_2 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)).
% 224.62/223.29  all X_1 A_3 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)=one_one_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_1),B_2))->X_1=one_one_nat))).
% 224.62/223.29  all A B (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)=one_one_nat<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),A))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),B))<->D_2=one_one_nat))).
% 224.62/223.29  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_1),one_one_nat)),N_1)=one_one_nat).
% 224.62/223.29  all D_3 A_3 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2))=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),B_2)=one_one_nat).
% 224.62/223.29  all D_3 A_3 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2))=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_3)=one_one_nat).
% 224.62/223.29  all B C A D (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),D)=one_one_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B),C)=one_one_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B),D)<->A=B&C=D))).
% 224.62/223.29  all B_2 D_3 A_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_3)=one_one_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),B_2)=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2))=one_one_nat)).
% 224.62/223.29  all M K_2 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_2),N_1)=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)).
% 224.62/223.29  all D A B (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A),B))=one_one_nat<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),A)=one_one_nat&hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D),B)=one_one_nat).
% 224.62/223.29  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)).
% 224.62/223.29  all N_1 M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),M))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N_1)),N_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)).
% 224.62/223.29  all X_1 Y_1 ((Y_1=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)=X_1)& (Y_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_1),hAPP_nat_nat(div_mod_nat(X_1),Y_1)))).
% 224.62/223.29  all X_1 Y_1 (Y_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y_1),hAPP_nat_nat(div_mod_nat(X_1),Y_1))).
% 224.62/223.29  all N_1 D_3 A_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),A_3)=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_3),N_1))=one_one_nat).
% 224.62/223.29  all N_1 (archim856651990g_real(hAPP_nat_real(real_nat,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1)).
% 224.62/223.29  all X_1 (natceiling(X_1)=hAPP_int_nat(nat,archim856651990g_real(X_1))).
% 224.62/223.29  all B_5 A_5 A_3 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)!=zero_zero_nat-> (A_3=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))-> (B_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_5),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_5),B_5)=one_one_nat))).
% 224.62/223.29  all N_1 (N_1!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),one_one_nat)),N_1)=one_one_nat).
% 224.62/223.29  all N_1 M R_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),R_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N_1),R_3))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N_1)=one_one_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)),R_3))))).
% 224.62/223.29  all Ma K_1 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_1),N)=one_one_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),N)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_1),Ma)))).
% 224.62/223.29  all M K_2 N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_2),N_1)=one_one_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M)))).
% 224.62/223.29  all B_2 A_3 (A_3!=zero_zero_nat|B_2!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,A_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,B_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)))=one_one_nat).
% 224.62/223.29  all X_1 Y_1 M (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_1)),M)=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),M)=one_one_nat).
% 224.62/223.29  all A B (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A),B)=one_one_nat<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),A))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),B))<->D_2=hAPP_nat_nat(suc,zero_zero_nat)))).
% 224.62/223.29  all A_3 B_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)!=zero_zero_nat-> (exists A_4 B_3 (A_3=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_4),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))&B_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_3),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))&hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_4),B_3)=one_one_nat))).
% 224.62/223.29  all B_2 A_3 (A_3!=zero_zero_nat-> (exists X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),X)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),Y)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))))).
% 224.62/223.29  all X_3 (hBOOL(cauchy_real(X_3))<-> (all J_1 exists M_3 all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),M_1))-> (all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(X_3,M_1)),hAPP_nat_real(X_3,N_2)))),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,J_1)))))))))).
% 224.62/223.29  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N_1)),one_one_real)))->archim856651990g_real(X_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))).
% 224.62/223.29  all A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X_1)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),A_3))))).
% 224.62/223.29  all X_1 A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)!=zero_zero_real).
% 224.62/223.29  all A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,one_one_real),A_3)=one_one_real).
% 224.62/223.29  all N_1 (is_int(N_1)->archim1246769320r_real(hAPP_int_real(real_int,N_1))=N_1).
% 224.62/223.29  all X_2 (hAPP_int_real(real_int,archim1246769320r_real(X_2))=X_2<-> (exists N_2 (is_int(N_2)&X_2=hAPP_int_real(real_int,N_2)))).
% 224.62/223.29  all X_1 A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),B_2)=hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),B_2))).
% 224.62/223.29  all X_1 A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),B_2)=hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),B_2)),A_3)).
% 224.62/223.29  all X_2 Y_2 (is_int(X_2)&is_int(Y_2)-> (hAPP_int_real(real_int,X_2)=hAPP_int_real(real_int,Y_2)<->X_2=Y_2)).
% 224.62/223.29  hAPP_int_real(real_int,zero_zero_int)=zero_zero_real.
% 224.62/223.29  all X_2 (is_int(X_2)-> (hAPP_int_real(real_int,X_2)=zero_zero_real<->X_2=zero_zero_int)).
% 224.62/223.29  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,X_2)),hAPP_int_real(real_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),Y_2))).
% 224.62/223.29  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,X_2)),hAPP_int_real(real_int,Y_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_2),Y_2))).
% 224.62/223.29  all X_1 Y_1 (hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1))).
% 224.62/223.29  all X_1 N_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(real_int,X_1)),N_1)=hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N_1))).
% 224.62/223.29  all X_1 N_1 (hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(real_int,X_1)),N_1)).
% 224.62/223.29  all N_1 (hAPP_int_real(real_int,hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_real(real_nat,N_1)).
% 224.62/223.29  all X_1 Y_1 (hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1))).
% 224.62/223.29  all V_2 (hAPP_int_real(real_int,hAPP_int_int(number_number_of_int,V_2))=hAPP_int_real(number267125858f_real,V_2)).
% 224.62/223.29  hAPP_int_real(real_int,one_one_int)=one_one_real.
% 224.62/223.29  all X_1 Y_1 (hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,Y_1))).
% 224.62/223.29  all N_1 (is_int(N_1)->archim856651990g_real(hAPP_int_real(real_int,N_1))=N_1).
% 224.62/223.29  all X_2 (hAPP_int_real(real_int,archim856651990g_real(X_2))=X_2<-> (exists N_2 (is_int(N_2)&X_2=hAPP_int_real(real_int,N_2)))).
% 224.62/223.29  all X_1 (hAPP_int_real(real_int,hAPP_int_int(uminus_uminus_int,X_1))=hAPP_real_real(uminus_uminus_real,hAPP_int_real(real_int,X_1))).
% 224.62/223.29  all X_1 (hAPP_int_real(real_int,hAPP_int_int(abs_abs_int,X_1))=hAPP_real_real(abs_abs_real,hAPP_int_real(real_int,X_1))).
% 224.62/223.29  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),R_3)).
% 224.62/223.29  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_3),hAPP_int_real(real_int,archim856651990g_real(R_3)))).
% 224.62/223.29  all X_1 Y_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Y_1))).
% 224.62/223.29  all Y_1 X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,Y_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)))))).
% 224.62/223.29  all Y_1 X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y_1),A_3)))))).
% 224.62/223.29  all X_1 A_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3))).
% 224.62/223.29  all X_1 A_3 B_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_3),B_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),B_2))))).
% 224.62/223.29  all X_1 (hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),zero_zero_real)=one_one_real).
% 224.62/223.29  all X_1 A_3 B_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),B_2)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),B_2)))).
% 224.62/223.29  all X_1 A_3 B_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),B_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),B_2))))).
% 224.62/223.29  all A B X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_2),A)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_2),B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B)))).
% 224.62/223.29  all X_1 A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_3),B_2))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),B_2))).
% 224.62/223.29  all X_1 A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),B_2))=hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_3),B_2))).
% 224.62/223.30  all X_1 A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),hAPP_real_real(uminus_uminus_real,A_3))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3))).
% 224.62/223.30  all N_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),X_1))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,X_1)))).
% 224.62/223.30  all X_2 A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(X_2)),A))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),hAPP_int_real(real_int,A)))).
% 224.62/223.30  all A X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),archim1246769320r_real(X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A)),X_2))).
% 224.62/223.30  all A_3 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),archim1246769320r_real(X_1)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_3)),X_1))).
% 224.62/223.30  all A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_3)),X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),archim1246769320r_real(X_1)))).
% 224.62/223.30  all X_1 A_3 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_int_real(real_int,A_3)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1246769320r_real(X_1)),A_3)).
% 224.62/223.30  all A X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),archim856651990g_real(X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,A)),X_2))).
% 224.62/223.30  all X_1 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),A_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,A_3)))).
% 224.62/223.30  all X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,A_3)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_1)),A_3))).
% 224.62/223.30  all X_2 A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X_2)),A))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),hAPP_int_real(real_int,A)))).
% 224.62/223.30  all N_1 X_1 (X_1=hAPP_int_real(real_int,archim1246769320r_real(X_1))->archim1246769320r_real(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,archim1246769320r_real(X_1)),N_1)).
% 224.62/223.30  all X_1 A_3 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),hAPP_int_real(real_int,A_3)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1246769320r_real(X_1)),A_3)).
% 224.62/223.30  all X_1 A_3 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_int_real(real_int,A_3)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim856651990g_real(X_1)),A_3)).
% 224.62/223.30  all N_1 (archim1246769320r_real(hAPP_real_real(uminus_uminus_real,hAPP_int_real(real_int,N_1)))=hAPP_int_int(uminus_uminus_int,N_1)).
% 224.62/223.30  all X_1 A_3 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),hAPP_int_real(real_int,A_3)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim856651990g_real(X_1)),A_3)).
% 224.62/223.30  all Y_1 X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Y_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y_1),A_3)))))).
% 224.62/223.30  all A_3 Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_1),Y_1)),A_3)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y_1),A_3)))).
% 224.62/223.30  all A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3))))).
% 224.62/223.30  all A B X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_2),A)),hAPP_real_real(hAPP_r1250527377l_real(powr,X_2),B)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B)))).
% 224.62/223.30  all X_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,X_2),one_one_real)=X_2<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))).
% 224.62/223.30  all A_3 Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_1),Y_1)),A_3)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y_1),A_3)))).
% 224.62/223.30  all X_1 A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),hAPP_real_real(uminus_uminus_real,A_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3))).
% 224.62/223.30  all X_1 A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),A_3)=hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),hAPP_real_real(ln,X_1)))).
% 224.62/223.30  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),zero_zero_int))).
% 224.62/223.30  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(real_int,N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))).
% 224.62/223.30  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int))).
% 224.62/223.30  all N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(real_int,N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))).
% 224.62/223.30  all Ma N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Ma)),hAPP_int_real(number267125858f_real,N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ma),hAPP_int_int(number_number_of_int,N)))).
% 224.62/223.30  all N Ma (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,N)),hAPP_int_real(real_int,Ma)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,N)),Ma))).
% 224.62/223.30  all Ma N (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Ma)),hAPP_int_real(number267125858f_real,N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ma),hAPP_int_int(number_number_of_int,N)))).
% 224.62/223.30  all N Ma (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,N)),hAPP_int_real(real_int,Ma)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,N)),Ma))).
% 224.62/223.30  all N Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),Ma))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)),hAPP_int_real(real_int,Ma)))).
% 224.62/223.30  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,X_1)),one_one_real)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N_1),X_1))).
% 224.62/223.30  all N Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),Ma))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,Ma)),one_one_real)))).
% 224.62/223.30  all X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))->hAPP_nat_real(real_nat,hAPP_int_nat(nat,X_1))=hAPP_int_real(real_int,X_1)).
% 224.62/223.30  all N_1 D_3 (is_int(D_3)-> (D_3!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),N_1))->hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),D_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,D_3))))).
% 224.62/223.30  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),one_one_real))).
% 224.62/223.30  all N_1 X_1 (is_int(N_1)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N_1)),one_one_real)))->archim1246769320r_real(X_1)=N_1))).
% 224.62/223.30  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,archim1246769320r_real(R_3))),one_one_real))).
% 224.62/223.30  all X_1 I (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(real_int,I)),pi)))=hAPP_real_real(tan,X_1)).
% 224.62/223.30  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R_3)))).
% 224.62/223.30  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_3),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R_3)))).
% 224.62/223.30  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim856651990g_real(R_3))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_3),one_one_real))).
% 224.62/223.30  all R_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,archim856651990g_real(R_3))),one_one_real)),R_3)).
% 224.62/223.30  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),hAPP_nat_real(real_nat,N_1))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1)).
% 224.62/223.30  all Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))->hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_1),hAPP_real_real(ln,X_1)))).
% 224.62/223.30  all Y_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (A_3!=one_one_real->hAPP_real_real(log(A_3),hAPP_real_real(hAPP_r1250527377l_real(powr,A_3),Y_1))=Y_1)).
% 224.62/223.30  all X_1 A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))-> (A_3!=one_one_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))->hAPP_real_real(hAPP_r1250527377l_real(powr,A_3),hAPP_real_real(log(A_3),X_1))=X_1))).
% 224.62/223.30  all N_1 M R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M)),R_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N_1)),one_one_real)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),N_1)))).
% 224.62/223.30  all N_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,X_1))),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),X_1))))).
% 224.62/223.30  all N_1 X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N_1)),hAPP_int_real(real_int,X_1))),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N_1),X_1)))),one_one_real)).
% 224.62/223.30  all X_1 D_3 (is_int(D_3)-> (D_3!=zero_zero_int->hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,X_1)),hAPP_int_real(real_int,D_3))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),D_3))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,hAPP_int_int(div_mod_int(X_1),D_3))),hAPP_int_real(real_int,D_3))))).
% 224.62/223.30  all N_1 X_1 (is_int(N_1)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_1)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N_1)),one_one_real)))->archim1246769320r_real(X_1)=N_1))).
% 224.62/223.30  all A X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),archim1246769320r_real(X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,A)),one_one_real)),X_2))).
% 224.62/223.30  all X_2 A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(X_2)),A))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,A)),one_one_real)))).
% 224.62/223.30  all N_1 X_1 (is_int(N_1)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,N_1)),one_one_real)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),hAPP_int_real(real_int,N_1)))->archim856651990g_real(X_1)=N_1))).
% 224.62/223.30  all X_2 A (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(X_2)),A))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,A)),one_one_real)))).
% 224.62/223.30  all A X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),archim856651990g_real(X_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,A)),one_one_real)),X_2))).
% 224.62/223.30  all B_2 Y_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_1))->hAPP_real_real(log(B_2),hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),Y_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_1),hAPP_real_real(log(B_2),X_1)))).
% 224.62/223.30  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N_1)),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N_1)),one_one_real)))->archim856651990g_real(X_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))).
% 224.62/223.30  all N_1 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (X_1=zero_zero_real->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1)=zero_zero_real)& (X_1!=zero_zero_real->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_1),N_1)=hAPP_real_real(hAPP_r1250527377l_real(powr,X_1),hAPP_nat_real(real_nat,N_1))))).
% 224.62/223.30  all A_3 X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(ln,X_1)),A_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,A_3),A_3)),X_1))))).
% 224.62/223.30  all R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),zero_zero_real))-> (exists N_2 (is_int(N_2)&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_2),one_one_int))))))).
% 224.62/223.30  all R_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_3))-> (exists N_2 (is_int(N_2)&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_2),one_one_int))))))).
% 224.62/223.30  all R_3 exists N_2 (is_int(N_2)&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_2)),R_3))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_3),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_2),one_one_int))))).
% 224.62/223.30  all C_1 N_1 A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),B_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),B_2)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,C_1),N_1)-> (exists R_1 S_2 (A_3=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,R_1),N_1)&B_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,S_2),N_1))))).
% 224.62/223.30  all X_1 Y_1 K_2 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),K_2)-> (exists I_2 J_1 (X_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),I_2)&Y_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),J_1))))).
% 224.62/223.30  all X_1 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hAPP_int_int(legacy_zgcd(X_1),M)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),hAPP_int_nat(phi,M))),one_one_int),M)))).
% 224.62/223.30  all I J_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(I),J_2)),I)).
% 224.62/223.30  all I J_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(I),J_2)),J_2)).
% 224.62/223.30  all M N_1 (hAPP_int_int(legacy_zgcd(M),N_1)=hAPP_int_int(legacy_zgcd(N_1),hAPP_int_int(div_mod_int(M),N_1))).
% 224.62/223.30  all M (hAPP_int_int(legacy_zgcd(M),one_one_int)=one_one_int).
% 224.62/223.30  all M (hAPP_int_int(legacy_zgcd(one_one_int),M)=one_one_int).
% 224.62/223.30  all I_1 J (is_int(I_1)&is_int(J)-> (hAPP_int_int(legacy_zgcd(I_1),J)=zero_zero_int<->I_1=zero_zero_int&J=zero_zero_int)).
% 224.62/223.30  all K_1 Ma N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(legacy_zgcd(Ma),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),Ma))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))).
% 224.62/223.30  all N_1 K_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(legacy_zgcd(M),N_1))))).
% 224.62/223.30  all K_2 M N_1 (hAPP_int_int(legacy_zgcd(hAPP_int_int(legacy_zgcd(K_2),M)),N_1)=hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(legacy_zgcd(M),N_1))).
% 224.62/223.30  all K_2 M N_1 (hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(legacy_zgcd(M),N_1))=hAPP_int_int(legacy_zgcd(M),hAPP_int_int(legacy_zgcd(K_2),N_1))).
% 224.62/223.30  all I J_2 (hAPP_int_int(legacy_zgcd(I),J_2)=hAPP_int_int(legacy_zgcd(J_2),I)).
% 224.62/223.30  all A_3 B_2 N_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(legacy_zgcd(A_3),B_2)),N_1)=hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),N_1))).
% 224.62/223.30  all I J_2 (hAPP_int_int(legacy_zgcd(hAPP_int_int(uminus_uminus_int,I)),J_2)=hAPP_int_int(legacy_zgcd(I),J_2)).
% 224.62/223.30  all I J_2 (hAPP_int_int(legacy_zgcd(I),hAPP_int_int(uminus_uminus_int,J_2))=hAPP_int_int(legacy_zgcd(I),J_2)).
% 224.62/223.30  all I J_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(legacy_zgcd(I),J_2))).
% 224.62/223.30  all M (is_int(M)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))->hAPP_int_int(legacy_zgcd(M),M)=M)).
% 224.62/223.30  all X_1 Y_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(legacy_zgcd(X_1),Y_1))).
% 224.62/223.30  all M N_1 K_2 (hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),K_2))),N_1)=hAPP_int_int(legacy_zgcd(M),N_1)).
% 224.62/223.30  all M K_2 N_1 (hAPP_int_int(legacy_zgcd(K_2),N_1)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),N_1)=hAPP_int_int(legacy_zgcd(M),N_1)).
% 224.62/223.30  all N_1 K_2 M (hAPP_int_int(legacy_zgcd(K_2),M)=one_one_int-> (hAPP_int_int(legacy_zgcd(N_1),M)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)),M)=one_one_int)).
% 224.62/223.30  all K_2 M N_1 (hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,K_2)),hAPP_int_int(legacy_zgcd(M),N_1))).
% 224.62/223.30  all M (hAPP_int_int(legacy_zgcd(zero_zero_int),M)=hAPP_int_int(abs_abs_int,M)).
% 224.62/223.30  all M (hAPP_int_int(legacy_zgcd(M),zero_zero_int)=hAPP_int_int(abs_abs_int,M)).
% 224.62/223.30  all N_1 A_3 B_2 (hAPP_int_int(legacy_zgcd(A_3),B_2)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N_1)),B_2)=one_one_int).
% 224.62/223.30  all N_1 A_3 B_2 (hAPP_int_int(legacy_zgcd(A_3),B_2)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),N_1))=one_one_int).
% 224.62/223.30  all M N_1 K_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(M),N_1)),hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),N_1))).
% 224.62/223.30  all N_1 K_2 (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))->hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))=K_2)).
% 224.62/223.30  all M N_1 K_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),hAPP_int_int(legacy_zgcd(M),N_1))=hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))).
% 224.62/223.30  all N_1 K_2 (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_2))->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1)),K_2)=K_2)).
% 224.62/223.30  all N Ma (is_int(Ma)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),N))<->hAPP_int_int(legacy_zgcd(N),Ma)=Ma))).
% 224.62/223.30  all B_2 A_3 (is_int(B_2)&is_int(A_3)-> (A_3!=zero_zero_int|B_2!=zero_zero_int->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(legacy_zgcd(A_3),B_2))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_2),hAPP_int_int(legacy_zgcd(A_3),B_2)))=one_one_int)).
% 224.62/223.30  all M N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))->hAPP_int_int(legacy_zgcd(M),N_1)=hAPP_int_int(legacy_zgcd(N_1),hAPP_int_int(div_mod_int(M),N_1))).
% 224.62/223.30  all N_1 A_3 B_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),N_1))-> (hAPP_int_int(legacy_zgcd(M),N_1)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1)))))).
% 224.62/223.30  all M N_1 K_2 (hAPP_int_int(legacy_zgcd(N_1),K_2)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M)))).
% 224.62/223.30  all M K_2 N_1 (hAPP_int_int(legacy_zgcd(K_2),N_1)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),N_1)),hAPP_int_int(legacy_zgcd(M),N_1)))).
% 224.62/223.30  all K_2 I J_2 (hAPP_int_int(legacy_zgcd(I),J_2)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),J_2)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),K_2)))).
% 224.62/223.30  all Ma (hAPP_int_int(legacy_zgcd(zero_zero_int),Ma)=one_one_int<->hAPP_int_int(abs_abs_int,Ma)=one_one_int).
% 224.62/223.30  all K_1 L (hAPP_int_int(legacy_zgcd(K_1),L)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,L),zero_zero_int)),K_1),hAPP_int_int(legacy_zgcd(L),hAPP_int_int(div_mod_int(hAPP_int_int(abs_abs_int,K_1)),hAPP_int_int(abs_abs_int,L)))))).
% 224.62/223.30  all N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N_1))->hAPP_int_int(legacy_zgcd(N_1),P_3)=one_one_int)).
% 224.62/223.30  all A B (hAPP_int_int(legacy_zgcd(A),B)=one_one_int<-> -(exists P_4 (is_int(P_4)&hBOOL(hAPP_int_bool(zprime,P_4))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),A))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),B))))).
% 224.62/223.30  all B_2 A_3 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hAPP_int_int(legacy_zgcd(A_3),M)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),M))->hAPP_int_int(legacy_zgcd(B_2),M)=one_one_int))).
% 224.62/223.30  all N_1 P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N_1),P_3))->hAPP_int_int(legacy_zgcd(N_1),P_3)=one_one_int))).
% 224.62/223.30  all A B K_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(K_1),Ma)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),K_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),K_1)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))))).
% 224.62/223.30  all A B K_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(K_1),Ma)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),A)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),B)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))))).
% 224.62/223.30  all M N_1 K_2 (hAPP_int_int(legacy_zgcd(N_1),K_2)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M))))).
% 224.62/223.30  all A B Ma (hAPP_int_int(legacy_zgcd(B),Ma)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),hAPP_i1948725293t_bool(bnorRset(A),Ma)))))).
% 224.62/223.30  all A B C X_2 (is_int(A)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C),hAPP_int_nat(nat,X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,X_2)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> (hAPP_int_int(legacy_zgcd(A),B)=one_one_int-> (exists K (is_int(K)&A=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K),hAPP_int_nat(nat,X_2))))))))).
% 224.62/223.30  all Ma K_1 N (is_int(K_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))-> (hAPP_int_int(legacy_zgcd(Ma),N)=K_1<-> (exists S_2 T (is_int(S_2)&is_int(T)&xzgcd(Ma,N)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_2),T))))))).
% 224.62/223.30  all A_3 B_2 C_1 N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C_1),N_1)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))-> (hAPP_int_int(legacy_zgcd(A_3),B_2)=one_one_int-> (exists K (is_int(K)&hAPP_int_int(abs_abs_int,A_3)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K),N_1)))))).
% 224.62/223.30  all M N_1 R_5 R_3 S_3 S_1 T_2 T_1 K_2 (is_int(K_2)-> ((exists Sn Tn (xzgcda(M,N_1,R_5,R_3,S_3,S_1,T_2,T_1)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Sn),Tn))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))->hAPP_int_int(legacy_zgcd(R_5),R_3)=K_2))).
% 224.62/223.30  all B_2 A_3 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (hAPP_int_int(legacy_zgcd(A_3),N_1)=one_one_int-> (exists X (is_int(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),N_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),X)),B_2),N_1))& (all Y (is_int(Y)-> (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_int,Y),N_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),Y)),B_2),N_1))->Y=X))))))).
% 224.62/223.30  all A_3 N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (hAPP_int_int(legacy_zgcd(A_3),N_1)=one_one_int-> (exists X (is_int(X)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),X)),one_one_int),N_1)))))).
% 224.62/223.30  all M N_1 S_3 S_1 T_2 T_1 R_5 R_3 K_2 (hAPP_int_int(legacy_zgcd(R_5),R_3)=K_2-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_3))-> (exists Sn Tn (is_int(Sn)&is_int(Tn)&xzgcda(M,N_1,R_5,R_3,S_3,S_1,T_2,T_1)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Sn),Tn)))))).
% 224.62/223.30  all A B C D X_2 (is_int(A)&is_int(B)&is_int(C)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B)),C)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D),hAPP_int_nat(nat,X_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,X_2)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),zOdd))-> (hAPP_int_int(legacy_zgcd(A),B)=one_one_int-> (hAPP_int_int(legacy_zgcd(B),C)=one_one_int-> (hAPP_int_int(legacy_zgcd(C),A)=one_one_int-> (exists K L_1 M_1 (is_int(K)&is_int(L_1)&is_int(M_1)&A=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K),hAPP_int_nat(nat,X_2))&B=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,L_1),hAPP_int_nat(nat,X_2))&C=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_1),hAPP_int_nat(nat,X_2))))))))))).
% 224.62/223.30  all M K_2 N_1 (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N_1))-> (hAPP_int_int(legacy_zgcd(M),N_1)=K_2-> (exists S_2 T (is_int(S_2)&is_int(T)&K_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_2),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,T),N_1))))))).
% 224.62/223.30  all A_3 B_2 C_1 D_3 N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2)),C_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D_3),N_1)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_1))-> (hAPP_int_int(legacy_zgcd(A_3),B_2)=one_one_int-> (hAPP_int_int(legacy_zgcd(B_2),C_1)=one_one_int-> (hAPP_int_int(legacy_zgcd(C_1),A_3)=one_one_int-> (exists K L_1 M_1 (is_int(K)&is_int(L_1)&is_int(M_1)&hAPP_int_int(abs_abs_int,A_3)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K),N_1)&hAPP_int_int(abs_abs_int,B_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,L_1),N_1)&hAPP_int_int(abs_abs_int,C_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_1),N_1)))))))).
% 224.62/223.30  all B_2 A_3 (is_int(B_2)&is_int(A_3)-> (A_3!=zero_zero_int|B_2!=zero_zero_int-> (exists C_3 D_2 (is_int(C_3)&is_int(D_2)&A_3=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(legacy_zgcd(A_3),B_2)),C_3)&B_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(legacy_zgcd(A_3),B_2)),D_2)&hAPP_int_int(legacy_zgcd(C_3),D_2)=one_one_int)))).
% 224.62/223.30  all Sa Ta A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A),B))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Sa),Ta))->hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A),Sa)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B),Ta))),pair_less)))).
% 224.62/223.30  all Sa Ta A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))->hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A),Sa)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B),Ta))),pair_less))).
% 224.62/223.30  all Sa Ta A B (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,Sa),Ta))->hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A),Sa)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B),Ta))),pair_le_q)))).
% 224.62/223.30  all Sa Ta A B (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A),B))->hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,hAPP_P369611207at_nat(hAPP_P402336767at_nat(produc494345619at_nat,hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A),Sa)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B),Ta))),pair_le_q))).
% 224.62/223.30  all Y_1 X_1 exists R_1 A_2 (X_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_2))&Y_1=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_2))).
% 224.62/223.30  all X_1 Y_1 (hAPP_real_real(dist_dist_real(X_1),Y_1)=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),Y_1))).
% 224.62/223.30  all X_1 Y_1 (hAPP_complex_real(dist_dist_complex(X_1),Y_1)=hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),Y_1))).
% 224.62/223.30  all Z_1 (is_int(Z_1)-> ((all N_2 (Z_1!=hAPP_nat_int(semiri1621563631at_int,N_2)))-> -(all N_2 (Z_1!=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2))))))).
% 224.62/223.30  all Z_2 P_1 ((all N_2 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,N_2))))-> ((all N_2 hBOOL(hAPP_int_bool(P_1,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_2))))))->hBOOL(hAPP_int_bool(P_1,Z_2)))).
% 224.62/223.30  all F A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))-> (exists Y (hBOOL(hAPP_real_bool(deriv_real(F,X),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),zero_zero_real))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,B)),hAPP_real_real(F,A))))).
% 224.62/223.30  all F A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))-> (exists Y (hBOOL(hAPP_real_bool(deriv_real(F,X),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,A)),hAPP_real_real(F,B))))).
% 224.62/223.30  all Ma N P_1 ((all M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M_1),zero_zero_nat)))-> ((all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_2),hAPP_nat_nat(div_mod_nat(M_1),N_2)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M_1),N_2)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Ma),N)))).
% 224.62/223.30  all N_1 P_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_3),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(fact,N_1))))).
% 224.62/223.30  all N_1 M (hAPP_Q1762011733de_int(div_mo231679042de_int(N_1),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(div_mod_int(quickcheck_int_of(N_1)),quickcheck_int_of(M)))).
% 224.62/223.30  all N Ma (is_int(N)&is_int(Ma)-> (hAPP_i1732201573de_int(quickcheck_of_int,N)=hAPP_i1732201573de_int(quickcheck_of_int,Ma)<->N=Ma)).
% 224.62/223.30  all X_1 (hAPP_i1732201573de_int(quickcheck_of_int,quickcheck_int_of(X_1))=X_1).
% 224.62/223.30  all K_2 (hAPP_i1732201573de_int(quickcheck_of_int,quickcheck_int_of(K_2))=K_2).
% 224.62/223.30  all N_1 (is_int(N_1)->quickcheck_int_of(hAPP_i1732201573de_int(quickcheck_of_int,N_1))=N_1).
% 224.62/223.30  number1226105091de_int=quickcheck_of_int.
% 224.62/223.30  all M N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(fact,M)),hAPP_nat_nat(fact,N_1)))).
% 224.62/223.30  all N_1 M (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,N_1),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,quickcheck_int_of(N_1)),quickcheck_int_of(M)))).
% 224.62/223.30  all N_1 M (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,N_1),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,quickcheck_int_of(N_1)),quickcheck_int_of(M)))).
% 224.62/223.30  all N_1 M (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(minus_534354567de_int,N_1),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,quickcheck_int_of(N_1)),quickcheck_int_of(M)))).
% 224.62/223.30  zero_z891286103de_int=hAPP_i1732201573de_int(quickcheck_of_int,zero_zero_int).
% 224.62/223.30  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(fact,N_1))).
% 224.62/223.30  hAPP_nat_nat(fact,zero_zero_nat)=one_one_nat.
% 224.62/223.30  all N_1 (hAPP_nat_nat(fact,hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,N_1)),hAPP_nat_nat(fact,N_1))).
% 224.62/223.30  all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(fact,N_1))).
% 224.62/223.30  one_on1684967323de_int=hAPP_i1732201573de_int(quickcheck_of_int,one_one_int).
% 224.62/223.30  all N_1 M (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,N_1),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,quickcheck_int_of(N_1)),quickcheck_int_of(M)))).
% 224.62/223.30  all N_1 exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_1),P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,P_4),hAPP_nat_nat(suc,hAPP_nat_nat(fact,N_1))))).
% 224.62/223.30  all F ((all I_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,I_2))),hAPP_nat_nat(F,I_2))))-> (exists I_2 all K (hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K))=hAPP_nat_nat(F,I_2)))).
% 224.62/223.30  all P_1 A0 A1 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))-> ((all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_2),B_4)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_4),zero_zero_int))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(uminus_uminus_int,A_2)),hAPP_int_int(uminus_uminus_int,B_4))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A_2),B_4))))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)))).
% 224.62/223.30  all P_1 A0 A1 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(upto_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))-> ((all I_2 J_1 (is_int(I_2)&is_int(J_1)-> (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(upto_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,I_2),J_1)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),J_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_2),one_one_int)),J_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1))))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)))).
% 224.62/223.30  all P_1 A0 A1 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(lazy_small_lazy_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A0),A1)))-> ((all D_2 I_2 (is_int(D_2)&is_int(I_2)-> (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(lazy_small_lazy_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,D_2),I_2)))-> ((-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,D_2),I_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,D_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,I_2),one_one_int))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,D_2),I_2))))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,A0),A1)))).
% 224.62/223.30  all Ma (hAPP_i1948725293t_bool(norRRset,Ma)=hAPP_i1948725293t_bool(bnorRset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ma),one_one_int)),Ma)).
% 224.62/223.30  real_int=ring_1_of_int_real.
% 224.62/223.30  real_int=ring_1_of_int_real.
% 224.62/223.30  all Z_1 (hAPP_complex_real(re,hAPP_int_complex(ring_11397209091omplex,Z_1))=hAPP_int_real(ring_1_of_int_real,Z_1)).
% 224.62/223.30  all Z_1 (hAPP_complex_complex(cnj,hAPP_int_complex(ring_11397209091omplex,Z_1))=hAPP_int_complex(ring_11397209091omplex,Z_1)).
% 224.62/223.30  all N_1 (hAPP_int_int(ring_1_of_int_int,hAPP_nat_int(semiri1621563631at_int,N_1))=hAPP_nat_int(semiri1621563631at_int,N_1)).
% 224.62/223.30  all X_1 (hAPP_int_real(number267125858f_real,X_1)=hAPP_int_real(ring_1_of_int_real,X_1)).
% 224.62/223.30  all W (hAPP_int_int(number_number_of_int,W)=hAPP_int_int(ring_1_of_int_int,W)).
% 224.62/223.30  all W (hAPP_int_complex(number528085621omplex,W)=hAPP_int_complex(ring_11397209091omplex,W)).
% 224.62/223.30  all Z_1 (hAPP_complex_real(im,hAPP_int_complex(ring_11397209091omplex,Z_1))=zero_zero_real).
% 224.62/223.30  all Ma (hAPP_int_nat(phi,Ma)=hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(norRRset,Ma))).
% 224.62/223.30  all A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hAPP_int_int(legacy_zgcd(A),Ma)=one_one_int-> (exists X (is_int(X)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),X),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X),hAPP_i1948725293t_bool(norRRset,Ma)))& (all Y (is_int(Y)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),Y),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y),hAPP_i1948725293t_bool(norRRset,Ma)))->Y=X))))))).
% 224.62/223.30  all X_2 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(X_2),Ma)=one_one_int->hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(noXRRset(Ma),X_2))=hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(norRRset,Ma)))).
% 224.62/223.30  all X_2 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(X_2),Ma)=one_one_int->hBOOL(hAPP_int_bool(is_RRset(hAPP_i1948725293t_bool(noXRRset(Ma),X_2)),Ma)))).
% 224.62/223.30  all A A_1 Ma (hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),A_1))->hAPP_int_int(legacy_zgcd(A),Ma)=one_one_int)).
% 224.62/223.30  all A B A_1 Ma (is_int(A)&is_int(B)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),B),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),A_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B),A_1))->A=B)))))).
% 224.62/223.30  all A A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),A_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),hAPP_int_int(rRset2norRR(A_1,Ma),A)),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(A_1,Ma),A)),hAPP_i1948725293t_bool(norRRset,Ma)))))).
% 224.62/223.30  all A A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),A_1))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(A_1,Ma),A)),hAPP_i1948725293t_bool(norRRset,Ma)))))).
% 224.62/223.30  all A A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),A_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),hAPP_int_int(rRset2norRR(A_1,Ma),A)),Ma))))).
% 224.62/223.30  all A_1 Ma (hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))<->hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A_1),rsetR(Ma)))&hAPP_f957591787ol_nat(finite_card_int,A_1)=hAPP_int_nat(phi,Ma)).
% 224.62/223.30  all A_1 Ma (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A_1),rsetR(Ma)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_1))).
% 224.62/223.30  all A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),Ma))->hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,hAPP_i1948725293t_bool(bnorRset(A),Ma)),rsetR(Ma)))).
% 224.62/223.30  all A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))->image_int_int(rRset2norRR(A_1,Ma),A_1)=hAPP_i1948725293t_bool(norRRset,Ma))).
% 224.62/223.30  all X_1 Y_1 (hAPP_int_int(int_lcm(X_1),Y_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(nat_lcm(hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,X_1))),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Y_1))))).
% 224.62/223.30  all F A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hBOOL(hAPP_f448129468l_bool(resSet(Ma),A_1))-> ((all X (is_int(X)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X),A_1))-> (all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),A_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(F,X)),hAPP_int_int(F,Xa)),Ma))->X=Xa)))))))->hBOOL(hAPP_f448129468l_bool(resSet(Ma),image_int_int(F,A_1)))))).
% 224.62/223.30  all A_1 B_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_1))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(semiri1621563631at_int,A_1)),image_nat_int(semiri1621563631at_int,B_1)))).
% 224.62/223.30  all A_1 B_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A_1),B_1))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,image_nat_int(semiri1621563631at_int,A_1)),image_nat_int(semiri1621563631at_int,B_1)))).
% 224.62/223.30  all A_1 B_1 (A_1=B_1<->image_nat_int(semiri1621563631at_int,A_1)=image_nat_int(semiri1621563631at_int,B_1)).
% 224.62/223.30  all X_2 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_2),A_1))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(semiri1621563631at_int,X_2)),image_nat_int(semiri1621563631at_int,A_1)))).
% 224.62/223.30  all A_1 (image_int_nat(nat,image_nat_int(semiri1621563631at_int,A_1))=A_1).
% 224.62/223.30  all A_1 (hAPP_f22106695ol_nat(finite_card_nat,A_1)=hAPP_f957591787ol_nat(finite_card_int,image_nat_int(semiri1621563631at_int,A_1))).
% 224.62/223.30  all A_1 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A_1))<->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A_1)))).
% 224.62/223.30  all A P_5 (setS(A,P_5)=image_275383677t_bool(multInvPair(A,P_5),hAPP_i1948725293t_bool(sRStar,P_5))).
% 224.62/223.30  all S (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (all M_1 exists N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_2),S))))).
% 224.62/223.30  all S (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (all M_1 exists N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_2))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_2),S))))).
% 224.62/223.31  all X_1 Y_1 (hAPP_nat_nat(nat_lcm(X_1),Y_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_1),Y_1)),hAPP_nat_nat(nat_gcd(X_1),Y_1))).
% 224.62/223.31  all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,B_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A_1),B_1))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,image_int_nat(nat,A_1)),image_int_nat(nat,B_1)))))).
% 224.62/223.31  all X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1)=hAPP_nat_nat(nat_gcd(X_1),Y_1)).
% 224.62/223.31  all S (hBOOL(hAPP_f448129468l_bool(nat_nat_set,S))<-> (all X (is_int(X)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X),S))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X)))))).
% 224.62/223.31  all X_2 A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2)))).
% 224.62/223.31  all C_2 hBOOL(hAPP_f448129468l_bool(nat_nat_set,image_nat_int(semiri1621563631at_int,C_2))).
% 224.62/223.31  all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,B_1))-> (A_1=B_1<->image_int_nat(nat,A_1)=image_int_nat(nat,B_1)))).
% 224.62/223.31  all X_1 Y_1 ((Y_1=zero_zero_nat->hAPP_nat_nat(nat_gcd(X_1),Y_1)=X_1)& (Y_1!=zero_zero_nat->hAPP_nat_nat(nat_gcd(X_1),Y_1)=hAPP_nat_nat(nat_gcd(Y_1),hAPP_nat_nat(div_mod_nat(X_1),Y_1)))).
% 224.62/223.31  all A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))->image_nat_int(semiri1621563631at_int,image_int_nat(nat,A_1))=A_1).
% 224.62/223.31  all A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A_1))<->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_int_nat(nat,A_1))))).
% 224.62/223.31  all A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))->hAPP_f957591787ol_nat(finite_card_int,A_1)=hAPP_f22106695ol_nat(finite_card_nat,image_int_nat(nat,A_1))).
% 224.62/223.31  all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,B_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_1),B_1))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_int_nat(nat,A_1)),image_int_nat(nat,B_1)))))).
% 224.62/223.31  all X_2 Y_2 (hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_2),Y_2)))-> (Y_2=zero_zero_nat->hAPP_nat_nat(nat_gcd(X_2),Y_2)=X_2)& (Y_2!=zero_zero_nat->hAPP_nat_nat(nat_gcd(X_2),Y_2)=hAPP_nat_nat(nat_gcd(Y_2),hAPP_nat_nat(div_mod_nat(X_2),Y_2)))).
% 224.62/223.31  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(int_gcd,X_1),Y_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(nat_gcd(hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,X_1))),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Y_1))))).
% 224.62/223.31  all P_1 A0 A1 (hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,A0),A1)))-> ((all X Y (hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X),Y)))-> ((Y!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Y),hAPP_nat_nat(div_mod_nat(X),Y))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,X),Y)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,A0),A1)))).
% 224.62/223.31  all N_4 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))<-> (exists M_1 all X (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X),N_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),M_1))))).
% 224.62/223.31  all N_4 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))<-> (exists M_1 all X (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X),N_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),M_1))))).
% 224.62/223.31  all N N_4 ((all X (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X),N_4))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),N))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_4))).
% 224.62/223.31  all L U (hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(ord_gr1297742076an_int(L),U))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,U),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,L),one_one_int)))).
% 224.62/223.31  all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_gr1297742076an_int(L),U))).
% 224.62/223.31  all X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),field_1210416355s_real))-> -(all M_1 N_2 (N_2!=zero_zero_nat-> (hAPP_real_real(abs_abs_real,X_2)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,M_1)),hAPP_nat_real(real_nat,N_2))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_2)!=one_one_nat)))).
% 224.62/223.31  all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U))).
% 224.62/223.31  all N hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_nat_real(real_nat,N)),field_1210416355s_real)).
% 224.62/223.31  all L U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,U),hAPP_nat_nat(suc,L))).
% 224.62/223.31  all Y_2 X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2))-> (exists X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),field_1210416355s_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y_2)))))).
% 224.62/223.31  all F Y_2 X_2 A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),hAPP_r1134773055l_bool(ord_gr788844697n_real(A),B)))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Y_2),hAPP_r1134773055l_bool(ord_gr788844697n_real(A),B)))-> ((all X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),hAPP_r1134773055l_bool(ord_gr788844697n_real(A),B)))->hBOOL(hAPP_real_bool(deriv_real(F,X),zero_zero_real))))->hAPP_real_real(F,X_2)=hAPP_real_real(F,Y_2))))).
% 224.62/223.31  all K_1 (hBOOL(hAPP_rat_bool(iszero_rat,hAPP_int_rat(number_number_of_rat,K_1)))<->hBOOL(hAPP_int_bool(iszero_int,hAPP_int_int(number_number_of_int,K_1)))).
% 224.62/223.31  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),Y_2))-> (exists X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),field_1210416355s_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y_2))))).
% 224.62/223.31  all Y_2 X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_2))->comple124823625p_real(hAPP_r1134773055l_bool(ord_gr788844697n_real(Y_2),X_2))=X_2).
% 224.62/223.31  all X_2 X_3 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),X_3))-> ((exists Z all X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Z))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),comple124823625p_real(X_3))))).
% 224.62/223.31  all Z_2 X_2 X_3 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),X_3))-> ((all X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Z_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),comple124823625p_real(X_3))))).
% 224.62/223.31  all K_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,K_2)),one_one_int))=hAPP_int_rat(number_number_of_rat,K_2)).
% 224.62/223.31  all K_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_2))=zero_zero_rat).
% 224.62/223.31  all K_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,K_2),zero_zero_int))=zero_zero_rat).
% 224.62/223.31  frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),one_one_int))=one_one_rat.
% 224.62/223.31  all K_2 L_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,K_2)),hAPP_int_int(number_number_of_int,L_2)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(number_number_of_rat,K_2)),hAPP_int_rat(number_number_of_rat,L_2))).
% 224.62/223.31  all K_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),hAPP_int_int(number_number_of_int,K_2)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,K_2))).
% 224.62/223.31  all Z_2 X_3 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Z_2),X_3))-> ((all X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Z_2))))->comple124823625p_real(X_3)=Z_2)).
% 224.62/223.31  all Z_2 Y_2 X_2 X_3 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_2),X_3))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_2))-> ((all X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Z_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),comple124823625p_real(X_3)))))).
% 224.62/223.31  all Q_2 ((hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Q_2),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,Q_2)=hAPP_rat_rat(uminus_uminus_rat,Q_2))& (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Q_2),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,Q_2)=Q_2)).
% 224.62/223.31  all Q_2 ((Q_2=zero_zero_rat->hAPP_rat_rat(sgn_sgn_rat,Q_2)=zero_zero_rat)& (Q_2!=zero_zero_rat-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Q_2))->hAPP_rat_rat(sgn_sgn_rat,Q_2)=one_one_rat)& (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Q_2))->hAPP_rat_rat(sgn_sgn_rat,Q_2)=hAPP_rat_rat(uminus_uminus_rat,one_one_rat)))).
% 224.62/223.31  all Q_2 R_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,Q_2),R_3)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Q_2),hAPP_rat_rat(inverse_inverse_rat,R_3))).
% 224.62/223.31  all P_3 Q_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Q_2),zero_zero_int))->normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2))=normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(uminus_uminus_int,P_3)),hAPP_int_int(uminus_uminus_int,Q_2)))).
% 224.62/223.31  all P_3 (quotient_of(hAPP_rat_rat(sgn_sgn_rat,P_3))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(sgn_sgn_int,hAPP_P1175774780nt_int(product_fst_int_int,quotient_of(P_3)))),one_one_int)).
% 224.62/223.31  all A_3 B_2 (quotient_of(A_3)=quotient_of(B_2)->A_3=B_2).
% 224.62/223.31  all A B (quotient_of(A)=quotient_of(B)<->A=B).
% 224.62/223.31  all Q_2 R_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Q_2),R_3)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Q_2),hAPP_rat_rat(uminus_uminus_rat,R_3))).
% 224.62/223.31  all Z_2 W_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_2),W_1))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_2),W_1))&Z_2!=W_1).
% 224.62/223.31  all R_3 P_3 Q_2 (quotient_of(R_3)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Q_2))).
% 224.62/223.31  quotient_of(one_one_rat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),one_one_int).
% 224.62/223.31  all R_3 P_3 Q_2 (normalize(R_3)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Q_2))).
% 224.62/223.31  all P_3 (normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),zero_zero_int))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int)).
% 224.62/223.31  all P_3 R_3 S_1 Q_2 (is_int(S_1)&is_int(Q_2)-> (Q_2!=zero_zero_int-> (S_1!=zero_zero_int-> (normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2))=normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,R_3),S_1))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,P_3),S_1)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_3),Q_2))))).
% 224.62/223.31  quotient_of(zero_zero_rat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 224.62/223.31  all K_2 (quotient_of(hAPP_int_rat(number_number_of_rat,K_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(number_number_of_int,K_2)),one_one_int)).
% 224.62/223.31  all R_3 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_3))-> -(all S_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),S_2))-> (all T (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),T))->R_3!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,S_2),T)))))).
% 224.62/223.31  all X_2 Y_2 (hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,X_2),Y_2)),ratrel))<->hAPP_P1175774780nt_int(product_snd_int_int,X_2)!=zero_zero_int&hAPP_P1175774780nt_int(product_snd_int_int,Y_2)!=zero_zero_int&hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,X_2)),hAPP_P1175774780nt_int(product_snd_int_int,Y_2))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,Y_2)),hAPP_P1175774780nt_int(product_snd_int_int,X_2))).
% 224.62/223.31  all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),hAPP_int_int(number_number_of_int,K_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,K_2))).
% 224.62/223.31  all R_3 S_1 (ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(number_number_of_rat,R_3)),hAPP_int_rat(number_number_of_rat,S_1)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,R_3)),hAPP_int_real(number267125858f_real,S_1))).
% 224.62/223.31  all A_3 B_2 P_3 Q_2 (quotient_of(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2)->hAPP_int_rat(hAPP_int_fun_int_rat(fract,P_3),Q_2)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)).
% 224.62/223.31  all A_3 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),zero_zero_int)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),one_one_int)).
% 224.62/223.31  one_one_rat=hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),one_one_int).
% 224.62/223.31  hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),one_one_int)=one_one_rat.
% 224.62/223.31  all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),zero_zero_int)=zero_zero_rat).
% 224.62/223.31  all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),K_2)=zero_zero_rat).
% 224.62/223.31  all A_3 C_1 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),A_3)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),C_1)).
% 224.62/223.31  all K_2 (hAPP_nat_rat(semiri151668891at_rat,K_2)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_nat_int(semiri1621563631at_int,K_2)),one_one_int)).
% 224.62/223.31  all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_nat_int(semiri1621563631at_int,K_2)),one_one_int)=hAPP_nat_rat(semiri151668891at_rat,K_2)).
% 224.62/223.31  all K_2 (hAPP_int_rat(ring_1_of_int_rat,K_2)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),one_one_int)).
% 224.62/223.31  all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),one_one_int)=hAPP_int_rat(ring_1_of_int_rat,K_2)).
% 224.62/223.31  all K_2 L_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),L_2)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(ring_1_of_int_rat,K_2)),hAPP_int_rat(ring_1_of_int_rat,L_2))).
% 224.62/223.31  all W (hAPP_int_rat(number_number_of_rat,W)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,W),one_one_int)).
% 224.62/223.31  all X_1 (archim1246769320r_real(ratreal(X_1))=archim791455193or_rat(X_1)).
% 224.62/223.31  all A_3 B_2 (archim791455193or_rat(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)).
% 224.62/223.31  all A_3 B_2 (hAPP_rat_rat(inverse_inverse_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,B_2),A_3)).
% 224.62/223.31  all A_3 B_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(uminus_uminus_int,A_3)),hAPP_int_int(uminus_uminus_int,B_2))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)).
% 224.62/223.31  all A_3 B_2 C_1 (is_int(C_1)-> (C_1!=zero_zero_int->hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),A_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_2))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2))).
% 224.62/223.31  all A C D B (is_int(D)&is_int(B)-> (B!=zero_zero_int-> (D!=zero_zero_int-> (hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)<->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B))))).
% 224.62/223.31  all A_3 B_2 C_1 D_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C_1),D_3))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),C_1))).
% 224.62/223.31  all A_3 B_2 (hAPP_rat_rat(uminus_uminus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(uminus_uminus_int,A_3)),B_2)).
% 224.62/223.31  all A_3 B_2 C_1 D_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C_1),D_3))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),C_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),D_3))).
% 224.62/223.31  all A_3 B_2 (hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(abs_abs_int,A_3)),hAPP_int_int(abs_abs_int,B_2))).
% 224.62/223.31  all A_3 B_2 P_3 Q_2 (normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_3),B_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2)->hAPP_int_rat(hAPP_int_fun_int_rat(fract,P_3),Q_2)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)).
% 224.62/223.31  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,ratreal(X_2)),ratreal(Y_2)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_2),Y_2))).
% 224.62/223.31  ratreal(zero_zero_rat)=zero_zero_real.
% 224.62/223.31  zero_zero_real=ratreal(zero_zero_rat).
% 224.62/223.31  all K_2 (hAPP_int_real(number267125858f_real,K_2)=ratreal(hAPP_int_rat(number_number_of_rat,K_2))).
% 224.62/223.31  all K_2 (ratreal(hAPP_int_rat(number_number_of_rat,K_2))=hAPP_int_real(number267125858f_real,K_2)).
% 224.62/223.31  ratreal(one_one_rat)=one_one_real.
% 224.62/223.31  one_one_real=ratreal(one_one_rat).
% 224.62/223.31  all X_2 Y_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,ratreal(X_2)),ratreal(Y_2)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_2),Y_2))).
% 224.62/223.31  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,ratreal(X_1)),ratreal(Y_1))=ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Y_1))).
% 224.62/223.31  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,ratreal(X_1)),ratreal(Y_1))=ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_1),Y_1))).
% 224.62/223.31  all X_1 (hAPP_real_real(uminus_uminus_real,ratreal(X_1))=ratreal(hAPP_rat_rat(uminus_uminus_rat,X_1))).
% 224.62/223.31  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,ratreal(X_1)),ratreal(Y_1))=ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,X_1),Y_1))).
% 224.62/223.31  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,ratreal(X_1)),ratreal(Y_1))=ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_1),Y_1))).
% 224.62/223.31  all X_1 (hAPP_real_real(inverse_inverse_real,ratreal(X_1))=ratreal(hAPP_rat_rat(inverse_inverse_rat,X_1))).
% 224.62/223.31  zero_zero_rat=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),one_one_int).
% 224.62/223.31  all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(number_number_of_int,K_2)),one_one_int)=hAPP_int_rat(number_number_of_rat,K_2)).
% 224.62/223.31  all K_2 (hAPP_int_rat(number_number_of_rat,K_2)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(number_number_of_int,K_2)),one_one_int)).
% 224.62/223.31  all K_2 L_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(number_number_of_int,K_2)),hAPP_int_int(number_number_of_int,L_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(number_number_of_rat,K_2)),hAPP_int_rat(number_number_of_rat,L_2))).
% 224.62/223.31  all A_3 B_2 (quotient_of(hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2))=normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_3),B_2))).
% 224.62/223.31  all P_3 (frct(P_3)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_P1175774780nt_int(product_fst_int_int,P_3)),hAPP_P1175774780nt_int(product_snd_int_int,P_3))).
% 224.62/223.31  all A C D B (is_int(D)&is_int(B)-> (B!=zero_zero_int-> (D!=zero_zero_int-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D)))))))).
% 224.62/223.31  all R_3 S_1 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,ratreal(hAPP_int_rat(number_number_of_rat,R_3))),ratreal(hAPP_int_rat(number_number_of_rat,S_1)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,R_3)),hAPP_int_real(number267125858f_real,S_1))).
% 224.62/223.31  all A_3 B_2 (hAPP_rat_rat(sgn_sgn_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2))=hAPP_int_rat(ring_1_of_int_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(sgn_sgn_int,A_3)),hAPP_int_int(sgn_sgn_int,B_2)))).
% 224.62/223.31  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),zero_zero_int)))).
% 224.62/223.31  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A)))).
% 224.62/223.31  all A C D B (is_int(D)&is_int(B)-> (B!=zero_zero_int-> (D!=zero_zero_int-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),D)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B),D)))))))).
% 224.62/223.31  all A_3 C_1 D_3 B_2 (is_int(D_3)&is_int(B_2)-> (B_2!=zero_zero_int-> (D_3!=zero_zero_int->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C_1),D_3))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),D_3))))).
% 224.62/223.31  all A_3 C_1 D_3 B_2 (is_int(D_3)&is_int(B_2)-> (B_2!=zero_zero_int-> (D_3!=zero_zero_int->hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C_1),D_3))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),D_3)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_1),B_2))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),D_3))))).
% 224.62/223.31  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),B)))).
% 224.62/223.31  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),A)))).
% 224.62/223.31  all M N_1 (is_int(N_1)-> (N_1!=zero_zero_int->hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M),N_1)),N_1)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,M),N_1)),one_one_rat))).
% 224.62/223.31  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),zero_zero_int)))).
% 224.62/223.31  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A)))).
% 224.62/223.31  all A_3 B_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(ring_1_of_int_rat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2))),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)),hAPP_int_rat(ring_1_of_int_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)),one_one_int))))).
% 224.62/223.31  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B),A)))).
% 224.62/223.31  all A B (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A),B)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A),B)))).
% 224.62/223.31  all Q_1 P_1 ((all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))->hBOOL(hAPP_rat_bool(P_1,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_4))))))->hBOOL(hAPP_rat_bool(P_1,Q_1))).
% 224.62/223.31  all B Q_1 R_2 (hAPP_P1975530577nt_int(adjust(B),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2))=hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,R_2),B))),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Q_1)),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,R_2),B))),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Q_1)),R_2))).
% 224.62/223.31  all K_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),K_1)))).
% 224.62/223.31  all K_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),K_1)))).
% 224.62/223.31  hBOOL(hAPP_f54304608l_bool(nat_tr160667106at_int(semiri1621563631at_int),cOMBK_bool_nat(fTrue))).
% 224.62/223.31  all P_1 (collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),P_1))=image_nat_int(semiri1621563631at_int,collect_nat(hAPP_f1154658180t_bool(hAPP_f1361476881t_bool(cOMBB_int_bool_nat,P_1),semiri1621563631at_int)))).
% 224.62/223.31  all N (is_int(N)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N)))))=N)).
% 224.62/223.31  all N hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))).
% 224.62/223.31  all N hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))).
% 224.62/223.31  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))=hAPP_int_nat(nat,N)).
% 224.62/223.31  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))=hAPP_int_nat(nat,N)).
% 224.62/223.31  all K_1 Xa_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),K_1)),Xa_1),hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa_1),K_1))))).
% 224.62/223.31  all X (hAPP_n1699378549t_bool(ord_less_nat,X)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X))).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),sin),X_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_2)),hAPP_real_real(sin,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_2)),hAPP_real_real(sin,X_2))))).
% 224.62/223.31  all K_1 Xa_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),K_1)),Xa_1),hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa_1),K_1)))).
% 224.62/223.31  all X_2 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),X_2)))).
% 224.62/223.31  all N (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),N)))=hAPP_nat_nat(suc,N)).
% 224.62/223.31  all X_2 (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),X_2)))=hAPP_nat_nat(suc,X_2)).
% 224.62/223.31  all W (hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,W))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,W)),hAPP_int_nat(number_number_of_nat,W))).
% 224.62/223.31  all P_1 hBOOL(hAPP_f448129468l_bool(nat_nat_set,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),P_1)))).
% 224.62/223.31  all P_1 (collect_nat(P_1)=image_int_nat(nat,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_f1448486952t_bool(hAPP_f696844121t_bool(cOMBB_nat_bool_int,P_1),nat))))).
% 224.62/223.31  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),one_one_real))->hBOOL(bse_q_real(hAPP_r474017924t_real(power_power_real,X_2))))).
% 224.62/223.31  all N hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))).
% 224.62/223.31  all Z_2 Z_3 ((hBOOL(hAPP_int_bool(nat_neg,Z_3))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,Z_2)),hAPP_int_nat(nat,Z_3))=hAPP_int_nat(nat,Z_2))& (-hBOOL(hAPP_int_bool(nat_neg,Z_3))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,Z_2)),hAPP_int_nat(nat,Z_3))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_2),Z_3))),zero_zero_nat),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Z_2),Z_3))))).
% 224.62/223.31  all I_1 (is_int(I_1)-> (I_1!=zero_zero_int->hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,dvd_dvd_int),I_1)))))).
% 224.62/223.31  all Ma (Ma!=zero_zero_nat->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,dvd_dvd_nat),Ma))))).
% 224.62/223.31  -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(prime))).
% 224.62/223.31  all X_3 (hBOOL(cauchy_complex(X_3))->hBOOL(cauchy_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3)))).
% 224.62/223.31  all X_3 (hBOOL(cauchy_complex(X_3))->hBOOL(cauchy_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3)))).
% 224.62/223.31  all X_3 (hBOOL(cauchy_complex(X_3))->hBOOL(cauchy_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3)))).
% 224.62/223.31  all N hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_nat_real(real_nat,N)),ring_1_Ints_real)).
% 224.62/223.31  all X_2 hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_int_real(real_int,X_2)),ring_1_Ints_real)).
% 224.62/223.31  all G X_2 Ma (hBOOL(hAPP_real_bool(deriv_real(G,X_2),Ma))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),G),X_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(G,X_2)))),Ma)))).
% 224.62/223.31  all G X_2 Ma (hBOOL(hAPP_real_bool(deriv_real(G,X_2),Ma))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),G),X_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,hAPP_real_real(G,X_2))),Ma)))).
% 224.62/223.31  all X_2 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X_2)))).
% 224.62/223.31  all N (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),N)))=N).
% 224.62/223.31  all X_2 (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),X_2)))=X_2).
% 224.62/223.31  all P_1 I_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_f800510211t_bool(hAPP_f561022312t_bool(cOMBS_nat_bool_bool,hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fconj),P_1)),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),I_1))))).
% 224.62/223.31  all Z_1 W (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,W)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),hAPP_int_nat(number_number_of_nat,W))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),hAPP_int_nat(number_number_of_nat,W)))).
% 224.62/223.31  all I_1 M_2 (-hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_2))->hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_f800510211t_bool(hAPP_f561022312t_bool(cOMBS_nat_bool_bool,hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(hAPP_f2037783381l_bool(cOMBB_1146692694ol_nat,member_nat),suc)),M_2))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),I_1))))=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_f800510211t_bool(hAPP_f561022312t_bool(cOMBS_nat_bool_bool,hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),M_2))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1)))))).
% 224.62/223.31  all I_1 M_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_2))->hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_f800510211t_bool(hAPP_f561022312t_bool(cOMBS_nat_bool_bool,hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),M_2))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1)))))!=zero_zero_nat).
% 224.62/223.31  all I_1 M_2 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,zero_zero_nat),M_2))->hAPP_nat_nat(suc,hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_f800510211t_bool(hAPP_f561022312t_bool(cOMBS_nat_bool_bool,hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,hAPP_f66927821l_bool(hAPP_f2037783381l_bool(cOMBB_1146692694ol_nat,member_nat),suc)),M_2))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),I_1)))))=hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_f800510211t_bool(hAPP_f561022312t_bool(cOMBS_nat_bool_bool,hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fconj),hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,member_nat),M_2))),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),hAPP_nat_nat(suc,I_1)))))).
% 224.62/223.31  all N hBOOL(hAPP_f448129468l_bool(finite_finite_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))).
% 224.62/223.31  all Ma X_2 (hAPP_i1948725293t_bool(noXRRset(Ma),X_2)=image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_2),hAPP_i1948725293t_bool(norRRset,Ma))).
% 224.62/223.31  all N G X_2 Ma (hBOOL(hAPP_real_bool(deriv_real(G,X_2),Ma))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),G)),N),X_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(G,X_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)))),Ma)))).
% 224.62/223.31  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),N))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,N)),one_one_nat)).
% 224.62/223.31  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))->hAPP_nat_int(semiri1621563631at_int,hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N)))))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N),one_one_int)).
% 224.62/223.31  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))->hAPP_f957591787ol_nat(finite_card_int,collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),N))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,N)),one_one_nat)).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),cos),X_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_2))),hAPP_real_real(cos,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_2))),hAPP_real_real(cos,X_2))))).
% 224.62/223.31  all N V (hAPP_nat_nat(suc,N)=hAPP_int_nat(number_number_of_nat,V)<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))=N)).
% 224.62/223.31  all V N (hAPP_int_nat(number_number_of_nat,V)=hAPP_nat_nat(suc,N)<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))=N)).
% 224.62/223.31  all W ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W)))->hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,W))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,W)))->hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,W))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,W)),hAPP_int_nat(number_number_of_nat,W))))).
% 224.62/223.31  all N X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N),X_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))))).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),cos),X_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,min))),hAPP_real_real(cos,X_2))),hAPP_real_real(sin,X_2)))).
% 224.62/223.31  all V N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))<-> (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)))).
% 224.62/223.31  all N V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))))).
% 224.62/223.31  all N V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V)))<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))))).
% 224.62/223.31  all V N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N)))<-> (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)))).
% 224.62/223.31  all X_3 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_int_int(standardRes(Ma),X_3)),collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),Ma)))))).
% 224.62/223.31  all X_2 A_1 Ma (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A_1),rsetR(Ma)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(X_2),Ma)=one_one_int->hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_2),A_1)),rsetR(Ma)))))).
% 224.62/223.31  all Z_1 W ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,W)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_1),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),hAPP_int_nat(number_number_of_nat,W)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),hAPP_int_nat(number_number_of_nat,W))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,W)))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Z_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,W)))=one_one_int)).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),sin),X_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_2))),hAPP_real_real(sin,X_2)))).
% 224.62/223.31  all B X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->hBOOL(hAPP_real_bool(deriv_real(log(B),X_2),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(ln,B)),X_2))))).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),cos),X_2),hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_2))),hAPP_real_real(sin,X_2))))).
% 224.62/223.31  all X hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X),zero_zero_real)).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_2))),hAPP_real_real(sin,X_2)))).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_2)),hAPP_real_real(sin,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X_2)),hAPP_real_real(sin,X_2))))).
% 224.62/223.31  all V V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1))=hAPP_int_nat(number_number_of_nat,V))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_int_nat(number_number_of_nat,V_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),hAPP_int_int(uminus_uminus_int,V_1))))),zero_zero_nat),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V),hAPP_int_int(uminus_uminus_int,V_1))))))).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,min))),hAPP_real_real(cos,X_2))),hAPP_real_real(sin,X_2)))).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2),hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X_2))),hAPP_real_real(sin,X_2))))).
% 224.62/223.31  all X_2 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),X_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_2))),hAPP_real_real(cos,X_2))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_2))),hAPP_real_real(cos,X_2))))).
% 224.62/223.31  all X_2 (hAPP_real_real(cos,X_2)!=zero_zero_real->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real),sin)),cos),X_2),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X_2)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.62/223.31  all Y_2 X hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),Y_2)))),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),hAPP_real_real(cos,Y_2)))),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),hAPP_real_real(sin,Y_2)))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,plus_plus_real),Y_2)))),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),cos)),hAPP_real_real(cos,Y_2)))),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,times_times_real),sin)),hAPP_real_real(sin,Y_2)))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X),zero_zero_real)).
% 224.62/223.31  all X hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),sin)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),cos)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X))),hAPP_real_real(sin,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_real_real(cos,X))),hAPP_real_real(sin,X))))).
% 224.62/223.31  all X hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),uminus_uminus_real))),sin))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,power_power_real),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),uminus_uminus_real))),cos))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X),zero_zero_real)).
% 224.62/223.31  all A B (is_int(A)&is_int(B)-> (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A),B)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))->norm_frac(A,B)=norm_frac(hAPP_int_int(uminus_uminus_int,A),hAPP_int_int(uminus_uminus_int,B)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B),zero_zero_int))-> (A=zero_zero_int|B=zero_zero_int->norm_frac(A,B)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int))& (-(A=zero_zero_int|B=zero_zero_int)->norm_frac(A,B)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,A),B))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,A),B))))))).
% 224.62/223.31  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_2)),one_one_real))->hBOOL(monose_q_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))))).
% 224.62/223.31  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),one_one_real))->hBOOL(monose_q_real(hAPP_r474017924t_real(power_power_real,X_2))))).
% 224.62/223.31  all A_3 B_2 (is_int(A_3)&is_int(B_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))->norm_frac(A_3,B_2)=norm_frac(hAPP_int_int(uminus_uminus_int,A_3),hAPP_int_int(uminus_uminus_int,B_2)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),zero_zero_int))-> (A_3=zero_zero_int|B_2=zero_zero_int->norm_frac(A_3,B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int))& (-(A_3=zero_zero_int|B_2=zero_zero_int)->norm_frac(A_3,B_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,A_3),B_2))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_2),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,A_3),B_2)))))).
% 224.62/223.31  all Z_2 (arg(Z_2)=hilbert_Eps_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_f1402056515l_bool(hAPP_f824790735l_bool(cOMBB_real_bool_real,hAPP_r1134773055l_bool(fe_qual_real,hAPP_complex_real(re,hAPP_complex_complex(sgn_sgn_complex,Z_2)))),cos))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_f1402056515l_bool(hAPP_f824790735l_bool(cOMBB_real_bool_real,hAPP_r1134773055l_bool(fe_qual_real,hAPP_complex_real(im,hAPP_complex_complex(sgn_sgn_complex,Z_2)))),sin))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,pi)))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),pi)))))).
% 224.62/223.31  all A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,comple219730294t_bool(setS(A,P_5)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A),hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),P_5)))))).
% 224.62/223.31  all A (big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(d22set,A))=hAPP_int_int(zfact,A)).
% 224.62/223.31  all A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),Ma))->hAPP_int_int(legacy_zgcd(big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(bnorRset(A),Ma))),Ma)=one_one_int).
% 224.62/223.31  all A Ma X_2 (is_int(X_2)-> (X_2!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),Ma))->big_co1548731110nt_int(cOMBI_int,image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),X_2),hAPP_i1948725293t_bool(bnorRset(A),Ma)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(bnorRset(A),Ma))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_2),hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(bnorRset(A),Ma))))))).
% 224.62/223.31  all X_2 A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_2),setS(A,P_5)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,X_2)),A),P_5))))))).
% 224.62/223.31  all A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(wset(A),P_5))),one_one_int),P_5))))).
% 224.62/223.31  all A P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),zero_zero_int),P_5))->big_co1548731110nt_int(cOMBI_int,comple219730294t_bool(setS(A,P_5)))=hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int))))).
% 224.62/223.31  all F A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> ((all X (is_int(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_int_int(F,X))))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),big_co1548731110nt_int(F,A_1))))).
% 224.62/223.31  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_2)),one_one_real))->hAPP_real_real(arctan,X_2)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))))).
% 224.62/223.31  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X_2)),one_one_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,suminf_real),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))))),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))))),hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,cOMBB_nat_real_nat),power_power_real)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),X_2),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))).
% 224.62/223.31  all X_2 (hAPP_real_real(sin,X_2)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_2)))).
% 224.62/223.31  all X (hAPP_real_real(sin,X)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X)))).
% 224.62/223.31  all X_2 (hAPP_real_real(cos,X_2)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_2)))).
% 224.62/223.31  all X (hAPP_real_real(cos,X)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X)))).
% 224.62/223.31  all X_2 (hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X_2))=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_2))))).
% 224.62/223.31  all X_2 (hAPP_real_real(exp_real,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X_2)),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 224.62/223.31  hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),one_one_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))).
% 224.62/223.31  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->hAPP_real_real(ln,X_2)=hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),one_one_nat)))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_2),one_one_real))),suc))))).
% 224.62/223.31  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_2)),one_one_real))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))))).
% 224.62/223.31  all F (hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F)))->hBOOL(summable_real(F))).
% 224.62/223.31  all F G ((exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,N_2))),hAPP_nat_real(G,N_2)))))-> (hBOOL(summable_real(G))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F))))).
% 224.62/223.31  all F (hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_f352196356l_real(suminf_real,F))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F))))).
% 224.62/223.31  all X_2 hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_2)))).
% 224.62/223.31  all X_2 hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_2)))).
% 224.62/223.31  all P_5 (archim791455193or_rat(P_5)=hAPP_P1175774780nt_int(produc1298267108nt_int(div_div_int),quotient_of(P_5))).
% 224.62/223.31  all P_5 (quotient_of(hAPP_rat_rat(uminus_uminus_rat,P_5))=hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),quotient_of(P_5))).
% 224.62/223.31  all X_2 hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_2)))).
% 224.62/223.31  all P_5 (quotient_of(hAPP_rat_rat(abs_abs_rat,P_5))=hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),abs_abs_int)),quotient_of(P_5))).
% 224.62/223.32  all A B (divmod_int_rel(A,B)=produc93441119t_bool(hAPP_f1048215610t_bool(hAPP_f472159229t_bool(cOMBC_1683390479t_bool,hAPP_f1545556668t_bool(hAPP_f85237525t_bool(cOMBB_389152643ol_int,cOMBS_int_bool_bool),hAPP_f1344929775l_bool(hAPP_f1830214065l_bool(cOMBB_793166024ol_int,hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj)),hAPP_f720654810t_bool(hAPP_f908327869t_bool(cOMBB_1290694363ol_int,hAPP_f1512942609t_bool(cOMBB_int_bool_int,hAPP_i1948725293t_bool(fe_qual_int,A))),hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,plus_plus_int),hAPP_int_fun_int_int(times_times_int,B)))))),hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_f1805168059t_bool(hAPP_f627970963t_bool(cOMBB_bool_bool_int,fimplies(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B))),hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_int),B))))),hAPP_f1805168059t_bool(hAPP_f627970963t_bool(cOMBB_bool_bool_int,fimplies(hAPP_bool_bool(fNot,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B)))),hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,B))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),zero_zero_int))))))).
% 224.62/223.32  twoSqu1907779896sum2sq=produc1298267108nt_int(hAPP_f1760145644nt_int(hAPP_f808647893nt_int(cOMBC_736024425nt_int,hAPP_f836602773nt_int(hAPP_f888249301nt_int(cOMBB_1875755114nt_int,cOMBB_int_int_int),hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,plus_plus_int),hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,power_power_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,power_power_int),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.62/223.32  all P_5 (quotient_of(hAPP_rat_rat(inverse_inverse_rat,P_5))=hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,hAPP_f400200275nt_int(hAPP_f1731308757nt_int(cOMBB_735549356nt_int,cOMBB_1389251822nt_int),hAPP_P621635040nt_int(hAPP_f1582586579nt_int(cOMBC_707974837nt_int,hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,if_Pro1731782967nt_int),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,fe_qual_int),zero_zero_int))),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int)))),hAPP_f1574055885nt_int(hAPP_f434654626nt_int(cOMBS_2011279539nt_int,hAPP_f2094497995nt_int(hAPP_f534361363nt_int(cOMBB_1657320178nt_int,cOMBC_1964283556nt_int),hAPP_f2004554147nt_int(hAPP_f1228585167nt_int(cOMBB_1102189010nt_int,hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int)),hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,times_times_int),sgn_sgn_int)))),abs_abs_int))),quotient_of(P_5))).
% 224.62/223.32  all X_2 hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.62/223.32  all B (adjust(B)=produc1518849193nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,cOMBS_1891347093nt_int),hAPP_f55007289nt_int(hAPP_f747475781nt_int(cOMBB_222539774nt_int,hAPP_f1311564564nt_int(cOMBS_1640193733nt_int,hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,if_Pro1731782967nt_int),hAPP_f429935748t_bool(hAPP_f1512942609t_bool(cOMBB_int_bool_int,hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int)),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,minus_minus_int),B))))),hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,cOMBB_1846624359nt_int),hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,plus_plus_int),hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_int)))),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,minus_minus_int),B))))),hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 224.62/223.32  all X0 F R_4 ((all X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_4)),R_4)))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),hAPP_r474017924t_real(power_power_real,X))))))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X0),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_4)),R_4)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_4))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,suminf_real),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F))),hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,cOMBB_nat_real_nat),power_power_real)),suc))),X0),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),hAPP_r474017924t_real(power_power_real,X0)))))))).
% 224.62/223.32  frac=produc93441119t_bool(hAPP_f428220345t_bool(hAPP_f654702867t_bool(cOMBB_591320580ol_int,hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_int,zero_zero_int)))),hAPP_i345030060t_bool(hAPP_f791698359t_bool(cOMBC_241247961t_bool,hAPP_f791698359t_bool(hAPP_f847817363t_bool(cOMBB_562416518ol_int,cOMBC_int_int_bool),hAPP_f725770969t_bool(hAPP_f983569339t_bool(cOMBB_550562460ol_int,hAPP_f1399575567t_bool(cOMBB_118231410ol_int,fe_qual_int)),int_gcd))),one_one_int))).
% 224.62/223.32  all X_3 (hBOOL(summable_complex(X_3))->hAPP_complex_complex(cnj,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f213450978omplex(suminf_complex,hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3))).
% 224.62/223.32  all X_3 (hBOOL(summable_complex(X_3))->hBOOL(summable_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3)))).
% 224.62/223.32  all X_3 (hBOOL(summable_complex(X_3))->hBOOL(summable_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3)))).
% 224.62/223.32  all X_3 (hBOOL(summable_complex(X_3))->hBOOL(summable_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3)))).
% 224.62/223.32  all X_3 (hBOOL(summable_complex(X_3))->hAPP_complex_real(re,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f352196356l_real(suminf_real,hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3))).
% 224.62/223.32  all X_3 (hBOOL(summable_complex(X_3))->hAPP_complex_real(im,hAPP_f213450978omplex(suminf_complex,X_3))=hAPP_f352196356l_real(suminf_real,hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3))).
% 224.62/223.32  ratrel=collec50511176nt_int(produc973645403t_bool(hAPP_f1781059817t_bool(hAPP_f125837377t_bool(cOMBS_1610675060t_bool,hAPP_f1965248563t_bool(hAPP_f1273270095t_bool(cOMBB_595786433nt_int,cOMBB_1344650379nt_int),hAPP_f365317245l_bool(hAPP_f1961001761l_bool(cOMBB_1550063917nt_int,fconj),hAPP_f237669397t_bool(hAPP_f513299955t_bool(cOMBB_1344650379nt_int,fNot),hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,fe_qual_int),product_snd_int_int)),zero_zero_int))))),hAPP_f1781059817t_bool(hAPP_f326728547t_bool(cOMBB_2086486755nt_int,hAPP_f461489489t_bool(cOMBS_400904860l_bool,hAPP_f365317245l_bool(hAPP_f1961001761l_bool(cOMBB_1550063917nt_int,fconj),hAPP_f237669397t_bool(hAPP_f513299955t_bool(cOMBB_1344650379nt_int,fNot),hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,fe_qual_int),product_snd_int_int)),zero_zero_int))))),hAPP_f1187443546t_bool(hAPP_f11709033t_bool(cOMBS_1676841879t_bool,hAPP_f223623489t_bool(hAPP_f1815301987t_bool(cOMBB_650041899nt_int,cOMBS_480885903t_bool),hAPP_f1198736473t_bool(hAPP_f2042071795t_bool(cOMBB_773384995nt_int,hAPP_f214467655t_bool(cOMBB_182850971nt_int,fe_qual_int)),hAPP_f167782601nt_int(hAPP_f1769710159nt_int(cOMBC_2037038898nt_int,hAPP_f301246617nt_int(hAPP_f1151807883nt_int(cOMBB_563965291nt_int,cOMBB_47643171nt_int),hAPP_f1855025978nt_int(hAPP_f1038672605nt_int(cOMBB_1506897658nt_int,times_times_int),product_fst_int_int))),product_snd_int_int)))),hAPP_f167782601nt_int(hAPP_f400538607nt_int(cOMBB_866192175nt_int,hAPP_f578362681nt_int(cOMBC_1417754532nt_int,hAPP_f1855025978nt_int(hAPP_f1038672605nt_int(cOMBB_1506897658nt_int,times_times_int),product_fst_int_int))),product_snd_int_int)))))).
% 224.62/223.32  all Ma N ((N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N))->divmod_nat(Ma,N)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),Ma))& (-(N=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),N)))->divmod_nat(Ma,N)=hAPP_P1586233937at_nat(produc1391996073at_nat(hAPP_f837737749at_nat(hAPP_f999082675at_nat(cOMBB_348438404at_nat,product_Pair_nat_nat),suc)),divmod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),N),N)))).
% 224.62/223.32  all P_1 A B N (hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),hAPP_nat_nat(suc,N))=hAPP_P1860904029l_real(produc595218619l_real(hAPP_f2072293513l_real(hAPP_f1763467369l_real(cOMBS_163651580l_real,hAPP_f1663701695l_real(hAPP_f774948957l_real(cOMBB_3698607l_real,cOMBS_902912708l_real),hAPP_f324002831l_real(hAPP_f677014621l_real(cOMBS_107495110l_real,hAPP_f1161935955l_real(hAPP_f328572565l_real(cOMBB_520243667l_real,cOMBS_794971624l_real),hAPP_f517738447l_real(hAPP_f1879982819l_real(cOMBB_731595089l_real,hAPP_f1076489843l_real(cOMBB_415306361l_real,if_Pro313124157l_real)),hAPP_f1884005689l_bool(hAPP_f172451459l_bool(cOMBB_421479067l_real,hAPP_f940061907l_bool(cOMBB_1795223523l_real,P_1)),hAPP_f320596107l_real(hAPP_f850851693l_real(cOMBS_193881978l_real,hAPP_f1119546819l_real(hAPP_f555557763l_real(cOMBB_422423973l_real,cOMBB_2107848501l_real),produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1591894897l_real(hAPP_f644105375l_real(cOMBC_467724138l_real,hAPP_f1108539711l_real(hAPP_f1109256153l_real(cOMBB_44084907l_real,cOMBS_511527878l_real),hAPP_f823702159l_real(hAPP_f1040184293l_real(cOMBB_557258983l_real,hAPP_f2114902373l_real(cOMBB_237479429l_real,produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),cOMBI_real)))),hAPP_f320596107l_real(hAPP_f850851693l_real(cOMBS_193881978l_real,hAPP_f1119546819l_real(hAPP_f555557763l_real(cOMBB_422423973l_real,cOMBB_2107848501l_real),produc865579683l_real)),hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,cOMBC_real_real_real),hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real)),plus_plus_real))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N))).
% 224.62/223.32  all A R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_2))-> (hBOOL(summable_real(A))-> (exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_f352196356l_real(suminf_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,A),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),N_2))))),R_2)))))).
% 224.62/223.32  all L K_1 (is_int(L)&is_int(K_1)-> (K_1=zero_zero_int->divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))& (K_1!=zero_zero_int-> (L=zero_zero_int->divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_1))& (L!=zero_zero_int->divmod_int(K_1,L)=hAPP_P1975530577nt_int(produc713050258nt_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(sgn_sgn_int,L))),hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fdisj(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),L)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K_1)),hAPP_bool_bool(hAPP_b589554111l_bool(fconj,hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,L),zero_zero_int)),hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K_1),zero_zero_int)))),pdivmod(K_1,L)),hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,cOMBS_1891347093nt_int),hAPP_f1148171384nt_int(hAPP_f334321603nt_int(cOMBB_1484610687nt_int,hAPP_f1582586579nt_int(cOMBC_707974837nt_int,hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,if_Pro1731782967nt_int),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,fe_qual_int),zero_zero_int)))),hAPP_i1584592887nt_int(hAPP_f465821005nt_int(cOMBC_1964283556nt_int,hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),zero_zero_int)))),hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,cOMBB_1846624359nt_int),hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,minus_minus_int),uminus_uminus_int)),one_one_int)))),hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(abs_abs_int,L))))),pdivmod(K_1,L))))))).
% 224.62/223.32  negateSnd=produc713050258nt_int(uminus_uminus_int).
% 224.62/223.32  all L K_1 (is_int(L)&is_int(K_1)-> (K_1=zero_zero_int->divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))& (K_1!=zero_zero_int-> (L=zero_zero_int->divmod_int(K_1,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_1))& (L!=zero_zero_int->divmod_int(K_1,L)=hAPP_P1975530577nt_int(produc713050258nt_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(sgn_sgn_int,L))),hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,hAPP_int_int(sgn_sgn_int,K_1)),hAPP_int_int(sgn_sgn_int,L))),pdivmod(K_1,L)),hAPP_P1975530577nt_int(produc1518849193nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,cOMBS_1891347093nt_int),hAPP_f1148171384nt_int(hAPP_f334321603nt_int(cOMBB_1484610687nt_int,hAPP_f1582586579nt_int(cOMBC_707974837nt_int,hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,if_Pro1731782967nt_int),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,fe_qual_int),zero_zero_int)))),hAPP_i1584592887nt_int(hAPP_f465821005nt_int(cOMBC_1964283556nt_int,hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),uminus_uminus_int)),zero_zero_int)))),hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,cOMBB_1846624359nt_int),hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,product_Pair_int_int),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,minus_minus_int),uminus_uminus_int)),one_one_int)))),hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(abs_abs_int,L))))),pdivmod(K_1,L))))))).
% 224.62/223.32  all F G ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,N_2))),hAPP_nat_real(G,N_2))))-> (hBOOL(summable_real(G))->hBOOL(summable_real(F))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,F)),hAPP_f352196356l_real(suminf_real,G))))).
% 224.62/223.32  all F (hBOOL(summable_real(F))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(F,N_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))))).
% 224.62/223.32  all F (hBOOL(summable_real(F))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))))).
% 224.62/223.32  all F ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_2))))-> (hBOOL(summable_real(F))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))))).
% 224.62/223.32  all D (int_ge_less_than2(D)=collec1347809874nt_int(produc93441119t_bool(hAPP_f428220345t_bool(hAPP_f654702867t_bool(cOMBB_591320580ol_int,hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,D)))),ord_less_int)))).
% 224.62/223.32  all D (int_ge_less_than(D)=collec1347809874nt_int(produc93441119t_bool(hAPP_f428220345t_bool(hAPP_f1878066172t_bool(cOMBS_1720984575t_bool,hAPP_f1315737299t_bool(hAPP_f538565589t_bool(cOMBB_1211207212ol_int,cOMBB_bool_bool_int),hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,D)))),ord_less_int)))).
% 224.62/223.32  all X_2 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat)))),hAPP_real_real(sin,X_2))).
% 224.62/223.32  all X_2 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),sin_coeff)),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_real_real(sin,X_2))).
% 224.62/223.32  all X_2 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),cos_coeff)),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_real_real(cos,X_2))).
% 224.62/223.32  hBOOL(hAPP_real_bool(sums_real(hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),suc)),one_one_real)).
% 224.62/223.32  all X_2 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 224.62/223.32  all G X_2 (hBOOL(hAPP_real_bool(sums_real(G),X_2))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),one_one_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),X_2))).
% 224.62/223.32  all F Y_2 G X_2 (hBOOL(hAPP_real_bool(sums_real(G),X_2))-> (hBOOL(hAPP_real_bool(sums_real(F),Y_2))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),one_one_nat))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_2),Y_2))))).
% 224.62/223.32  all X_2 hBOOL(hAPP_real_bool(sums_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,fact_fact_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_real_real(cos,X_2))).
% 224.62/223.32  all X_3 A (hBOOL(hAPP_complex_bool(sums_complex(X_3),A))->hBOOL(hAPP_complex_bool(sums_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3)),hAPP_complex_complex(cnj,A)))).
% 224.62/223.32  all X_3 A (hBOOL(hAPP_complex_bool(sums_complex(X_3),A))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3)),hAPP_complex_real(re,A)))).
% 224.62/223.32  all X_3 A (hBOOL(hAPP_complex_bool(sums_complex(X_3),A))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3)),hAPP_complex_real(im,A)))).
% 224.62/223.32  all N (hAPP_nat_real(diffs_real(sin_coeff),N)=hAPP_nat_real(cos_coeff,N)).
% 224.62/223.32  diffs_real(sin_coeff)=cos_coeff.
% 224.62/223.32  all X (hAPP_nat_real(diffs_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),X)=hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,X)))).
% 224.62/223.32  all Ma N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Ma)),N))<->hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma)),N))).
% 224.62/223.32  all N (hAPP_nat_real(diffs_real(cos_coeff),N)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,N))).
% 224.62/223.32  all X (hAPP_nat_real(diffs_real(cos_coeff),X)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,X))).
% 224.62/223.32  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),N))).
% 224.62/223.32  all F G ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),hAPP_nat_real(G,N_2))))-> (hBOOL(summable_real(F))-> (hBOOL(summable_real(G))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,F)),hAPP_f352196356l_real(suminf_real,G)))))).
% 224.62/223.32  all Y_2 (hAPP_real_real(arctan,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),tan)),Y_2))))).
% 224.62/223.32  all Y_2 (hAPP_real_real(arcsin,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),sin)),Y_2))))).
% 224.62/223.32  all X_2 (hAPP_real_real(ln,X_2)=the_real(hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),exp_real)),X_2))).
% 224.62/223.32  all N X_2 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,zero_zero_real))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N))),X_2))))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real))->hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)=hAPP_real_real(uminus_uminus_real,the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_real,zero_zero_real))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),N))),hAPP_real_real(uminus_uminus_real,X_2))))))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real))->hAPP_real_real(hAPP_n546711566l_real(root,N),X_2)=zero_zero_real))).
% 224.62/223.32  all Y_2 (hAPP_real_real(arccos,Y_2)=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),pi))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),cos)),Y_2))))).
% 224.62/223.32  pi=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),cos)),zero_zero_real))))).
% 224.62/223.32  hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=the_real(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real))),hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,fconj),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,ord_less_e_q_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,fe_qual_real),cos)),zero_zero_real)))).
% 224.62/223.32  all Ma N (divmod_nat(Ma,N)=the_Pr588456374at_nat(divmod_nat_rel(Ma,N))).
% 224.62/223.32  all X_2 (archim1246769320r_real(X_2)=the_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_r481142414t_bool(hAPP_f1845081853t_bool(cOMBC_int_real_bool,hAPP_f801032407l_bool(hAPP_f499530369l_bool(cOMBB_1317819104ol_int,ord_less_e_q_real),ring_1_of_int_real)),X_2))),hAPP_f429384717t_bool(hAPP_f1173902867t_bool(cOMBB_real_bool_int,hAPP_r1134773055l_bool(ord_less_real,X_2)),hAPP_f563293398t_real(hAPP_f134192053t_real(cOMBB_int_real_int,ring_1_of_int_real),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,plus_plus_int),one_one_int)))))).
% 224.62/223.32  all X_2 (archim791455193or_rat(X_2)=the_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_r1900510169t_bool(hAPP_f1480506641t_bool(cOMBC_int_rat_bool,hAPP_f601898971t_bool(hAPP_f857296063t_bool(cOMBB_214503962ol_int,ord_less_e_q_rat),ring_1_of_int_rat)),X_2))),hAPP_f1241350704t_bool(hAPP_f1131424617t_bool(cOMBB_rat_bool_int,hAPP_r2115560837t_bool(ord_less_rat,X_2)),hAPP_f1900950721nt_rat(hAPP_f1270196437nt_rat(cOMBB_int_rat_int,ring_1_of_int_rat),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,plus_plus_int),one_one_int)))))).
% 224.62/223.32  all A A_1 Ma ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))&hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),A_1))->hAPP_int_int(rRset2norRR(A_1,Ma),A)=hilbert_Eps_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,zcong(A)),Ma))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,Ma)))))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))&hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),A_1)))->hAPP_int_int(rRset2norRR(A_1,Ma),A)=zero_zero_int)).
% 224.62/223.32  all A A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A_1),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A),A_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A),hilbert_Eps_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,zcong(A)),Ma))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,Ma))))),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hilbert_Eps_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,zcong(A)),Ma))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,Ma))))),hAPP_i1948725293t_bool(norRRset,Ma)))))).
% 224.62/223.32  all X_2 N hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(sin,X_2)),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(abs_abs_real,X_2)),N)))).
% 224.62/223.32  all U F ((all N_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),hAPP_nat_nat(F,N_2))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,ord_less_e_q_nat),F)),U))))).
% 224.62/223.32  all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(L),U))).
% 224.62/223.32  all F N R_2 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),R_2))=hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,minus_minus_real),F)),R_2)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))).
% 224.62/223.32  all K_1 N F_2 (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F_2),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),K_1)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1)))).
% 224.62/223.32  all K_1 N_2 F_2 (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N_2),K_1)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F_2),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N_2))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1)))).
% 224.62/223.32  all P_1 N ((all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))->hBOOL(hAPP_nat_bool(P_1,M_1))))<-> (all X (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))->hBOOL(hAPP_nat_bool(P_1,X))))).
% 224.62/223.32  all P_1 N ((exists M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_nat_bool(P_1,M_1))))<-> (exists X (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))&hBOOL(hAPP_nat_bool(P_1,X))))).
% 224.62/223.32  all L U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(L),U))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,U),L)).
% 224.62/223.32  all N X_2 (X_2!=one_one_real->hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N)),one_one_real)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_2),one_one_real))).
% 224.62/223.32  all F N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),F)),hAPP_r474017924t_real(power_power_real,zero_zero_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(suc,zero_zero_nat)),N))=zero_zero_real).
% 224.62/223.32  all L U (hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(suc,L)),U)=hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U)).
% 224.62/223.32  all K_1 I_1 J (image_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1),hAPP_n1699378549t_bool(ord_at4362885an_nat(I_1),J))=hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))).
% 224.62/223.32  all I_1 J (image_nat_nat(suc,hAPP_n1699378549t_bool(ord_at4362885an_nat(I_1),J))=hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(suc,I_1)),hAPP_nat_nat(suc,J))).
% 224.62/223.32  all Diff N X_2 (X_2=zero_zero_real-> (N!=zero_zero_nat->hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))=hAPP_real_real(hAPP_n546711566l_real(Diff,zero_zero_nat),zero_zero_real))).
% 224.62/223.32  all A_1 K_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),hAPP_n1699378549t_bool(ord_at4362885an_nat(K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_f22106695ol_nat(finite_card_nat,A_1)))))->A_1=hAPP_n1699378549t_bool(ord_at4362885an_nat(K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_f22106695ol_nat(finite_card_nat,A_1)))).
% 224.62/223.32  all F G N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),F)),G)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,F),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,G),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)))).
% 224.62/223.32  all N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),suc)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))=zero_zero_real).
% 224.62/223.32  all N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,zero_zero_real)))),zero_zero_real)),hAPP_n1699378549t_bool(ord_at4362885an_nat(one_one_nat),N))=zero_zero_real).
% 224.62/223.32  all N (hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),zero_zero_real))),hAPP_r474017924t_real(power_power_real,zero_zero_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(suc,N)))=one_one_real).
% 224.62/223.32  all N X_2 exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(sin,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,T),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N)))).
% 224.62/223.32  all N X_2 exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(cos,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,div_div_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),zero_zero_real))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,T),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N)))).
% 224.62/223.32  all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(L),U))).
% 224.62/223.32  all Y_2 X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_2),X_2))->comple124823625p_real(hAPP_r1134773055l_bool(ord_at1496968948n_real(Y_2),X_2))=X_2).
% 224.62/223.32  all U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U))).
% 224.62/223.32  all U (hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U))=hAPP_int_nat(nat,U)).
% 224.62/223.32  all L U (hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(ord_at641636577an_int(L),U))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,U),L))).
% 224.62/223.32  all L U (hAPP_i1948725293t_bool(ord_at641636577an_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,L),one_one_int)),U)=hAPP_i1948725293t_bool(ord_gr1297742076an_int(L),U)).
% 224.62/223.32  all L U (image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,plus_plus_int),L),hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,U),L)))=hAPP_i1948725293t_bool(ord_at641636577an_int(L),U)).
% 224.62/223.32  all X_2 N exists T (hAPP_real_real(sin,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,if_real),even_odd_even_nat)),zero_zero_real)),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min))),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,div_div_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,minus_minus_nat),hAPP_nat_nat(suc,zero_zero_nat)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,T),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_real(real_nat,N))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N)))).
% 224.62/223.32  all B_1 K_1 Diff H N ((all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),T),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)))))-> (N=hAPP_nat_nat(suc,K_1)-> (all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,minus_minus_real),hAPP_n546711566l_real(Diff,M_1))),hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,plus_plus_real),hAPP_f2119584768l_real(hAPP_f59594445l_real(cOMBC_2010481033l_real,hAPP_f1523861863l_real(hAPP_f1067681227l_real(cOMBB_1934313333l_real,big_co604158596t_real),hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f1904307534l_real(hAPP_f224989205l_real(cOMBB_1419615765al_nat,Diff),hAPP_nat_fun_nat_nat(plus_plus_nat,M_1))),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))))),power_power_real))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_1))))),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,hAPP_r1250527377l_real(times_times_real,B_1)),hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real),hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_1)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M_1))))))),T),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f1904307534l_real(hAPP_f224989205l_real(cOMBB_1419615765al_nat,Diff),hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M_1)))),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,T))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_1))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,T),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_1)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,M_1)))))))))))))).
% 224.62/223.32  all N X_2 (X_2!=zero_zero_real-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,T)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(exp_real,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(exp_real,T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N))))))).
% 224.62/223.32  all N X_2 exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(exp_real,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(exp_real,T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N)))).
% 224.62/223.32  all K_1 F (hBOOL(summable_real(F))-> ((all D_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),D_2)))),hAPP_nat_real(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),D_2)),one_one_nat)))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K_1))),hAPP_f352196356l_real(suminf_real,F))))).
% 224.62/223.32  all F J N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))-> (exists B_6 (hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),J)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_6),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))))))).
% 224.62/223.32  all N F (hBOOL(summable_real(F))-> ((all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(F,M_1)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f352196356l_real(suminf_real,F))))).
% 224.62/223.32  all N F (hBOOL(summable_real(F))-> ((all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,M_1)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_f352196356l_real(suminf_real,F))))).
% 224.62/223.32  all X_2 N Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (X_2!=zero_zero_real-> ((all M_1 X hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),X),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),X))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,T)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(F,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N))))))))).
% 224.62/223.32  all N X_2 Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 X hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),X),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),X))))&X_2!=zero_zero_real&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,T)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(F,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N)))))).
% 224.62/223.32  all X_2 N Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),T),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(F,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N))))))).
% 224.62/223.32  all Diff F N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))&hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),T),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,T),H))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)))))).
% 224.62/223.32  all N Diff F H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))&hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),T),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),H))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)))))).
% 224.62/223.32  all Diff F N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),zero_zero_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),T),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,T),zero_zero_real))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))))))))).
% 224.62/223.32  all N Diff F H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))-> (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),T),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),H))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)))))))).
% 224.62/223.32  all Diff F N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),zero_zero_real))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))&hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,H),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),zero_zero_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),T),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,H),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,T),zero_zero_real))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N)))))).
% 224.62/223.32  all Diff F N H (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),H))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,T),H))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),T),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),T)))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),T))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,T),H))&hAPP_real_real(F,H)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,H))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),N))))))))).
% 224.62/223.32  all N X_2 Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_1 X hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),X),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),X))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(F,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N))))))).
% 224.62/223.32  all N X_2 Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 X hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),X),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),X))))-> (exists T (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,T)),hAPP_real_real(abs_abs_real,X_2)))&hAPP_real_real(F,X_2)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,inverse_divide_real),hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,Diff),zero_zero_real))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat)))),hAPP_r474017924t_real(power_power_real,X_2))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(Diff,N),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_2),N)))))).
% 224.62/223.32  all F K_3 N ((all P_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,P_4),N))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,P_4)),K_3))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),K_3)))).
% 224.62/223.32  all F X_2 F_1 N Ma ((all R_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),R_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),N)))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(F,R_1),X_2),hAPP_real_real(hAPP_n546711566l_real(F_1,R_1),X_2)))))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f2119584768l_real(hAPP_f59594445l_real(cOMBC_2010481033l_real,hAPP_f1523861863l_real(hAPP_f1067681227l_real(cOMBB_1934313333l_real,big_co604158596t_real),hAPP_f42270917t_real(cOMBC_nat_real_real,F))),hAPP_n1699378549t_bool(ord_at4362885an_nat(Ma),N)),X_2),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,F_1),X_2)),hAPP_n1699378549t_bool(ord_at4362885an_nat(Ma),N))))).
% 224.62/223.32  all X_2 F (hBOOL(summable_real(F))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N_2))),X_2)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,F)),X_2)))).
% 224.62/223.32  all F A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> ((all X (is_int(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_int_int(F,X))))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_f1594865479ol_int(hAPP_f1926459811ol_int(big_co230513141nt_int,F),A_1))))).
% 224.62/223.32  all X_2 F ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N_2))),X_2)))->hBOOL(summable_real(F)))).
% 224.62/223.32  all A D N (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),hAPP_f659380387ol_int(hAPP_f1599440987ol_int(big_co1024481617at_int,hAPP_f1139079189at_int(hAPP_f1431025877at_int(cOMBB_int_int_nat,hAPP_int_fun_int_int(plus_plus_int,A)),hAPP_int_fun_nat_int(hAPP_f1673103573at_int(cOMBC_nat_int_int,hAPP_f1935805932nt_int(hAPP_f125788821nt_int(cOMBB_859312247nt_nat,times_times_int),semiri1621563631at_int)),D))),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))),D))))).
% 224.62/223.32  all K_3 K_1 F ((all N_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,K_1),hAPP_nat_real(F,N_2)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),K_3))))->hBOOL(bse_q_real(F))).
% 224.62/223.32  all K_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_lessThan_nat,K_1))).
% 224.62/223.32  all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (exists K hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,K))))).
% 224.62/223.32  all U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_lessThan_nat,U))=U).
% 224.62/223.32  all N (hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N)=hAPP_n1699378549t_bool(ord_lessThan_nat,N)).
% 224.62/223.32  all A D N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,hAPP_nat_fun_nat_nat(plus_plus_nat,A)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),D))),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)),D))))).
% 224.62/223.32  all U (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),U))->hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U)=image_nat_int(semiri1621563631at_int,hAPP_n1699378549t_bool(ord_lessThan_nat,hAPP_int_nat(nat,U)))).
% 224.62/223.32  all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))-> (exists K hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,K))))).
% 224.62/223.32  all N Q_3 P_1 ((all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(Q_3,X)),hAPP_nat_nat(P_1,X))))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,P_1),hAPP_n1699378549t_bool(ord_lessThan_nat,N))),hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,Q_3),hAPP_n1699378549t_bool(ord_lessThan_nat,N)))=hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,hAPP_f1914919701at_nat(hAPP_f1408247010at_nat(cOMBS_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,minus_minus_nat),P_1)),Q_3)),hAPP_n1699378549t_bool(ord_lessThan_nat,N))).
% 224.62/223.32  all X_2 (comple124823625p_real(hAPP_r1134773055l_bool(ord_lessThan_real,X_2))=X_2).
% 224.62/223.32  all P_2 P_1 ((all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(P_1,X))<->hBOOL(hAPP_int_bool(P_2,X))))))->collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),P_1))=collect_int(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))),P_2))).
% 224.62/223.32  all P_3 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,P_3)))->normalize(P_3)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_P1175774780nt_int(product_fst_int_int,P_3)),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,P_3)),hAPP_P1175774780nt_int(product_snd_int_int,P_3)))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_P1175774780nt_int(product_snd_int_int,P_3)),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,P_3)),hAPP_P1175774780nt_int(product_snd_int_int,P_3)))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,P_3)))-> (hAPP_P1175774780nt_int(product_snd_int_int,P_3)=zero_zero_int->normalize(P_3)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int))& (hAPP_P1175774780nt_int(product_snd_int_int,P_3)!=zero_zero_int->normalize(P_3)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_P1175774780nt_int(product_fst_int_int,P_3)),hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,P_3)),hAPP_P1175774780nt_int(product_snd_int_int,P_3))))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_P1175774780nt_int(product_snd_int_int,P_3)),hAPP_int_int(uminus_uminus_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,P_3)),hAPP_P1175774780nt_int(product_snd_int_int,P_3)))))))).
% 224.62/223.33  all X_1 Y_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)),X_1)).
% 224.62/223.33  all X_1 Y_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)),Y_1)).
% 224.62/223.33  all N_1 M A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),M))=one_one_int).
% 224.62/223.33  all X_1 Y_1 M (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1)),M)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),M)=one_one_int).
% 224.62/223.33  all N_1 M R_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),R_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N_1),R_3))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1)),R_3))))).
% 224.62/223.33  all Ma K_1 N (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_1),N)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),Ma)))).
% 224.62/223.33  all M K_2 N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_2),N_1)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M)))).
% 224.62/223.33  all B_2 A_3 (is_int(B_2)&is_int(A_3)-> (A_3!=zero_zero_int|B_2!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)))=one_one_int)).
% 224.62/223.33  all B_5 A_5 A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)!=zero_zero_int-> (A_3=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_5),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2))-> (B_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_5),B_5)=one_one_int))).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_nat_int(semiri1621563631at_int,X_1)),hAPP_nat_int(semiri1621563631at_int,Y_1))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X_1),Y_1))).
% 224.62/223.33  all M K_2 N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1)).
% 224.62/223.33  all M N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M),N_1)),N_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1)).
% 224.62/223.33  all M N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1)).
% 224.62/223.33  all N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int)),N_1)=one_one_int).
% 224.62/223.33  all N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N_1),one_one_int)),N_1)=one_one_int).
% 224.62/223.33  all E_1 B_2 D_3 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E_1),B_2))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),E_1)=one_one_int))).
% 224.62/223.33  all N_1 D_3 A_3 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_3)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N_1))=one_one_int).
% 224.62/223.33  all M (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),one_one_int)=one_one_int).
% 224.62/223.33  all Ma N (is_int(Ma)&is_int(N)-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ma),N)=zero_zero_int<->Ma=zero_zero_int&N=zero_zero_int)).
% 224.62/223.33  all A_3 N_1 B_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),N_1))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)),N_1)).
% 224.62/223.33  all A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_2),A_3)).
% 224.62/223.33  all B_2 A_3 C_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),C_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_2),C_1))).
% 224.62/223.33  all A_3 B_2 C_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)),C_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_2),C_1))).
% 224.62/223.33  all I M N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),N_1))).
% 224.62/223.33  all I M N_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),M))).
% 224.62/223.33  all N_1 K_2 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1))))).
% 224.62/223.33  all K_1 Ma N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ma),N)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),Ma))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_1),N))).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Y_1),hAPP_int_int(div_mod_int(X_1),Y_1))).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)).
% 224.62/223.33  all X_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),X_1)=hAPP_int_int(abs_abs_int,X_1)).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(abs_abs_int,X_1)),hAPP_int_int(abs_abs_int,Y_1))).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),hAPP_int_int(abs_abs_int,Y_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(abs_abs_int,X_1)),Y_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_1)),Y_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),hAPP_int_int(uminus_uminus_int,Y_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)).
% 224.62/223.33  all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),Y_1))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)=hAPP_int_int(abs_abs_int,X_1)).
% 224.62/223.33  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Y_1),X_1))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)=hAPP_int_int(abs_abs_int,Y_1)).
% 224.62/223.33  all K_2 M N_1 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,K_2)),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N_1))).
% 224.62/223.33  all Ma N (is_int(Ma)&is_int(N)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ma),N)))<->Ma!=zero_zero_int|N!=zero_zero_int)).
% 224.62/223.33  all D_3 A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2))=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),B_2)=one_one_int).
% 224.62/223.33  all D_3 A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2))=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_3)=one_one_int).
% 224.62/223.33  all B_2 D_3 A_3 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),A_3)=one_one_int-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),B_2)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_3),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),B_2))=one_one_int)).
% 224.62/223.33  all M K_2 N_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_2),N_1)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),N_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N_1)).
% 224.62/223.33  all D A B (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A),B))=one_one_int<->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),A)=one_one_int&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D),B)=one_one_int).
% 224.62/223.33  all X_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,zero_zero_int),X_1)=hAPP_int_int(abs_abs_int,X_1)).
% 224.62/223.33  all X_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),zero_zero_int)=hAPP_int_int(abs_abs_int,X_1)).
% 224.62/223.33  all A_3 B_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_2),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)))=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)).
% 224.62/223.33  all X_1 Y_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y_1))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Y_1),hAPP_int_int(div_mod_int(X_1),Y_1))).
% 224.62/223.33  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1))))).
% 224.62/223.33  all X_1 Y_1 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1))).
% 224.62/223.33  all B_2 A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)),A_3))).
% 224.62/223.33  all A_3 B_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)),B_2))).
% 224.62/223.33  all B A D (is_int(D)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),A))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),B))& (all E (is_int(E)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),A))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),B))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),D)))))<->D=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),B))).
% 224.62/223.33  all P_1 Y_2 X_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_2),Y_2)))))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),zero_zero_int))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_2),hAPP_int_int(uminus_uminus_int,Y_2))))))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_2))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_2)),Y_2)))))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_2),zero_zero_int))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X_2)),hAPP_int_int(uminus_uminus_int,Y_2))))))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_2),Y_2))))))).
% 224.62/223.33  all B C A D (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),D)=one_one_int-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B),C)=one_one_int-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A)),hAPP_int_int(abs_abs_int,C))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,B)),hAPP_int_int(abs_abs_int,D))<->hAPP_int_int(abs_abs_int,A)=hAPP_int_int(abs_abs_int,B)&hAPP_int_int(abs_abs_int,C)=hAPP_int_int(abs_abs_int,D)))).
% 224.62/223.33  all K_1 L (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_1),L)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,L),zero_zero_int)),K_1),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,L),hAPP_int_int(div_mod_int(hAPP_int_int(abs_abs_int,K_1)),hAPP_int_int(abs_abs_int,L)))))).
% 224.62/223.33  all X_1 A_3 B_2 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_1),B_2))->hAPP_int_int(abs_abs_int,X_1)=one_one_int))).
% 224.62/223.33  all R_3 P_3 Q_2 (quotient_of(R_3)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2)->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,P_3),Q_2)=one_one_int).
% 224.62/223.33  all R_3 P_3 Q_2 (normalize(R_3)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2)->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,P_3),Q_2)=one_one_int).
% 224.62/223.33  all A B (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A),B)=one_one_int<-> (all D_2 (is_int(D_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_2),A))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_2),B))<->D_2=one_one_int)))).
% 224.62/223.33  all Y_1 X_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_int_nat(nat,X_1)),hAPP_int_nat(nat,Y_1))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)))).
% 224.62/223.33  all X_1 Y_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,X_1))),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Y_1))))).
% 224.62/223.33  all P_3 Q_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Q_2))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,P_3),Q_2)=one_one_int->normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_2))).
% 224.62/223.33  all X_2 (quotient_of(X_2)=the_Pr2103884470nt_int(hAPP_f237669397t_bool(hAPP_f461489489t_bool(cOMBS_400904860l_bool,hAPP_f365317245l_bool(hAPP_f1961001761l_bool(cOMBB_1550063917nt_int,fconj),hAPP_f1084724746t_bool(hAPP_f374502857t_bool(cOMBB_569260360nt_int,hAPP_r2115560837t_bool(fe_qual_rat,X_2)),hAPP_f1065357839nt_rat(hAPP_f1120137083nt_rat(cOMBS_549334880nt_rat,hAPP_f1547007718nt_rat(hAPP_f382317021nt_rat(cOMBB_170828966nt_int,fract),product_fst_int_int)),product_snd_int_int)))),hAPP_f237669397t_bool(hAPP_f461489489t_bool(cOMBS_400904860l_bool,hAPP_f365317245l_bool(hAPP_f1961001761l_bool(cOMBB_1550063917nt_int,fconj),hAPP_f892584630t_bool(hAPP_f492612297t_bool(cOMBB_798864284nt_int,hAPP_i1948725293t_bool(ord_less_int,zero_zero_int)),product_snd_int_int))),hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,fe_qual_int),hAPP_f521271395nt_int(hAPP_f1914742907nt_int(cOMBS_2019229620nt_int,hAPP_f1855025978nt_int(hAPP_f1038672605nt_int(cOMBB_1506897658nt_int,gcd_gcd_int),product_fst_int_int)),product_snd_int_int))),one_one_int))))).
% 224.62/223.33  all R_3 exists X (R_3=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_P1175774780nt_int(product_fst_int_int,X)),hAPP_P1175774780nt_int(product_snd_int_int,X))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,X)))&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,X)),hAPP_P1175774780nt_int(product_snd_int_int,X))=one_one_int& (all Y (R_3=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_P1175774780nt_int(product_fst_int_int,Y)),hAPP_P1175774780nt_int(product_snd_int_int,Y))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,Y)))&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,Y)),hAPP_P1175774780nt_int(product_snd_int_int,Y))=one_one_int->Y=X))).
% 224.62/223.33  all Q_2 ((all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (Q_2=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_4)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))-> (A_2!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_4)!=one_one_int)))))->Q_2=zero_zero_rat).
% 224.62/223.33  all Q_2 (-(all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (Q_2=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_4)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_4)!=one_one_int))))).
% 224.62/223.33  all Q_1 P_1 ((all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_4))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_2),B_4)=one_one_int->hBOOL(hAPP_rat_bool(P_1,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_2),B_4)))))))->hBOOL(hAPP_rat_bool(P_1,Q_1))).
% 224.62/223.33  all N S (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,S))-> ((all X (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X),S))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X))))-> ((all X (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X),S))->hAPP_f957591787ol_nat(finite_card_int,X)=N))->hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,finite_card_int),S)=hAPP_f521865025ol_nat(hAPP_f93439879ol_nat(big_co1758102091ol_nat,cOMBK_1643584600t_bool(N)),S)))).
% 224.62/223.33  zOdd=collect_int(hAPP_f2119767738t_bool(hAPP_f423804115t_bool(cOMBB_1418110531ol_int,fEx_int),hAPP_f1791153283t_bool(hAPP_f735247205t_bool(cOMBC_983868720t_bool,hAPP_f1251097615t_bool(hAPP_f1475822739t_bool(cOMBB_2027861294ol_int,cOMBB_int_bool_int),fe_qual_int)),hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,plus_plus_int),hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_int)))).
% 224.62/223.33  field_1210416355s_real=collect_real(hAPP_f101635158l_bool(hAPP_f1925507189l_bool(cOMBB_1121934354l_real,fEx_int),hAPP_f1625314454t_bool(hAPP_f340152631t_bool(cOMBB_1453147152l_real,hAPP_f423804115t_bool(cOMBB_1418110531ol_int,fEx_int)),hAPP_f1832844496t_bool(hAPP_f1990636069t_bool(cOMBC_412863505t_bool,hAPP_f704188951t_bool(hAPP_f1456711209t_bool(cOMBB_690122963l_real,cOMBC_1683390479t_bool),hAPP_f1063001928t_bool(hAPP_f2050994651t_bool(cOMBB_2138578194l_real,hAPP_f85237525t_bool(cOMBB_389152643ol_int,cOMBS_int_bool_bool)),hAPP_f381769257l_bool(hAPP_f512004221l_bool(cOMBB_188663909l_real,hAPP_f1830214065l_bool(cOMBB_793166024ol_int,hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,fconj))),hAPP_f956464319t_bool(hAPP_f422375781t_bool(cOMBC_243356514t_bool,hAPP_f332806115t_bool(hAPP_f1177545951t_bool(cOMBB_1459832681l_real,cOMBB_95956018ol_int),hAPP_f1920544743t_bool(hAPP_f866672739t_bool(cOMBB_1247074793l_real,cOMBB_real_bool_int),fe_qual_real))),hAPP_f1323932638t_real(hAPP_f352226557t_real(cOMBC_824100275t_real,hAPP_f74147283t_real(hAPP_f1169087445t_real(cOMBB_2129825580al_int,cOMBB_real_real_int),hAPP_f1352333353l_real(hAPP_f318350629l_real(cOMBB_1946221070al_int,inverse_divide_real),real_int))),real_int)))))),hAPP_f1805168059t_bool(hAPP_f627970963t_bool(cOMBB_bool_bool_int,fNot),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,fe_qual_int),zero_zero_int)))))).
% 224.62/223.33  zEven=collect_int(hAPP_f2119767738t_bool(hAPP_f423804115t_bool(cOMBB_1418110531ol_int,fEx_int),hAPP_f1791153283t_bool(hAPP_f735247205t_bool(cOMBC_983868720t_bool,hAPP_f1251097615t_bool(hAPP_f1475822739t_bool(cOMBB_2027861294ol_int,cOMBB_int_bool_int),fe_qual_int)),hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.62/223.33  all A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A))->hBOOL(tendsto_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))),hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,ord_at4362885an_nat(zero_zero_nat)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),se_quentially)))).
% 224.62/223.33  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),one_one_real))->hBOOL(tendsto_nat_real(hAPP_r474017924t_real(power_power_real,X_2),zero_zero_real,se_quentially)))).
% 224.62/223.33  all A X_3 X_2 (hBOOL(tendsto_nat_real(X_3,X_2,se_quentially))-> ((exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),hAPP_nat_real(X_3,N_2)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X_2)))).
% 224.62/223.33  all A X_3 X_2 (hBOOL(tendsto_nat_real(X_3,X_2,se_quentially))-> ((exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(X_3,N_2)),A))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),A)))).
% 224.62/223.33  all Y_3 Y_2 X_3 X_2 (hBOOL(tendsto_nat_real(X_3,X_2,se_quentially))-> (hBOOL(tendsto_nat_real(Y_3,Y_2,se_quentially))-> ((exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(X_3,N_2)),hAPP_nat_real(Y_3,N_2)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),Y_2))))).
% 224.62/223.33  all X_2 A (hBOOL(monose_q_real(A))-> (hBOOL(tendsto_nat_real(A,X_2,se_quentially))-> (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A,N_2)),X_2)))& (all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A,M_1)),hAPP_nat_real(A,N_2)))))| (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),hAPP_nat_real(A,N_2))))& (all M_1 N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A,N_2)),hAPP_nat_real(A,M_1))))))).
% 224.62/223.33  all C (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,C)),one_one_real))->hBOOL(tendsto_nat_real(hAPP_r474017924t_real(power_power_real,C),zero_zero_real,se_quentially))).
% 224.62/223.33  all C (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,C)),one_one_real))->hBOOL(tendsto_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(abs_abs_real,C)),zero_zero_real,se_quentially))).
% 224.62/223.33  all R_2 hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc))),R_2,se_quentially)).
% 224.62/223.33  all F L (hBOOL(tendsto_nat_real(F,L,se_quentially))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F),hAPP_real_real(abs_abs_real,L),se_quentially))).
% 224.62/223.33  all F (hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F),zero_zero_real,se_quentially))<->hBOOL(tendsto_nat_real(F,zero_zero_real,se_quentially))).
% 224.62/223.33  hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)),zero_zero_real,se_quentially)).
% 224.62/223.33  all A X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_2))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,A)),hAPP_r474017924t_real(power_power_real,X_2)),zero_zero_real,se_quentially))).
% 224.62/223.33  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X_2))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_r474017924t_real(power_power_real,X_2)),zero_zero_real,se_quentially))).
% 224.62/223.33  all R_2 hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc)))),R_2,se_quentially)).
% 224.62/223.33  all Sa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Sa))->hBOOL(tendsto_nat_real(hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,powr),real_nat)),hAPP_real_real(uminus_uminus_real,Sa)),zero_zero_real,se_quentially))).
% 224.62/223.33  all R_2 hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(times_times_real,R_2)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,one_one_real)),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,uminus_uminus_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),suc))))),R_2,se_quentially)).
% 224.62/223.33  all A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))))).
% 224.62/223.33  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X_2)),one_one_real))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,one_one_real)),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,hAPP_r474017924t_real(power_power_real,X_2)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))),zero_zero_real,se_quentially))).
% 224.62/223.33  field_1210416355s_real=collect_real(hAPP_f101635158l_bool(hAPP_f1925507189l_bool(cOMBB_1121934354l_real,fEx_int),hAPP_f1341793266t_bool(hAPP_f571820015t_bool(cOMBB_1159313332l_real,hAPP_f389116883t_bool(cOMBB_1593174431ol_int,fEx_nat)),hAPP_f1115375056t_bool(hAPP_f271976045t_bool(cOMBC_1801450329t_bool,hAPP_f1927674023t_bool(hAPP_f1261108921t_bool(cOMBB_172850899l_real,cOMBC_678732631t_bool),hAPP_f2084827628t_bool(hAPP_f1121609875t_bool(cOMBB_2125215742l_real,hAPP_f1182713365t_bool(cOMBB_2087181719ol_int,cOMBS_nat_bool_bool)),hAPP_f834119977l_bool(hAPP_f848516149l_bool(cOMBB_270132509l_real,hAPP_f643658017l_bool(cOMBB_2046938128ol_int,hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,fconj))),hAPP_f1459420095t_bool(hAPP_f693283245t_bool(cOMBC_1113900202t_bool,hAPP_f77155443t_bool(hAPP_f403082607t_bool(cOMBB_984071017l_real,cOMBB_1647910634ol_int),hAPP_f1840085295t_bool(hAPP_f1083049571t_bool(cOMBB_2050079537l_real,cOMBB_real_bool_nat),fe_qual_real))),hAPP_f1613846310t_real(hAPP_f1720068861t_real(cOMBC_295337211t_real,hAPP_f1295083291t_real(hAPP_f212164053t_real(cOMBB_929094628al_int,cOMBB_real_real_nat),hAPP_f1352333353l_real(hAPP_f318350629l_real(cOMBB_1946221070al_int,inverse_divide_real),real_int))),real_nat)))))),hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,fNot),hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,fe_qual_nat),zero_zero_nat)))))).
% 224.62/223.33  all A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A))->hBOOL(tendsto_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))),hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,ord_at4362885an_nat(zero_zero_nat)),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),se_quentially)))).
% 224.62/223.33  all A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(A,N_2))))->hBOOL(tendsto_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))),hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,ord_at4362885an_nat(zero_zero_nat)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,plus_plus_nat),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_nat))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),se_quentially))))).
% 224.62/223.33  all N A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(A,N_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)),one_one_nat)))))))).
% 224.62/223.33  all X_3 A (hBOOL(tendsto_nat_complex(X_3,A,se_quentially))->hBOOL(tendsto_nat_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_3),hAPP_complex_complex(cnj,A),se_quentially))).
% 224.62/223.33  all X_3 A (hBOOL(tendsto_nat_complex(X_3,A,se_quentially))->hBOOL(tendsto_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_3),hAPP_complex_real(re,A),se_quentially))).
% 224.62/223.33  all X_3 A (hBOOL(tendsto_nat_complex(X_3,A,se_quentially))->hBOOL(tendsto_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_3),hAPP_complex_real(im,A),se_quentially))).
% 224.62/223.33  all Y_3 B X_3 A (hBOOL(tendsto_nat_real(X_3,A,se_quentially))-> (hBOOL(tendsto_nat_real(Y_3,B,se_quentially))->hBOOL(tendsto_nat_complex(hAPP_f219720582omplex(hAPP_f1052840010omplex(cOMBS_696648398omplex,hAPP_f23851874omplex(hAPP_f406530075omplex(cOMBB_1714920583ex_nat,complex),X_3)),Y_3),hAPP_real_complex(hAPP_r265291036omplex(complex,A),B),se_quentially)))).
% 224.62/223.33  all P_1 A B (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,A),B))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),B))-> (hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,minus_minus_real),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc1935615926l_real),bolzano_bisect(P_1,A,B)))),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,A,B))),zero_zero_real,se_quentially))-> (exists L_1 ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N_2))),L_1)))&hBOOL(tendsto_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc1935615926l_real),bolzano_bisect(P_1,A,B)),L_1,se_quentially))& (all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,L_1),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A,B),N_2)))))&hBOOL(tendsto_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,A,B)),L_1,se_quentially)))))))).
% 224.62/223.33  all N A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(A,N_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))))))).
% 224.62/223.33  all A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(A,N_2))))->hBOOL(tendsto_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))),hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,ord_at4362885an_nat(zero_zero_nat)),hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),se_quentially))))).
% 224.62/223.33  all A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(A,zero_zero_nat)),zero_zero_real))-> (all N_2 hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))),hAPP_r1134773055l_bool(ord_at1589558736t_real(hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)),one_one_nat)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)))))))))).
% 224.62/223.33  all A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(A,zero_zero_nat)))-> (all N_2 hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_f352196356l_real(suminf_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A))),hAPP_r1134773055l_bool(ord_at1589558736t_real(hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_2)),one_one_nat)))))))))).
% 224.62/223.33  all Y_2 X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_2),X_2))->comple124823625p_real(hAPP_r1134773055l_bool(ord_at1589558736t_real(Y_2),X_2))=X_2).
% 224.62/223.33  all A (hBOOL(tendsto_nat_real(A,zero_zero_real,se_quentially))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A,N_2))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A,hAPP_nat_nat(suc,N_2))),hAPP_nat_real(A,N_2))))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,times_times_real),hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)))),A)))))).
% 224.62/223.33  all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U))).
% 224.62/223.33  all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at875362053st_int(L),U))).
% 224.62/223.33  all Y_2 X_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))->hBOOL(hAPP_f448129468l_bool(nat_nat_set,hAPP_i1948725293t_bool(ord_at875362053st_int(X_2),Y_2)))).
% 224.62/223.33  all P_1 N ((exists M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))&hBOOL(hAPP_nat_bool(P_1,M_1))))<-> (exists X (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)))&hBOOL(hAPP_nat_bool(P_1,X))))).
% 224.62/223.33  all P_1 N ((all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N))->hBOOL(hAPP_nat_bool(P_1,M_1))))<-> (all X (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)))->hBOOL(hAPP_nat_bool(P_1,X))))).
% 224.62/223.33  all Ma N (hAPP_n1699378549t_bool(ord_at238088361st_nat(Ma),N)=image_int_nat(nat,hAPP_i1948725293t_bool(ord_at875362053st_int(hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,N)))).
% 224.62/223.33  all I_1 J (image_nat_nat(suc,hAPP_n1699378549t_bool(ord_at238088361st_nat(I_1),J))=hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(suc,I_1)),hAPP_nat_nat(suc,J))).
% 224.67/223.33  all K_1 I_1 J (image_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K_1),hAPP_n1699378549t_bool(ord_at238088361st_nat(I_1),J))=hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K_1))).
% 224.67/223.33  all N (hAPP_nat_nat(fact_fact_nat,N)=big_co1705425894at_nat(cOMBI_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(one_one_nat),N))).
% 224.67/223.33  all L U (hAPP_n1699378549t_bool(ord_at4362885an_nat(L),hAPP_nat_nat(suc,U))=hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U)).
% 224.67/223.33  all A hBOOL(tendsto_complex_real(re,hAPP_complex_real(re,A),at_complex(A))).
% 224.67/223.33  all A hBOOL(tendsto_complex_real(im,hAPP_complex_real(im,A),at_complex(A))).
% 224.67/223.33  all A hBOOL(tendst1507391555omplex(cnj,hAPP_complex_complex(cnj,A),at_complex(A))).
% 224.67/223.33  all L U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,U)),L)).
% 224.67/223.33  all L U (hAPP_i1948725293t_bool(ord_at641636577an_int(L),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U),one_one_int))=hAPP_i1948725293t_bool(ord_at875362053st_int(L),U)).
% 224.67/223.33  all K_1 F (hAPP_nat_nat(F,zero_zero_nat)=zero_zero_nat->hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,F),hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(suc,zero_zero_nat)),K_1))=hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,F),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),K_1))).
% 224.67/223.33  all L U (hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(ord_at875362053st_int(L),U))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,U),L)),one_one_int))).
% 224.67/223.33  all N Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),Ma))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(fact_fact_nat,Ma)),hAPP_nat_nat(fact_fact_nat,N))=big_co1705425894at_nat(cOMBI_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)),Ma))).
% 224.67/223.33  all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_int_int(fact_fact_int,N)=big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),N))).
% 224.67/223.33  hBOOL(tendsto_real_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,inverse_divide_real),cos)),sin),zero_zero_real,at_real(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,pi),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 224.67/223.33  all F L C (hBOOL(tendsto_real_real(F,L,at_real(C)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,L),zero_zero_real))-> (exists R_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_1))& (all X (X!=C&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),X))),R_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X)),zero_zero_real)))))))).
% 224.67/223.33  all F L C (hBOOL(tendsto_real_real(F,L,at_real(C)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),L))-> (exists R_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_1))& (all X (X!=C&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),X))),R_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(F,X))))))))).
% 224.67/223.33  all F L C (hBOOL(tendsto_real_real(F,L,at_real(C)))-> (L!=zero_zero_real-> (exists R_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_1))& (all X (X!=C&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),X))),R_1))->hAPP_real_real(F,X)!=zero_zero_real)))))).
% 224.67/223.33  all Ta A_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ta),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ta),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)))))))).
% 224.67/223.33  all Ta A_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ta),one_one_int)),A_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X),Ta))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)),Ta)))))))).
% 224.67/223.33  all Ta B_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ta),one_one_int)),B_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ta),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ta),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1))))))))).
% 224.67/223.33  all Ta B_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X),Ta))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1)),Ta))))))).
% 224.67/223.33  all Ta B_1 D_1 (is_int(Ta)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ta),one_one_int)),B_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))))-> (X=Ta->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1)=Ta))))))).
% 224.67/223.33  all Ta A_1 D_1 (is_int(Ta)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Ta),one_one_int)),A_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))))-> (X=Ta->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)=Ta))))))).
% 224.67/223.33  all Ta A_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ta),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ta),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)))))))).
% 224.67/223.33  all Ta B_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Ta))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1)),Ta))))))).
% 224.67/223.33  all Ta A_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ta),A_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Ta))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)),Ta)))))))).
% 224.67/223.33  all Ta B_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ta),B_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ta),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ta),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1))))))))).
% 224.67/223.33  all Ta A_1 D_1 (is_int(Ta)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ta),A_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))))-> (X!=Ta->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)!=Ta))))))).
% 224.67/223.33  all Ta B_1 D_1 (is_int(Ta)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ta),B_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))))-> (X!=Ta->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1)!=Ta))))))).
% 224.67/223.33  all P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((all X K (is_int(X)&is_int(K)-> (hBOOL(hAPP_int_bool(P_1,X))<->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D)))))))-> ((exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1))))<-> (exists X (is_int(X)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))&hBOOL(hAPP_int_bool(P_1,X))))))).
% 224.67/223.34  all Ta A_1 D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Ta)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)),Ta)))))))).
% 224.67/223.34  all Ta B_1 D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Ta)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1)),Ta)))))))).
% 224.67/223.34  all Ta B_1 D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Ta)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1)),Ta)))))))).
% 224.67/223.34  all Ta A_1 D D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),D_1))-> (all X (is_int(X)-> ((all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Ta)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)),Ta)))))))).
% 224.67/223.34  all X_3 ((all R_1 exists N_3 all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_3),N_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_1),hAPP_nat_real(X_3,N_2)))))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),X_3),zero_zero_real,se_quentially))).
% 224.67/223.34  all A_3 X_1 (hAPP_real_real(scaleR_scaleR_real(A_3),X_1)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),X_1)).
% 224.67/223.34  all R_3 X_1 (hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(R_3),X_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(im,X_1))).
% 224.67/223.34  all R_3 X_1 (hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(R_3),X_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(re,X_1))).
% 224.67/223.34  all R_3 A_3 B_2 (hAPP_complex_complex(scaleR1652505878omplex(R_3),hAPP_real_complex(hAPP_r265291036omplex(complex,A_3),B_2))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),A_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),B_2))).
% 224.67/223.34  all R_3 X_1 (hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(R_3),X_1))=hAPP_real_real(scaleR_scaleR_real(R_3),hAPP_complex_real(re,X_1))).
% 224.67/223.34  all R_3 X_1 (hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(R_3),X_1))=hAPP_real_real(scaleR_scaleR_real(R_3),hAPP_complex_real(im,X_1))).
% 224.67/223.34  all R_3 X_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(scaleR1652505878omplex(R_3),X_1))=hAPP_complex_complex(scaleR1652505878omplex(R_3),hAPP_complex_complex(cnj,X_1))).
% 224.67/223.34  all X_1 (hAPP_complex_complex(sgn_sgn_complex,X_1)=hAPP_complex_complex(scaleR1652505878omplex(hAPP_real_real(inverse_inverse_real,hAPP_complex_real(norm_norm_complex,X_1))),X_1)).
% 224.67/223.34  all R_3 X_1 (hAPP_complex_complex(scaleR1652505878omplex(R_3),X_1)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(re,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_3),hAPP_complex_real(im,X_1)))).
% 224.67/223.34  -hBOOL(trivial_limit_nat(se_quentially)).
% 224.67/223.34  pred_nat=collec1979865426at_nat(produc1922581855t_bool(hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,hAPP_f229349961t_bool(cOMBC_nat_nat_bool,fe_qual_nat)),suc))).
% 224.67/223.34  all A_3 B_2 (is_int(A_3)&is_int(B_2)-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2)!=zero_zero_int-> (exists A_4 B_3 (is_int(A_4)&is_int(B_3)&A_3=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_4),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2))&B_2=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_3),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_3),B_2))&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_4),B_3)=one_one_int)))).
% 224.67/223.34  all N V (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),zero_zero_nat),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))))).
% 224.67/223.34  all V N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),zero_zero_nat),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)))).
% 224.67/223.34  all M I N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),I)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),I))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M),N_1)),I)).
% 224.67/223.34  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N_1),zero_zero_nat)=zero_zero_nat).
% 224.67/223.34  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,zero_zero_nat),N_1)=zero_zero_nat).
% 224.67/223.34  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M),N_1))).
% 224.67/223.34  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Ma),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,ord_min_nat),N))),Ma)).
% 224.67/223.34  all N Ma (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,N)),Ma)=hAPP_nat_nat(nat_case_nat(zero_zero_nat,hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(ord_min_nat,N))),Ma)).
% 224.67/223.34  all Y_3 X_3 ((exists A_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_2))& (all N_2 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),A_2)))))-> (hBOOL(vanishes(Y_3))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,times_times_rat),X_3)),Y_3))))).
% 224.67/223.34  all N Ma (hBOOL(hAPP_int_bool(nat_is_nat,Ma))-> (hBOOL(hAPP_int_bool(nat_is_nat,N))->hAPP_i1948725293t_bool(ord_at875362053st_int(Ma),N)=image_nat_int(semiri1621563631at_int,hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_int_nat(nat,Ma)),hAPP_int_nat(nat,N))))).
% 224.67/223.34  all X_2 (hBOOL(hAPP_int_bool(nat_is_nat,X_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_2))).
% 224.67/223.34  all Y_3 X_3 (hBOOL(vanishes(X_3))-> (hBOOL(vanishes(Y_3))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,minus_minus_rat),X_3)),Y_3))))).
% 224.67/223.34  all Y_3 X_3 (hBOOL(vanishes(X_3))-> (hBOOL(vanishes(Y_3))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,plus_plus_rat),X_3)),Y_3))))).
% 224.67/223.34  all C (hBOOL(vanishes(cOMBK_rat_nat(C)))<->C=zero_zero_rat).
% 224.67/223.34  all X_3 (hBOOL(vanishes(X_3))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1082758869at_rat(cOMBB_rat_rat_nat,uminus_uminus_rat),X_3)))).
% 224.67/223.34  all Y_1 X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y_1))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_1),Y_1))))).
% 224.67/223.34  all N_1 X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_1),N_1)))).
% 224.67/223.34  all Y_1 X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y_1))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(div_mod_int(X_1),Y_1))))).
% 224.67/223.34  all Y_1 X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y_1))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X_1),Y_1))))).
% 224.67/223.34  all Y_1 X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y_1))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(nat_tsub(X_1),Y_1))))).
% 224.67/223.34  all X_2 A_1 (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A_1))->hBOOL(hAPP_int_bool(nat_is_nat,X_2)))).
% 224.67/223.34  hBOOL(hAPP_int_bool(nat_is_nat,zero_zero_int)).
% 224.67/223.34  hBOOL(hAPP_int_bool(nat_is_nat,one_one_int)).
% 224.67/223.34  all Y_1 X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y_1))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Y_1))))).
% 224.67/223.34  all Z_1 hBOOL(hAPP_int_bool(nat_is_nat,hAPP_nat_int(semiri1621563631at_int,Z_1))).
% 224.67/223.34  all Y_2 X_2 (hBOOL(hAPP_int_bool(nat_is_nat,X_2))->hBOOL(hAPP_f448129468l_bool(nat_nat_set,hAPP_i1948725293t_bool(ord_at875362053st_int(X_2),Y_2)))).
% 224.67/223.34  hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 224.67/223.34  all Y_1 X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X_1),Y_1))))).
% 224.67/223.34  all X_1 (hBOOL(hAPP_int_bool(nat_is_nat,X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,X_1)))).
% 224.67/223.34  all A_1 X_2 (hBOOL(hAPP_int_bool(nat_is_nat,X_2))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_2),A_1))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_int_nat(nat,X_2)),image_int_nat(nat,A_1)))))).
% 224.67/223.34  hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 224.67/223.34  all X_3 (hBOOL(vanishes(X_3))<-> (all R_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_1))-> (exists K all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_2))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),R_1))))))).
% 224.67/223.34  all R_2 X_3 (hBOOL(vanishes(X_3))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_2))-> (exists K all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_2))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),R_2)))))).
% 224.67/223.34  all X_3 ((all R_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_1))-> (exists K all N_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),N_2))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_3,N_2))),R_1))))))->hBOOL(vanishes(X_3))).
% 224.67/223.34  all Ma X Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcongm(Ma),X),Xa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Xa),Ma))).
% 224.67/223.34  all B_1 P_2 P_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((exists Z all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Z))-> (hBOOL(hAPP_int_bool(P_1,X))<->hBOOL(hAPP_int_bool(P_2,X))))))-> ((all X (is_int(X)-> ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(P_1,X))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),D_1)))))))-> ((all X K (is_int(X)&is_int(K)-> (hBOOL(hAPP_int_bool(P_2,X))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1)))))))-> ((exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1))))<-> (exists X (is_int(X)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))&hBOOL(hAPP_int_bool(P_2,X))))| (exists X (is_int(X)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))& (exists Xa (is_int(Xa)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),B_1))&hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa),X)))))))))))).
% 224.67/223.34  all A_1 B_1 Ma (hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A_1),B_1)),bijR_int_int(zcongm(Ma))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,A_1)),big_co1548731110nt_int(cOMBI_int,B_1)),Ma))).
% 224.67/223.34  all A_1 P_2 P_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((exists Z all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X))-> (hBOOL(hAPP_int_bool(P_1,X))<->hBOOL(hAPP_int_bool(P_2,X))))))-> ((all X (is_int(X)-> ((all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A_1))->X!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa)))))-> (hBOOL(hAPP_int_bool(P_1,X))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),D_1)))))))-> ((all X K (is_int(X)&is_int(K)-> (hBOOL(hAPP_int_bool(P_2,X))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1)))))))-> ((exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1))))<-> (exists X (is_int(X)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))&hBOOL(hAPP_int_bool(P_2,X))))| (exists X (is_int(X)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))& (exists Xa (is_int(Xa)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),A_1))&hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),X)))))))))))).
% 224.67/223.34  all L F ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),hAPP_nat_real(F,hAPP_nat_nat(suc,N_2)))))-> ((all N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_2)),L)))-> ((all E (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E))-> (exists N_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,L),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(F,N_2)),E))))))->hBOOL(tendsto_nat_real(F,L,se_quentially))))).
% 224.67/223.34  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->hBOOL(hAPP_real_bool(isCont_real_real(ln),X_2))).
% 224.67/223.34  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_2))).
% 224.67/223.34  all X_2 (hAPP_real_real(cos,X_2)!=zero_zero_real->hBOOL(hAPP_real_bool(isCont_real_real(tan),X_2))).
% 224.67/223.34  all X_2 hBOOL(hAPP_real_bool(isCont_real_real(cos),X_2)).
% 224.67/223.34  all X_2 hBOOL(hAPP_real_bool(isCont_real_real(arctan),X_2)).
% 224.67/223.34  all X_2 hBOOL(hAPP_real_bool(isCont_real_real(sqrt),X_2)).
% 224.67/223.34  all X_2 hBOOL(hAPP_real_bool(isCont_real_real(sin),X_2)).
% 224.67/223.34  all A hBOOL(hAPP_complex_bool(isCont156215680omplex(cnj),A)).
% 224.67/223.34  all A hBOOL(hAPP_complex_bool(isCont_complex_real(im),A)).
% 224.67/223.34  all A hBOOL(hAPP_complex_bool(isCont_complex_real(re),A)).
% 224.67/223.34  all A hBOOL(hAPP_real_bool(isCont_real_real(abs_abs_real),A)).
% 224.67/223.34  all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),zero_zero_real))).
% 224.67/223.34  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_2))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_2)))).
% 224.67/223.34  all X_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),zero_zero_real))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,N)),X_2)))).
% 224.67/223.34  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),one_one_real))->hBOOL(hAPP_real_bool(isCont_real_real(arccos),X_2)))).
% 224.67/223.34  all X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),one_one_real))->hBOOL(hAPP_real_bool(isCont_real_real(arcsin),X_2)))).
% 224.67/223.34  all F B X_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B),X_2))-> ((all X (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X),hAPP_r1134773055l_bool(ord_gr788844697n_real(B),X_2)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,X)))))-> (hBOOL(hAPP_real_bool(isCont_real_real(F),X_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,X_2)))))).
% 224.67/223.34  all B A F G X_2 D_1 (hBOOL(hAPP_real_bool(deriv_real(F,hAPP_real_real(G,X_2)),D_1))-> (D_1!=zero_zero_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_2),B))-> ((all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),Y))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),B))->hAPP_real_real(F,hAPP_real_real(G,Y))=Y))-> (hBOOL(hAPP_real_bool(isCont_real_real(G),X_2))->hBOOL(hAPP_real_bool(deriv_real(G,X_2),hAPP_real_real(inverse_inverse_real,D_1))))))))).
% 224.67/223.34  all G F X_2 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))->hAPP_real_real(G,hAPP_real_real(F,Z))=Z))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))->hBOOL(hAPP_real_bool(isCont_real_real(G),hAPP_real_real(F,X_2)))))).
% 224.67/223.34  all X_2 F A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))->hBOOL(hAPP_real_bool(isCont_real_real(F),X))))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))->hBOOL(hAPP_real_bool(deriv_real(F,X),zero_zero_real))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_2),B))->hAPP_real_real(F,X_2)=hAPP_real_real(F,A)))))).
% 224.67/223.34  all F A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))->hBOOL(hAPP_real_bool(isCont_real_real(F),X))))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))->hBOOL(hAPP_real_bool(deriv_real(F,X),zero_zero_real))))->hAPP_real_real(F,B)=hAPP_real_real(F,A)))).
% 224.67/223.34  all F A B (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),B))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))->hBOOL(hAPP_real_bool(isCont_real_real(F),X))))-> ((all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B))->hBOOL(hAPP_real_bool(deriv_real(F,X),zero_zero_real))))-> (all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),B))->hAPP_real_real(F,X)=hAPP_real_real(F,A)))))).
% 224.67/223.34  all G F X_2 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))->hAPP_real_real(G,hAPP_real_real(F,Z))=Z))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))-> (exists E (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E))& (all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y),hAPP_real_real(F,X_2)))))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y),hAPP_real_real(F,X_2)))),E))->hAPP_real_real(F,hAPP_real_real(G,Y))=Y))))))).
% 224.67/223.34  all G F X_2 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))->hAPP_real_real(G,hAPP_real_real(F,Z))=Z))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))-> (exists Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Z)),hAPP_real_real(F,X_2)))))))).
% 224.67/223.34  all G F X_2 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))->hAPP_real_real(G,hAPP_real_real(F,Z))=Z))-> ((all Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))-> (exists Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Z),X_2))),D))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_2)),hAPP_real_real(F,Z)))))))).
% 224.67/223.34  all N (hAPP_n1699378549t_bool(ord_atMost_nat,N)=image_int_nat(nat,hAPP_i1948725293t_bool(ord_at875362053st_int(zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N)))).
% 224.67/223.34  all N V (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,N)),hAPP_int_nat(number_number_of_nat,V))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),hAPP_nat_nat(suc,N)),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V))))))).
% 224.67/223.34  all K_1 hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_atMost_nat,K_1))).
% 224.67/223.34  all N (hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),N)=hAPP_n1699378549t_bool(ord_atMost_nat,N)).
% 224.67/223.34  all K_1 (hAPP_n1699378549t_bool(ord_lessThan_nat,hAPP_nat_nat(suc,K_1))=hAPP_n1699378549t_bool(ord_atMost_nat,K_1)).
% 224.67/223.34  all N_1 M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_1),M)),M)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N_1),M)).
% 224.67/223.34  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N_1),zero_zero_nat)=N_1).
% 224.67/223.34  all N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,zero_zero_nat),N_1)=N_1).
% 224.67/223.34  all M N_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N_1))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M),N_1))).
% 224.67/223.34  all U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_atMost_nat,U))=hAPP_nat_nat(suc,U)).
% 224.67/223.34  all N Ma (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,N)),Ma)=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(ord_max_nat,N))),Ma)).
% 224.67/223.34  all Ma N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Ma),hAPP_nat_nat(suc,N))=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,N),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,ord_max_nat),N))),Ma)).
% 224.67/223.34  all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (exists K hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_atMost_nat,K))))).
% 224.67/223.34  all V N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_int_nat(number_number_of_nat,V)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),hAPP_nat_nat(suc,N)),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,V)))),N)))).
% 224.67/223.34  all P (-hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P)).
% 224.67/223.34  all P (hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P))).
% 224.67/223.34  hBOOL(fTrue).
% 224.67/223.34  all P (is_bool(P)->P=fTrue|P=fFalse).
% 224.67/223.34  all Q P (-hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))).
% 224.67/223.34  all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P)).
% 224.67/223.34  all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q)).
% 224.67/223.34  all Q P (-hBOOL(P)|hBOOL(fdisj(P,Q))).
% 224.67/223.34  all P Q (-hBOOL(Q)|hBOOL(fdisj(P,Q))).
% 224.67/223.34  all P Q (-hBOOL(fdisj(P,Q))|hBOOL(P)|hBOOL(Q)).
% 224.67/223.34  -hBOOL(fFalse).
% 224.67/223.34  all P (is_bool(P)->P=fTrue|P=fFalse).
% 224.67/223.34  all Q P (hBOOL(P)|hBOOL(hAPP_bool_bool(fimplies(P),Q))).
% 224.67/223.34  all P Q (-hBOOL(Q)|hBOOL(hAPP_bool_bool(fimplies(P),Q))).
% 224.67/223.34  all P Q (-hBOOL(hAPP_bool_bool(fimplies(P),Q))| -hBOOL(P)|hBOOL(Q)).
% 224.67/223.34  all X_1 Y_1 (is_int(X_1)->hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,fTrue),X_1),Y_1)=X_1).
% 224.67/223.34  all X_1 Y_1 (is_int(Y_1)->hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,fFalse),X_1),Y_1)=Y_1).
% 224.67/223.34  all P (is_bool(P)->P=fTrue|P=fFalse).
% 224.67/223.34  all X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,fTrue),X_1),Y_1)=X_1).
% 224.67/223.34  all X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,fFalse),X_1),Y_1)=Y_1).
% 224.67/223.34  all P (is_bool(P)->P=fTrue|P=fFalse).
% 224.67/223.34  all P X_1 (-hBOOL(hAPP_int_bool(P,X_1))|hBOOL(hAPP_f448129468l_bool(fEx_int,P))).
% 224.67/223.34  all P X_1 (-hBOOL(hAPP_nat_bool(P,X_1))|hBOOL(hAPP_f54304608l_bool(fEx_nat,P))).
% 224.67/223.34  all P (is_int(P)->hAPP_int_int(cOMBI_int,P)=P).
% 224.67/223.34  all P (hAPP_nat_nat(cOMBI_nat,P)=P).
% 224.67/223.34  all X_1 Y_1 (is_int(X_1)&is_int(Y_1)-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X_1),Y_1))|X_1=Y_1).
% 224.67/223.34  all X_1 Y_1 (X_1!=Y_1|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X_1),Y_1))).
% 224.67/223.34  all X_1 Y_1 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X_1),Y_1))|X_1=Y_1).
% 224.67/223.34  all X_1 Y_1 (X_1!=Y_1|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X_1),Y_1))).
% 224.67/223.34  all X_1 Y_1 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(fe_qual_rat,X_1),Y_1))|X_1=Y_1).
% 224.67/223.34  all X_1 Y_1 (X_1!=Y_1|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(fe_qual_rat,X_1),Y_1))).
% 224.67/223.34  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,fTrue),X_1),Y_1)=X_1).
% 224.67/223.34  all X_1 Y_1 (hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,fFalse),X_1),Y_1)=Y_1).
% 224.67/223.34  all P (is_bool(P)->P=fTrue|P=fFalse).
% 224.67/223.34  all P (hAPP_real_real(cOMBI_real,P)=P).
% 224.67/223.34  all X_1 Y_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(fe_qual_real,X_1),Y_1))|X_1=Y_1).
% 224.67/223.34  all X_1 Y_1 (X_1!=Y_1|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(fe_qual_real,X_1),Y_1))).
% 224.67/223.34  all P Q (hAPP_nat_rat(cOMBK_rat_nat(P),Q)=P).
% 224.67/223.34  all P Q (is_bool(P)->hAPP_nat_bool(cOMBK_bool_nat(P),Q)=P).
% 224.67/223.34  all X_1 Y_1 (hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fTrue),X_1),Y_1)=X_1).
% 224.67/223.34  all X_1 Y_1 (hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fFalse),X_1),Y_1)=Y_1).
% 224.67/223.34  all P (is_bool(P)->P=fTrue|P=fFalse).
% 224.67/223.34  all P Q R (hAPP_int_int(hAPP_f1356864277nt_int(hAPP_f747162069nt_int(cOMBB_int_int_int,P),Q),R)=hAPP_int_int(P,hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_int(hAPP_f1139079189at_int(hAPP_f1431025877at_int(cOMBB_int_int_nat,P),Q),R)=hAPP_int_int(P,hAPP_nat_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_rat(hAPP_f1900950721nt_rat(hAPP_f1270196437nt_rat(cOMBB_int_rat_int,P),Q),R)=hAPP_int_rat(P,hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_nat(hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,P),Q),R)=hAPP_nat_nat(P,hAPP_nat_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_rat(hAPP_f2062659861at_rat(hAPP_f1082758869at_rat(cOMBB_rat_rat_nat,P),Q),R)=hAPP_rat_rat(P,hAPP_nat_rat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,P),Q),R)=hAPP_int_int(hAPP_int_fun_int_int(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_int_int(hAPP_nat_fun_int_int(hAPP_f2105620693nt_int(cOMBC_int_nat_int,P),Q),R)=hAPP_nat_int(hAPP_int_fun_nat_int(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_nat_int(hAPP_int_fun_nat_int(hAPP_f1673103573at_int(cOMBC_nat_int_int,P),Q),R)=hAPP_int_int(hAPP_nat_fun_int_int(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,P),Q),R)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_nat_nat(hAPP_f1914919701at_nat(hAPP_f1408247010at_nat(cOMBS_nat_nat_nat,P),Q),R)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(P,R),hAPP_nat_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_rat(hAPP_f2062659861at_rat(hAPP_f1131305186at_rat(cOMBS_nat_rat_rat,P),Q),R)=hAPP_rat_rat(hAPP_nat_fun_rat_rat(P,R),hAPP_nat_rat(Q,R))).
% 224.67/223.34  all X_1 Y_1 (hAPP_P1860904029l_real(hAPP_P1982799375l_real(hAPP_b1482221219l_real(if_Pro313124157l_real,fTrue),X_1),Y_1)=X_1).
% 224.67/223.34  all X_1 Y_1 (hAPP_P1860904029l_real(hAPP_P1982799375l_real(hAPP_b1482221219l_real(if_Pro313124157l_real,fFalse),X_1),Y_1)=Y_1).
% 224.67/223.34  all P (is_bool(P)->P=fTrue|P=fFalse).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f429935748t_bool(hAPP_f1512942609t_bool(cOMBB_int_bool_int,P),Q),R)=hAPP_int_bool(P,hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_bool(hAPP_f1154658180t_bool(hAPP_f1361476881t_bool(cOMBB_int_bool_nat,P),Q),R)=hAPP_int_bool(P,hAPP_nat_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f1448486952t_bool(hAPP_f696844121t_bool(cOMBB_nat_bool_int,P),Q),R)=hAPP_nat_bool(P,hAPP_int_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f1241350704t_bool(hAPP_f1131424617t_bool(cOMBB_rat_bool_int,P),Q),R)=hAPP_rat_bool(P,hAPP_int_rat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,P),Q),R)=hAPP_int_bool(hAPP_i1948725293t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_r1900510169t_bool(hAPP_f1480506641t_bool(cOMBC_int_rat_bool,P),Q),R)=hAPP_rat_bool(hAPP_i16292313t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_nat_bool(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,P),Q),R)=hAPP_nat_bool(hAPP_n1699378549t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f1805168059t_bool(hAPP_f627970963t_bool(cOMBB_bool_bool_int,P),Q),R)=hAPP_bool_bool(P,hAPP_int_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f894608603t_bool(cOMBB_bool_bool_nat,P),Q),R)=hAPP_bool_bool(P,hAPP_nat_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f1805168059t_bool(hAPP_f727283836t_bool(cOMBS_int_bool_bool,P),Q),R)=hAPP_bool_bool(hAPP_i68813070l_bool(P,R),hAPP_int_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f561022312t_bool(cOMBS_nat_bool_bool,P),Q),R)=hAPP_bool_bool(hAPP_n1006566506l_bool(P,R),hAPP_nat_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_real(hAPP_f563293398t_real(hAPP_f134192053t_real(cOMBB_int_real_int,P),Q),R)=hAPP_int_real(P,hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_real(hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,P),Q),R)=hAPP_nat_real(P,hAPP_nat_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f429384717t_bool(hAPP_f1173902867t_bool(cOMBB_real_bool_int,P),Q),R)=hAPP_real_bool(P,hAPP_int_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_bool(hAPP_f737665877t_bool(hAPP_f605995867t_bool(cOMBB_real_bool_nat,P),Q),R)=hAPP_real_bool(P,hAPP_nat_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_r481142414t_bool(hAPP_f1845081853t_bool(cOMBC_int_real_bool,P),Q),R)=hAPP_real_bool(hAPP_i688218208l_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_real_bool(hAPP_f1861673493l_bool(hAPP_f1010710745l_bool(cOMBS_real_bool_bool,P),Q),R)=hAPP_bool_bool(hAPP_r1938957037l_bool(P,R),hAPP_real_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_real(hAPP_f269654879t_real(hAPP_f766218899t_real(cOMBB_real_real_int,P),Q),R)=hAPP_real_real(P,hAPP_int_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,P),Q),R)=hAPP_real_real(P,hAPP_nat_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_real(hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,P),Q),R)=hAPP_real_real(hAPP_n546711566l_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_real_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,P),Q),R)=hAPP_nat_real(hAPP_r474017924t_real(P,R),Q)).
% 224.67/223.34  all P Q (hAPP_f957591787ol_nat(cOMBK_1643584600t_bool(P),Q)=P).
% 224.67/223.34  all P Q R (hAPP_nat_real(hAPP_f1888375463t_real(hAPP_f197615720t_real(cOMBS_nat_real_real,P),Q),R)=hAPP_real_real(hAPP_n546711566l_real(P,R),hAPP_nat_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_real_bool(hAPP_f1402056515l_bool(hAPP_f824790735l_bool(cOMBB_real_bool_real,P),Q),R)=hAPP_real_bool(P,hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_real_bool(hAPP_r1134773055l_bool(hAPP_f695504873l_bool(cOMBC_real_real_bool,P),Q),R)=hAPP_real_bool(hAPP_r1134773055l_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,P),Q),R)=hAPP_complex_real(P,hAPP_nat_complex(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_complex(hAPP_f219720582omplex(hAPP_f1052840010omplex(cOMBS_696648398omplex,P),Q),R)=hAPP_real_complex(hAPP_n1983812447omplex(P,R),hAPP_nat_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_real_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,P),Q),R)=hAPP_real_real(P,hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_real_real(hAPP_r1250527377l_real(hAPP_f203520653l_real(cOMBC_real_real_real,P),Q),R)=hAPP_real_real(hAPP_r1250527377l_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_real_real(hAPP_f1950183573l_real(hAPP_f2069516469l_real(cOMBS_real_real_real,P),Q),R)=hAPP_real_real(hAPP_r1250527377l_real(P,R),hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,P),Q),R)=hAPP_complex_complex(P,hAPP_nat_complex(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_fun_int_int(hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,P),Q),R)=hAPP_int_fun_int_int(P,hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_fun_int_int(hAPP_f1935805932nt_int(hAPP_f125788821nt_int(cOMBB_859312247nt_nat,P),Q),R)=hAPP_int_fun_int_int(P,hAPP_nat_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_fun_nat_nat(hAPP_f1639111240at_nat(hAPP_f1731313045at_nat(cOMBB_963856155at_nat,P),Q),R)=hAPP_nat_fun_nat_nat(P,hAPP_nat_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_fun_rat_rat(hAPP_f1830834240at_rat(hAPP_f1073644437at_rat(cOMBB_1926947at_nat,P),Q),R)=hAPP_rat_fun_rat_rat(P,hAPP_nat_rat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P1175774780nt_int(hAPP_f521271395nt_int(hAPP_f11151005nt_int(cOMBB_47643171nt_int,P),Q),R)=hAPP_int_int(P,hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1948725293t_bool(hAPP_f1791153283t_bool(hAPP_f1399575567t_bool(cOMBB_118231410ol_int,P),Q),R)=hAPP_i1948725293t_bool(P,hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1524277240nt_int(hAPP_f883232462nt_int(hAPP_f2002277285nt_int(cOMBB_1846624359nt_int,P),Q),R)=hAPP_i1524277240nt_int(P,hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n1699378549t_bool(hAPP_f618557131t_bool(hAPP_f1505651103t_bool(cOMBB_800536526ol_nat,P),Q),R)=hAPP_n1699378549t_bool(P,hAPP_nat_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i16292313t_bool(hAPP_f601898971t_bool(hAPP_f857296063t_bool(cOMBB_214503962ol_int,P),Q),R)=hAPP_r2115560837t_bool(P,hAPP_int_rat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1948725293t_bool(hAPP_i345030060t_bool(hAPP_f791698359t_bool(cOMBC_241247961t_bool,P),Q),R)=hAPP_i1948725293t_bool(hAPP_i345030060t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(hAPP_f465821005nt_int(cOMBC_1964283556nt_int,P),Q),R)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_P1175774780nt_int(hAPP_i61245889nt_int(hAPP_f578362681nt_int(cOMBC_1417754532nt_int,P),Q),R)=hAPP_int_int(hAPP_P2110489235nt_int(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_P1175774780nt_int(hAPP_f521271395nt_int(hAPP_f1914742907nt_int(cOMBS_2019229620nt_int,P),Q),R)=hAPP_int_int(hAPP_P2110489235nt_int(P,R),hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P1853363688nt_rat(hAPP_f1065357839nt_rat(hAPP_f1120137083nt_rat(cOMBS_549334880nt_rat,P),Q),R)=hAPP_int_rat(hAPP_P507092031nt_rat(P,R),hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P603027463t_bool(hAPP_f892584630t_bool(hAPP_f492612297t_bool(cOMBB_798864284nt_int,P),Q),R)=hAPP_int_bool(P,hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P603027463t_bool(hAPP_f1084724746t_bool(hAPP_f374502857t_bool(cOMBB_569260360nt_int,P),Q),R)=hAPP_rat_bool(P,hAPP_P1853363688nt_rat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f2119767738t_bool(hAPP_f423804115t_bool(cOMBB_1418110531ol_int,P),Q),R)=hAPP_f448129468l_bool(P,hAPP_i1948725293t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f41603166t_bool(hAPP_f389116883t_bool(cOMBB_1593174431ol_int,P),Q),R)=hAPP_f54304608l_bool(P,hAPP_i418383825t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_bool(hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,P),Q),R)=hAPP_f448129468l_bool(hAPP_i2112223885l_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_nat_bool(hAPP_f800510211t_bool(hAPP_f1722879237t_bool(cOMBC_226598744l_bool,P),Q),R)=hAPP_f54304608l_bool(hAPP_n215258509l_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_P603027463t_bool(hAPP_i119638232t_bool(hAPP_f2018027565t_bool(cOMBC_33652895t_bool,P),Q),R)=hAPP_int_bool(hAPP_P252494982t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_P603027463t_bool(hAPP_f892584630t_bool(hAPP_f1325804733t_bool(cOMBS_480885903t_bool,P),Q),R)=hAPP_int_bool(hAPP_P252494982t_bool(P,R),hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P603027463t_bool(hAPP_f237669397t_bool(hAPP_f513299955t_bool(cOMBB_1344650379nt_int,P),Q),R)=hAPP_bool_bool(P,hAPP_P603027463t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i68813070l_bool(hAPP_f2144054103l_bool(hAPP_f1734373249l_bool(cOMBB_1652995168ol_int,P),Q),R)=hAPP_b589554111l_bool(P,hAPP_int_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n1006566506l_bool(hAPP_f1146629647l_bool(hAPP_f1080886329l_bool(cOMBB_1015721476ol_nat,P),Q),R)=hAPP_b589554111l_bool(P,hAPP_nat_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P603027463t_bool(hAPP_f237669397t_bool(hAPP_f461489489t_bool(cOMBS_400904860l_bool,P),Q),R)=hAPP_bool_bool(hAPP_P921862901l_bool(P,R),hAPP_P603027463t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_real(hAPP_f292751352t_real(hAPP_f1607377819t_real(cOMBB_1533963633al_nat,P),Q),R)=hAPP_f1406902706l_real(P,hAPP_n1699378549t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_real_bool(hAPP_f101635158l_bool(hAPP_f1925507189l_bool(cOMBB_1121934354l_real,P),Q),R)=hAPP_f448129468l_bool(P,hAPP_r481142414t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r1938957037l_bool(hAPP_f60716669l_bool(hAPP_f1485493409l_bool(cOMBB_624415285l_real,P),Q),R)=hAPP_b589554111l_bool(P,hAPP_real_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n546711566l_real(hAPP_f1904307534l_real(hAPP_f224989205l_real(cOMBB_1419615765al_nat,P),Q),R)=hAPP_n546711566l_real(P,hAPP_nat_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i688218208l_bool(hAPP_f801032407l_bool(hAPP_f499530369l_bool(cOMBB_1317819104ol_int,P),Q),R)=hAPP_r1134773055l_bool(P,hAPP_int_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_real_real(hAPP_f2119584768l_real(hAPP_f59594445l_real(cOMBC_2010481033l_real,P),Q),R)=hAPP_f1406902706l_real(hAPP_r1409264866l_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r474017924t_real(hAPP_f1407095736t_real(hAPP_f1796904975t_real(cOMBB_599996122l_real,P),Q),R)=hAPP_r474017924t_real(P,hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i371647666l_real(hAPP_f1352333353l_real(hAPP_f318350629l_real(cOMBB_1946221070al_int,P),Q),R)=hAPP_r1250527377l_real(P,hAPP_int_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n546711566l_real(hAPP_f451358433l_real(hAPP_f1092742621l_real(cOMBB_1308947378al_nat,P),Q),R)=hAPP_r1250527377l_real(P,hAPP_nat_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_real_real(hAPP_f1122023986l_real(hAPP_f1786887945l_real(cOMBB_1896127834l_real,P),Q),R)=hAPP_f352196356l_real(P,hAPP_r474017924t_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n546711566l_real(hAPP_r195310020l_real(hAPP_f2126667875l_real(cOMBC_746811033l_real,P),Q),R)=hAPP_r1250527377l_real(hAPP_n682674106l_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_n546711566l_real(hAPP_f451358433l_real(hAPP_f335634176l_real(cOMBS_337378985l_real,P),Q),R)=hAPP_r1250527377l_real(hAPP_n682674106l_real(P,R),hAPP_nat_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r1134773055l_bool(hAPP_f1393328161l_bool(hAPP_f1900646853l_bool(cOMBB_430461877l_real,P),Q),R)=hAPP_r1134773055l_bool(P,hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,P),Q),R)=hAPP_P731461727l_real(P,hAPP_n332733730l_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_real_bool(hAPP_f330985925l_bool(hAPP_f940061907l_bool(cOMBB_1795223523l_real,P),Q),R)=hAPP_P1333854989l_bool(P,hAPP_r1195171167l_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n1983812447omplex(hAPP_f23851874omplex(hAPP_f406530075omplex(cOMBB_1714920583ex_nat,P),Q),R)=hAPP_r265291036omplex(P,hAPP_nat_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r1250527377l_real(hAPP_f556082547l_real(hAPP_f1960414057l_real(cOMBB_882763271l_real,P),Q),R)=hAPP_r1250527377l_real(P,hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r1250527377l_real(hAPP_r337325687l_real(hAPP_f1644353557l_real(cOMBC_1508019322l_real,P),Q),R)=hAPP_r1250527377l_real(hAPP_r337325687l_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r1195171167l_real(hAPP_f617735571l_real(hAPP_f800361423l_real(cOMBB_2107848501l_real,P),Q),R)=hAPP_r1195171167l_real(P,hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r1195171167l_real(hAPP_f617735571l_real(hAPP_f1730463541l_real(cOMBS_511527878l_real,P),Q),R)=hAPP_r1195171167l_real(hAPP_r2019696015l_real(P,R),hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_int_fun_int_int(hAPP_f1760145644nt_int(hAPP_f808647893nt_int(cOMBC_736024425nt_int,P),Q),R)=hAPP_f1356864277nt_int(hAPP_i744251628nt_int(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_P2110489235nt_int(hAPP_f1855025978nt_int(hAPP_f1038672605nt_int(cOMBB_1506897658nt_int,P),Q),R)=hAPP_int_fun_int_int(P,hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P507092031nt_rat(hAPP_f1547007718nt_rat(hAPP_f382317021nt_rat(cOMBB_170828966nt_int,P),Q),R)=hAPP_int_fun_int_rat(P,hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1584592887nt_int(hAPP_f1574055885nt_int(hAPP_f2054677283nt_int(cOMBB_782625832nt_int,P),Q),R)=hAPP_i1584592887nt_int(P,hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n1865633855at_nat(hAPP_f837737749at_nat(hAPP_f999082675at_nat(cOMBB_348438404at_nat,P),Q),R)=hAPP_n1865633855at_nat(P,hAPP_nat_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1948725293t_bool(hAPP_f720654810t_bool(hAPP_f908327869t_bool(cOMBB_1290694363ol_int,P),Q),R)=hAPP_f429935748t_bool(P,hAPP_int_fun_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1948725293t_bool(hAPP_f1791153283t_bool(hAPP_f735247205t_bool(cOMBC_983868720t_bool,P),Q),R)=hAPP_f429935748t_bool(hAPP_i872162435t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_i1584592887nt_int(hAPP_f1574055885nt_int(hAPP_f434654626nt_int(cOMBS_2011279539nt_int,P),Q),R)=hAPP_i1584592887nt_int(hAPP_i1778081398nt_int(P,R),hAPP_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P252494982t_bool(hAPP_f291087797t_bool(hAPP_f214467655t_bool(cOMBB_182850971nt_int,P),Q),R)=hAPP_i1948725293t_bool(P,hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n215258509l_bool(hAPP_f66927821l_bool(hAPP_f2037783381l_bool(cOMBB_1146692694ol_nat,P),Q),R)=hAPP_n215258509l_bool(P,hAPP_nat_nat(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1948725293t_bool(hAPP_f428220345t_bool(hAPP_f654702867t_bool(cOMBB_591320580ol_int,P),Q),R)=hAPP_f1805168059t_bool(P,hAPP_i1948725293t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1524277240nt_int(hAPP_f1735705551nt_int(hAPP_f151095827nt_int(cOMBB_1389251822nt_int,P),Q),R)=hAPP_P1975530577nt_int(P,hAPP_i1524277240nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1948725293t_bool(hAPP_f1048215610t_bool(hAPP_f472159229t_bool(cOMBC_1683390479t_bool,P),Q),R)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_i418383825t_bool(hAPP_f289318786t_bool(hAPP_f729588221t_bool(cOMBC_678732631t_bool,P),Q),R)=hAPP_f800510211t_bool(hAPP_i1796122964t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_i1948725293t_bool(hAPP_f428220345t_bool(hAPP_f1878066172t_bool(cOMBS_1720984575t_bool,P),Q),R)=hAPP_f1805168059t_bool(hAPP_i1529485324t_bool(P,R),hAPP_i1948725293t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1524277240nt_int(hAPP_f1735705551nt_int(hAPP_f713949180nt_int(cOMBS_1891347093nt_int,P),Q),R)=hAPP_P1975530577nt_int(hAPP_i1216375074nt_int(P,R),hAPP_i1524277240nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P921862901l_bool(hAPP_f365317245l_bool(hAPP_f1961001761l_bool(cOMBB_1550063917nt_int,P),Q),R)=hAPP_b589554111l_bool(P,hAPP_P603027463t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1948725293t_bool(hAPP_f351634443t_bool(hAPP_f1576199059t_bool(cOMBB_95956018ol_int,P),Q),R)=hAPP_f429384717t_bool(P,hAPP_i627165055t_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i418383825t_bool(hAPP_f1222178131t_bool(hAPP_f743790483t_bool(cOMBB_1647910634ol_int,P),Q),R)=hAPP_f737665877t_bool(P,hAPP_i157317923t_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i627165055t_real(hAPP_f1323932638t_real(hAPP_f352226557t_real(cOMBC_824100275t_real,P),Q),R)=hAPP_f269654879t_real(hAPP_i1671359920t_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_i157317923t_real(hAPP_f1613846310t_real(hAPP_f1720068861t_real(cOMBC_295337211t_real,P),Q),R)=hAPP_f1888375463t_real(hAPP_i447943416t_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r474017924t_real(hAPP_f1501741374t_real(hAPP_f1135648319t_real(cOMBC_1329014627t_real,P),Q),R)=hAPP_f1676298106t_real(hAPP_r50993370t_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r474017924t_real(hAPP_f1993765077t_real(hAPP_f895854793t_real(cOMBB_1948233853l_real,P),Q),R)=hAPP_f1888375463t_real(P,hAPP_r474017924t_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_n682674106l_real(hAPP_f1129044203l_real(hAPP_f264196187l_real(cOMBB_1480366270al_nat,P),Q),R)=hAPP_b646336293l_real(P,hAPP_nat_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r2019696015l_real(hAPP_f1591894897l_real(hAPP_f2114902373l_real(cOMBB_237479429l_real,P),Q),R)=hAPP_r2019696015l_real(P,hAPP_real_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i345030060t_bool(hAPP_f725770969t_bool(hAPP_f983569339t_bool(cOMBB_550562460ol_int,P),Q),R)=hAPP_f1791153283t_bool(P,hAPP_int_fun_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1584592887nt_int(hAPP_f1574055885nt_int(hAPP_f960630521nt_int(cOMBC_1805044090nt_int,P),Q),R)=hAPP_f883232462nt_int(hAPP_i998473677nt_int(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r1195171167l_real(hAPP_f1736103445l_real(hAPP_f1908301369l_real(cOMBS_902912708l_real,P),Q),R)=hAPP_P1860904029l_real(hAPP_r938550413l_real(P,R),hAPP_r1195171167l_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_P1668131738nt_int(hAPP_f167782601nt_int(hAPP_f400538607nt_int(cOMBB_866192175nt_int,P),Q),R)=hAPP_i61245889nt_int(P,hAPP_P1175774780nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1823918693l_bool(hAPP_f1344929775l_bool(hAPP_f1830214065l_bool(cOMBB_793166024ol_int,P),Q),R)=hAPP_f2144054103l_bool(P,hAPP_i1948725293t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i614188481l_bool(hAPP_f252743847l_bool(hAPP_f643658017l_bool(cOMBB_2046938128ol_int,P),Q),R)=hAPP_f1146629647l_bool(P,hAPP_i418383825t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r481142414t_bool(hAPP_f1625314454t_bool(hAPP_f340152631t_bool(cOMBB_1453147152l_real,P),Q),R)=hAPP_f2119767738t_bool(P,hAPP_r632163725t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r481142414t_bool(hAPP_f1341793266t_bool(hAPP_f571820015t_bool(cOMBB_1159313332l_real,P),Q),R)=hAPP_f41603166t_bool(P,hAPP_r373117745t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r632163725t_bool(hAPP_f1832844496t_bool(hAPP_f1990636069t_bool(cOMBC_412863505t_bool,P),Q),R)=hAPP_f1048215610t_bool(hAPP_r1623423338t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r373117745t_bool(hAPP_f1115375056t_bool(hAPP_f271976045t_bool(cOMBC_1801450329t_bool,P),Q),R)=hAPP_f289318786t_bool(hAPP_r653725362t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r1409264866l_real(hAPP_f1523861863l_real(hAPP_f1067681227l_real(cOMBB_1934313333l_real,P),Q),R)=hAPP_f1509287679l_real(P,hAPP_r474017924t_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i744251628nt_int(hAPP_f836602773nt_int(hAPP_f888249301nt_int(cOMBB_1875755114nt_int,P),Q),R)=hAPP_f747162069nt_int(P,hAPP_int_fun_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1778081398nt_int(hAPP_f2004554147nt_int(hAPP_f1228585167nt_int(cOMBB_1102189010nt_int,P),Q),R)=hAPP_f1574055885nt_int(P,hAPP_int_fun_int_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r1134773055l_bool(hAPP_f1884005689l_bool(hAPP_f172451459l_bool(cOMBB_421479067l_real,P),Q),R)=hAPP_f330985925l_bool(P,hAPP_r2019696015l_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i872162435t_bool(hAPP_f1251097615t_bool(hAPP_f1475822739t_bool(cOMBB_2027861294ol_int,P),Q),R)=hAPP_f1512942609t_bool(P,hAPP_i1948725293t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i345030060t_bool(hAPP_f791698359t_bool(hAPP_f847817363t_bool(cOMBB_562416518ol_int,P),Q),R)=hAPP_f428220345t_bool(P,hAPP_i345030060t_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1584592887nt_int(hAPP_f465821005nt_int(hAPP_f1081447804nt_int(cOMBS_1470252563nt_int,P),Q),R)=hAPP_f1735705551nt_int(hAPP_i1836591008nt_int(P,R),hAPP_i1584592887nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1216375074nt_int(hAPP_P621635040nt_int(hAPP_f1582586579nt_int(cOMBC_707974837nt_int,P),Q),R)=hAPP_P1145851913nt_int(hAPP_i2104874254nt_int(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_i1216375074nt_int(hAPP_f1375227553nt_int(hAPP_f1311564564nt_int(cOMBS_1640193733nt_int,P),Q),R)=hAPP_P1145851913nt_int(hAPP_i2104874254nt_int(P,R),hAPP_i1524277240nt_int(Q,R))).
% 224.67/223.34  all P Q R (hAPP_i1529485324t_bool(hAPP_f1315737299t_bool(hAPP_f538565589t_bool(cOMBB_1211207212ol_int,P),Q),R)=hAPP_f627970963t_bool(P,hAPP_i68813070l_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r337325687l_real(hAPP_f1732848529l_real(hAPP_f1310479593l_real(cOMBB_2092576745l_real,P),Q),R)=hAPP_f556082547l_real(P,hAPP_r1250527377l_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r2019696015l_real(hAPP_f1591894897l_real(hAPP_f644105375l_real(cOMBC_467724138l_real,P),Q),R)=hAPP_f617735571l_real(hAPP_r712953929l_real(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r2019696015l_real(hAPP_f320596107l_real(hAPP_f850851693l_real(cOMBS_193881978l_real,P),Q),R)=hAPP_f617735571l_real(hAPP_r712953929l_real(P,R),hAPP_r1250527377l_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r632163725t_bool(hAPP_f956464319t_bool(hAPP_f422375781t_bool(cOMBC_243356514t_bool,P),Q),R)=hAPP_f351634443t_bool(hAPP_r1392521531t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r373117745t_bool(hAPP_f1459420095t_bool(hAPP_f693283245t_bool(cOMBC_1113900202t_bool,P),Q),R)=hAPP_f1222178131t_bool(hAPP_r2052264067t_bool(P,R),Q)).
% 224.67/223.34  all P Q R (hAPP_r50993370t_real(hAPP_f1163894827t_real(hAPP_f1998755145t_real(cOMBB_421464275l_real,P),Q),R)=hAPP_f1566856189t_real(P,hAPP_r474017924t_real(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r847664445t_bool(hAPP_f1920544743t_bool(hAPP_f866672739t_bool(cOMBB_1247074793l_real,P),Q),R)=hAPP_f1173902867t_bool(P,hAPP_r1134773055l_bool(Q,R))).
% 224.67/223.34  all P Q R (hAPP_r279757445t_bool(hAPP_f1840085295t_bool(hAPP_f1083049571t_bool(cOMBB_2050079537l_real,P),Q),R)=hAPP_f605995867t_bool(P,hAPP_r1134773055l_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i1671359920t_real(hAPP_f74147283t_real(hAPP_f1169087445t_real(cOMBB_2129825580al_int,P),Q),R)=hAPP_f766218899t_real(P,hAPP_i371647666l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i447943416t_real(hAPP_f1295083291t_real(hAPP_f212164053t_real(cOMBB_929094628al_int,P),Q),R)=hAPP_f1690286043t_real(P,hAPP_i371647666l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i1153444985nt_int(hAPP_f1148171384nt_int(hAPP_f334321603nt_int(cOMBB_1484610687nt_int,P),Q),R)=hAPP_P621635040nt_int(P,hAPP_i1524277240nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_P1668131738nt_int(hAPP_f167782601nt_int(hAPP_f1769710159nt_int(cOMBC_2037038898nt_int,P),Q),R)=hAPP_f521271395nt_int(hAPP_P752050971nt_int(P,R),Q)).
% 225.30/223.95  all P Q R (hAPP_i2104874254nt_int(hAPP_f251264923nt_int(hAPP_f279307923nt_int(cOMBB_662120866nt_int,P),Q),R)=hAPP_b40753821nt_int(P,hAPP_int_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i1529485324t_bool(hAPP_f1545556668t_bool(hAPP_f85237525t_bool(cOMBB_389152643ol_int,P),Q),R)=hAPP_f727283836t_bool(P,hAPP_i1823918693l_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i1796122964t_bool(hAPP_f1902329768t_bool(hAPP_f1182713365t_bool(cOMBB_2087181719ol_int,P),Q),R)=hAPP_f561022312t_bool(P,hAPP_i614188481l_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_P989584703t_bool(hAPP_f1187443546t_bool(hAPP_f11709033t_bool(cOMBS_1676841879t_bool,P),Q),R)=hAPP_f892584630t_bool(hAPP_P1400155668t_bool(P,R),hAPP_P1668131738nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_P989584703t_bool(hAPP_f1781059817t_bool(hAPP_f326728547t_bool(cOMBB_2086486755nt_int,P),Q),R)=hAPP_f237669397t_bool(P,hAPP_P989584703t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_P989584703t_bool(hAPP_f1781059817t_bool(hAPP_f125837377t_bool(cOMBS_1610675060t_bool,P),Q),R)=hAPP_f237669397t_bool(hAPP_P877703507t_bool(P,R),hAPP_P989584703t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r1150855451l_bool(hAPP_f381769257l_bool(hAPP_f512004221l_bool(cOMBB_188663909l_real,P),Q),R)=hAPP_f1344929775l_bool(P,hAPP_r632163725t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r285062775l_bool(hAPP_f834119977l_bool(hAPP_f848516149l_bool(cOMBB_270132509l_real,P),Q),R)=hAPP_f252743847l_bool(P,hAPP_r373117745t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r337325687l_real(hAPP_f1644353557l_real(hAPP_f1874145443l_real(cOMBB_1768400739l_real,P),Q),R)=hAPP_f203520653l_real(P,hAPP_r337325687l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r579619957l_real(hAPP_f823702159l_real(hAPP_f1040184293l_real(cOMBB_557258983l_real,P),Q),R)=hAPP_f1591894897l_real(P,hAPP_r1250527377l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r2019696015l_real(hAPP_f2072293513l_real(hAPP_f1763467369l_real(cOMBS_163651580l_real,P),Q),R)=hAPP_f1736103445l_real(hAPP_r224952523l_real(P,R),hAPP_r2019696015l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r938550413l_real(hAPP_f1293550189l_real(hAPP_f183342685l_real(cOMBS_794971624l_real,P),Q),R)=hAPP_P1982799375l_real(hAPP_r931665397l_real(P,R),hAPP_r1195171167l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i1778081398nt_int(hAPP_f2094497995nt_int(hAPP_f534361363nt_int(cOMBB_1657320178nt_int,P),Q),R)=hAPP_f465821005nt_int(P,hAPP_i1778081398nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i998473677nt_int(hAPP_f142232355nt_int(hAPP_f1377453843nt_int(cOMBB_320287386nt_int,P),Q),R)=hAPP_f2002277285nt_int(P,hAPP_i1584592887nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i1153444985nt_int(hAPP_f55007289nt_int(hAPP_f747475781nt_int(cOMBB_222539774nt_int,P),Q),R)=hAPP_f1375227553nt_int(P,hAPP_i1584592887nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_P2053772734t_bool(hAPP_f1198736473t_bool(hAPP_f2042071795t_bool(cOMBB_773384995nt_int,P),Q),R)=hAPP_f291087797t_bool(P,hAPP_P1668131738nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r931665397l_real(hAPP_f1607917947l_real(hAPP_f1076489843l_real(cOMBB_415306361l_real,P),Q),R)=hAPP_b1482221219l_real(P,hAPP_real_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_P752050971nt_int(hAPP_f301246617nt_int(hAPP_f1151807883nt_int(cOMBB_563965291nt_int,P),Q),R)=hAPP_f11151005nt_int(P,hAPP_P2110489235nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_P877703507t_bool(hAPP_f1965248563t_bool(hAPP_f1273270095t_bool(cOMBB_595786433nt_int,P),Q),R)=hAPP_f513299955t_bool(P,hAPP_P921862901l_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r1962736578t_bool(hAPP_f1063001928t_bool(hAPP_f2050994651t_bool(cOMBB_2138578194l_real,P),Q),R)=hAPP_f1545556668t_bool(P,hAPP_r1150855451l_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r1562208522t_bool(h
% 225.30/223.95  Search stopped in tp_alloc by max_mem option.
% 225.30/223.95  APP_f2084827628t_bool(hAPP_f1121609875t_bool(cOMBB_2125215742l_real,P),Q),R)=hAPP_f1902329768t_bool(P,hAPP_r285062775l_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r712953929l_real(hAPP_f1119546819l_real(hAPP_f555557763l_real(cOMBB_422423973l_real,P),Q),R)=hAPP_f800361423l_real(P,hAPP_r2019696015l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r1230691443l_real(hAPP_f324002831l_real(hAPP_f677014621l_real(cOMBS_107495110l_real,P),Q),R)=hAPP_f1293550189l_real(hAPP_r1043989325l_real(P,R),hAPP_r2019696015l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i1836591008nt_int(hAPP_f400200275nt_int(hAPP_f1731308757nt_int(cOMBB_735549356nt_int,P),Q),R)=hAPP_f151095827nt_int(P,hAPP_i1216375074nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r1623423338t_bool(hAPP_f704188951t_bool(hAPP_f1456711209t_bool(cOMBB_690122963l_real,P),Q),R)=hAPP_f472159229t_bool(P,hAPP_r1962736578t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r653725362t_bool(hAPP_f1927674023t_bool(hAPP_f1261108921t_bool(cOMBB_172850899l_real,P),Q),R)=hAPP_f729588221t_bool(P,hAPP_r1562208522t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r1392521531t_bool(hAPP_f332806115t_bool(hAPP_f1177545951t_bool(cOMBB_1459832681l_real,P),Q),R)=hAPP_f1576199059t_bool(P,hAPP_r847664445t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r2052264067t_bool(hAPP_f77155443t_bool(hAPP_f403082607t_bool(cOMBB_984071017l_real,P),Q),R)=hAPP_f743790483t_bool(P,hAPP_r279757445t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r794344869l_real(hAPP_f517738447l_real(hAPP_f1879982819l_real(cOMBB_731595089l_real,P),Q),R)=hAPP_f1607917947l_real(P,hAPP_r1134773055l_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r712953929l_real(hAPP_f1108539711l_real(hAPP_f1109256153l_real(cOMBB_44084907l_real,P),Q),R)=hAPP_f1730463541l_real(P,hAPP_r579619957l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_i1836591008nt_int(hAPP_f617310012nt_int(hAPP_f197974549nt_int(cOMBB_638531587nt_int,P),Q),R)=hAPP_f713949180nt_int(P,hAPP_i1153444985nt_int(Q,R))).
% 225.30/223.95  all P Q R (hAPP_P1400155668t_bool(hAPP_f223623489t_bool(hAPP_f1815301987t_bool(cOMBB_650041899nt_int,P),Q),R)=hAPP_f1325804733t_bool(P,hAPP_P2053772734t_bool(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r224952523l_real(hAPP_f1663701695l_real(hAPP_f774948957l_real(cOMBB_3698607l_real,P),Q),R)=hAPP_f1908301369l_real(P,hAPP_r1230691443l_real(Q,R))).
% 225.30/223.95  all P Q R (hAPP_r1043989325l_real(hAPP_f1161935955l_real(hAPP_f328572565l_real(cOMBB_520243667l_real,P),Q),R)=hAPP_f183342685l_real(P,hAPP_r794344869l_real(Q,R))).
% 225.30/223.95  -(exists X Y (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int))).
% 225.30/223.95  end_of_list.
% 225.30/223.95  
% 225.30/223.95  Search stopped in tp_alloc by max_mem option.
% 225.30/223.95  
% 225.30/223.95  ============ end of search ============
% 225.30/223.95  
% 225.30/223.95  -------------- statistics -------------
% 225.30/223.95  clauses given                  0
% 225.30/223.95  clauses generated              0
% 225.30/223.95  clauses kept                   0
% 225.30/223.95  clauses forward subsumed       0
% 225.30/223.95  clauses back subsumed          0
% 225.30/223.95  Kbytes malloced            11718
% 225.30/223.95  
% 225.30/223.95  ----------- times (seconds) -----------
% 225.30/223.95  user CPU time          2.48          (0 hr, 0 min, 2 sec)
% 225.30/223.95  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 225.30/223.95  wall-clock time      223             (0 hr, 3 min, 43 sec)
% 225.30/223.95  
% 225.30/223.95  Process 10464 finished Wed Jul 27 09:41:30 2022
% 225.30/223.95  Otter interrupted
% 225.30/223.95  PROOF NOT FOUND
%------------------------------------------------------------------------------