TSTP Solution File: NUM925+4 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : NUM925+4 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:10:16 EDT 2022
% Result : Unknown 215.24s 213.96s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM925+4 : TPTP v8.1.0. Released v5.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:51:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 214.38/213.14 ----- Otter 3.3f, August 2004 -----
% 214.38/213.14 The process was started by sandbox on n011.cluster.edu,
% 214.38/213.14 Wed Jul 27 09:51:25 2022
% 214.38/213.14 The command was "./otter". The process ID is 24574.
% 214.38/213.14
% 214.38/213.14 set(prolog_style_variables).
% 214.38/213.14 set(auto).
% 214.38/213.14 dependent: set(auto1).
% 214.38/213.14 dependent: set(process_input).
% 214.38/213.14 dependent: clear(print_kept).
% 214.38/213.14 dependent: clear(print_new_demod).
% 214.38/213.14 dependent: clear(print_back_demod).
% 214.38/213.14 dependent: clear(print_back_sub).
% 214.38/213.14 dependent: set(control_memory).
% 214.38/213.14 dependent: assign(max_mem, 12000).
% 214.38/213.14 dependent: assign(pick_given_ratio, 4).
% 214.38/213.14 dependent: assign(stats_level, 1).
% 214.38/213.14 dependent: assign(max_seconds, 10800).
% 214.38/213.14 clear(print_given).
% 214.38/213.14
% 214.38/213.14 formula_list(usable).
% 214.38/213.14 all A (A=A).
% 214.38/213.14 all B_1_1 is_int(archim856651990g_real(B_1_1)).
% 214.38/213.14 all B_1_1 is_int(archim791455193or_rat(B_1_1)).
% 214.38/213.14 all B_1_1 is_int(archim1246769320r_real(B_1_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_int(big_co1548731110nt_int(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 is_int(code_int_of(B_1_1)).
% 214.38/213.14 is_int(one_one_int).
% 214.38/213.14 is_int(zero_zero_int).
% 214.38/213.14 all B_1_1 is_int(the_int(B_1_1)).
% 214.38/213.14 is_int(undefined_int(int)).
% 214.38/213.14 all B_1_1 is_int(hilbert_Eps_int(B_1_1)).
% 214.38/213.14 is_int(min).
% 214.38/213.14 is_int(pls).
% 214.38/213.14 all B_1_1 B_2_1 B_3_1 is_bool(tendst1507391555omplex(B_1_1,B_2_1,B_3_1)).
% 214.38/213.14 all B_1_1 B_2_1 B_3_1 is_bool(tendsto_complex_real(B_1_1,B_2_1,B_3_1)).
% 214.38/213.14 all B_1_1 B_2_1 B_3_1 is_bool(tendsto_nat_complex(B_1_1,B_2_1,B_3_1)).
% 214.38/213.14 all B_1_1 B_2_1 B_3_1 is_bool(tendsto_nat_real(B_1_1,B_2_1,B_3_1)).
% 214.38/213.14 all B_1_1 B_2_1 B_3_1 is_bool(tendsto_real_real(B_1_1,B_2_1,B_3_1)).
% 214.38/213.14 all B_1_1 is_bool(trivial_limit_nat(B_1_1)).
% 214.38/213.14 all B_1_1 is_int(quickcheck_int_of(B_1_1)).
% 214.38/213.14 all B_1_1 is_bool(vanishes(B_1_1)).
% 214.38/213.14 all B_1_1 is_bool(bse_q_real(B_1_1)).
% 214.38/213.14 all B_1_1 is_bool(cauchy_complex(B_1_1)).
% 214.38/213.14 all B_1_1 is_bool(cauchy_real(B_1_1)).
% 214.38/213.14 all B_1_1 is_bool(monose_q_real(B_1_1)).
% 214.38/213.14 all B_1_1 is_bool(summable_complex(B_1_1)).
% 214.38/213.14 all B_1_1 is_bool(summable_real(B_1_1)).
% 214.38/213.14 is_bool(fFalse).
% 214.38/213.14 is_bool(fTrue).
% 214.38/213.14 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))).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_C24501650l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_complex_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 (is_bool(B_2_1)->is_bool(hAPP_bool_bool(B_1_1,B_2_1))).
% 214.38/213.14 all B_1_1 B_2_1 (is_int(B_2_1)->is_bool(hAPP_int_bool(B_1_1,B_2_1))).
% 214.38/213.14 all B_1_1 B_2_1 (is_int(B_2_1)->is_int(hAPP_int_int(B_1_1,B_2_1))).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_nat_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_int(hAPP_nat_int(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_Q2096512830t_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_rat_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_real_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_f448129468l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_int(hAPP_f1594865479ol_int(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_f54304608l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_int(hAPP_f659380387ol_int(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_f1501066425l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_f215623910l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_f1469637905l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_f526364711l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_f115998247l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_P603027463t_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_int(hAPP_P1175774780nt_int(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_P1555980039t_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_P1333854989l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_P880235623l_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_P62333565t_bool(B_1_1,B_2_1)).
% 214.38/213.14 all B_1_1 B_2_1 is_bool(hAPP_P1463840893t_bool(B_1_1,B_2_1)).
% 214.38/213.14 is_int(m).
% 214.38/213.14 is_int(m1).
% 214.38/213.14 is_int(r).
% 214.38/213.14 is_int(s1).
% 214.38/213.14 is_int(s).
% 214.38/213.14 is_int(sa).
% 214.38/213.14 is_int(t).
% 214.38/213.14 is_int(v).
% 214.38/213.14 is_int(w).
% 214.38/213.14 is_int(x).
% 214.38/213.14 is_int(y).
% 214.38/213.14 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),hAPP_nat_int(semiri1621563631at_int,n)))).
% 214.38/213.14 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)).
% 214.38/213.14 all Xa Ya (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Xa),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,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_rat<->Xa=zero_zero_rat&Ya=zero_zero_rat).
% 214.38/213.14 all Xa Ya (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),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)))))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 214.38/213.14 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),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,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_int<->Xa=zero_zero_int&Ya=zero_zero_int)).
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 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.
% 214.38/213.14 all A_1 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_rat<->A_1=zero_zero_rat).
% 214.38/213.14 all A_1 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_complex<->A_1=zero_zero_complex).
% 214.38/213.14 all A_1 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_real<->A_1=zero_zero_real).
% 214.38/213.14 all A_1 (is_int(A_1)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int<->A_1=zero_zero_int)).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 all V_25 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_25)),one_one_rat)=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_25),hAPP_int_int(bit1,pls)))).
% 214.38/213.14 all V_25 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_25)),one_one_complex)=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_25),hAPP_int_int(bit1,pls)))).
% 214.38/213.14 all V_25 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_25)),one_one_real)=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_25),hAPP_int_int(bit1,pls)))).
% 214.38/213.14 all V_25 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_25)),one_one_int)=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_25),hAPP_int_int(bit1,pls)))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 all X (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_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_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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.38/213.14 all W_15 ((hAPP_int_nat(number_number_of_nat,W_15)=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_15))=one_one_rat)& (hAPP_int_nat(number_number_of_nat,W_15)!=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_15))=zero_zero_rat)).
% 214.38/213.14 all W_15 ((hAPP_int_nat(number_number_of_nat,W_15)=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),hAPP_int_nat(number_number_of_nat,W_15))=one_on1684967323de_int)& (hAPP_int_nat(number_number_of_nat,W_15)!=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),hAPP_int_nat(number_number_of_nat,W_15))=zero_z891286103de_int)).
% 214.38/213.14 all W_15 ((hAPP_int_nat(number_number_of_nat,W_15)=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),hAPP_int_nat(number_number_of_nat,W_15))=one_one_complex)& (hAPP_int_nat(number_number_of_nat,W_15)!=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),hAPP_int_nat(number_number_of_nat,W_15))=zero_zero_complex)).
% 214.38/213.14 all W_15 ((hAPP_int_nat(number_number_of_nat,W_15)=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),hAPP_int_nat(number_number_of_nat,W_15))=one_on1645066479umeral)& (hAPP_int_nat(number_number_of_nat,W_15)!=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),hAPP_int_nat(number_number_of_nat,W_15))=zero_z126310315umeral)).
% 214.38/213.14 all W_15 ((hAPP_int_nat(number_number_of_nat,W_15)=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),hAPP_int_nat(number_number_of_nat,W_15))=one_one_real)& (hAPP_int_nat(number_number_of_nat,W_15)!=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),hAPP_int_nat(number_number_of_nat,W_15))=zero_zero_real)).
% 214.38/213.14 all W_15 ((hAPP_int_nat(number_number_of_nat,W_15)=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_15))=one_one_nat)& (hAPP_int_nat(number_number_of_nat,W_15)!=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_15))=zero_zero_nat)).
% 214.38/213.14 all W_15 ((hAPP_int_nat(number_number_of_nat,W_15)=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_15))=one_one_int)& (hAPP_int_nat(number_number_of_nat,W_15)!=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_15))=zero_zero_int)).
% 214.38/213.14 one_one_rat=hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls)).
% 214.38/213.14 one_one_complex=hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls)).
% 214.38/213.14 one_one_real=hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls)).
% 214.38/213.14 one_one_int=hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)).
% 214.38/213.14 hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls))=one_one_rat.
% 214.38/213.14 hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls))=one_one_complex.
% 214.38/213.14 hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls))=one_one_real.
% 214.38/213.14 hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls))=one_one_int.
% 214.38/213.14 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),n)).
% 214.38/213.14 all X Y (is_int(X)&is_int(Y)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),Y))|X=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),X))).
% 214.38/213.14 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,K)),hAPP_int_int(number_number_of_int,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))).
% 214.38/213.14 all V_1 W (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_1)),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_1),W))).
% 214.38/213.14 all Xa Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,Xa)),hAPP_int_rat(number_number_of_rat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))).
% 214.38/213.14 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,Xa)),hAPP_int_real(number267125858f_real,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))).
% 214.38/213.14 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,Xa)),hAPP_int_int(number_number_of_int,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))).
% 214.38/213.14 zero_zero_int=hAPP_int_int(number_number_of_int,pls).
% 214.38/213.14 all M N (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M)),N)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N))).
% 214.38/213.14 all M N (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M)),N)).
% 214.38/213.14 all M N 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)),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))),Z_1)).
% 214.38/213.14 all M N (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))).
% 214.38/213.14 hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 214.38/213.14 hAPP_int_nat(number_number_of_nat,pls)=zero_zero_nat.
% 214.38/213.14 zero_zero_nat=hAPP_int_nat(number_number_of_nat,pls).
% 214.38/213.14 all Na (hAPP_nat_int(semiri1621563631at_int,Na)=zero_zero_int<->Na=zero_zero_nat).
% 214.38/213.14 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))).
% 214.38/213.14 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),pls)).
% 214.38/213.14 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))).
% 214.38/213.14 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))).
% 214.38/213.14 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)))).
% 214.38/213.14 all V_2 V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,V_2))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))-> (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_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,V_1))& (-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_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_1),V_2))))).
% 214.38/213.14 one_one_int=hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)).
% 214.38/213.14 hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=one_one_nat.
% 214.38/213.14 one_one_nat=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls)).
% 214.38/213.14 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hAPP_int_rat(number_number_of_rat,Xa)=hAPP_int_rat(number_number_of_rat,Ya)<->Xa=Ya)).
% 214.38/213.14 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hAPP_int_complex(number528085621omplex,Xa)=hAPP_int_complex(number528085621omplex,Ya)<->Xa=Ya)).
% 214.38/213.14 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hAPP_int_real(number267125858f_real,Xa)=hAPP_int_real(number267125858f_real,Ya)<->Xa=Ya)).
% 214.38/213.14 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hAPP_int_int(number_number_of_int,Xa)=hAPP_int_int(number_number_of_int,Ya)<->Xa=Ya)).
% 214.38/213.14 all Wa Xa (hAPP_int_rat(number_number_of_rat,Wa)=Xa<->Xa=hAPP_int_rat(number_number_of_rat,Wa)).
% 214.38/213.14 all Wa Xa (hAPP_i1732201573de_int(number1226105091de_int,Wa)=Xa<->Xa=hAPP_i1732201573de_int(number1226105091de_int,Wa)).
% 214.38/213.14 all Wa Xa (hAPP_int_complex(number528085621omplex,Wa)=Xa<->Xa=hAPP_int_complex(number528085621omplex,Wa)).
% 214.38/213.14 all Wa Xa (hAPP_i769753017umeral(number1443263063umeral,Wa)=Xa<->Xa=hAPP_i769753017umeral(number1443263063umeral,Wa)).
% 214.38/213.14 all Wa Xa (hAPP_int_real(number267125858f_real,Wa)=Xa<->Xa=hAPP_int_real(number267125858f_real,Wa)).
% 214.38/213.14 all Wa Xa (is_int(Xa)-> (hAPP_int_int(number_number_of_int,Wa)=Xa<->Xa=hAPP_int_int(number_number_of_int,Wa))).
% 214.38/213.14 all Wa Xa (hAPP_int_nat(number_number_of_nat,Wa)=Xa<->Xa=hAPP_int_nat(number_number_of_nat,Wa)).
% 214.38/213.14 all K L (is_int(K)&is_int(L)-> (hAPP_int_int(bit1,K)=hAPP_int_int(bit1,L)<->K=L)).
% 214.38/213.14 all K L (is_int(K)&is_int(L)-> (hAPP_int_int(bit0,K)=hAPP_int_int(bit0,L)<->K=L)).
% 214.38/213.14 all A_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),A_1)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_1),zero_zero_rat))).
% 214.38/213.14 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),A_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real))).
% 214.38/213.14 all A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int))).
% 214.38/213.14 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))).
% 214.38/213.14 all X Y Z_1 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y),Z_1))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Z_1))).
% 214.38/213.14 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)).
% 214.38/213.14 all Ma Na (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)<->Ma=Na).
% 214.38/213.14 all Xa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,Xa)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls))).
% 214.38/213.14 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,Xa)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls))).
% 214.38/213.14 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,Xa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),pls))).
% 214.38/213.14 all Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_int_rat(number_number_of_rat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya))).
% 214.38/213.14 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(number267125858f_real,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya))).
% 214.38/213.14 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Ya))).
% 214.38/213.14 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls))).
% 214.38/213.14 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))).
% 214.38/213.14 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))).
% 214.38/213.14 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls))).
% 214.38/213.14 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit0,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),K))).
% 214.38/213.14 all Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,Wa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int))).
% 214.38/213.14 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)).
% 214.38/213.14 all Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,Wa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),zero_zero_int))).
% 214.38/213.14 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 214.38/213.14 all Wa Z_2 (is_int(Wa)&is_int(Z_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),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,Wa),Z_2))|Wa=Z_2)).
% 214.38/213.14 all K_2 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,K_2)),zero_zero_int))).
% 214.38/213.14 all Xa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,Xa)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),hAPP_int_int(bit1,pls)))).
% 214.38/213.14 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,Xa)),one_one_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),hAPP_int_int(bit1,pls)))).
% 214.38/213.14 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,Xa)),one_one_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),hAPP_int_int(bit1,pls)))).
% 214.38/213.14 all Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,pls)),Ya))).
% 214.38/213.14 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_int_real(number267125858f_real,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,pls)),Ya))).
% 214.38/213.14 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),hAPP_int_int(number_number_of_int,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,pls)),Ya))).
% 214.38/213.14 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))).
% 214.38/213.14 all A_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),A_1)=zero_zero_rat<->A_1=zero_zero_rat).
% 214.38/213.14 all A_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),A_1)=zero_zero_real<->A_1=zero_zero_real).
% 214.38/213.14 all A_1 (is_int(A_1)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1)=zero_zero_int<->A_1=zero_zero_int)).
% 214.38/213.14 all K_2 (hAPP_int_int(bit1,K_2)!=pls).
% 214.38/213.14 all L_2 (pls!=hAPP_int_int(bit1,L_2)).
% 214.38/213.14 all K_2 L_2 (hAPP_int_int(bit1,K_2)!=hAPP_int_int(bit0,L_2)).
% 214.38/213.14 all K_2 L_2 (hAPP_int_int(bit0,K_2)!=hAPP_int_int(bit1,L_2)).
% 214.38/213.14 all K (is_int(K)-> (hAPP_int_int(bit0,K)=pls<->K=pls)).
% 214.38/213.14 all L (is_int(L)-> (pls=hAPP_int_int(bit0,L)<->pls=L)).
% 214.38/213.14 hAPP_int_int(bit0,pls)=pls.
% 214.38/213.14 all Xa A (hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,Xa),A))<->hBOOL(hAPP_P880235623l_bool(A,Xa))).
% 214.38/213.14 all Xa A (hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,Xa),A))<->hBOOL(hAPP_P62333565t_bool(A,Xa))).
% 214.38/213.14 all Xa A (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Xa),A))<->hBOOL(hAPP_real_bool(A,Xa))).
% 214.38/213.14 all Xa A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),A))<->hBOOL(hAPP_nat_bool(A,Xa))).
% 214.38/213.14 all Xa A (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,Xa),A))<->hBOOL(hAPP_f448129468l_bool(A,Xa))).
% 214.38/213.14 all Xa A (hBOOL(hAPP_f115998247l_bool(hAPP_P1876494581l_bool(member180897546at_nat,Xa),A))<->hBOOL(hAPP_P1463840893t_bool(A,Xa))).
% 214.38/213.14 all Xa A (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),A))<->hBOOL(hAPP_int_bool(A,Xa))).
% 214.38/213.14 all P_1 (collec1979865426at_nat(P_1)=P_1).
% 214.38/213.14 all P_1 (collect_real(P_1)=P_1).
% 214.38/213.14 all P_1 (collec1347809874nt_int(P_1)=P_1).
% 214.38/213.14 all P_1 (collec50511176nt_int(P_1)=P_1).
% 214.38/213.14 all P_1 (collect_nat(P_1)=P_1).
% 214.38/213.14 all P_1 (collect_int(P_1)=P_1).
% 214.38/213.14 pls=zero_zero_int.
% 214.38/213.14 zero_zero_int!=one_one_int.
% 214.38/213.14 all K_2 (is_int(K_2)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),pls)=K_2).
% 214.38/213.14 all K_2 (is_int(K_2)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,pls),K_2)=K_2).
% 214.38/213.14 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))).
% 214.38/213.14 all K_2 (hAPP_int_int(bit0,K_2)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),K_2)).
% 214.38/213.14 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).
% 214.38/213.14 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).
% 214.38/213.14 hAPP_int_rat(number_number_of_rat,pls)=zero_zero_rat.
% 214.38/213.14 hAPP_int_complex(number528085621omplex,pls)=zero_zero_complex.
% 214.38/213.14 hAPP_int_real(number267125858f_real,pls)=zero_zero_real.
% 214.38/213.14 hAPP_int_nat(number_number_of_nat,pls)=zero_zero_nat.
% 214.38/213.14 hAPP_int_int(number_number_of_int,pls)=zero_zero_int.
% 214.38/213.14 hAPP_int_rat(number_number_of_rat,pls)=zero_zero_rat.
% 214.38/213.14 hAPP_int_complex(number528085621omplex,pls)=zero_zero_complex.
% 214.38/213.14 hAPP_int_real(number267125858f_real,pls)=zero_zero_real.
% 214.38/213.14 hAPP_int_int(number_number_of_int,pls)=zero_zero_int.
% 214.38/213.14 zero_zero_rat=hAPP_int_rat(number_number_of_rat,pls).
% 214.38/213.14 zero_zero_complex=hAPP_int_complex(number528085621omplex,pls).
% 214.38/213.14 zero_zero_real=hAPP_int_real(number267125858f_real,pls).
% 214.38/213.14 zero_zero_int=hAPP_int_int(number_number_of_int,pls).
% 214.38/213.14 all A_203 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,pls)),A_203)=A_203).
% 214.38/213.14 all A_203 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,pls)),A_203)=A_203).
% 214.38/213.14 all A_203 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,pls)),A_203)=A_203).
% 214.38/213.14 all A_203 (is_int(A_203)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,pls)),A_203)=A_203).
% 214.38/213.14 all A_202 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_202),hAPP_int_rat(number_number_of_rat,pls))=A_202).
% 214.38/213.14 all A_202 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_202),hAPP_int_complex(number528085621omplex,pls))=A_202).
% 214.38/213.14 all A_202 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_202),hAPP_int_real(number267125858f_real,pls))=A_202).
% 214.38/213.14 all A_202 (is_int(A_202)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_202),hAPP_int_int(number_number_of_int,pls))=A_202).
% 214.38/213.14 all A_1 Wa (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_rat<->A_1=zero_zero_rat&hAPP_int_nat(number_number_of_nat,Wa)!=zero_zero_nat).
% 214.38/213.14 all A_1 Wa (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_z891286103de_int<->A_1=zero_z891286103de_int&hAPP_int_nat(number_number_of_nat,Wa)!=zero_zero_nat).
% 214.38/213.14 all A_1 Wa (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_complex<->A_1=zero_zero_complex&hAPP_int_nat(number_number_of_nat,Wa)!=zero_zero_nat).
% 214.38/213.14 all A_1 Wa (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_z126310315umeral<->A_1=zero_z126310315umeral&hAPP_int_nat(number_number_of_nat,Wa)!=zero_zero_nat).
% 214.38/213.14 all A_1 Wa (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_real<->A_1=zero_zero_real&hAPP_int_nat(number_number_of_nat,Wa)!=zero_zero_nat).
% 214.38/213.14 all A_1 Wa (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_nat<->A_1=zero_zero_nat&hAPP_int_nat(number_number_of_nat,Wa)!=zero_zero_nat).
% 214.38/213.14 all A_1 Wa (is_int(A_1)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_int<->A_1=zero_zero_int&hAPP_int_nat(number_number_of_nat,Wa)!=zero_zero_nat)).
% 214.38/213.14 all V_24 W_14 Z_21 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_24)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,W_14)),Z_21))=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_24),W_14))),Z_21)).
% 214.38/213.14 all V_24 W_14 Z_21 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_24)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,W_14)),Z_21))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_24),W_14))),Z_21)).
% 214.38/213.14 all V_24 W_14 Z_21 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_24)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,W_14)),Z_21))=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_24),W_14))),Z_21)).
% 214.38/213.14 all V_24 W_14 Z_21 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_24)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,W_14)),Z_21))=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_24),W_14))),Z_21)).
% 214.38/213.14 all V_23 W_13 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_23)),hAPP_int_rat(number_number_of_rat,W_13))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_23),W_13))).
% 214.38/213.14 all V_23 W_13 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_23)),hAPP_int_complex(number528085621omplex,W_13))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_23),W_13))).
% 214.38/213.14 all V_23 W_13 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_23)),hAPP_int_real(number267125858f_real,W_13))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_23),W_13))).
% 214.38/213.14 all V_23 W_13 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_23)),hAPP_int_int(number_number_of_int,W_13))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_23),W_13))).
% 214.38/213.14 all V_22 W_12 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_22),W_12))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_22)),hAPP_int_rat(number_number_of_rat,W_12))).
% 214.38/213.14 all V_22 W_12 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_22),W_12))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_22)),hAPP_int_complex(number528085621omplex,W_12))).
% 214.38/213.14 all V_22 W_12 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_22),W_12))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_22)),hAPP_int_real(number267125858f_real,W_12))).
% 214.38/213.14 all V_22 W_12 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_22),W_12))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_22)),hAPP_int_int(number_number_of_int,W_12))).
% 214.38/213.14 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))).
% 214.38/213.14 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))).
% 214.38/213.14 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)).
% 214.38/213.14 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).
% 214.38/213.14 all N_58 (hAPP_int_rat(number_number_of_rat,hAPP_nat_int(semiri1621563631at_int,N_58))=hAPP_nat_rat(semiri151668891at_rat,N_58)).
% 214.38/213.14 all N_58 (hAPP_int_complex(number528085621omplex,hAPP_nat_int(semiri1621563631at_int,N_58))=hAPP_nat_complex(semiri2020571505omplex,N_58)).
% 214.38/213.14 all N_58 (hAPP_int_real(number267125858f_real,hAPP_nat_int(semiri1621563631at_int,N_58))=hAPP_nat_real(semiri132038758t_real,N_58)).
% 214.38/213.14 all N_58 (hAPP_int_int(number_number_of_int,hAPP_nat_int(semiri1621563631at_int,N_58))=hAPP_nat_int(semiri1621563631at_int,N_58)).
% 214.38/213.14 all N_58 (hAPP_int_nat(number_number_of_nat,hAPP_nat_int(semiri1621563631at_int,N_58))=hAPP_nat_nat(semiri984289939at_nat,N_58)).
% 214.38/213.14 all A_1 (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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<->A_1!=zero_zero_rat).
% 214.38/213.14 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<->A_1!=zero_zero_real).
% 214.38/213.14 all A_1 (is_int(A_1)-> (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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))<->A_1!=zero_zero_int)).
% 214.38/213.14 all A_201 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_201),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_rat))).
% 214.38/213.14 all A_201 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_201),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_real))).
% 214.38/213.14 all A_201 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_201),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),zero_zero_int))).
% 214.38/213.14 all Xa Ya (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,Xa),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,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))<->Xa!=zero_zero_rat|Ya!=zero_zero_rat).
% 214.38/213.14 all Xa Ya (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,Xa),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)))))))<->Xa!=zero_zero_real|Ya!=zero_zero_real).
% 214.38/213.14 all Xa Ya (is_int(Xa)&is_int(Ya)-> (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,Xa),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,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))<->Xa!=zero_zero_int|Ya!=zero_zero_int)).
% 214.38/213.14 all X_64 Y_53 (-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_64),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_53),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_rat))).
% 214.38/213.14 all X_64 Y_53 (-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_64),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_53),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_real))).
% 214.38/213.14 all X_64 Y_53 (-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_64),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_53),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_int))).
% 214.38/213.14 all W_11 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,W_11))=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_11))),hAPP_int_rat(number_number_of_rat,W_11))).
% 214.38/213.14 all W_11 (hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,W_11))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),hAPP_int_complex(number528085621omplex,W_11))),hAPP_int_complex(number528085621omplex,W_11))).
% 214.38/213.14 all W_11 (hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,W_11))=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_11))),hAPP_int_real(number267125858f_real,W_11))).
% 214.38/213.14 all W_11 (hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W_11))=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_11))),hAPP_int_int(number_number_of_int,W_11))).
% 214.38/213.14 all W_10 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,W_10))=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_10))),hAPP_int_rat(number_number_of_rat,W_10))).
% 214.38/213.14 all W_10 (hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,W_10))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),hAPP_int_complex(number528085621omplex,W_10))),hAPP_int_complex(number528085621omplex,W_10))).
% 214.38/213.14 all W_10 (hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,W_10))=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_10))),hAPP_int_real(number267125858f_real,W_10))).
% 214.38/213.14 all W_10 (hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,W_10))=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_10))),hAPP_int_int(number_number_of_int,W_10))).
% 214.38/213.14 hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls))=one_one_rat.
% 214.38/213.14 hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls))=one_one_complex.
% 214.38/213.14 hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls))=one_one_real.
% 214.38/213.14 hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=one_one_nat.
% 214.38/213.14 hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls))=one_one_int.
% 214.38/213.14 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,m1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 214.38/213.14 all N_57 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,N_57)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N_57))).
% 214.38/213.14 all N_57 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N_57)),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_57))).
% 214.38/213.14 all N_57 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,N_57)),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_57))).
% 214.38/213.14 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)))).
% 214.38/213.14 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)))).
% 214.38/213.14 all Xa Ya (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),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)))))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 214.38/213.14 all Na (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_nat_rat(semiri151668891at_rat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.14 all Na (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_n522471361de_int(semiri1424489471de_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.14 all Na (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_n1108039445umeral(semiri1619134803umeral,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.14 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.14 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.14 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.14 all N_56 A_200 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_200))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_56))->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_200),N_56))))).
% 214.38/213.14 all N_56 A_200 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_200))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_56))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_200),N_56))))).
% 214.38/213.14 all N_56 A_200 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_200))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_56))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_200),N_56))))).
% 214.38/213.14 all N_56 A_200 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_200))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_56))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_200),N_56))))).
% 214.38/213.14 all N_56 A_200 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_200))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_56))->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_200),N_56))))).
% 214.38/213.15 all N_56 A_200 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_200))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_56))->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_200),N_56))))).
% 214.38/213.15 all N_55 ((N_55=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,zero_zero_rat),N_55)=one_one_rat)& (N_55!=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,zero_zero_rat),N_55)=zero_zero_rat)).
% 214.38/213.15 all N_55 ((N_55=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),N_55)=one_on1684967323de_int)& (N_55!=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,zero_z891286103de_int),N_55)=zero_z891286103de_int)).
% 214.38/213.15 all N_55 ((N_55=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),N_55)=one_one_complex)& (N_55!=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,zero_zero_complex),N_55)=zero_zero_complex)).
% 214.38/213.15 all N_55 ((N_55=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),N_55)=one_on1645066479umeral)& (N_55!=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,zero_z126310315umeral),N_55)=zero_z126310315umeral)).
% 214.38/213.15 all N_55 ((N_55=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N_55)=one_one_real)& (N_55!=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),N_55)=zero_zero_real)).
% 214.38/213.15 all N_55 ((N_55=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),N_55)=one_one_nat)& (N_55!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),N_55)=zero_zero_nat)).
% 214.38/213.15 all N_55 ((N_55=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),N_55)=one_one_int)& (N_55!=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,zero_zero_int),N_55)=zero_zero_int)).
% 214.38/213.15 all A_199 N_54 N_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_54),N_53))-> (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_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_199),N_53)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_199),N_54)))))).
% 214.38/213.15 all A_199 N_54 N_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_54),N_53))-> (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_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_199),N_53)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_199),N_54)))))).
% 214.38/213.15 all A_199 N_54 N_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_54),N_53))-> (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_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_199),N_53)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_199),N_54)))))).
% 214.38/213.15 all A_199 N_54 N_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_54),N_53))-> (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_nat_real(hAPP_r474017924t_real(power_power_real,A_199),N_53)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_199),N_54)))))).
% 214.38/213.15 all A_199 N_54 N_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_54),N_53))-> (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(power_power_nat,A_199),N_53)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_199),N_54)))))).
% 214.38/213.15 all A_199 N_54 N_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_54),N_53))-> (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_nat_int(hAPP_int_fun_nat_int(power_power_int,A_199),N_53)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_199),N_54)))))).
% 214.38/213.15 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))).
% 214.38/213.15 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))).
% 214.38/213.15 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),one_on1645066479umeral))).
% 214.38/213.15 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))).
% 214.38/213.15 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))).
% 214.38/213.15 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))).
% 214.38/213.15 all P_1 K I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),I_1))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K),one_one_int)))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),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))))).
% 214.38/213.15 zero_zero_int=hAPP_nat_int(semiri1621563631at_int,zero_zero_nat).
% 214.38/213.15 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),tn)).
% 214.38/213.15 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 214.38/213.15 zero_zero_real!=one_one_real.
% 214.38/213.15 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 214.38/213.15 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))).
% 214.38/213.15 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))).
% 214.38/213.15 all K_2 (is_int(K_2)->hAPP_int_int(number_number_of_int,K_2)=K_2).
% 214.38/213.15 all Ma Na (Ma!=Na<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))).
% 214.38/213.15 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M)).
% 214.38/213.15 all X Y Z_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Z_1))).
% 214.38/213.15 all M N 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)),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),K_2))).
% 214.38/213.15 all K Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)<->Ma=Na).
% 214.38/213.15 all Ma K Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),K)<->Ma=Na).
% 214.38/213.15 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.38/213.15 all X Y (X!=Y-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y),X)))).
% 214.38/213.15 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),N))).
% 214.38/213.15 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))->M!=N).
% 214.38/213.15 all S_1 T_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,S_1),T_1))->S_1!=T_1).
% 214.38/213.15 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)))).
% 214.38/213.15 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)))).
% 214.38/213.15 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)))).
% 214.38/213.15 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))))).
% 214.38/213.15 all M N 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)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 214.38/213.15 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))).
% 214.38/213.15 all P_1 Ma Na ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))-> ((Ma=Na->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))-> ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Na),Ma))))).
% 214.38/213.15 all N (N!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 214.38/213.15 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->N!=zero_zero_nat).
% 214.38/213.15 all M N 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)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 214.38/213.15 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 214.38/213.15 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))|Na=zero_zero_nat).
% 214.38/213.15 all Ma Na (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),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.15 all Na (Na!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.15 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),zero_zero_nat))).
% 214.38/213.15 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),Na)))<->Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))).
% 214.38/213.15 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))).
% 214.38/213.15 all Xa Wa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),hAPP_int_nat(number_number_of_nat,Wa))))<->hAPP_int_nat(number_number_of_nat,Wa)=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Xa))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.38/213.15 all Va V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,Va)),hAPP_int_nat(number_number_of_nat,V)))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V)))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Va),V))).
% 214.38/213.15 all X_63 Y_52 (X_63!=Y_52-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_63),Y_52))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_52),X_63)))).
% 214.38/213.15 all X_63 Y_52 (X_63!=Y_52-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_63),Y_52))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_52),X_63)))).
% 214.38/213.15 all X_63 Y_52 (is_int(X_63)&is_int(Y_52)-> (X_63!=Y_52-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_63),Y_52))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_52),X_63))))).
% 214.38/213.15 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=M->N=zero_zero_nat).
% 214.38/213.15 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),Na)=zero_zero_nat<->Ma=zero_zero_nat&Na=zero_zero_nat).
% 214.38/213.15 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),zero_zero_nat)=M).
% 214.38/213.15 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),N)=N).
% 214.38/213.15 all A_198 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_198),one_one_nat)=A_198).
% 214.38/213.15 all A_198 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_198),one_one_nat)=A_198).
% 214.38/213.15 all A_198 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_198),one_one_nat)=A_198).
% 214.38/213.15 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).
% 214.38/213.15 all Ma Na (hAPP_nat_rat(semiri151668891at_rat,Ma)=hAPP_nat_rat(semiri151668891at_rat,Na)<->Ma=Na).
% 214.38/213.15 all Ma Na (hAPP_nat_complex(semiri2020571505omplex,Ma)=hAPP_nat_complex(semiri2020571505omplex,Na)<->Ma=Na).
% 214.38/213.15 all Ma Na (hAPP_nat_real(semiri132038758t_real,Ma)=hAPP_nat_real(semiri132038758t_real,Na)<->Ma=Na).
% 214.38/213.15 all Ma Na (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_nat_int(semiri1621563631at_int,Na)<->Ma=Na).
% 214.38/213.15 all Xa Ya (hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,Ya)<->Xa=Ya).
% 214.38/213.15 all Xa Ya P_1 ((hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Xa)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,P_1),Xa),Ya)))& (-hBOOL(P_1)->hAPP_nat_int(semiri1621563631at_int,Ya)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,P_1),Xa),Ya)))).
% 214.38/213.15 all Va (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,Va)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),Va))).
% 214.38/213.15 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.38/213.15 one_one_rat!=zero_zero_rat.
% 214.38/213.15 one_on1684967323de_int!=zero_z891286103de_int.
% 214.38/213.15 one_one_complex!=zero_zero_complex.
% 214.38/213.15 one_on1645066479umeral!=zero_z126310315umeral.
% 214.38/213.15 one_one_real!=zero_zero_real.
% 214.38/213.15 one_one_nat!=zero_zero_nat.
% 214.38/213.15 one_one_int!=zero_zero_int.
% 214.38/213.15 zero_zero_rat!=one_one_rat.
% 214.38/213.15 zero_z891286103de_int!=one_on1684967323de_int.
% 214.38/213.15 zero_zero_complex!=one_one_complex.
% 214.38/213.15 zero_z126310315umeral!=one_on1645066479umeral.
% 214.38/213.15 zero_zero_real!=one_one_real.
% 214.38/213.15 zero_zero_nat!=one_one_nat.
% 214.38/213.15 zero_zero_int!=one_one_int.
% 214.38/213.15 all N_52 A_197 (A_197!=zero_zero_rat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_197),N_52)!=zero_zero_rat).
% 214.38/213.15 all N_52 A_197 (A_197!=zero_zero_complex->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_197),N_52)!=zero_zero_complex).
% 214.38/213.15 all N_52 A_197 (A_197!=zero_zero_real->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_197),N_52)!=zero_zero_real).
% 214.38/213.15 all N_52 A_197 (is_int(A_197)-> (A_197!=zero_zero_int->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_197),N_52)!=zero_zero_int)).
% 214.38/213.15 all N_51 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,one_one_rat),N_51)=one_one_rat).
% 214.38/213.15 all N_51 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,one_on1684967323de_int),N_51)=one_on1684967323de_int).
% 214.38/213.15 all N_51 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,one_one_complex),N_51)=one_one_complex).
% 214.38/213.15 all N_51 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,one_on1645066479umeral),N_51)=one_on1645066479umeral).
% 214.38/213.15 all N_51 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,one_one_real),N_51)=one_one_real).
% 214.38/213.15 all N_51 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,one_one_nat),N_51)=one_one_nat).
% 214.38/213.15 all N_51 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,one_one_int),N_51)=one_one_int).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,Ma)),hAPP_nat_rat(semiri151668891at_rat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,Ma)),hAPP_n522471361de_int(semiri1424489471de_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.38/213.15 all M_26 N_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_26),N_50))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,M_26)),hAPP_nat_rat(semiri151668891at_rat,N_50)))).
% 214.38/213.15 all M_26 N_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_26),N_50))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_26)),hAPP_n522471361de_int(semiri1424489471de_int,N_50)))).
% 214.38/213.15 all M_26 N_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_26),N_50))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_26)),hAPP_nat_real(semiri132038758t_real,N_50)))).
% 214.38/213.15 all M_26 N_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_26),N_50))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_26)),hAPP_nat_nat(semiri984289939at_nat,N_50)))).
% 214.38/213.15 all M_26 N_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_26),N_50))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_26)),hAPP_nat_int(semiri1621563631at_int,N_50)))).
% 214.38/213.15 all M_25 N_49 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,M_25)),hAPP_nat_rat(semiri151668891at_rat,N_49)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_25),N_49))).
% 214.38/213.15 all M_25 N_49 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_25)),hAPP_n522471361de_int(semiri1424489471de_int,N_49)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_25),N_49))).
% 214.38/213.15 all M_25 N_49 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_25)),hAPP_nat_real(semiri132038758t_real,N_49)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_25),N_49))).
% 214.38/213.15 all M_25 N_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_25)),hAPP_nat_nat(semiri984289939at_nat,N_49)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_25),N_49))).
% 214.38/213.15 all M_25 N_49 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_25)),hAPP_nat_int(semiri1621563631at_int,N_49)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_25),N_49))).
% 214.38/213.15 all M_24 N_48 (hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_24),N_48))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_nat_rat(semiri151668891at_rat,M_24)),hAPP_nat_rat(semiri151668891at_rat,N_48))).
% 214.38/213.15 all M_24 N_48 (hAPP_n522471361de_int(semiri1424489471de_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_24),N_48))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_24)),hAPP_n522471361de_int(semiri1424489471de_int,N_48))).
% 214.38/213.15 all M_24 N_48 (hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_24),N_48))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_nat_complex(semiri2020571505omplex,M_24)),hAPP_nat_complex(semiri2020571505omplex,N_48))).
% 214.38/213.15 all M_24 N_48 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_24),N_48))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(semiri132038758t_real,M_24)),hAPP_nat_real(semiri132038758t_real,N_48))).
% 214.38/213.15 all M_24 N_48 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_24),N_48))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(semiri984289939at_nat,M_24)),hAPP_nat_nat(semiri984289939at_nat,N_48))).
% 214.38/213.15 all M_24 N_48 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_24),N_48))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,M_24)),hAPP_nat_int(semiri1621563631at_int,N_48))).
% 214.38/213.15 hAPP_nat_rat(semiri151668891at_rat,one_one_nat)=one_one_rat.
% 214.38/213.15 hAPP_n522471361de_int(semiri1424489471de_int,one_one_nat)=one_on1684967323de_int.
% 214.38/213.15 hAPP_nat_complex(semiri2020571505omplex,one_one_nat)=one_one_complex.
% 214.38/213.15 hAPP_n1108039445umeral(semiri1619134803umeral,one_one_nat)=one_on1645066479umeral.
% 214.38/213.15 hAPP_nat_real(semiri132038758t_real,one_one_nat)=one_one_real.
% 214.38/213.15 hAPP_nat_nat(semiri984289939at_nat,one_one_nat)=one_one_nat.
% 214.38/213.15 hAPP_nat_int(semiri1621563631at_int,one_one_nat)=one_one_int.
% 214.38/213.15 all M_23 N_47 (hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_23),N_47))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(semiri2020571505omplex,M_23)),N_47)).
% 214.38/213.15 all M_23 N_47 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_23),N_47))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(semiri132038758t_real,M_23)),N_47)).
% 214.38/213.15 all M_23 N_47 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_23),N_47))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(semiri984289939at_nat,M_23)),N_47)).
% 214.38/213.15 all M_23 N_47 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_23),N_47))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,M_23)),N_47)).
% 214.38/213.15 all M_23 N_47 (hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_23),N_47))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_nat_rat(semiri151668891at_rat,M_23)),N_47)).
% 214.38/213.15 one_one_int=hAPP_nat_int(semiri1621563631at_int,one_one_nat).
% 214.38/213.15 all X Y (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X),Y))).
% 214.38/213.15 all X N (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(semiri1621563631at_int,X)),N)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N))).
% 214.38/213.15 all B_134 C_78 A_196 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_196))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_134),C_78))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_134),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_196),C_78))))).
% 214.38/213.15 all B_134 C_78 A_196 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_196))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_134),C_78))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_134),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_196),C_78))))).
% 214.38/213.15 all B_134 C_78 A_196 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_196))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_134),C_78))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_134),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_196),C_78))))).
% 214.38/213.15 all B_134 C_78 A_196 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_196))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_134),C_78))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_134),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_196),C_78))))).
% 214.38/213.15 all B_134 C_78 A_196 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_196))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_134),C_78))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_134),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_196),C_78))))).
% 214.38/213.15 all B_134 C_78 A_196 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_196))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_134),C_78))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_134),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_196),C_78))))).
% 214.38/213.15 -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),zero_zero_rat)).
% 214.38/213.15 -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),zero_z891286103de_int)).
% 214.38/213.15 -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),zero_z126310315umeral)).
% 214.38/213.15 -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),zero_zero_real)).
% 214.38/213.15 -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),zero_zero_nat)).
% 214.38/213.15 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),zero_zero_int)).
% 214.38/213.15 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),one_one_rat)).
% 214.38/213.15 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),one_on1684967323de_int)).
% 214.38/213.15 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),one_on1645066479umeral)).
% 214.38/213.15 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),one_one_real)).
% 214.38/213.15 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),one_one_nat)).
% 214.38/213.15 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),one_one_int)).
% 214.38/213.15 all N_46 A_195 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_195))->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_195),N_46)))).
% 214.38/213.15 all N_46 A_195 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_195))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_195),N_46)))).
% 214.38/213.15 all N_46 A_195 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_195))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_195),N_46)))).
% 214.38/213.15 all N_46 A_195 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_195))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_195),N_46)))).
% 214.38/213.15 all N_46 A_195 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_195))->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_195),N_46)))).
% 214.38/213.15 all N_46 A_195 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_195))->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_195),N_46)))).
% 214.38/213.15 all A_194 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_194),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_194),one_one_rat))).
% 214.38/213.15 all A_194 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_194),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_194),one_on1684967323de_int))).
% 214.38/213.15 all A_194 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_194),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_194),one_on1645066479umeral))).
% 214.38/213.15 all A_194 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_194),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_194),one_one_real))).
% 214.38/213.15 all A_194 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_194),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_194),one_one_nat))).
% 214.38/213.15 all A_194 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_194),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_194),one_one_int))).
% 214.38/213.15 all Ma Na A_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_1))-> (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_1),Ma)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_1),Na)<->Ma=Na)).
% 214.38/213.15 all Ma Na A_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_1))-> (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_1),Ma)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_1),Na)<->Ma=Na)).
% 214.38/213.15 all Ma Na A_1 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_1))-> (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_1),Ma)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_1),Na)<->Ma=Na)).
% 214.38/213.15 all Ma Na A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_1))-> (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_1),Ma)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_1),Na)<->Ma=Na)).
% 214.38/213.15 all Ma Na A_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_1))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_1),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_1),Na)<->Ma=Na)).
% 214.38/213.15 all Ma Na A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),Ma)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),Na)<->Ma=Na)).
% 214.38/213.15 all Xa Ya B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),B_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_1),Xa)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 214.38/213.15 all Xa Ya B_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),B_1))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_1),Xa)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 214.38/213.15 all Xa Ya B_1 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),B_1))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_1),Xa)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 214.38/213.15 all Xa Ya B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_1),Xa)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 214.38/213.15 all Xa Ya B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 214.38/213.15 all Xa Ya B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),Xa)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya)))).
% 214.38/213.15 all M_22 N_45 A_193 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_193))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_193),M_22)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_193),N_45)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_22),N_45)))).
% 214.38/213.15 all M_22 N_45 A_193 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_193))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_193),M_22)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_193),N_45)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_22),N_45)))).
% 214.38/213.15 all M_22 N_45 A_193 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_193))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_193),M_22)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_193),N_45)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_22),N_45)))).
% 214.38/213.15 all M_22 N_45 A_193 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_193))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_193),M_22)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_193),N_45)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_22),N_45)))).
% 214.38/213.15 all M_22 N_45 A_193 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_193))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_193),M_22)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_193),N_45)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_22),N_45)))).
% 214.38/213.15 all M_22 N_45 A_193 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_193))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_193),M_22)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_193),N_45)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_22),N_45)))).
% 214.38/213.15 all A_192 N_44 N_43 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_44),N_43))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_192))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_192),N_44)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_192),N_43))))).
% 214.38/213.15 all A_192 N_44 N_43 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_44),N_43))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_192))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_192),N_44)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_192),N_43))))).
% 214.38/213.15 all A_192 N_44 N_43 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_44),N_43))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_192))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_192),N_44)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_192),N_43))))).
% 214.38/213.15 all A_192 N_44 N_43 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_44),N_43))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_192))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_192),N_44)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_192),N_43))))).
% 214.38/213.15 all A_192 N_44 N_43 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_44),N_43))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_192))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_192),N_44)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_192),N_43))))).
% 214.38/213.15 all A_192 N_44 N_43 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N_44),N_43))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_192))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_192),N_44)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_192),N_43))))).
% 214.38/213.15 all A_1 Na (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_1),Na)=zero_zero_rat<->A_1=zero_zero_rat&Na!=zero_zero_nat).
% 214.38/213.15 all A_1 Na (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_1),Na)=zero_z891286103de_int<->A_1=zero_z891286103de_int&Na!=zero_zero_nat).
% 214.38/213.15 all A_1 Na (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_1),Na)=zero_zero_complex<->A_1=zero_zero_complex&Na!=zero_zero_nat).
% 214.38/213.15 all A_1 Na (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_1),Na)=zero_z126310315umeral<->A_1=zero_z126310315umeral&Na!=zero_zero_nat).
% 214.38/213.15 all A_1 Na (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_1),Na)=zero_zero_real<->A_1=zero_zero_real&Na!=zero_zero_nat).
% 214.38/213.15 all A_1 Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_1),Na)=zero_zero_nat<->A_1=zero_zero_nat&Na!=zero_zero_nat).
% 214.38/213.15 all A_1 Na (is_int(A_1)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),Na)=zero_zero_int<->A_1=zero_zero_int&Na!=zero_zero_nat)).
% 214.38/213.15 all M_21 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(semiri151668891at_rat,M_21)),zero_zero_rat))).
% 214.38/213.15 all M_21 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_21)),zero_z891286103de_int))).
% 214.38/213.15 all M_21 (-hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(semiri1619134803umeral,M_21)),zero_z126310315umeral))).
% 214.38/213.15 all M_21 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(semiri132038758t_real,M_21)),zero_zero_real))).
% 214.38/213.15 all M_21 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(semiri984289939at_nat,M_21)),zero_zero_nat))).
% 214.38/213.15 all M_21 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,M_21)),zero_zero_int))).
% 214.38/213.15 all A_191 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_191),zero_zero_nat)=one_one_rat).
% 214.38/213.15 all A_191 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_191),zero_zero_nat)=one_on1684967323de_int).
% 214.38/213.15 all A_191 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_191),zero_zero_nat)=one_one_complex).
% 214.38/213.15 all A_191 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_191),zero_zero_nat)=one_on1645066479umeral).
% 214.38/213.15 all A_191 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_191),zero_zero_nat)=one_one_real).
% 214.38/213.15 all A_191 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_191),zero_zero_nat)=one_one_nat).
% 214.38/213.15 all A_191 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_191),zero_zero_nat)=one_one_int).
% 214.38/213.15 hAPP_nat_rat(semiri151668891at_rat,zero_zero_nat)=zero_zero_rat.
% 214.38/213.15 hAPP_n522471361de_int(semiri1424489471de_int,zero_zero_nat)=zero_z891286103de_int.
% 214.38/213.15 hAPP_nat_complex(semiri2020571505omplex,zero_zero_nat)=zero_zero_complex.
% 214.38/213.15 hAPP_n1108039445umeral(semiri1619134803umeral,zero_zero_nat)=zero_z126310315umeral.
% 214.38/213.15 hAPP_nat_real(semiri132038758t_real,zero_zero_nat)=zero_zero_real.
% 214.38/213.15 hAPP_nat_nat(semiri984289939at_nat,zero_zero_nat)=zero_zero_nat.
% 214.38/213.15 hAPP_nat_int(semiri1621563631at_int,zero_zero_nat)=zero_zero_int.
% 214.38/213.15 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))))).
% 214.38/213.15 all K_2 (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K_2))-> (exists N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))&K_2=hAPP_nat_int(semiri1621563631at_int,N_1))))).
% 214.38/213.15 all I J_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I),J_2))-> (exists 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(plus_plus_nat,I),K_1)=J_2))).
% 214.38/213.15 all Xa Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),Na)=one_one_nat<->Xa=one_one_nat|Na=zero_zero_nat).
% 214.38/213.15 all X_62 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_62),zero_zero_nat)=one_one_rat).
% 214.38/213.15 all X_62 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_62),zero_zero_nat)=one_on1684967323de_int).
% 214.38/213.15 all X_62 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_62),zero_zero_nat)=one_one_complex).
% 214.38/213.15 all X_62 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_62),zero_zero_nat)=one_on1645066479umeral).
% 214.38/213.15 all X_62 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_62),zero_zero_nat)=one_one_real).
% 214.38/213.15 all X_62 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_62),zero_zero_nat)=one_one_nat).
% 214.38/213.15 all X_62 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_62),zero_zero_nat)=one_one_int).
% 214.38/213.15 all A_1 (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_1),A_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_1))).
% 214.38/213.15 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),A_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_1))).
% 214.38/213.15 all A_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,A_1),A_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1))).
% 214.38/213.15 all A_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),A_1)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_1),zero_zero_rat))).
% 214.38/213.15 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),A_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),zero_zero_real))).
% 214.38/213.15 all A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int))).
% 214.38/213.15 all B_133 A_190 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_190))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_133))->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_190),B_133))))).
% 214.38/213.15 all B_133 A_190 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_190))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_133))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_190),B_133))))).
% 214.38/213.15 all B_133 A_190 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_190))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_133))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_190),B_133))))).
% 214.38/213.15 all B_133 A_190 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_190))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_133))->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_190),B_133))))).
% 214.38/213.15 all B_133 A_190 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_190))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_133))->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_190),B_133))))).
% 214.38/213.15 all B_133 A_190 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_190))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_133))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_190),B_133))))).
% 214.38/213.15 all B_132 A_189 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_189),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_132),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_189),B_132)),zero_zero_rat)))).
% 214.38/213.15 all B_132 A_189 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_189),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_132),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_189),B_132)),zero_z891286103de_int)))).
% 214.38/213.15 all B_132 A_189 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_189),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_132),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_189),B_132)),zero_zero_real)))).
% 214.38/213.15 all B_132 A_189 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_189),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_132),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_189),B_132)),zero_zero_nat)))).
% 214.38/213.15 all B_132 A_189 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_189),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_132),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_189),B_132)),zero_zero_int)))).
% 214.38/213.15 all B_132 A_189 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_189),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_132),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_189),B_132)),zero_z126310315umeral)))).
% 214.38/213.15 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),t)).
% 214.38/213.15 all V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,V_1))=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),hAPP_int_nat(number_number_of_nat,V_1))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_1)))).
% 214.38/213.15 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))).
% 214.38/213.15 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)))).
% 214.38/213.15 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))).
% 214.38/213.15 all W hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,W),W)).
% 214.38/213.15 all Xa Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,Xa)),hAPP_int_rat(number_number_of_rat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))).
% 214.38/213.15 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,Xa)),hAPP_int_real(number267125858f_real,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))).
% 214.38/213.15 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,Xa)),hAPP_int_int(number_number_of_int,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(semiri151668891at_rat,Ma)),hAPP_nat_rat(semiri151668891at_rat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(semiri132038758t_real,Ma)),hAPP_nat_real(semiri132038758t_real,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(semiri1424489471de_int,Ma)),hAPP_n522471361de_int(semiri1424489471de_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.38/213.15 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(semiri984289939at_nat,Ma)),hAPP_nat_nat(semiri984289939at_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.38/213.15 all C_77 A_188 B_131 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_77),A_188)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_77),B_131)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_188),B_131))).
% 214.38/213.15 all C_77 A_188 B_131 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_77),A_188)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_77),B_131)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_188),B_131))).
% 214.38/213.15 all C_77 A_188 B_131 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_77),A_188)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_77),B_131)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_188),B_131))).
% 214.38/213.15 all C_77 A_188 B_131 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_77),A_188)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_77),B_131)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_188),B_131))).
% 214.38/213.15 all C_77 A_188 B_131 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_77),A_188)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_77),B_131)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_188),B_131))).
% 214.38/213.15 all A_187 C_76 B_130 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_187),C_76)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_130),C_76)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_187),B_130))).
% 214.38/213.15 all A_187 C_76 B_130 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_187),C_76)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_130),C_76)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_187),B_130))).
% 214.38/213.15 all A_187 C_76 B_130 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_187),C_76)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_130),C_76)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_187),B_130))).
% 214.38/213.15 all A_187 C_76 B_130 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_187),C_76)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_130),C_76)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_187),B_130))).
% 214.38/213.15 all A_187 C_76 B_130 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_187),C_76)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_130),C_76)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_187),B_130))).
% 214.38/213.15 all C_75 D_22 A_186 B_129 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_186),B_129))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_75),D_22))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_186),C_75)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_129),D_22))))).
% 214.38/213.15 all C_75 D_22 A_186 B_129 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_186),B_129))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_75),D_22))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_186),C_75)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_129),D_22))))).
% 214.38/213.15 all C_75 D_22 A_186 B_129 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_186),B_129))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_75),D_22))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_186),C_75)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_129),D_22))))).
% 214.38/213.15 all C_75 D_22 A_186 B_129 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_186),B_129))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_75),D_22))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_186),C_75)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_129),D_22))))).
% 214.38/213.15 all C_75 D_22 A_186 B_129 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_186),B_129))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_75),D_22))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_186),C_75)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_129),D_22))))).
% 214.38/213.15 all C_74 A_185 B_128 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_185),B_128))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_74),A_185)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_74),B_128)))).
% 214.38/213.15 all C_74 A_185 B_128 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_185),B_128))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_74),A_185)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_74),B_128)))).
% 214.38/213.15 all C_74 A_185 B_128 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_185),B_128))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_74),A_185)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_74),B_128)))).
% 214.38/213.15 all C_74 A_185 B_128 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_185),B_128))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_74),A_185)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_74),B_128)))).
% 214.38/213.15 all C_74 A_185 B_128 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_185),B_128))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_74),A_185)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_74),B_128)))).
% 214.38/213.15 all C_73 A_184 B_127 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_184),B_127))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_184),C_73)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_127),C_73)))).
% 214.38/213.15 all C_73 A_184 B_127 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_184),B_127))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_184),C_73)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_127),C_73)))).
% 214.38/213.15 all C_73 A_184 B_127 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_184),B_127))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_184),C_73)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_127),C_73)))).
% 214.38/213.15 all C_73 A_184 B_127 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_184),B_127))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_184),C_73)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_127),C_73)))).
% 214.38/213.15 all C_73 A_184 B_127 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_184),B_127))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_184),C_73)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_127),C_73)))).
% 214.38/213.15 all C A_1 B_1 (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_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_1),B_1))).
% 214.38/213.15 all C A_1 B_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),A_1)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B_1)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_1),B_1))).
% 214.38/213.15 all C A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),A_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))).
% 214.38/213.15 all C A_1 B_1 (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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B_1))).
% 214.38/213.15 all C A_1 B_1 (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_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B_1))).
% 214.38/213.15 all A_1 C B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_1),C)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_1),B_1))).
% 214.38/213.15 all A_1 C B_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_1),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_1),C)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_1),B_1))).
% 214.38/213.15 all A_1 C B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_1),C)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))).
% 214.38/213.15 all A_1 C B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_1),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_1),C)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B_1))).
% 214.38/213.15 all A_1 C B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),C)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B_1))).
% 214.38/213.15 all A_183 N_42 N_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_42),N_41))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),A_183))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_183),N_42)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_183),N_41))))).
% 214.38/213.15 all A_183 N_42 N_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_42),N_41))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),A_183))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_183),N_42)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_183),N_41))))).
% 214.38/213.15 all A_183 N_42 N_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_42),N_41))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),A_183))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_183),N_42)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_183),N_41))))).
% 214.38/213.15 all A_183 N_42 N_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_42),N_41))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_183))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_183),N_42)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_183),N_41))))).
% 214.38/213.15 all A_183 N_42 N_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_42),N_41))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_183))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_183),N_42)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_183),N_41))))).
% 214.38/213.15 all A_183 N_42 N_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_42),N_41))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_183))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_183),N_42)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_183),N_41))))).
% 214.38/213.15 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))).
% 214.38/213.15 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L))).
% 214.38/213.15 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),pls)).
% 214.38/213.15 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))).
% 214.38/213.15 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L))).
% 214.38/213.15 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),zero_zero_int)).
% 214.38/213.15 all Z_2 Wa (is_int(Z_2)&is_int(Wa)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),Wa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_2),Wa))&Z_2!=Wa)).
% 214.38/213.15 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)))).
% 214.38/213.15 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,K)),hAPP_int_int(number_number_of_int,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L))).
% 214.38/213.15 all B_126 A_182 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_182),zero_zero_rat))-> (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(plus_plus_rat,A_182),B_126)),zero_zero_rat)))).
% 214.38/213.15 all B_126 A_182 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_182),zero_z891286103de_int))-> (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(plus_p1446045655de_int,A_182),B_126)),zero_z891286103de_int)))).
% 214.38/213.15 all B_126 A_182 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_182),zero_zero_real))-> (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(plus_plus_real,A_182),B_126)),zero_zero_real)))).
% 214.38/213.15 all B_126 A_182 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_182),zero_zero_nat))-> (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(plus_plus_nat,A_182),B_126)),zero_zero_nat)))).
% 214.38/213.15 all B_126 A_182 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_182),zero_zero_int))-> (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(plus_plus_int,A_182),B_126)),zero_zero_int)))).
% 214.38/213.15 all B_126 A_182 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_182),zero_z126310315umeral))-> (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(plus_p1627245867umeral,A_182),B_126)),zero_z126310315umeral)))).
% 214.38/213.15 all B_125 A_181 C_72 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_72))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_125),A_181))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_125),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_181),C_72))))).
% 214.38/213.15 all B_125 A_181 C_72 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_72))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_125),A_181))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_125),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_181),C_72))))).
% 214.38/213.15 all B_125 A_181 C_72 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_72))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_125),A_181))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_125),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_181),C_72))))).
% 214.38/213.15 all B_125 A_181 C_72 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_72))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_125),A_181))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_125),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_181),C_72))))).
% 214.38/213.15 all B_125 A_181 C_72 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_72))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_125),A_181))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_125),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_181),C_72))))).
% 214.38/213.15 all B_125 A_181 C_72 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_72))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_125),A_181))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_125),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_181),C_72))))).
% 214.38/213.15 all B_124 C_71 A_180 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_180))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_124),C_71))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_124),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_180),C_71))))).
% 214.38/213.15 all B_124 C_71 A_180 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_180))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_124),C_71))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_124),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_180),C_71))))).
% 214.38/213.15 all B_124 C_71 A_180 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_180))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_124),C_71))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_124),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_180),C_71))))).
% 214.38/213.15 all B_124 C_71 A_180 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_180))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_124),C_71))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_124),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_180),C_71))))).
% 214.38/213.15 all B_124 C_71 A_180 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_180))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_124),C_71))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_124),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_180),C_71))))).
% 214.38/213.15 all B_124 C_71 A_180 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_180))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_124),C_71))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_124),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_180),C_71))))).
% 214.38/213.15 all Ya Xa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Xa))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Ya))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Xa),Ya)=zero_zero_rat<->Xa=zero_zero_rat&Ya=zero_zero_rat))).
% 214.38/213.15 all Ya Xa (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Xa))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Ya))-> (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Xa),Ya)=zero_z891286103de_int<->Xa=zero_z891286103de_int&Ya=zero_z891286103de_int))).
% 214.38/213.15 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ya))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),Ya)=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real))).
% 214.38/213.16 all Ya Xa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Ya))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Xa),Ya)=zero_zero_nat<->Xa=zero_zero_nat&Ya=zero_zero_nat))).
% 214.38/213.16 all Ya Xa (is_int(Ya)&is_int(Xa)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa),Ya)=zero_zero_int<->Xa=zero_zero_int&Ya=zero_zero_int)))).
% 214.38/213.16 all Ya Xa (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Xa))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Ya))-> (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,Xa),Ya)=zero_z126310315umeral<->Xa=zero_z126310315umeral&Ya=zero_z126310315umeral))).
% 214.38/213.16 all B_123 A_179 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_179))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_123))->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_179),B_123))))).
% 214.38/213.16 all B_123 A_179 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_179))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_123))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_179),B_123))))).
% 214.38/213.16 all B_123 A_179 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_179))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_123))->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_179),B_123))))).
% 214.38/213.16 all B_123 A_179 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_179))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_123))->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_179),B_123))))).
% 214.38/213.16 all B_123 A_179 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_179))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_123))->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_179),B_123))))).
% 214.38/213.16 all B_123 A_179 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_179))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_123))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_179),B_123))))).
% 214.38/213.16 all A_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),A_1)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_1),zero_zero_rat))).
% 214.38/213.16 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),A_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real))).
% 214.38/213.16 all A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int))).
% 214.38/213.16 all A_1 (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_1),A_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_1))).
% 214.38/213.16 all A_1 (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_1),A_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))).
% 214.38/213.16 all A_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,A_1),A_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))).
% 214.38/213.16 all C_70 D_21 A_178 B_122 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_178),B_122))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_70),D_21))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_178),C_70)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_122),D_21))))).
% 214.38/213.16 all C_70 D_21 A_178 B_122 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_178),B_122))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_70),D_21))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_178),C_70)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_122),D_21))))).
% 214.38/213.16 all C_70 D_21 A_178 B_122 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_178),B_122))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_70),D_21))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_178),C_70)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_122),D_21))))).
% 214.38/213.16 all C_70 D_21 A_178 B_122 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_178),B_122))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_70),D_21))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_178),C_70)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_122),D_21))))).
% 214.38/213.16 all C_70 D_21 A_178 B_122 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_178),B_122))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_70),D_21))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_178),C_70)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_122),D_21))))).
% 214.38/213.16 all C_69 D_20 A_177 B_121 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_177),B_121))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_69),D_20))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_177),C_69)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_121),D_20))))).
% 214.38/213.16 all C_69 D_20 A_177 B_121 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_177),B_121))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_69),D_20))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_177),C_69)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_121),D_20))))).
% 214.38/213.16 all C_69 D_20 A_177 B_121 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_177),B_121))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_69),D_20))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_177),C_69)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_121),D_20))))).
% 214.38/213.16 all C_69 D_20 A_177 B_121 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_177),B_121))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_69),D_20))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_177),C_69)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_121),D_20))))).
% 214.38/213.16 all C_69 D_20 A_177 B_121 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_177),B_121))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_69),D_20))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_177),C_69)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_121),D_20))))).
% 214.38/213.16 all Xa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,Xa)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls))).
% 214.38/213.16 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,Xa)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls))).
% 214.38/213.16 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,Xa)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),pls))).
% 214.38/213.16 all Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_int_rat(number_number_of_rat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya))).
% 214.38/213.16 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(number267125858f_real,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya))).
% 214.38/213.16 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),Ya))).
% 214.38/213.16 all A_176 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,zero_zero_rat),A_176))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_176),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_176),N_39)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_176),N_40)))))).
% 214.38/213.16 all A_176 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,zero_z891286103de_int),A_176))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_176),one_on1684967323de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_176),N_39)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_176),N_40)))))).
% 214.38/213.16 all A_176 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,zero_z126310315umeral),A_176))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_176),one_on1645066479umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_176),N_39)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_176),N_40)))))).
% 214.38/213.16 all A_176 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,zero_zero_real),A_176))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_176),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_176),N_39)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_176),N_40)))))).
% 214.38/213.16 all A_176 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,zero_zero_nat),A_176))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_176),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_176),N_39)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_176),N_40)))))).
% 214.38/213.16 all A_176 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,zero_zero_int),A_176))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_176),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_176),N_39)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_176),N_40)))))).
% 214.38/213.16 all M_20 N_38 A_175 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_175))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_175),M_20)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_175),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_20),N_38)))).
% 214.38/213.16 all M_20 N_38 A_175 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_175))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_175),M_20)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_175),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_20),N_38)))).
% 214.38/213.16 all M_20 N_38 A_175 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_175))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_175),M_20)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_175),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_20),N_38)))).
% 214.38/213.16 all M_20 N_38 A_175 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_175))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_175),M_20)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_175),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_20),N_38)))).
% 214.38/213.16 all M_20 N_38 A_175 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_175))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_175),M_20)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_175),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_20),N_38)))).
% 214.38/213.16 all M_20 N_38 A_175 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_175))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_175),M_20)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_175),N_38)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_20),N_38)))).
% 214.38/213.16 all Xa Ya B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),B_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_1),Xa)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 214.38/213.16 all Xa Ya B_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),B_1))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_1),Xa)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 214.38/213.16 all Xa Ya B_1 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),B_1))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_1),Xa)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 214.38/213.16 all Xa Ya B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),B_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_1),Xa)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 214.38/213.16 all Xa Ya B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 214.38/213.16 all Xa Ya B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),Xa)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya)))).
% 214.38/213.16 all Xa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,Xa)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),hAPP_int_int(bit1,pls)))).
% 214.38/213.16 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,Xa)),one_one_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),hAPP_int_int(bit1,pls)))).
% 214.38/213.16 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,Xa)),one_one_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),hAPP_int_int(bit1,pls)))).
% 214.38/213.16 all Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,pls)),Ya))).
% 214.38/213.16 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_int_real(number267125858f_real,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,pls)),Ya))).
% 214.38/213.16 all Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_int_int(number_number_of_int,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,pls)),Ya))).
% 214.38/213.16 all B_120 A_174 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_174),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_120),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_174),B_120)),zero_zero_rat)))).
% 214.38/213.16 all B_120 A_174 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_174),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_120),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_174),B_120)),zero_z891286103de_int)))).
% 214.38/213.16 all B_120 A_174 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_174),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_120),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_174),B_120)),zero_zero_real)))).
% 214.38/213.16 all B_120 A_174 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_174),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_120),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_174),B_120)),zero_zero_nat)))).
% 214.38/213.16 all B_120 A_174 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_174),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_120),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_174),B_120)),zero_zero_int)))).
% 214.38/213.16 all B_120 A_174 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_174),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_120),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_174),B_120)),zero_z126310315umeral)))).
% 214.38/213.16 all B_119 A_173 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_173),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_119),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_173),B_119)),zero_zero_rat)))).
% 214.38/213.16 all B_119 A_173 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_173),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_119),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_173),B_119)),zero_z891286103de_int)))).
% 214.38/213.16 all B_119 A_173 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_173),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_119),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_173),B_119)),zero_zero_real)))).
% 214.38/213.16 all B_119 A_173 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_173),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_119),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_173),B_119)),zero_zero_nat)))).
% 214.38/213.16 all B_119 A_173 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_173),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_119),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_173),B_119)),zero_zero_int)))).
% 214.38/213.16 all B_119 A_173 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_173),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_119),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_173),B_119)),zero_z126310315umeral)))).
% 214.38/213.16 all B_118 C_68 A_172 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_172))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_118),C_68))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_118),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_172),C_68))))).
% 214.38/213.16 all B_118 C_68 A_172 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_172))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_118),C_68))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_118),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_172),C_68))))).
% 214.38/213.16 all B_118 C_68 A_172 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_172))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_118),C_68))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_118),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_172),C_68))))).
% 214.38/213.16 all B_118 C_68 A_172 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_172))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_118),C_68))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_118),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_172),C_68))))).
% 214.38/213.16 all B_118 C_68 A_172 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_172))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_118),C_68))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_118),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_172),C_68))))).
% 214.38/213.16 all B_118 C_68 A_172 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_172))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_118),C_68))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_118),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_172),C_68))))).
% 214.38/213.16 all B_117 C_67 A_171 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_171))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_117),C_67))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_117),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_171),C_67))))).
% 214.38/213.16 all B_117 C_67 A_171 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_171))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_117),C_67))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_117),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_171),C_67))))).
% 214.38/213.16 all B_117 C_67 A_171 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_171))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_117),C_67))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_117),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_171),C_67))))).
% 214.38/213.16 all B_117 C_67 A_171 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_171))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_117),C_67))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_117),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_171),C_67))))).
% 214.38/213.16 all B_117 C_67 A_171 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_171))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_117),C_67))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_117),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_171),C_67))))).
% 214.38/213.16 all B_117 C_67 A_171 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_171))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_117),C_67))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_117),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_171),C_67))))).
% 214.38/213.16 all B_116 A_170 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_170))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_116))->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_170),B_116))))).
% 214.38/213.16 all B_116 A_170 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_170))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_116))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_170),B_116))))).
% 214.38/213.16 all B_116 A_170 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_170))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_116))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_170),B_116))))).
% 214.38/213.16 all B_116 A_170 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_170))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_116))->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_170),B_116))))).
% 214.38/213.16 all B_116 A_170 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_170))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_116))->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_170),B_116))))).
% 214.38/213.16 all B_116 A_170 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_170))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_116))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_170),B_116))))).
% 214.38/213.16 all B_115 A_169 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_169))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_115))->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_169),B_115))))).
% 214.38/213.16 all B_115 A_169 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_169))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_115))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_169),B_115))))).
% 214.38/213.16 all B_115 A_169 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_169))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_115))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_169),B_115))))).
% 214.38/213.16 all B_115 A_169 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_169))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_115))->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_169),B_115))))).
% 214.38/213.16 all B_115 A_169 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_169))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_115))->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_169),B_115))))).
% 214.38/213.16 all B_115 A_169 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_169))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_115))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_169),B_115))))).
% 214.38/213.16 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),one_one_rat)).
% 214.38/213.16 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),one_on1684967323de_int)).
% 214.38/213.16 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),one_on1645066479umeral)).
% 214.38/213.16 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),one_one_real)).
% 214.38/213.16 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),one_one_nat)).
% 214.38/213.16 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 214.38/213.16 -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),zero_zero_rat)).
% 214.38/213.16 -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),zero_z891286103de_int)).
% 214.38/213.16 -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),zero_z126310315umeral)).
% 214.38/213.16 -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),zero_zero_real)).
% 214.38/213.16 -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),zero_zero_nat)).
% 214.38/213.16 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),zero_zero_int)).
% 214.38/213.16 all Va Wa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(number_number_of_rat,Va)),hAPP_int_rat(number_number_of_rat,Wa)))<-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(number_number_of_rat,Wa)),hAPP_int_rat(number_number_of_rat,Va)))).
% 214.38/213.16 all Va Wa (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_i1732201573de_int(number1226105091de_int,Va)),hAPP_i1732201573de_int(number1226105091de_int,Wa)))<-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_i1732201573de_int(number1226105091de_int,Wa)),hAPP_i1732201573de_int(number1226105091de_int,Va)))).
% 214.38/213.16 all Va Wa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,Va)),hAPP_int_real(number267125858f_real,Wa)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,Wa)),hAPP_int_real(number267125858f_real,Va)))).
% 214.38/213.16 all Va Wa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,Va)),hAPP_int_nat(number_number_of_nat,Wa)))<-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,Wa)),hAPP_int_nat(number_number_of_nat,Va)))).
% 214.38/213.16 all Va Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,Va)),hAPP_int_int(number_number_of_int,Wa)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,Wa)),hAPP_int_int(number_number_of_int,Va)))).
% 214.38/213.16 all Va Wa (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_i769753017umeral(number1443263063umeral,Va)),hAPP_i769753017umeral(number1443263063umeral,Wa)))<-> -hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_i769753017umeral(number1443263063umeral,Wa)),hAPP_i769753017umeral(number1443263063umeral,Va)))).
% 214.38/213.16 all N_37 A_168 B_114 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_168),B_114))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_168))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_168),N_37)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_114),N_37))))).
% 214.38/213.16 all N_37 A_168 B_114 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_168),B_114))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_168))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_168),N_37)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_114),N_37))))).
% 214.38/213.16 all N_37 A_168 B_114 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_168),B_114))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_168))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_168),N_37)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_114),N_37))))).
% 214.38/213.16 all N_37 A_168 B_114 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_168),B_114))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_168))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_168),N_37)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_114),N_37))))).
% 214.38/213.16 all N_37 A_168 B_114 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_168),B_114))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_168))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_168),N_37)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_114),N_37))))).
% 214.38/213.16 all N_37 A_168 B_114 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_168),B_114))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_168))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_168),N_37)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_114),N_37))))).
% 214.38/213.16 all N_36 A_167 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_167))->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_167),N_36)))).
% 214.38/213.16 all N_36 A_167 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_167))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_167),N_36)))).
% 214.38/213.16 all N_36 A_167 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_167))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_167),N_36)))).
% 214.38/213.16 all N_36 A_167 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_167))->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_167),N_36)))).
% 214.38/213.16 all N_36 A_167 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_167))->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_167),N_36)))).
% 214.38/213.16 all N_36 A_167 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_167))->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_167),N_36)))).
% 214.38/213.16 all N_35 A_166 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,one_one_rat),A_166))->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_166),N_35)))).
% 214.38/213.16 all N_35 A_166 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),A_166))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,one_on1684967323de_int),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_166),N_35)))).
% 214.38/213.16 all N_35 A_166 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),A_166))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,one_on1645066479umeral),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_166),N_35)))).
% 214.38/213.16 all N_35 A_166 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),A_166))->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_166),N_35)))).
% 214.38/213.16 all N_35 A_166 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),A_166))->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_166),N_35)))).
% 214.38/213.16 all N_35 A_166 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),A_166))->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_166),N_35)))).
% 214.38/213.16 all N_34 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_nat_rat(semiri151668891at_rat,N_34))).
% 214.38/213.16 all N_34 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_n522471361de_int(semiri1424489471de_int,N_34))).
% 214.38/213.16 all N_34 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_n1108039445umeral(semiri1619134803umeral,N_34))).
% 214.38/213.16 all N_34 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,N_34))).
% 214.38/213.16 all N_34 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,N_34))).
% 214.38/213.16 all N_34 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N_34))).
% 214.38/213.16 all M_19 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_nat_rat(semiri151668891at_rat,M_19))).
% 214.38/213.16 all M_19 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_n522471361de_int(semiri1424489471de_int,M_19))).
% 214.38/213.16 all M_19 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_n1108039445umeral(semiri1619134803umeral,M_19))).
% 214.38/213.16 all M_19 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(semiri132038758t_real,M_19))).
% 214.38/213.16 all M_19 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),hAPP_nat_nat(semiri984289939at_nat,M_19))).
% 214.38/213.16 all M_19 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,M_19))).
% 214.38/213.16 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit1,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K))).
% 214.38/213.16 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))).
% 214.38/213.16 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L))).
% 214.38/213.16 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),pls))).
% 214.38/213.16 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),hAPP_int_int(bit0,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K))).
% 214.38/213.16 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),one_one_int)).
% 214.38/213.16 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))))).
% 214.38/213.16 all Z_4 Z_1 W_9 W (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,W_9),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_9),Z_4)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1))))).
% 214.38/213.16 all N hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(semiri1621563631at_int,N))).
% 214.38/213.16 all P_1 ((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(P_1,X_1)))))<-> (all X_1 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))))).
% 214.38/213.16 all P_1 ((exists 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(P_1,X_1))))<-> (exists X_1 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,X_1))))).
% 214.38/213.16 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))).
% 214.38/213.16 all N X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N)))).
% 214.38/213.16 all Wa Z_2 (is_int(Z_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_2))<-> (exists N_1 (Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Wa),hAPP_nat_int(semiri1621563631at_int,N_1)))))).
% 214.38/213.16 all V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_21)),one_one_rat)=hAPP_int_rat(number_number_of_rat,hAPP_int_int(succ,V_21))).
% 214.38/213.16 all V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_21)),one_one_complex)=hAPP_int_complex(number528085621omplex,hAPP_int_int(succ,V_21))).
% 214.38/213.16 all V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_21)),one_one_real)=hAPP_int_real(number267125858f_real,hAPP_int_int(succ,V_21))).
% 214.38/213.16 all V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_21)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_21))).
% 214.38/213.16 all V_21 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_21))->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_21)),one_one_int)=hAPP_int_int(number_number_of_int,hAPP_int_int(succ,V_21))).
% 214.38/213.16 all V_20 (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,one_one_rat),hAPP_int_rat(number_number_of_rat,V_20))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(succ,V_20))).
% 214.38/213.16 all V_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_20))->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),hAPP_int_complex(number528085621omplex,V_20))=hAPP_int_complex(number528085621omplex,hAPP_int_int(succ,V_20))).
% 214.38/213.16 all V_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_20))->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_int_real(number267125858f_real,V_20))=hAPP_int_real(number267125858f_real,hAPP_int_int(succ,V_20))).
% 214.38/213.16 all V_20 (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,one_one_nat),hAPP_int_nat(number_number_of_nat,V_20))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_20))).
% 214.38/213.16 all V_20 (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,one_one_int),hAPP_int_int(number_number_of_int,V_20))=hAPP_int_int(number_number_of_int,hAPP_int_int(succ,V_20))).
% 214.38/213.16 all A_165 N_33 B_113 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_165),N_33)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_113),N_33)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_113))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_165),B_113)))).
% 214.38/213.16 all A_165 N_33 B_113 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_165),N_33)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_113),N_33)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_113))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_165),B_113)))).
% 214.38/213.16 all A_165 N_33 B_113 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_165),N_33)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_113),N_33)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_113))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_165),B_113)))).
% 214.38/213.16 all A_165 N_33 B_113 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_165),N_33)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_113),N_33)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_113))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_165),B_113)))).
% 214.38/213.16 all A_165 N_33 B_113 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_165),N_33)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_113),N_33)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_113))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_165),B_113)))).
% 214.38/213.16 all A_165 N_33 B_113 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_165),N_33)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_113),N_33)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_113))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_165),B_113)))).
% 214.38/213.16 all Va (hAPP_int_nat(number_number_of_nat,Va)=zero_zero_nat<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls))).
% 214.38/213.16 all Va (zero_zero_nat=hAPP_int_nat(number_number_of_nat,Va)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls))).
% 214.38/213.16 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K)),pls))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),pls))).
% 214.38/213.16 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),hAPP_int_int(bit1,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),K))).
% 214.38/213.16 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))).
% 214.38/213.16 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K)),hAPP_int_int(bit0,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))).
% 214.38/213.16 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))).
% 214.38/213.16 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K)),hAPP_int_int(bit1,L)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L))).
% 214.38/213.16 all Xa (zero_zero_rat=Xa<->Xa=zero_zero_rat).
% 214.38/213.16 all Xa (zero_z891286103de_int=Xa<->Xa=zero_z891286103de_int).
% 214.38/213.16 all Xa (zero_zero_complex=Xa<->Xa=zero_zero_complex).
% 214.38/213.16 all Xa (zero_z126310315umeral=Xa<->Xa=zero_z126310315umeral).
% 214.38/213.16 all Xa (zero_zero_real=Xa<->Xa=zero_zero_real).
% 214.38/213.16 all Xa (zero_zero_nat=Xa<->Xa=zero_zero_nat).
% 214.38/213.16 all Xa (is_int(Xa)-> (zero_zero_int=Xa<->Xa=zero_zero_int)).
% 214.38/213.16 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))).
% 214.38/213.16 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),zero_zero_int))<->Na=zero_zero_nat).
% 214.38/213.16 hAPP_int_int(succ,pls)=hAPP_int_int(bit1,pls).
% 214.38/213.16 all K_2 (hAPP_int_int(succ,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit0,hAPP_int_int(succ,K_2))).
% 214.38/213.16 all K_2 (hAPP_int_int(succ,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit1,K_2)).
% 214.38/213.16 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))).
% 214.38/213.16 all Wa 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,Wa),one_one_int)),Z_2))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_2))).
% 214.38/213.16 all Wa Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),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,Wa),Z_2))).
% 214.38/213.16 all B_112 A_164 C_66 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_112),A_164)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_66),A_164)->B_112=C_66).
% 214.38/213.16 all B_112 A_164 C_66 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_112),A_164)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_66),A_164)->B_112=C_66).
% 214.38/213.16 all B_112 A_164 C_66 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_112),A_164)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_66),A_164)->B_112=C_66).
% 214.38/213.16 all B_112 A_164 C_66 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_112),A_164)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_66),A_164)->B_112=C_66).
% 214.38/213.16 all B_112 A_164 C_66 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_112),A_164)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_66),A_164)->B_112=C_66).
% 214.38/213.16 all B_112 A_164 C_66 (is_int(B_112)&is_int(C_66)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_112),A_164)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_66),A_164)->B_112=C_66)).
% 214.38/213.16 all A_163 B_111 C_65 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_163),B_111)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_163),C_65)->B_111=C_65).
% 214.38/213.16 all A_163 B_111 C_65 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_163),B_111)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_163),C_65)->B_111=C_65).
% 214.38/213.16 all A_163 B_111 C_65 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_163),B_111)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_163),C_65)->B_111=C_65).
% 214.38/213.16 all A_163 B_111 C_65 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_163),B_111)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_163),C_65)->B_111=C_65).
% 214.38/213.16 all A_163 B_111 C_65 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_163),B_111)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_163),C_65)->B_111=C_65).
% 214.38/213.16 all A_163 B_111 C_65 (is_int(B_111)&is_int(C_65)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_163),B_111)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_163),C_65)->B_111=C_65)).
% 214.38/213.16 all A_162 B_110 C_64 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_162),B_110)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_162),C_64)->B_110=C_64).
% 214.38/213.16 all A_162 B_110 C_64 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_162),B_110)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_162),C_64)->B_110=C_64).
% 214.38/213.16 all A_162 B_110 C_64 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_162),B_110)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_162),C_64)->B_110=C_64).
% 214.38/213.16 all A_162 B_110 C_64 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_162),B_110)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_162),C_64)->B_110=C_64).
% 214.38/213.16 all A_162 B_110 C_64 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_162),B_110)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_162),C_64)->B_110=C_64).
% 214.38/213.16 all A_162 B_110 C_64 (is_int(B_110)&is_int(C_64)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_162),B_110)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_162),C_64)->B_110=C_64)).
% 214.38/213.16 all A_161 B_109 C_63 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_161),B_109)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_63),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_161),C_63)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_109),D_19))).
% 214.38/213.16 all A_161 B_109 C_63 D_19 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_161),B_109)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_63),D_19))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_161),C_63)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_109),D_19))).
% 214.38/213.16 all A_161 B_109 C_63 D_19 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_161),B_109)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_63),D_19))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_161),C_63)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_109),D_19))).
% 214.38/213.16 all A_161 B_109 C_63 D_19 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_161),B_109)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_63),D_19))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_161),C_63)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_109),D_19))).
% 214.38/213.16 all A_161 B_109 C_63 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_161),B_109)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_63),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_161),C_63)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_109),D_19))).
% 214.38/213.16 all A_161 B_109 C_63 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_161),B_109)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_63),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_161),C_63)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_109),D_19))).
% 214.38/213.16 all B_1 A_1 C (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_1),A_1)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),A_1)<->B_1=C).
% 214.38/213.16 all B_1 A_1 C (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_1),A_1)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),A_1)<->B_1=C).
% 214.38/213.16 all B_1 A_1 C (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_1),A_1)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C),A_1)<->B_1=C).
% 214.38/213.16 all B_1 A_1 C (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_1),A_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),A_1)<->B_1=C).
% 214.38/213.16 all B_1 A_1 C (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_1),A_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A_1)<->B_1=C).
% 214.38/213.16 all B_1 A_1 C (is_int(B_1)&is_int(C)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),A_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A_1)<->B_1=C)).
% 214.38/213.16 all A_1 B_1 C (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),B_1)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),C)<->B_1=C).
% 214.38/213.16 all A_1 B_1 C (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_1),B_1)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_1),C)<->B_1=C).
% 214.38/213.16 all A_1 B_1 C (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_1),B_1)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_1),C)<->B_1=C).
% 214.38/213.16 all A_1 B_1 C (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),B_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),C)<->B_1=C).
% 214.38/213.16 all A_1 B_1 C (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_1),B_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_1),C)<->B_1=C).
% 214.38/213.16 all A_1 B_1 C (is_int(B_1)&is_int(C)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),B_1)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),C)<->B_1=C)).
% 214.38/213.16 all A_160 B_108 C_62 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_160),B_108)),C_62)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_160),C_62)),B_108)).
% 214.38/213.16 all A_160 B_108 C_62 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_160),B_108)),C_62)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_160),C_62)),B_108)).
% 214.38/213.16 all A_160 B_108 C_62 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_160),B_108)),C_62)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_160),C_62)),B_108)).
% 214.38/213.16 all A_160 B_108 C_62 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_160),B_108)),C_62)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_160),C_62)),B_108)).
% 214.38/213.16 all A_160 B_108 C_62 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_160),B_108)),C_62)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_160),C_62)),B_108)).
% 214.38/213.16 all A_160 B_108 C_62 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_160),B_108)),C_62)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_160),C_62)),B_108)).
% 214.38/213.16 all A_159 B_107 C_61 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_159),B_107)),C_61)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_159),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_107),C_61))).
% 214.38/213.16 all A_159 B_107 C_61 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_159),B_107)),C_61)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_159),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_107),C_61))).
% 214.38/213.16 all A_159 B_107 C_61 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_159),B_107)),C_61)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_159),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_107),C_61))).
% 214.38/213.16 all A_159 B_107 C_61 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_159),B_107)),C_61)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_159),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_107),C_61))).
% 214.38/213.16 all A_159 B_107 C_61 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_159),B_107)),C_61)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_159),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_107),C_61))).
% 214.38/213.16 all A_159 B_107 C_61 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_159),B_107)),C_61)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_159),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_107),C_61))).
% 214.38/213.16 all A_158 B_106 C_60 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_158),B_106)),C_60)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_158),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_106),C_60))).
% 214.38/213.16 all A_158 B_106 C_60 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_158),B_106)),C_60)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_158),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_106),C_60))).
% 214.38/213.16 all A_158 B_106 C_60 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_158),B_106)),C_60)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_158),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_106),C_60))).
% 214.38/213.16 all A_158 B_106 C_60 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_158),B_106)),C_60)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_158),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_106),C_60))).
% 214.38/213.16 all A_158 B_106 C_60 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_158),B_106)),C_60)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_158),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_106),C_60))).
% 214.38/213.16 all A_158 B_106 C_60 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_158),B_106)),C_60)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_158),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_106),C_60))).
% 214.38/213.16 all A_157 C_59 D_18 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_157),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_59),D_18))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_157),C_59)),D_18)).
% 214.38/213.16 all A_157 C_59 D_18 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_157),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_59),D_18))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_157),C_59)),D_18)).
% 214.38/213.16 all A_157 C_59 D_18 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_157),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_59),D_18))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_157),C_59)),D_18)).
% 214.38/213.16 all A_157 C_59 D_18 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_157),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_59),D_18))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_157),C_59)),D_18)).
% 214.38/213.16 all A_157 C_59 D_18 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_157),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_59),D_18))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_157),C_59)),D_18)).
% 214.38/213.16 all A_157 C_59 D_18 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_157),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_59),D_18))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_157),C_59)),D_18)).
% 214.38/213.16 all A_156 C_58 D_17 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_156),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_58),D_17))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_58),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_156),D_17))).
% 214.38/213.16 all A_156 C_58 D_17 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_156),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_58),D_17))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_58),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_156),D_17))).
% 214.38/213.16 all A_156 C_58 D_17 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_156),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_58),D_17))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_58),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_156),D_17))).
% 214.38/213.16 all A_156 C_58 D_17 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_156),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_58),D_17))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_58),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_156),D_17))).
% 214.38/213.16 all A_156 C_58 D_17 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_156),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_58),D_17))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_58),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_156),D_17))).
% 214.38/213.16 all A_156 C_58 D_17 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_156),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_58),D_17))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_58),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_156),D_17))).
% 214.38/213.16 all A_155 C_57 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_155),C_57)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_57),A_155)).
% 214.38/213.16 all A_155 C_57 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_155),C_57)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_57),A_155)).
% 214.38/213.16 all A_155 C_57 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_155),C_57)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,C_57),A_155)).
% 214.38/213.16 all A_155 C_57 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_155),C_57)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_57),A_155)).
% 214.38/213.16 all A_155 C_57 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_155),C_57)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_57),A_155)).
% 214.38/213.16 all A_155 C_57 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_155),C_57)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_57),A_155)).
% 214.38/213.16 all Xa (one_one_rat=Xa<->Xa=one_one_rat).
% 214.38/213.16 all Xa (one_on1684967323de_int=Xa<->Xa=one_on1684967323de_int).
% 214.38/213.16 all Xa (one_one_complex=Xa<->Xa=one_one_complex).
% 214.38/213.16 all Xa (one_on1645066479umeral=Xa<->Xa=one_on1645066479umeral).
% 214.38/213.16 all Xa (one_one_real=Xa<->Xa=one_one_real).
% 214.38/213.16 all Xa (one_one_nat=Xa<->Xa=one_one_nat).
% 214.38/213.16 all Xa (is_int(Xa)-> (one_one_int=Xa<->Xa=one_one_int)).
% 214.38/213.16 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)).
% 214.38/213.16 all A_154 N_32 B_105 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_154),N_32)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_105),N_32)-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_154))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_105))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32))->A_154=B_105)))).
% 214.38/213.16 all A_154 N_32 B_105 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_154),N_32)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_105),N_32)-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_154))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_105))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32))->A_154=B_105)))).
% 214.38/213.16 all A_154 N_32 B_105 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_154),N_32)=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_105),N_32)-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_154))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_105))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32))->A_154=B_105)))).
% 214.38/213.16 all A_154 N_32 B_105 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_154),N_32)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_105),N_32)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_154))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_105))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32))->A_154=B_105)))).
% 214.38/213.16 all A_154 N_32 B_105 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_154),N_32)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_105),N_32)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_154))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_105))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32))->A_154=B_105)))).
% 214.38/213.16 all A_154 N_32 B_105 (is_int(A_154)&is_int(B_105)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_154),N_32)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_105),N_32)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_154))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_105))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_32))->A_154=B_105))))).
% 214.38/213.16 all V_19 V_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_18)),hAPP_int_rat(number_number_of_rat,V_19))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_18),V_19)))).
% 214.38/213.16 all V_19 V_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_18)),hAPP_int_complex(number528085621omplex,V_19))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_18),V_19)))).
% 214.38/213.16 all V_19 V_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_18)),hAPP_int_real(number267125858f_real,V_19))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_18),V_19)))).
% 214.38/213.16 all V_19 V_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_18)),hAPP_int_nat(number_number_of_nat,V_19))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_18),V_19)))).
% 214.38/213.16 all V_19 V_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_19))->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_18)),hAPP_int_int(number_number_of_int,V_19))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_18),V_19)))).
% 214.38/213.16 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))))).
% 214.38/213.16 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)))).
% 214.38/213.16 all K_8 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(succ,K_8))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,one_one_rat),hAPP_int_rat(number_number_of_rat,K_8))).
% 214.38/213.16 all K_8 (hAPP_int_complex(number528085621omplex,hAPP_int_int(succ,K_8))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),hAPP_int_complex(number528085621omplex,K_8))).
% 214.38/213.16 all K_8 (hAPP_int_real(number267125858f_real,hAPP_int_int(succ,K_8))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),hAPP_int_real(number267125858f_real,K_8))).
% 214.38/213.16 all K_8 (hAPP_int_int(number_number_of_int,hAPP_int_int(succ,K_8))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_int_int(number_number_of_int,K_8))).
% 214.38/213.16 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)))).
% 214.38/213.16 all N_31 A_153 B_104 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_153),B_104))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_153))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_153),N_31)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_104),N_31)))))).
% 214.38/213.16 all N_31 A_153 B_104 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_153),B_104))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_153))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_153),N_31)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_104),N_31)))))).
% 214.38/213.16 all N_31 A_153 B_104 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_153),B_104))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_153))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_153),N_31)),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,B_104),N_31)))))).
% 214.38/213.16 all N_31 A_153 B_104 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_153),B_104))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_153))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_153),N_31)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_104),N_31)))))).
% 214.38/213.16 all N_31 A_153 B_104 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_153),B_104))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_153))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_153),N_31)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_104),N_31)))))).
% 214.38/213.16 all N_31 A_153 B_104 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_153),B_104))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_153))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_31))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_153),N_31)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_104),N_31)))))).
% 214.38/213.16 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(bit0,hAPP_int_int(bit1,pls))))).
% 214.38/213.16 all X hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X),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)))))).
% 214.38/213.16 all X_61 Y_51 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_61),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_51),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_61))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_51))->X_61=Y_51))).
% 214.38/213.16 all X_61 Y_51 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_61),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_51),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_61))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),Y_51))->X_61=Y_51))).
% 214.38/213.16 all X_61 Y_51 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_61),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_51),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_61))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),Y_51))->X_61=Y_51))).
% 214.38/213.16 all X_61 Y_51 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_61),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_51),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_61))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_51))->X_61=Y_51))).
% 214.38/213.16 all X_61 Y_51 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_61),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_51),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_61))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),Y_51))->X_61=Y_51))).
% 214.38/213.16 all X_61 Y_51 (is_int(X_61)&is_int(Y_51)-> (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_61),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_51),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_61))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_51))->X_61=Y_51)))).
% 214.38/213.16 all X_60 Y_50 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_60),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_50),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_50))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_60),Y_50)))).
% 214.38/213.17 all X_60 Y_50 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_60),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_50),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_50))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_60),Y_50)))).
% 214.38/213.17 all X_60 Y_50 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_60),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_50),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_50))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,X_60),Y_50)))).
% 214.38/213.17 all X_60 Y_50 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_60),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_50),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_50))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_60),Y_50)))).
% 214.38/213.17 all X_60 Y_50 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_60),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_50),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_50))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_60),Y_50)))).
% 214.38/213.17 all X_60 Y_50 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_60),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_50),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_50))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_60),Y_50)))).
% 214.38/213.17 all A_152 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_152),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.38/213.17 all A_152 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_152),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.38/213.17 all A_152 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_152),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.38/213.17 all V_17 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_17)))->hAPP_nat_rat(semiri151668891at_rat,hAPP_int_nat(number_number_of_nat,V_17))=hAPP_int_rat(number_number_of_rat,V_17))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_17)))->hAPP_nat_rat(semiri151668891at_rat,hAPP_int_nat(number_number_of_nat,V_17))=zero_zero_rat)).
% 214.38/213.17 all V_17 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_17)))->hAPP_nat_complex(semiri2020571505omplex,hAPP_int_nat(number_number_of_nat,V_17))=hAPP_int_complex(number528085621omplex,V_17))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_17)))->hAPP_nat_complex(semiri2020571505omplex,hAPP_int_nat(number_number_of_nat,V_17))=zero_zero_complex)).
% 214.38/213.17 all V_17 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_17)))->hAPP_nat_real(semiri132038758t_real,hAPP_int_nat(number_number_of_nat,V_17))=hAPP_int_real(number267125858f_real,V_17))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_17)))->hAPP_nat_real(semiri132038758t_real,hAPP_int_nat(number_number_of_nat,V_17))=zero_zero_real)).
% 214.38/213.17 all V_17 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_17)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_17))=hAPP_int_int(number_number_of_int,V_17))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_17)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_17))=zero_zero_int)).
% 214.38/213.17 all B_1 A_1 (B_1=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_1),A_1)<->A_1=zero_zero_rat).
% 214.38/213.17 all B_1 A_1 (B_1=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_1),A_1)<->A_1=zero_zero_complex).
% 214.38/213.17 all B_1 A_1 (B_1=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_1),A_1)<->A_1=zero_zero_real).
% 214.38/213.17 all B_1 A_1 (B_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_1),A_1)<->A_1=zero_zero_nat).
% 214.38/213.17 all B_1 A_1 (is_int(B_1)&is_int(A_1)-> (B_1=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),A_1)<->A_1=zero_zero_int)).
% 214.38/213.17 all A_151 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_151),zero_zero_rat)=A_151).
% 214.38/213.17 all A_151 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_151),zero_z891286103de_int)=A_151).
% 214.38/213.17 all A_151 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_151),zero_zero_complex)=A_151).
% 214.38/213.17 all A_151 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_151),zero_zero_real)=A_151).
% 214.38/213.17 all A_151 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_151),zero_zero_nat)=A_151).
% 214.38/213.17 all A_151 (is_int(A_151)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_151),zero_zero_int)=A_151).
% 214.38/213.17 all A_151 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_151),zero_z126310315umeral)=A_151).
% 214.38/213.17 all A_150 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_150),zero_zero_rat)=A_150).
% 214.38/213.17 all A_150 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_150),zero_z891286103de_int)=A_150).
% 214.38/213.17 all A_150 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_150),zero_zero_complex)=A_150).
% 214.38/213.17 all A_150 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_150),zero_zero_real)=A_150).
% 214.38/213.17 all A_150 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_150),zero_zero_nat)=A_150).
% 214.38/213.17 all A_150 (is_int(A_150)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_150),zero_zero_int)=A_150).
% 214.38/213.17 all A_150 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_150),zero_z126310315umeral)=A_150).
% 214.38/213.17 all A_149 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_149),zero_zero_rat)=A_149).
% 214.38/213.17 all A_149 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_149),zero_z891286103de_int)=A_149).
% 214.38/213.17 all A_149 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_149),zero_zero_complex)=A_149).
% 214.38/213.17 all A_149 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_149),zero_zero_real)=A_149).
% 214.38/213.17 all A_149 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_149),zero_zero_nat)=A_149).
% 214.38/213.17 all A_149 (is_int(A_149)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_149),zero_zero_int)=A_149).
% 214.38/213.17 all A_149 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_149),zero_z126310315umeral)=A_149).
% 214.38/213.17 all A_1 (zero_zero_rat=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),A_1)<->A_1=zero_zero_rat).
% 214.38/213.17 all A_1 (zero_zero_real=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),A_1)<->A_1=zero_zero_real).
% 214.38/213.17 all A_1 (is_int(A_1)-> (zero_zero_int=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),A_1)<->A_1=zero_zero_int)).
% 214.38/213.17 all A_148 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_148)=A_148).
% 214.38/213.17 all A_148 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_148)=A_148).
% 214.38/213.17 all A_148 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_148)=A_148).
% 214.38/213.17 all A_148 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_148)=A_148).
% 214.38/213.17 all A_148 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_148)=A_148).
% 214.38/213.17 all A_148 (is_int(A_148)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_148)=A_148).
% 214.38/213.17 all A_148 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_148)=A_148).
% 214.38/213.17 all A_147 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_147)=A_147).
% 214.38/213.17 all A_147 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_147)=A_147).
% 214.38/213.17 all A_147 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_147)=A_147).
% 214.38/213.17 all A_147 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_147)=A_147).
% 214.38/213.17 all A_147 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_147)=A_147).
% 214.38/213.17 all A_147 (is_int(A_147)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_147)=A_147).
% 214.38/213.17 all A_147 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_147)=A_147).
% 214.38/213.17 all A_146 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,zero_zero_rat),A_146)=A_146).
% 214.38/213.17 all A_146 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,zero_z891286103de_int),A_146)=A_146).
% 214.38/213.17 all A_146 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,zero_zero_complex),A_146)=A_146).
% 214.38/213.17 all A_146 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,zero_zero_real),A_146)=A_146).
% 214.38/213.17 all A_146 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,zero_zero_nat),A_146)=A_146).
% 214.38/213.17 all A_146 (is_int(A_146)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,zero_zero_int),A_146)=A_146).
% 214.38/213.17 all A_146 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,zero_z126310315umeral),A_146)=A_146).
% 214.38/213.17 all C_56 A_145 B_103 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_56),A_145)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_56),B_103)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_145),B_103))).
% 214.38/213.17 all C_56 A_145 B_103 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_56),A_145)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_56),B_103)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_145),B_103))).
% 214.38/213.17 all C_56 A_145 B_103 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_56),A_145)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_56),B_103)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_145),B_103))).
% 214.38/213.17 all C_56 A_145 B_103 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_56),A_145)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_56),B_103)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_145),B_103))).
% 214.38/213.17 all C_56 A_145 B_103 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_56),A_145)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_56),B_103)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_145),B_103))).
% 214.38/213.17 all A_144 C_55 B_102 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_144),C_55)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_102),C_55)))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_144),B_102))).
% 214.38/213.17 all A_144 C_55 B_102 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_144),C_55)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_102),C_55)))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_144),B_102))).
% 214.38/213.17 all A_144 C_55 B_102 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_144),C_55)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_102),C_55)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_144),B_102))).
% 214.38/213.17 all A_144 C_55 B_102 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_144),C_55)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_102),C_55)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_144),B_102))).
% 214.38/213.17 all A_144 C_55 B_102 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_144),C_55)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_102),C_55)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_144),B_102))).
% 214.38/213.17 all C_54 D_16 A_143 B_101 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_143),B_101))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_54),D_16))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_143),C_54)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_101),D_16))))).
% 214.38/213.17 all C_54 D_16 A_143 B_101 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_143),B_101))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_54),D_16))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_143),C_54)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_101),D_16))))).
% 214.38/213.17 all C_54 D_16 A_143 B_101 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_143),B_101))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_54),D_16))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_143),C_54)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_101),D_16))))).
% 214.38/213.17 all C_54 D_16 A_143 B_101 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_143),B_101))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_54),D_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_143),C_54)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_101),D_16))))).
% 214.38/213.17 all C_54 D_16 A_143 B_101 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_143),B_101))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_54),D_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_143),C_54)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_101),D_16))))).
% 214.38/213.17 all C_53 A_142 B_100 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_142),B_100))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_53),A_142)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_53),B_100)))).
% 214.38/213.17 all C_53 A_142 B_100 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_142),B_100))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_53),A_142)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C_53),B_100)))).
% 214.38/213.17 all C_53 A_142 B_100 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_142),B_100))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_53),A_142)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_53),B_100)))).
% 214.38/213.17 all C_53 A_142 B_100 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_142),B_100))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_53),A_142)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C_53),B_100)))).
% 214.38/213.17 all C_53 A_142 B_100 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_142),B_100))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_53),A_142)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_53),B_100)))).
% 214.38/213.17 all C_52 A_141 B_99 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_141),B_99))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_141),C_52)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_99),C_52)))).
% 214.38/213.17 all C_52 A_141 B_99 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_141),B_99))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_141),C_52)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_99),C_52)))).
% 214.38/213.17 all C_52 A_141 B_99 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_141),B_99))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_141),C_52)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_99),C_52)))).
% 214.38/213.17 all C_52 A_141 B_99 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_141),B_99))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_141),C_52)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_99),C_52)))).
% 214.38/213.17 all C_52 A_141 B_99 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_141),B_99))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_141),C_52)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_99),C_52)))).
% 214.38/213.17 all C A_1 B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),A_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C),B_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_1),B_1))).
% 214.38/213.17 all C A_1 B_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),A_1)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,C),B_1)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_1),B_1))).
% 214.38/213.17 all C A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),A_1)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))).
% 214.38/213.17 all C A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),A_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,C),B_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_1))).
% 214.38/213.17 all C A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),A_1)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1))).
% 214.38/213.17 all A_1 C B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_1),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_1),C)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_1),B_1))).
% 214.38/213.17 all A_1 C B_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_1),C)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_1),C)))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_1),B_1))).
% 214.38/213.17 all A_1 C B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_1),C)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))).
% 214.38/213.17 all A_1 C B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_1),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_1),C)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_1))).
% 214.38/213.17 all A_1 C B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),C)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_1),C)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1))).
% 214.38/213.17 all X_59 Y_49 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_59),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_49),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_49))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_59),Y_49)))).
% 214.38/213.17 all X_59 Y_49 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_59),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_49),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_49))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_59),Y_49)))).
% 214.38/213.17 all X_59 Y_49 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_59),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,Y_49),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_49))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,X_59),Y_49)))).
% 214.38/213.17 all X_59 Y_49 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_59),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_49),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_49))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_59),Y_49)))).
% 214.38/213.17 all X_59 Y_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_59),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_49),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_49))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_59),Y_49)))).
% 214.38/213.17 all X_59 Y_49 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_59),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_49),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_49))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_59),Y_49)))).
% 214.38/213.17 all Xa Ya (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,Xa),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,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_rat))<->Xa=zero_zero_rat&Ya=zero_zero_rat).
% 214.38/213.17 all Xa Ya (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,Xa),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)))))),zero_zero_real))<->Xa=zero_zero_real&Ya=zero_zero_real).
% 214.38/213.17 all Xa Ya (is_int(Xa)&is_int(Ya)-> (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,Xa),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,Ya),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),zero_zero_int))<->Xa=zero_zero_int&Ya=zero_zero_int)).
% 214.38/213.17 all X_58 Y_48 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_58),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_48),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.38/213.17 all X_58 Y_48 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_58),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_48),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.38/213.17 all X_58 Y_48 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_58),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_48),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.38/213.17 all X_57 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_57),one_one_nat)=X_57).
% 214.38/213.17 all X_57 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_57),one_one_nat)=X_57).
% 214.38/213.17 all X_57 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_57),one_one_nat)=X_57).
% 214.38/213.17 all X_57 (is_int(X_57)->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_57),one_one_nat)=X_57).
% 214.38/213.17 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_int,X),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->X=zero_zero_int|X=one_one_int))).
% 214.38/213.17 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ma),Na)=zero_zero_nat<->Na!=zero_zero_nat&Ma=zero_zero_nat).
% 214.38/213.17 all V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_1)),one_one_nat)=one_one_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_1)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_1)))).
% 214.38/213.17 all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,N)))->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))))&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))))).
% 214.38/213.17 all A_3 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),A_3))-> (exists 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,X_1),N)=A_3& (all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y_1))&hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_1),N)=A_3->Y_1=X_1)))))).
% 214.38/213.17 all A_3 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),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)=A_3)))).
% 214.38/213.17 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,pls))).
% 214.38/213.17 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))))).
% 214.38/213.17 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_1 (K_2!=hAPP_nat_int(semiri1621563631at_int,N_1))))).
% 214.38/213.17 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_1 (K_2=hAPP_nat_int(semiri1621563631at_int,N_1))))).
% 214.38/213.17 all P_1 K I_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),I_1))-> (hBOOL(hAPP_int_bool(P_1,K))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),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))))).
% 214.38/213.17 all X_56 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_56),X_56)).
% 214.38/213.17 all Xa hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Xa)).
% 214.38/213.17 all Xa hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Xa)).
% 214.38/213.17 all X_56 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_56),X_56)).
% 214.38/213.17 all X_56 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_56),X_56)).
% 214.38/213.17 all X_56 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_56),X_56)).
% 214.38/213.17 all X_56 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_56),X_56)).
% 214.38/213.17 all A_3 B_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(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)))))).
% 214.38/213.17 all A_3 B_2 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(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)))))).
% 214.38/213.17 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 214.38/213.17 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))&Xa!=Ya).
% 214.38/213.17 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|Xa=Ya).
% 214.38/213.17 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->M=N)).
% 214.38/213.17 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)))).
% 214.38/213.17 all M N (M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 214.38/213.17 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))).
% 214.38/213.17 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),N)).
% 214.38/213.17 all A_140 B_98 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_140),B_98)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_98),A_140)).
% 214.38/213.17 all A_140 B_98 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_140),B_98)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_98),A_140)).
% 214.38/213.17 all A_140 B_98 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_140),B_98)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_98),A_140)).
% 214.38/213.17 all A_140 B_98 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_140),B_98)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_98),A_140)).
% 214.38/213.17 all A_140 B_98 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_140),B_98)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_98),A_140)).
% 214.38/213.17 all A_140 B_98 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_140),B_98)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_98),A_140)).
% 214.38/213.17 all Lx_6 Rx_6 Ry_4 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_6),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,Rx_6),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_6),Ry_4))).
% 214.38/213.17 all Lx_6 Rx_6 Ry_4 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_6),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_6),Ry_4))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_6),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_6),Ry_4))).
% 214.38/213.17 all Lx_6 Rx_6 Ry_4 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_6),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_6),Ry_4))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_6),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_6),Ry_4))).
% 214.38/213.17 all Lx_6 Rx_6 Ry_4 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_6),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_6),Ry_4))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_6),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_6),Ry_4))).
% 214.38/213.17 all Lx_6 Rx_6 Ry_4 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_6),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,Rx_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_6),Ry_4))).
% 214.38/213.17 all Lx_6 Rx_6 Ry_4 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_6),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,Rx_6),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_6),Ry_4))).
% 214.38/213.17 all Lx_5 Rx_5 Ry_3 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_5),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,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx_5),Rx_5)),Ry_3)).
% 214.38/213.17 all Lx_5 Rx_5 Ry_3 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_5),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_5),Ry_3))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_5),Rx_5)),Ry_3)).
% 214.38/213.17 all Lx_5 Rx_5 Ry_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_5),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_5),Ry_3))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_5),Rx_5)),Ry_3)).
% 214.38/213.17 all Lx_5 Rx_5 Ry_3 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_5),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_5),Ry_3))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_5),Rx_5)),Ry_3)).
% 214.38/213.17 all Lx_5 Rx_5 Ry_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_5),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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx_5),Rx_5)),Ry_3)).
% 214.38/213.17 all Lx_5 Rx_5 Ry_3 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_5),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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx_5),Rx_5)),Ry_3)).
% 214.38/213.17 all A_139 B_97 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_139),B_97)),C_51)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_139),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_97),C_51))).
% 214.38/213.17 all A_139 B_97 C_51 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_139),B_97)),C_51)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_139),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_97),C_51))).
% 214.38/213.17 all A_139 B_97 C_51 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_139),B_97)),C_51)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_139),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_97),C_51))).
% 214.38/213.17 all A_139 B_97 C_51 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_139),B_97)),C_51)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_139),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_97),C_51))).
% 214.38/213.17 all A_139 B_97 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_139),B_97)),C_51)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_139),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_97),C_51))).
% 214.38/213.17 all A_139 B_97 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_139),B_97)),C_51)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_139),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_97),C_51))).
% 214.38/213.17 all Lx_4 Ly_4 Rx_4 (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_4)),Rx_4)=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_4),Rx_4))).
% 214.38/213.17 all Lx_4 Ly_4 Rx_4 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_4),Ly_4)),Rx_4)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_4),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Ly_4),Rx_4))).
% 214.38/213.17 all Lx_4 Ly_4 Rx_4 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_4),Ly_4)),Rx_4)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_4),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ly_4),Rx_4))).
% 214.38/213.17 all Lx_4 Ly_4 Rx_4 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_4),Ly_4)),Rx_4)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_4),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ly_4),Rx_4))).
% 214.38/213.17 all Lx_4 Ly_4 Rx_4 (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_4)),Rx_4)=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_4),Rx_4))).
% 214.38/213.17 all Lx_4 Ly_4 Rx_4 (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_4)),Rx_4)=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_4),Rx_4))).
% 214.38/213.17 all Lx_3 Ly_3 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_3)),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_3)).
% 214.38/213.17 all Lx_3 Ly_3 Rx_3 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_3),Ly_3)),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_3)).
% 214.38/213.17 all Lx_3 Ly_3 Rx_3 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_3),Ly_3)),Rx_3)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_3),Rx_3)),Ly_3)).
% 214.38/213.17 all Lx_3 Ly_3 Rx_3 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_3),Ly_3)),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_3)).
% 214.38/213.17 all Lx_3 Ly_3 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_3)),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_3)).
% 214.38/213.17 all Lx_3 Ly_3 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_3)),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_3)).
% 214.38/213.17 all Lx_2 Ly_2 Rx_2 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_2),Ly_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx_2),Ry_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_2),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx_2),Ry_2)))).
% 214.38/213.17 all Lx_2 Ly_2 Rx_2 Ry_2 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_2),Ly_2)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_2),Ry_2))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_2),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Ly_2),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_2),Ry_2)))).
% 214.38/213.17 all Lx_2 Ly_2 Rx_2 Ry_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_2),Ly_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_2),Ry_2))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_2),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ly_2),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_2),Ry_2)))).
% 214.38/213.17 all Lx_2 Ly_2 Rx_2 Ry_2 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_2),Ly_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_2),Ry_2))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ly_2),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_2),Ry_2)))).
% 214.38/213.17 all Lx_2 Ly_2 Rx_2 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_2),Ly_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx_2),Ry_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_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx_2),Ry_2)))).
% 214.38/213.17 all Lx_2 Ly_2 Rx_2 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_2),Ly_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_2),Ry_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_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx_2),Ry_2)))).
% 214.38/213.17 all Lx_1 Ly_1 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),Ly_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,Rx_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),Ly_1)),Ry_1))).
% 214.38/213.17 all Lx_1 Ly_1 Rx_1 Ry_1 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_1),Ly_1)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_1),Ry_1))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx_1),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx_1),Ly_1)),Ry_1))).
% 214.38/213.17 all Lx_1 Ly_1 Rx_1 Ry_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_1),Ly_1)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_1),Ry_1))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx_1),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx_1),Ly_1)),Ry_1))).
% 214.38/213.17 all Lx_1 Ly_1 Rx_1 Ry_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_1),Ly_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_1),Ry_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx_1),Ly_1)),Ry_1))).
% 214.38/213.17 all Lx_1 Ly_1 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),Ly_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,Rx_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),Ly_1)),Ry_1))).
% 214.38/213.17 all Lx_1 Ly_1 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),Ly_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,Rx_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),Ly_1)),Ry_1))).
% 214.38/213.17 all Lx Ly Rx Ry (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx),Ly)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Rx),Ry))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Lx),Rx)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ly),Ry))).
% 214.38/213.17 all Lx Ly Rx Ry (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx),Ly)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Rx),Ry))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Lx),Rx)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,Ly),Ry))).
% 214.38/213.17 all Lx Ly Rx Ry (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx),Ly)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Rx),Ry))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Lx),Rx)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Ly),Ry))).
% 214.38/213.17 all Lx Ly Rx Ry (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx),Ly)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Rx),Ry))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Lx),Rx)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ly),Ry))).
% 214.38/213.17 all Lx Ly Rx Ry (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx),Ly)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Rx),Ry))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Lx),Rx)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ly),Ry))).
% 214.38/213.17 all Lx Ly Rx Ry (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Ly)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Rx),Ry))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Lx),Rx)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ly),Ry))).
% 214.38/213.17 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)).
% 214.38/213.17 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))).
% 214.38/213.17 all V_16 W_8 Z_20 (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_8)),Z_20))=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_8))),Z_20)).
% 214.38/213.17 all V_16 W_8 Z_20 (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_8)),Z_20))=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_8))),Z_20)).
% 214.38/213.17 all V_16 W_8 Z_20 (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_8)),Z_20))=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_8))),Z_20)).
% 214.38/213.17 all V_16 W_8 Z_20 (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_8)),Z_20))=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_8))),Z_20)).
% 214.38/213.17 all V_15 W_7 (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_7))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_15),W_7))).
% 214.38/213.17 all V_15 W_7 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_15)),hAPP_int_complex(number528085621omplex,W_7))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_15),W_7))).
% 214.38/213.17 all V_15 W_7 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_15)),hAPP_int_real(number267125858f_real,W_7))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_15),W_7))).
% 214.38/213.17 all V_15 W_7 (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_7))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_15),W_7))).
% 214.38/213.17 all V_14 W_6 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_14),W_6))=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_6))).
% 214.38/213.17 all V_14 W_6 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_14),W_6))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_14)),hAPP_int_complex(number528085621omplex,W_6))).
% 214.38/213.17 all V_14 W_6 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_14),W_6))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_14)),hAPP_int_real(number267125858f_real,W_6))).
% 214.38/213.17 all V_14 W_6 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_14),W_6))=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_6))).
% 214.38/213.17 all M_18 N_30 (hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_18),N_30))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(semiri151668891at_rat,M_18)),hAPP_nat_rat(semiri151668891at_rat,N_30))).
% 214.38/213.17 all M_18 N_30 (hAPP_n522471361de_int(semiri1424489471de_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_18),N_30))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(semiri1424489471de_int,M_18)),hAPP_n522471361de_int(semiri1424489471de_int,N_30))).
% 214.38/213.17 all M_18 N_30 (hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_18),N_30))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(semiri2020571505omplex,M_18)),hAPP_nat_complex(semiri2020571505omplex,N_30))).
% 214.38/213.17 all M_18 N_30 (hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_18),N_30))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(semiri132038758t_real,M_18)),hAPP_nat_real(semiri132038758t_real,N_30))).
% 214.38/213.17 all M_18 N_30 (hAPP_nat_nat(semiri984289939at_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_18),N_30))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(semiri984289939at_nat,M_18)),hAPP_nat_nat(semiri984289939at_nat,N_30))).
% 214.38/213.17 all M_18 N_30 (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_18),N_30))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M_18)),hAPP_nat_int(semiri1621563631at_int,N_30))).
% 214.38/213.17 all A_138 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,zero_zero_rat),A_138)=zero_zero_rat).
% 214.38/213.17 all A_138 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,zero_z891286103de_int),A_138)=zero_z891286103de_int).
% 214.38/213.17 all A_138 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),A_138)=zero_zero_complex).
% 214.38/213.17 all A_138 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,zero_z126310315umeral),A_138)=zero_z126310315umeral).
% 214.38/213.17 all A_138 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),A_138)=zero_zero_real).
% 214.38/213.17 all A_138 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),A_138)=zero_zero_nat).
% 214.38/213.17 all A_138 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),A_138)=zero_zero_int).
% 214.38/213.17 all A_137 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_137),zero_zero_rat)=zero_zero_rat).
% 214.38/213.17 all A_137 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_137),zero_z891286103de_int)=zero_z891286103de_int).
% 214.38/213.17 all A_137 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_137),zero_zero_complex)=zero_zero_complex).
% 214.38/213.17 all A_137 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_137),zero_z126310315umeral)=zero_z126310315umeral).
% 214.38/213.17 all A_137 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_137),zero_zero_real)=zero_zero_real).
% 214.38/213.17 all A_137 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_137),zero_zero_nat)=zero_zero_nat).
% 214.38/213.17 all A_137 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_137),zero_zero_int)=zero_zero_int).
% 214.38/213.17 all A_1 B_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_1),B_1)=zero_zero_rat<->A_1=zero_zero_rat|B_1=zero_zero_rat).
% 214.38/213.17 all A_1 B_1 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_1),B_1)=zero_zero_complex<->A_1=zero_zero_complex|B_1=zero_zero_complex).
% 214.38/213.17 all A_1 B_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),B_1)=zero_zero_real<->A_1=zero_zero_real|B_1=zero_zero_real).
% 214.38/213.17 all A_1 B_1 (is_int(A_1)&is_int(B_1)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),B_1)=zero_zero_int<->A_1=zero_zero_int|B_1=zero_zero_int)).
% 214.38/213.17 all B_96 A_136 (A_136!=zero_zero_rat-> (B_96!=zero_zero_rat->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_136),B_96)!=zero_zero_rat)).
% 214.38/213.17 all B_96 A_136 (A_136!=zero_z891286103de_int-> (B_96!=zero_z891286103de_int->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_136),B_96)!=zero_z891286103de_int)).
% 214.38/213.17 all B_96 A_136 (A_136!=zero_zero_complex-> (B_96!=zero_zero_complex->hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_136),B_96)!=zero_zero_complex)).
% 214.38/213.17 all B_96 A_136 (A_136!=zero_z126310315umeral-> (B_96!=zero_z126310315umeral->hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_136),B_96)!=zero_z126310315umeral)).
% 214.38/213.17 all B_96 A_136 (A_136!=zero_zero_real-> (B_96!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_136),B_96)!=zero_zero_real)).
% 214.38/213.17 all B_96 A_136 (A_136!=zero_zero_nat-> (B_96!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_136),B_96)!=zero_zero_nat)).
% 214.38/213.17 all B_96 A_136 (is_int(B_96)&is_int(A_136)-> (A_136!=zero_zero_int-> (B_96!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_136),B_96)!=zero_zero_int))).
% 214.38/213.17 all A_135 B_95 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_135),B_95)=zero_zero_rat->A_135=zero_zero_rat|B_95=zero_zero_rat).
% 214.38/213.17 all A_135 B_95 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_135),B_95)=zero_z891286103de_int->A_135=zero_z891286103de_int|B_95=zero_z891286103de_int).
% 214.38/213.17 all A_135 B_95 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_135),B_95)=zero_zero_complex->A_135=zero_zero_complex|B_95=zero_zero_complex).
% 214.38/213.17 all A_135 B_95 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_135),B_95)=zero_z126310315umeral->A_135=zero_z126310315umeral|B_95=zero_z126310315umeral).
% 214.38/213.17 all A_135 B_95 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_135),B_95)=zero_zero_real->A_135=zero_zero_real|B_95=zero_zero_real).
% 214.38/213.17 all A_135 B_95 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_135),B_95)=zero_zero_nat->A_135=zero_zero_nat|B_95=zero_zero_nat).
% 214.38/213.17 all A_135 B_95 (is_int(A_135)&is_int(B_95)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_135),B_95)=zero_zero_int->A_135=zero_zero_int|B_95=zero_zero_int)).
% 214.38/213.17 all A_134 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,zero_zero_rat),A_134)=zero_zero_rat).
% 214.38/213.17 all A_134 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,zero_z891286103de_int),A_134)=zero_z891286103de_int).
% 214.38/213.17 all A_134 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,zero_zero_complex),A_134)=zero_zero_complex).
% 214.38/213.17 all A_134 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,zero_z126310315umeral),A_134)=zero_z126310315umeral).
% 214.38/213.17 all A_134 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,zero_zero_real),A_134)=zero_zero_real).
% 214.38/213.17 all A_134 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),A_134)=zero_zero_nat).
% 214.38/213.17 all A_134 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,zero_zero_int),A_134)=zero_zero_int).
% 214.38/213.17 all A_133 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_133),zero_zero_rat)=zero_zero_rat).
% 214.44/213.17 all A_133 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_133),zero_z891286103de_int)=zero_z891286103de_int).
% 214.44/213.17 all A_133 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_133),zero_zero_complex)=zero_zero_complex).
% 214.44/213.17 all A_133 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_133),zero_z126310315umeral)=zero_z126310315umeral).
% 214.44/213.17 all A_133 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_133),zero_zero_real)=zero_zero_real).
% 214.44/213.17 all A_133 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_133),zero_zero_nat)=zero_zero_nat).
% 214.44/213.17 all A_133 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_133),zero_zero_int)=zero_zero_int).
% 214.44/213.17 all A_132 B_94 C_50 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_132),B_94)),C_50)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_132),C_50)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_94),C_50))).
% 214.44/213.17 all A_132 B_94 C_50 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_132),B_94)),C_50)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_132),C_50)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_94),C_50))).
% 214.44/213.17 all A_132 B_94 C_50 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_132),B_94)),C_50)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_132),C_50)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_94),C_50))).
% 214.44/213.17 all A_132 B_94 C_50 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_132),B_94)),C_50)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_132),C_50)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_94),C_50))).
% 214.44/213.17 all A_132 B_94 C_50 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_132),B_94)),C_50)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_132),C_50)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_94),C_50))).
% 214.44/213.17 all A_132 B_94 C_50 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_132),B_94)),C_50)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_132),C_50)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_94),C_50))).
% 214.44/213.17 all A_131 E_3 B_93 C_49 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_131),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_93),E_3)),C_49))=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_131),B_93)),E_3)),C_49)).
% 214.44/213.17 all A_131 E_3 B_93 C_49 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_131),E_3)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_93),E_3)),C_49))=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_131),B_93)),E_3)),C_49)).
% 214.44/213.17 all A_131 E_3 B_93 C_49 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_131),E_3)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_93),E_3)),C_49))=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_131),B_93)),E_3)),C_49)).
% 214.44/213.17 all A_131 E_3 B_93 C_49 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_131),E_3)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_93),E_3)),C_49))=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_131),B_93)),E_3)),C_49)).
% 214.44/213.17 all A_131 E_3 B_93 C_49 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_131),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_93),E_3)),C_49))=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_131),B_93)),E_3)),C_49)).
% 214.44/213.17 all A_131 E_3 B_93 C_49 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_131),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_93),E_3)),C_49))=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_131),B_93)),E_3)),C_49)).
% 214.44/213.17 all X_55 Y_47 Z_19 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_55),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Y_47),Z_19))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_55),Y_47)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_55),Z_19))).
% 214.44/213.17 all X_55 Y_47 Z_19 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_55),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,Y_47),Z_19))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_55),Y_47)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_55),Z_19))).
% 214.44/213.17 all X_55 Y_47 Z_19 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_55),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Y_47),Z_19))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_55),Y_47)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_55),Z_19))).
% 214.44/213.17 all X_55 Y_47 Z_19 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_55),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y_47),Z_19))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_55),Y_47)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_55),Z_19))).
% 214.44/213.17 all X_55 Y_47 Z_19 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_55),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y_47),Z_19))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_55),Y_47)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_55),Z_19))).
% 214.44/213.17 all X_55 Y_47 Z_19 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_55),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Y_47),Z_19))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_55),Y_47)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_55),Z_19))).
% 214.44/213.17 all C D_1 A_1 B_1 (A_1!=B_1&C!=D_1<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_1),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_1),D_1))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_1),D_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_1),C))).
% 214.44/213.17 all C D_1 A_1 B_1 (A_1!=B_1&C!=D_1<->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_1),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_1),D_1))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_1),D_1)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_1),C))).
% 214.44/213.17 all C D_1 A_1 B_1 (A_1!=B_1&C!=D_1<->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),D_1))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),D_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),C))).
% 214.44/213.17 all C D_1 A_1 B_1 (A_1!=B_1&C!=D_1<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_1),C)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),D_1))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_1),D_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),C))).
% 214.44/213.17 all C D_1 A_1 B_1 (is_int(C)&is_int(D_1)&is_int(A_1)&is_int(B_1)-> (A_1!=B_1&C!=D_1<->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_1))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),C)))).
% 214.44/213.17 all A_130 B_92 C_48 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_130),B_92)),C_48)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_130),C_48)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_92),C_48))).
% 214.44/213.17 all A_130 B_92 C_48 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_130),B_92)),C_48)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_130),C_48)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_92),C_48))).
% 214.44/213.17 all A_130 B_92 C_48 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_130),B_92)),C_48)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_130),C_48)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_92),C_48))).
% 214.44/213.17 all A_130 B_92 C_48 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_130),B_92)),C_48)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_130),C_48)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_92),C_48))).
% 214.44/213.17 all A_130 B_92 C_48 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_130),B_92)),C_48)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_130),C_48)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_92),C_48))).
% 214.44/213.17 all A_130 B_92 C_48 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_130),B_92)),C_48)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_130),C_48)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_92),C_48))).
% 214.44/213.17 all A_129 M_17 B_91 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_129),M_17)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_91),M_17))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_129),B_91)),M_17)).
% 214.44/213.17 all A_129 M_17 B_91 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_129),M_17)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_91),M_17))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_129),B_91)),M_17)).
% 214.44/213.17 all A_129 M_17 B_91 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_129),M_17)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_91),M_17))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_129),B_91)),M_17)).
% 214.44/213.17 all A_129 M_17 B_91 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_129),M_17)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_91),M_17))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_129),B_91)),M_17)).
% 214.44/213.17 all A_129 M_17 B_91 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_129),M_17)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_91),M_17))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_129),B_91)),M_17)).
% 214.44/213.17 all A_129 M_17 B_91 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_129),M_17)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_91),M_17))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_129),B_91)),M_17)).
% 214.44/213.17 all Wa Ya Xa Z_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Wa),Ya)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Xa),Z_2))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Wa),Z_2)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Xa),Ya))<->Wa=Xa|Ya=Z_2).
% 214.44/213.17 all Wa Ya Xa Z_2 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Wa),Ya)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa),Z_2))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Wa),Z_2)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Xa),Ya))<->Wa=Xa|Ya=Z_2).
% 214.44/213.17 all Wa Ya Xa Z_2 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Wa),Ya)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa),Z_2))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Wa),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa),Ya))<->Wa=Xa|Ya=Z_2).
% 214.44/213.17 all Wa Ya Xa Z_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Wa),Ya)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Xa),Z_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Wa),Z_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Xa),Ya))<->Wa=Xa|Ya=Z_2).
% 214.44/213.18 all Wa Ya Xa Z_2 (is_int(Wa)&is_int(Ya)&is_int(Xa)&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,Wa),Ya)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Z_2))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Wa),Z_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Ya))<->Wa=Xa|Ya=Z_2)).
% 214.44/213.18 all A_128 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_128)=A_128).
% 214.44/213.18 all A_128 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_128)=A_128).
% 214.44/213.18 all A_128 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_128)=A_128).
% 214.44/213.18 all A_128 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_128)=A_128).
% 214.44/213.18 all A_128 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_128)=A_128).
% 214.44/213.18 all A_128 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_128)=A_128).
% 214.44/213.18 all A_128 (is_int(A_128)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_128)=A_128).
% 214.44/213.18 all A_127 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_127)=A_127).
% 214.44/213.18 all A_127 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_127)=A_127).
% 214.44/213.18 all A_127 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_127)=A_127).
% 214.44/213.18 all A_127 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_127)=A_127).
% 214.44/213.18 all A_127 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_127)=A_127).
% 214.44/213.18 all A_127 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_127)=A_127).
% 214.44/213.18 all A_127 (is_int(A_127)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_127)=A_127).
% 214.44/213.18 all A_126 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,one_one_rat),A_126)=A_126).
% 214.44/213.18 all A_126 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,one_on1684967323de_int),A_126)=A_126).
% 214.44/213.18 all A_126 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,one_one_complex),A_126)=A_126).
% 214.44/213.18 all A_126 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,one_on1645066479umeral),A_126)=A_126).
% 214.44/213.18 all A_126 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),A_126)=A_126).
% 214.44/213.18 all A_126 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),A_126)=A_126).
% 214.44/213.18 all A_126 (is_int(A_126)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,one_one_int),A_126)=A_126).
% 214.44/213.18 all A_125 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_125),one_one_rat)=A_125).
% 214.44/213.18 all A_125 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_125),one_on1684967323de_int)=A_125).
% 214.44/213.18 all A_125 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_125),one_one_complex)=A_125).
% 214.44/213.18 all A_125 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_125),one_on1645066479umeral)=A_125).
% 214.44/213.18 all A_125 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_125),one_one_real)=A_125).
% 214.44/213.18 all A_125 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_125),one_one_nat)=A_125).
% 214.44/213.18 all A_125 (is_int(A_125)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_125),one_one_int)=A_125).
% 214.44/213.18 all A_124 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_124),one_one_rat)=A_124).
% 214.44/213.18 all A_124 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_124),one_on1684967323de_int)=A_124).
% 214.44/213.18 all A_124 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_124),one_one_complex)=A_124).
% 214.44/213.18 all A_124 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_124),one_on1645066479umeral)=A_124).
% 214.44/213.18 all A_124 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_124),one_one_real)=A_124).
% 214.44/213.18 all A_124 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_124),one_one_nat)=A_124).
% 214.44/213.18 all A_124 (is_int(A_124)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_124),one_one_int)=A_124).
% 214.44/213.18 all A_123 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_123),one_one_rat)=A_123).
% 214.44/213.18 all A_123 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_123),one_on1684967323de_int)=A_123).
% 214.44/213.18 all A_123 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_123),one_one_complex)=A_123).
% 214.44/213.18 all A_123 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_123),one_on1645066479umeral)=A_123).
% 214.44/213.18 all A_123 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_123),one_one_real)=A_123).
% 214.44/213.18 all A_123 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_123),one_one_nat)=A_123).
% 214.44/213.18 all A_123 (is_int(A_123)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_123),one_one_int)=A_123).
% 214.44/213.18 all A_122 N_29 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_122),N_29)),A_122)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_122),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_122),N_29))).
% 214.44/213.18 all A_122 N_29 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_122),N_29)),A_122)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_122),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_122),N_29))).
% 214.44/213.18 all A_122 N_29 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_122),N_29)),A_122)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_122),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_122),N_29))).
% 214.44/213.18 all A_122 N_29 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_122),N_29)),A_122)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_122),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_122),N_29))).
% 214.44/213.18 all A_122 N_29 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_122),N_29)),A_122)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_122),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_122),N_29))).
% 214.44/213.18 all A_122 N_29 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_122),N_29)),A_122)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_122),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_122),N_29))).
% 214.44/213.18 all A_121 B_90 N_28 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_121),B_90)),N_28)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_121),N_28)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,B_90),N_28))).
% 214.44/213.18 all A_121 B_90 N_28 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_121),B_90)),N_28)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_121),N_28)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,B_90),N_28))).
% 214.44/213.18 all A_121 B_90 N_28 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_121),B_90)),N_28)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_121),N_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_90),N_28))).
% 214.44/213.18 all A_121 B_90 N_28 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_121),B_90)),N_28)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_121),N_28)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_90),N_28))).
% 214.44/213.18 all A_121 B_90 N_28 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_121),B_90)),N_28)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_121),N_28)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,B_90),N_28))).
% 214.44/213.18 all A_121 B_90 N_28 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_121),B_90)),N_28)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_121),N_28)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,B_90),N_28))).
% 214.44/213.18 all X_54 Y_46 Q_9 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_54),Y_46)),Q_9)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_54),Q_9)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_46),Q_9))).
% 214.44/213.18 all X_54 Y_46 Q_9 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_54),Y_46)),Q_9)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_54),Q_9)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_46),Q_9))).
% 214.44/213.18 all X_54 Y_46 Q_9 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_54),Y_46)),Q_9)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_54),Q_9)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_46),Q_9))).
% 214.44/213.18 all X_54 Y_46 Q_9 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_54),Y_46)),Q_9)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_54),Q_9)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_46),Q_9))).
% 214.44/213.18 all X_54 Y_46 Q_9 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_54),Y_46)),Q_9)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_54),Q_9)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,Y_46),Q_9))).
% 214.44/213.18 all X_54 Y_46 Q_9 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_54),Y_46)),Q_9)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_54),Q_9)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,Y_46),Q_9))).
% 214.44/213.18 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),zero_zero_nat))<->Na=zero_zero_nat).
% 214.44/213.18 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),N)).
% 214.44/213.18 all W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,pls),W)=pls).
% 214.44/213.18 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))).
% 214.44/213.18 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))&Ma!=Na).
% 214.44/213.18 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma=Na).
% 214.44/213.18 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 214.44/213.18 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> (M!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N)))).
% 214.44/213.18 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))|M=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 214.44/213.18 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).
% 214.44/213.18 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).
% 214.44/213.18 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))).
% 214.44/213.18 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))).
% 214.44/213.18 all N M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))).
% 214.44/213.18 all N M hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M))).
% 214.44/213.18 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))<-> (exists K_1 (Na=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),K_1)))).
% 214.44/213.18 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.44/213.18 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)))).
% 214.44/213.18 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)))).
% 214.44/213.18 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)))).
% 214.44/213.18 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))))).
% 214.44/213.18 all M K_2 N (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))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N))).
% 214.44/213.18 all M K_2 N (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))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 214.44/213.18 all M K_2 N (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))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N)))).
% 214.44/213.18 all V_1 W (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_1)),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_1),W))).
% 214.44/213.18 all Z_1 X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_1),X)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_1),Y)))).
% 214.44/213.18 all V_13 V_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_12)),hAPP_int_rat(number_number_of_rat,V_13))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_12),V_13)))).
% 214.44/213.18 all V_13 V_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))->hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_12)),hAPP_int_complex(number528085621omplex,V_13))=hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_12),V_13)))).
% 214.44/213.18 all V_13 V_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_12)),hAPP_int_real(number267125858f_real,V_13))=hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_12),V_13)))).
% 214.44/213.18 all V_13 V_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_12)),hAPP_int_nat(number_number_of_nat,V_13))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_12),V_13)))).
% 214.44/213.18 all V_13 V_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),V_13))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_12)),hAPP_int_int(number_number_of_int,V_13))=hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_12),V_13)))).
% 214.44/213.18 all A_120 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_120),A_120))).
% 214.44/213.18 all A_120 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_120),A_120))).
% 214.44/213.18 all A_120 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_120),A_120))).
% 214.44/213.18 all A_1 B_1 (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_1),B_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_1))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_1))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_1),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_1),zero_zero_rat))).
% 214.44/213.18 all A_1 B_1 (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_1),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_1))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_1),zero_zero_real))).
% 214.44/213.18 all A_1 B_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,A_1),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))).
% 214.44/213.18 all A_1 B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_1),B_1)),zero_zero_rat))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_1))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_1),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_1),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_1))).
% 214.44/213.18 all A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),B_1)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_1),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_1))).
% 214.44/213.18 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),B_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_1))).
% 214.44/213.18 all B_89 A_119 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_119))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_89))->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_119),B_89))))).
% 214.44/213.18 all B_89 A_119 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_119))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_89))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_119),B_89))))).
% 214.44/213.18 all B_89 A_119 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_119))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_89))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_119),B_89))))).
% 214.44/213.18 all B_89 A_119 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_119))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_89))->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_119),B_89))))).
% 214.44/213.18 all B_89 A_119 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_119))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_89))->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_119),B_89))))).
% 214.44/213.18 all B_89 A_119 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_119))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_89))->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_119),B_89))))).
% 214.44/213.18 all B_88 A_118 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_118))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_88),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_118),B_88)),zero_zero_rat)))).
% 214.44/213.18 all B_88 A_118 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_118))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_88),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_118),B_88)),zero_z891286103de_int)))).
% 214.44/213.18 all B_88 A_118 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_118))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_88),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_118),B_88)),zero_z126310315umeral)))).
% 214.44/213.18 all B_88 A_118 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_118))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_88),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_118),B_88)),zero_zero_real)))).
% 214.44/213.18 all B_88 A_118 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_118))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_88),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_118),B_88)),zero_zero_nat)))).
% 214.44/213.18 all B_88 A_118 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_118))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_88),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_118),B_88)),zero_zero_int)))).
% 214.44/213.18 all B_87 A_117 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_117))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_87),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_87),A_117)),zero_zero_rat)))).
% 214.44/213.18 all B_87 A_117 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_117))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_87),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_87),A_117)),zero_z891286103de_int)))).
% 214.44/213.18 all B_87 A_117 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_117))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_87),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_87),A_117)),zero_z126310315umeral)))).
% 214.44/213.18 all B_87 A_117 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_117))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_87),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_87),A_117)),zero_zero_real)))).
% 214.44/213.18 all B_87 A_117 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_117))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_87),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_87),A_117)),zero_zero_nat)))).
% 214.44/213.18 all B_87 A_117 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_117))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_87),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_87),A_117)),zero_zero_int)))).
% 214.44/213.18 all B_86 A_116 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_116),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_86))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_116),B_86)),zero_zero_rat)))).
% 214.44/213.18 all B_86 A_116 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_116),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_86))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_116),B_86)),zero_z891286103de_int)))).
% 214.44/213.18 all B_86 A_116 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_116),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_86))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_116),B_86)),zero_z126310315umeral)))).
% 214.44/213.18 all B_86 A_116 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_116),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_86))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_116),B_86)),zero_zero_real)))).
% 214.44/213.18 all B_86 A_116 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_116),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_86))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_116),B_86)),zero_zero_nat)))).
% 214.44/213.18 all B_86 A_116 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_116),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_86))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_116),B_86)),zero_zero_int)))).
% 214.44/213.18 all B_85 A_115 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_115),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_85),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_115),B_85))))).
% 214.44/213.18 all B_85 A_115 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_115),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_85),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_115),B_85))))).
% 214.44/213.18 all B_85 A_115 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_115),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_85),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_115),B_85))))).
% 214.44/213.18 all C_47 A_114 B_84 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_114),B_84))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_47))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_114),C_47)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_84),C_47))))).
% 214.44/213.18 all C_47 A_114 B_84 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_114),B_84))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_47))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_114),C_47)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_84),C_47))))).
% 214.44/213.18 all C_47 A_114 B_84 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_114),B_84))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_47))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_114),C_47)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_84),C_47))))).
% 214.44/213.18 all C_47 A_114 B_84 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_114),B_84))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_47))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_114),C_47)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_84),C_47))))).
% 214.44/213.18 all C_47 A_114 B_84 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_114),B_84))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_47))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_114),C_47)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_84),C_47))))).
% 214.44/213.18 all C_47 A_114 B_84 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_114),B_84))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_47))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_114),C_47)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_84),C_47))))).
% 214.44/213.18 all C_46 A_113 B_83 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_113),B_83))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_46))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_46),A_113)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_46),B_83))))).
% 214.44/213.18 all C_46 A_113 B_83 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_113),B_83))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_46))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_46),A_113)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_46),B_83))))).
% 214.44/213.18 all C_46 A_113 B_83 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_113),B_83))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_46))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_46),A_113)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_46),B_83))))).
% 214.44/213.18 all C_46 A_113 B_83 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_113),B_83))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_46))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_46),A_113)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_46),B_83))))).
% 214.44/213.18 all C_46 A_113 B_83 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_113),B_83))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_46))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_46),A_113)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_46),B_83))))).
% 214.44/213.18 all C_46 A_113 B_83 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_113),B_83))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_46))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_46),A_113)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_46),B_83))))).
% 214.44/213.18 all C_45 A_112 B_82 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_112),B_82))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_45))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_45),A_112)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_45),B_82))))).
% 214.44/213.18 all C_45 A_112 B_82 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_112),B_82))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_45))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_45),A_112)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_45),B_82))))).
% 214.44/213.18 all C_45 A_112 B_82 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_112),B_82))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_45))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_45),A_112)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_45),B_82))))).
% 214.44/213.18 all C_45 A_112 B_82 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_112),B_82))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_45))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_45),A_112)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_45),B_82))))).
% 214.44/213.18 all C_45 A_112 B_82 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_112),B_82))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_45))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_45),A_112)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_45),B_82))))).
% 214.44/213.18 all C_45 A_112 B_82 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_112),B_82))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_45))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_45),A_112)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_45),B_82))))).
% 214.44/213.18 all C_44 B_81 A_111 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_81),A_111))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_44),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_111),C_44)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_81),C_44))))).
% 214.44/213.18 all C_44 B_81 A_111 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_81),A_111))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_44),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_111),C_44)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_81),C_44))))).
% 214.44/213.18 all C_44 B_81 A_111 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_81),A_111))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_44),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_111),C_44)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_81),C_44))))).
% 214.44/213.18 all C_43 B_80 A_110 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_80),A_110))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_43),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_43),A_110)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_43),B_80))))).
% 214.44/213.18 all C_43 B_80 A_110 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_80),A_110))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_43),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_43),A_110)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_43),B_80))))).
% 214.44/213.18 all C_43 B_80 A_110 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_80),A_110))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_43),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_43),A_110)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_43),B_80))))).
% 214.44/213.18 all C_42 D_15 A_109 B_79 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_109),B_79))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_42),D_15))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_109))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_42))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_109),C_42)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_79),D_15))))))).
% 214.44/213.18 all C_42 D_15 A_109 B_79 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_109),B_79))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_42),D_15))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_109))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_42))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_109),C_42)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_79),D_15))))))).
% 214.44/213.18 all C_42 D_15 A_109 B_79 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_109),B_79))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_42),D_15))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_109))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_42))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_109),C_42)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_79),D_15))))))).
% 214.44/213.18 all C_42 D_15 A_109 B_79 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_109),B_79))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_42),D_15))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_109))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_42))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_109),C_42)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_79),D_15))))))).
% 214.44/213.18 all C_42 D_15 A_109 B_79 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_109),B_79))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_42),D_15))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_109))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_42))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_109),C_42)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_79),D_15))))))).
% 214.44/213.18 all C_42 D_15 A_109 B_79 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_109),B_79))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_42),D_15))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_109))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_42))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_109),C_42)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_79),D_15))))))).
% 214.44/213.18 all C_41 D_14 A_108 B_78 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_108),B_78))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_41),D_14))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_78))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_41))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_108),C_41)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_78),D_14))))))).
% 214.44/213.18 all C_41 D_14 A_108 B_78 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_108),B_78))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_41),D_14))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_78))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_41))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_108),C_41)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_78),D_14))))))).
% 214.44/213.18 all C_41 D_14 A_108 B_78 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_108),B_78))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_41),D_14))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_78))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_41))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_108),C_41)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_78),D_14))))))).
% 214.44/213.18 all C_41 D_14 A_108 B_78 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_108),B_78))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_41),D_14))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_78))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_41))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_108),C_41)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_78),D_14))))))).
% 214.44/213.18 all C_41 D_14 A_108 B_78 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_108),B_78))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_41),D_14))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_78))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_41))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_108),C_41)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_78),D_14))))))).
% 214.44/213.18 all C_41 D_14 A_108 B_78 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_108),B_78))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_41),D_14))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_78))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_41))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_108),C_41)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_78),D_14))))))).
% 214.44/213.18 all B_77 A_107 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_107))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_77))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_107),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_77),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_107),B_77)))).
% 214.44/213.18 all B_77 A_107 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_107))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_77))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_107),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_77),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_107),B_77)))).
% 214.44/213.18 all B_77 A_107 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_107))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_77))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_107),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_77),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_107),B_77)))).
% 214.44/213.18 all B_76 A_106 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_106))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_76),zero_zero_rat))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_106),zero_zero_rat))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_76))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_106),B_76)),zero_zero_rat))).
% 214.44/213.18 all B_76 A_106 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_106))&hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_76),zero_z891286103de_int))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_106),zero_z891286103de_int))&hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),B_76))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_106),B_76)),zero_z891286103de_int))).
% 214.44/213.18 all B_76 A_106 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_106))&hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,B_76),zero_z126310315umeral))|hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_106),zero_z126310315umeral))&hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),B_76))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_106),B_76)),zero_z126310315umeral))).
% 214.44/213.18 all B_76 A_106 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_106))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_76),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_106),zero_zero_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_76))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_106),B_76)),zero_zero_real))).
% 214.44/213.18 all B_76 A_106 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_106))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_76),zero_zero_nat))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_106),zero_zero_nat))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),B_76))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_106),B_76)),zero_zero_nat))).
% 214.44/213.18 all B_76 A_106 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_106))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_76),zero_zero_int))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_106),zero_zero_int))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_76))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_106),B_76)),zero_zero_int))).
% 214.44/213.18 all A_105 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_105),A_105)),zero_zero_rat))).
% 214.44/213.18 all A_105 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_105),A_105)),zero_zero_real))).
% 214.44/213.18 all A_105 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_105),A_105)),zero_zero_int))).
% 214.44/213.18 all A_1 C B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_1),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_1),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_1),B_1))|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_1),A_1))).
% 214.44/213.18 all A_1 C B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),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_1),B_1))|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_1),A_1))).
% 214.44/213.18 all A_1 C B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),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_1),B_1))|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_1),A_1))).
% 214.44/213.18 all C A_1 B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B_1)))<->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_1),B_1))|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_1),A_1))).
% 214.44/213.18 all C A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B_1)))<->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_1),B_1))|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_1),A_1))).
% 214.44/213.18 all C A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),A_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1)))<->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_1),B_1))|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_1),A_1))).
% 214.44/213.18 all A_1 B_1 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_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_1),B_1)))).
% 214.44/213.18 all A_1 B_1 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_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1)))).
% 214.44/213.18 all A_1 B_1 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_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1)))).
% 214.44/213.18 all B_75 A_104 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_104))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_75))->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_104),B_75))))).
% 214.44/213.18 all B_75 A_104 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_104))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_75))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_104),B_75))))).
% 214.44/213.18 all B_75 A_104 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_104))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_75))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_104),B_75))))).
% 214.44/213.18 all B_75 A_104 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_104))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_75))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_104),B_75))))).
% 214.44/213.18 all B_75 A_104 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_104))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_75))->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_104),B_75))))).
% 214.44/213.18 all B_75 A_104 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_104))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_75))->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_104),B_75))))).
% 214.44/213.18 all B_74 A_103 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_103))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_74),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_103),B_74)),zero_zero_rat)))).
% 214.44/213.18 all B_74 A_103 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_103))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_74),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_103),B_74)),zero_z891286103de_int)))).
% 214.44/213.18 all B_74 A_103 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_103))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_74),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_103),B_74)),zero_z126310315umeral)))).
% 214.44/213.18 all B_74 A_103 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_103))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_74),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_103),B_74)),zero_zero_real)))).
% 214.44/213.18 all B_74 A_103 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_103))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_74),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_103),B_74)),zero_zero_nat)))).
% 214.44/213.18 all B_74 A_103 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_103))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_74),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_103),B_74)),zero_zero_int)))).
% 214.44/213.18 all B_73 A_102 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_102))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_73),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_73),A_102)),zero_zero_rat)))).
% 214.44/213.18 all B_73 A_102 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_102))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_73),zero_z891286103de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_73),A_102)),zero_z891286103de_int)))).
% 214.44/213.18 all B_73 A_102 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_102))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,B_73),zero_z126310315umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_73),A_102)),zero_z126310315umeral)))).
% 214.44/213.18 all B_73 A_102 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_102))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_73),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_73),A_102)),zero_zero_real)))).
% 214.44/213.18 all B_73 A_102 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_102))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_73),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_73),A_102)),zero_zero_nat)))).
% 214.44/213.18 all B_73 A_102 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_102))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_73),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_73),A_102)),zero_zero_int)))).
% 214.44/213.18 all A_101 B_72 (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_101),B_72)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_101))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_72)))).
% 214.44/213.18 all A_101 B_72 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_101),B_72)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_101))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_72)))).
% 214.44/213.18 all A_101 B_72 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_101),B_72)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_101))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_72)))).
% 214.44/213.18 all A_101 B_72 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_101),B_72)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_101))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_72)))).
% 214.44/213.18 all A_101 B_72 (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_101),B_72)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_101))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_72)))).
% 214.44/213.18 all A_101 B_72 (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_101),B_72)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_101))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_72)))).
% 214.44/213.18 all B_71 A_100 (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_71),A_100)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_100))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_71)))).
% 214.44/213.18 all B_71 A_100 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_71),A_100)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_100))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_71)))).
% 214.44/213.18 all B_71 A_100 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_71),A_100)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_100))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_71)))).
% 214.44/213.18 all B_71 A_100 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_71),A_100)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_100))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_71)))).
% 214.44/213.18 all B_71 A_100 (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_71),A_100)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_100))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_71)))).
% 214.44/213.18 all B_71 A_100 (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_71),A_100)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_100))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_71)))).
% 214.44/213.18 all A_1 B_1 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_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_1),A_1)))).
% 214.44/213.18 all A_1 B_1 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_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_1),A_1)))).
% 214.44/213.18 all A_1 B_1 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_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A_1)))).
% 214.44/213.18 all B_70 A_99 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_99),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_70))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_99),B_70)),zero_zero_rat)))).
% 214.44/213.18 all B_70 A_99 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_99),zero_z891286103de_int))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_70))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_99),B_70)),zero_z891286103de_int)))).
% 214.44/213.18 all B_70 A_99 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_99),zero_z126310315umeral))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_70))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_99),B_70)),zero_z126310315umeral)))).
% 214.44/213.18 all B_70 A_99 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_99),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_70))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_99),B_70)),zero_zero_real)))).
% 214.44/213.18 all B_70 A_99 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_99),zero_zero_nat))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_70))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_99),B_70)),zero_zero_nat)))).
% 214.44/213.18 all B_70 A_99 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_99),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_70))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_99),B_70)),zero_zero_int)))).
% 214.44/213.18 all B_69 A_98 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_98),zero_zero_rat))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_69),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_98),B_69))))).
% 214.44/213.18 all B_69 A_98 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_98),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_69),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_98),B_69))))).
% 214.44/213.18 all B_69 A_98 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_98),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_69),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_98),B_69))))).
% 214.44/213.18 all C_40 A_97 B_68 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_97),B_68))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_40))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_97),C_40)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_68),C_40))))).
% 214.44/213.18 all C_40 A_97 B_68 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_97),B_68))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_40))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_97),C_40)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_68),C_40))))).
% 214.44/213.18 all C_40 A_97 B_68 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_97),B_68))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_40))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_97),C_40)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_68),C_40))))).
% 214.44/213.18 all C_40 A_97 B_68 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_97),B_68))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_40))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_97),C_40)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_68),C_40))))).
% 214.44/213.18 all C_40 A_97 B_68 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_97),B_68))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_40))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_97),C_40)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_68),C_40))))).
% 214.44/213.18 all C_40 A_97 B_68 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_97),B_68))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_40))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_97),C_40)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_68),C_40))))).
% 214.44/213.18 all C_39 A_96 B_67 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_96),B_67))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_39))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_39),A_96)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_39),B_67))))).
% 214.44/213.18 all C_39 A_96 B_67 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_96),B_67))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_39))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_39),A_96)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_39),B_67))))).
% 214.44/213.18 all C_39 A_96 B_67 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_96),B_67))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_39))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_39),A_96)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_39),B_67))))).
% 214.44/213.18 all C_39 A_96 B_67 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_96),B_67))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_39))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_39),A_96)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_39),B_67))))).
% 214.44/213.18 all C_39 A_96 B_67 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_96),B_67))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_39))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_39),A_96)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_39),B_67))))).
% 214.44/213.18 all C_39 A_96 B_67 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_96),B_67))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_39))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_39),A_96)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_39),B_67))))).
% 214.44/213.18 all C_38 A_95 B_66 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_95),B_66))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_38))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_38),A_95)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_38),B_66))))).
% 214.44/213.18 all C_38 A_95 B_66 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_95),B_66))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_38))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_38),A_95)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_38),B_66))))).
% 214.44/213.18 all C_38 A_95 B_66 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_95),B_66))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_38))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_38),A_95)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_38),B_66))))).
% 214.44/213.18 all C_38 A_95 B_66 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_95),B_66))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_38))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_38),A_95)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_38),B_66))))).
% 214.44/213.18 all C_38 A_95 B_66 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_95),B_66))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_38))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_38),A_95)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_38),B_66))))).
% 214.44/213.18 all C_38 A_95 B_66 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_95),B_66))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_38))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_38),A_95)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_38),B_66))))).
% 214.44/213.18 all C_37 B_65 A_94 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_65),A_94))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_37),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_94),C_37)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_65),C_37))))).
% 214.44/213.18 all C_37 B_65 A_94 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_65),A_94))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_37),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_94),C_37)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_65),C_37))))).
% 214.44/213.18 all C_37 B_65 A_94 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_65),A_94))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_37),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_94),C_37)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_65),C_37))))).
% 214.44/213.18 all C_36 B_64 A_93 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_64),A_93))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_36),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_36),A_93)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_36),B_64))))).
% 214.44/213.18 all C_36 B_64 A_93 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_64),A_93))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_36),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_36),A_93)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_36),B_64))))).
% 214.44/213.18 all C_36 B_64 A_93 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_64),A_93))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_36),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_36),A_93)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_36),B_64))))).
% 214.44/213.18 all Xa Ya (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Xa),Xa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ya),Ya))=zero_zero_rat<->Xa=zero_zero_rat&Ya=zero_zero_rat).
% 214.44/213.18 all Xa Ya (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa),Xa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ya),Ya))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 214.44/213.18 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Xa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ya),Ya))=zero_zero_int<->Xa=zero_zero_int&Ya=zero_zero_int)).
% 214.44/213.18 all C_35 D_13 A_92 B_63 R_6 (R_6!=zero_zero_rat-> (A_92=B_63&C_35!=D_13->hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_92),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,R_6),C_35))!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_63),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,R_6),D_13)))).
% 214.44/213.18 all C_35 D_13 A_92 B_63 R_6 (R_6!=zero_zero_complex-> (A_92=B_63&C_35!=D_13->hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_92),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,R_6),C_35))!=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_63),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,R_6),D_13)))).
% 214.44/213.18 all C_35 D_13 A_92 B_63 R_6 (R_6!=zero_zero_real-> (A_92=B_63&C_35!=D_13->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_92),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_6),C_35))!=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_63),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_6),D_13)))).
% 214.44/213.18 all C_35 D_13 A_92 B_63 R_6 (R_6!=zero_zero_nat-> (A_92=B_63&C_35!=D_13->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_92),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,R_6),C_35))!=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_63),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,R_6),D_13)))).
% 214.44/213.18 all C_35 D_13 A_92 B_63 R_6 (is_int(C_35)&is_int(D_13)&is_int(R_6)-> (R_6!=zero_zero_int-> (A_92=B_63&C_35!=D_13->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_92),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_6),C_35))!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_63),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_6),D_13))))).
% 214.44/213.18 all N_27 M_16 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),M_16))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),N_27))->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_16),N_27))))).
% 214.44/213.18 all N_27 M_16 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),M_16))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),N_27))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,M_16),N_27))))).
% 214.44/213.18 all N_27 M_16 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),M_16))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),N_27))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,M_16),N_27))))).
% 214.44/213.18 all N_27 M_16 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),M_16))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),N_27))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,M_16),N_27))))).
% 214.44/213.18 all N_27 M_16 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),M_16))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N_27))->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_16),N_27))))).
% 214.44/213.18 all N_27 M_16 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),M_16))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),N_27))->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_16),N_27))))).
% 214.44/213.18 all V_11 B_62 C_34 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_11)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_62),C_34))=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_11)),B_62)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_11)),C_34))).
% 214.44/213.18 all V_11 B_62 C_34 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_11)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_62),C_34))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_11)),B_62)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_i1732201573de_int(number1226105091de_int,V_11)),C_34))).
% 214.44/213.18 all V_11 B_62 C_34 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_11)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_62),C_34))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_11)),B_62)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_11)),C_34))).
% 214.44/213.18 all V_11 B_62 C_34 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_11)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_62),C_34))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_11)),B_62)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_11)),C_34))).
% 214.44/213.18 all V_11 B_62 C_34 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_11)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_62),C_34))=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_11)),B_62)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_11)),C_34))).
% 214.44/213.18 all V_11 B_62 C_34 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_11)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_62),C_34))=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_11)),B_62)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_11)),C_34))).
% 214.44/213.18 all V_11 B_62 C_34 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_11)),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,B_62),C_34))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_11)),B_62)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_i769753017umeral(number1443263063umeral,V_11)),C_34))).
% 214.44/213.19 all A_91 B_61 V_10 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_91),B_61)),hAPP_int_rat(number_number_of_rat,V_10))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_91),hAPP_int_rat(number_number_of_rat,V_10))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_61),hAPP_int_rat(number_number_of_rat,V_10)))).
% 214.44/213.19 all A_91 B_61 V_10 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_91),B_61)),hAPP_i1732201573de_int(number1226105091de_int,V_10))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_91),hAPP_i1732201573de_int(number1226105091de_int,V_10))),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_61),hAPP_i1732201573de_int(number1226105091de_int,V_10)))).
% 214.44/213.19 all A_91 B_61 V_10 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_91),B_61)),hAPP_int_complex(number528085621omplex,V_10))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_91),hAPP_int_complex(number528085621omplex,V_10))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_61),hAPP_int_complex(number528085621omplex,V_10)))).
% 214.44/213.19 all A_91 B_61 V_10 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_91),B_61)),hAPP_int_real(number267125858f_real,V_10))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_91),hAPP_int_real(number267125858f_real,V_10))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_61),hAPP_int_real(number267125858f_real,V_10)))).
% 214.44/213.19 all A_91 B_61 V_10 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_91),B_61)),hAPP_int_nat(number_number_of_nat,V_10))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_91),hAPP_int_nat(number_number_of_nat,V_10))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_61),hAPP_int_nat(number_number_of_nat,V_10)))).
% 214.44/213.19 all A_91 B_61 V_10 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_91),B_61)),hAPP_int_int(number_number_of_int,V_10))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_91),hAPP_int_int(number_number_of_int,V_10))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_61),hAPP_int_int(number_number_of_int,V_10)))).
% 214.44/213.19 all A_91 B_61 V_10 (hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_91),B_61)),hAPP_i769753017umeral(number1443263063umeral,V_10))=hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_91),hAPP_i769753017umeral(number1443263063umeral,V_10))),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_61),hAPP_i769753017umeral(number1443263063umeral,V_10)))).
% 214.44/213.19 all M_15 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,M_15),M_15)=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_15)).
% 214.44/213.19 all M_15 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,M_15),M_15)=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_15)).
% 214.44/213.19 all M_15 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,M_15),M_15)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,one_one_complex),one_one_complex)),M_15)).
% 214.44/213.19 all M_15 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,M_15),M_15)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,one_on1645066479umeral),one_on1645066479umeral)),M_15)).
% 214.44/213.19 all M_15 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,M_15),M_15)=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_15)).
% 214.44/213.19 all M_15 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_15),M_15)=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_15)).
% 214.44/213.19 all M_15 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_15),M_15)=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_15)).
% 214.44/213.19 all M_14 A_90 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,M_14),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_90),M_14))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_90),one_one_rat)),M_14)).
% 214.44/213.19 all M_14 A_90 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,M_14),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_90),M_14))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_90),one_on1684967323de_int)),M_14)).
% 214.44/213.19 all M_14 A_90 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,M_14),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_90),M_14))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_90),one_one_complex)),M_14)).
% 214.44/213.19 all M_14 A_90 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,M_14),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_90),M_14))=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_90),one_on1645066479umeral)),M_14)).
% 214.44/213.19 all M_14 A_90 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,M_14),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_90),M_14))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_90),one_one_real)),M_14)).
% 214.44/213.19 all M_14 A_90 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_14),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_90),M_14))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_90),one_one_nat)),M_14)).
% 214.44/213.19 all M_14 A_90 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M_14),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_90),M_14))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_90),one_one_int)),M_14)).
% 214.44/213.19 all A_89 M_13 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_89),M_13)),M_13)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_89),one_one_rat)),M_13)).
% 214.44/213.19 all A_89 M_13 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_89),M_13)),M_13)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,A_89),one_on1684967323de_int)),M_13)).
% 214.44/213.19 all A_89 M_13 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_89),M_13)),M_13)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_89),one_one_complex)),M_13)).
% 214.44/213.19 all A_89 M_13 (hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_89),M_13)),M_13)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,A_89),one_on1645066479umeral)),M_13)).
% 214.44/213.19 all A_89 M_13 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_89),M_13)),M_13)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_89),one_one_real)),M_13)).
% 214.44/213.19 all A_89 M_13 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_89),M_13)),M_13)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_89),one_one_nat)),M_13)).
% 214.44/213.19 all A_89 M_13 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_89),M_13)),M_13)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_89),one_one_int)),M_13)).
% 214.44/213.19 all A_88 M_12 N_26 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_88),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_12),N_26))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_88),M_12)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_88),N_26))).
% 214.44/213.19 all A_88 M_12 N_26 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_88),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_12),N_26))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_88),M_12)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_88),N_26))).
% 214.44/213.19 all A_88 M_12 N_26 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_88),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_12),N_26))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_88),M_12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_88),N_26))).
% 214.44/213.19 all A_88 M_12 N_26 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_88),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_12),N_26))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_88),M_12)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_88),N_26))).
% 214.44/213.19 all A_88 M_12 N_26 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_88),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_12),N_26))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_88),M_12)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_88),N_26))).
% 214.44/213.19 all A_88 M_12 N_26 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_88),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M_12),N_26))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_88),M_12)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_88),N_26))).
% 214.44/213.19 all X_53 P_7 Q_8 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_53),P_7)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_53),Q_8))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_53),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_8))).
% 214.44/213.19 all X_53 P_7 Q_8 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_53),P_7)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_53),Q_8))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_53),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_8))).
% 214.44/213.19 all X_53 P_7 Q_8 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_53),P_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_53),Q_8))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_53),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_8))).
% 214.44/213.19 all X_53 P_7 Q_8 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_53),P_7)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_53),Q_8))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_53),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_8))).
% 214.44/213.19 all X_53 P_7 Q_8 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_53),P_7)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_53),Q_8))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_53),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_8))).
% 214.44/213.19 all X_53 P_7 Q_8 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_53),P_7)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_53),Q_8))=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_53),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,P_7),Q_8))).
% 214.44/213.19 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)))).
% 214.44/213.19 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))))).
% 214.44/213.19 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y))))).
% 214.44/213.19 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))).
% 214.44/213.19 all Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.44/213.19 all X Y Z_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),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),Y)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),Z_1))).
% 214.44/213.19 all X_52 N_25 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_52),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_25))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_52),N_25)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_52),N_25))).
% 214.44/213.19 all X_52 N_25 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_52),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_25))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_52),N_25)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_52),N_25))).
% 214.44/213.19 all X_52 N_25 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_52),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_25))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_52),N_25)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_52),N_25))).
% 214.44/213.19 all X_52 N_25 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_52),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_25))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_52),N_25)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_52),N_25))).
% 214.44/213.19 all X_52 N_25 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_52),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_25))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_52),N_25)),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_52),N_25))).
% 214.44/213.19 all X_52 N_25 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_52),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_25))=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_52),N_25)),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_52),N_25))).
% 214.44/213.19 all C_33 A_87 B_60 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_33),A_87)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_33),B_60)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_33))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_87),B_60)))).
% 214.44/213.19 all C_33 A_87 B_60 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_33),A_87)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_33),B_60)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_33))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_87),B_60)))).
% 214.44/213.19 all C_33 A_87 B_60 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_33),A_87)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_33),B_60)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_33))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_87),B_60)))).
% 214.44/213.19 all C_33 A_87 B_60 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_33),A_87)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_33),B_60)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_33))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_87),B_60)))).
% 214.44/213.19 all C_33 A_87 B_60 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_33),A_87)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_33),B_60)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_33))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_87),B_60)))).
% 214.44/213.19 all C_33 A_87 B_60 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_33),A_87)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_33),B_60)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_33))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_87),B_60)))).
% 214.44/213.19 all A_86 C_32 B_59 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_86),C_32)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_59),C_32)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_32))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_86),B_59)))).
% 214.44/213.19 all A_86 C_32 B_59 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_86),C_32)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_59),C_32)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_32))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_86),B_59)))).
% 214.44/213.19 all A_86 C_32 B_59 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_86),C_32)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_59),C_32)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_32))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_86),B_59)))).
% 214.44/213.19 all A_86 C_32 B_59 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_86),C_32)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_59),C_32)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_32))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_86),B_59)))).
% 214.44/213.19 all A_86 C_32 B_59 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_86),C_32)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_59),C_32)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_32))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_86),B_59)))).
% 214.44/213.19 all A_86 C_32 B_59 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_86),C_32)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_59),C_32)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_32))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_86),B_59)))).
% 214.44/213.19 all C_31 A_85 B_58 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_31),A_85)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_31),B_58)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_31))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_85),B_58)))).
% 214.44/213.19 all C_31 A_85 B_58 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_31),A_85)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_31),B_58)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_31))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_85),B_58)))).
% 214.44/213.19 all C_31 A_85 B_58 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_31),A_85)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_31),B_58)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_31))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_85),B_58)))).
% 214.44/213.19 all C_31 A_85 B_58 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_31),A_85)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_31),B_58)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_31))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_85),B_58)))).
% 214.44/213.19 all C_31 A_85 B_58 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_31),A_85)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_31),B_58)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_31))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_85),B_58)))).
% 214.44/213.19 all C_31 A_85 B_58 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_31),A_85)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_31),B_58)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_31))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_85),B_58)))).
% 214.44/213.19 all C_30 A_84 B_57 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_30),A_84)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_30),B_57)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_30))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_84),B_57)))).
% 214.44/213.19 all C_30 A_84 B_57 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_30),A_84)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,C_30),B_57)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_30))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_84),B_57)))).
% 214.44/213.19 all C_30 A_84 B_57 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_30),A_84)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,C_30),B_57)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_30))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_84),B_57)))).
% 214.44/213.19 all C_30 A_84 B_57 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_30),A_84)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_30),B_57)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_30))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_84),B_57)))).
% 214.44/213.19 all C_30 A_84 B_57 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_30),A_84)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,C_30),B_57)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_30))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_84),B_57)))).
% 214.44/213.19 all C_30 A_84 B_57 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_30),A_84)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_30),B_57)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_30))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_84),B_57)))).
% 214.44/213.19 all A_83 C_29 B_56 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_83),C_29)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_56),C_29)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_29))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_83),B_56)))).
% 214.44/213.19 all A_83 C_29 B_56 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_83),C_29)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_56),C_29)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_29))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_83),B_56)))).
% 214.44/213.19 all A_83 C_29 B_56 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_83),C_29)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_56),C_29)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_29))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_83),B_56)))).
% 214.44/213.19 all A_83 C_29 B_56 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_83),C_29)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_56),C_29)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_29))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_83),B_56)))).
% 214.44/213.19 all A_83 C_29 B_56 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_83),C_29)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_56),C_29)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_29))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_83),B_56)))).
% 214.44/213.19 all A_83 C_29 B_56 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_83),C_29)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_56),C_29)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_29))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_83),B_56)))).
% 214.44/213.19 all A_82 C_28 B_55 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_82),C_28)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_55),C_28)))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_28))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_82),B_55)))).
% 214.44/213.19 all A_82 C_28 B_55 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_82),C_28)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_55),C_28)))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_28))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_82),B_55)))).
% 214.44/213.19 all A_82 C_28 B_55 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_82),C_28)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_55),C_28)))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_28))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_82),B_55)))).
% 214.44/213.19 all A_82 C_28 B_55 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_82),C_28)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_55),C_28)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_28))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_82),B_55)))).
% 214.44/213.19 all A_82 C_28 B_55 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_82),C_28)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_55),C_28)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_28))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_82),B_55)))).
% 214.44/213.19 all A_82 C_28 B_55 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_82),C_28)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_55),C_28)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_28))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_82),B_55)))).
% 214.44/213.19 all C_27 D_12 A_81 B_54 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_81),B_54))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_27),D_12))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_81))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_27))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_81),C_27)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_54),D_12))))))).
% 214.44/213.19 all C_27 D_12 A_81 B_54 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_81),B_54))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_27),D_12))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_81))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_27))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_81),C_27)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_54),D_12))))))).
% 214.44/213.19 all C_27 D_12 A_81 B_54 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,A_81),B_54))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_27),D_12))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_81))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_27))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_81),C_27)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_54),D_12))))))).
% 214.44/213.19 all C_27 D_12 A_81 B_54 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_81),B_54))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_27),D_12))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_81))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_27))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_81),C_27)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_54),D_12))))))).
% 214.44/213.19 all C_27 D_12 A_81 B_54 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_81),B_54))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_27),D_12))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_81))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_27))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_81),C_27)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_54),D_12))))))).
% 214.44/213.19 all C_27 D_12 A_81 B_54 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_81),B_54))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_27),D_12))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_81))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_27))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_81),C_27)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_54),D_12))))))).
% 214.44/213.19 all C_26 D_11 A_80 B_53 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_80),B_53))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_26),D_11))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_80))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),C_26))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_80),C_26)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_53),D_11))))))).
% 214.44/213.19 all C_26 D_11 A_80 B_53 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_80),B_53))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_26),D_11))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_80))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),C_26))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_80),C_26)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_53),D_11))))))).
% 214.44/213.19 all C_26 D_11 A_80 B_53 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_80),B_53))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,C_26),D_11))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_80))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),C_26))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_80),C_26)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_53),D_11))))))).
% 214.44/213.19 all C_26 D_11 A_80 B_53 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_80),B_53))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_26),D_11))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_80))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),C_26))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_80),C_26)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_53),D_11))))))).
% 214.44/213.19 all C_26 D_11 A_80 B_53 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_80),B_53))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_26),D_11))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_80))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),C_26))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_80),C_26)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_53),D_11))))))).
% 214.44/213.19 all C_26 D_11 A_80 B_53 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_80),B_53))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_26),D_11))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_80))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),C_26))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_80),C_26)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_53),D_11))))))).
% 214.44/213.19 all C_25 D_10 A_79 B_52 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_79),B_52))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_25),D_10))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_79))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_25))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_79),C_25)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_52),D_10))))))).
% 214.44/213.19 all C_25 D_10 A_79 B_52 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_79),B_52))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_25),D_10))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),A_79))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_25))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_79),C_25)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_52),D_10))))))).
% 214.44/213.19 all C_25 D_10 A_79 B_52 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_79),B_52))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_25),D_10))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),A_79))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_25))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_79),C_25)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_52),D_10))))))).
% 214.44/213.19 all C_25 D_10 A_79 B_52 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_79),B_52))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_25),D_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_79))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_25))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_79),C_25)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_52),D_10))))))).
% 214.44/213.19 all C_25 D_10 A_79 B_52 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_79),B_52))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_25),D_10))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),A_79))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_25))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_79),C_25)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_52),D_10))))))).
% 214.44/213.19 all C_25 D_10 A_79 B_52 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_79),B_52))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_25),D_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_79))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_25))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_79),C_25)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_52),D_10))))))).
% 214.44/213.19 all C_24 D_9 A_78 B_51 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_78),B_51))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_24),D_9))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),B_51))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),C_24))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_78),C_24)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_51),D_9))))))).
% 214.44/213.19 all C_24 D_9 A_78 B_51 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_78),B_51))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_24),D_9))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),B_51))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,zero_z891286103de_int),C_24))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_78),C_24)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_51),D_9))))))).
% 214.44/213.19 all C_24 D_9 A_78 B_51 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_78),B_51))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,C_24),D_9))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),B_51))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le565307924umeral,zero_z126310315umeral),C_24))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_78),C_24)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,B_51),D_9))))))).
% 214.44/213.19 all C_24 D_9 A_78 B_51 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_78),B_51))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_24),D_9))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),B_51))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),C_24))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_78),C_24)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_51),D_9))))))).
% 214.44/213.19 all C_24 D_9 A_78 B_51 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_78),B_51))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_24),D_9))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),B_51))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),C_24))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_78),C_24)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_51),D_9))))))).
% 214.44/213.19 all C_24 D_9 A_78 B_51 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_78),B_51))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_24),D_9))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_51))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),C_24))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_78),C_24)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_51),D_9))))))).
% 214.44/213.19 all A_1 B_1 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_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_1),A_1)))).
% 214.44/213.19 all A_1 B_1 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_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_1),A_1)))).
% 214.44/213.19 all A_1 B_1 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_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_1)))).
% 214.44/213.19 all A_1 B_1 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_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B_1)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_1),B_1)))).
% 214.44/213.19 all A_1 B_1 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_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1)))).
% 214.44/213.19 all A_1 B_1 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_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B_1)))).
% 214.44/213.19 all X_51 Y_45 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_51),X_51)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_45),Y_45)))).
% 214.44/213.19 all X_51 Y_45 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_51),X_51)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_45),Y_45)))).
% 214.44/213.19 all X_51 Y_45 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_51),X_51)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_45),Y_45)))).
% 214.44/213.19 all Xa Ya (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,Xa),Xa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ya),Ya))),zero_zero_rat))<->Xa=zero_zero_rat&Ya=zero_zero_rat).
% 214.44/213.19 all Xa Ya (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,Xa),Xa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ya),Ya))),zero_zero_real))<->Xa=zero_zero_real&Ya=zero_zero_real).
% 214.44/213.19 all Xa Ya (is_int(Xa)&is_int(Ya)-> (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,Xa),Xa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ya),Ya))),zero_zero_int))<->Xa=zero_zero_int&Ya=zero_zero_int)).
% 214.44/213.19 all X_50 Y_44 (-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_50),X_50)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_44),Y_44))),zero_zero_rat))).
% 214.44/213.19 all X_50 Y_44 (-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_50),X_50)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_44),Y_44))),zero_zero_real))).
% 214.44/213.19 all X_50 Y_44 (-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_50),X_50)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_44),Y_44))),zero_zero_int))).
% 214.44/213.19 all Xa Ya (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,Xa),Xa)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Ya),Ya))))<->Xa!=zero_zero_rat|Ya!=zero_zero_rat).
% 214.44/213.19 all Xa Ya (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,Xa),Xa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ya),Ya))))<->Xa!=zero_zero_real|Ya!=zero_zero_real).
% 214.44/213.19 all Xa Ya (is_int(Xa)&is_int(Ya)-> (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,Xa),Xa)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ya),Ya))))<->Xa!=zero_zero_int|Ya!=zero_zero_int)).
% 214.44/213.19 all Y_43 X_49 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_49))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_43))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_43),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_49),Y_43)),X_49))))).
% 214.44/213.19 all Y_43 X_49 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_49))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_43))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_43),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_49),Y_43)),X_49))))).
% 214.44/213.19 all Y_43 X_49 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_49))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_43))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_43),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_49),Y_43)),X_49))))).
% 214.44/213.19 all Y_42 X_48 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_48))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),Y_42))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_42),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_42),X_48)),X_48))))).
% 214.44/213.19 all Y_42 X_48 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_48))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y_42))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_42),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_42),X_48)),X_48))))).
% 214.44/213.19 all Y_42 X_48 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_48))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y_42))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_42),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_42),X_48)),X_48))))).
% 214.44/213.19 all N_24 A_77 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_77))->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_77),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_77),N_24))))).
% 214.44/213.19 all N_24 A_77 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_77))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_77),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_77),N_24))))).
% 214.44/213.19 all N_24 A_77 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_77))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_77),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_77),N_24))))).
% 214.44/213.19 all N_24 A_77 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_77))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_77),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_77),N_24))))).
% 214.44/213.19 all N_24 A_77 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_77))->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_77),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_77),N_24))))).
% 214.44/213.19 all N_24 A_77 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_77))->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_77),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_77),N_24))))).
% 214.44/213.19 all N_23 A_76 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),A_76))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_76),N_23)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_76),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_76),N_23))))).
% 214.44/213.19 all N_23 A_76 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,one_on1684967323de_int),A_76))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_76),N_23)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_76),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_76),N_23))))).
% 214.44/213.19 all N_23 A_76 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,one_on1645066479umeral),A_76))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_76),N_23)),hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_76),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_76),N_23))))).
% 214.44/213.19 all N_23 A_76 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_76))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_76),N_23)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_76),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_76),N_23))))).
% 214.44/213.19 all N_23 A_76 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),A_76))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_76),N_23)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_76),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_76),N_23))))).
% 214.44/213.19 all N_23 A_76 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_76))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_76),N_23)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_76),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_76),N_23))))).
% 214.44/213.19 all A_75 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_75),hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls)))=A_75).
% 214.44/213.19 all A_75 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_75),hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls)))=A_75).
% 214.44/213.19 all A_75 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_75),hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls)))=A_75).
% 214.44/213.19 all A_75 (is_int(A_75)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_75),hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)))=A_75).
% 214.44/213.19 all A_74 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit1,pls))),A_74)=A_74).
% 214.44/213.19 all A_74 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(bit1,pls))),A_74)=A_74).
% 214.44/213.19 all A_74 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit1,pls))),A_74)=A_74).
% 214.44/213.19 all A_74 (is_int(A_74)->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls))),A_74)=A_74).
% 214.44/213.19 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)).
% 214.44/213.19 all Na Ma (is_int(Na)&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),Na)=one_one_int<->Ma=one_one_int&Na=one_one_int))).
% 214.44/213.19 all Va V (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,Va)),hAPP_int_nat(number_number_of_nat,V)))<-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),V))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Va),pls)))).
% 214.44/213.19 all X_47 Y_41 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_47),Y_41))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_41),X_47))).
% 214.44/213.19 all X_47 Y_41 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_47),Y_41))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_41),X_47))).
% 214.44/213.19 all X_47 Y_41 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_47),Y_41))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_41),X_47))).
% 214.44/213.19 all X_47 Y_41 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_47),Y_41))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_41),X_47))).
% 214.44/213.19 all X_47 Y_41 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_47),Y_41))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_41),X_47))).
% 214.44/213.19 all Xa F G (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,Xa)),hAPP_int_bool(G,Xa)))).
% 214.44/213.19 all Xa F G (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,Xa)),hAPP_nat_bool(G,Xa)))).
% 214.44/213.19 all Z_18 Y_40 X_46 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_40),X_46))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_18),Y_40))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_18),X_46)))).
% 214.44/213.19 all Z_2 Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Xa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Ya))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Xa)))).
% 214.44/213.19 all Z_2 Ya Xa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Xa))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Ya))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Xa)))).
% 214.44/213.19 all Z_18 Y_40 X_46 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_40),X_46))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_18),Y_40))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_18),X_46)))).
% 214.44/213.19 all Z_18 Y_40 X_46 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_40),X_46))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_18),Y_40))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_18),X_46)))).
% 214.44/213.19 all Z_18 Y_40 X_46 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_40),X_46))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_18),Y_40))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_18),X_46)))).
% 214.44/213.19 all Z_18 Y_40 X_46 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_40),X_46))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_18),Y_40))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_18),X_46)))).
% 214.44/213.19 all Y_39 X_45 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_39),X_45))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_45),Y_39))->X_45=Y_39)).
% 214.44/213.19 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Xa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))->Xa=Ya)).
% 214.44/213.19 all Ya Xa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Xa))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))->Xa=Ya)).
% 214.44/213.19 all Y_39 X_45 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_39),X_45))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_45),Y_39))->X_45=Y_39)).
% 214.44/213.19 all Y_39 X_45 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_39),X_45))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_45),Y_39))->X_45=Y_39)).
% 214.44/213.19 all Y_39 X_45 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_39),X_45))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_45),Y_39))->X_45=Y_39)).
% 214.44/213.19 all Y_39 X_45 (is_int(Y_39)&is_int(X_45)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_39),X_45))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_45),Y_39))->X_45=Y_39))).
% 214.44/213.19 all Z_17 X_44 Y_38 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_44),Y_38))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_38),Z_17))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_44),Z_17)))).
% 214.44/213.19 all Z_2 Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Z_2)))).
% 214.44/213.19 all Z_2 Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Z_2)))).
% 214.44/213.19 all Z_17 X_44 Y_38 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_44),Y_38))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_38),Z_17))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_44),Z_17)))).
% 214.44/213.19 all Z_17 X_44 Y_38 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_44),Y_38))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_38),Z_17))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_44),Z_17)))).
% 214.44/213.19 all Z_17 X_44 Y_38 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_44),Y_38))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_38),Z_17))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_44),Z_17)))).
% 214.44/213.19 all Z_17 X_44 Y_38 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_44),Y_38))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_38),Z_17))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_44),Z_17)))).
% 214.44/213.19 all X_43 Y_37 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_43),Y_37))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_37),X_43))->X_43=Y_37)).
% 214.44/213.19 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Xa))->Xa=Ya)).
% 214.44/213.19 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Xa))->Xa=Ya)).
% 214.44/213.19 all X_43 Y_37 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_43),Y_37))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_37),X_43))->X_43=Y_37)).
% 214.44/213.19 all X_43 Y_37 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_43),Y_37))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_37),X_43))->X_43=Y_37)).
% 214.44/213.19 all X_43 Y_37 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_43),Y_37))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_37),X_43))->X_43=Y_37)).
% 214.44/213.19 all X_43 Y_37 (is_int(X_43)&is_int(Y_37)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_43),Y_37))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_37),X_43))->X_43=Y_37))).
% 214.44/213.19 all C_23 B_50 A_73 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_50),A_73))-> (B_50=C_23->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_23),A_73)))).
% 214.44/213.19 all C B_1 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_1),A_1))-> (B_1=C->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),A_1)))).
% 214.44/213.19 all C B_1 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),A_1))-> (B_1=C->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),A_1)))).
% 214.44/213.19 all C_23 B_50 A_73 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_50),A_73))-> (B_50=C_23->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_23),A_73)))).
% 214.44/213.19 all C_23 B_50 A_73 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_50),A_73))-> (B_50=C_23->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_23),A_73)))).
% 214.44/213.19 all C_23 B_50 A_73 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_50),A_73))-> (B_50=C_23->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_23),A_73)))).
% 214.44/213.19 all C_23 B_50 A_73 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_50),A_73))-> (B_50=C_23->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_23),A_73)))).
% 214.44/213.19 all C_22 A_72 B_49 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_72),B_49))-> (B_49=C_22->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_72),C_22)))).
% 214.44/213.19 all C A_1 B_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_1),B_1))-> (B_1=C->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_1),C)))).
% 214.44/213.19 all C A_1 B_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_1))-> (B_1=C->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),C)))).
% 214.44/213.19 all C_22 A_72 B_49 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_72),B_49))-> (B_49=C_22->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_72),C_22)))).
% 214.44/213.19 all C_22 A_72 B_49 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_72),B_49))-> (B_49=C_22->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_72),C_22)))).
% 214.44/213.19 all C_22 A_72 B_49 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_72),B_49))-> (B_49=C_22->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_72),C_22)))).
% 214.44/213.19 all C_22 A_72 B_49 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_72),B_49))-> (B_49=C_22->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_72),C_22)))).
% 214.44/213.19 all C_21 A_71 B_48 (A_71=B_48-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_21),B_48))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C_21),A_71)))).
% 214.44/213.19 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),B_1))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,C),A_1)))).
% 214.44/213.19 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),B_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,C),A_1)))).
% 214.44/213.19 all C_21 A_71 B_48 (A_71=B_48-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_21),B_48))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,C_21),A_71)))).
% 214.44/213.19 all C_21 A_71 B_48 (A_71=B_48-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_21),B_48))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C_21),A_71)))).
% 214.44/213.19 all C_21 A_71 B_48 (A_71=B_48-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_21),B_48))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,C_21),A_71)))).
% 214.44/213.19 all C_21 A_71 B_48 (A_71=B_48-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_21),B_48))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C_21),A_71)))).
% 214.44/213.19 all C_20 A_70 B_47 (A_70=B_47-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_47),C_20))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_70),C_20)))).
% 214.44/213.19 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_1),C))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_1),C)))).
% 214.44/213.19 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),C))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),C)))).
% 214.44/213.19 all C_20 A_70 B_47 (A_70=B_47-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_47),C_20))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_70),C_20)))).
% 214.44/213.19 all C_20 A_70 B_47 (A_70=B_47-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_47),C_20))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_70),C_20)))).
% 214.44/213.19 all C_20 A_70 B_47 (A_70=B_47-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_47),C_20))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_70),C_20)))).
% 214.44/213.19 all C_20 A_70 B_47 (A_70=B_47-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_47),C_20))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_70),C_20)))).
% 214.44/213.19 all Ya Xa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ya),Xa))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.19 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Xa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))<->Xa=Ya)).
% 214.44/213.19 all Ya Xa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Xa))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))<->Xa=Ya)).
% 214.44/213.19 all Ya Xa (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Ya),Xa))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Xa),Ya))<->Xa=Ya)).
% 214.44/213.19 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->Xa=Ya)).
% 214.44/213.19 all Ya Xa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.19 all Ya Xa (is_int(Ya)&is_int(Xa)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))<->Xa=Ya))).
% 214.44/213.19 all Xa F G (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,Xa)),hAPP_int_bool(G,Xa)))).
% 214.44/213.19 all Xa F G (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,Xa)),hAPP_nat_bool(G,Xa)))).
% 214.44/213.19 all X_42 Y_36 (X_42=Y_36->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_42),Y_36))).
% 214.44/213.19 all Xa Ya (Xa=Ya->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))).
% 214.44/213.19 all Xa Ya (Xa=Ya->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))).
% 214.44/213.19 all X_42 Y_36 (X_42=Y_36->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_42),Y_36))).
% 214.44/213.19 all X_42 Y_36 (X_42=Y_36->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_42),Y_36))).
% 214.44/213.19 all X_42 Y_36 (X_42=Y_36->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_42),Y_36))).
% 214.44/213.19 all X_42 Y_36 (X_42=Y_36->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_42),Y_36))).
% 214.44/213.19 all Xa Ya (Xa=Ya<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))&hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ya),Xa))).
% 214.44/213.19 all Xa Ya (Xa=Ya<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))&hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Xa))).
% 214.44/213.19 all Xa Ya (Xa=Ya<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))&hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Xa))).
% 214.44/213.19 all Xa Ya (Xa=Ya<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Xa),Ya))&hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Ya),Xa))).
% 214.44/213.19 all Xa Ya (Xa=Ya<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))).
% 214.44/213.19 all Xa Ya (Xa=Ya<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))).
% 214.44/213.19 all Xa Ya (is_int(Xa)&is_int(Ya)-> (Xa=Ya<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),Xa)))).
% 214.44/213.19 all X_41 Y_35 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_41),Y_35))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_35),X_41))).
% 214.44/213.19 all X_41 Y_35 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_41),Y_35))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_35),X_41))).
% 214.44/213.19 all X_41 Y_35 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_41),Y_35))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_35),X_41))).
% 214.44/213.19 all X_41 Y_35 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_41),Y_35))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_35),X_41))).
% 214.44/213.19 all X_41 Y_35 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_41),Y_35))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_35),X_41))).
% 214.44/213.19 all F G (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G))<-> (all X_1 (is_int(X_1)->hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_int_bool(F,X_1)),hAPP_int_bool(G,X_1)))))).
% 214.44/213.19 all F G (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))<-> (all X_1 hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_e_q_bool,hAPP_nat_bool(F,X_1)),hAPP_nat_bool(G,X_1))))).
% 214.44/213.19 all X_40 Y_34 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_40),Y_34))-> (X_40!=Y_34->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_34),X_40)))).
% 214.44/213.19 all X_40 Y_34 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_40),Y_34))-> (X_40!=Y_34->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_34),X_40)))).
% 214.44/213.19 all X_40 Y_34 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_40),Y_34))-> (X_40!=Y_34->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_34),X_40)))).
% 214.44/213.20 all X_40 Y_34 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_40),Y_34))-> (X_40!=Y_34->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_34),X_40)))).
% 214.44/213.20 all X_40 Y_34 (is_int(X_40)&is_int(Y_34)-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_40),Y_34))-> (X_40!=Y_34->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_34),X_40))))).
% 214.44/213.20 all X_39 Y_33 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_39),Y_33))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_33),X_39))).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ya),Xa))).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ya),Xa))).
% 214.44/213.20 all X_39 Y_33 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_39),Y_33))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_33),X_39))).
% 214.44/213.20 all X_39 Y_33 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_39),Y_33))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_33),X_39))).
% 214.44/213.20 all X_39 Y_33 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_39),Y_33))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_33),X_39))).
% 214.44/213.20 all X_39 Y_33 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_39),Y_33))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_33),X_39))).
% 214.44/213.20 all Z_16 Y_32 X_38 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_32),X_38))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_16),Y_32))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_16),X_38)))).
% 214.44/213.20 all Z_2 Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ya),Xa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Ya))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Xa)))).
% 214.44/213.20 all Z_2 Ya Xa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ya),Xa))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Ya))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Xa)))).
% 214.44/213.20 all Z_16 Y_32 X_38 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_32),X_38))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_16),Y_32))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_16),X_38)))).
% 214.44/213.20 all Z_16 Y_32 X_38 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_32),X_38))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_16),Y_32))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_16),X_38)))).
% 214.44/213.20 all Z_16 Y_32 X_38 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_32),X_38))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_16),Y_32))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_16),X_38)))).
% 214.44/213.20 all Z_16 Y_32 X_38 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_32),X_38))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_16),Y_32))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_16),X_38)))).
% 214.44/213.20 all Z_15 X_37 Y_31 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_37),Y_31))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_31),Z_15))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_37),Z_15)))).
% 214.44/213.20 all Z_2 Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ya),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Z_2)))).
% 214.44/213.20 all Z_2 Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ya),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Z_2)))).
% 214.44/213.20 all Z_15 X_37 Y_31 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_37),Y_31))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_31),Z_15))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_37),Z_15)))).
% 214.44/213.20 all Z_15 X_37 Y_31 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_37),Y_31))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_31),Z_15))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_37),Z_15)))).
% 214.44/213.20 all Z_15 X_37 Y_31 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_37),Y_31))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_31),Z_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_37),Z_15)))).
% 214.44/213.20 all Z_15 X_37 Y_31 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_37),Y_31))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_31),Z_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_37),Z_15)))).
% 214.44/213.20 all C_19 B_46 A_69 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_46),A_69))-> (B_46=C_19->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_19),A_69)))).
% 214.44/213.20 all C B_1 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,B_1),A_1))-> (B_1=C->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),A_1)))).
% 214.44/213.20 all C B_1 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B_1),A_1))-> (B_1=C->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),A_1)))).
% 214.44/213.20 all C_19 B_46 A_69 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_46),A_69))-> (B_46=C_19->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_19),A_69)))).
% 214.44/213.20 all C_19 B_46 A_69 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_46),A_69))-> (B_46=C_19->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_19),A_69)))).
% 214.44/213.20 all C_19 B_46 A_69 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_46),A_69))-> (B_46=C_19->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_19),A_69)))).
% 214.44/213.20 all C_19 B_46 A_69 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_46),A_69))-> (B_46=C_19->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_19),A_69)))).
% 214.44/213.20 all C_18 A_68 B_45 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_68),B_45))-> (B_45=C_18->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_68),C_18)))).
% 214.44/213.20 all C A_1 B_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A_1),B_1))-> (B_1=C->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A_1),C)))).
% 214.44/213.20 all C A_1 B_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A_1),B_1))-> (B_1=C->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A_1),C)))).
% 214.44/213.20 all C_18 A_68 B_45 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_68),B_45))-> (B_45=C_18->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_68),C_18)))).
% 214.44/213.20 all C_18 A_68 B_45 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_68),B_45))-> (B_45=C_18->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_68),C_18)))).
% 214.44/213.20 all C_18 A_68 B_45 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_68),B_45))-> (B_45=C_18->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_68),C_18)))).
% 214.44/213.20 all C_18 A_68 B_45 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_68),B_45))-> (B_45=C_18->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_68),C_18)))).
% 214.44/213.20 all C_17 A_67 B_44 (A_67=B_44-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_17),B_44))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C_17),A_67)))).
% 214.44/213.20 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),B_1))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,C),A_1)))).
% 214.44/213.20 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),B_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,C),A_1)))).
% 214.44/213.20 all C_17 A_67 B_44 (A_67=B_44-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_17),B_44))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,C_17),A_67)))).
% 214.44/213.20 all C_17 A_67 B_44 (A_67=B_44-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_17),B_44))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C_17),A_67)))).
% 214.44/213.20 all C_17 A_67 B_44 (A_67=B_44-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_17),B_44))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,C_17),A_67)))).
% 214.44/213.20 all C_17 A_67 B_44 (A_67=B_44-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_17),B_44))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C_17),A_67)))).
% 214.44/213.20 all C_16 A_66 B_43 (A_66=B_43-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_43),C_16))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_66),C_16)))).
% 214.44/213.20 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,B_1),C))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A_1),C)))).
% 214.44/213.20 all C A_1 B_1 (A_1=B_1-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B_1),C))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A_1),C)))).
% 214.44/213.20 all C_16 A_66 B_43 (A_66=B_43-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_43),C_16))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_66),C_16)))).
% 214.44/213.20 all C_16 A_66 B_43 (A_66=B_43-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_43),C_16))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_66),C_16)))).
% 214.44/213.20 all C_16 A_66 B_43 (A_66=B_43-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_43),C_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_66),C_16)))).
% 214.44/213.20 all C_16 A_66 B_43 (A_66=B_43-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_43),C_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_66),C_16)))).
% 214.44/213.20 all B_42 A_65 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_42),A_65))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_65),B_42))).
% 214.44/213.20 all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,B_1),A_1))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A_1),B_1))).
% 214.44/213.20 all B_1 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B_1),A_1))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A_1),B_1))).
% 214.44/213.20 all B_42 A_65 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_42),A_65))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_65),B_42))).
% 214.44/213.20 all B_42 A_65 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_42),A_65))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_65),B_42))).
% 214.44/213.20 all B_42 A_65 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_42),A_65))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_65),B_42))).
% 214.44/213.20 all B_42 A_65 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_42),A_65))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_65),B_42))).
% 214.44/213.20 all A_64 B_41 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_64),B_41))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_41),A_64))).
% 214.44/213.20 all A_1 B_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A_1),B_1))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,B_1),A_1))).
% 214.44/213.20 all A_1 B_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A_1),B_1))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B_1),A_1))).
% 214.44/213.20 all A_64 B_41 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_64),B_41))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_41),A_64))).
% 214.44/213.20 all A_64 B_41 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_64),B_41))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_41),A_64))).
% 214.44/213.20 all A_64 B_41 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_64),B_41))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_41),A_64))).
% 214.44/213.20 all A_64 B_41 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_64),B_41))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_41),A_64))).
% 214.44/213.20 all P_1 Xa Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ya),Xa))->hBOOL(P_1))).
% 214.44/213.20 all P_1 Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ya),Xa))->hBOOL(P_1))).
% 214.44/213.20 all P_1 Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ya),Xa))->hBOOL(P_1))).
% 214.44/213.20 all P_1 Xa Ya (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Ya),Xa))->hBOOL(P_1))).
% 214.44/213.20 all P_1 Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),Xa))->hBOOL(P_1))).
% 214.44/213.20 all P_1 Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ya),Xa))->hBOOL(P_1))).
% 214.44/213.20 all P_1 Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ya),Xa))->hBOOL(P_1))).
% 214.44/213.20 all X_36 Y_30 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_36),Y_30))->Y_30!=X_36).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))->Ya!=Xa).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))->Ya!=Xa).
% 214.44/213.20 all X_36 Y_30 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_36),Y_30))->Y_30!=X_36).
% 214.44/213.20 all X_36 Y_30 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_36),Y_30))->Y_30!=X_36).
% 214.44/213.20 all X_36 Y_30 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_36),Y_30))->Y_30!=X_36).
% 214.44/213.20 all X_36 Y_30 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_36),Y_30))->Y_30!=X_36).
% 214.44/213.20 all X_35 Y_29 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_35),Y_29))->X_35!=Y_29).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))->Xa!=Ya).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))->Xa!=Ya).
% 214.44/213.20 all X_35 Y_29 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_35),Y_29))->X_35!=Y_29).
% 214.44/213.20 all X_35 Y_29 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_35),Y_29))->X_35!=Y_29).
% 214.44/213.20 all X_35 Y_29 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_35),Y_29))->X_35!=Y_29).
% 214.44/213.20 all X_35 Y_29 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_35),Y_29))->X_35!=Y_29).
% 214.44/213.20 all X_34 Y_28 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_34),Y_28))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_28),X_34))).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ya),Xa))).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ya),Xa))).
% 214.44/213.20 all X_34 Y_28 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_34),Y_28))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_28),X_34))).
% 214.44/213.20 all X_34 Y_28 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_34),Y_28))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_28),X_34))).
% 214.44/213.20 all X_34 Y_28 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_34),Y_28))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_28),X_34))).
% 214.44/213.20 all X_34 Y_28 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_34),Y_28))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_28),X_34))).
% 214.44/213.20 all X_33 Y_27 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_33),Y_27))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_27),X_33))).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))-> -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ya),Xa))).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))-> -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ya),Xa))).
% 214.44/213.20 all X_33 Y_27 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_33),Y_27))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_27),X_33))).
% 214.44/213.20 all X_33 Y_27 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_33),Y_27))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_27),X_33))).
% 214.44/213.20 all X_33 Y_27 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_33),Y_27))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_27),X_33))).
% 214.44/213.20 all X_33 Y_27 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_33),Y_27))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_27),X_33))).
% 214.44/213.20 all X_32 Y_26 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_32),Y_26))->X_32!=Y_26).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))->Xa!=Ya).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))->Xa!=Ya).
% 214.44/213.20 all X_32 Y_26 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_32),Y_26))->X_32!=Y_26).
% 214.44/213.20 all X_32 Y_26 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_32),Y_26))->X_32!=Y_26).
% 214.44/213.20 all X_32 Y_26 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_32),Y_26))->X_32!=Y_26).
% 214.44/213.20 all X_32 Y_26 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_32),Y_26))->X_32!=Y_26).
% 214.44/213.20 all X_31 Y_25 (X_31!=Y_25-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_31),Y_25))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_25),X_31)))).
% 214.44/213.20 all X_31 Y_25 (X_31!=Y_25-> (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_31),Y_25))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_25),X_31)))).
% 214.44/213.20 all X_31 Y_25 (X_31!=Y_25-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_31),Y_25))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_25),X_31)))).
% 214.44/213.20 all X_31 Y_25 (X_31!=Y_25-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_31),Y_25))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_25),X_31)))).
% 214.44/213.20 all X_31 Y_25 (is_int(X_31)&is_int(Y_25)-> (X_31!=Y_25-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_31),Y_25))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_25),X_31))))).
% 214.44/213.20 all Ya Xa (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ya),Xa))-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.20 all Ya Xa (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Ya),Xa))-> (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))<->Xa=Ya)).
% 214.44/213.20 all Ya Xa (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),Xa))-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->Xa=Ya)).
% 214.44/213.20 all Ya Xa (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ya),Xa))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.20 all Ya Xa (is_int(Ya)&is_int(Xa)-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ya),Xa))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))<->Xa=Ya))).
% 214.44/213.20 all X_30 Y_24 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_30),Y_24))|X_30=Y_24|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_24),X_30))).
% 214.44/213.20 all X_30 Y_24 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_30),Y_24))|X_30=Y_24|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_24),X_30))).
% 214.44/213.20 all X_30 Y_24 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_30),Y_24))|X_30=Y_24|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_24),X_30))).
% 214.44/213.20 all X_30 Y_24 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_30),Y_24))|X_30=Y_24|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_24),X_30))).
% 214.44/213.20 all X_30 Y_24 (is_int(X_30)&is_int(Y_24)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_30),Y_24))|X_30=Y_24|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_24),X_30))).
% 214.44/213.20 all Xa Ya (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ya),Xa))|Xa=Ya).
% 214.44/213.20 all Xa Ya (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Ya),Xa))|Xa=Ya).
% 214.44/213.20 all Xa Ya (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),Xa))|Xa=Ya).
% 214.44/213.20 all Xa Ya (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ya),Xa))|Xa=Ya).
% 214.44/213.20 all Xa Ya (is_int(Xa)&is_int(Ya)-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ya),Xa))|Xa=Ya)).
% 214.44/213.20 all Xa Ya (Xa!=Ya<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ya),Xa))).
% 214.44/213.20 all Xa Ya (Xa!=Ya<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Ya),Xa))).
% 214.44/213.20 all Xa Ya (Xa!=Ya<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),Xa))).
% 214.44/213.20 all Xa Ya (Xa!=Ya<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ya),Xa))).
% 214.44/213.20 all Xa Ya (is_int(Xa)&is_int(Ya)-> (Xa!=Ya<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ya),Xa)))).
% 214.44/213.20 all X_29 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_29),X_29))).
% 214.44/213.20 all Xa (-hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Xa))).
% 214.44/213.20 all Xa (-hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Xa))).
% 214.44/213.20 all X_29 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_29),X_29))).
% 214.44/213.20 all X_29 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_29),X_29))).
% 214.44/213.20 all X_29 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_29),X_29))).
% 214.44/213.20 all X_29 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_29),X_29))).
% 214.44/213.20 all V_9 U_3 Y_23 X_28 A_63 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_28),A_63))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_23),A_63))-> (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_9))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,U_3),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_3),X_28)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,V_9),Y_23))),A_63))))))).
% 214.44/213.20 all V_9 U_3 Y_23 X_28 A_63 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_28),A_63))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_23),A_63))-> (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_9))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,U_3),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_3),X_28)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,V_9),Y_23))),A_63))))))).
% 214.44/213.20 all V_9 U_3 Y_23 X_28 A_63 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_28),A_63))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_23),A_63))-> (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_9))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U_3),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_3),X_28)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_9),Y_23))),A_63))))))).
% 214.44/213.20 all N_22 A_62 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_62))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_62),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_62),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_62),N_22))),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_62),N_22))))).
% 214.44/213.20 all N_22 A_62 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,zero_z891286103de_int),A_62))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_62),one_on1684967323de_int))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_62),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_62),N_22))),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_62),N_22))))).
% 214.44/213.20 all N_22 A_62 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,zero_z126310315umeral),A_62))-> (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,A_62),one_on1645066479umeral))->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(ord_le1304079648umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,A_62),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_62),N_22))),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,A_62),N_22))))).
% 214.44/213.20 all N_22 A_62 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_62))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_62),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_62),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_62),N_22))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_62),N_22))))).
% 214.44/213.20 all N_22 A_62 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),A_62))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_62),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_62),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_62),N_22))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_62),N_22))))).
% 214.44/213.20 all N_22 A_62 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_62))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_62),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_62),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_62),N_22))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_62),N_22))))).
% 214.44/213.20 all W_5 (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_5))=hAPP_int_rat(number_number_of_rat,hAPP_int_int(bit0,W_5))).
% 214.44/213.20 all W_5 (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_5))=hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,W_5))).
% 214.44/213.20 all W_5 (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_5))=hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,W_5))).
% 214.44/213.20 all W_5 (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_5))=hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,W_5))).
% 214.44/213.20 all A_61 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_61),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_61),A_61)),A_61)).
% 214.44/213.20 all A_61 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_61),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_61),A_61)),A_61)).
% 214.44/213.20 all A_61 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_61),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_61),A_61)),A_61)).
% 214.44/213.20 all A_61 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_61),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_61),A_61)),A_61)).
% 214.44/213.20 all A_61 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_61),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_61),A_61)),A_61)).
% 214.44/213.20 all A_61 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_61),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_61),A_61)),A_61)).
% 214.44/213.20 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))))).
% 214.44/213.20 all V_8 U_2 Y_22 X_27 A_60 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_27),A_60))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_22),A_60))-> (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_8))-> (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,U_2),V_8)=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_2),X_27)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,V_8),Y_22))),A_60))))))).
% 214.44/213.20 all V_8 U_2 Y_22 X_27 A_60 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_27),A_60))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_22),A_60))-> (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_8))-> (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,U_2),V_8)=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_2),X_27)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,V_8),Y_22))),A_60))))))).
% 214.44/213.20 all V_8 U_2 Y_22 X_27 A_60 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_27),A_60))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_22),A_60))-> (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_8))-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,U_2),V_8)=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_2),X_27)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_8),Y_22))),A_60))))))).
% 214.44/213.20 all Z_14 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Z_14),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_14),Z_14)).
% 214.44/213.20 all Z_14 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_14),hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Z_14),Z_14)).
% 214.44/213.20 all Z_14 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_14),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_14),Z_14)).
% 214.44/213.20 all Z_14 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_14),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_14),Z_14)).
% 214.44/213.20 all Z_13 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Z_13),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_13),Z_13)).
% 214.44/213.20 all Z_13 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,Z_13),hAPP_int_complex(number528085621omplex,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,Z_13),Z_13)).
% 214.44/213.20 all Z_13 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_13),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Z_13),Z_13)).
% 214.44/213.20 all Z_13 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Z_13),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_13),Z_13)).
% 214.44/213.20 all Z_13 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Z_13),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_13),Z_13)).
% 214.44/213.20 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)).
% 214.44/213.20 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)).
% 214.44/213.20 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)).
% 214.44/213.20 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)).
% 214.44/213.20 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)).
% 214.44/213.20 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)).
% 214.44/213.20 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)).
% 214.44/213.20 all Z_11 (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_11)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Z_11),Z_11)).
% 214.44/213.20 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)).
% 214.44/213.20 all A_59 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_59),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_59),A_59)).
% 214.44/213.20 all A_59 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_59),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_59),A_59)).
% 214.44/213.20 all A_59 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_59),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_59),A_59)).
% 214.44/213.20 all A_59 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_59),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_59),A_59)).
% 214.44/213.20 all A_59 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_59),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_59),A_59)).
% 214.44/213.20 all A_59 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,A_59),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_59),A_59)).
% 214.44/213.20 all X_26 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_26),X_26)=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.20 all X_26 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_26),X_26)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.20 all X_26 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X_26),X_26)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.20 all X_26 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_26),X_26)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.20 all X_26 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_26),X_26)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.20 all X_26 (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,X_26),X_26)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_26),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.20 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))))).
% 214.44/213.20 all N 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))).
% 214.44/213.20 all W_4 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_int_complex(number528085621omplex,W_4)),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_4)),hAPP_int_complex(number528085621omplex,W_4))).
% 214.44/213.20 all W_4 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,W_4)),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_4)),hAPP_int_real(number267125858f_real,W_4))).
% 214.44/213.20 all W_4 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,W_4)),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_4)),hAPP_int_nat(number_number_of_nat,W_4))).
% 214.44/213.20 all W_4 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,W_4)),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_4)),hAPP_int_int(number_number_of_int,W_4))).
% 214.44/213.20 all W_4 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_int_rat(number_number_of_rat,W_4)),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_4)),hAPP_int_rat(number_number_of_rat,W_4))).
% 214.44/213.20 all W_4 (hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,hAPP_i1732201573de_int(number1226105091de_int,W_4)),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_4)),hAPP_i1732201573de_int(number1226105091de_int,W_4))).
% 214.44/213.20 all W_4 (hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,hAPP_i769753017umeral(number1443263063umeral,W_4)),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_4)),hAPP_i769753017umeral(number1443263063umeral,W_4))).
% 214.44/213.20 all Z_10 Y_21 X_25 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_21),X_25))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_10),Y_21))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_10),X_25)))).
% 214.44/213.20 all Z_2 Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Xa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Ya))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Xa)))).
% 214.44/213.20 all Z_2 Ya Xa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Xa))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Ya))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Xa)))).
% 214.44/213.20 all Z_10 Y_21 X_25 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_21),X_25))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_10),Y_21))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_10),X_25)))).
% 214.44/213.20 all Z_10 Y_21 X_25 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_21),X_25))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_10),Y_21))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_10),X_25)))).
% 214.44/213.20 all Z_10 Y_21 X_25 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_21),X_25))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_10),Y_21))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_10),X_25)))).
% 214.44/213.20 all Z_10 Y_21 X_25 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_21),X_25))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_10),Y_21))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_10),X_25)))).
% 214.44/213.20 all Z_9 X_24 Y_20 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_24),Y_20))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_20),Z_9))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_24),Z_9)))).
% 214.44/213.20 all Z_2 Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ya),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Z_2)))).
% 214.44/213.20 all Z_2 Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ya),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Z_2)))).
% 214.44/213.20 all Z_9 X_24 Y_20 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_24),Y_20))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_20),Z_9))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_24),Z_9)))).
% 214.44/213.20 all Z_9 X_24 Y_20 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_24),Y_20))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_20),Z_9))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_24),Z_9)))).
% 214.44/213.20 all Z_9 X_24 Y_20 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_24),Y_20))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_20),Z_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_24),Z_9)))).
% 214.44/213.20 all Z_9 X_24 Y_20 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_24),Y_20))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_20),Z_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_24),Z_9)))).
% 214.44/213.20 all Z_8 Y_19 X_23 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_19),X_23))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_8),Y_19))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_8),X_23)))).
% 214.44/213.20 all Z_2 Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Ya),Xa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Z_2),Ya))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Z_2),Xa)))).
% 214.44/213.20 all Z_2 Ya Xa (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Ya),Xa))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Z_2),Ya))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Z_2),Xa)))).
% 214.44/213.20 all Z_8 Y_19 X_23 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_19),X_23))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Z_8),Y_19))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Z_8),X_23)))).
% 214.44/213.20 all Z_8 Y_19 X_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_19),X_23))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Z_8),Y_19))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_8),X_23)))).
% 214.44/213.20 all Z_8 Y_19 X_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_19),X_23))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Z_8),Y_19))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Z_8),X_23)))).
% 214.44/213.20 all Z_8 Y_19 X_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_19),X_23))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_8),Y_19))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_8),X_23)))).
% 214.44/213.20 all Z_7 X_22 Y_18 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_22),Y_18))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_18),Z_7))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_22),Z_7)))).
% 214.44/213.20 all Z_2 Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Z_2))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Z_2)))).
% 214.44/213.20 all Z_2 Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Z_2))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Z_2)))).
% 214.44/213.20 all Z_7 X_22 Y_18 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_22),Y_18))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_18),Z_7))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_22),Z_7)))).
% 214.44/213.20 all Z_7 X_22 Y_18 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_22),Y_18))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_18),Z_7))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_22),Z_7)))).
% 214.44/213.20 all Z_7 X_22 Y_18 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_22),Y_18))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_18),Z_7))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_22),Z_7)))).
% 214.44/213.20 all Z_7 X_22 Y_18 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_22),Y_18))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_18),Z_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_22),Z_7)))).
% 214.44/213.20 all B_40 A_58 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_40),A_58))-> (A_58!=B_40->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_40),A_58)))).
% 214.44/213.20 all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_1),A_1))-> (A_1!=B_1->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,B_1),A_1)))).
% 214.44/213.20 all B_1 A_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),A_1))-> (A_1!=B_1->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B_1),A_1)))).
% 214.44/213.20 all B_40 A_58 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_40),A_58))-> (A_58!=B_40->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_40),A_58)))).
% 214.44/213.20 all B_40 A_58 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_40),A_58))-> (A_58!=B_40->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_40),A_58)))).
% 214.44/213.20 all B_40 A_58 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_40),A_58))-> (A_58!=B_40->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_40),A_58)))).
% 214.44/213.20 all B_40 A_58 (is_int(B_40)&is_int(A_58)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_40),A_58))-> (A_58!=B_40->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_40),A_58))))).
% 214.44/213.20 all A_57 B_39 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_57),B_39))-> (A_57!=B_39->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_57),B_39)))).
% 214.44/213.20 all A_1 B_1 (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_1),B_1))-> (A_1!=B_1->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A_1),B_1)))).
% 214.44/213.20 all A_1 B_1 (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_1))-> (A_1!=B_1->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A_1),B_1)))).
% 214.44/213.20 all A_57 B_39 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_57),B_39))-> (A_57!=B_39->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_57),B_39)))).
% 214.44/213.20 all A_57 B_39 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_57),B_39))-> (A_57!=B_39->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_57),B_39)))).
% 214.44/213.20 all A_57 B_39 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_57),B_39))-> (A_57!=B_39->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_57),B_39)))).
% 214.44/213.20 all A_57 B_39 (is_int(A_57)&is_int(B_39)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_57),B_39))-> (A_57!=B_39->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_57),B_39))))).
% 214.44/213.20 all X_21 Y_17 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_21),Y_17))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_21),Y_17))|X_21=Y_17).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))|Xa=Ya).
% 214.44/213.20 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))|Xa=Ya).
% 214.44/213.20 all X_21 Y_17 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_21),Y_17))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_21),Y_17))|X_21=Y_17).
% 214.44/213.20 all X_21 Y_17 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_21),Y_17))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_21),Y_17))|X_21=Y_17).
% 214.44/213.21 all X_21 Y_17 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_21),Y_17))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_21),Y_17))|X_21=Y_17).
% 214.44/213.21 all X_21 Y_17 (is_int(X_21)&is_int(Y_17)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_21),Y_17))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_21),Y_17))|X_21=Y_17)).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))-> (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Xa),Ya))-> (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))<->Xa=Ya)).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))-> (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->Xa=Ya)).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.21 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))<->Xa=Ya))).
% 214.44/213.21 all X_20 Y_16 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_20),Y_16))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_20),Y_16))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))).
% 214.44/213.21 all X_20 Y_16 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_20),Y_16))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_20),Y_16))).
% 214.44/213.21 all X_20 Y_16 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_20),Y_16))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_20),Y_16))).
% 214.44/213.21 all X_20 Y_16 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_20),Y_16))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_20),Y_16))).
% 214.44/213.21 all X_20 Y_16 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_20),Y_16))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_20),Y_16))).
% 214.44/213.21 all Y_15 X_19 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_15),X_19))-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_19),Y_15))).
% 214.44/213.21 all Y_15 X_19 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_15),X_19))-> -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_19),Y_15))).
% 214.44/213.21 all Y_15 X_19 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_15),X_19))-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_19),Y_15))).
% 214.44/213.21 all Y_15 X_19 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_15),X_19))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_19),Y_15))).
% 214.44/213.21 all Y_15 X_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_15),X_19))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_19),Y_15))).
% 214.44/213.21 all A_56 B_38 (A_56!=B_38-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_38),A_56))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,B_38),A_56)))).
% 214.44/213.21 all A_1 B_1 (A_1!=B_1-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,B_1),A_1))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,B_1),A_1)))).
% 214.44/213.21 all A_1 B_1 (A_1!=B_1-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,B_1),A_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,B_1),A_1)))).
% 214.44/213.21 all A_56 B_38 (A_56!=B_38-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,B_38),A_56))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,B_38),A_56)))).
% 214.44/213.21 all A_56 B_38 (A_56!=B_38-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_38),A_56))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_38),A_56)))).
% 214.44/213.21 all A_56 B_38 (A_56!=B_38-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,B_38),A_56))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,B_38),A_56)))).
% 214.44/213.21 all A_56 B_38 (is_int(A_56)&is_int(B_38)-> (A_56!=B_38-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_38),A_56))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_38),A_56))))).
% 214.44/213.21 all A_55 B_37 (A_55!=B_37-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_55),B_37))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_55),B_37)))).
% 214.44/213.21 all A_1 B_1 (A_1!=B_1-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A_1),B_1))->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A_1),B_1)))).
% 214.44/213.21 all A_1 B_1 (A_1!=B_1-> (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A_1),B_1))->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A_1),B_1)))).
% 214.44/213.21 all A_55 B_37 (A_55!=B_37-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,A_55),B_37))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,A_55),B_37)))).
% 214.44/213.21 all A_55 B_37 (A_55!=B_37-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_55),B_37))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_55),B_37)))).
% 214.44/213.21 all A_55 B_37 (A_55!=B_37-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_55),B_37))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_55),B_37)))).
% 214.44/213.21 all A_55 B_37 (is_int(A_55)&is_int(B_37)-> (A_55!=B_37-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_55),B_37))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_55),B_37))))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Xa),Ya))<->Xa=Ya)).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->Xa=Ya)).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.21 all Xa Ya (is_int(Xa)&is_int(Ya)-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))<->Xa=Ya))).
% 214.44/213.21 all Y_14 X_18 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_14),X_18))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_18),Y_14))).
% 214.44/213.21 all Y_14 X_18 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_14),X_18))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_18),Y_14))).
% 214.44/213.21 all Y_14 X_18 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_14),X_18))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_18),Y_14))).
% 214.44/213.21 all Y_14 X_18 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_14),X_18))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_18),Y_14))).
% 214.44/213.21 all Y_14 X_18 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_14),X_18))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_18),Y_14))).
% 214.44/213.21 all X_17 Y_13 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_17),Y_13))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Y_13),X_17))).
% 214.44/213.21 all X_17 Y_13 (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_17),Y_13))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Y_13),X_17))).
% 214.44/213.21 all X_17 Y_13 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_17),Y_13))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_13),X_17))).
% 214.44/213.21 all X_17 Y_13 (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_17),Y_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y_13),X_17))).
% 214.44/213.21 all X_17 Y_13 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_17),Y_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y_13),X_17))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))|Xa=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))|Xa=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))|Xa=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Xa),Ya))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))|Xa=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))|Xa=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))|Xa=Ya).
% 214.44/213.21 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))|Xa=Ya)).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))& -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ya),Xa))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))& -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Ya),Xa))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))& -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Ya),Xa))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Xa),Ya))& -hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Ya),Xa))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))& -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))& -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),Xa))).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))&Xa!=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))&Xa!=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))&Xa!=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Xa),Ya))&Xa!=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))&Xa!=Ya).
% 214.44/213.21 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))&Xa!=Ya).
% 214.44/213.21 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))&Xa!=Ya)).
% 214.44/213.21 all X_16 Y_12 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_16),Y_12))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Y_12),X_16))).
% 214.44/213.21 all X_16 Y_12 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_16),Y_12))|hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Y_12),X_16))).
% 214.44/213.21 all X_16 Y_12 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_16),Y_12))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_12),X_16))).
% 214.44/213.21 all X_16 Y_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_16),Y_12))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Y_12),X_16))).
% 214.44/213.21 all X_16 Y_12 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_16),Y_12))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y_12),X_16))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Xa),Ya))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Xa),Ya))<->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))).
% 214.44/213.21 all Xa Ya (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),Xa))).
% 214.44/213.21 all P_2 P_1 Xa ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(P_1)<->hBOOL(P_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))&hBOOL(P_1)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))&hBOOL(P_2))).
% 214.44/213.21 all P_2 P_1 Xa ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(P_1)<->hBOOL(P_2)))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hBOOL(P_1))<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hBOOL(P_2)))).
% 214.44/213.21 all X_15 Y_11 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_15),Y_11)),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_15),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_11),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_15)),Y_11))).
% 214.44/213.21 all X_15 Y_11 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_15),Y_11)),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_15),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_11),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_15)),Y_11))).
% 214.44/213.21 all X_15 Y_11 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_15),Y_11)),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_15),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_11),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_15)),Y_11))).
% 214.44/213.21 all X_15 Y_11 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_15),Y_11)),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_15),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_11),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_15)),Y_11))).
% 214.44/213.21 all X_15 Y_11 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_15),Y_11)),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_15),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_11),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_15)),Y_11))).
% 214.44/213.21 all R_2 Q_1 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_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),Q_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),one_one_int))))).
% 214.44/213.21 all R_2 Q_1 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_2),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),Q_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),A_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),Q_1))))).
% 214.44/213.21 all Na P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,Na))-> (exists K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),Na))& (all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K_1))-> -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_1),one_one_nat))))))).
% 214.44/213.21 all K P_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),D_1))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> (all X_1 (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_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,K),D_1))))))))).
% 214.44/213.21 -(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),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(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)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))))).
% 214.44/213.21 all B_5 Q_5 R_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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),Q_5)),R_4)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_4),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_5))))).
% 214.44/213.21 all B_5 Q_5 R_4 (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_5)),R_4)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_4))-> (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_5),zero_zero_int))))).
% 214.44/213.21 all B_2 Q_5 R_4 Q_1 R_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,B_2),Q_5)),R_4)),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_1)),R_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_4))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_4),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_5),Q_1)))))).
% 214.44/213.21 all B_2 Q_1 R_2 B_5 Q_5 R_4 (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_1)),R_2)=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_5)),R_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,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_5),Q_5)),R_4)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_4),B_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_2))-> (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_1),Q_5)))))))).
% 214.44/213.21 all B_2 Q_5 R_4 Q_1 R_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,B_2),Q_5)),R_4)),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_1)),R_2)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_2),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_2),R_4))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Q_1),Q_5)))))).
% 214.44/213.21 -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)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,zero_zero_nat))))).
% 214.44/213.21 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))).
% 214.44/213.21 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))).
% 214.44/213.21 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))).
% 214.44/213.21 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),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))).
% 214.44/213.21 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)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))).
% 214.44/213.21 -(all X_1 Y_1 (is_int(X_1)&is_int(Y_1)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_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_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)))))!=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)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))).
% 214.44/213.21 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).
% 214.44/213.21 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))).
% 214.44/213.21 t=one_one_int-> (exists X_1 Y_1 (is_int(X_1)&is_int(Y_1)&hAPP_int_int(hAPP_int_fun_int_int(plus_plus_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_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)))))=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))).
% 214.44/213.21 all F G (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,F),G))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,F),G))& -hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,G),F))).
% 214.44/213.21 all F G (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,F),G))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,F),G))& -hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,G),F))).
% 214.44/213.21 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)).
% 214.44/213.21 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)))).
% 214.44/213.21 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))).
% 214.44/213.21 all W hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,W),W)).
% 214.44/213.21 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)).
% 214.44/213.21 all M N 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)),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),K_2))).
% 214.44/213.21 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,zero_zero_nat),N)=zero_zero_nat).
% 214.44/213.21 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),zero_zero_nat)=zero_zero_nat).
% 214.44/213.21 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),Na)=zero_zero_nat<->Ma=zero_zero_nat|Na=zero_zero_nat).
% 214.44/213.21 all K Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)<->Ma=Na|K=zero_zero_nat).
% 214.44/213.21 all Ma K Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)<->Ma=Na|K=zero_zero_nat).
% 214.44/213.21 all X_14 P_6 Q_7 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_14),P_6)),Q_7)=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_14),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_6),Q_7))).
% 214.44/213.21 all X_14 P_6 Q_7 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_14),P_6)),Q_7)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_14),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_6),Q_7))).
% 214.44/213.21 all X_14 P_6 Q_7 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_14),P_6)),Q_7)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_14),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_6),Q_7))).
% 214.44/213.21 all X_14 P_6 Q_7 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_14),P_6)),Q_7)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_14),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_6),Q_7))).
% 214.44/213.21 all A_54 M_11 N_21 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_54),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_11),N_21))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_54),M_11)),N_21)).
% 214.44/213.21 all A_54 M_11 N_21 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_54),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_11),N_21))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_54),M_11)),N_21)).
% 214.44/213.21 all A_54 M_11 N_21 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_54),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_11),N_21))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_54),M_11)),N_21)).
% 214.44/213.21 all A_54 M_11 N_21 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_54),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_11),N_21))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_54),M_11)),N_21)).
% 214.44/213.21 all A_1 B_1 C (C!=zero_zero_real-> (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A_1)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B_1)<->A_1=B_1)).
% 214.44/213.21 all A_1 B_1 C (C!=zero_zero_real-> (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),C)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),C)<->A_1=B_1)).
% 214.44/213.21 all M N 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)),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),K_2))).
% 214.44/213.21 all K_2 M N (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))=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))).
% 214.44/213.21 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))).
% 214.44/213.21 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)))).
% 214.44/213.21 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)))).
% 214.44/213.21 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)))).
% 214.44/213.21 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))))).
% 214.44/213.21 all Na Ma (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),Ma)=one_one_nat<->Na=one_one_nat&Ma=one_one_nat).
% 214.44/213.21 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),Na)=one_one_nat<->Ma=one_one_nat&Na=one_one_nat).
% 214.44/213.21 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),one_one_nat)=N).
% 214.44/213.21 all Ma Na (one_one_nat=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),Na)<->Ma=one_one_nat&Na=one_one_nat).
% 214.44/213.21 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,one_one_nat),N)=N).
% 214.44/213.21 all Z_1 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,one_one_real),Z_1)=Z_1).
% 214.44/213.21 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))).
% 214.44/213.21 all X Y 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),Y)),Z_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Y),Z_1))).
% 214.44/213.21 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))))).
% 214.44/213.21 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))))).
% 214.44/213.21 all Ma K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.44/213.21 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.44/213.21 all Ma Na (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),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ma))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.44/213.21 all Xa (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa),Xa)))<->Xa=zero_zero_real).
% 214.44/213.21 all X Y 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),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_1),X)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_1),Y))))).
% 214.44/213.21 all Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y))))).
% 214.44/213.21 all Xa Ya 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,Xa),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ya),Z_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)))).
% 214.44/213.21 all Xa Ya 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),Xa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Z_2),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)))).
% 214.44/213.21 all Xa Ya 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,Xa),Z_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ya),Z_2)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)))).
% 214.44/213.21 all M N (M=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)->N=one_one_nat|M=zero_zero_nat).
% 214.44/213.21 all Xa Ya (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Xa),Xa)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Ya),Ya))=zero_zero_real<->Xa=zero_zero_real&Ya=zero_zero_real).
% 214.44/213.21 all M N (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N))).
% 214.44/213.21 all M N (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N))).
% 214.44/213.21 all X Y (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y))).
% 214.44/213.21 all Y X (hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,X))-> (hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,Y))->hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y))))).
% 214.44/213.21 all Ma K Na (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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)))).
% 214.44/213.21 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)))).
% 214.44/213.21 all A_53 N_20 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_53),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_20))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_53),N_20)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.21 all A_53 N_20 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_53),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_20))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_53),N_20)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.21 all A_53 N_20 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_53),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_20))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_53),N_20)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.21 all A_53 N_20 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_53),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_20))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_53),N_20)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.21 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)).
% 214.44/213.21 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)).
% 214.44/213.21 all V_2 K_2 V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),K_2))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_2)),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_1),V_2))),K_2))).
% 214.44/213.21 all V_2 V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_1)),hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(number_number_of_nat,V_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,V_1),V_2)))).
% 214.44/213.21 all X (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),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.21 all A_52 K_7 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_52),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_7))),zero_zero_rat))->A_52=zero_zero_rat).
% 214.44/213.21 all A_52 K_7 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_52),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_7))),zero_zero_real))->A_52=zero_zero_real).
% 214.44/213.21 all A_52 K_7 (is_int(A_52)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_52),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_7))),zero_zero_int))->A_52=zero_zero_int)).
% 214.44/213.21 all A_51 N_19 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_51),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_19)))).
% 214.44/213.21 all A_51 N_19 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_51),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_19)))).
% 214.44/213.21 all A_51 N_19 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_51),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_19)))).
% 214.44/213.21 all B_2 Q_1 R_2 B_5 Q_5 R_4 (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_1)),R_2)=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_5)),R_4)-> (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_5)),R_4)),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),B_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),R_4))-> (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_5),Q_1)))))))).
% 214.44/213.21 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(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)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))).
% 214.44/213.21 all X Y (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y)),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),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),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)),Y))).
% 214.44/213.21 -(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))).
% 214.44/213.21 all Ma Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na)))).
% 214.44/213.21 all Ma K F ((all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(F,M_1)),hAPP_nat_nat(F,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,hAPP_nat_nat(F,Ma)),K)),hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),K))))).
% 214.44/213.21 all Na P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> (hBOOL(hAPP_nat_bool(P_1,Na))-> (exists K_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),Na))& (all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),K_1))-> -hBOOL(hAPP_nat_bool(P_1,I_2))))&hBOOL(hAPP_nat_bool(P_1,K_1)))))).
% 214.44/213.21 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.
% 214.44/213.21 all N 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)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),M)->N=M)).
% 214.44/213.21 all Ma Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)))).
% 214.44/213.21 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)).
% 214.44/213.21 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))).
% 214.44/213.21 hAPP_int_int(bit1,min)=min.
% 214.44/213.21 all L (is_int(L)-> (min=hAPP_int_int(bit1,L)<->min=L)).
% 214.44/213.21 all K (is_int(K)-> (hAPP_int_int(bit1,K)=min<->K=min)).
% 214.44/213.21 min!=pls.
% 214.44/213.21 pls!=min.
% 214.44/213.21 all L_2 (min!=hAPP_int_int(bit0,L_2)).
% 214.44/213.21 all K_2 (hAPP_int_int(bit0,K_2)!=min).
% 214.44/213.21 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),min)).
% 214.44/213.21 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),min)).
% 214.44/213.21 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit1,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K))).
% 214.44/213.21 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit1,K)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),min))).
% 214.44/213.21 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),pls)).
% 214.44/213.21 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),min)).
% 214.44/213.21 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),hAPP_int_int(bit0,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K))).
% 214.44/213.21 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit1,K)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min))).
% 214.44/213.21 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit1,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),K))).
% 214.44/213.21 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),zero_zero_int)).
% 214.44/213.21 -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,pls),min)).
% 214.44/213.21 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),pls)).
% 214.44/213.21 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(bit0,K)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min))).
% 214.44/213.21 hAPP_int_int(number_number_of_int,pls)!=hAPP_int_int(number_number_of_int,min).
% 214.44/213.21 hAPP_int_int(succ,min)=pls.
% 214.44/213.21 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).
% 214.44/213.21 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(bit0,K)),min))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),min))).
% 214.44/213.21 all K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,min),hAPP_int_int(bit0,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,min),K))).
% 214.44/213.21 all M N (is_int(M)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N)=one_one_int->M=one_one_int|M=hAPP_int_int(number_number_of_int,min))).
% 214.44/213.21 all Ma Na (is_int(Ma)&is_int(Na)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),Na)=one_one_int<->Ma=one_one_int&Na=one_one_int|Ma=hAPP_int_int(number_number_of_int,min)&Na=hAPP_int_int(number_number_of_int,min))).
% 214.44/213.21 hBOOL(hAPP_int_bool(zprime,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.21 all K Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)<->K=zero_zero_nat|Ma=Na).
% 214.44/213.21 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)).
% 214.44/213.21 all N_18 (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_18))=one_one_rat).
% 214.44/213.21 all N_18 (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_18))=one_one_complex).
% 214.44/213.21 all N_18 (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_18))=one_one_real).
% 214.44/213.21 all N_18 (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_18))=one_one_int).
% 214.44/213.21 all Ma Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)<->Ma=Na)).
% 214.44/213.21 -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.
% 214.44/213.21 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))).
% 214.44/213.21 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))).
% 214.44/213.21 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))).
% 214.44/213.21 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).
% 214.44/213.21 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),s)).
% 214.44/213.21 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))).
% 214.44/213.21 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))).
% 214.44/213.21 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))).
% 214.44/213.21 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)))))).
% 214.44/213.21 -(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))))).
% 214.44/213.21 all A_50 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_50),zero_zero_nat)).
% 214.44/213.21 all A_50 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_50),zero_zero_int)).
% 214.44/213.21 all A_50 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_50),zero_zero_rat)).
% 214.44/213.21 all A_50 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_50),zero_z891286103de_int)).
% 214.44/213.21 all A_50 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_50),zero_zero_complex)).
% 214.44/213.21 all A_50 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,A_50),zero_z126310315umeral)).
% 214.44/213.21 all A_50 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_50),zero_zero_real)).
% 214.44/213.21 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)))).
% 214.44/213.21 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))).
% 214.44/213.21 -(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)))))).
% 214.44/213.21 exists 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(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_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(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)))& (all Y_1 (is_int(Y_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_int,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_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_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(bit0,hAPP_int_int(bit1,pls))))),m)),one_one_int)))->Y_1=X_1)))).
% 214.44/213.21 all Z_6 X_13 Y_10 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_13),Y_10))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_13),Z_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_13),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_10),Z_6))))).
% 214.44/213.21 all Z_6 X_13 Y_10 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_13),Y_10))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_13),Z_6))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_13),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Y_10),Z_6))))).
% 214.44/213.21 all Z_6 X_13 Y_10 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_13),Y_10))-> (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_13),Z_6))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_13),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_10),Z_6))))).
% 214.44/213.21 all Z_6 X_13 Y_10 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_13),Y_10))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_13),Z_6))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_13),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_10),Z_6))))).
% 214.44/213.21 all C_15 A_49 B_36 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_49),B_36))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_36),C_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_49),C_15)))).
% 214.44/213.21 all C_15 A_49 B_36 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_49),B_36))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_36),C_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_49),C_15)))).
% 214.44/213.21 all A_48 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_48),A_48)).
% 214.44/213.21 all A_48 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_48),A_48)).
% 214.44/213.21 all K_2 M N (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)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M)))).
% 214.44/213.21 all A_1 B_1 C D_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_1),B_1)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D_1)-> (A_1=B_1<->C=D_1)).
% 214.44/213.21 all A_1 B_1 C D_1 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_1),B_1)=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C),D_1)-> (A_1=B_1<->C=D_1)).
% 214.44/213.21 all A_1 B_1 C D_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_1),B_1)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D_1)-> (A_1=B_1<->C=D_1)).
% 214.44/213.21 all A_1 B_1 C D_1 (is_int(A_1)&is_int(B_1)&is_int(C)&is_int(D_1)-> (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),B_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D_1)-> (A_1=B_1<->C=D_1))).
% 214.44/213.21 all V_7 W_3 (hAPP_int_rat(number_number_of_rat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_7),W_3))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,V_7)),hAPP_int_rat(number_number_of_rat,W_3))).
% 214.44/213.21 all V_7 W_3 (hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_7),W_3))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,V_7)),hAPP_int_complex(number528085621omplex,W_3))).
% 214.44/213.21 all V_7 W_3 (hAPP_int_real(number267125858f_real,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_7),W_3))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,V_7)),hAPP_int_real(number267125858f_real,W_3))).
% 214.44/213.21 all V_7 W_3 (hAPP_int_int(number_number_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,V_7),W_3))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_7)),hAPP_int_int(number_number_of_int,W_3))).
% 214.44/213.21 all A_1 P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),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_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)),P_5))).
% 214.44/213.21 all Ta D_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),D))-> (all X_1 K_1 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Ta)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_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,K_1),D))),Ta)))))).
% 214.44/213.21 all Ta D_1 D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D_1),D))-> (all X_1 K_1 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Ta)))<-> -hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,K_1),D))),Ta)))))).
% 214.44/213.21 all Ta D_1 D (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D_1),D))-> (all X_1 K_1 (-hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D_1),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Ta)))<-> -hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D_1),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,K_1),D))),Ta)))))).
% 214.44/213.21 all Ta D_1 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D_1),D))-> (all X_1 K_1 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Ta)))<-> -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,K_1),D))),Ta)))))).
% 214.44/213.21 all Ta D_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),D))-> (all X_1 K_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Ta)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_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,K_1),D))),Ta)))))).
% 214.44/213.21 all Ta D_1 D (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D_1),D))-> (all X_1 K_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),Ta)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,D_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_1),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,K_1),D))),Ta)))))).
% 214.44/213.21 all Ta D_1 D (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D_1),D))-> (all X_1 K_1 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D_1),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),Ta)))<->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,D_1),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_1),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,K_1),D))),Ta)))))).
% 214.44/213.21 all Ta D_1 D (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D_1),D))-> (all X_1 K_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),Ta)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,D_1),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,K_1),D))),Ta)))))).
% 214.44/213.21 all N_17 M_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_17),M_10))->hAPP_nat_rat(semiri151668891at_rat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_10),N_17))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_nat_rat(semiri151668891at_rat,M_10)),hAPP_nat_rat(semiri151668891at_rat,N_17))).
% 214.44/213.22 all N_17 M_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_17),M_10))->hAPP_nat_complex(semiri2020571505omplex,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_10),N_17))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_nat_complex(semiri2020571505omplex,M_10)),hAPP_nat_complex(semiri2020571505omplex,N_17))).
% 214.44/213.22 all N_17 M_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_17),M_10))->hAPP_nat_real(semiri132038758t_real,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_10),N_17))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(semiri132038758t_real,M_10)),hAPP_nat_real(semiri132038758t_real,N_17))).
% 214.44/213.22 all N_17 M_10 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_17),M_10))->hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M_10),N_17))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M_10)),hAPP_nat_int(semiri1621563631at_int,N_17))).
% 214.44/213.22 all A_47 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_47))->A_47=zero_zero_nat).
% 214.44/213.22 all A_47 (is_int(A_47)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,zero_zero_int),A_47))->A_47=zero_zero_int)).
% 214.44/213.22 all A_47 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,zero_zero_rat),A_47))->A_47=zero_zero_rat).
% 214.44/213.22 all A_47 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,zero_z891286103de_int),A_47))->A_47=zero_z891286103de_int).
% 214.44/213.22 all A_47 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,zero_zero_complex),A_47))->A_47=zero_zero_complex).
% 214.44/213.22 all A_47 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,zero_z126310315umeral),A_47))->A_47=zero_z126310315umeral).
% 214.44/213.22 all A_47 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,zero_zero_real),A_47))->A_47=zero_zero_real).
% 214.44/213.22 all A_46 B_35 C_14 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_46),B_35)),C_14))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_35),C_14))).
% 214.44/213.22 all A_46 B_35 C_14 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_46),B_35)),C_14))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_35),C_14))).
% 214.44/213.22 all A_46 B_35 C_14 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_46),B_35)),C_14))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,B_35),C_14))).
% 214.44/213.22 all A_46 B_35 C_14 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_46),B_35)),C_14))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,B_35),C_14))).
% 214.44/213.22 all A_46 B_35 C_14 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_46),B_35)),C_14))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,B_35),C_14))).
% 214.44/213.22 all A_46 B_35 C_14 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_46),B_35)),C_14))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,B_35),C_14))).
% 214.44/213.22 all A_45 B_34 C_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_45),B_34)),C_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_45),C_13))).
% 214.44/213.22 all A_45 B_34 C_13 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_45),B_34)),C_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_45),C_13))).
% 214.44/213.22 all A_45 B_34 C_13 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_45),B_34)),C_13))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_45),C_13))).
% 214.44/213.22 all A_45 B_34 C_13 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_45),B_34)),C_13))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_45),C_13))).
% 214.44/213.22 all A_45 B_34 C_13 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_45),B_34)),C_13))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_45),C_13))).
% 214.44/213.22 all A_45 B_34 C_13 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_45),B_34)),C_13))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_45),C_13))).
% 214.44/213.22 all A_44 B_33 K_6 (A_44=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_33),K_6)->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_33),A_44))).
% 214.44/213.22 all A_44 B_33 K_6 (A_44=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_33),K_6)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,B_33),A_44))).
% 214.44/213.22 all A_44 B_33 K_6 (A_44=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_33),K_6)->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,B_33),A_44))).
% 214.44/213.22 all A_44 B_33 K_6 (A_44=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_33),K_6)->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,B_33),A_44))).
% 214.44/213.22 all A_44 B_33 K_6 (A_44=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_33),K_6)->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,B_33),A_44))).
% 214.44/213.22 all A_44 B_33 K_6 (A_44=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_33),K_6)->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,B_33),A_44))).
% 214.44/213.22 all C_12 D_8 A_43 B_32 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_43),B_32))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,C_12),D_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_43),C_12)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_32),D_8))))).
% 214.44/213.22 all C_12 D_8 A_43 B_32 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_43),B_32))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,C_12),D_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_43),C_12)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_32),D_8))))).
% 214.44/213.22 all C_12 D_8 A_43 B_32 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_43),B_32))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,C_12),D_8))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_43),C_12)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_32),D_8))))).
% 214.44/213.22 all C_12 D_8 A_43 B_32 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_43),B_32))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,C_12),D_8))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_43),C_12)),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_32),D_8))))).
% 214.44/213.22 all C_12 D_8 A_43 B_32 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_43),B_32))-> (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,C_12),D_8))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_43),C_12)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_32),D_8))))).
% 214.44/213.22 all C_12 D_8 A_43 B_32 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_43),B_32))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,C_12),D_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_43),C_12)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_32),D_8))))).
% 214.44/213.22 all B_31 A_42 C_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_42),C_11))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_42),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_31),C_11)))).
% 214.44/213.22 all B_31 A_42 C_11 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_42),C_11))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_42),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_31),C_11)))).
% 214.44/213.22 all B_31 A_42 C_11 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_42),C_11))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_42),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_31),C_11)))).
% 214.44/213.22 all B_31 A_42 C_11 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_42),C_11))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_42),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_31),C_11)))).
% 214.44/213.22 all B_31 A_42 C_11 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_42),C_11))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_42),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_31),C_11)))).
% 214.44/213.22 all B_31 A_42 C_11 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_42),C_11))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_42),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_31),C_11)))).
% 214.44/213.22 all C_10 A_41 B_30 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_41),B_30))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_41),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_30),C_10)))).
% 214.44/213.22 all C_10 A_41 B_30 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_41),B_30))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_41),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_30),C_10)))).
% 214.44/213.22 all C_10 A_41 B_30 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_41),B_30))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_41),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_30),C_10)))).
% 214.44/213.22 all C_10 A_41 B_30 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_41),B_30))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_41),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_30),C_10)))).
% 214.44/213.22 all C_10 A_41 B_30 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_41),B_30))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_41),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_30),C_10)))).
% 214.44/213.22 all C_10 A_41 B_30 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_41),B_30))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_41),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_30),C_10)))).
% 214.44/213.22 all A_40 B_29 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_40),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_29),A_40))).
% 214.44/213.22 all A_40 B_29 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_40),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_29),A_40))).
% 214.44/213.22 all A_40 B_29 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_40),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_29),A_40))).
% 214.44/213.22 all A_40 B_29 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_40),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,B_29),A_40))).
% 214.44/213.22 all A_40 B_29 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_40),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_29),A_40))).
% 214.44/213.22 all A_40 B_29 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_40),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_29),A_40))).
% 214.44/213.22 all A_39 B_28 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_39),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_39),B_28))).
% 214.44/213.22 all A_39 B_28 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_39),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_39),B_28))).
% 214.44/213.22 all A_39 B_28 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_39),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_39),B_28))).
% 214.44/213.22 all A_39 B_28 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_39),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,A_39),B_28))).
% 214.44/213.22 all A_39 B_28 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_39),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_39),B_28))).
% 214.44/213.22 all A_39 B_28 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_39),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_39),B_28))).
% 214.44/213.22 all C_9 A_38 B_27 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_38),B_27))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_38),C_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_38),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_27),C_9))))).
% 214.44/213.22 all C_9 A_38 B_27 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_38),B_27))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_38),C_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_38),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_27),C_9))))).
% 214.44/213.22 all C_9 A_38 B_27 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_38),B_27))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_38),C_9))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_38),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_27),C_9))))).
% 214.44/213.22 all C_9 A_38 B_27 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_38),B_27))-> (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_38),C_9))->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,A_38),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,B_27),C_9))))).
% 214.44/213.22 all C_9 A_38 B_27 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_38),B_27))-> (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_38),C_9))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_38),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_27),C_9))))).
% 214.44/213.22 all C_9 A_38 B_27 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_38),B_27))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_38),C_9))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_38),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_27),C_9))))).
% 214.44/213.22 all A_37 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_37)).
% 214.44/213.22 all A_37 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,one_one_int),A_37)).
% 214.44/213.22 all A_37 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,one_one_rat),A_37)).
% 214.44/213.22 all A_37 hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,one_on1684967323de_int),A_37)).
% 214.44/213.22 all A_37 hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,one_one_complex),A_37)).
% 214.44/213.22 all A_37 hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,one_on1645066479umeral),A_37)).
% 214.44/213.22 all A_37 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,one_one_real),A_37)).
% 214.44/213.22 all N_16 X_12 Y_9 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_12),Y_9))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_12),N_16)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_9),N_16)))).
% 214.44/213.22 all N_16 X_12 Y_9 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_12),Y_9))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_12),N_16)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_9),N_16)))).
% 214.44/213.22 all N_16 X_12 Y_9 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_12),Y_9))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_12),N_16)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_9),N_16)))).
% 214.44/213.22 all N_16 X_12 Y_9 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_12),Y_9))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_12),N_16)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_9),N_16)))).
% 214.44/213.22 all A_1 B_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_1),B_1)=zero_zero_rat<->A_1=B_1).
% 214.44/213.22 all A_1 B_1 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_1),B_1)=zero_zero_complex<->A_1=B_1).
% 214.44/213.22 all A_1 B_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_1),B_1)=zero_zero_real<->A_1=B_1).
% 214.44/213.22 all A_1 B_1 (is_int(A_1)&is_int(B_1)-> (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),B_1)=zero_zero_int<->A_1=B_1)).
% 214.44/213.22 all A_1 B_1 (A_1=B_1<->hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_1),B_1)=zero_zero_rat).
% 214.44/213.22 all A_1 B_1 (A_1=B_1<->hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_1),B_1)=zero_zero_complex).
% 214.44/213.22 all A_1 B_1 (A_1=B_1<->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_1),B_1)=zero_zero_real).
% 214.44/213.22 all A_1 B_1 (is_int(A_1)&is_int(B_1)-> (A_1=B_1<->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),B_1)=zero_zero_int)).
% 214.44/213.22 all A_36 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_36),A_36)=zero_zero_rat).
% 214.44/213.22 all A_36 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_36),A_36)=zero_zero_complex).
% 214.44/213.22 all A_36 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_36),A_36)=zero_zero_real).
% 214.44/213.22 all A_36 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_36),A_36)=zero_zero_int).
% 214.44/213.22 all A_35 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_35),zero_zero_rat)=A_35).
% 214.44/213.22 all A_35 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_35),zero_zero_complex)=A_35).
% 214.44/213.22 all A_35 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_35),zero_zero_real)=A_35).
% 214.44/213.22 all A_35 (is_int(A_35)->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_35),zero_zero_int)=A_35).
% 214.44/213.22 all A_1 B_1 C D_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_1),B_1)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D_1)-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_1),B_1))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,C),D_1)))).
% 214.44/213.22 all A_1 B_1 C D_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_1),B_1)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D_1)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,C),D_1)))).
% 214.44/213.22 all A_1 B_1 C D_1 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),B_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,C),D_1)))).
% 214.44/213.22 all A_1 B_1 C D_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_1),B_1)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C),D_1)-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_1),B_1))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,C),D_1)))).
% 214.44/213.22 all A_1 B_1 C D_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_1),B_1)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C),D_1)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,C),D_1)))).
% 214.44/213.22 all A_1 B_1 C D_1 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),B_1)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C),D_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,C),D_1)))).
% 214.44/213.22 all A_34 B_26 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_34),B_26)),B_26)=A_34).
% 214.44/213.22 all A_34 B_26 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_34),B_26)),B_26)=A_34).
% 214.44/213.22 all A_34 B_26 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_34),B_26)),B_26)=A_34).
% 214.44/213.22 all A_34 B_26 (is_int(A_34)->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_34),B_26)),B_26)=A_34).
% 214.44/213.22 all A_33 B_25 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_33),B_25)),B_25)=A_33).
% 214.44/213.22 all A_33 B_25 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_33),B_25)),B_25)=A_33).
% 214.44/213.22 all A_33 B_25 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_33),B_25)),B_25)=A_33).
% 214.44/213.22 all A_33 B_25 (is_int(A_33)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_33),B_25)),B_25)=A_33).
% 214.44/213.22 all A_32 C_8 B_24 D_7 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_32),C_8)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,B_24),D_7))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_32),B_24)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,C_8),D_7))).
% 214.44/213.22 all A_32 C_8 B_24 D_7 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,A_32),C_8)),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,B_24),D_7))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_32),B_24)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,C_8),D_7))).
% 214.44/213.22 all A_32 C_8 B_24 D_7 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_32),C_8)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,B_24),D_7))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_32),B_24)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,C_8),D_7))).
% 214.44/213.22 all A_32 C_8 B_24 D_7 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_32),C_8)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,B_24),D_7))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_32),B_24)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,C_8),D_7))).
% 214.44/213.22 all K_2 (is_int(K_2)->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),pls)=K_2).
% 214.44/213.22 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))).
% 214.44/213.22 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))).
% 214.44/213.22 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))).
% 214.44/213.22 all A_1 C B_1 (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_1),C)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),C)))<->C=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),B_1)))).
% 214.44/213.22 all A_1 C B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_1),C)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_1),C)))<->C=zero_zero_rat|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_1),B_1))).
% 214.44/213.22 all A_1 C B_1 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_1),C)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_1),C)))<->C=zero_zero_complex|hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_1),B_1))).
% 214.44/213.22 all A_1 C B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),C)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),C)))<->C=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_1),B_1))).
% 214.44/213.22 all C A_1 B_1 (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_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1)))<->C=zero_zero_int|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),B_1)))).
% 214.44/213.22 all C A_1 B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),A_1)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C),B_1)))<->C=zero_zero_rat|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,A_1),B_1))).
% 214.44/213.22 all C A_1 B_1 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),A_1)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,C),B_1)))<->C=zero_zero_complex|hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,A_1),B_1))).
% 214.44/213.22 all C A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),A_1)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C),B_1)))<->C=zero_zero_real|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,A_1),B_1))).
% 214.44/213.22 all M_9 A_31 N_15 B_23 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_31),N_15)),B_23))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_9),N_15))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_31),M_9)),B_23)))).
% 214.44/213.22 all M_9 A_31 N_15 B_23 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_31),N_15)),B_23))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_9),N_15))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_31),M_9)),B_23)))).
% 214.44/213.22 all M_9 A_31 N_15 B_23 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_31),N_15)),B_23))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_9),N_15))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_31),M_9)),B_23)))).
% 214.44/213.22 all M_9 A_31 N_15 B_23 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_31),N_15)),B_23))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_9),N_15))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_31),M_9)),B_23)))).
% 214.44/213.22 all N_14 M_8 X_11 Y_8 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_11),Y_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_14),M_8))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_11),N_14)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y_8),M_8))))).
% 214.44/213.22 all N_14 M_8 X_11 Y_8 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_11),Y_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_14),M_8))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_11),N_14)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y_8),M_8))))).
% 214.44/213.22 all N_14 M_8 X_11 Y_8 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_11),Y_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_14),M_8))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_11),N_14)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,Y_8),M_8))))).
% 214.44/213.22 all N_14 M_8 X_11 Y_8 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_11),Y_8))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_14),M_8))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_11),N_14)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y_8),M_8))))).
% 214.44/213.22 all A_30 M_7 N_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_7),N_13))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_30),M_7)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_30),N_13)))).
% 214.44/213.22 all A_30 M_7 N_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_7),N_13))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_30),M_7)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_30),N_13)))).
% 214.44/213.22 all A_30 M_7 N_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_7),N_13))->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_30),M_7)),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,A_30),N_13)))).
% 214.44/213.22 all A_30 M_7 N_13 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_7),N_13))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_30),M_7)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_30),N_13)))).
% 214.44/213.22 all A_1 B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_1),B_1))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_1),B_1)),zero_zero_rat))).
% 214.44/213.22 all A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_1),B_1)),zero_zero_real))).
% 214.44/213.22 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),B_1)),zero_zero_int))).
% 214.44/213.22 all A_1 B_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,A_1),B_1))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_1),B_1)),zero_zero_rat))).
% 214.44/213.22 all A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_1),B_1)),zero_zero_real))).
% 214.44/213.22 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),B_1)),zero_zero_int))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_1),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_1),E_2)),D_1)<->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_1),B_1)),E_2)),C)=D_1).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_1),E_2)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_1),E_2)),D_1)<->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_1),B_1)),E_2)),C)=D_1).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),E_2)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),E_2)),D_1)<->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_1),B_1)),E_2)),C)=D_1).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (is_int(D_1)-> (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),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_1),E_2)),D_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_1),B_1)),E_2)),C)=D_1)).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_1),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_1),E_2)),D_1)<->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_1),A_1)),E_2)),D_1)).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_1),E_2)),C)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_1),E_2)),D_1)<->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_1),A_1)),E_2)),D_1)).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_1),E_2)),C)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),E_2)),D_1)<->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_1),A_1)),E_2)),D_1)).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)<->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_1),A_1)),E_2)),D_1))).
% 214.44/213.22 all X_10 Y_7 A_29 B_22 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_10),Y_7)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_29),B_22))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_10),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Y_7),B_22))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_10),A_29)),B_22))).
% 214.44/213.22 all X_10 Y_7 A_29 B_22 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_10),Y_7)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_29),B_22))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_10),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,Y_7),B_22))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_10),A_29)),B_22))).
% 214.44/213.22 all X_10 Y_7 A_29 B_22 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_10),Y_7)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_29),B_22))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_10),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Y_7),B_22))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_10),A_29)),B_22))).
% 214.44/213.22 all X_10 Y_7 A_29 B_22 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_10),Y_7)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_29),B_22))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_10),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Y_7),B_22))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_10),A_29)),B_22))).
% 214.44/213.22 all V_6 B_21 C_7 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_6)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_21),C_7))=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_6)),B_21)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_int_rat(number_number_of_rat,V_6)),C_7))).
% 214.44/213.22 all V_6 B_21 C_7 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_6)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,B_21),C_7))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_6)),B_21)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_int_complex(number528085621omplex,V_6)),C_7))).
% 214.44/213.22 all V_6 B_21 C_7 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_6)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_21),C_7))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_6)),B_21)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,V_6)),C_7))).
% 214.44/213.22 all V_6 B_21 C_7 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_6)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_21),C_7))=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_6)),B_21)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(number_number_of_int,V_6)),C_7))).
% 214.44/213.22 all A_28 B_20 V_5 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_28),B_20)),hAPP_int_rat(number_number_of_rat,V_5))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_28),hAPP_int_rat(number_number_of_rat,V_5))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,B_20),hAPP_int_rat(number_number_of_rat,V_5)))).
% 214.44/213.22 all A_28 B_20 V_5 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,A_28),B_20)),hAPP_int_complex(number528085621omplex,V_5))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,A_28),hAPP_int_complex(number528085621omplex,V_5))),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,B_20),hAPP_int_complex(number528085621omplex,V_5)))).
% 214.44/213.22 all A_28 B_20 V_5 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_28),B_20)),hAPP_int_real(number267125858f_real,V_5))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_28),hAPP_int_real(number267125858f_real,V_5))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_20),hAPP_int_real(number267125858f_real,V_5)))).
% 214.44/213.22 all A_28 B_20 V_5 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_28),B_20)),hAPP_int_int(number_number_of_int,V_5))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_28),hAPP_int_int(number_number_of_int,V_5))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_20),hAPP_int_int(number_number_of_int,V_5)))).
% 214.44/213.22 all N 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))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M)))).
% 214.44/213.22 all K_2 M N (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)))-> (K_2!=zero_zero_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N))))).
% 214.44/213.22 all Ma Ta K (is_int(K)-> (K!=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),Ma)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),Ta)))))).
% 214.44/213.22 all N M (is_int(N)&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))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M))->M=N))))).
% 214.44/213.22 all Z_1 X Y P_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),Y)),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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Y),Z_1))),one_one_int),P_3))).
% 214.44/213.22 all K Na Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Na),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),Ma))))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Na))).
% 214.44/213.22 all C Xa Ta A_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),D_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa),Ta)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),D_1))),Ta))))).
% 214.44/213.22 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))).
% 214.44/213.22 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))).
% 214.44/213.22 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))).
% 214.44/213.22 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),L)),zero_zero_int))).
% 214.44/213.22 all A_3 N 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)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),A_3)))).
% 214.44/213.22 all K_2 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K_2),min)=hAPP_int_int(succ,K_2)).
% 214.44/213.22 all P_1 L ((exists X_1 hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,L),X_1))))<-> (exists X_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,L),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,X_1),zero_zero_nat)))&hBOOL(hAPP_nat_bool(P_1,X_1))))).
% 214.44/213.22 all P_1 L ((exists X_1 (is_int(X_1)&hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,L),X_1)))))<-> (exists X_1 (is_int(X_1)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,L),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),zero_zero_int)))&hBOOL(hAPP_int_bool(P_1,X_1))))).
% 214.44/213.22 all P_1 L ((exists X_1 hBOOL(hAPP_rat_bool(P_1,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,L),X_1))))<-> (exists X_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,L),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X_1),zero_zero_rat)))&hBOOL(hAPP_rat_bool(P_1,X_1))))).
% 214.44/213.22 all P_1 L ((exists X_1 hBOOL(hAPP_Q2096512830t_bool(P_1,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,L),X_1))))<-> (exists X_1 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,L),hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,X_1),zero_z891286103de_int)))&hBOOL(hAPP_Q2096512830t_bool(P_1,X_1))))).
% 214.44/213.22 all P_1 L ((exists X_1 hBOOL(hAPP_complex_bool(P_1,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,L),X_1))))<-> (exists X_1 (hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,L),hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_1),zero_zero_complex)))&hBOOL(hAPP_complex_bool(P_1,X_1))))).
% 214.44/213.22 all P_1 L ((exists X_1 hBOOL(hAPP_real_bool(P_1,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,L),X_1))))<-> (exists X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,L),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_1),zero_zero_real)))&hBOOL(hAPP_real_bool(P_1,X_1))))).
% 214.44/213.22 all P_1 L ((exists X_1 hBOOL(hAPP_C24501650l_bool(P_1,hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,L),X_1))))<-> (exists X_1 (hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,L),hAPP_C498520661umeral(hAPP_C1594335432umeral(plus_p1627245867umeral,X_1),zero_z126310315umeral)))&hBOOL(hAPP_C24501650l_bool(P_1,X_1))))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)))<->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_1),A_1)),E_2)),D_1)))).
% 214.44/213.22 all A_1 E_2 C B_1 D_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,A_1),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),E_2)),D_1)))<->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_1),A_1)),E_2)),D_1)))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)))<->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_1),A_1)),E_2)),D_1)))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)))<->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_1),B_1)),E_2)),C)),D_1))).
% 214.44/213.22 all A_1 E_2 C B_1 D_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,A_1),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),E_2)),D_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_real_real(hAPP_r1250527377l_real(minus_minus_real,A_1),B_1)),E_2)),C)),D_1))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)))<->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_1),B_1)),E_2)),C)),D_1))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)))<->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_1),A_1)),E_2)),D_1)))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),E_2)),D_1)))<->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_1),A_1)),E_2)),D_1)))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)))<->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_1),A_1)),E_2)),D_1)))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)))<->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_1),B_1)),E_2)),C)),D_1))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),E_2)),C)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B_1),E_2)),D_1)))<->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_1),B_1)),E_2)),C)),D_1))).
% 214.44/213.22 all A_1 E_2 C B_1 D_1 (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_1),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_1),E_2)),D_1)))<->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_1),B_1)),E_2)),C)),D_1))).
% 214.44/213.22 all X_9 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X_9),X_9)),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_9),one_one_rat)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_9),one_one_rat))).
% 214.44/213.22 all X_9 (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X_9),X_9)),one_one_complex)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X_9),one_one_complex)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_9),one_one_complex))).
% 214.44/213.22 all X_9 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X_9),X_9)),one_one_real)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X_9),one_one_real)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_9),one_one_real))).
% 214.44/213.22 all X_9 (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X_9),X_9)),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_9),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_9),one_one_int))).
% 214.44/213.22 all V_4 W_2 C_6 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(number_number_of_rat,V_4)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_int_rat(number_number_of_rat,W_2)),C_6))=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_4),W_2))),C_6)).
% 214.44/213.22 all V_4 W_2 C_6 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_int_complex(number528085621omplex,V_4)),hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,W_2)),C_6))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_int_complex(number528085621omplex,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,V_4),W_2))),C_6)).
% 214.44/213.22 all V_4 W_2 C_6 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(number267125858f_real,V_4)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(number267125858f_real,W_2)),C_6))=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_4),W_2))),C_6)).
% 214.44/213.22 all V_4 W_2 C_6 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(number_number_of_int,V_4)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,W_2)),C_6))=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_4),W_2))),C_6)).
% 214.44/213.22 all Z_1 N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Z_1),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Z_1),N)))).
% 214.44/213.22 all Wa Z_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),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,Wa),Z_2))).
% 214.44/213.22 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))).
% 214.44/213.22 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))).
% 214.44/213.22 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))).
% 214.44/213.22 all N 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)),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)),B_2))))).
% 214.44/213.22 all N 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)),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)),A_3))))).
% 214.44/213.22 all X_8 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_12))|X_8=one_one_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X_8),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_8),N_12)))).
% 214.44/213.22 all X_8 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_12))|X_8=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X_8),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_8),N_12)))).
% 214.44/213.22 all X_8 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_12))|X_8=one_one_rat->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,X_8),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_8),N_12)))).
% 214.44/213.22 all X_8 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_12))|X_8=one_on1684967323de_int->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(dvd_dv1760642554de_int,X_8),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_8),N_12)))).
% 214.44/213.22 all X_8 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_12))|X_8=one_one_complex->hBOOL(hAPP_complex_bool(hAPP_c1403687985x_bool(dvd_dvd_complex,X_8),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_8),N_12)))).
% 214.44/213.22 all X_8 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_12))|X_8=one_on1645066479umeral->hBOOL(hAPP_C24501650l_bool(hAPP_C10902773l_bool(dvd_dv174992974umeral,X_8),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,X_8),N_12)))).
% 214.44/213.22 all X_8 N_12 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_12))|X_8=one_one_real->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,X_8),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_8),N_12)))).
% 214.44/213.22 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)))))).
% 214.44/213.22 all X_7 Y_6 (hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X_7),Y_6)),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_7),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_6),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_7)),Y_6))).
% 214.44/213.22 all X_7 Y_6 (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X_7),Y_6)),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_7),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_6),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_7)),Y_6))).
% 214.44/213.22 all X_7 Y_6 (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X_7),Y_6)),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_7),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_6),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_7)),Y_6))).
% 214.44/213.22 all X_7 Y_6 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_7),Y_6)),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_7),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_6),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_7)),Y_6))).
% 214.44/213.22 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)))))).
% 214.44/213.22 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)))))).
% 214.44/213.22 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))).
% 214.44/213.22 all Y X P_3 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y)))).
% 214.44/213.22 all X 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),hAPP_int_int(number_number_of_int,min)),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),one_one_int),P_3)))).
% 214.44/213.22 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))).
% 214.44/213.22 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)))).
% 214.44/213.22 all Ma Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,Ma),Xa))<-> (exists Y_1 (is_int(Y_1)&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))))),Xa),Ma))))).
% 214.44/213.22 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)))))).
% 214.44/213.22 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))))).
% 214.44/213.22 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))))).
% 214.44/213.22 tn=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,t)),one_one_nat).
% 214.44/213.22 all N 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))->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))))).
% 214.44/213.22 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)).
% 214.44/213.22 all K_2 M N (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)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M))))).
% 214.44/213.22 all K_2 M N (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)))-> (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),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N))))).
% 214.44/213.22 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)=zero_zero_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M)=zero_zero_nat->M=N)).
% 214.44/213.22 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),M)=zero_zero_nat).
% 214.44/213.22 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),zero_zero_nat)=M).
% 214.44/213.22 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,zero_zero_nat),N)=zero_zero_nat).
% 214.44/213.22 all N 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)),K_2))).
% 214.44/213.22 all L_2 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),M))))).
% 214.44/213.22 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)),N)=M).
% 214.44/213.22 all N M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M)),N)=M).
% 214.44/213.22 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))).
% 214.44/213.22 all K_2 M N (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))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)).
% 214.44/213.22 all M K_2 N (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),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)).
% 214.44/213.22 all Na K Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))))).
% 214.44/213.22 all N 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))->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),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N))).
% 214.44/213.22 all Na K Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),K)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)<->Ma=Na))).
% 214.44/213.22 all I N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),I))=I).
% 214.44/213.22 all L_2 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->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),L_2)))).
% 214.44/213.22 all L_2 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,L_2),M)))).
% 214.44/213.22 all M N 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)),M)).
% 214.44/213.22 all M N 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)),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),K_2))).
% 214.44/213.22 all K_2 M N (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))=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))).
% 214.44/213.22 all K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),Na))).
% 214.44/213.22 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)))).
% 214.44/213.22 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)))).
% 214.44/213.22 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)))).
% 214.44/213.22 all Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),one_one_nat))<->Ma=one_one_nat).
% 214.44/213.22 all N X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y),N)))).
% 214.44/213.22 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Xa),Ya)),zero_zero_real))).
% 214.44/213.22 all Na 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,Na),Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.44/213.22 all M 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,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)),M)))).
% 214.44/213.22 all N M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),M))=zero_zero_nat).
% 214.44/213.22 all N 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))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M)))).
% 214.44/213.22 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),Na)=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.44/213.22 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)=zero_zero_nat).
% 214.44/213.22 all I_1 J K (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)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_1),K)),J))).
% 214.44/213.22 all M N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N))=M).
% 214.44/213.22 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))).
% 214.44/213.22 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))))).
% 214.44/213.22 all Na K Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),K)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))))).
% 214.44/213.23 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<->K=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na))).
% 214.44/213.23 all Ma K Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),K)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),K)))<->K=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na))).
% 214.44/213.23 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)).
% 214.44/213.23 all J K 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)),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)))).
% 214.44/213.23 all M K_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),N))->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),M)),K_2)))).
% 214.44/213.23 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N))=M).
% 214.44/213.23 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)).
% 214.44/213.23 all I_1 K J (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),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)))<->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)),J)))).
% 214.44/213.23 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),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)),N)=M).
% 214.44/213.23 all K 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<->J=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),I_1))).
% 214.44/213.23 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))).
% 214.44/213.23 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)).
% 214.44/213.23 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)).
% 214.44/213.23 all A_3 N 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_2),N)))-> (N!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),B_2)))).
% 214.44/213.23 all X Y 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,X),N)),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 214.44/213.23 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))).
% 214.44/213.23 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))).
% 214.44/213.23 all P_1 A_1 B_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_1),B_1)))<-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_1))& -hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))| (exists D_2 (A_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_1),D_2)& -hBOOL(hAPP_nat_bool(P_1,D_2)))))).
% 214.44/213.23 all P_1 A_1 B_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,A_1),B_1)))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_1))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (all D_2 (A_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,B_1),D_2)->hBOOL(hAPP_nat_bool(P_1,D_2))))).
% 214.44/213.23 all K_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),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,K_2),N)))).
% 214.44/213.23 all Ma Na K (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),K))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ma),Na)))).
% 214.44/213.23 all K_2 M N (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)))-> (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)))).
% 214.44/213.23 all U Ma Na 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)),Na)<->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)),Na))).
% 214.44/213.23 all U_1 M N 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))=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))).
% 214.44/213.23 all U Ma Na 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)),Na)))<->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)),Na))))).
% 214.44/213.23 all U Ma Na 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)),Na)<->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)=Na)).
% 214.44/213.23 all U_1 M N 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))=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)).
% 214.44/213.23 all U Ma Na 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)),Na)))<->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)),Na)))).
% 214.44/213.23 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,M)),hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N))).
% 214.44/213.23 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)))).
% 214.44/213.23 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))))).
% 214.44/213.23 all K_2 M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(K_2),K_2),M)).
% 214.44/213.23 all A_1 B_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(B_1),A_1),Ma))).
% 214.44/213.23 all X Q_1 N R_2 (X=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Q_1),N)),R_2)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),R_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,R_2),N))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),X))))).
% 214.44/213.23 all N M ((M=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=zero_zero_nat)& (M!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),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)))).
% 214.44/213.23 all U Ma Na 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)),Na)))<->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)),Na)))).
% 214.44/213.23 all U Ma Na 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)),Na)))<->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)),Na))))).
% 214.44/213.23 all Na 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),Na)),Ma))<->Na=one_one_nat)).
% 214.44/213.23 all Na 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,Na),Ma)),Ma))<->Na=one_one_nat)).
% 214.44/213.23 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))))).
% 214.44/213.23 all I M N (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)))-> (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)))).
% 214.44/213.23 all X_6 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_11))->hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_11),one_one_nat))),X_6)=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X_6),N_11)).
% 214.44/213.23 all X_6 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_11))->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_11),one_one_nat))),X_6)=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_6),N_11)).
% 214.44/213.23 all X_6 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_11))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_11),one_one_nat))),X_6)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X_6),N_11)).
% 214.44/213.23 all X_6 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_11))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_11),one_one_nat))),X_6)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X_6),N_11)).
% 214.44/213.23 all X_6 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_11))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_11),one_one_nat))),X_6)=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,X_6),N_11)).
% 214.44/213.23 all X_6 N_11 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_11))->hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_11),one_one_nat))),X_6)=hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,X_6),N_11)).
% 214.44/213.23 all P_1 Xa Ya (hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Xa),Ya))))<-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ya),Xa))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_nat_int(semiri1621563631at_int,Xa)),hAPP_nat_int(semiri1621563631at_int,Ya)))))& (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))->hBOOL(hAPP_int_bool(P_1,zero_zero_int)))).
% 214.44/213.23 all X_5 Y_5 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,X_5),Y_5))-> (X_5!=Y_5->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,X_5),Y_5)))).
% 214.44/213.23 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,Xa),Ya))-> (Xa!=Ya->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,Xa),Ya)))).
% 214.44/213.23 all Xa Ya (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,Xa),Ya))-> (Xa!=Ya->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,Xa),Ya)))).
% 214.44/213.23 all X_5 Y_5 (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,X_5),Y_5))-> (X_5!=Y_5->hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,X_5),Y_5)))).
% 214.44/213.23 all X_5 Y_5 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_5),Y_5))-> (X_5!=Y_5->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_5),Y_5)))).
% 214.44/213.23 all X_5 Y_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_5),Y_5))-> (X_5!=Y_5->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_5),Y_5)))).
% 214.44/213.23 all X_5 Y_5 (is_int(X_5)&is_int(Y_5)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_5),Y_5))-> (X_5!=Y_5->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_5),Y_5))))).
% 214.44/213.23 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)))).
% 214.44/213.23 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M))->M=zero_zero_nat|M=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_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N)),M))).
% 214.44/213.23 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),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),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),Y)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X),Y))).
% 214.44/213.23 all M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(M),zero_zero_int),M)).
% 214.44/213.23 all A_1 B_1 (is_int(A_1)&is_int(B_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),zero_zero_int))<->A_1=B_1)).
% 214.44/213.23 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))).
% 214.44/213.23 all A_3 B_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),B_2),one_one_int)).
% 214.44/213.23 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)))).
% 214.44/213.23 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))).
% 214.44/213.23 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))).
% 214.44/213.23 all C D_1 A_1 B_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_1),A_1)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_1),B_1)),Ma)))).
% 214.44/213.23 all C D_1 A_1 B_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),D_1)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(C),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_1)),Ma)))).
% 214.44/213.23 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)).
% 214.44/213.23 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)))).
% 214.44/213.23 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))).
% 214.44/213.23 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)))).
% 214.44/213.23 all Z_1 X Y M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),Z_1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),Z_1)),M))).
% 214.44/213.23 all M Y X (is_int(Y)&is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),M))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Y),M))->X=Y))))))).
% 214.44/213.23 all M X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_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(X),zero_zero_int),M)))).
% 214.44/213.23 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)))))).
% 214.44/213.23 all A_3 R_2 B_2 M C_1 D_3 N (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_2),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_2),D_3))),N))=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))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_2),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))))).
% 214.44/213.23 all N M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),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),M))).
% 214.44/213.23 all A_1 B_1 Ma (is_int(B_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))<-> (exists K_1 (is_int(K_1)&B_1=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),K_1)))))).
% 214.44/213.23 all Xa P_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Xa),zero_zero_int),P_5))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_5),Xa))).
% 214.44/213.23 all A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),zero_zero_int),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),A_1))).
% 214.44/213.23 all A_1 B_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),B_1)))).
% 214.44/213.23 all M N 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)))->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)))).
% 214.44/213.23 all A_3 X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),A_3))-> (X!=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),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_3),one_one_int))))))).
% 214.44/213.23 all M 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(X),zero_zero_int),M))->X=zero_zero_int)))).
% 214.44/213.23 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)))).
% 214.44/213.23 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)))))).
% 214.44/213.23 all P_3 Y N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Y),N))))).
% 214.44/213.23 all N (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),N)=one_one_int|hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),N)=hAPP_int_int(number_number_of_int,min)).
% 214.44/213.23 all Y X P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Y),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),Y)),zero_zero_int),P_3))))).
% 214.44/213.23 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))))).
% 214.44/213.23 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))))).
% 214.44/213.23 all N 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)))->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))))).
% 214.44/213.23 all Y N 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),N)))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),Y))))).
% 214.44/213.23 all M_6 N_10 ((N_10=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,M_6),N_10)=one_one_rat)& (N_10!=zero_zero_nat->hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,M_6),N_10)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,M_6),hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,M_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),one_one_nat))))).
% 214.44/213.23 all M_6 N_10 ((N_10=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,M_6),N_10)=one_on1684967323de_int)& (N_10!=zero_zero_nat->hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,M_6),N_10)=hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,M_6),hAPP_n522471361de_int(hAPP_Q125967240de_int(power_881366806de_int,M_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),one_one_nat))))).
% 214.44/213.23 all M_6 N_10 ((N_10=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,M_6),N_10)=one_one_complex)& (N_10!=zero_zero_nat->hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,M_6),N_10)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,M_6),hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,M_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),one_one_nat))))).
% 214.44/213.23 all M_6 N_10 ((N_10=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,M_6),N_10)=one_on1645066479umeral)& (N_10!=zero_zero_nat->hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,M_6),N_10)=hAPP_C498520661umeral(hAPP_C1594335432umeral(times_1655362735umeral,M_6),hAPP_n1108039445umeral(hAPP_C471253896umeral(power_2100829034umeral,M_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),one_one_nat))))).
% 214.44/213.23 all M_6 N_10 ((N_10=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,M_6),N_10)=one_one_real)& (N_10!=zero_zero_nat->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,M_6),N_10)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,M_6),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,M_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),one_one_nat))))).
% 214.44/213.23 all M_6 N_10 ((N_10=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_10)=one_one_nat)& (N_10!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),N_10)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),one_one_nat))))).
% 214.44/213.23 all M_6 N_10 ((N_10=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_6),N_10)=one_one_int)& (N_10!=zero_zero_nat->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_6),N_10)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M_6),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_6),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N_10),one_one_nat))))).
% 214.44/213.23 -(all R_1 V_3 (is_int(R_1)&is_int(V_3)-> -(V_3=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,x),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,R_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))&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,V_3))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))))).
% 214.44/213.23 -(all S_2 W_1 (is_int(S_2)&is_int(W_1)-> -(W_1=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,y),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,S_2),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))&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,W_1))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))))).
% 214.44/213.23 all K P_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),D_1))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),K))-> (all X_1 (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),D_1))))))))).
% 214.44/213.23 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))))).
% 214.44/213.23 all A_3 M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (exists 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(A_3),X_1),M))& (all Y_1 (is_int(Y_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_int,Y_1),M))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_3),Y_1),M))->Y_1=X_1)))))).
% 214.44/213.23 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).
% 214.44/213.23 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))).
% 214.44/213.23 all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)).
% 214.44/213.23 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,t)),one_one_nat))).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 214.44/213.23 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),X)))).
% 214.44/213.23 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)))).
% 214.44/213.23 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),X)))).
% 214.44/213.23 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)))).
% 214.44/213.23 all P_1 Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))->hBOOL(P_1))).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->Y!=X).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->X!=Y).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))-> -(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y)))).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->X!=Y).
% 214.44/213.23 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Z_1),X)))).
% 214.44/213.23 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)))).
% 214.44/213.23 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z_1)))).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->X=Y)).
% 214.44/213.23 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),M))->M=N)).
% 214.44/213.23 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)))).
% 214.44/213.23 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)))).
% 214.44/213.23 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)))).
% 214.44/213.23 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))|X=Y).
% 214.44/213.23 all Ya Xa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))<->Xa=Ya)).
% 214.44/213.23 all X Y (X=Y->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))).
% 214.44/213.23 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)))).
% 214.44/213.23 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))).
% 214.44/213.23 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))&Xa!=Ya).
% 214.44/213.23 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))|Xa=Ya).
% 214.44/213.23 all Xa Ya (Xa=Ya<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))).
% 214.44/213.23 all X (-(hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),X)))).
% 214.44/213.23 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Ya),Xa))<->Xa=Ya).
% 214.44/213.23 all Xa Ya P_1 ((hBOOL(P_1)->hAPP_int_nat(nat,Xa)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,P_1),Xa),Ya)))& (-hBOOL(P_1)->hAPP_int_nat(nat,Ya)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,P_1),Xa),Ya)))).
% 214.44/213.23 all A_27 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(abs_abs_rat,A_27))=hAPP_rat_rat(abs_abs_rat,A_27)).
% 214.44/213.23 all A_27 (hAPP_real_real(abs_abs_real,hAPP_real_real(abs_abs_real,A_27))=hAPP_real_real(abs_abs_real,A_27)).
% 214.44/213.23 all A_27 (hAPP_int_int(abs_abs_int,hAPP_int_int(abs_abs_int,A_27))=hAPP_int_int(abs_abs_int,A_27)).
% 214.44/213.23 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)))).
% 214.44/213.23 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))))).
% 214.44/213.23 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))).
% 214.44/213.23 all A_1 (hAPP_rat_rat(abs_abs_rat,A_1)=zero_zero_rat<->A_1=zero_zero_rat).
% 214.44/213.23 all A_1 (hAPP_real_real(abs_abs_real,A_1)=zero_zero_real<->A_1=zero_zero_real).
% 214.44/213.23 all A_1 (is_int(A_1)-> (hAPP_int_int(abs_abs_int,A_1)=zero_zero_int<->A_1=zero_zero_int)).
% 214.44/213.23 hAPP_rat_rat(abs_abs_rat,zero_zero_rat)=zero_zero_rat.
% 214.44/213.23 hAPP_real_real(abs_abs_real,zero_zero_real)=zero_zero_real.
% 214.44/213.23 hAPP_int_int(abs_abs_int,zero_zero_int)=zero_zero_int.
% 214.44/213.23 all A_26 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_26),hAPP_rat_rat(abs_abs_rat,A_26))).
% 214.44/213.23 all A_26 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_26),hAPP_real_real(abs_abs_real,A_26))).
% 214.44/213.23 all A_26 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_26),hAPP_int_int(abs_abs_int,A_26))).
% 214.44/213.23 all A_25 B_19 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,A_25)),B_19))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_25),B_19))).
% 214.44/213.23 all A_25 B_19 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,A_25)),B_19))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_25),B_19))).
% 214.44/213.23 all A_25 B_19 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,A_25)),B_19))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_25),B_19))).
% 214.44/213.23 all A_24 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_24)),hAPP_rat_rat(abs_abs_rat,A_24))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_24),A_24)).
% 214.44/213.23 all A_24 (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_24)),hAPP_real_real(abs_abs_real,A_24))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_24),A_24)).
% 214.44/213.23 all A_24 (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_24)),hAPP_int_int(abs_abs_int,A_24))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_24),A_24)).
% 214.44/213.23 all A_23 B_18 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_23),B_18))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_23)),hAPP_rat_rat(abs_abs_rat,B_18))).
% 214.44/213.23 all A_23 B_18 (hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_23),B_18))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_23)),hAPP_real_real(abs_abs_real,B_18))).
% 214.44/213.23 all A_23 B_18 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_23),B_18))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_23)),hAPP_int_int(abs_abs_int,B_18))).
% 214.44/213.23 all A_22 B_17 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_22)),hAPP_rat_rat(abs_abs_rat,B_17)))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_22)),hAPP_rat_rat(abs_abs_rat,B_17))).
% 214.44/213.23 all A_22 B_17 (hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_22)),hAPP_real_real(abs_abs_real,B_17)))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_22)),hAPP_real_real(abs_abs_real,B_17))).
% 214.44/213.23 all A_22 B_17 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_22)),hAPP_int_int(abs_abs_int,B_17)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_22)),hAPP_int_int(abs_abs_int,B_17))).
% 214.44/213.23 hAPP_rat_rat(abs_abs_rat,one_one_rat)=one_one_rat.
% 214.44/213.23 hAPP_real_real(abs_abs_real,one_one_real)=one_one_real.
% 214.44/213.23 hAPP_int_int(abs_abs_int,one_one_int)=one_one_int.
% 214.44/213.23 all A_21 B_16 (hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_21),B_16))=hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_16),A_21))).
% 214.44/213.23 all A_21 B_16 (hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_21),B_16))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_16),A_21))).
% 214.44/213.23 all A_21 B_16 (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_21),B_16))=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_16),A_21))).
% 214.44/213.23 all A_20 N_9 (hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,A_20),N_9))=hAPP_nat_rat(hAPP_rat_fun_nat_rat(power_power_rat,hAPP_rat_rat(abs_abs_rat,A_20)),N_9)).
% 214.44/213.23 all A_20 N_9 (hAPP_real_real(abs_abs_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,A_20),N_9))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(abs_abs_real,A_20)),N_9)).
% 214.44/213.23 all A_20 N_9 (hAPP_int_int(abs_abs_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_20),N_9))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(abs_abs_int,A_20)),N_9)).
% 214.44/213.23 all L_3 K_5 (hAPP_int_int(abs_abs_int,L_3)=hAPP_int_int(abs_abs_int,K_5)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,L_3),K_5))).
% 214.44/213.23 all L_3 K_5 (hAPP_rat_rat(abs_abs_rat,L_3)=hAPP_rat_rat(abs_abs_rat,K_5)->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,L_3),K_5))).
% 214.44/213.23 all L_3 K_5 (hAPP_real_real(abs_abs_real,L_3)=hAPP_real_real(abs_abs_real,K_5)->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,L_3),K_5))).
% 214.44/213.23 all Ma K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(abs_abs_int,Ma)),K))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),K))).
% 214.44/213.23 all Ma K (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,hAPP_rat_rat(abs_abs_rat,Ma)),K))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,Ma),K))).
% 214.44/213.23 all Ma K (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,hAPP_real_real(abs_abs_real,Ma)),K))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,Ma),K))).
% 214.44/213.23 all Ma K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),hAPP_int_int(abs_abs_int,K)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Ma),K))).
% 214.44/213.23 all Ma K (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,Ma),hAPP_rat_rat(abs_abs_rat,K)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(dvd_dvd_rat,Ma),K))).
% 214.44/213.23 all Ma K (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,Ma),hAPP_real_real(abs_abs_real,K)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(dvd_dvd_real,Ma),K))).
% 214.44/213.23 all N_8 (hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(semiri151668891at_rat,N_8))=hAPP_nat_rat(semiri151668891at_rat,N_8)).
% 214.44/213.23 all N_8 (hAPP_real_real(abs_abs_real,hAPP_nat_real(semiri132038758t_real,N_8))=hAPP_nat_real(semiri132038758t_real,N_8)).
% 214.44/213.23 all N_8 (hAPP_int_int(abs_abs_int,hAPP_nat_int(semiri1621563631at_int,N_8))=hAPP_nat_int(semiri1621563631at_int,N_8)).
% 214.44/213.23 all M (hAPP_int_int(abs_abs_int,hAPP_nat_int(semiri1621563631at_int,M))=hAPP_nat_int(semiri1621563631at_int,M)).
% 214.44/213.23 all N (hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,N))=N).
% 214.44/213.23 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))).
% 214.44/213.23 all A_19 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),hAPP_rat_rat(abs_abs_rat,A_19))).
% 214.44/213.23 all A_19 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(abs_abs_real,A_19))).
% 214.44/213.23 all A_19 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(abs_abs_int,A_19))).
% 214.44/213.23 all A_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,A_1)),zero_zero_rat))<->A_1=zero_zero_rat).
% 214.44/213.23 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,A_1)),zero_zero_real))<->A_1=zero_zero_real).
% 214.44/213.23 all A_1 (is_int(A_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(abs_abs_int,A_1)),zero_zero_int))<->A_1=zero_zero_int)).
% 214.44/213.23 all A_18 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_18))->hAPP_rat_rat(abs_abs_rat,A_18)=A_18).
% 214.44/213.23 all A_18 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_18))->hAPP_real_real(abs_abs_real,A_18)=A_18).
% 214.44/213.23 all A_18 (is_int(A_18)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_18))->hAPP_int_int(abs_abs_int,A_18)=A_18)).
% 214.44/213.23 all A_17 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_17))->hAPP_rat_rat(abs_abs_rat,A_17)=A_17).
% 214.44/213.23 all A_17 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),A_17))->hAPP_real_real(abs_abs_real,A_17)=A_17).
% 214.44/213.23 all A_17 (is_int(A_17)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_17))->hAPP_int_int(abs_abs_int,A_17)=A_17)).
% 214.44/213.23 all A_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_rat_rat(abs_abs_rat,A_1)))<->A_1!=zero_zero_rat).
% 214.44/213.23 all A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(abs_abs_real,A_1)))<->A_1!=zero_zero_real).
% 214.44/213.23 all A_1 (is_int(A_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(abs_abs_int,A_1)))<->A_1!=zero_zero_int)).
% 214.44/213.23 all A_16 (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,A_16)),zero_zero_rat))).
% 214.44/213.23 all A_16 (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,A_16)),zero_zero_real))).
% 214.44/213.23 all A_16 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,A_16)),zero_zero_int))).
% 214.44/213.23 all B_15 D_6 A_15 C_5 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,A_15)),C_5))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,B_15)),D_6))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_15)),hAPP_rat_rat(abs_abs_rat,B_15))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,C_5),D_6))))).
% 214.44/213.23 all B_15 D_6 A_15 C_5 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,A_15)),C_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,B_15)),D_6))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_15)),hAPP_real_real(abs_abs_real,B_15))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_5),D_6))))).
% 214.44/213.23 all B_15 D_6 A_15 C_5 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,A_15)),C_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(abs_abs_int,B_15)),D_6))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_15)),hAPP_int_int(abs_abs_int,B_15))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C_5),D_6))))).
% 214.44/213.23 all A_14 B_14 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_14),B_14))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_14)),hAPP_rat_rat(abs_abs_rat,B_14)))).
% 214.44/213.23 all A_14 B_14 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,A_14),B_14))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_14)),hAPP_real_real(abs_abs_real,B_14)))).
% 214.44/213.23 all A_14 B_14 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(plus_plus_int,A_14),B_14))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_14)),hAPP_int_int(abs_abs_int,B_14)))).
% 214.44/213.23 all A_13 B_13 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(abs_abs_rat,A_13)),hAPP_rat_rat(abs_abs_rat,B_13))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_13),A_13)))).
% 214.44/213.23 all A_13 B_13 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(abs_abs_real,A_13)),hAPP_real_real(abs_abs_real,B_13))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_13),A_13)))).
% 214.44/213.23 all A_13 B_13 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(abs_abs_int,A_13)),hAPP_int_int(abs_abs_int,B_13))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_13),A_13)))).
% 214.44/213.23 all A_12 B_12 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(abs_abs_rat,A_12)),hAPP_rat_rat(abs_abs_rat,B_12))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_12),B_12)))).
% 214.44/213.23 all A_12 B_12 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(abs_abs_real,A_12)),hAPP_real_real(abs_abs_real,B_12))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_12),B_12)))).
% 214.44/213.23 all A_12 B_12 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(abs_abs_int,A_12)),hAPP_int_int(abs_abs_int,B_12))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_12),B_12)))).
% 214.44/213.23 all A_11 B_11 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(abs_abs_rat,A_11)),hAPP_rat_rat(abs_abs_rat,B_11)))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_11),B_11)))).
% 214.44/213.23 all A_11 B_11 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(abs_abs_real,A_11)),hAPP_real_real(abs_abs_real,B_11)))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_11),B_11)))).
% 214.44/213.23 all A_11 B_11 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_int_int(abs_abs_int,A_11)),hAPP_int_int(abs_abs_int,B_11)))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_11),B_11)))).
% 214.44/213.23 hAPP_int_nat(nat,zero_zero_int)=zero_zero_nat.
% 214.44/213.23 zero_zero_nat=hAPP_int_nat(nat,zero_zero_int).
% 214.44/213.23 all M N (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,M),N))=one_one_int->hAPP_int_int(abs_abs_int,M)=one_one_int).
% 214.44/213.24 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)))).
% 214.44/213.24 all Ya Xa (is_int(Ya)&is_int(Xa)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hAPP_int_nat(nat,Xa)=hAPP_int_nat(nat,Ya)<->Xa=Ya)))).
% 214.44/213.24 all P_1 ((all X1 hBOOL(hAPP_nat_bool(P_1,X1)))<-> (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_nat_bool(P_1,hAPP_int_nat(nat,X_1))))))).
% 214.44/213.24 all P_1 ((exists X1 hBOOL(hAPP_nat_bool(P_1,X1)))<-> (exists 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_nat_bool(P_1,hAPP_int_nat(nat,X_1)))))).
% 214.44/213.24 all V_1 (hAPP_int_nat(number_number_of_nat,V_1)=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,V_1))).
% 214.44/213.24 all W (hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,W))=hAPP_int_nat(number_number_of_nat,W)).
% 214.44/213.24 one_one_nat=hAPP_int_nat(nat,one_one_int).
% 214.44/213.24 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))).
% 214.44/213.24 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),one_one_int))<->hAPP_int_int(abs_abs_int,Xa)=one_one_int).
% 214.44/213.24 all A_3 B_2 P_3 Q_1 (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_1)))=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_1))),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_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),P_3))))).
% 214.44/213.24 all Y_4 X_4 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),X_4))->hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,Y_4)),X_4)=hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Y_4),X_4))).
% 214.44/213.24 all Y_4 X_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X_4))->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,Y_4)),X_4)=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y_4),X_4))).
% 214.44/213.24 all Y_4 X_4 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_4))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,Y_4)),X_4)=hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y_4),X_4))).
% 214.44/213.24 all B_10 A_10 ((hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),A_10))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,A_10),zero_zero_rat)))& (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,zero_zero_rat),B_10))|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,B_10),zero_zero_rat)))->hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,A_10),B_10))=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,hAPP_rat_rat(abs_abs_rat,A_10)),hAPP_rat_rat(abs_abs_rat,B_10))).
% 214.44/213.24 all B_10 A_10 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),A_10))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_10),zero_zero_real)))& (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),B_10))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,B_10),zero_zero_real)))->hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_10),B_10))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(abs_abs_real,A_10)),hAPP_real_real(abs_abs_real,B_10))).
% 214.44/213.24 all B_10 A_10 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_10))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_10),zero_zero_int)))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),B_10))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_10),zero_zero_int)))->hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_10),B_10))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_10)),hAPP_int_int(abs_abs_int,B_10))).
% 214.44/213.24 all A_9 N_7 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,hAPP_rat_rat(abs_abs_rat,A_9)),N_7))).
% 214.44/213.24 all A_9 N_7 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(abs_abs_real,A_9)),N_7))).
% 214.44/213.24 all A_9 N_7 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,A_9)),N_7))).
% 214.44/213.24 all A_8 B_9 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_8),B_9))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,A_8)),hAPP_rat_rat(abs_abs_rat,B_9)))).
% 214.44/213.24 all A_8 B_9 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,A_8),B_9))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,A_8)),hAPP_real_real(abs_abs_real,B_9)))).
% 214.44/213.24 all A_8 B_9 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,A_8),B_9))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(abs_abs_int,A_8)),hAPP_int_int(abs_abs_int,B_9)))).
% 214.44/213.24 all A_7 B_8 C_4 D_5 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,A_7),B_8)),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,C_4),D_5)))),hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,A_7),C_4))),hAPP_rat_rat(abs_abs_rat,hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,B_8),D_5))))).
% 214.44/213.24 all A_7 B_8 C_4 D_5 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,A_7),B_8)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,C_4),D_5)))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_7),C_4))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_8),D_5))))).
% 214.44/213.24 all A_7 B_8 C_4 D_5 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_int_int(hAPP_int_fun_int_int(plus_plus_int,A_7),B_8)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,C_4),D_5)))),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,A_7),C_4))),hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_8),D_5))))).
% 214.44/213.24 hAPP_rat_rat(abs_abs_rat,hAPP_int_rat(number_number_of_rat,min))=one_one_rat.
% 214.44/213.24 hAPP_real_real(abs_abs_real,hAPP_int_real(number267125858f_real,min))=one_one_real.
% 214.44/213.24 hAPP_int_int(abs_abs_int,hAPP_int_int(number_number_of_int,min))=one_one_int.
% 214.44/213.24 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))).
% 214.44/213.24 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).
% 214.44/213.24 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)).
% 214.44/213.24 all Wa Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,Wa)),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,Wa),Z_2))).
% 214.44/213.24 all Wa 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,Wa)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_2)))).
% 214.44/213.24 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(nat,Xa)),hAPP_int_nat(nat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))))).
% 214.44/213.24 all Z_1 (is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,Z_1))=Z_1)).
% 214.44/213.24 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)))).
% 214.44/213.24 all Z_1 (is_int(Z_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Z_1))->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)).
% 214.44/213.24 all X N 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)),N))).
% 214.44/213.24 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))).
% 214.44/213.24 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)))))).
% 214.44/213.24 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_int_nat(nat,Xa)),hAPP_int_nat(nat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Xa),Ya))))).
% 214.44/213.24 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))).
% 214.44/213.24 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)))).
% 214.44/213.24 all Z_2 Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,Wa)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_2)))).
% 214.44/213.24 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,Xa)),hAPP_int_nat(nat,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))))).
% 214.44/213.24 all X (hAPP_int_int(abs_abs_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 214.44/213.24 all Xa Na (is_int(Xa)-> (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,Xa)),Na)))<->Xa!=zero_zero_int|Na=zero_zero_nat)).
% 214.44/213.24 all P_1 I_1 (is_int(I_1)-> (hBOOL(hAPP_nat_bool(P_1,hAPP_int_nat(nat,I_1)))<-> (all N_1 (I_1=hAPP_nat_int(semiri1621563631at_int,N_1)->hBOOL(hAPP_nat_bool(P_1,N_1))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),zero_zero_int))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))))).
% 214.44/213.24 all Wa Ma (is_int(Wa)-> (hAPP_int_nat(nat,Wa)=Ma<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))->Wa=hAPP_nat_int(semiri1621563631at_int,Ma))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))->Ma=zero_zero_nat))).
% 214.44/213.24 all Ma Wa (is_int(Wa)-> (Ma=hAPP_int_nat(nat,Wa)<-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))->Wa=hAPP_nat_int(semiri1621563631at_int,Ma))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))->Ma=zero_zero_nat))).
% 214.44/213.24 all Z_2 Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Wa))|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,Wa)),hAPP_int_nat(nat,Z_2)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Wa),Z_2)))).
% 214.44/213.24 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_int_nat(nat,X)),hAPP_int_nat(nat,Y))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)))).
% 214.44/213.24 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))).
% 214.44/213.24 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)))).
% 214.44/213.24 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,X)),hAPP_int_nat(nat,Y))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y)))).
% 214.44/213.24 all Na 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),Na)),Ma))<->hAPP_int_int(abs_abs_int,Na)=one_one_int))).
% 214.44/213.24 all Ma Va (hAPP_nat_int(semiri1621563631at_int,Ma)=hAPP_int_int(number_number_of_int,Va)<->Ma=hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,Va))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(number_number_of_int,Va)))).
% 214.44/213.24 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)))).
% 214.44/213.24 all N 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))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,Z_1)),N)).
% 214.44/213.24 all N X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(nat,X)),N)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N))).
% 214.44/213.24 all X P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),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)))).
% 214.44/213.24 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)))).
% 214.44/213.24 all A_1 B_1 (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))<->hAPP_int_int(abs_abs_int,A_1)=hAPP_int_int(abs_abs_int,B_1)).
% 214.44/213.24 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))))).
% 214.44/213.24 all Ma Wa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Wa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(nat,Wa)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),hAPP_nat_int(semiri1621563631at_int,Ma))))).
% 214.44/213.24 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)).
% 214.44/213.24 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).
% 214.44/213.24 all X 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),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),Z_1))),one_one_int)),D_3))),Z_1))).
% 214.44/213.24 all Z_1 X 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),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),Z_1))),one_one_int)),D_3))))).
% 214.44/213.24 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)))).
% 214.44/213.24 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)))))))).
% 214.44/213.24 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)))))).
% 214.44/213.24 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (exists N_1 (is_int(N_1)&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),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),X))))),X))))).
% 214.44/213.24 all K F Na (is_int(K)-> ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),Na))->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))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),Na))&hAPP_nat_int(F,I_2)=K)))))).
% 214.44/213.24 all K F Na (is_int(K)-> ((all I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,I_2),Na))->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))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),Na))&hAPP_nat_int(F,I_2)=K)))))).
% 214.44/213.24 all Xa (is_int(Xa)-> (hBOOL(hAPP_int_bool(twoSqu1770640450sum2sq,Xa))<-> (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))=Xa)))).
% 214.44/213.24 all K F Na Ma (is_int(K)-> ((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),Na))->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),Na))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(F,Ma)),K))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),hAPP_nat_int(F,Na)))-> (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),Na))&hAPP_nat_int(F,I_2)=K))))))).
% 214.44/213.24 all I N (hAPP_nat_nat(nat_aux(I),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,I)),N)).
% 214.44/213.24 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))).
% 214.44/213.24 all X 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),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),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)))))).
% 214.44/213.24 all B_2 (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,zero_zero_int),B_2)=zero_zero_int).
% 214.44/213.24 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)).
% 214.44/213.24 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_1),B_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int)))).
% 214.44/213.24 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),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_1),B_1)),zero_zero_int))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1)))).
% 214.44/213.24 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)))).
% 214.44/213.24 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),Y))))).
% 214.44/213.24 all V_1 W (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,V_1))),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_1)),hAPP_int_int(number_number_of_int,W))).
% 214.44/213.24 all N M (is_int(M)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),M))->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M),N))=M)).
% 214.44/213.24 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Y),X))->hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),Y))=hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(abs_abs_int,X)),hAPP_int_int(abs_abs_int,Y))).
% 214.44/213.24 all K_2 X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),X))-> (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),K_2)),X)))).
% 214.44/213.24 all X Y 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),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y),Z_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),Z_1)),Y)))).
% 214.44/213.24 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)).
% 214.44/213.24 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))))).
% 214.44/213.24 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))))).
% 214.44/213.24 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)).
% 214.44/213.24 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)))))).
% 214.44/213.24 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)))).
% 214.44/213.24 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),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_1),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int)))).
% 214.44/213.24 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)).
% 214.44/213.24 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)))).
% 214.44/213.24 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)))))).
% 214.44/213.24 all B_1 A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_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,A_1),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1)))).
% 214.44/213.24 all I_1 K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))-> (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)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),I_1)))).
% 214.44/213.24 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_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,A_1),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1)))).
% 214.44/213.24 all I_1 K (is_int(K)-> (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,I_1),K)=zero_zero_int<->K=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))|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),I_1)))).
% 214.44/213.24 all X (-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)),one_one_real)),X))).
% 214.44/213.24 all X Y (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),Y))),X))).
% 214.44/213.24 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)).
% 214.44/213.24 all X 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)))).
% 214.44/213.24 all X Y 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),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Y),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),Z_1)),Y)))).
% 214.44/213.24 all A_6 B_7 Y R_5 (is_int(B_7)&is_int(Y)-> (A_6=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_7),Y)),R_5)-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_7))->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_7)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_7),R_5))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_5),zero_zero_int)))-> (B_7!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_6),B_7)=Y)))).
% 214.44/213.24 all P_1 Na K (is_int(Na)&is_int(K)-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Na),K)))<-> (K=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))-> (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))&Na=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,I_2))))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),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),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&Na=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,I_2)))))))).
% 214.44/213.24 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))).
% 214.44/213.24 all V_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_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_1))),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_1)),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_1))),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_1)),one_one_int)),hAPP_int_int(number_number_of_int,W)))).
% 214.44/213.24 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X)),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_real))).
% 214.44/213.24 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)).
% 214.44/213.24 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)).
% 214.44/213.24 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)))))).
% 214.44/213.24 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))))))).
% 214.44/213.24 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))))).
% 214.44/213.24 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)))).
% 214.44/213.24 all X 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),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_3),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),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)))))).
% 214.44/213.24 all N ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int))->hAPP_int_int(zfact,N)=one_one_int)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),zero_zero_int))->hAPP_int_int(zfact,N)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N),hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N),one_one_int))))).
% 214.44/213.24 v=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,x),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 214.44/213.24 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,v))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 214.44/213.24 w=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,y),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 214.44/213.24 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,w))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))).
% 214.44/213.24 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))))).
% 214.44/213.24 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))))))).
% 214.44/213.24 all P_1 I_1 K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_1),K))-> (hBOOL(hAPP_int_bool(P_1,K))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,I_2),K))-> (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))))).
% 214.44/213.24 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),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(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),m1).
% 214.44/213.24 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.44/213.24 hAPP_int_int(hAPP_int_fun_int_int(times_times_int,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_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),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_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,x),v)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,y),w))),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(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,x),w)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,y),v))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.24 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_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(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),v)),v)),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,sa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),w)),w))),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(hAPP_int_fun_int_int(minus_minus_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,r),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),v)),w)),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,sa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),w)),v))),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_nat_int(hAPP_int_fun_nat_int(power_power_int,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(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),v))),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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),w)))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),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,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(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),w))),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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),v)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.24 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,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(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),v))),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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),w)))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),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,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(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),w))),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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),v)))),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_nat_int(hAPP_int_fun_nat_int(power_power_int,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(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),v))),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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),w)))),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),hAPP_nat_int(semiri1621563631at_int,n))),m1))),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(hAPP_int_fun_int_int(minus_minus_int,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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),w))),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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),v)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.24 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(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,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),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(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_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.44/213.24 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,x),v)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,y),w))),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(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,x),w)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,y),v))),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_nat_int(hAPP_int_fun_nat_int(power_power_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(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),v)),v)),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,sa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),w)),w))),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(hAPP_int_fun_int_int(minus_minus_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,r),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),v)),w)),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,sa),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),w)),v))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.24 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(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,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),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_nat_int(hAPP_int_fun_nat_int(power_power_int,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(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),v))),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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),w)))),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),hAPP_nat_int(semiri1621563631at_int,n))),m1))),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(hAPP_int_fun_int_int(minus_minus_int,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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),w))),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),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),v)))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.24 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(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,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),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_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),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(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,r),v)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),w))),m1)),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_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),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(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),w)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),v))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.44/213.24 hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),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(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)),m1))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),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_nat_int(hAPP_int_fun_nat_int(power_power_int,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,r),v)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),w))),m1)),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(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),w)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),v))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.44/213.24 hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),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(minus_minus_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)),m1)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,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,r),v)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),w))),m1)),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(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,r),w)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,sa),v))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=zero_zero_int.
% 214.44/213.24 -(all M1 (is_int(M1)->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,v),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,w),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(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),M1))).
% 214.44/213.24 all K_2 M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->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),K_2)))).
% 214.44/213.24 all M N 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)),M)).
% 214.44/213.24 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)).
% 214.44/213.24 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)=zero_zero_nat).
% 214.44/213.24 all M N 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))=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))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N))).
% 214.44/213.24 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))).
% 214.44/213.24 all X Y (hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X),Y))).
% 214.44/213.24 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))).
% 214.44/213.24 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))).
% 214.44/213.24 all K_2 N 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))->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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,K_2),M))))).
% 214.44/213.24 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M)),N)=M).
% 214.44/213.24 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)),N)=M).
% 214.44/213.24 all M N 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))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)).
% 214.44/213.24 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N))-> (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)),M)))).
% 214.44/213.24 all P_1 Na K (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,Na),K)))<-> (K=zero_zero_nat->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))& (K!=zero_zero_nat-> (all I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K))-> (Na=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),I_2)),J_1)->hBOOL(hAPP_nat_bool(P_1,I_2))))))).
% 214.44/213.24 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(nat,X)),hAPP_int_nat(nat,Y))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),Y)))).
% 214.44/213.24 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),Y))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(nat,X)),hAPP_int_nat(nat,Y))).
% 214.44/213.24 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).
% 214.44/213.24 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N))->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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.44/213.24 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)))))).
% 214.44/213.24 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)))))).
% 214.44/213.24 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)))).
% 214.44/213.24 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))).
% 214.44/213.24 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)))).
% 214.44/213.24 all X Y 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),Y),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(multInv(P_3),X)),hAPP_int_int(multInv(P_3),Y)),P_3)))).
% 214.44/213.24 all 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,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),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.44/213.24 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))).
% 214.44/213.24 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)))).
% 214.44/213.24 all P_3 X (hAPP_int_int(multInv(P_3),X)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),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))))))).
% 214.44/213.24 all Y X 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),zero_zero_int),P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Y),zero_zero_int),P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(multInv(P_3),X)),hAPP_int_int(multInv(P_3),Y)),P_3))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),P_3))))))).
% 214.44/213.24 all X 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),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))),X),P_3))))).
% 214.44/213.24 all X 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),zero_zero_int),P_3))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(multInv(P_3),X)),zero_zero_int),P_3))))).
% 214.44/213.24 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))))).
% 214.44/213.24 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)))))).
% 214.44/213.24 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)))))).
% 214.44/213.24 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))))))).
% 214.44/213.24 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)))))))).
% 214.44/213.24 all X 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),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),hAPP_int_int(multInv(P_3),X))),hAPP_int_int(multInv(P_3),hAPP_int_int(multInv(P_3),X)))),X),P_3))))).
% 214.44/213.24 all X 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),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))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),hAPP_int_int(multInv(P_3),X))),hAPP_int_int(multInv(P_3),hAPP_int_int(multInv(P_3),X)))),P_3))))).
% 214.44/213.24 all X 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),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)),X)),one_one_int),P_3))))).
% 214.44/213.24 all X 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),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),hAPP_int_int(multInv(P_3),X))),one_one_int),P_3))))).
% 214.44/213.24 all U_1 V_1 X Y (X=Y-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,U_1)),V_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(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),U_1)),Y))),V_1)))).
% 214.44/213.25 all B_1 A_1 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_1),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_1),hAPP_i1948725293t_bool(wset(A_1),P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(inv(P_5),B_1)),hAPP_i1948725293t_bool(wset(A_1),P_5))))))).
% 214.44/213.25 all B_1 A_1 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_1),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_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),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_1)),hAPP_i1948725293t_bool(wset(A_1),P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(wset(A_1),P_5))))))))).
% 214.44/213.25 all X Y 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)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,C_1),hAPP_real_real(abs_abs_real,Y))))->X=zero_zero_real)).
% 214.44/213.25 all P_1 I_1 K (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_1),K))-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,K),one_one_int)))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,I_2),K))-> (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))))).
% 214.44/213.25 all Xa 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,Xa))).
% 214.44/213.25 all P_5 A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),hAPP_i1948725293t_bool(wset(A_1),P_5)))).
% 214.44/213.25 all B_1 P_5 A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),one_one_int)),P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(wset(A_1),P_5))))).
% 214.44/213.25 all B_1 A_1 P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),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_1),hAPP_i1948725293t_bool(wset(A_1),P_5)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_1))))).
% 214.44/213.25 all B_1 A_1 P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),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_1),hAPP_i1948725293t_bool(wset(A_1),P_5)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int)))))).
% 214.44/213.25 all B_1 P_5 A_1 (is_int(B_1)&is_int(A_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),A_1))-> (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(wset(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,A_1),one_one_int)),P_5)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(wset(A_1),P_5)))->B_1=A_1|B_1=hAPP_int_int(inv(P_5),A_1))))).
% 214.44/213.25 all K L (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K),L))<-> (exists N_1 (L=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),N_1)))).
% 214.44/213.25 all B_1 A_1 P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),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_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_1))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(wset(A_1),P_5))))))).
% 214.44/213.25 all Xa Ya Z_2 (Xa=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Ya),Z_2)<->Ya=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),Z_2)).
% 214.44/213.25 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)).
% 214.44/213.25 all P_3 (hBOOL(hAPP_int_bool(zprime,P_3))->phi(P_3)=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_3),one_one_int))).
% 214.44/213.25 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(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)))))))).
% 214.44/213.25 all X (hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,X)))=hAPP_int_int(abs_abs_int,X)).
% 214.44/213.25 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Ya)),zOdd)))).
% 214.44/213.25 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Ya)),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))).
% 214.44/213.25 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1))-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(d22set,A_1)))).
% 214.44/213.25 all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(d22set,A_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_1))).
% 214.44/213.25 all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(d22set,A_1)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_1))).
% 214.44/213.25 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),Na)),zOdd))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd)))).
% 214.44/213.25 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_1))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(d22set,A_1))))).
% 214.44/213.25 all D_3 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),hAPP_int_int(abs_abs_int,D_3))).
% 214.44/213.25 all D_3 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(abs_abs_int,D_3)),D_3)).
% 214.44/213.25 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)))).
% 214.44/213.25 all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,Xa))=hAPP_int_int(number_number_of_int,min))).
% 214.44/213.25 all Xa K (Xa=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)->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))|N=zero_zero_nat).
% 214.44/213.25 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Xa))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> (exists N_1 (is_int(N_1)&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,Ya),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N_1),Xa))))),Xa)))))).
% 214.44/213.25 all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> -(all K_1 (is_int(K_1)->Xa!=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))))).
% 214.44/213.25 all A_1 B_1 Na (Na!=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_1),Na)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_1),Na)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_1),B_1)))).
% 214.44/213.25 all A_3 N 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)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),N)))-> (N!=zero_zero_nat->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,A_3),B_2)))).
% 214.44/213.25 all A_1 B_1 Na (Na!=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_1),Na)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_1),B_1)))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),M)))).
% 214.44/213.25 all A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_3))->A_3=zero_zero_nat).
% 214.44/213.25 all A_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_1))<->A_1=zero_zero_nat).
% 214.44/213.25 all A_1 (A_1!=zero_zero_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_1),zero_zero_nat))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,zero_zero_nat),A_1))).
% 214.44/213.25 all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),zero_zero_nat)).
% 214.44/213.25 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)))).
% 214.44/213.25 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)))).
% 214.44/213.25 all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_3)).
% 214.44/213.25 all A_1 (A_1!=one_one_nat<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,one_one_nat),A_1))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_1),one_one_nat))).
% 214.44/213.25 all A_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_1),one_one_nat))<->A_1=one_one_nat).
% 214.44/213.25 all A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),one_one_nat))->A_3=one_one_nat).
% 214.44/213.25 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)))).
% 214.44/213.25 all V_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_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,V_1))),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_1)),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_1))),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_1)),one_one_int)),hAPP_int_int(number_number_of_int,W)))),one_one_int))).
% 214.44/213.25 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)).
% 214.44/213.25 hBOOL(hAPP_f448129468l_bool(nat_tr876908586nt_nat(nat),hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int))).
% 214.44/213.25 all X Y 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)),hAPP_int_int(standardRes(M),Y))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)),M))).
% 214.44/213.25 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,X)),hAPP_int_nat(nat,Y))=hAPP_int_nat(nat,hAPP_int_int(nat_tsub(X),Y)))).
% 214.44/213.25 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)))))))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))).
% 214.44/213.25 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,N))).
% 214.44/213.25 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(suc,N))).
% 214.44/213.25 all K_2 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(suc,zero_zero_nat)),K_2)).
% 214.44/213.25 all Xa P_5 (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(sr,P_5)))->hAPP_int_int(standardRes(P_5),Xa)=Xa)).
% 214.44/213.25 all M X (hAPP_int_int(standardRes(M),X)=hAPP_int_int(div_mod_int(X),M)).
% 214.44/213.25 all X Y (hAPP_nat_nat(suc,X)=hAPP_nat_nat(suc,Y)->X=Y).
% 214.44/213.25 all Nat_5 Nat_4 (hAPP_nat_nat(suc,Nat_5)=hAPP_nat_nat(suc,Nat_4)<->Nat_5=Nat_4).
% 214.44/213.25 all N (hAPP_nat_nat(suc,N)!=N).
% 214.44/213.25 all N (N!=hAPP_nat_nat(suc,N)).
% 214.44/213.25 all A_3 (hAPP_int_int(div_mod_int(A_3),A_3)=zero_zero_int).
% 214.44/213.25 all B_2 (hAPP_int_int(div_mod_int(zero_zero_int),B_2)=zero_zero_int).
% 214.44/213.25 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)).
% 214.44/213.25 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)).
% 214.44/213.25 all X M Y (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(div_mod_int(X),M)),Y)),M)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y)),M)).
% 214.44/213.25 all X Y M (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),hAPP_int_int(div_mod_int(Y),M))),M)=hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y)),M)).
% 214.44/213.25 all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 214.44/213.25 all Nat_3 (zero_zero_nat!=hAPP_nat_nat(suc,Nat_3)).
% 214.44/213.25 all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 214.44/213.25 all Nat_2 (hAPP_nat_nat(suc,Nat_2)!=zero_zero_nat).
% 214.44/213.25 all M (zero_zero_nat!=hAPP_nat_nat(suc,M)).
% 214.44/213.25 all M (hAPP_nat_nat(suc,M)!=zero_zero_nat).
% 214.44/213.25 all X M Y (hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(div_mod_int(X),M)),Y)),M)=hAPP_int_int(div_mod_int(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),Y)),M)).
% 214.44/213.25 all X M Y (hAPP_int_int(div_mod_int(X),M)=hAPP_int_int(div_mod_int(Y),M)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),Y),M))).
% 214.44/213.25 all X M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),hAPP_int_int(div_mod_int(X),M)),M)).
% 214.44/213.25 all A_1 B_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(div_mod_int(A_1),Ma)),hAPP_int_int(div_mod_int(B_1),Ma)),Ma))).
% 214.44/213.25 all K_2 M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(div_mod_int(M),N)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M)))).
% 214.44/213.25 all N 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))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,F_3),hAPP_int_int(div_mod_int(M),N))))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->M=N)).
% 214.44/213.25 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)))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (hAPP_nat_nat(suc,M)!=N->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,M)),N)))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))).
% 214.44/213.25 all N M (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),M))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_nat_nat(suc,M)))->M=N)).
% 214.44/213.25 all Na Ma (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,Ma)))<->Na=Ma)).
% 214.44/213.25 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,Ma)),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.44/213.25 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))|Ma=Na).
% 214.44/213.25 all Ma Na (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,Ma)))).
% 214.44/213.25 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),hAPP_nat_nat(suc,N))).
% 214.44/213.25 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))).
% 214.44/213.25 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))).
% 214.44/213.25 all N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),N))).
% 214.44/213.25 all Ma Na (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),Ma))).
% 214.44/213.25 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))|Ma=hAPP_nat_nat(suc,Na)).
% 214.44/213.25 all Na Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),Ma))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),hAPP_nat_nat(suc,N)))-> (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->M=hAPP_nat_nat(suc,N))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))).
% 214.44/213.25 all K Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Ma)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)<->Ma=Na).
% 214.44/213.25 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)).
% 214.44/213.25 all M N 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)),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)),K_2)).
% 214.44/213.25 all Xa Na Ya (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),hAPP_nat_nat(suc,Na))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ya),hAPP_nat_nat(suc,Na))<->Xa=Ya).
% 214.44/213.25 all X M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X),hAPP_int_int(standardRes(M),X)),M)).
% 214.44/213.25 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)))).
% 214.44/213.25 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))).
% 214.44/213.25 all Ma D_1 (is_int(Ma)-> (hAPP_int_int(div_mod_int(Ma),D_1)=zero_zero_int<-> (exists Q_4 (is_int(Q_4)&Ma=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_1),Q_4))))).
% 214.44/213.25 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))).
% 214.44/213.25 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(div_mod_int(X),Y))))).
% 214.44/213.25 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).
% 214.44/213.25 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).
% 214.44/213.25 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))).
% 214.44/213.25 all X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))->X=zero_zero_nat|X=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.44/213.25 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(suc,Na)))<->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),Na))))).
% 214.44/213.25 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))<->Na=zero_zero_nat).
% 214.44/213.25 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))<-> (exists M_1 (Na=hAPP_nat_nat(suc,M_1)))).
% 214.44/213.25 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)).
% 214.44/213.25 all Xa Na Ya (hAPP_int_int(div_mod_int(Xa),Na)=hAPP_int_int(div_mod_int(Ya),Na)<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Na),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),Ya)))).
% 214.44/213.25 all Ma Na (hAPP_nat_nat(suc,zero_zero_nat)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),Na)<->Ma=hAPP_nat_nat(suc,zero_zero_nat)&Na=zero_zero_nat|Ma=zero_zero_nat&Na=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.44/213.25 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),Na)=hAPP_nat_nat(suc,zero_zero_nat)<->Ma=hAPP_nat_nat(suc,zero_zero_nat)&Na=zero_zero_nat|Ma=zero_zero_nat&Na=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.44/213.25 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),Na)=hAPP_nat_nat(suc,zero_zero_nat)<->Ma=hAPP_nat_nat(suc,zero_zero_nat)&Na=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.44/213.25 one_one_nat=hAPP_nat_nat(suc,zero_zero_nat).
% 214.44/213.25 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))<-> (exists K_1 (Na=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),K_1))))).
% 214.44/213.25 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)))).
% 214.44/213.25 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)))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))).
% 214.44/213.25 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_nat_nat(suc,Ma)))<->Na=Ma)).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,M)),N))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),hAPP_nat_nat(suc,N)))).
% 214.44/213.25 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Ma)),Na))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.44/213.25 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(suc,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.44/213.25 all Na Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),Ma))).
% 214.44/213.25 all K Ma Na (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)),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))).
% 214.44/213.25 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),hAPP_nat_nat(suc,M))).
% 214.44/213.25 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N))).
% 214.44/213.25 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),hAPP_nat_nat(suc,N))=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))).
% 214.44/213.25 all K Ma Na (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)),Ma)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,K)),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma),Na))).
% 214.44/213.25 all N (hAPP_nat_nat(suc,N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)).
% 214.44/213.25 all N (hAPP_nat_nat(suc,N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N)).
% 214.44/213.25 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N))).
% 214.44/213.25 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,N)),one_one_nat)=N).
% 214.44/213.25 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(suc,N))=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)).
% 214.44/213.25 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),hAPP_nat_nat(suc,zero_zero_nat))=M).
% 214.44/213.25 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_nat_nat(suc,zero_zero_nat)),N)=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.44/213.25 all Xa Ma (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),Ma)=hAPP_nat_nat(suc,zero_zero_nat)<->Ma=zero_zero_nat|Xa=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.44/213.25 all Xa Na Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),hAPP_nat_nat(suc,Na))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ya),hAPP_nat_nat(suc,Na))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))).
% 214.44/213.25 all N X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Y),hAPP_nat_nat(suc,N))))).
% 214.44/213.25 all Xa Na Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),hAPP_nat_nat(suc,Na))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Ya),hAPP_nat_nat(suc,Na))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Xa),Ya))).
% 214.44/213.25 all X 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)),P_3))).
% 214.44/213.25 all Xa P_5 (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Xa),zero_zero_int),P_5))<->hAPP_int_int(standardRes(P_5),Xa)!=zero_zero_int).
% 214.44/213.25 all Ma Xa (hAPP_int_int(standardRes(Ma),Xa)=zero_zero_int<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Xa),zero_zero_int),Ma))).
% 214.44/213.25 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)))).
% 214.44/213.25 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))).
% 214.44/213.25 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))).
% 214.44/213.25 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))).
% 214.44/213.25 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)))).
% 214.44/213.25 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))).
% 214.44/213.25 all A_1 B_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))<->hAPP_int_int(div_mod_int(A_1),Ma)=hAPP_int_int(div_mod_int(B_1),Ma))).
% 214.44/213.25 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))).
% 214.44/213.25 all A_3 (hAPP_int_int(div_mod_int(A_3),hAPP_int_int(number_number_of_int,min))=zero_zero_int).
% 214.44/213.25 all Xa Ya (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(number_number_of_int,Xa)),hAPP_int_int(number_number_of_int,Ya)))<->hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,Ya)),hAPP_int_int(number_number_of_int,Xa))=zero_zero_int).
% 214.44/213.25 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))).
% 214.44/213.25 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))).
% 214.44/213.25 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)).
% 214.44/213.25 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)).
% 214.44/213.25 all N M (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,M),N))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,M),hAPP_int_int(div_mod_int(M),N))).
% 214.44/213.25 all M N (hAPP_int_int(div_mod_int(M),N)=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)),N))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))-> (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))))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))-> (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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),M))))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))-> (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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N))))).
% 214.44/213.25 all N 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)=M->N=hAPP_nat_nat(suc,zero_zero_nat))).
% 214.44/213.25 all M K_2 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,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)=K_2->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),K_2)))))).
% 214.44/213.25 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)))).
% 214.44/213.25 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)))).
% 214.44/213.25 all I 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,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,I))),N))).
% 214.44/213.25 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_nat_nat(suc,zero_zero_nat)))=N).
% 214.44/213.25 all Ma Na (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),Na)))<->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)),Na))).
% 214.44/213.25 hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,zero_zero_nat))=one_one_int.
% 214.44/213.25 hAPP_int_nat(nat,one_one_int)=hAPP_nat_nat(suc,zero_zero_nat).
% 214.44/213.25 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))).
% 214.44/213.25 all Wa Z_2 (is_int(Z_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Wa),Z_2))<-> (exists N_1 (Z_2=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Wa),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))))))).
% 214.44/213.25 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))).
% 214.44/213.25 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))).
% 214.44/213.25 all N 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)))).
% 214.44/213.25 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))).
% 214.44/213.25 all R_2 S_1 T_1 R_4 S_3 M T_2 N (R_4=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))-> (R_2=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))->hAPP_int_int(div_mod_int(R_4),R_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(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_4),R_2)),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_4),R_2)),T_1))),N)))).
% 214.44/213.25 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)))).
% 214.44/213.25 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))).
% 214.44/213.25 hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))=hAPP_nat_nat(suc,zero_zero_nat).
% 214.44/213.25 all N (hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N)))=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)).
% 214.44/213.25 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))=N).
% 214.44/213.25 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat))).
% 214.44/213.25 all N M ((M=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=N)& (M!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=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)))).
% 214.44/213.25 all X 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)))).
% 214.44/213.25 all M 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,M),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)=zero_zero_nat)& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)=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)),N)))).
% 214.44/213.25 all M 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,M),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)=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)),N)))).
% 214.44/213.25 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)))).
% 214.44/213.25 all V_1 W (hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,V_1))),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_1)),hAPP_int_int(number_number_of_int,W)))).
% 214.44/213.25 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(nat_tsub(X),Y))))).
% 214.44/213.25 all P_1 Na K (is_int(Na)&is_int(K)-> (hBOOL(hAPP_int_bool(P_1,hAPP_int_int(div_mod_int(Na),K)))<-> (K=zero_zero_int->hBOOL(hAPP_int_bool(P_1,Na)))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))-> (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))&Na=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,J_1))))))& (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),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),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&Na=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),I_2)),J_1)->hBOOL(hAPP_int_bool(P_1,J_1)))))))).
% 214.44/213.25 all Q_1 B_2 R_2 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_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),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_1),C_1))),R_2)))))).
% 214.44/213.25 all Q_1 B_2 R_2 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_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),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_1),C_1))),R_2)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_2),C_1)))))).
% 214.44/213.25 all Q_1 B_2 R_2 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_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_2),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_1),C_1))),R_2)))))).
% 214.44/213.25 all Q_1 B_2 R_2 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_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_2),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_1),C_1))),R_2)),zero_zero_int))))).
% 214.44/213.25 all A_6 B_7 Q_6 Y (is_int(B_7)&is_int(Y)-> (A_6=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_7),Q_6)),Y)-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_7))->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),B_7)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_7))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_7),Y))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),zero_zero_int)))-> (B_7!=zero_zero_int->hAPP_int_int(div_mod_int(A_6),B_7)=Y)))).
% 214.44/213.25 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))).
% 214.44/213.25 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->hAPP_int_int(nat_tsub(X),Y)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y)).
% 214.44/213.25 all X Y (hAPP_int_int(nat_tsub(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,X),Y))).
% 214.44/213.25 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)).
% 214.44/213.25 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))).
% 214.44/213.25 all N (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)=hAPP_nat_nat(suc,hAPP_nat_nat(suc,N))).
% 214.44/213.25 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),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))).
% 214.44/213.25 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,pls)),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit1,pls))))).
% 214.44/213.25 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))).
% 214.44/213.25 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)))))).
% 214.44/213.25 all V_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_int_nat(number_number_of_nat,V_1)))->hAPP_int_nat(number_number_of_nat,V_1)=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_1)),one_one_nat))).
% 214.44/213.25 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))).
% 214.44/213.25 all M V_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)))),hAPP_int_nat(number_number_of_nat,V_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)),hAPP_int_nat(number_number_of_nat,V_1))).
% 214.44/213.25 all M N (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)=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)).
% 214.44/213.25 all M N (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))))=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))).
% 214.44/213.25 all Q_2 Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),Q_2)),Ma))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),hAPP_nat_nat(suc,Q_2))))<->Q_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,Ma),Na))).
% 214.44/213.25 all P_1 Ma Na (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,Ma),Na)))<->Na=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,Na),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,Na),hAPP_nat_nat(suc,Q_4))))&hBOOL(hAPP_nat_bool(P_1,Q_4))))).
% 214.44/213.25 all M 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,N),M))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)=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)),N)))).
% 214.44/213.25 all Xa (hAPP_int_int(div_mod_int(Xa),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(Xa),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=one_one_int).
% 214.44/213.25 all P_1 Na K (is_int(Na)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),K))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Na),K)),hAPP_int_int(div_mod_int(Na),K)))<-> (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))&Na=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),I_2)),J_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1)))))))).
% 214.44/213.25 all P_1 Na K (is_int(Na)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Na),K)),hAPP_int_int(div_mod_int(Na),K)))<-> (all I_2 J_1 (is_int(I_2)&is_int(J_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,K),J_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,J_1),zero_zero_int))&Na=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),I_2)),J_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(P_1,I_2),J_1)))))))).
% 214.44/213.25 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)).
% 214.44/213.25 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->N=zero_zero_nat|N=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.44/213.25 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)).
% 214.44/213.25 all Y X ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->hAPP_int_int(nat_tsub(X),Y)=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Y),X))->hAPP_int_int(nat_tsub(X),Y)=zero_zero_int)).
% 214.44/213.25 all N (N!=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)),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)).
% 214.44/213.25 all N (N!=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)),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)).
% 214.44/213.25 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))))).
% 214.44/213.25 all V_2 (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_2))=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_2)))).
% 214.44/213.25 all N (N!=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)),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)).
% 214.44/213.25 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)).
% 214.44/213.25 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))).
% 214.44/213.25 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)))).
% 214.44/213.25 all Xa A_1 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_1),zero_zero_int),P_5))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),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_1),hAPP_int_int(multInv(P_5),Xa)))),hAPP_i1948725293t_bool(sRStar,P_5))))))).
% 214.44/213.25 all N 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))=A_3))).
% 214.44/213.25 all M_5 D_4 (is_int(M_5)-> (hAPP_int_int(div_mod_int(M_5),D_4)=zero_zero_int-> (exists Q_4 (is_int(Q_4)&M_5=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,D_4),Q_4))))).
% 214.44/213.25 all Na N_6 F ((all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),N_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_6))))).
% 214.44/213.25 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))))).
% 214.44/213.26 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))-> (exists K_1 (N=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),K_1))))).
% 214.44/213.26 all M N (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M),N))),N)).
% 214.44/213.26 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hAPP_nat_nat(div_mod_nat(M),N)=M).
% 214.44/213.26 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(div_mod_nat(M),N)),M)).
% 214.44/213.26 all K_2 M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),hAPP_nat_nat(div_mod_nat(M),N))=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))).
% 214.44/213.26 all M N K_2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(div_mod_nat(M),N)),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),K_2))).
% 214.44/213.26 all Xa P_5 (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(sRStar,P_5)))->hAPP_int_int(standardRes(P_5),Xa)=Xa)).
% 214.44/213.26 all M (hAPP_nat_nat(div_mod_nat(M),hAPP_nat_nat(suc,zero_zero_nat))=zero_zero_nat).
% 214.44/213.26 all M N ((hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M),N))=N->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M)),N)=zero_zero_nat)& (hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M),N))!=N->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M)),N)=hAPP_nat_nat(suc,hAPP_nat_nat(div_mod_nat(M),N)))).
% 214.44/213.26 all M 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,hAPP_nat_nat(div_mod_nat(M),N)),N))).
% 214.44/213.26 all Ma D_1 (hAPP_nat_nat(div_mod_nat(Ma),D_1)=zero_zero_nat<-> (exists Q_4 (Ma=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D_1),Q_4)))).
% 214.44/213.26 all M N (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hAPP_nat_nat(div_mod_nat(M),N)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),N)).
% 214.44/213.26 all M N ((hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hAPP_nat_nat(div_mod_nat(M),N)=M)& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->hAPP_nat_nat(div_mod_nat(M),N)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),N))).
% 214.44/213.26 all K_2 N 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)),M)),N)=hAPP_nat_nat(div_mod_nat(M),N)).
% 214.44/213.26 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hAPP_nat_nat(div_mod_nat(M),N)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),N)).
% 214.44/213.26 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))).
% 214.44/213.26 all X Y (hAPP_int_int(div_mod_int(hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(div_mod_nat(X),Y))).
% 214.44/213.26 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))).
% 214.44/213.26 all Xa P_5 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(sRStar,P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(sr,P_5)))).
% 214.44/213.26 all M 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(div_mod_nat(M),N)),N))).
% 214.44/213.26 all K_2 N 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)),M))),N)=hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,M)),N)).
% 214.44/213.26 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)))).
% 214.44/213.26 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))).
% 214.44/213.26 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))).
% 214.44/213.26 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(div_mod_nat(M),N))).
% 214.44/213.26 all N M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_nat_nat(div_mod_nat(M),N))).
% 214.44/213.26 all M N (hAPP_nat_nat(div_mod_nat(M),N)=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)),N))).
% 214.44/213.26 all Xa P_5 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),hAPP_i1948725293t_bool(sRStar,P_5)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Xa),zero_zero_int),P_5))).
% 214.44/213.26 all P_1 Na K (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(div_mod_nat(Na),K)))<-> (K=zero_zero_nat->hBOOL(hAPP_nat_bool(P_1,Na)))& (K!=zero_zero_nat-> (all I_2 J_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,J_1),K))-> (Na=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K),I_2)),J_1)->hBOOL(hAPP_nat_bool(P_1,J_1))))))).
% 214.44/213.26 all Q_1 R_2 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_2),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_1),C_1))),R_2)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_2),C_1))))).
% 214.44/213.26 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).
% 214.44/213.26 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))).
% 214.44/213.26 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hAPP_int_nat(nat,hAPP_int_int(div_mod_int(X),Y))=hAPP_nat_nat(div_mod_nat(hAPP_int_nat(nat,X)),hAPP_int_nat(nat,Y)))).
% 214.44/213.26 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(nat,X)),hAPP_int_nat(nat,Y))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(X),Y)))).
% 214.44/213.26 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))))).
% 214.44/213.26 all M N (hAPP_nat_nat(div_mod_nat(M),hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,N))))=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))).
% 214.44/213.26 all M N (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,hAPP_nat_nat(suc,hAPP_nat_nat(suc,M)))),N)=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)).
% 214.44/213.26 all M V_1 (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_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)),hAPP_int_nat(number_number_of_nat,V_1))).
% 214.44/213.26 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)))).
% 214.44/213.26 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).
% 214.44/213.26 all Xa 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,Xa),hAPP_i1948725293t_bool(sRStar,P_5)))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(standardRes(P_5),Xa)),hAPP_i1948725293t_bool(sRStar,P_5)))))).
% 214.44/213.26 all Xa 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),Xa)),hAPP_i1948725293t_bool(sRStar,P_5)))<-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Xa),zero_zero_int),P_5)))).
% 214.44/213.26 all Ya Xa 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,Xa),hAPP_i1948725293t_bool(sRStar,P_5)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),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,Xa),Ya))),hAPP_i1948725293t_bool(sRStar,P_5))))))).
% 214.44/213.26 all Xa 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,Xa),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),Xa))),hAPP_i1948725293t_bool(sRStar,P_5)))))).
% 214.44/213.26 all X N Y (hAPP_nat_nat(div_mod_nat(X),N)=hAPP_nat_nat(div_mod_nat(Y),N)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Y),X))-> (exists Q_4 (X=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),Q_4)))))).
% 214.44/213.26 all Na Ma F ((all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_1))))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,N_1))),hAPP_nat_nat(F,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,Ma)))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,Ma)),hAPP_nat_nat(F,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma)))).
% 214.44/213.26 all Na N_6 F ((all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_1)),hAPP_nat_nat(F,hAPP_nat_nat(suc,N_1))))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,hAPP_nat_nat(suc,N_1))),hAPP_nat_nat(F,N_1)))))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),N_6))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,Na)),hAPP_nat_nat(F,N_6)))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(F,N_6)),hAPP_nat_nat(F,Na))))).
% 214.44/213.26 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))))).
% 214.44/213.26 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)))).
% 214.44/213.26 all M D_3 R_2 (hAPP_nat_nat(div_mod_nat(M),D_3)=R_2-> (exists Q_4 (M=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,R_2),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Q_4),D_3))))).
% 214.44/213.26 all Xa Na Ya (hAPP_nat_nat(div_mod_nat(Xa),Na)=hAPP_nat_nat(div_mod_nat(Ya),Na)<-> (exists Q1 Q2 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Xa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),Q1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ya),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),Q2))))).
% 214.44/213.26 all M_5 D_4 (hAPP_nat_nat(div_mod_nat(M_5),D_4)=zero_zero_nat-> (exists Q_4 (M_5=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,D_4),Q_4)))).
% 214.44/213.26 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)))))).
% 214.44/213.26 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)))).
% 214.44/213.26 all C_1 A_3 B_2 Q_1 R_2 (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_1),R_2)))-> (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_1),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_1),C_1))),R_2)))))))).
% 214.44/213.26 all V_2 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_nat_nat(suc,zero_zero_nat))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_2)))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(suc,zero_zero_nat)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(one_one_int),hAPP_int_int(number_number_of_int,V_2))))).
% 214.44/213.26 all X (is_int(X)-> (-hBOOL(hAPP_int_bool(even_odd_even_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(bit1,pls)))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))),one_one_int)=X)).
% 214.44/213.26 all B_2 A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_2))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all Y_1 (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),Y_1))),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_3),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),B_2)))))))).
% 214.44/213.26 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)))))).
% 214.44/213.26 -hBOOL(hAPP_int_bool(nat_neg,zero_zero_int)).
% 214.44/213.26 hBOOL(hAPP_int_bool(even_odd_even_int,zero_zero_int)).
% 214.44/213.26 -hBOOL(hAPP_int_bool(nat_neg,one_one_int)).
% 214.44/213.26 -hBOOL(hAPP_int_bool(even_odd_even_int,one_one_int)).
% 214.44/213.26 all Y X (-hBOOL(hAPP_int_bool(even_odd_even_int,X))-> (-hBOOL(hAPP_int_bool(even_odd_even_int,Y))-> -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y))))).
% 214.44/213.26 all X Y (hBOOL(hAPP_int_bool(even_odd_even_int,Y))->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)))).
% 214.44/213.26 all Y X (hBOOL(hAPP_int_bool(even_odd_even_int,X))->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)))).
% 214.44/213.26 all Xa Ya (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Ya)))<->hBOOL(hAPP_int_bool(even_odd_even_int,Xa))|hBOOL(hAPP_int_bool(even_odd_even_int,Ya))).
% 214.44/213.26 all Y X (-hBOOL(hAPP_int_bool(even_odd_even_int,X))-> (-hBOOL(hAPP_int_bool(even_odd_even_int,Y))->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))))).
% 214.44/213.26 all Y X (-hBOOL(hAPP_int_bool(even_odd_even_int,X))-> (hBOOL(hAPP_int_bool(even_odd_even_int,Y))-> -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))))).
% 214.44/213.26 all Y X (hBOOL(hAPP_int_bool(even_odd_even_int,X))-> (-hBOOL(hAPP_int_bool(even_odd_even_int,Y))-> -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))))).
% 214.44/213.26 all Y X (hBOOL(hAPP_int_bool(even_odd_even_int,X))-> (hBOOL(hAPP_int_bool(even_odd_even_int,Y))->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))))).
% 214.44/213.26 all Xa Ya (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa),Ya)))<->hBOOL(hAPP_int_bool(even_odd_even_int,Xa))&hBOOL(hAPP_int_bool(even_odd_even_int,Ya))| -hBOOL(hAPP_int_bool(even_odd_even_int,Xa))& -hBOOL(hAPP_int_bool(even_odd_even_int,Ya))).
% 214.44/213.26 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))))).
% 214.44/213.26 all N (-hBOOL(hAPP_int_bool(nat_neg,hAPP_nat_int(semiri1621563631at_int,N)))).
% 214.44/213.26 all Xa Ya (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),Ya)))<->hBOOL(hAPP_int_bool(even_odd_even_int,Xa))&hBOOL(hAPP_int_bool(even_odd_even_int,Ya))| -hBOOL(hAPP_int_bool(even_odd_even_int,Xa))& -hBOOL(hAPP_int_bool(even_odd_even_int,Ya))).
% 214.44/213.26 all N X (-hBOOL(hAPP_int_bool(even_odd_even_int,X))-> -hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N)))).
% 214.44/213.26 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))).
% 214.44/213.26 all Wa (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,Wa))))<->hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,Wa)))).
% 214.44/213.26 all Xa (-hBOOL(hAPP_int_bool(nat_neg,Xa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))).
% 214.44/213.26 -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,pls))).
% 214.44/213.26 all Wa (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,Wa))))<->hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,Wa)))).
% 214.44/213.26 all Z_1 (hBOOL(hAPP_int_bool(nat_neg,Z_1))->hAPP_int_nat(nat,Z_1)=zero_zero_nat).
% 214.44/213.26 all Xa Na (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),Na)))<->hBOOL(hAPP_int_bool(even_odd_even_int,Xa))&Na!=zero_zero_nat).
% 214.44/213.26 hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,min))).
% 214.44/213.26 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)).
% 214.44/213.26 all Q_5 R_4 A_3 B_2 Q_1 R_2 (is_int(R_4)&is_int(B_2)&is_int(R_2)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_5),R_4)))-> (B_2!=zero_zero_int->R_2=R_4)))).
% 214.44/213.26 all Q_5 R_4 A_3 B_2 Q_1 R_2 (is_int(Q_5)&is_int(B_2)&is_int(Q_1)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2)))-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_5),R_4)))-> (B_2!=zero_zero_int->Q_1=Q_5)))).
% 214.44/213.26 all A_3 Q_1 R_2 (is_int(A_3)&is_int(R_2)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,A_3),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2)))-> (A_3!=zero_zero_int->R_2=zero_zero_int))).
% 214.44/213.26 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))))).
% 214.44/213.26 all V_1 (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_int_nat(number_number_of_nat,V_1)=zero_zero_nat).
% 214.44/213.26 all A_3 Q_1 R_2 (is_int(A_3)&is_int(Q_1)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,A_3),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2)))-> (A_3!=zero_zero_int->Q_1=one_one_int))).
% 214.44/213.26 all A_3 B_2 Q_1 R_2 (is_int(B_2)&is_int(Q_1)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2)))-> (B_2!=zero_zero_int->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_3),B_2)=Q_1))).
% 214.44/213.26 all A_3 B_2 Q_1 R_2 (is_int(B_2)&is_int(R_2)-> (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_3,B_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2)))-> (B_2!=zero_zero_int->hAPP_int_int(div_mod_int(A_3),B_2)=R_2))).
% 214.44/213.26 all Va V (is_int(Va)&is_int(V)-> (hAPP_int_nat(number_number_of_nat,Va)=hAPP_int_nat(number_number_of_nat,V)<-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,Va)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(number_number_of_int,V)),zero_zero_int)))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,Va)))-> (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))->hAPP_int_int(number_number_of_int,Va)=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V)))->Va=V)))).
% 214.44/213.26 all V_2 K_2 V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),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_1)))-> (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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),K_2))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_1)),K_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_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_2)),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_1),V_2))),K_2)))).
% 214.44/213.26 all V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_1))=zero_zero_int)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_int(semiri1621563631at_int,hAPP_int_nat(number_number_of_nat,V_1))=hAPP_int_int(number_number_of_int,V_1))).
% 214.44/213.26 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)))))).
% 214.44/213.26 all Xa (is_int(Xa)-> (hBOOL(hAPP_int_bool(even_odd_even_int,Xa))<-> (exists Y_1 (is_int(Y_1)&Xa=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_1))))).
% 214.44/213.26 all Xa (hBOOL(hAPP_int_bool(even_odd_even_int,Xa))<->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)))),Xa))).
% 214.44/213.26 all V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(suc,hAPP_int_nat(number_number_of_nat,V_1))=one_one_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(suc,hAPP_int_nat(number_number_of_nat,V_1))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_1)))).
% 214.44/213.26 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)))))))).
% 214.44/213.26 all Xa (hBOOL(hAPP_int_bool(even_odd_even_int,Xa))<->hAPP_int_int(div_mod_int(Xa),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int).
% 214.44/213.26 all X (is_int(X)-> (hBOOL(hAPP_int_bool(even_odd_even_int,X))->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),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=X)).
% 214.44/213.26 all N V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_1)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,zero_zero_nat),N))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_1)),N)=hAPP_int_nat(nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,V_1)),N)))).
% 214.44/213.26 all W V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_1)),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_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,hAPP_int_nat(number_number_of_nat,V_1)),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_1)),hAPP_int_nat(number_number_of_nat,W))))).
% 214.44/213.26 all V_2 V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(number_number_of_nat,V_1)),hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_int_nat(number_number_of_nat,V_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(number_number_of_int,V_1)),hAPP_int_int(number_number_of_int,V_2))))).
% 214.44/213.26 all V_2 V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(div_mod_nat(hAPP_int_nat(number_number_of_nat,V_1)),hAPP_int_nat(number_number_of_nat,V_2))=zero_zero_nat)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))-> (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_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(number_number_of_nat,V_1))& (-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_1)),hAPP_int_nat(number_number_of_nat,V_2))=hAPP_int_nat(nat,hAPP_int_int(div_mod_int(hAPP_int_int(number_number_of_int,V_1)),hAPP_int_int(number_number_of_int,V_2)))))).
% 214.44/213.26 all N V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_1)),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),N))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,V_1)),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(number_number_of_nat,hAPP_int_int(succ,V_1))),N))).
% 214.44/213.26 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))).
% 214.44/213.26 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)))).
% 214.44/213.26 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))))).
% 214.44/213.26 all Xa (is_int(Xa)-> (-hBOOL(hAPP_int_bool(even_odd_even_int,Xa))<-> (exists Y_1 (is_int(Y_1)&Xa=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_1)),one_one_int))))).
% 214.44/213.26 all A_3 B_2 Q_1 R_2 (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_1)),R_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),R_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,R_2),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_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_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,Q_1),R_2))))).
% 214.44/213.26 all X (-hBOOL(hAPP_int_bool(even_odd_even_int,X))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),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),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),one_one_int)).
% 214.44/213.26 all X (hBOOL(hAPP_int_bool(even_odd_even_int,X))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),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),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.44/213.26 all A_3 B_2 C_1 Q_1 R_2 (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_1),R_2)))-> (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_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),R_2)),C_1))),hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),R_2)),C_1))))))).
% 214.44/213.26 all W V_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_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,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_1))))->negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_1))=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_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,hAPP_int_int(number_number_of_int,W)),hAPP_int_int(number_number_of_int,V_1))))->negDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_1))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,V_1)),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_1)))))).
% 214.44/213.26 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))))).
% 214.44/213.26 all B_2 A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),B_2))-> (exists D_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_2))& (all Y_1 (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),Y_1))),D_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),B_2)))))))).
% 214.44/213.26 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))))).
% 214.44/213.26 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)))))).
% 214.44/213.26 all W V_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(number_number_of_int,V_1)))-> (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_1)))->posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_1))=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_1)))->posDivAlg(hAPP_int_int(number_number_of_int,W),hAPP_int_int(number_number_of_int,V_1))=hAPP_P1975530577nt_int(adjust(hAPP_int_int(number_number_of_int,V_1)),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_1)))))).
% 214.54/213.26 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))))).
% 214.54/213.26 all Ma No F ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_1)),hAPP_nat_real(F,hAPP_nat_nat(suc,N_1)))))->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))))).
% 214.54/213.26 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)).
% 214.54/213.26 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))))).
% 214.54/213.26 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)))).
% 214.54/213.26 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)))).
% 214.54/213.26 all X 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))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(number267125858f_real,N)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X)),hAPP_int_nat(number_number_of_nat,N)))).
% 214.54/213.26 all A_1 B_1 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(negDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_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,A_1),B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))->negDivAlg(A_1,B_1)=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_1),B_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,A_1),B_1)))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int)))->negDivAlg(A_1,B_1)=hAPP_P1975530577nt_int(adjust(B_1),negDivAlg(A_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)))),B_1))))).
% 214.54/213.26 all X 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))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(number267125858f_real,N)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X)),hAPP_int_nat(number_number_of_nat,N)))).
% 214.54/213.26 all Xa Na (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,Na)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(Xa)),hAPP_int_nat(number_number_of_nat,Na)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),hAPP_int_real(number267125858f_real,Na)))))).
% 214.54/213.26 all A_1 B_1 (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(posDivAlg_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int))->posDivAlg(A_1,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),A_1))& (-(hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1))|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),zero_zero_int)))->posDivAlg(A_1,B_1)=hAPP_P1975530577nt_int(adjust(B_1),posDivAlg(A_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)))),B_1))))).
% 214.54/213.26 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)).
% 214.54/213.26 natfloor(zero_zero_real)=zero_zero_nat.
% 214.54/213.26 all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natfloor(X))).
% 214.54/213.26 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natfloor(X)),natfloor(Y)))).
% 214.54/213.26 all N (natfloor(hAPP_int_real(number267125858f_real,N))=hAPP_int_nat(number_number_of_nat,N)).
% 214.54/213.26 natfloor(one_one_real)=one_one_nat.
% 214.54/213.26 natceiling(zero_zero_real)=zero_zero_nat.
% 214.54/213.26 all X hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,zero_zero_nat),natceiling(X))).
% 214.54/213.26 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X)),natceiling(Y)))).
% 214.54/213.26 all N (natceiling(hAPP_int_real(number267125858f_real,N))=hAPP_int_nat(number_number_of_nat,N)).
% 214.54/213.26 natceiling(one_one_real)=one_one_nat.
% 214.54/213.26 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))->natfloor(X)=zero_zero_nat).
% 214.54/213.26 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))->natceiling(X)=zero_zero_nat).
% 214.54/213.26 all Xa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),natfloor(Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Xa))).
% 214.54/213.26 all Xa (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(Xa)),one_one_nat))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),one_one_real))).
% 214.54/213.26 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)))))).
% 214.54/213.26 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),one_one_real))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X)),one_one_nat)).
% 214.54/213.26 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),one_one_real))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X)),one_one_nat)).
% 214.54/213.26 all Xa Na (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,Na)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,Na)),natfloor(Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,Na)),Xa))))).
% 214.54/213.26 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)))).
% 214.54/213.26 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)))).
% 214.54/213.26 all J A_1 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_1),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A_1))-> (-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_1,P_5),J))=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.26 all A_1 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_1),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A_1))-> (all X_1 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),setS(A_1,P_5)))->hAPP_f957591787ol_nat(finite_card_int,X_1)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 214.54/213.26 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)))).
% 214.54/213.26 all Z_1 (is_int(Z_1)-> -(all M_1 N_1 (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_1))))).
% 214.54/213.26 hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,zero_z126310315umeral),one_on1645066479umeral)=zero_z126310315umeral.
% 214.54/213.26 zero_z126310315umeral=hAPP_i769753017umeral(number1443263063umeral,pls).
% 214.54/213.26 one_on1645066479umeral=hAPP_i769753017umeral(number1443263063umeral,hAPP_int_int(bit1,pls)).
% 214.54/213.26 all A_1 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_1),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A_1))->hAPP_nat_int(semiri1621563631at_int,hAPP_f521865025ol_nat(finite1876863882t_bool,setS(A_1,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)))))))).
% 214.54/213.26 all A_1 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_1),zero_zero_int),P_5))->comple219730294t_bool(setS(A_1,P_5))=hAPP_i1948725293t_bool(sRStar,P_5)))).
% 214.54/213.26 all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,Xa))=one_one_int)).
% 214.54/213.26 all K_2 L_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_2),L_2))-> (exists N_1 (L_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K_2),N_1)))).
% 214.54/213.26 all I_1 P_1 K (hBOOL(hAPP_nat_bool(P_1,K))-> ((all N_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_1)))->hBOOL(hAPP_nat_bool(P_1,N_1))))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,K),I_1))))).
% 214.54/213.26 all 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),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))),X))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.26 -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,one_one_int),zEven)).
% 214.54/213.26 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Ya)),zEven))).
% 214.54/213.26 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Ya)),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zEven))).
% 214.54/213.26 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa),Ya)),zEven)))).
% 214.54/213.26 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),Ya)),zEven))<-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zEven)))).
% 214.54/213.26 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),Ya)),zEven)))).
% 214.54/213.26 all Xa (-hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))).
% 214.54/213.27 all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))|hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))).
% 214.54/213.27 all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))<-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))).
% 214.54/213.27 all Xa (-(hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven)))).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,Xa)),hAPP_real_real(ln,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))))).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya))-> (hAPP_real_real(ln,Xa)=hAPP_real_real(ln,Ya)<->Xa=Ya))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X)),X))).
% 214.54/213.27 hAPP_real_real(ln,one_one_real)=zero_zero_real.
% 214.54/213.27 all A_1 B_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),B_1)),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),zOdd)))).
% 214.54/213.27 all A_1 B_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),B_1)),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),zEven)))).
% 214.54/213.27 all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),B_1)),zOdd)))).
% 214.54/213.27 all B_1 A_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),B_1)),zEven)))).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),Ya)),zOdd)))).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zEven))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),Ya)),zOdd)))).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),Ya)),zEven)))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hAPP_real_real(ln,X)=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),one_one_real)->X=one_one_real)).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,Xa)),hAPP_real_real(ln,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,X)))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,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,one_one_real),X)))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,X)),zero_zero_real)))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(ln,Xa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real)))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hAPP_real_real(ln,Xa)=zero_zero_real<->Xa=one_one_real)).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Xa)))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(ln,X)))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),one_one_real)))).
% 214.54/213.27 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),Na)),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven)))).
% 214.54/213.27 all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa),one_one_int)),zEven))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Xa)))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(ln,X)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X)))).
% 214.54/213.27 all Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(ln,X)),hAPP_real_real(ln,Y)))).
% 214.54/213.27 all 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,hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X))),X))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),X))->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))),X))).
% 214.54/213.27 all Xa K (Xa=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)->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))).
% 214.54/213.27 all Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))->hAPP_int_int(div_mod_int(Xa),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,Xa),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,Ya),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Xa),Ya)),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,Xa),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Ya)).
% 214.54/213.27 all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),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,Xa),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=Xa)).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zEven))->hAPP_int_int(hAPP_int_fun_int_int(div_div_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa),Ya)),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,Xa),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,Ya),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.54/213.27 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))-> ((hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ya),zEven)))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,Xa))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(number_number_of_int,min)),hAPP_int_nat(nat,Ya))))).
% 214.54/213.27 all 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),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),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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)))))).
% 214.54/213.27 all Xa (is_int(Xa)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))-> -(all K_1 (is_int(K_1)->Xa!=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))))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X)),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))),X))),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.27 all N I ((I=zero_z126310315umeral->hAPP_nat_nat(code_nat_of_aux(I),N)=N)& (I!=zero_z126310315umeral->hAPP_nat_nat(code_nat_of_aux(I),N)=hAPP_nat_nat(code_nat_of_aux(hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,I),one_on1645066479umeral)),hAPP_nat_nat(suc,N)))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(ln,X)),X))).
% 214.54/213.27 all 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),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),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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))))).
% 214.54/213.27 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X)),hAPP_real_real(exp_real,Y)))).
% 214.54/213.27 all Xa Ya (hAPP_real_real(exp_real,Xa)=hAPP_real_real(exp_real,Ya)<->Xa=Ya).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,Xa)),hAPP_real_real(exp_real,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))).
% 214.54/213.27 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X)),hAPP_real_real(exp_real,Y)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,Xa)),hAPP_real_real(exp_real,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))).
% 214.54/213.27 all R_2 A_3 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),A_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),R_2))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,A_3),R_2)).
% 214.54/213.27 all X (hAPP_real_real(abs_abs_real,hAPP_real_real(exp_real,X))=hAPP_real_real(exp_real,X)).
% 214.54/213.27 all X (hAPP_real_real(ln,hAPP_real_real(exp_real,X))=X).
% 214.54/213.27 all U_1 X (hAPP_real_real(exp_real,U_1)=X->hAPP_real_real(ln,X)=U_1).
% 214.54/213.27 all Y X (hAPP_real_real(exp_real,Y)=X->hAPP_real_real(ln,X)=Y).
% 214.54/213.27 all Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,one_one_real)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,Y)),Y)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,X)),X))))).
% 214.54/213.27 all X (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X)),zero_zero_real))).
% 214.54/213.27 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(exp_real,X))).
% 214.54/213.27 all X (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,X)),zero_zero_real))).
% 214.54/213.27 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(exp_real,X))).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Xa),Ya)))<-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),zero_zero_real))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ya)))& (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),zero_zero_real)))).
% 214.54/213.27 all Xa (hAPP_real_real(exp_real,Xa)=one_one_real<->Xa=zero_zero_real).
% 214.54/213.27 all F A_1 B_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,A_1)),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_1)),hAPP_real_real(F,A_1))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_1))),A_1))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B_1)),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_1)),hAPP_real_real(F,A_1))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_1))),B_1))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,Xa)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),zero_zero_real))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(exp_real,Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(exp_real,Xa)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(exp_real,X)))).
% 214.54/213.27 all X 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)),hAPP_real_real(exp_real,X))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(exp_real,hAPP_real_real(ln,X))=X).
% 214.54/213.27 all Xa (hAPP_real_real(exp_real,hAPP_real_real(ln,Xa))=Xa<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))).
% 214.54/213.27 all 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,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X)),hAPP_real_real(exp_real,X)))).
% 214.54/213.27 all Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(ln,X)),hAPP_real_real(ln,Y)))).
% 214.54/213.27 all Xa Ya Z_2 (Xa=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Ya),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)))),Xa)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,Ya),Z_2)).
% 214.54/213.27 all X (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=X).
% 214.54/213.27 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.54/213.27 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->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),Y)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),Y))).
% 214.54/213.27 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))))).
% 214.54/213.27 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))))).
% 214.54/213.27 all 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),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(exp_real,X)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),X)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 214.54/213.27 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Y))-> (exists 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(minus_minus_real,Y),one_one_real)))&hAPP_real_real(exp_real,X_1)=Y))).
% 214.54/213.27 all 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,one_one_real),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),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))),X))),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->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)=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))).
% 214.54/213.27 all X 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))),hAPP_complex_real(norm_norm_complex,X))).
% 214.54/213.27 all R_2 (hAPP_real_real(norm_norm_real,R_2)=hAPP_real_real(abs_abs_real,R_2)).
% 214.54/213.27 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))).
% 214.54/213.27 all U_1 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(times_times_real,U_1),U_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),X))).
% 214.54/213.27 all Xa Ya (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),Ya)=zero_zero_real<->Ya=hAPP_real_real(uminus_uminus_real,Xa)).
% 214.54/213.27 all Xa A_1 (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),hAPP_real_real(uminus_uminus_real,A_1))=zero_zero_real<->Xa=A_1).
% 214.54/213.27 all Xa Ra (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Xa)),Ra))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Ra)),Xa))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ra))).
% 214.54/213.27 all R_2 S_1 (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_2),S_1)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_2),hAPP_real_real(uminus_uminus_real,S_1))).
% 214.54/213.27 all X Y (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),Y)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_real_real(uminus_uminus_real,Y))).
% 214.54/213.27 all X Y (hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_real_real(uminus_uminus_real,Y)))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y),hAPP_real_real(uminus_uminus_real,X)))).
% 214.54/213.27 all A_3 (hAPP_real_real(log(A_3),one_one_real)=zero_zero_real).
% 214.54/213.27 all A_3 X (hAPP_real_real(log(A_3),X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(ln,X)),hAPP_real_real(ln,A_3))).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,Xa)),Ya))).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),Ya)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),hAPP_real_real(uminus_uminus_real,Xa)))).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(uminus_uminus_real,Xa)),Ya))).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),Ya)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),hAPP_real_real(uminus_uminus_real,Xa)))).
% 214.54/213.27 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)).
% 214.54/213.27 all R_2 ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),zero_zero_real))->hAPP_real_real(abs_abs_real,R_2)=hAPP_real_real(uminus_uminus_real,R_2))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),zero_zero_real))->hAPP_real_real(abs_abs_real,R_2)=R_2)).
% 214.54/213.27 all X Y 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),Y)),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),hAPP_real_real(uminus_uminus_real,L_2)))),hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Y),hAPP_real_real(uminus_uminus_real,M)))))).
% 214.54/213.27 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)).
% 214.54/213.27 all Ya Xa A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(log(A_1),Xa)),hAPP_real_real(log(A_1),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)))))).
% 214.54/213.27 all X (hAPP_real_real(ln,X)=hAPP_real_real(log(hAPP_real_real(exp_real,one_one_real)),X)).
% 214.54/213.27 all Ya Xa A_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),A_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(log(A_1),Xa)),hAPP_real_real(log(A_1),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)))))).
% 214.54/213.27 all U_1 X 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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.54/213.27 all 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),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))),hAPP_real_real(uminus_uminus_real,X))))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),one_one_real))->hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),X))=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),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),X)))))).
% 214.54/213.27 all Y X 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))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hAPP_real_real(log(A_3),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(log(A_3),X)),hAPP_real_real(log(A_3),Y)))))).
% 214.54/213.27 all Y X 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))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hAPP_real_real(log(A_3),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(log(A_3),X)),hAPP_real_real(log(A_3),Y)))))).
% 214.54/213.27 all X 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))->hAPP_real_real(log(A_3),X)=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))))))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->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)=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))).
% 214.54/213.27 all 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(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)),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),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)))))).
% 214.54/213.27 all N 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))),hAPP_nat_int(semiri1621563631at_int,M))).
% 214.54/213.27 all N 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)))),hAPP_nat_int(semiri1621563631at_int,M))).
% 214.54/213.27 all X Y (hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),Y)=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),hAPP_complex_complex(uminus473333897omplex,Y))).
% 214.54/213.27 all Z_1 (is_int(Z_1)->hAPP_int_int(uminus_uminus_int,hAPP_int_int(uminus_uminus_int,Z_1))=Z_1).
% 214.54/213.27 hAPP_int_int(uminus_uminus_int,pls)=pls.
% 214.54/213.27 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))).
% 214.54/213.27 hAPP_int_int(uminus_uminus_int,zero_zero_int)=zero_zero_int.
% 214.54/213.27 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))).
% 214.54/213.27 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))).
% 214.54/213.27 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))).
% 214.54/213.27 all A_1 B_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),hAPP_int_int(uminus_uminus_int,Ma)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))).
% 214.54/213.27 all D_1 Ta (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),Ta))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(uminus_uminus_int,D_1)),Ta))).
% 214.54/213.27 all D_1 Ta (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),Ta))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(uminus_uminus_int,Ta)))).
% 214.54/213.27 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)).
% 214.54/213.27 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)).
% 214.54/213.27 all X M (hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,hAPP_int_int(div_mod_int(X),M))),M)=hAPP_int_int(div_mod_int(hAPP_int_int(uminus_uminus_int,X)),M)).
% 214.54/213.27 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))).
% 214.54/213.27 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))).
% 214.54/213.27 all Xa (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_int_int(uminus_uminus_int,Xa)))<->hBOOL(hAPP_int_bool(even_odd_even_int,Xa))).
% 214.54/213.27 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).
% 214.54/213.27 all Na Ma (hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,Na))=hAPP_nat_int(semiri1621563631at_int,Ma)<->Na=zero_zero_nat&Ma=zero_zero_nat).
% 214.54/213.27 all N M (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_nat_int(semiri1621563631at_int,N)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,M))))).
% 214.54/213.27 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)).
% 214.54/213.27 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))).
% 214.54/213.27 min=hAPP_int_int(uminus_uminus_int,one_one_int).
% 214.54/213.27 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)).
% 214.54/213.27 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).
% 214.54/213.27 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).
% 214.54/213.27 hAPP_int_int(uminus_uminus_int,min)=hAPP_int_int(bit1,pls).
% 214.54/213.27 all Na Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_nat_int(semiri1621563631at_int,Na)),hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,Ma))))<->Na=zero_zero_nat&Ma=zero_zero_nat).
% 214.54/213.27 all N hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N))),zero_zero_int)).
% 214.54/213.27 all N (hAPP_int_nat(nat,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N)))=zero_zero_nat).
% 214.54/213.27 all V_1 W (hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(number_number_of_int,V_1)),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_1),hAPP_int_int(uminus_uminus_int,W)))).
% 214.54/213.27 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)).
% 214.54/213.27 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)))).
% 214.54/213.27 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))).
% 214.54/213.27 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)).
% 214.54/213.27 all N hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N))))).
% 214.54/213.27 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)))))).
% 214.54/213.27 all N 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)))),zero_zero_int)).
% 214.54/213.27 all N (-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)))))).
% 214.54/213.27 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)))).
% 214.54/213.27 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)))).
% 214.54/213.27 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)))).
% 214.54/213.27 all A_1 Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zEven))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,A_1)),hAPP_int_nat(nat,Xa))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(nat,Xa)))).
% 214.54/213.27 all A_1 Xa (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(uminus_uminus_int,A_1)),hAPP_int_nat(nat,Xa))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(nat,Xa))))).
% 214.54/213.27 all A_1 B_1 Q_2 Ra (hBOOL(hAPP_P603027463t_bool(divmod_int_rel(A_1,B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),Ra)))->hBOOL(hAPP_P603027463t_bool(divmod_int_rel(hAPP_int_int(uminus_uminus_int,A_1),B_1),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,Ra),zero_zero_int)),hAPP_int_int(uminus_uminus_int,Q_2)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_int_int(uminus_uminus_int,Q_2)),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,Ra),zero_zero_int)),zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,B_1),Ra)))))).
% 214.54/213.27 all X (is_int(X)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X),zero_zero_int))-> (exists N_1 (X=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))))))).
% 214.54/213.27 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))-> (exists X_1 (hAPP_real_real(exp_real,X_1)=Y))).
% 214.54/213.27 all Y X 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),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),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))-> (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_real,hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),U_1))))))).
% 214.54/213.27 all Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X)),one_one_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,Y)),one_one_real))->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(arctan,X)),hAPP_real_real(arctan,Y))=hAPP_real_real(arctan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,one_one_real),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y)))))).
% 214.54/213.27 all X Y (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sqrt,X)),hAPP_real_real(sqrt,Y))).
% 214.54/213.27 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,X)),hAPP_real_real(sqrt,Y)))).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,Xa)),hAPP_real_real(sqrt,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))).
% 214.54/213.27 all Xa Ya (hAPP_real_real(sqrt,Xa)=hAPP_real_real(sqrt,Ya)<->Xa=Ya).
% 214.54/213.27 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,X)),hAPP_real_real(sqrt,Y)))).
% 214.54/213.27 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,Xa)),hAPP_real_real(sqrt,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))).
% 214.54/213.27 all Xa (hAPP_real_real(sqrt,Xa)=zero_zero_real<->Xa=zero_zero_real).
% 214.54/213.27 hAPP_real_real(sqrt,zero_zero_real)=zero_zero_real.
% 214.54/213.27 hAPP_real_real(sqrt,one_one_real)=one_one_real.
% 214.54/213.27 all Xa (hAPP_real_real(sqrt,Xa)=one_one_real<->Xa=one_one_real).
% 214.54/213.27 all X K_2 (hAPP_real_real(sqrt,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),K_2))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X)),K_2)).
% 214.54/213.27 all X Y (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sqrt,X)),hAPP_real_real(sqrt,Y))).
% 214.54/213.27 all X (hAPP_real_real(sqrt,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sqrt,X))).
% 214.54/213.27 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arctan,X)),hAPP_real_real(arctan,Y)))).
% 214.54/213.27 hAPP_real_real(arctan,zero_zero_real)=zero_zero_real.
% 214.54/213.27 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,X)),hAPP_real_real(arctan,Y)))).
% 214.54/213.27 all X (hAPP_real_real(arctan,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(arctan,X))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))-> (hAPP_real_real(sqrt,X)=zero_zero_real->X=zero_zero_real)).
% 214.54/213.27 all 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,zero_zero_real),hAPP_real_real(sqrt,X)))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,Xa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),zero_zero_real))).
% 214.54/213.27 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sqrt,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ya))).
% 214.54/213.27 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,Xa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(sqrt,X)!=zero_zero_real).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sqrt,X)))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(sqrt,X)))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sqrt,Xa)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),one_one_real))).
% 214.54/213.27 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(sqrt,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Ya))).
% 214.54/213.27 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sqrt,Xa)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real))).
% 214.54/213.27 all Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(sqrt,Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Ya))).
% 214.54/213.27 all X (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),X))=hAPP_real_real(abs_abs_real,X)).
% 214.54/213.27 all X Y hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),X)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),Y))))).
% 214.54/213.27 all X Y 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),X)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),Y))))).
% 214.54/213.27 all X (hAPP_real_real(arctan,X)=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),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))))).
% 214.54/213.27 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)))))).
% 214.54/213.27 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)))))).
% 214.54/213.27 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)))))).
% 214.54/213.27 all X (hAPP_real_real(sqrt,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=hAPP_real_real(abs_abs_real,X)).
% 214.54/213.27 all Xa (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,Xa)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=Xa<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=X).
% 214.54/213.27 all Y X (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=X-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))->hAPP_real_real(sqrt,X)=Y)).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sqrt,X)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.54/213.27 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))).
% 214.54/213.27 all X Y hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.27 all Y X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.27 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))))))))).
% 214.54/213.27 all X Y (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=X->Y=zero_zero_real).
% 214.54/213.27 all X Y (hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))=Y->X=zero_zero_real).
% 214.54/213.27 all X Y Xa_2 Ya_1 (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),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),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_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_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),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),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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.54/213.27 all X Y 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),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.27 all X Y hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,X)),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.27 all Y X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Y)),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.27 all X Y Xa_2 Ya_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(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),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_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))).
% 214.54/213.27 all X Y 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),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))),one_one_real)).
% 214.54/213.27 all Y X U_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X)),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)),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),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),U_1)))).
% 214.54/213.27 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)))))))))))).
% 214.54/213.27 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)))).
% 214.54/213.27 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))))).
% 214.54/213.27 pi!=zero_zero_real.
% 214.54/213.27 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),pi)).
% 214.54/213.27 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),pi)).
% 214.54/213.27 -hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,pi),zero_zero_real)).
% 214.54/213.27 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)).
% 214.54/213.27 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)))))).
% 214.54/213.27 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))).
% 214.54/213.27 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))))).
% 214.54/213.27 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.
% 214.54/213.27 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))))).
% 214.54/213.27 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)))))).
% 214.54/213.27 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)))))).
% 214.54/213.27 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)).
% 214.54/213.27 all Y hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,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)))))).
% 214.54/213.27 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))))).
% 214.54/213.27 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)).
% 214.54/213.27 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)))))),hAPP_real_real(arctan,Y))).
% 214.54/213.27 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)))))),hAPP_real_real(arctan,Y)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,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))))))).
% 214.54/213.27 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),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)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arcsin,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)))))))).
% 214.54/213.27 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),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))))).
% 214.54/213.27 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),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)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arcsin,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)))))))).
% 214.54/213.27 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arcsin,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)))))))).
% 214.54/213.27 all X (X!=zero_zero_real->hAPP_real_real(arctan,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),X))=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)),pi)),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),hAPP_real_real(arctan,X))).
% 214.54/213.27 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),one_one_real))->hAPP_real_real(cos,hAPP_real_real(arcsin,X))=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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.27 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),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)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arcsin,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,hAPP_real_real(arcsin,Y))=Y)).
% 214.54/213.27 all X Y (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X)),hAPP_real_real(cos,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(sin,Y)))).
% 214.54/213.27 all X Y (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,Y)),hAPP_real_real(sin,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,Y)),hAPP_real_real(cos,X)))).
% 214.54/213.27 all X (hAPP_real_real(sin,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X))).
% 214.54/213.27 all X (hAPP_real_real(cos,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(cos,X)).
% 214.54/213.27 hAPP_real_real(sin,zero_zero_real)=zero_zero_real.
% 214.54/213.27 all X (hAPP_real_real(cos,X)=one_one_real->hAPP_real_real(sin,X)=zero_zero_real).
% 214.54/213.27 all X Y (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X)),hAPP_real_real(cos,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(sin,Y)))).
% 214.54/213.27 all X (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(cos,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X)),hAPP_real_real(sin,X)))=one_one_real).
% 214.54/213.27 all X (hAPP_real_real(sin,X)=zero_zero_real->hAPP_real_real(abs_abs_real,hAPP_real_real(cos,X))=one_one_real).
% 214.54/213.27 all X Y (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,Y)),hAPP_real_real(cos,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,Y)),hAPP_real_real(sin,X)))).
% 214.54/213.27 all X Y (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(cos,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X)),hAPP_real_real(sin,Y)))).
% 214.54/213.27 all X Y (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(cos,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X)),hAPP_real_real(sin,Y)))).
% 214.54/213.27 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sin,X)),one_one_real)).
% 214.54/213.27 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,X)),one_one_real)).
% 214.54/213.28 hAPP_real_real(cos,zero_zero_real)=one_one_real.
% 214.54/213.28 hAPP_real_real(sin,pi)=zero_zero_real.
% 214.54/213.28 all X (hAPP_real_real(cos,hAPP_real_real(arctan,X))!=zero_zero_real).
% 214.54/213.28 all X (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))=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))),hAPP_real_real(cos,X))).
% 214.54/213.28 all X (hAPP_real_real(sgn_sgn_real,X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),hAPP_real_real(abs_abs_real,X))).
% 214.54/213.28 all 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))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(sin,X))))).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),pi))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(sin,X))))).
% 214.54/213.28 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),hAPP_real_real(sin,X))).
% 214.54/213.28 all 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,Y),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),pi))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,X)),hAPP_real_real(cos,Y)))))).
% 214.54/213.28 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(sin,X))),one_one_real)).
% 214.54/213.28 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),hAPP_real_real(cos,X))).
% 214.54/213.28 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_real_real(cos,X))),one_one_real)).
% 214.54/213.28 all X (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,pi),X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X))).
% 214.54/213.28 all X (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),pi))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X))).
% 214.54/213.28 hAPP_real_real(cos,pi)=hAPP_int_real(number267125858f_real,min).
% 214.54/213.28 all X (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),pi))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(cos,X))).
% 214.54/213.28 all R_2 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_2),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_2),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_2),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.54/213.28 all X (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sin,X)),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=one_one_real).
% 214.54/213.28 all X (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X)),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=one_one_real).
% 214.54/213.28 all X (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(sin,X)),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.54/213.28 all X (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X)),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.54/213.28 all X (hAPP_real_real(cos,X)=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))).
% 214.54/213.28 all X (hAPP_real_real(sin,X)=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))).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(sgn_sgn_real,X)=one_one_real).
% 214.54/213.28 all X (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))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,X)),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.54/213.28 all X (hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,X))=hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_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))))))).
% 214.54/213.28 all 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_real,Y),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),pi))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(cos,X)),hAPP_real_real(cos,Y)))))).
% 214.54/213.28 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,pi)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(cos,Y)),hAPP_real_real(cos,X)))))).
% 214.54/213.28 all X Y (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),Y))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X)),hAPP_real_real(cos,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(sin,Y))))),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),Y))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(cos,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(sin,X)),hAPP_real_real(sin,Y))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real).
% 214.54/213.28 all X (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))),hAPP_real_real(sin,X))),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))),hAPP_real_real(cos,X))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))=zero_zero_real).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),zero_zero_real))->hAPP_real_real(sgn_sgn_real,X)=hAPP_int_real(number267125858f_real,min)).
% 214.54/213.28 all X ((X=zero_zero_real->hAPP_real_real(sgn_sgn_real,X)=zero_zero_real)& (X!=zero_zero_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(sgn_sgn_real,X)=one_one_real)& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(sgn_sgn_real,X)=hAPP_real_real(uminus_uminus_real,one_one_real)))).
% 214.54/213.28 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)))).
% 214.54/213.28 hAPP_real_real(cos,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_real.
% 214.54/213.28 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,pi)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(cos,Y)),hAPP_real_real(cos,X)))))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))->hAPP_real_real(sin,hAPP_real_real(arcsin,Y))=Y)).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),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))))).
% 214.54/213.28 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)).
% 214.54/213.28 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)).
% 214.54/213.28 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.
% 214.54/213.28 all X (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),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)).
% 214.54/213.28 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.
% 214.54/213.28 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)))).
% 214.54/213.28 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.
% 214.54/213.28 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)))).
% 214.54/213.28 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)))).
% 214.54/213.28 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.
% 214.54/213.28 all X (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),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)).
% 214.54/213.28 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)))).
% 214.54/213.28 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)))).
% 214.54/213.28 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)))).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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,zero_zero_real),hAPP_real_real(sin,X))))).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),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))),one_one_real)))).
% 214.54/213.28 all X 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),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))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(sin,Y)),hAPP_real_real(sin,X)))))).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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,zero_zero_real),hAPP_real_real(cos,X))))).
% 214.54/213.28 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.
% 214.54/213.28 all X (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))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(sin,X)),zero_zero_real)))).
% 214.54/213.28 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).
% 214.54/213.28 all 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))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(cos,X))))).
% 214.54/213.28 all 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))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(cos,X))))).
% 214.54/213.28 all 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(arcsin,hAPP_real_real(sin,X))=X)).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),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)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arcsin,Y)),pi))&hAPP_real_real(sin,hAPP_real_real(arcsin,Y))=Y)).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))-> (exists 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(sin,X_1)=Y& (all 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),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_1)=Y->Y_1=X_1)))))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))-> (exists 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(cos,X_1)=Y& (all 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),pi))&hAPP_real_real(cos,Y_1)=Y->Y_1=X_1)))))).
% 214.54/213.28 exists 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_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))&hAPP_real_real(cos,X_1)=zero_zero_real& (all 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),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))&hAPP_real_real(cos,Y_1)=zero_zero_real->Y_1=X_1))).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),one_one_real))->hAPP_real_real(sin,hAPP_real_real(arccos,X))=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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.28 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)))).
% 214.54/213.28 all 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(arccos,hAPP_real_real(cos,X))=X)).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Y)),one_one_real))->hAPP_real_real(cos,hAPP_real_real(arccos,Y))=Y).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(arccos,Y))))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))->hAPP_real_real(cos,hAPP_real_real(arccos,Y))=Y)).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arccos,Y)),pi)))).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),zero_zero_real))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(uminus_uminus_real,pi)),X))->hAPP_real_real(arccos,hAPP_real_real(cos,X))=hAPP_real_real(uminus_uminus_real,X))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(arccos,Y)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arccos,Y)),pi)))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(arccos,Y)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arccos,Y)),pi)))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,min)),Y))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(arccos,Y)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(arccos,Y)),pi))&hAPP_real_real(cos,hAPP_real_real(arccos,Y))=Y)).
% 214.54/213.28 all X_3 Y_3 (hAPP_real_real(cos,hAPP_real_real(arccos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_3),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_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,Y_3),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_3),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_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,Y_3),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Y)),one_one_real))->hAPP_real_real(sin,hAPP_real_real(arccos,Y))=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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.54/213.28 all X_3 Y_3 (hAPP_real_real(sin,hAPP_real_real(arccos,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X_3),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_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,Y_3),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_3),hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X_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,Y_3),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))))))).
% 214.54/213.28 all 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)=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))),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))),one_one_real)))).
% 214.54/213.28 all X (hAPP_real_real(cos,X)!=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))!=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))=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))),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.54/213.28 all N (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)))),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)).
% 214.54/213.28 all X M (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),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),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)))))))).
% 214.54/213.28 all N hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(real_nat,N))).
% 214.54/213.28 all X (hAPP_real_real(tan,hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(tan,X))).
% 214.54/213.28 all N (natceiling(hAPP_nat_real(real_nat,N))=N).
% 214.54/213.28 all Na Ma (hAPP_nat_real(real_nat,Na)=hAPP_nat_real(real_nat,Ma)<->Na=Ma).
% 214.54/213.28 hAPP_real_real(tan,zero_zero_real)=zero_zero_real.
% 214.54/213.28 all X (hAPP_real_real(abs_abs_real,hAPP_nat_real(real_nat,X))=hAPP_nat_real(real_nat,X)).
% 214.54/213.28 all N (natfloor(hAPP_nat_real(real_nat,N))=N).
% 214.54/213.28 all Y (hAPP_real_real(tan,hAPP_real_real(arctan,Y))=Y).
% 214.54/213.28 all N (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),pi))=zero_zero_real).
% 214.54/213.28 all X N (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),pi)))=hAPP_real_real(tan,X)).
% 214.54/213.28 real_nat=semiri132038758t_real.
% 214.54/213.28 real_nat=semiri132038758t_real.
% 214.54/213.28 hAPP_nat_real(real_nat,zero_zero_nat)=zero_zero_real.
% 214.54/213.28 all Na (hAPP_nat_real(real_nat,Na)=zero_zero_real<->Na=zero_zero_nat).
% 214.54/213.28 all N (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),zero_zero_real))).
% 214.54/213.28 all Na Ma (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,Na)),hAPP_nat_real(real_nat,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),Ma))).
% 214.54/213.28 all Na Ma (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,Na)),hAPP_nat_real(real_nat,Ma)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),Ma))).
% 214.54/213.28 all M N (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N))).
% 214.54/213.28 all M N (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N))).
% 214.54/213.28 hAPP_nat_real(real_nat,one_one_nat)=one_one_real.
% 214.54/213.28 all M N (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(real_nat,M)),N)=hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N))).
% 214.54/213.28 all M N (hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,M),N))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_nat_real(real_nat,M)),N)).
% 214.54/213.28 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,natceiling(X)))).
% 214.54/213.28 hAPP_real_real(tan,pi)=zero_zero_real.
% 214.54/213.28 all X (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),pi))=hAPP_real_real(tan,X)).
% 214.54/213.28 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,Na)),zero_zero_real))<->Na=zero_zero_nat).
% 214.54/213.28 all N hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N)))).
% 214.54/213.28 hAPP_nat_real(real_nat,hAPP_nat_nat(suc,zero_zero_nat))=one_one_real.
% 214.54/213.28 all N (hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N)),one_one_real)).
% 214.54/213.28 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_nat_real(real_nat,M)),hAPP_nat_real(real_nat,N))).
% 214.54/213.28 all N X 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),X))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,X)))).
% 214.54/213.28 all 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,hAPP_nat_real(real_nat,natfloor(X))),X))).
% 214.54/213.28 all X A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,X)),A_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),natfloor(A_3)))).
% 214.54/213.28 all N X (hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),X))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(exp_real,X)),N)).
% 214.54/213.28 all X A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_nat_real(real_nat,A_3)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(X)),A_3))).
% 214.54/213.28 all N X (X=hAPP_nat_real(real_nat,natfloor(X))->natfloor(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,natfloor(X)),N)).
% 214.54/213.28 all X (hAPP_real_real(tan,X)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,X)),hAPP_real_real(cos,X))).
% 214.54/213.28 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(real_nat,Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))).
% 214.54/213.28 all Na Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),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,Na)),one_one_real)),hAPP_nat_real(real_nat,Ma)))).
% 214.54/213.28 all Na Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),Ma))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,Na)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,Ma)),one_one_real)))).
% 214.54/213.28 all N (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),pi))=zero_zero_real).
% 214.54/213.28 all N (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,N)))=zero_zero_real).
% 214.54/213.28 all A_1 Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),natfloor(Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_1)),Xa)))).
% 214.54/213.28 all A_1 Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,natceiling(Xa)),A_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),hAPP_nat_real(real_nat,A_1))))).
% 214.54/213.28 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,natfloor(X))),one_one_real))).
% 214.54/213.28 all A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_3)),X))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_nat_real(real_nat,A_3)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,natfloor(X)),A_3)).
% 214.54/213.28 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),one_one_real)),hAPP_nat_real(real_nat,natfloor(X)))).
% 214.54/213.28 all A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,A_3)),X))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_nat_real(real_nat,A_3)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,natceiling(X)),A_3)).
% 214.54/213.28 all X N (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(number267125858f_real,N)),pi)))=hAPP_real_real(tan,X)).
% 214.54/213.28 all N 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))->hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),D_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(real_nat,D_3)))).
% 214.54/213.28 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(ln,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_real_real(ln,X))).
% 214.54/213.28 all N 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_nat_real(real_nat,N)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,natfloor(X)),N)))).
% 214.54/213.28 all N X 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)),hAPP_nat_real(real_nat,X))),hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),X))))).
% 214.54/213.28 all V_1 ((hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_real(real_nat,hAPP_int_nat(number_number_of_nat,V_1))=zero_zero_real)& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,V_1)))->hAPP_nat_real(real_nat,hAPP_int_nat(number_number_of_nat,V_1))=hAPP_int_real(number267125858f_real,V_1))).
% 214.54/213.28 all N X 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)),hAPP_nat_real(real_nat,X))),hAPP_nat_real(real_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,N),X)))),one_one_real)).
% 214.54/213.28 all A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_nat_real(real_nat,A_3)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natfloor(X)),A_3)).
% 214.54/213.28 all Z_1 N (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))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z_1),hAPP_nat_real(real_nat,N)))).
% 214.54/213.28 all B_2 N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(log(B_2),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),hAPP_real_real(log(B_2),X))).
% 214.54/213.28 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N)),one_one_real)))->natfloor(X)=N)).
% 214.54/213.28 all A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->natceiling(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_nat_real(real_nat,A_3)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,natceiling(X)),A_3)).
% 214.54/213.28 all N hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),N))).
% 214.54/213.28 all N 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,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),X)),one_one_real)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),one_one_real)),N)))).
% 214.54/213.28 all X 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)),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),D_3))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,hAPP_nat_nat(div_mod_nat(X),D_3))),hAPP_nat_real(real_nat,D_3)))).
% 214.54/213.28 all N (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),pi))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N)).
% 214.54/213.28 all N (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,pi),hAPP_nat_real(real_nat,N)))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,min)),N)).
% 214.54/213.28 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)))).
% 214.54/213.28 all Y X (hAPP_real_real(cos,X)!=zero_zero_real-> (hAPP_real_real(cos,Y)!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(tan,X)),hAPP_real_real(tan,Y))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(cos,Y))))).
% 214.54/213.28 all N (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),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))).
% 214.54/213.28 all Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Y))->natfloor(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),hAPP_nat_real(real_nat,Y)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,natfloor(X)),Y))).
% 214.54/213.28 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(real_nat,N)),one_one_real)))->natceiling(X)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat))).
% 214.54/213.28 all X (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),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)).
% 214.54/213.28 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.
% 214.54/213.28 all Y X (hAPP_real_real(cos,X)!=zero_zero_real-> (hAPP_real_real(cos,Y)!=zero_zero_real-> (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y))!=zero_zero_real->hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(tan,X)),hAPP_real_real(tan,Y))),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)),hAPP_real_real(tan,Y))))))).
% 214.54/213.28 all Y X (hAPP_real_real(cos,X)!=zero_zero_real-> (hAPP_real_real(cos,Y)!=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)),hAPP_real_real(tan,Y)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,X)),hAPP_real_real(cos,Y))))).
% 214.54/213.28 all N (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))),pi))=zero_zero_real).
% 214.54/213.28 all N (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))),pi))=one_one_real).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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,zero_zero_real),hAPP_real_real(tan,X))))).
% 214.54/213.28 all Xa Ya (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)))))),Ya))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),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)))))),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),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,Ya),Xa))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(tan,Ya)),hAPP_real_real(tan,Xa)))))))).
% 214.54/213.28 all X 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),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,hAPP_real_real(tan,Y)),hAPP_real_real(tan,X)))))).
% 214.54/213.28 all Y (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),hAPP_real_real(tan,Y))=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))).
% 214.54/213.28 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))))).
% 214.54/213.28 all X (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))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),zero_zero_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(tan,X)),zero_zero_real)))).
% 214.54/213.28 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)))))),hAPP_real_real(arctan,Y)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(arctan,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,hAPP_real_real(arctan,Y))=Y).
% 214.54/213.28 all 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(arctan,hAPP_real_real(tan,X))=X)).
% 214.54/213.28 all X M (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),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),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))))))).
% 214.54/213.28 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).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,X)),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))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))-> (exists 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_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)=Y))).
% 214.54/213.28 all Y exists 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)=Y).
% 214.54/213.28 all Y exists 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)=Y& (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)))))),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,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,Y_1)=Y->Y_1=X_1))).
% 214.54/213.28 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))-> (exists 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,Y),hAPP_real_real(tan,X_1)))))).
% 214.54/213.28 all R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_2))-> (exists N_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(minus_minus_nat,N_1),one_one_nat))),R_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),hAPP_nat_real(real_nat,N_1)))))).
% 214.54/213.28 all 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_e_q_real,zero_zero_real),X))-> (exists N_1 (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_1)),Y)),X))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))),Y))))))).
% 214.54/213.28 all R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_2))-> (exists N_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N_1)),R_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N_1))))))).
% 214.54/213.28 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (all Y_1 exists N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_1)),X))))).
% 214.54/213.28 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->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),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).
% 214.54/213.28 all Xa (hAPP_real_real(sin,Xa)=zero_zero_real<-> (exists N_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))&Xa=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_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)))))))| (exists N_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))&Xa=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_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))))))))).
% 214.54/213.28 all Xa (hAPP_real_real(cos,Xa)=zero_zero_real<-> (exists N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))&Xa=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_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)))))))| (exists N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))&Xa=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_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))))))))).
% 214.54/213.28 all Ma Na (-hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),Na)))<-> -(-hBOOL(hAPP_nat_bool(even_odd_even_nat,Ma))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,Na)))).
% 214.54/213.28 all Ma Na (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Ma),Na)))<-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,Ma))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,Na)))).
% 214.54/213.28 all Xa Ya (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Xa),Ya)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))&hBOOL(hAPP_nat_bool(even_odd_even_nat,Ya))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))& -hBOOL(hAPP_nat_bool(even_odd_even_nat,Ya))).
% 214.54/213.28 hBOOL(hAPP_nat_bool(even_odd_even_nat,zero_zero_nat)).
% 214.54/213.28 all Xa (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(suc,Xa)))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))).
% 214.54/213.28 -hBOOL(hAPP_nat_bool(even_odd_even_nat,one_one_nat)).
% 214.54/213.28 all Xa Ya (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Xa),Ya)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Ya))).
% 214.54/213.28 all N (hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,N))!=zero_zero_real).
% 214.54/213.28 all N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))).
% 214.54/213.28 all Xa Ya (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Xa),Ya)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Xa),Ya))|hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))&hBOOL(hAPP_nat_bool(even_odd_even_nat,Ya))| -hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))& -hBOOL(hAPP_nat_bool(even_odd_even_nat,Ya))).
% 214.54/213.28 all Xa (hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))<->hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,Xa)))).
% 214.54/213.28 all Xa (hBOOL(hAPP_int_bool(even_odd_even_int,hAPP_nat_int(semiri1621563631at_int,Xa)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))).
% 214.54/213.28 all N 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)))).
% 214.54/213.28 all N 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)))).
% 214.54/213.28 all Xa (hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))<-> (exists Y_1 (Xa=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))),Y_1)))).
% 214.54/213.28 all Xa (-hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))<-> (exists Y_1 (Xa=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_1))))).
% 214.54/213.28 all X (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,X)),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),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))).
% 214.54/213.28 all X (hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(suc,X)),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))).
% 214.54/213.28 all X (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->hAPP_nat_nat(div_mod_nat(X),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.54/213.28 all X (hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->hAPP_nat_nat(div_mod_nat(X),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=zero_zero_nat).
% 214.54/213.28 all Xa (-hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))<->hAPP_nat_nat(div_mod_nat(Xa),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=hAPP_nat_nat(suc,zero_zero_nat)).
% 214.54/213.28 all Xa (hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))<->hAPP_nat_nat(div_mod_nat(Xa),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))=zero_zero_nat).
% 214.54/213.28 all Xa Ya (hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,Xa),Ya)))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Ya))).
% 214.54/213.28 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),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))=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)),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)))).
% 214.54/213.28 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))<-> -hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),one_one_nat))))).
% 214.54/213.28 all X (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->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),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat)))))=X).
% 214.54/213.28 all X (hBOOL(hAPP_nat_bool(even_odd_even_nat,X))->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),hAPP_nat_nat(suc,hAPP_nat_nat(suc,zero_zero_nat))))=X).
% 214.54/213.28 all Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(even_odd_even_int,Xa))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_int_nat(nat,Xa))))).
% 214.54/213.28 all Xa (hBOOL(hAPP_nat_bool(even_odd_even_nat,Xa))<->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)))),Xa))).
% 214.57/213.28 all Na (hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))<->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)))),Na))).
% 214.57/213.28 all Na (hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))<-> (exists M_1 (Na=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)))).
% 214.57/213.28 all Na (hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))<->hBOOL(hAPP_nat_bool(even_odd_even_nat,hAPP_nat_nat(div_mod_nat(Na),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.57/213.28 all Na (-hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))<-> (exists M_1 (Na=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))))).
% 214.57/213.28 all N (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.57/213.29 all Na (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,Na)),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,Na),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,Na))))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,zero_zero_real),Na))=zero_zero_real).
% 214.57/213.29 all N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.57/213.29 all N (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)))))=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),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.57/213.29 all N (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)))))=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),one_one_nat)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.57/213.29 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))-> (hAPP_real_real(sin,X)=zero_zero_real-> (exists N_1 (hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))&X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_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))))))))).
% 214.57/213.29 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))-> (hAPP_real_real(cos,X)=zero_zero_real-> (exists N_1 (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N_1))&X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N_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))))))))).
% 214.57/213.29 all N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (exists X_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,N),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_1)),one_one_nat)))).
% 214.57/213.29 all X_1 ((hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_real(sin_coeff,X_1)=zero_zero_real)& (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_real(sin_coeff,X_1)=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_1),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_1))))).
% 214.57/213.29 all N (hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (exists X_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,N),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_1)))).
% 214.57/213.29 all X_1 ((hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_real(cos_coeff,X_1)=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_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,X_1))))& (-hBOOL(hAPP_nat_bool(even_odd_even_nat,X_1))->hAPP_nat_real(cos_coeff,X_1)=zero_zero_real)).
% 214.57/213.29 all M N ((hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))=one_one_nat)& (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)!=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)),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)),one_one_nat))))).
% 214.57/213.29 all N M ((M=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))=hAPP_nat_nat(fact_fact_nat,N))& (M!=zero_zero_nat->hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)),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))))).
% 214.57/213.29 all N (hAPP_nat_nat(fact_fact_nat,N)!=zero_zero_nat).
% 214.57/213.29 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->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)))).
% 214.57/213.29 hAPP_nat_nat(fact_fact_nat,one_one_nat)=one_one_nat.
% 214.57/213.29 hAPP_nat_nat(fact_fact_nat,zero_zero_nat)=hAPP_nat_nat(suc,zero_zero_nat).
% 214.57/213.29 hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,zero_zero_nat))=hAPP_nat_nat(suc,zero_zero_nat).
% 214.57/213.29 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(fact_fact_nat,N))).
% 214.57/213.29 all N 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))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(fact_fact_nat,M)),hAPP_nat_nat(fact_fact_nat,N))))).
% 214.57/213.29 all X (hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(suc,X))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,X)),hAPP_nat_nat(fact_fact_nat,X))).
% 214.57/213.29 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),M))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(fact_fact_nat,N)),hAPP_nat_nat(fact_fact_nat,M)))).
% 214.57/213.29 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(fact_fact_nat,N))).
% 214.57/213.29 all N 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))).
% 214.57/213.29 all N 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))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),hAPP_nat_nat(fact_fact_nat,N))))).
% 214.57/213.29 all N (hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),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),one_one_nat)),hAPP_nat_nat(fact_fact_nat,N))).
% 214.57/213.29 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(fact_fact_nat,N)),hAPP_nat_nat(fact_fact_nat,M))=zero_zero_nat).
% 214.57/213.29 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))))).
% 214.57/213.29 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_nat_nat(fact_fact_nat,N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,N),hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)))).
% 214.57/213.29 all N 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),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),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),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),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),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)))))).
% 214.57/213.29 all X (hAPP_real_real(cos,X)!=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)),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))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.57/213.29 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),zero_zero_real))-> (exists R_1 A_2 (X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_2))&Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_2))))).
% 214.57/213.29 all X Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))-> (exists R_1 A_2 (X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_2))&Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_2))))).
% 214.57/213.29 all X (hAPP_real_real(sqrt,hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X))).
% 214.57/213.29 hAPP_real_real(inverse_inverse_real,zero_zero_real)=zero_zero_real.
% 214.57/213.29 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))).
% 214.57/213.29 all X Y (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),hAPP_real_real(inverse_inverse_real,Y))).
% 214.57/213.29 all Y U_1 X1_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X1_1),Y)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),U_1)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),hAPP_real_real(inverse_inverse_real,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,U_1),hAPP_real_real(inverse_inverse_real,X1_1))))))).
% 214.57/213.29 all Y U_1 X1_1 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X1_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X1_1),Y)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),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)),Y)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,X1_1)),U_1)))))).
% 214.57/213.29 all X (X!=zero_zero_real->hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(inverse_inverse_real,X)),X)=one_one_real).
% 214.57/213.29 all N 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))))).
% 214.57/213.29 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))->hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(sqrt,X)),X)=hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X))).
% 214.57/213.29 all N 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))))).
% 214.57/213.29 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(ln,hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(ln,X))).
% 214.57/213.29 all X 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))->hAPP_real_real(log(A_3),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(log(A_3),X))))).
% 214.57/213.29 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,X))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=hAPP_real_real(inverse_inverse_real,X)).
% 214.57/213.29 all X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (exists N_1 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_1)))),X)))).
% 214.57/213.29 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real))->hBOOL(hAPP_real_bool(deriv_real(arccos,Xa),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,Xa),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))))).
% 214.57/213.29 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real))->hBOOL(hAPP_real_bool(deriv_real(arcsin,Xa),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,Xa),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))))))).
% 214.57/213.29 all Xa hBOOL(hAPP_real_bool(deriv_real(sin,Xa),hAPP_real_real(cos,Xa))).
% 214.57/213.29 all Xa hBOOL(hAPP_real_bool(deriv_real(cos,Xa),hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,Xa)))).
% 214.57/213.29 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->hBOOL(hAPP_real_bool(deriv_real(ln,Xa),hAPP_real_real(inverse_inverse_real,Xa)))).
% 214.57/213.29 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->hBOOL(hAPP_real_bool(deriv_real(ln,Xa),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),Xa)))).
% 214.57/213.29 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->hBOOL(hAPP_real_bool(deriv_real(sqrt,Xa),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,Xa))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.57/213.29 all Xa (hAPP_real_real(cos,Xa)!=zero_zero_real->hBOOL(hAPP_real_bool(deriv_real(tan,Xa),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,Xa)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.57/213.29 all Xa hBOOL(hAPP_real_bool(deriv_real(arctan,Xa),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,Xa),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.57/213.29 all D Xa (Xa!=zero_zero_real-> ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->D=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(inverse_inverse_real,hAPP_real_real(sqrt,Xa))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))-> ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))->D=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,Xa)))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->hBOOL(hAPP_real_bool(deriv_real(sqrt,Xa),D))))).
% 214.57/213.29 all Va K A_1 B_1 (A_1!=B_1-> ((all X_1 hBOOL(hAPP_real_bool(deriv_real(Va,X_1),K)))->hAPP_real_real(Va,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,A_1),B_1)),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(Va,A_1)),hAPP_real_real(Va,B_1))),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.57/213.29 all D_1 F Xa L (hBOOL(hAPP_real_bool(deriv_real(F,Xa),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_1))-> ((all Y_1 (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,Xa),Y_1))),D_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Y_1)),hAPP_real_real(F,Xa)))))->L=zero_zero_real))).
% 214.57/213.29 all D_1 F Xa L (hBOOL(hAPP_real_bool(deriv_real(F,Xa),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_1))-> ((all Y_1 (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,Xa),Y_1))),D_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,Xa)),hAPP_real_real(F,Y_1)))))->L=zero_zero_real))).
% 214.57/213.29 all D_1 F Xa L (hBOOL(hAPP_real_bool(deriv_real(F,Xa),L))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_1))-> ((all Y_1 (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,Xa),Y_1))),D_1))->hAPP_real_real(F,Xa)=hAPP_real_real(F,Y_1)))->L=zero_zero_real))).
% 214.57/213.29 all F Xa L (hBOOL(hAPP_real_bool(deriv_real(F,Xa),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,Xa)),hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Xa),H_1))))))))))).
% 214.57/213.29 all F Xa L (hBOOL(hAPP_real_bool(deriv_real(F,Xa),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,Xa),H_1))),hAPP_real_real(F,Xa)))))))))).
% 214.57/213.29 all F Xa L (hBOOL(hAPP_real_bool(deriv_real(F,Xa),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,Xa),H_1))),hAPP_real_real(F,Xa)))))))))).
% 214.57/213.29 all F Xa L (hBOOL(hAPP_real_bool(deriv_real(F,Xa),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,Xa)),hAPP_real_real(F,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),H_1))))))))))).
% 214.57/213.29 all F K A_1 B_1 (A_1!=B_1-> ((all X_1 hBOOL(hAPP_real_bool(deriv_real(F,X_1),K)))->hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B_1)),hAPP_real_real(F,A_1))),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_1))=K)).
% 214.57/213.29 all F K A_1 B_1 (A_1!=B_1-> ((all X_1 hBOOL(hAPP_real_bool(deriv_real(F,X_1),K)))->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B_1)),hAPP_real_real(F,A_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_1)),K))).
% 214.57/213.29 all D Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (Xa!=zero_zero_real-> ((hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->D=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,Na)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))))))-> ((hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))->D=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,Na)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),hAPP_nat_nat(suc,zero_zero_nat))))))))-> ((-hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))->D=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,Na)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),hAPP_nat_nat(suc,zero_zero_nat))))))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,Na),Xa),D))))))).
% 214.57/213.29 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,Na),Xa),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,Na))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))))))))).
% 214.57/213.29 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,Na),Xa),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,Na)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),hAPP_nat_nat(suc,zero_zero_nat))))))))).
% 214.57/213.29 all F F_1 A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))->hBOOL(hAPP_real_bool(deriv_real(F,X_1),hAPP_real_real(F_1,X_1)))))-> (exists Z (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),Z))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Z),B_1))&hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(F,B_1)),hAPP_real_real(F,A_1))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_1)),hAPP_real_real(F_1,Z)))))).
% 214.57/213.29 all N (hAPP_real_real(hAPP_n546711566l_real(root,N),zero_zero_real)=zero_zero_real).
% 214.57/213.29 all X (hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(suc,zero_zero_nat)),X)=X).
% 214.57/213.29 all Xa Ya Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)=hAPP_real_real(hAPP_n546711566l_real(root,Na),Ya)<->Xa=Ya)).
% 214.57/213.29 all X N 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))->hAPP_real_real(hAPP_n546711566l_real(root,M),hAPP_real_real(hAPP_n546711566l_real(root,N),X))=hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_real_real(hAPP_n546711566l_real(root,M),X)))).
% 214.57/213.29 all Y X N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))-> (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y),N)=X->hAPP_real_real(hAPP_n546711566l_real(root,N),X)=Y)).
% 214.57/213.29 all X N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),N)=X).
% 214.57/213.29 all X N (-hBOOL(hAPP_nat_bool(even_odd_even_nat,N))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N))=X).
% 214.57/213.29 all Xa Ya Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),hAPP_real_real(hAPP_n546711566l_real(root,Na),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya)))).
% 214.57/213.29 all X Y 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,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y))))).
% 214.57/213.29 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)=zero_zero_real<->Xa=zero_zero_real)).
% 214.57/213.29 all Xa Ya Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),hAPP_real_real(hAPP_n546711566l_real(root,Na),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya)))).
% 214.57/213.29 all X Y 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),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y))))).
% 214.57/213.29 all X Y N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y))).
% 214.57/213.29 all X N 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))->hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)),X)=hAPP_real_real(hAPP_n546711566l_real(root,M),hAPP_real_real(hAPP_n546711566l_real(root,N),X)))).
% 214.57/213.29 all X K_2 N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),K_2))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),K_2)).
% 214.57/213.29 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_real_real(hAPP_n546711566l_real(root,N),one_one_real)=one_one_real).
% 214.57/213.29 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)=one_one_real<->Xa=one_one_real)).
% 214.57/213.29 all X Y N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y))).
% 214.57/213.29 all X N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_real_real(uminus_uminus_real,X))=hAPP_real_real(uminus_uminus_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X))).
% 214.57/213.29 all X N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_real_real(abs_abs_real,X))=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X))).
% 214.57/213.29 all X N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X))).
% 214.57/213.29 all Ya Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,Na),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Ya)))).
% 214.57/213.29 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),zero_zero_real)))).
% 214.57/213.29 all X 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),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),X))))).
% 214.57/213.29 all Ya Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,Na),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ya)))).
% 214.57/213.29 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),zero_zero_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real)))).
% 214.57/213.29 all X 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))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N),X))))).
% 214.57/213.29 all Ya Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,Na),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),Ya)))).
% 214.57/213.29 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),one_one_real)))).
% 214.57/213.29 all X N_4 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),N_4))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N_4),X)),hAPP_real_real(hAPP_n546711566l_real(root,N),X)))))).
% 214.57/213.29 all Ya Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),hAPP_real_real(hAPP_n546711566l_real(root,Na),Ya)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Ya)))).
% 214.57/213.29 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),one_one_real))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real)))).
% 214.57/213.29 all X N_4 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),N_4))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N_4),X)),hAPP_real_real(hAPP_n546711566l_real(root,N),X)))))).
% 214.57/213.29 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(suc,N)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),hAPP_nat_nat(suc,N)))=X).
% 214.57/213.29 all X_3 N_5 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_5))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_n546711566l_real(root,N_5),X_3))))).
% 214.57/213.29 all Y X 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),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y)))))).
% 214.57/213.29 all Y X 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),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),hAPP_real_real(hAPP_n546711566l_real(root,N),Y))))).
% 214.57/213.29 all X N 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))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(hAPP_n546711566l_real(root,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)),X)=hAPP_real_real(hAPP_n546711566l_real(root,M),hAPP_real_real(hAPP_n546711566l_real(root,N),X))))).
% 214.57/213.29 all X 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),X))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N))=X)).
% 214.57/213.29 all X 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),X))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),N)=X)).
% 214.57/213.29 all X Y 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),Y))-> (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Y),N)=X->hAPP_real_real(hAPP_n546711566l_real(root,N),X)=Y))).
% 214.57/213.29 all X 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))->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),N)=X)).
% 214.57/213.29 all X N_4 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),N_4))-> (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),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_4),X))))))).
% 214.57/213.29 all X N_4 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),N_4))-> (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),one_one_real))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)),hAPP_real_real(hAPP_n546711566l_real(root,N_4),X))))))).
% 214.57/213.29 sqrt=hAPP_n546711566l_real(root,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))).
% 214.57/213.29 all X 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),X))->hAPP_real_real(hAPP_n546711566l_real(root,N),hAPP_real_real(inverse_inverse_real,X))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_n546711566l_real(root,N),X)))).
% 214.57/213.29 all Xa Na (-hBOOL(hAPP_nat_bool(even_odd_even_nat,Na))-> (Xa!=zero_zero_real->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(root,Na),Xa),hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,Na)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),hAPP_nat_nat(suc,zero_zero_nat))))))))).
% 214.57/213.29 all Xa Ya F ((all X_1 hBOOL(hAPP_real_bool(deriv_real(F,X_1),zero_zero_real)))->hAPP_real_real(F,Xa)=hAPP_real_real(F,Ya)).
% 214.57/213.29 all X exists N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,N_1))).
% 214.57/213.29 all A_1 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_1,P_5))))).
% 214.57/213.29 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))))).
% 214.57/213.29 all N M_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,N)),M_4))-> (exists M_1 (M_4=hAPP_nat_nat(suc,M_1)))).
% 214.57/213.29 all A_1 P_5 hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(wset(A_1),P_5))).
% 214.57/213.29 all A_1 hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(d22set,A_1))).
% 214.57/213.29 all A_1 P_5 X_1 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),setS(A_1,P_5)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_1))).
% 214.57/213.29 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)))).
% 214.57/213.29 all A_1 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_1,P_5)))).
% 214.57/213.29 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)))).
% 214.57/213.29 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))))).
% 214.57/213.29 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)))))).
% 214.57/213.29 all X Y (hAPP_complex_real(norm_norm_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=hAPP_real_real(sqrt,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.57/213.29 all P_1 (-hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> ((exists X1 hBOOL(hAPP_nat_bool(P_1,X1)))-> (exists N_1 (-hBOOL(hAPP_nat_bool(P_1,N_1))&hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_1))))))).
% 214.57/213.29 all A_1 B_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,A_1),B_1)=zero_zero_complex<->A_1=zero_zero_real&B_1=zero_zero_real).
% 214.57/213.29 zero_zero_complex=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),zero_zero_real).
% 214.57/213.29 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).
% 214.57/213.29 all A_1 B_1 Wa (hAPP_real_complex(hAPP_r265291036omplex(complex,A_1),B_1)=hAPP_int_complex(number528085621omplex,Wa)<->A_1=hAPP_int_real(number267125858f_real,Wa)&B_1=zero_zero_real).
% 214.57/213.29 all A_1 B_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,A_1),B_1)=one_one_complex<->A_1=one_one_real&B_1=zero_zero_real).
% 214.57/213.29 one_one_complex=hAPP_real_complex(hAPP_r265291036omplex(complex,one_one_real),zero_zero_real).
% 214.57/213.29 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))).
% 214.57/213.29 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))).
% 214.57/213.29 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))).
% 214.57/213.29 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)))).
% 214.57/213.29 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).
% 214.57/213.29 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)))))))).
% 214.57/213.29 all Real1 Real2 (complex_size(hAPP_real_complex(hAPP_r265291036omplex(complex,Real1),Real2))=zero_zero_nat).
% 214.57/213.29 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y)))=zero_zero_real).
% 214.57/213.29 all Y (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y),zero_zero_real))->hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y)))=zero_zero_real).
% 214.57/213.29 all X Y (hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X),Y)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X),hAPP_complex_complex(invers1449016382omplex,Y))).
% 214.57/213.29 all Y (Y!=zero_zero_real->hAPP_real_real(cos,arg(hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),Y)))=zero_zero_real).
% 214.57/213.29 all Real1 Real2 (hAPP_complex_nat(size_size_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,Real1),Real2))=zero_zero_nat).
% 214.57/213.29 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).
% 214.57/213.29 ii!=zero_zero_complex.
% 214.57/213.29 ii!=one_one_complex.
% 214.57/213.29 all W (ii!=hAPP_int_complex(number528085621omplex,W)).
% 214.57/213.29 all X (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),X))=hAPP_complex_complex(uminus473333897omplex,X)).
% 214.57/213.29 hAPP_complex_complex(invers1449016382omplex,ii)=hAPP_complex_complex(uminus473333897omplex,ii).
% 214.57/213.29 ii=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),one_one_real).
% 214.57/213.29 all Xa Ya (hAPP_real_complex(hAPP_r265291036omplex(complex,Xa),Ya)=ii<->Xa=zero_zero_real&Ya=one_one_real).
% 214.57/213.29 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)).
% 214.57/213.29 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)).
% 214.57/213.29 hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=hAPP_int_complex(number528085621omplex,min).
% 214.57/213.29 hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 214.57/213.29 all X Y (hAPP_complex_complex(invers1449016382omplex,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,of_real_complex(X)),hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),of_real_complex(Y))))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,of_real_complex(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),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),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))))).
% 214.57/213.29 all N (N!=zero_zero_nat-> (exists M_1 (N=hAPP_nat_nat(suc,M_1)))).
% 214.57/213.29 all Xa Ya Xaa (hAPP_real_complex(hAPP_r265291036omplex(complex,Xa),Ya)=of_real_complex(Xaa)<->Xa=Xaa&Ya=zero_zero_real).
% 214.57/213.29 all R_2 (of_real_complex(R_2)=hAPP_real_complex(hAPP_r265291036omplex(complex,R_2),zero_zero_real)).
% 214.57/213.29 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)))).
% 214.57/213.29 all R_2 X Y (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_2)),hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),X)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),Y))).
% 214.57/213.29 all X Y R_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y)),of_real_complex(R_2))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),R_2)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),R_2))).
% 214.57/213.29 all X Y R_2 (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y)),of_real_complex(R_2))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),R_2)),Y)).
% 214.57/213.29 all R_2 X Y (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,of_real_complex(R_2)),hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_2),X)),Y)).
% 214.57/213.29 hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),ii)=of_real_complex(hAPP_int_real(number267125858f_real,min)).
% 214.57/213.29 all R_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,ii),of_real_complex(R_2))=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),R_2)).
% 214.57/213.29 all R_2 (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_2)),ii)=hAPP_real_complex(hAPP_r265291036omplex(complex,zero_zero_real),R_2)).
% 214.57/213.29 of_real_complex(hAPP_real_real(uminus_uminus_real,one_one_real))=hAPP_complex_complex(uminus473333897omplex,one_one_complex).
% 214.57/213.29 all R_2 A_3 (hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_2)),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_2)).
% 214.57/213.29 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.
% 214.57/213.29 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))).
% 214.57/213.29 expi(zero_zero_complex)=one_one_complex.
% 214.57/213.29 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)))).
% 214.57/213.29 all Na P_1 (hBOOL(hAPP_nat_bool(P_1,zero_zero_nat))-> ((all N_1 (hBOOL(hAPP_nat_bool(P_1,N_1))->hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_1)))))->hBOOL(hAPP_nat_bool(P_1,Na)))).
% 214.57/213.29 all Y (Y!=zero_zero_nat-> -(all Nat_1 (Y!=hAPP_nat_nat(suc,Nat_1)))).
% 214.57/213.29 all P_1 K (hBOOL(hAPP_nat_bool(P_1,K))-> ((all N_1 (hBOOL(hAPP_nat_bool(P_1,hAPP_nat_nat(suc,N_1)))->hBOOL(hAPP_nat_bool(P_1,N_1))))->hBOOL(hAPP_nat_bool(P_1,zero_zero_nat)))).
% 214.57/213.29 all F A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))-> (exists Y_1 (hBOOL(hAPP_real_bool(deriv_real(F,X_1),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),zero_zero_real))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,B_1)),hAPP_real_real(F,A_1))))).
% 214.57/213.29 all F A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))-> (exists Y_1 (hBOOL(hAPP_real_bool(deriv_real(F,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_real,hAPP_real_real(F,A_1)),hAPP_real_real(F,B_1))))).
% 214.57/213.29 all I_1 P_1 K (hBOOL(hAPP_int_bool(P_1,K))-> ((all I_2 (is_int(I_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),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))-> (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))))).
% 214.57/213.29 all P_1 P1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_1 K_1 (is_int(X_1)&is_int(K_1)-> (hBOOL(hAPP_int_bool(P1,X_1))<->hBOOL(hAPP_int_bool(P1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D_1)))))))-> ((exists Z all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Z))-> (hBOOL(hAPP_int_bool(P_1,X_1))<->hBOOL(hAPP_int_bool(P1,X_1))))))-> ((exists X1 hBOOL(hAPP_int_bool(P1,X1)))-> (exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1)))))))).
% 214.57/213.29 all P_1 P_2 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_1 K_1 (is_int(X_1)&is_int(K_1)-> (hBOOL(hAPP_int_bool(P_2,X_1))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D_1)))))))-> ((exists Z all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X_1))-> (hBOOL(hAPP_int_bool(P_1,X_1))<->hBOOL(hAPP_int_bool(P_2,X_1))))))-> ((exists X1 hBOOL(hAPP_int_bool(P_2,X1)))-> (exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1)))))))).
% 214.57/213.29 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),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),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.57/213.29 all N 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)))).
% 214.57/213.29 all N 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_2),N)))).
% 214.57/213.29 all A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_1),B_1))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,B_1),A_1))).
% 214.57/213.29 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))))).
% 214.57/213.29 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))).
% 214.57/213.29 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))).
% 214.57/213.29 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))))).
% 214.57/213.29 all D_1 A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_1),B_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_1),A_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_1),B_1))).
% 214.57/213.29 all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,one_one_nat),A_3)).
% 214.57/213.29 all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),one_one_nat)).
% 214.57/213.29 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,Na),Na))<->Na=one_one_nat).
% 214.57/213.29 all N (archim1246769320r_real(hAPP_nat_real(real_nat,N))=hAPP_nat_int(semiri1621563631at_int,N)).
% 214.57/213.29 all X (natfloor(X)=hAPP_int_nat(nat,archim1246769320r_real(X))).
% 214.57/213.29 all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),hAPP_nat_nat(suc,zero_zero_nat))).
% 214.57/213.29 all A_3 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(suc,zero_zero_nat)),A_3)).
% 214.57/213.29 all D_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,D_1),zero_zero_nat))<->D_1=one_one_nat).
% 214.57/213.29 all D_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,zero_zero_nat),D_1))<->D_1=one_one_nat).
% 214.57/213.29 all N M R_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),R_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),R_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M),N)),R_2))))).
% 214.57/213.29 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)))).
% 214.57/213.29 all A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_1),B_1))<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),A_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),B_1))<->D_2=one_one_nat))).
% 214.57/213.29 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)),N)).
% 214.57/213.29 all A_1 Na B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,A_1),hAPP_nat_nat(suc,Na))),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_1),hAPP_nat_nat(suc,Na))))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_1),B_1))).
% 214.57/213.29 all N (N!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),one_one_nat)),N))).
% 214.57/213.29 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(real_nat,N)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N))))->hAPP_int_nat(nat,archim1246769320r_real(X))=N)).
% 214.57/213.29 all N (archim1246769320r_real(hAPP_real_real(uminus_uminus_real,hAPP_nat_real(real_nat,N)))=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,N))).
% 214.57/213.30 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)))))).
% 214.57/213.30 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(real_nat,N)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N))))->hAPP_int_nat(nat,archim1246769320r_real(X))=N)).
% 214.57/213.30 all A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_1),B_1))<-> (exists X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_1),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),Y_1))=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_1),X_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_1),Y_1))=one_one_nat))).
% 214.57/213.30 all A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_3),B_2))-> (B_2!=one_one_nat-> (exists X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_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,B_2),Y_1)),one_one_nat))))).
% 214.57/213.30 all V_1 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_1)),one_one_nat)=zero_zero_nat)& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,V_1),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,V_1)),one_one_nat)=hAPP_int_nat(number_number_of_nat,hAPP_int_int(pred,V_1)))).
% 214.57/213.30 all X (is_int(X)->hAPP_int_int(succ,hAPP_int_int(pred,X))=X).
% 214.57/213.30 all K_2 (hAPP_int_int(pred,hAPP_int_int(bit0,K_2))=hAPP_int_int(bit1,hAPP_int_int(pred,K_2))).
% 214.57/213.30 all K_2 (hAPP_int_int(pred,hAPP_int_int(bit1,K_2))=hAPP_int_int(bit0,K_2)).
% 214.57/213.30 all K L (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,K),L))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(pred,K)),L))).
% 214.57/213.30 hAPP_int_int(pred,pls)=min.
% 214.57/213.30 hAPP_int_int(pred,min)=hAPP_int_int(bit0,min).
% 214.57/213.30 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)).
% 214.57/213.30 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)))).
% 214.57/213.30 all K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),min)=hAPP_int_int(pred,K_2)).
% 214.57/213.30 all K_2 (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,min),K_2)=hAPP_int_int(pred,K_2)).
% 214.57/213.30 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))).
% 214.57/213.30 all Va (hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))<->hAPP_int_nat(number_number_of_nat,Va)=zero_zero_nat).
% 214.57/213.30 all M V_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),V_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_nat_nat(suc,M)),hAPP_int_nat(number_number_of_nat,V_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),hAPP_int_nat(number_number_of_nat,hAPP_int_int(pred,V_1)))).
% 214.57/213.30 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))).
% 214.57/213.30 all X_2 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hBOOL(hAPP_f448129468l_bool(resSet(Ma),X_2))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_2)))).
% 214.57/213.30 all Ma X_2 (hBOOL(hAPP_f448129468l_bool(resSet(Ma),X_2))<-> (all Y1 Y2 (is_int(Y1)&is_int(Y2)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y1),X_2))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y2),X_2))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(Y1),Y2),Ma))->Y1=Y2)))).
% 214.57/213.30 all P_5 hBOOL(hAPP_f448129468l_bool(resSet(P_5),hAPP_i1948725293t_bool(sRStar,P_5))).
% 214.57/213.30 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))).
% 214.57/213.30 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))).
% 214.57/213.30 code_c271388182l_size(zero_z126310315umeral)=zero_zero_nat.
% 214.57/213.30 all N (hAPP_nat_nat(size_size_nat,N)=N).
% 214.57/213.30 hAPP_nat_nat(size_size_nat,zero_zero_nat)=zero_zero_nat.
% 214.57/213.30 hAPP_nat_nat(nat_size,zero_zero_nat)=zero_zero_nat.
% 214.57/213.30 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))).
% 214.57/213.30 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))))).
% 214.57/213.30 all X (hAPP_complex_complex(cnj,of_real_complex(X))=of_real_complex(X)).
% 214.57/213.30 all X Y (hAPP_complex_complex(cnj,hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,X),Y))=hAPP_complex_complex(hAPP_c172932010omplex(invers1025623611omplex,hAPP_complex_complex(cnj,X)),hAPP_complex_complex(cnj,Y))).
% 214.57/213.30 all X N (hAPP_complex_complex(cnj,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,X),N))=hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,hAPP_complex_complex(cnj,X)),N)).
% 214.57/213.30 all X Y (hAPP_complex_complex(cnj,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),Y))=hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,hAPP_complex_complex(cnj,X)),hAPP_complex_complex(cnj,Y))).
% 214.57/213.30 all X (hAPP_complex_complex(cnj,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_complex_complex(uminus473333897omplex,hAPP_complex_complex(cnj,X))).
% 214.57/213.30 all Z_1 (hAPP_complex_complex(cnj,hAPP_complex_complex(cnj,Z_1))=Z_1).
% 214.57/213.30 all Xa Ya (hAPP_complex_complex(cnj,Xa)=hAPP_complex_complex(cnj,Ya)<->Xa=Ya).
% 214.57/213.30 all Code_numeral_5 Code_numeral_4 (code_S1047413653umeral(Code_numeral_5)=code_S1047413653umeral(Code_numeral_4)<->Code_numeral_5=Code_numeral_4).
% 214.57/213.30 all N (hAPP_complex_complex(cnj,hAPP_nat_complex(semiri2020571505omplex,N))=hAPP_nat_complex(semiri2020571505omplex,N)).
% 214.57/213.30 all Z_1 (hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,Z_1))=hAPP_complex_real(norm_norm_complex,Z_1)).
% 214.57/213.30 all X Y (hAPP_complex_complex(cnj,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),Y))=hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,hAPP_complex_complex(cnj,X)),hAPP_complex_complex(cnj,Y))).
% 214.57/213.30 all X (hAPP_complex_complex(cnj,hAPP_complex_complex(invers1449016382omplex,X))=hAPP_complex_complex(invers1449016382omplex,hAPP_complex_complex(cnj,X))).
% 214.57/213.30 hAPP_complex_complex(cnj,zero_zero_complex)=zero_zero_complex.
% 214.57/213.30 all Z_2 (hAPP_complex_complex(cnj,Z_2)=zero_zero_complex<->Z_2=zero_zero_complex).
% 214.57/213.30 all W (hAPP_complex_complex(cnj,hAPP_int_complex(number528085621omplex,W))=hAPP_int_complex(number528085621omplex,W)).
% 214.57/213.30 all X Y (hAPP_complex_complex(cnj,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X),Y))=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,hAPP_complex_complex(cnj,X)),hAPP_complex_complex(cnj,Y))).
% 214.57/213.30 hAPP_complex_complex(cnj,one_one_complex)=one_one_complex.
% 214.57/213.30 all Code_numeral_3 (code_S1047413653umeral(Code_numeral_3)!=zero_z126310315umeral).
% 214.57/213.30 all Code_numeral_2 (zero_z126310315umeral!=code_S1047413653umeral(Code_numeral_2)).
% 214.57/213.30 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))).
% 214.57/213.30 hAPP_complex_complex(cnj,ii)=hAPP_complex_complex(uminus473333897omplex,ii).
% 214.57/213.30 all N (hAPP_C498520661umeral(hAPP_C1594335432umeral(minus_1690775515umeral,code_S1047413653umeral(N)),one_on1645066479umeral)=N).
% 214.57/213.30 exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))))).
% 214.57/213.30 exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))))).
% 214.57/213.30 exists K_4 all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(cnj,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))).
% 214.57/213.30 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))).
% 214.57/213.30 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)).
% 214.57/213.30 all Y (Y!=zero_z126310315umeral-> -(all Code_numeral (Y!=code_S1047413653umeral(Code_numeral)))).
% 214.57/213.30 all X Y (hAPP_complex_real(im,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=Y).
% 214.57/213.30 all X (hAPP_complex_real(im,hAPP_complex_complex(cnj,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X))).
% 214.57/213.30 all Z_1 (hAPP_complex_real(im,of_real_complex(Z_1))=zero_zero_real).
% 214.57/213.30 hAPP_complex_real(im,ii)=one_one_real.
% 214.57/213.30 hAPP_complex_real(im,zero_zero_complex)=zero_zero_real.
% 214.57/213.30 hAPP_complex_real(im,one_one_complex)=zero_zero_real.
% 214.57/213.30 all X Y (hAPP_complex_real(im,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_complex_real(im,X)),hAPP_complex_real(im,Y))).
% 214.57/213.30 all V_1 (hAPP_complex_real(im,hAPP_int_complex(number528085621omplex,V_1))=zero_zero_real).
% 214.57/213.30 all X (hAPP_complex_real(im,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X))).
% 214.57/213.30 all X Y (hAPP_complex_real(im,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_complex_real(im,X)),hAPP_complex_real(im,Y))).
% 214.57/213.30 all N (hAPP_complex_real(im,hAPP_nat_complex(semiri2020571505omplex,N))=zero_zero_real).
% 214.57/213.30 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_complex_real(im,X))),hAPP_complex_real(norm_norm_complex,X))).
% 214.57/213.30 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).
% 214.57/213.30 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))).
% 214.57/213.30 hAPP_C2129356693al_nat(size_s945831648umeral,zero_z126310315umeral)=zero_zero_nat.
% 214.57/213.30 exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))))).
% 214.57/213.30 exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))))).
% 214.57/213.30 exists K_4 all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(im,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))).
% 214.57/213.30 all X (hAPP_complex_complex(invers1449016382omplex,X)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_complex_real(re,X)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,X)),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)),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))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,X)),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.57/213.30 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))))))).
% 214.57/213.30 all X (hAPP_complex_real(im,hAPP_complex_complex(invers1449016382omplex,X))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,X)),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.57/213.30 all Z_1 (hAPP_complex_real(re,of_real_complex(Z_1))=Z_1).
% 214.57/213.30 all X Y (hAPP_complex_real(re,hAPP_real_complex(hAPP_r265291036omplex(complex,X),Y))=X).
% 214.57/213.30 all X (hAPP_complex_real(re,hAPP_complex_complex(cnj,X))=hAPP_complex_real(re,X)).
% 214.57/213.30 all X Y (hAPP_complex_real(re,X)=hAPP_complex_real(re,Y)-> (hAPP_complex_real(im,X)=hAPP_complex_real(im,Y)->X=Y)).
% 214.57/213.30 all Xa Ya (Xa=Ya<->hAPP_complex_real(re,Xa)=hAPP_complex_real(re,Ya)&hAPP_complex_real(im,Xa)=hAPP_complex_real(im,Ya)).
% 214.57/213.30 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_complex_real(re,X)),hAPP_complex_real(norm_norm_complex,X))).
% 214.57/213.30 hAPP_complex_real(re,ii)=zero_zero_real.
% 214.57/213.30 all Z_1 (hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_complex_real(re,Z_1)),hAPP_complex_real(im,Z_1))=Z_1).
% 214.57/213.30 hAPP_complex_real(re,zero_zero_complex)=zero_zero_real.
% 214.57/213.30 all X Y (hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_complex_real(re,X)),hAPP_complex_real(re,Y))).
% 214.57/213.30 hAPP_complex_real(re,one_one_complex)=one_one_real.
% 214.57/213.30 all X (hAPP_complex_real(re,hAPP_complex_complex(uminus473333897omplex,X))=hAPP_real_real(uminus_uminus_real,hAPP_complex_real(re,X))).
% 214.57/213.30 all V_1 (hAPP_complex_real(re,hAPP_int_complex(number528085621omplex,V_1))=hAPP_int_real(number267125858f_real,V_1)).
% 214.57/213.30 all X Y (hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_complex_real(re,X)),hAPP_complex_real(re,Y))).
% 214.57/213.30 all N (hAPP_complex_real(re,hAPP_nat_complex(semiri2020571505omplex,N))=hAPP_nat_real(semiri132038758t_real,N)).
% 214.57/213.30 all X hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_complex_real(re,X))),hAPP_complex_real(norm_norm_complex,X))).
% 214.57/213.30 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))).
% 214.57/213.30 all X Y (hAPP_complex_real(im,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,X)),hAPP_complex_real(im,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(im,X)),hAPP_complex_real(re,Y)))).
% 214.57/213.30 all X Y (hAPP_complex_real(re,hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,X)),hAPP_complex_real(re,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(im,X)),hAPP_complex_real(im,Y)))).
% 214.57/213.30 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)))).
% 214.57/213.30 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))))).
% 214.57/213.30 all X Y (hAPP_complex_complex(hAPP_c172932010omplex(plus_plus_complex,X),Y)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_complex_real(re,X)),hAPP_complex_real(re,Y))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_complex_real(im,X)),hAPP_complex_real(im,Y)))).
% 214.57/213.30 all X (hAPP_complex_complex(uminus473333897omplex,X)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(uminus_uminus_real,hAPP_complex_real(re,X))),hAPP_real_real(uminus_uminus_real,hAPP_complex_real(im,X)))).
% 214.57/213.30 all X Y (hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,X),Y)=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)),hAPP_complex_real(re,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(im,X)),hAPP_complex_real(im,Y)))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(re,X)),hAPP_complex_real(im,Y))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(im,X)),hAPP_complex_real(re,Y))))).
% 214.57/213.30 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)))).
% 214.57/213.30 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))))))).
% 214.57/213.30 all X (hAPP_complex_real(re,hAPP_complex_complex(invers1449016382omplex,X))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_complex_real(re,X)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_complex_real(re,X)),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)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))).
% 214.57/213.30 exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),K_4))& (all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))))).
% 214.57/213.30 exists K_4 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),K_4))& (all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))))).
% 214.57/213.30 exists K_4 all X_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(norm_norm_real,hAPP_complex_real(re,X_1))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_complex_real(norm_norm_complex,X_1)),K_4))).
% 214.57/213.30 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)))).
% 214.57/213.30 all N A_3 (hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),A_3))=hAPP_complex_real(im,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_3)),N))).
% 214.57/213.30 all N A_3 (hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),A_3))=hAPP_complex_real(re,hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_3)),N))).
% 214.57/213.30 all A_3 (hAPP_complex_real(re,cis(A_3))=hAPP_real_real(cos,A_3)).
% 214.57/213.30 all A_3 (hAPP_complex_real(im,cis(A_3))=hAPP_real_real(sin,A_3)).
% 214.57/213.30 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))).
% 214.57/213.30 cis(zero_zero_real)=one_one_complex.
% 214.57/213.30 all A_3 (hAPP_complex_complex(invers1449016382omplex,cis(A_3))=cis(hAPP_real_real(uminus_uminus_real,A_3))).
% 214.57/213.30 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))).
% 214.57/213.30 all A_3 (cis(A_3)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(cos,A_3)),hAPP_real_real(sin,A_3))).
% 214.57/213.30 all A_3 N (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,cis(A_3)),N)=cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),A_3))).
% 214.57/213.30 all N A_3 (cis(hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,N))),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)),A_3)))).
% 214.57/213.30 all X (bezw(X,zero_zero_nat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),zero_zero_int)).
% 214.57/213.30 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_1)))).
% 214.57/213.30 all Y X Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_1)))).
% 214.57/213.30 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_1)))).
% 214.57/213.30 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),Y))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Y))).
% 214.57/213.30 all Y X Z_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Y),Z_1)))).
% 214.57/213.30 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)))).
% 214.57/213.30 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)))))).
% 214.57/213.30 all Q_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(prime,Q_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),Q_1))->P_3=Q_1))).
% 214.57/213.30 -hBOOL(hAPP_nat_bool(prime,one_one_nat)).
% 214.57/213.30 -hBOOL(hAPP_nat_bool(prime,zero_zero_nat)).
% 214.57/213.30 all Q_1 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(prime,Q_1))-> (P_3!=Q_1->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),Q_1))))).
% 214.57/213.30 -hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(suc,zero_zero_nat))).
% 214.57/213.30 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))).
% 214.57/213.30 all A_1 B_1 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_1),B_1)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_5),A_1))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_5),B_1)))).
% 214.57/213.30 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)))).
% 214.57/213.30 all M N 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)))->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)))).
% 214.57/213.30 all P_3 Q_1 (hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,P_3),Q_1)))->P_3=one_one_nat|Q_1=one_one_nat).
% 214.57/213.30 all A_3 N 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)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),A_3)))).
% 214.57/213.30 all X N 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),N)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),N)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N))))).
% 214.57/213.30 all X N 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),N)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),X)))).
% 214.57/213.30 all P_5 Na (hBOOL(hAPP_nat_bool(prime,hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_5),Na)))<->hBOOL(hAPP_nat_bool(prime,P_5))&Na=one_one_nat).
% 214.57/213.30 all A_3 (hBOOL(hAPP_nat_bool(prime,A_3))->hBOOL(hAPP_int_bool(zprime,hAPP_nat_int(semiri1621563631at_int,A_3)))).
% 214.57/213.30 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)))).
% 214.57/213.30 all N P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),N))).
% 214.57/213.30 all A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,A_1),B_1))<-> (all P_4 (-(hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),A_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),B_1)))))).
% 214.57/213.30 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))).
% 214.57/213.30 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)))).
% 214.57/213.30 all M N P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (N!=zero_zero_nat-> (N=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))))).
% 214.57/213.30 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))).
% 214.57/213.30 all D_1 K P_5 (hBOOL(hAPP_nat_bool(prime,P_5))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_5),K)))<-> (exists I_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,I_2),K))&D_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_5),I_2))))).
% 214.57/213.30 all N 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)),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)),A_3))))).
% 214.57/213.30 all X P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),X))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X),P_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X),P_3))))).
% 214.57/213.30 all N P_3 (hBOOL(hAPP_nat_bool(prime,P_3))->N=one_one_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),N))|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,P_3),N))).
% 214.57/213.30 all Q_1 R_2 (hAPP_P1975530577nt_int(negateSnd,hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),R_2))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_1),hAPP_int_int(uminus_uminus_int,R_2))).
% 214.57/213.30 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)))).
% 214.57/213.30 hBOOL(hAPP_nat_bool(prime,hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.57/213.30 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))))).
% 214.57/213.30 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)))).
% 214.57/213.30 all N 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)),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)),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)),B_2))))).
% 214.57/213.30 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))).
% 214.57/213.30 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))).
% 214.57/213.30 all P_3 Q_1 (divmod_int(P_3,Q_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,P_3),Q_1)),hAPP_int_int(div_mod_int(P_3),Q_1))).
% 214.57/213.30 all N M (code_d418564891umeral(N,M)=hAPP_C2132160860umeral(hAPP_C1614127039umeral(produc2136830103umeral,hAPP_C498520661umeral(hAPP_C1594335432umeral(div_di1218280263umeral,N),M)),hAPP_C498520661umeral(div_mo1740067990umeral(N),M))).
% 214.57/213.30 all M R_2 S_1 T_1 N (is_int(R_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))-> (xzgcd(M,N)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,R_2),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_1),T_1))->R_2=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))))).
% 214.57/213.30 all M N R_4 S_3 S_1 T_2 T_1 R_2 ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,R_2),zero_zero_int))->xzgcda(M,N,R_4,R_2,S_3,S_1,T_2,T_1)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,R_4),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_2),zero_zero_int))->xzgcda(M,N,R_4,R_2,S_3,S_1,T_2,T_1)=xzgcda(M,N,R_2,hAPP_int_int(div_mod_int(R_4),R_2),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_4),R_2)),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_4),R_2)),T_1))))).
% 214.57/213.30 all M N (xzgcd(M,N)=xzgcda(M,N,M,N,one_one_int,zero_zero_int,zero_zero_int,one_one_int)).
% 214.57/213.30 all M N R_4 S_3 S_1 T_2 T_1 Rn Sn_1 Tn_1 R_2 (is_int(Rn)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_2))-> (xzgcda(M,N,R_4,R_2,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_4=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))-> (R_2=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))->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))))))).
% 214.57/213.30 all X Y (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(coprime,X),Y))-> (exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),X))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_4),Y))))).
% 214.57/213.30 all X K_2 N P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (N!=zero_zero_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,X),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),K_2)-> (exists I_2 (X=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),I_2)))))).
% 214.57/213.30 all N (N!=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))))).
% 214.57/213.30 all M 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,N),M))->divmod_nat(M,N)=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)),N))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,M),N)),N)))).
% 214.57/213.30 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_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_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,P_3),Y_1)),one_one_nat))))).
% 214.57/213.30 all N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,zero_zero_nat)),N))& -hBOOL(hAPP_nat_bool(prime,N))-> (exists M_1 K_1 (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_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,K_1),N))&N=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,M_1),K_1)))).
% 214.57/213.30 all M (divmod_nat(M,zero_zero_nat)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M)).
% 214.57/213.30 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M),N))->divmod_nat(M,N)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),M)).
% 214.57/213.30 all M N (divmod_nat(M,N)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)),hAPP_nat_nat(div_mod_nat(M),N))).
% 214.57/213.30 all C_1 A_3 B_2 Q_1 R_2 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(A_3,B_2),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_2)))-> (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_1),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_1),C_1))),R_2))))))).
% 214.57/213.30 all A_3 B_2 C_1 Q_1 R_2 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(B_2,C_1),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_2)))-> (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_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),R_2)),C_1))),hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_3),R_2)),C_1)))))).
% 214.57/213.30 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))))))).
% 214.57/213.30 all Qr_2 M N Qr_1 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr_1))-> (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr_2))->Qr_1=Qr_2)).
% 214.57/213.30 all M N hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),divmod_nat(M,N))).
% 214.57/213.30 all M N Qr_1 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),Qr_1))->divmod_nat(M,N)=Qr_1).
% 214.57/213.30 all M N Q_1 R_2 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_2)))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)=Q_1).
% 214.57/213.30 all M N Q_1 R_2 (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_1),R_2)))->hAPP_nat_nat(div_mod_nat(M),N)=R_2).
% 214.57/213.30 all M N hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)),hAPP_nat_nat(div_mod_nat(M),N)))).
% 214.57/213.30 all M N (-(all Q_4 R_1 (-hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(M,N),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Q_4),R_1)))))).
% 214.57/213.30 all N exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),P_4))).
% 214.57/213.30 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)))))).
% 214.57/213.30 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))).
% 214.57/213.30 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)))).
% 214.57/213.30 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)))).
% 214.57/213.30 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)))).
% 214.57/213.30 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)))))).
% 214.57/213.30 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)))))).
% 214.57/213.30 all X Y ((Y=zero_zero_nat->bezw(X,Y)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),zero_zero_int))& (Y!=zero_zero_nat->bezw(X,Y)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(Y,hAPP_nat_nat(div_mod_nat(X),Y)))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_P1175774780nt_int(product_fst_int_int,bezw(Y,hAPP_nat_nat(div_mod_nat(X),Y)))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(Y,hAPP_nat_nat(div_mod_nat(X),Y)))),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X),Y))))))).
% 214.57/213.30 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Y))->bezw(X,Y)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(Y,hAPP_nat_nat(div_mod_nat(X),Y)))),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,hAPP_P1175774780nt_int(product_fst_int_int,bezw(Y,hAPP_nat_nat(div_mod_nat(X),Y)))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(Y,hAPP_nat_nat(div_mod_nat(X),Y)))),hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,X),Y)))))).
% 214.57/213.30 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)))))).
% 214.57/213.30 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))).
% 214.57/213.30 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)))).
% 214.57/213.30 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)))).
% 214.57/213.30 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)))).
% 214.57/213.30 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)))))).
% 214.57/213.30 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)))))).
% 214.57/213.30 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,M),N)=hAPP_P1654798560at_nat(product_fst_nat_nat,divmod_nat(M,N))).
% 214.57/213.30 all M N (hAPP_nat_nat(div_mod_nat(M),N)=hAPP_P1654798560at_nat(product_snd_nat_nat,divmod_nat(M,N))).
% 214.57/213.30 all Ma Na Qr (hBOOL(hAPP_P1555980039t_bool(divmod_nat_rel(Ma,Na),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)),Na)),hAPP_P1654798560at_nat(product_snd_nat_nat,Qr))& (Na=zero_zero_nat->hAPP_P1654798560at_nat(product_fst_nat_nat,Qr)=zero_zero_nat)& (Na!=zero_zero_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))->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)),Na)))& (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),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))))).
% 214.57/213.30 all P_1 Na A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))->hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),Na))),hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),Na)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,B_1),A_1)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Na))).
% 214.57/213.30 all P_1 A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> (all N_1 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_1,B_1),N_1))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),N_1)))))).
% 214.57/213.30 all P_1 A_1 B_1 (hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),zero_zero_nat)=hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_1)).
% 214.57/213.30 all P_1 A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> (all N_1 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_1,B_1),N_1))),hAPP_P731461727l_real(produc1935615926l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),hAPP_nat_nat(suc,N_1))))))).
% 214.57/213.30 all P_1 A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> (all N_1 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_1,B_1),hAPP_nat_nat(suc,N_1)))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),N_1)))))).
% 214.57/213.30 all Na A_1 B_1 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_1),B_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> -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_1,B_1),Na))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),Na)))))))).
% 214.57/213.30 all A_1 B_1 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_1),B_1)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> (all N_1 (-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_1,B_1),N_1))),hAPP_P731461727l_real(produc556554744l_real,hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),N_1)))))))))).
% 214.57/213.30 one_on1684967323de_int=hAPP_i1732201573de_int(number1226105091de_int,hAPP_int_int(bit1,pls)).
% 214.57/213.30 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)))).
% 214.57/213.30 all R_2 A_3 N (hAPP_nat_complex(hAPP_c1088319240omplex(power_power_complex,rcis(R_2,A_3)),N)=rcis(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,R_2),N),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,N)),A_3))).
% 214.57/213.30 all Na Ma (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le258702272de_int,Na),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,quickcheck_int_of(Na)),quickcheck_int_of(Ma)))).
% 214.57/213.30 all K_2 (quickcheck_int_of(hAPP_i1732201573de_int(number1226105091de_int,K_2))=hAPP_int_int(number_number_of_int,K_2)).
% 214.57/213.30 all Na Ma (hBOOL(hAPP_Q2096512830t_bool(hAPP_Q1010094925t_bool(ord_le1860547276de_int,Na),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,quickcheck_int_of(Na)),quickcheck_int_of(Ma)))).
% 214.57/213.30 all K L (quickcheck_int_of(K)=quickcheck_int_of(L)<->K=L).
% 214.57/213.30 all Xa Ya (quickcheck_int_of(Xa)=quickcheck_int_of(Ya)<->Xa=Ya).
% 214.57/213.30 zero_z891286103de_int=hAPP_i1732201573de_int(number1226105091de_int,pls).
% 214.57/213.30 all R_2 (rcis(R_2,zero_zero_real)=of_real_complex(R_2)).
% 214.57/213.30 all R_2 A_3 (hAPP_complex_real(norm_norm_complex,rcis(R_2,A_3))=hAPP_real_real(abs_abs_real,R_2)).
% 214.57/213.30 all A_3 (cis(A_3)=rcis(one_one_real,A_3)).
% 214.57/213.30 all A_3 (rcis(zero_zero_real,A_3)=zero_zero_complex).
% 214.57/213.30 all R_2 A_3 (hAPP_complex_real(re,rcis(R_2,A_3))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),hAPP_real_real(cos,A_3))).
% 214.57/213.30 all R_2 A_3 (hAPP_complex_real(im,rcis(R_2,A_3))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),hAPP_real_real(sin,A_3))).
% 214.57/213.30 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))).
% 214.57/213.30 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))).
% 214.57/213.30 all R_2 A_3 (rcis(R_2,A_3)=hAPP_complex_complex(hAPP_c172932010omplex(times_times_complex,of_real_complex(R_2)),cis(A_3))).
% 214.57/213.30 all R_2 A_3 (hAPP_complex_complex(invers1449016382omplex,rcis(R_2,A_3))=rcis(hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,one_one_real),R_2),hAPP_real_real(uminus_uminus_real,A_3))).
% 214.57/213.30 all N M (quickc495462417de_int(N,M)=hAPP_Q1256397320de_int(hAPP_Q952608535de_int(produc1318306967de_int,hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,N),M)),hAPP_Q1762011733de_int(div_mo231679042de_int(N),M))).
% 214.57/213.30 all I (quickcheck_nat_of(I)=hAPP_int_nat(nat,quickcheck_int_of(I))).
% 214.57/213.30 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)))).
% 214.57/213.30 all X ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hAPP_int_int(fact_fact_int,X)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(fact_fact_nat,hAPP_int_nat(nat,X))))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hAPP_int_int(fact_fact_int,X)=zero_zero_int)).
% 214.57/213.30 all M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),N))->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)))).
% 214.57/213.30 hAPP_int_int(fact_fact_int,one_one_int)=one_one_int.
% 214.57/213.30 hAPP_int_int(fact_fact_int,zero_zero_int)=one_one_int.
% 214.57/213.30 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).
% 214.57/213.30 all N 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))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(fact_fact_int,M)),hAPP_int_int(fact_fact_int,N))))).
% 214.57/213.30 all M hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,M))).
% 214.57/213.30 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)!=zero_zero_int).
% 214.57/213.30 all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,X)))).
% 214.57/213.30 all X (hAPP_int_int(fact_fact_int,hAPP_nat_int(semiri1621563631at_int,X))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(fact_fact_nat,X))).
% 214.57/213.30 all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,one_one_int),hAPP_int_int(fact_fact_int,N)))).
% 214.57/213.30 all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(fact_fact_int,N)))).
% 214.57/213.30 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))))).
% 214.57/213.30 all N 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))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),hAPP_int_int(fact_fact_int,N))))).
% 214.57/213.30 all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hAPP_nat_nat(fact_fact_nat,hAPP_int_nat(nat,X))=hAPP_int_nat(nat,hAPP_int_int(fact_fact_int,X))).
% 214.57/213.30 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)))))).
% 214.57/213.30 all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),N))->hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N),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),one_one_int)),hAPP_int_int(fact_fact_int,N))).
% 214.57/213.30 all N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))->hAPP_int_int(fact_fact_int,N)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,N),hAPP_int_int(fact_fact_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N),one_one_int)))).
% 214.57/213.30 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)).
% 214.57/213.30 all A_1 P_5 (hBOOL(hAPP_int_bool(zprime,P_5))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),P_5))->hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(bnorRset(A_1),P_5))=hAPP_int_nat(nat,A_1))).
% 214.57/213.30 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_1 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_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),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)))))).
% 214.57/213.30 all B_1 A_1 Ma (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(bnorRset(A_1),Ma)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_1))).
% 214.57/213.30 all Ma A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1))-> -hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(bnorRset(A_1),Ma)))).
% 214.57/213.30 all A_1 Ma hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(bnorRset(A_1),Ma))).
% 214.57/213.30 all B_1 A_1 Ma (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(bnorRset(A_1),Ma)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))).
% 214.57/213.30 all A_1 B_1 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_1 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_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),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_1),B_1))->hBOOL(hAPP_P1333854989l_bool(P_1,hAPP_r1195171167l_real(hAPP_r2019696015l_real(produc865579683l_real,A_1),B_1)))))).
% 214.57/213.30 all X Y (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,Y))),hAPP_nat_int(semiri1621563631at_int,X))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_snd_int_int,bezw(X,Y))),hAPP_nat_int(semiri1621563631at_int,Y)))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y))).
% 214.57/213.30 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)),M)).
% 214.57/213.30 all M N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)),N)).
% 214.57/213.30 all M N 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,K_2),N))).
% 214.57/213.30 all N 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_2),M))=one_one_nat).
% 214.57/213.30 all K_2 M N (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))=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))).
% 214.57/213.30 all X Y 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),Y)),Z_1)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y),Z_1))).
% 214.57/213.30 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))).
% 214.57/213.31 all X Y Z_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y),Z_1))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Z_1))).
% 214.57/213.31 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))).
% 214.57/213.31 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)).
% 214.57/213.31 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)).
% 214.57/213.31 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y),X)).
% 214.57/213.31 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)).
% 214.57/213.31 all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),X)=X).
% 214.57/213.31 all A_3 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),A_3)=A_3).
% 214.57/213.31 all X Y hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)),X)).
% 214.57/213.31 all X Y hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)),Y)).
% 214.57/213.31 all Xa Ya (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Xa),Ya)=Xa).
% 214.57/213.31 all K Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ma),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),Ma))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),Na))).
% 214.57/213.31 all Xa Ya Z_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ya),Z_2)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Ya))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Xa),Z_2))).
% 214.57/213.31 all B_1 D_1 A_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),A_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_1),B_1))& (all E (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),A_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),B_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,E),D_1))))<->D_1=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_1),B_1)).
% 214.57/213.31 all B_2 A_3 X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),X))->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))).
% 214.57/213.31 all A_3 B_2 X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),X))->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))).
% 214.57/213.31 all X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=X).
% 214.57/213.31 all Y X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,Y),X))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=Y).
% 214.57/213.31 all N 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))->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))))).
% 214.57/213.31 all B_2 X A_3 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_2))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))))).
% 214.57/213.31 all Z_1 X Y (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Y))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),Z_1))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y),Z_1))))).
% 214.57/213.31 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))))).
% 214.57/213.31 all K_2 M N (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)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M))).
% 214.57/213.31 all K_2 M N (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)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),N))).
% 214.57/213.31 all X A_3 B_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),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),A_3))-> -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_2)))).
% 214.57/213.31 all B_2 A_3 X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,A_3),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),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))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)))).
% 214.57/213.31 all A_3 B_2 X (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,B_2),X))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),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))& -hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2)))).
% 214.57/213.31 all M N (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))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)).
% 214.57/213.31 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,M),N)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)).
% 214.57/213.31 all A_3 N 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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,B_2),N))=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)).
% 214.57/213.31 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y),hAPP_nat_nat(div_mod_nat(X),Y))).
% 214.57/213.31 all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),one_one_nat)=one_one_nat).
% 214.57/213.31 all M (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),one_one_nat)=one_one_nat).
% 214.57/213.31 all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,one_one_nat),X)=one_one_nat).
% 214.57/213.31 all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,zero_zero_nat),X)=X).
% 214.57/213.31 all X (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),zero_zero_nat)=X).
% 214.57/213.31 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Ma),Na)=zero_zero_nat<->Ma=zero_zero_nat&Na=zero_zero_nat).
% 214.57/213.31 all Xa Ya (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Xa),Ya)=zero_zero_nat<->Xa=zero_zero_nat&Ya=zero_zero_nat).
% 214.57/213.31 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)).
% 214.57/213.31 all Ma Na (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),Na)))<->Ma!=zero_zero_nat|Na!=zero_zero_nat).
% 214.57/213.31 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))).
% 214.57/213.31 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))).
% 214.57/213.31 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(suc,N)),N)=one_one_nat).
% 214.57/213.31 all M K_2 N (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))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)).
% 214.57/213.31 all X 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),A_3))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,X),B_2))->X=one_one_nat))).
% 214.57/213.31 all A_1 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_1),B_1)=one_one_nat<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),A_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),B_1))<->D_2=one_one_nat))).
% 214.57/213.31 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)),N)=one_one_nat).
% 214.57/213.31 all D_1 A_1 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_1),B_1))=one_one_nat<->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_1),A_1)=one_one_nat&hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,D_1),B_1)=one_one_nat).
% 214.57/213.31 all M K_2 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_2),N)=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)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)).
% 214.57/213.31 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)).
% 214.57/213.31 all B_1 C A_1 D_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_1),D_1)=one_one_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,B_1),C)=one_one_nat-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_1),C)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,B_1),D_1)<->A_1=B_1&C=D_1))).
% 214.57/213.31 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).
% 214.57/213.31 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).
% 214.57/213.31 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,N),M)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)).
% 214.57/213.31 all N M (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N),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)),N)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)).
% 214.57/213.31 all X Y ((Y=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=X)& (Y!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y),hAPP_nat_nat(div_mod_nat(X),Y)))).
% 214.57/213.31 all X Y (Y!=zero_zero_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,Y),hAPP_nat_nat(div_mod_nat(X),Y))).
% 214.57/213.31 all N 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))=one_one_nat).
% 214.57/213.31 all N (archim856651990g_real(hAPP_nat_real(real_nat,N))=hAPP_nat_int(semiri1621563631at_int,N)).
% 214.57/213.31 all X (natceiling(X)=hAPP_int_nat(nat,archim856651990g_real(X))).
% 214.57/213.31 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))).
% 214.57/213.31 all N (N!=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),one_one_nat)),N)=one_one_nat).
% 214.57/213.31 all N M R_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,M),R_2))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,N),R_2))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M),N)=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)),R_2))))).
% 214.57/213.31 all Ma K Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K),Na)=one_one_nat-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Ma),Na)))<->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K),Ma)))).
% 214.57/213.31 all M K_2 N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,K_2),N)=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)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,K_2),M)))).
% 214.57/213.31 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).
% 214.57/213.31 all X Y M (hAPP_nat_nat(div_mod_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)),M)=one_one_nat->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),M)=one_one_nat).
% 214.57/213.31 all A_1 B_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_1),B_1)=one_one_nat<-> (all D_2 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),A_1))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,D_2),B_1))<->D_2=hAPP_nat_nat(suc,zero_zero_nat)))).
% 214.57/213.31 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))).
% 214.57/213.31 all B_2 A_3 (A_3!=zero_zero_nat-> (exists X_1 Y_1 (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,A_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,B_2),Y_1)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,A_3),B_2))))).
% 214.57/213.31 all X_2 (hBOOL(cauchy_real(X_2))<-> (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_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_3),N_1))->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_2,M_1)),hAPP_nat_real(X_2,N_1)))),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(suc,J_1)))))))))).
% 214.57/213.31 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)))->archim856651990g_real(X)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N),one_one_int))).
% 214.57/213.31 all A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X))-> (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)),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),A_3))))).
% 214.57/213.31 all V_1 (hAPP_int_real(real_int,hAPP_int_int(number_number_of_int,V_1))=hAPP_int_real(number267125858f_real,V_1)).
% 214.57/213.31 all Xa (is_int(Xa)-> (hAPP_int_real(real_int,Xa)=zero_zero_real<->Xa=zero_zero_int)).
% 214.57/213.31 hAPP_int_real(real_int,zero_zero_int)=zero_zero_real.
% 214.57/213.31 all X A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)!=zero_zero_real).
% 214.57/213.31 all A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,one_one_real),A_3)=one_one_real).
% 214.57/213.31 all Xa (hAPP_int_real(real_int,archim1246769320r_real(Xa))=Xa<-> (exists N_1 (is_int(N_1)&Xa=hAPP_int_real(real_int,N_1)))).
% 214.57/213.31 all N (is_int(N)->archim1246769320r_real(hAPP_int_real(real_int,N))=N).
% 214.57/213.31 all Xa Ya (is_int(Xa)&is_int(Ya)-> (hAPP_int_real(real_int,Xa)=hAPP_int_real(real_int,Ya)<->Xa=Ya)).
% 214.57/213.31 all X A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),B_2)=hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_2)),A_3)).
% 214.57/213.31 all X A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),B_2)=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),B_2))).
% 214.57/213.31 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Xa)),hAPP_int_real(real_int,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Xa),Ya))).
% 214.57/213.31 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Xa)),hAPP_int_real(real_int,Ya)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),Ya))).
% 214.57/213.31 hAPP_int_real(real_int,one_one_int)=one_one_real.
% 214.57/213.31 all X Y (hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y))).
% 214.57/213.31 all X Y (hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y))).
% 214.57/213.31 all X N (hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(real_int,X)),N)).
% 214.57/213.31 all X N (hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_int_real(real_int,X)),N)=hAPP_int_real(real_int,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N))).
% 214.57/213.31 all N (hAPP_int_real(real_int,hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_real(real_nat,N)).
% 214.57/213.31 all X Y (hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,X)),hAPP_int_real(real_int,Y))).
% 214.57/213.31 all Xa (hAPP_int_real(real_int,archim856651990g_real(Xa))=Xa<-> (exists N_1 (is_int(N_1)&Xa=hAPP_int_real(real_int,N_1)))).
% 214.57/213.31 all N (is_int(N)->archim856651990g_real(hAPP_int_real(real_int,N))=N).
% 214.57/213.31 all X (hAPP_int_real(real_int,hAPP_int_int(uminus_uminus_int,X))=hAPP_real_real(uminus_uminus_real,hAPP_int_real(real_int,X))).
% 214.57/213.31 all X (hAPP_int_real(real_int,hAPP_int_int(abs_abs_int,X))=hAPP_real_real(abs_abs_real,hAPP_int_real(real_int,X))).
% 214.57/213.31 all R_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim1246769320r_real(R_2))),R_2)).
% 214.57/213.31 all R_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_2),hAPP_int_real(real_int,archim856651990g_real(R_2)))).
% 214.57/213.31 all X Y hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),Y))).
% 214.57/213.31 all X A_3 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3))).
% 214.57/213.31 all Y X 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))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_3)))))).
% 214.57/213.31 all Y X 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))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)))))).
% 214.57/213.31 all X 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))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_2))))).
% 214.57/213.31 all X (hAPP_real_real(hAPP_r1250527377l_real(powr,X),zero_zero_real)=one_one_real).
% 214.57/213.31 all X A_3 B_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_2)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_3),B_2)))).
% 214.57/213.31 all X 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))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_2))))).
% 214.57/213.31 all A_1 B_1 Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(powr,Xa),A_1)),hAPP_real_real(hAPP_r1250527377l_real(powr,Xa),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1)))).
% 214.57/213.31 all X A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),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),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_2))).
% 214.57/213.31 all X A_3 B_2 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,X),B_2))=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,A_3),B_2))).
% 214.57/213.31 all X A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_real_real(uminus_uminus_real,A_3))=hAPP_real_real(inverse_inverse_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3))).
% 214.57/213.31 all N X 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),X))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N)),hAPP_int_real(real_int,X)))).
% 214.57/213.31 all Xa A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim1246769320r_real(Xa)),A_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),hAPP_int_real(real_int,A_1)))).
% 214.57/213.31 all A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_3)),X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),archim1246769320r_real(X)))).
% 214.57/213.31 all A_3 X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_3),archim1246769320r_real(X)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_3)),X))).
% 214.57/213.31 all A_1 Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),archim1246769320r_real(Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,A_1)),Xa))).
% 214.57/213.31 all X A_3 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(real_int,A_3)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim1246769320r_real(X)),A_3)).
% 214.57/213.31 all A_1 Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),archim856651990g_real(Xa)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,A_1)),Xa))).
% 214.57/213.31 all Xa A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(Xa)),A_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),hAPP_int_real(real_int,A_1)))).
% 214.57/213.31 all X A_3 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A_3)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A_3))).
% 214.57/213.31 all X A_3 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim856651990g_real(X)),A_3))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,A_3)))).
% 214.57/213.31 all N X (X=hAPP_int_real(real_int,archim1246769320r_real(X))->archim1246769320r_real(hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N))=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,archim1246769320r_real(X)),N)).
% 214.57/213.31 all X A_3 (archim1246769320r_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_int_real(real_int,A_3)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim1246769320r_real(X)),A_3)).
% 214.57/213.31 all X A_3 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_int_real(real_int,A_3)))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,archim856651990g_real(X)),A_3)).
% 214.57/213.31 all N (archim1246769320r_real(hAPP_real_real(uminus_uminus_real,hAPP_int_real(real_int,N)))=hAPP_int_int(uminus_uminus_int,N)).
% 214.57/213.31 all X A_3 (archim856651990g_real(hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),hAPP_int_real(real_int,A_3)))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,archim856651990g_real(X)),A_3)).
% 214.57/213.31 all Y X 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))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),Y))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_3)))))).
% 214.57/213.31 all A_3 Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,X),Y)),A_3)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_3)))).
% 214.57/213.31 all A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,one_one_real),X))-> (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),A_3))))).
% 214.57/213.31 all A_1 B_1 Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(powr,Xa),A_1)),hAPP_real_real(hAPP_r1250527377l_real(powr,Xa),B_1)))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1)))).
% 214.57/213.31 all Xa (hAPP_real_real(hAPP_r1250527377l_real(powr,Xa),one_one_real)=Xa<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))).
% 214.57/213.31 all A_3 Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hAPP_real_real(hAPP_r1250527377l_real(powr,hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,X),Y)),A_3)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)),hAPP_real_real(hAPP_r1250527377l_real(powr,Y),A_3)))).
% 214.57/213.31 all X A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),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),A_3))).
% 214.57/213.31 all X A_3 (hAPP_real_real(hAPP_r1250527377l_real(powr,X),A_3)=hAPP_real_real(exp_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),hAPP_real_real(ln,X)))).
% 214.57/213.31 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Na)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Na),zero_zero_int))).
% 214.57/213.31 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_int_real(real_int,Na)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Na))).
% 214.57/213.31 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_int_real(real_int,Na)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Na))).
% 214.57/213.31 all Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Na)),zero_zero_real))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Na),zero_zero_int))).
% 214.57/213.31 all Ma Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Ma)),hAPP_int_real(number267125858f_real,Na)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ma),hAPP_int_int(number_number_of_int,Na)))).
% 214.57/213.31 all Na Ma (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,Na)),hAPP_int_real(real_int,Ma)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(number_number_of_int,Na)),Ma))).
% 214.57/213.31 all Na Ma (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(number267125858f_real,Na)),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,Na)),Ma))).
% 214.57/213.31 all Ma Na (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,Ma)),hAPP_int_real(number267125858f_real,Na)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ma),hAPP_int_int(number_number_of_int,Na)))).
% 214.57/213.31 all Na Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Na),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,Na)),one_one_real)),hAPP_int_real(real_int,Ma)))).
% 214.57/213.31 all Na Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Na),Ma))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,Na)),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,Ma)),one_one_real)))).
% 214.57/213.31 all N X (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,X)),one_one_real)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,N),X))).
% 214.57/213.31 all X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))->hAPP_nat_real(real_nat,hAPP_int_nat(nat,X))=hAPP_int_real(real_int,X)).
% 214.57/213.31 all N D_3 (is_int(D_3)-> (D_3!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_3),N))->hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),D_3))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,N)),hAPP_int_real(real_int,D_3))))).
% 214.57/213.31 all R_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,R_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,archim1246769320r_real(R_2))),one_one_real))).
% 214.57/213.31 all R_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,archim1246769320r_real(R_2))),one_one_real))).
% 214.57/213.31 all N X (is_int(N)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)))->archim1246769320r_real(X)=N))).
% 214.57/213.31 all X I (hAPP_real_real(tan,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,X),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_int_real(real_int,I)),pi)))=hAPP_real_real(tan,X)).
% 214.57/213.31 all R_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_2),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R_2)))).
% 214.57/213.31 all R_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,R_2),one_one_real)),hAPP_int_real(real_int,archim1246769320r_real(R_2)))).
% 214.57/213.31 all R_2 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,archim856651990g_real(R_2))),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,R_2),one_one_real))).
% 214.57/213.31 all R_2 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_2))),one_one_real)),R_2)).
% 214.57/213.31 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))->hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_nat_real(real_nat,N))=hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N)).
% 214.57/213.31 all Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Y))->hAPP_real_real(ln,hAPP_real_real(hAPP_r1250527377l_real(powr,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),hAPP_real_real(ln,X)))).
% 214.57/213.31 all X 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))->hAPP_real_real(hAPP_r1250527377l_real(powr,A_3),hAPP_real_real(log(A_3),X))=X))).
% 214.57/213.31 all Y 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))=Y)).
% 214.57/213.31 all N M R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,M)),R_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,M),N)))).
% 214.57/213.31 all N X 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)),hAPP_int_real(real_int,X))),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),X))))).
% 214.57/213.31 all N X 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)),hAPP_int_real(real_int,X))),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,N),X)))),one_one_real)).
% 214.57/213.31 all X 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)),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),D_3))),hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(real_int,hAPP_int_int(div_mod_int(X),D_3))),hAPP_int_real(real_int,D_3))))).
% 214.57/213.31 all N X (is_int(N)-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)))->archim1246769320r_real(X)=N))).
% 214.57/213.31 all A_1 Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),archim1246769320r_real(Xa)))<->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_1)),one_one_real)),Xa))).
% 214.57/213.31 all Xa A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,archim1246769320r_real(Xa)),A_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,A_1)),one_one_real)))).
% 214.57/213.31 all N X (is_int(N)-> (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)),one_one_real)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X),hAPP_int_real(real_int,N)))->archim856651990g_real(X)=N))).
% 214.57/213.31 all Xa A_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,archim856651990g_real(Xa)),A_1))<->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,hAPP_int_real(real_int,A_1)),one_one_real)))).
% 214.57/213.31 all A_1 Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),archim856651990g_real(Xa)))<->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_1)),one_one_real)),Xa))).
% 214.57/213.31 all B_2 Y X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Y))->hAPP_real_real(log(B_2),hAPP_real_real(hAPP_r1250527377l_real(powr,X),Y))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,Y),hAPP_real_real(log(B_2),X)))).
% 214.57/213.31 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(real_int,N)),X))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_int_real(real_int,N)),one_one_real)))->archim856651990g_real(X)=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N),one_one_int))).
% 214.57/213.31 all N X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),X))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N))-> (X=zero_zero_real->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N)=zero_zero_real)& (X!=zero_zero_real->hAPP_nat_real(hAPP_r474017924t_real(power_power_real,X),N)=hAPP_real_real(hAPP_r1250527377l_real(powr,X),hAPP_nat_real(real_nat,N))))).
% 214.57/213.31 all A_3 X (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),X))-> (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)),A_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(powr,A_3),A_3)),X))))).
% 214.57/213.31 all R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),R_2))-> (exists N_1 (is_int(N_1)&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_1)),R_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))))))).
% 214.57/213.31 all R_2 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),zero_zero_real))-> (exists N_1 (is_int(N_1)&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_1)),R_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))))))).
% 214.57/213.31 all R_2 exists N_1 (is_int(N_1)&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_int_real(real_int,N_1)),R_2))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_2),hAPP_int_real(real_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N_1),one_one_int))))).
% 214.57/213.31 all C_1 N 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)-> (exists R_1 S_2 (A_3=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,R_1),N)&B_2=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,S_2),N))))).
% 214.57/213.31 all X Y K_2 P_3 (hBOOL(hAPP_nat_bool(prime,P_3))-> (hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),K_2)-> (exists I_2 J_1 (X=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),I_2)&Y=hAPP_nat_nat(hAPP_nat_fun_nat_nat(power_power_nat,P_3),J_1))))).
% 214.57/213.31 all X M (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),M))-> (hAPP_int_int(legacy_zgcd(X),M)=one_one_int->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),phi(M))),one_one_int),M)))).
% 214.57/213.31 all I J_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(I),J_2)),J_2)).
% 214.57/213.31 all I J_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(I),J_2)),I)).
% 214.57/213.31 all M N K_2 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(legacy_zgcd(M),N)),hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),N))).
% 214.57/213.31 all M K_2 N (hAPP_int_int(legacy_zgcd(K_2),N)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),M)),N)=hAPP_int_int(legacy_zgcd(M),N)).
% 214.57/213.31 all N K_2 M (hAPP_int_int(legacy_zgcd(K_2),M)=one_one_int-> (hAPP_int_int(legacy_zgcd(N),M)=one_one_int->hAPP_int_int(legacy_zgcd(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_2),N)),M)=one_one_int)).
% 214.57/213.31 all M (hAPP_int_int(legacy_zgcd(M),one_one_int)=one_one_int).
% 214.57/213.31 all M (hAPP_int_int(legacy_zgcd(one_one_int),M)=one_one_int).
% 214.57/213.31 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)).
% 214.57/213.31 all M N (hAPP_int_int(legacy_zgcd(M),N)=hAPP_int_int(legacy_zgcd(N),hAPP_int_int(div_mod_int(M),N))).
% 214.57/213.31 all A_3 B_2 N (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(legacy_zgcd(A_3),B_2)),N)=hAPP_int_int(legacy_zgcd(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_3),N)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),N))).
% 214.57/213.31 all N 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))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),hAPP_int_int(legacy_zgcd(M),N))))).
% 214.57/213.31 all K Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),hAPP_int_int(legacy_zgcd(Ma),Na)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Ma))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Na))).
% 214.57/213.31 all I J_2 (hAPP_int_int(legacy_zgcd(I),J_2)=hAPP_int_int(legacy_zgcd(J_2),I)).
% 214.57/213.31 all K_2 M N (hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(legacy_zgcd(M),N))=hAPP_int_int(legacy_zgcd(M),hAPP_int_int(legacy_zgcd(K_2),N))).
% 214.57/213.31 all K_2 M N (hAPP_int_int(legacy_zgcd(hAPP_int_int(legacy_zgcd(K_2),M)),N)=hAPP_int_int(legacy_zgcd(K_2),hAPP_int_int(legacy_zgcd(M),N))).
% 214.57/213.31 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)).
% 214.57/213.31 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)).
% 214.57/213.31 all M N 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),K_2))),N)=hAPP_int_int(legacy_zgcd(M),N)).
% 214.57/213.31 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))).
% 214.57/213.31 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)).
% 214.57/213.31 all X Y hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(legacy_zgcd(X),Y))).
% 214.57/213.31 all N 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)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),N))=one_one_int).
% 214.57/213.31 all N 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)),B_2)=one_one_int).
% 214.57/213.31 all K_2 M N (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))=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))).
% 214.57/213.31 all M (hAPP_int_int(legacy_zgcd(zero_zero_int),M)=hAPP_int_int(abs_abs_int,M)).
% 214.57/213.31 all M (hAPP_int_int(legacy_zgcd(M),zero_zero_int)=hAPP_int_int(abs_abs_int,M)).
% 214.57/213.31 all N 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)),K_2)=K_2)).
% 214.57/213.31 all M N 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))=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))).
% 214.57/213.31 all N 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))=K_2)).
% 214.57/213.31 all Na 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),Na))<->hAPP_int_int(legacy_zgcd(Na),Ma)=Ma))).
% 214.57/213.31 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)).
% 214.57/213.31 all N 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))-> (hAPP_int_int(legacy_zgcd(M),N)=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)))))).
% 214.57/213.31 all M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))->hAPP_int_int(legacy_zgcd(M),N)=hAPP_int_int(legacy_zgcd(N),hAPP_int_int(div_mod_int(M),N))).
% 214.57/213.31 all M K_2 N (hAPP_int_int(legacy_zgcd(K_2),N)=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)),hAPP_int_int(legacy_zgcd(M),N)))).
% 214.57/213.31 all M N K_2 (hAPP_int_int(legacy_zgcd(N),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)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M)))).
% 214.57/213.31 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)))).
% 214.57/213.31 all Ma (hAPP_int_int(legacy_zgcd(zero_zero_int),Ma)=one_one_int<->hAPP_int_int(abs_abs_int,Ma)=one_one_int).
% 214.57/213.31 all K L (hAPP_int_int(legacy_zgcd(K),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),hAPP_int_int(legacy_zgcd(L),hAPP_int_int(div_mod_int(hAPP_int_int(abs_abs_int,K)),hAPP_int_int(abs_abs_int,L)))))).
% 214.57/213.31 all N P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_3),N))->hAPP_int_int(legacy_zgcd(N),P_3)=one_one_int)).
% 214.57/213.31 all A_1 B_1 (hAPP_int_int(legacy_zgcd(A_1),B_1)=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_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,P_4),B_1))))).
% 214.57/213.31 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))).
% 214.57/213.31 all N P_3 (hBOOL(hAPP_int_bool(zprime,P_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,N),P_3))->hAPP_int_int(legacy_zgcd(N),P_3)=one_one_int))).
% 214.57/213.31 all A_1 B_1 K Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(K),Ma)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),A_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K),B_1)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))))).
% 214.57/213.31 all A_1 B_1 K Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(K),Ma)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),K)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),K)),Ma))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))))).
% 214.57/213.31 all M N K_2 (hAPP_int_int(legacy_zgcd(N),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)))-> (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))))).
% 214.57/213.31 all A_1 B_1 Ma (hAPP_int_int(legacy_zgcd(B_1),Ma)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_1))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),hAPP_i1948725293t_bool(bnorRset(A_1),Ma)))))).
% 214.57/213.31 all A_1 B_1 C Xa (is_int(A_1)-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),B_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,C),hAPP_int_nat(nat,Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,Xa)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> (hAPP_int_int(legacy_zgcd(A_1),B_1)=one_one_int-> (exists K_1 (is_int(K_1)&A_1=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K_1),hAPP_int_nat(nat,Xa))))))))).
% 214.57/213.31 all Ma K Na (is_int(K)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Na))-> (hAPP_int_int(legacy_zgcd(Ma),Na)=K<-> (exists S_2 T (is_int(S_2)&is_int(T)&xzgcd(Ma,Na)=hAPP_P408881810nt_int(hAPP_i1730167831nt_int(produc282740534nt_int,K),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,S_2),T))))))).
% 214.57/213.31 all A_3 B_2 C_1 N (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)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N))-> (hAPP_int_int(legacy_zgcd(A_3),B_2)=one_one_int-> (exists K_1 (is_int(K_1)&hAPP_int_int(abs_abs_int,A_3)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K_1),N)))))).
% 214.57/213.31 all M N R_4 R_2 S_3 S_1 T_2 T_1 K_2 (is_int(K_2)-> ((exists Sn Tn (xzgcda(M,N,R_4,R_2,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_2))->hAPP_int_int(legacy_zgcd(R_4),R_2)=K_2))).
% 214.57/213.31 all B_2 A_3 N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))-> (hAPP_int_int(legacy_zgcd(A_3),N)=one_one_int-> (exists 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),N))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),X_1)),B_2),N))& (all Y_1 (is_int(Y_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_int,Y_1),N))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),Y_1)),B_2),N))->Y_1=X_1))))))).
% 214.57/213.31 all A_3 N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))-> (hAPP_int_int(legacy_zgcd(A_3),N)=one_one_int-> (exists X_1 (is_int(X_1)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_3),X_1)),one_one_int),N)))))).
% 214.57/213.31 all M N S_3 S_1 T_2 T_1 R_4 R_2 K_2 (hAPP_int_int(legacy_zgcd(R_4),R_2)=K_2-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),R_2))-> (exists Sn Tn (is_int(Sn)&is_int(Tn)&xzgcda(M,N,R_4,R_2,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)))))).
% 214.57/213.31 all A_1 B_1 C D_1 Xa (is_int(A_1)&is_int(B_1)&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_1),B_1)),C)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,D_1),hAPP_int_nat(nat,Xa))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),hAPP_int_nat(nat,Xa)))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),zOdd))-> (hAPP_int_int(legacy_zgcd(A_1),B_1)=one_one_int-> (hAPP_int_int(legacy_zgcd(B_1),C)=one_one_int-> (hAPP_int_int(legacy_zgcd(C),A_1)=one_one_int-> (exists K_1 L_1 M_1 (is_int(K_1)&is_int(L_1)&is_int(M_1)&A_1=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,K_1),hAPP_int_nat(nat,Xa))&B_1=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,L_1),hAPP_int_nat(nat,Xa))&C=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_1),hAPP_int_nat(nat,Xa))))))))))).
% 214.57/213.31 all M K_2 N (is_int(K_2)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),N))-> (hAPP_int_int(legacy_zgcd(M),N)=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))))))).
% 214.57/213.31 all A_3 B_2 C_1 D_3 N (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)-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,one_one_nat),N))-> (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_1 L_1 M_1 (is_int(K_1)&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_1),N)&hAPP_int_int(abs_abs_int,B_2)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,L_1),N)&hAPP_int_int(abs_abs_int,C_1)=hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,M_1),N)))))))).
% 214.57/213.31 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)))).
% 214.57/213.31 all Sb Ta A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Sb),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_1),Sb)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B_1),Ta))),pair_less)))).
% 214.57/213.31 all Sb Ta A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_1))->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_1),Sb)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B_1),Ta))),pair_less))).
% 214.57/213.31 all Sb Ta A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,A_1),B_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Sb),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_1),Sb)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B_1),Ta))),pair_le_q)))).
% 214.57/213.31 all Sb Ta A_1 B_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,A_1),B_1))->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_1),Sb)),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,B_1),Ta))),pair_le_q))).
% 214.57/213.31 all Y X exists R_1 A_2 (X=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(cos,A_2))&Y=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_1),hAPP_real_real(sin,A_2))).
% 214.57/213.31 all X Y (hAPP_real_real(dist_dist_real(X),Y)=hAPP_real_real(abs_abs_real,hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,X),Y))).
% 214.57/213.31 all X Y (hAPP_complex_real(dist_dist_complex(X),Y)=hAPP_complex_real(norm_norm_complex,hAPP_complex_complex(hAPP_c172932010omplex(minus_minus_complex,X),Y))).
% 214.57/213.31 all F A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))-> (exists Y_1 (hBOOL(hAPP_real_bool(deriv_real(F,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,hAPP_real_real(F,A_1)),hAPP_real_real(F,B_1))))).
% 214.57/213.32 all F A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))-> (exists Y_1 (hBOOL(hAPP_real_bool(deriv_real(F,X_1),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Y_1),zero_zero_real))))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(F,B_1)),hAPP_real_real(F,A_1))))).
% 214.57/213.32 all Z_1 (is_int(Z_1)-> ((all N_1 (Z_1!=hAPP_nat_int(semiri1621563631at_int,N_1)))-> -(all N_1 (Z_1!=hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))))))).
% 214.57/213.32 all Z_2 P_1 ((all N_1 hBOOL(hAPP_int_bool(P_1,hAPP_nat_int(semiri1621563631at_int,N_1))))-> ((all N_1 hBOOL(hAPP_int_bool(P_1,hAPP_int_int(uminus_uminus_int,hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,N_1))))))->hBOOL(hAPP_int_bool(P_1,Z_2)))).
% 214.57/213.32 all Ma Na P_1 ((all M_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M_1),zero_zero_nat)))-> ((all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),N_1))-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,N_1),hAPP_nat_nat(div_mod_nat(M_1),N_1)))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,M_1),N_1)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Ma),Na)))).
% 214.57/213.32 all N 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))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(dvd_dvd_nat,P_3),hAPP_nat_nat(fact,N))))).
% 214.57/213.32 all N M (hAPP_Q1762011733de_int(div_mo231679042de_int(N),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(div_mod_int(quickcheck_int_of(N)),quickcheck_int_of(M)))).
% 214.57/213.32 number1226105091de_int=quickcheck_of_int.
% 214.57/213.32 all N (is_int(N)->quickcheck_int_of(hAPP_i1732201573de_int(quickcheck_of_int,N))=N).
% 214.57/213.32 all K_2 (hAPP_i1732201573de_int(quickcheck_of_int,quickcheck_int_of(K_2))=K_2).
% 214.57/213.32 all X (hAPP_i1732201573de_int(quickcheck_of_int,quickcheck_int_of(X))=X).
% 214.57/213.32 all Na Ma (is_int(Na)&is_int(Ma)-> (hAPP_i1732201573de_int(quickcheck_of_int,Na)=hAPP_i1732201573de_int(quickcheck_of_int,Ma)<->Na=Ma)).
% 214.57/213.32 all M N (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M),N))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(fact,M)),hAPP_nat_nat(fact,N)))).
% 214.57/213.32 all N M (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(times_123202395de_int,N),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,quickcheck_int_of(N)),quickcheck_int_of(M)))).
% 214.57/213.32 all N M (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(plus_p1446045655de_int,N),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,quickcheck_int_of(N)),quickcheck_int_of(M)))).
% 214.57/213.32 all N M (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(minus_534354567de_int,N),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,quickcheck_int_of(N)),quickcheck_int_of(M)))).
% 214.57/213.32 zero_z891286103de_int=hAPP_i1732201573de_int(quickcheck_of_int,zero_zero_int).
% 214.57/213.32 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),hAPP_nat_nat(fact,N))).
% 214.57/213.32 hAPP_nat_nat(fact,zero_zero_nat)=one_one_nat.
% 214.57/213.32 all N (hAPP_nat_nat(fact,hAPP_nat_nat(suc,N))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(suc,N)),hAPP_nat_nat(fact,N))).
% 214.57/213.32 all N hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,one_one_nat),hAPP_nat_nat(fact,N))).
% 214.57/213.32 one_on1684967323de_int=hAPP_i1732201573de_int(quickcheck_of_int,one_one_int).
% 214.57/213.32 all N M (hAPP_Q1762011733de_int(hAPP_Q1729056540de_int(div_di1430059507de_int,N),M)=hAPP_i1732201573de_int(quickcheck_of_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,quickcheck_int_of(N)),quickcheck_int_of(M)))).
% 214.57/213.32 all N exists P_4 (hBOOL(hAPP_nat_bool(prime,P_4))&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,N),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))))).
% 214.57/213.32 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_1 (hAPP_nat_nat(F,hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,I_2),K_1))=hAPP_nat_nat(F,I_2)))).
% 214.57/213.32 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)))).
% 214.57/213.32 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)))).
% 214.57/213.32 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)))).
% 214.57/213.32 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)).
% 214.57/213.32 all X (hAPP_int_real(number267125858f_real,X)=hAPP_int_real(ring_1_of_int_real,X)).
% 214.57/213.32 all W (hAPP_int_int(number_number_of_int,W)=hAPP_int_int(ring_1_of_int_int,W)).
% 214.57/213.32 all W (hAPP_int_complex(number528085621omplex,W)=hAPP_int_complex(ring_11397209091omplex,W)).
% 214.57/213.32 all N (hAPP_int_int(ring_1_of_int_int,hAPP_nat_int(semiri1621563631at_int,N))=hAPP_nat_int(semiri1621563631at_int,N)).
% 214.57/213.32 all Z_1 (hAPP_complex_complex(cnj,hAPP_int_complex(ring_11397209091omplex,Z_1))=hAPP_int_complex(ring_11397209091omplex,Z_1)).
% 214.57/213.32 all Z_1 (hAPP_complex_real(re,hAPP_int_complex(ring_11397209091omplex,Z_1))=hAPP_int_real(ring_1_of_int_real,Z_1)).
% 214.57/213.32 all Z_1 (hAPP_complex_real(im,hAPP_int_complex(ring_11397209091omplex,Z_1))=zero_zero_real).
% 214.57/213.32 real_int=ring_1_of_int_real.
% 214.57/213.32 real_int=ring_1_of_int_real.
% 214.57/213.32 all Ma (phi(Ma)=hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(norRRset,Ma))).
% 214.57/213.32 all A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hAPP_int_int(legacy_zgcd(A_1),Ma)=one_one_int-> (exists X_1 (is_int(X_1)&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),X_1),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(norRRset,Ma)))& (all Y_1 (is_int(Y_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),Y_1),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Y_1),hAPP_i1948725293t_bool(norRRset,Ma)))->Y_1=X_1))))))).
% 214.57/213.32 all Xa Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(Xa),Ma)=one_one_int->hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(noXRRset(Ma),Xa))=hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(norRRset,Ma)))).
% 214.57/213.32 all Xa Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(Xa),Ma)=one_one_int->hBOOL(hAPP_int_bool(is_RRset(hAPP_i1948725293t_bool(noXRRset(Ma),Xa)),Ma)))).
% 214.57/213.32 all A_1 A Ma (hBOOL(hAPP_int_bool(is_RRset(A),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),A))->hAPP_int_int(legacy_zgcd(A_1),Ma)=one_one_int)).
% 214.57/213.32 all A_1 B_1 A Ma (is_int(A_1)&is_int(B_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A),Ma))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),B_1),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,B_1),A))->A_1=B_1)))))).
% 214.57/213.32 all A_1 A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),hAPP_int_int(rRset2norRR(A,Ma),A_1)),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(A,Ma),A_1)),hAPP_i1948725293t_bool(norRRset,Ma)))))).
% 214.57/213.32 all A_1 A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),A))->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_int_int(rRset2norRR(A,Ma),A_1)),hAPP_i1948725293t_bool(norRRset,Ma)))))).
% 214.57/213.32 all A_1 A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),hAPP_int_int(rRset2norRR(A,Ma),A_1)),Ma))))).
% 214.57/213.32 all A Ma (hBOOL(hAPP_int_bool(is_RRset(A),Ma))<->hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(Ma)))&hAPP_f957591787ol_nat(finite_card_int,A)=phi(Ma)).
% 214.57/213.32 all A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A),Ma))->image_int_int(rRset2norRR(A,Ma),A)=hAPP_i1948725293t_bool(norRRset,Ma))).
% 214.57/213.32 all A Ma (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(Ma)))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))).
% 214.57/213.32 all A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),Ma))->hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,hAPP_i1948725293t_bool(bnorRset(A_1),Ma)),rsetR(Ma)))).
% 214.57/213.32 all F A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hBOOL(hAPP_f448129468l_bool(resSet(Ma),A))-> ((all X_1 (is_int(X_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),A))-> (all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),A))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(hAPP_int_int(F,X_1)),hAPP_int_int(F,Xa_1)),Ma))->X_1=Xa_1)))))))->hBOOL(hAPP_f448129468l_bool(resSet(Ma),image_int_int(F,A)))))).
% 214.57/213.32 all A (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,A))<->hBOOL(hAPP_f448129468l_bool(finite_finite_int,image_nat_int(semiri1621563631at_int,A)))).
% 214.57/213.32 all A (hAPP_f22106695ol_nat(finite_card_nat,A)=hAPP_f957591787ol_nat(finite_card_int,image_nat_int(semiri1621563631at_int,A))).
% 214.57/213.32 all A B (A=B<->image_nat_int(semiri1621563631at_int,A)=image_nat_int(semiri1621563631at_int,B)).
% 214.57/213.32 all Xa A (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,Xa),A))<->hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,hAPP_nat_int(semiri1621563631at_int,Xa)),image_nat_int(semiri1621563631at_int,A)))).
% 214.57/213.32 all A (image_int_nat(nat,image_nat_int(semiri1621563631at_int,A))=A).
% 214.57/213.32 all A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,A),B))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,image_nat_int(semiri1621563631at_int,A)),image_nat_int(semiri1621563631at_int,B)))).
% 214.57/213.32 all A B (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),B))<->hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,image_nat_int(semiri1621563631at_int,A)),image_nat_int(semiri1621563631at_int,B)))).
% 214.57/213.32 all A_1 P_5 (setS(A_1,P_5)=image_275383677t_bool(multInvPair(A_1,P_5),hAPP_i1948725293t_bool(sRStar,P_5))).
% 214.57/213.32 all S (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (all M_1 exists N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_1),S))))).
% 214.57/213.32 all S (-hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (all M_1 exists N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),N_1))&hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,N_1),S))))).
% 214.57/213.32 all B A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le1912455174t_bool,A),B))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le382113706t_bool,image_int_nat(nat,A)),image_int_nat(nat,B)))))).
% 214.57/213.32 all N_3 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_3))<-> (exists M_1 all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,X_1),M_1))))).
% 214.57/213.32 all S (hBOOL(hAPP_f448129468l_bool(nat_nat_set,S))<-> (all X_1 (is_int(X_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),S))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X_1)))))).
% 214.57/213.32 all Xa A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa)))).
% 214.57/213.32 all C_2 hBOOL(hAPP_f448129468l_bool(nat_nat_set,image_nat_int(semiri1621563631at_int,C_2))).
% 214.57/213.32 all B A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,B))-> (A=B<->image_int_nat(nat,A)=image_int_nat(nat,B)))).
% 214.57/213.32 all A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))->image_nat_int(semiri1621563631at_int,image_int_nat(nat,A))=A).
% 214.57/213.32 all A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(finite_finite_int,A))<->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,image_int_nat(nat,A))))).
% 214.57/213.32 all A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))->hAPP_f957591787ol_nat(finite_card_int,A)=hAPP_f22106695ol_nat(finite_card_nat,image_int_nat(nat,A))).
% 214.57/213.32 all B A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,B))-> (hBOOL(hAPP_f448129468l_bool(hAPP_f284875647l_bool(ord_le951220754t_bool,A),B))<->hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,image_int_nat(nat,A)),image_int_nat(nat,B)))))).
% 214.57/213.32 all N_3 (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_3))<-> (exists M_1 all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),M_1))))).
% 214.57/213.32 all Na N_3 ((all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),N_3))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,X_1),Na))))->hBOOL(hAPP_f54304608l_bool(finite_finite_nat,N_3))).
% 214.57/213.32 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)))).
% 214.57/213.32 all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_gr1297742076an_int(L),U))).
% 214.57/213.32 all Xa (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Xa),field_1210416355s_real))-> -(all M_1 N_1 (N_1!=zero_zero_nat-> (hAPP_real_real(abs_abs_real,Xa)=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_nat_real(real_nat,M_1)),hAPP_nat_real(real_nat,N_1))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,M_1),N_1)!=one_one_nat)))).
% 214.57/213.32 all X Y (hAPP_int_int(int_lcm(X),Y)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(nat_lcm(hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,X))),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Y))))).
% 214.60/213.32 all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U))).
% 214.60/213.32 all Na hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_nat_real(real_nat,Na)),field_1210416355s_real)).
% 214.60/213.32 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))).
% 214.60/213.32 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))-> (exists X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),field_1210416355s_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Ya)))))).
% 214.60/213.32 all F Ya Xa A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Xa),hAPP_r1134773055l_bool(ord_gr788844697n_real(A_1),B_1)))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Ya),hAPP_r1134773055l_bool(ord_gr788844697n_real(A_1),B_1)))-> ((all X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),hAPP_r1134773055l_bool(ord_gr788844697n_real(A_1),B_1)))->hBOOL(hAPP_real_bool(deriv_real(F,X_1),zero_zero_real))))->hAPP_real_real(F,Xa)=hAPP_real_real(F,Ya))))).
% 214.60/213.32 all K (hBOOL(hAPP_rat_bool(iszero_rat,hAPP_int_rat(number_number_of_rat,K)))<->hBOOL(hAPP_int_bool(iszero_int,hAPP_int_int(number_number_of_int,K)))).
% 214.60/213.32 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),Ya))-> (exists X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),field_1210416355s_real))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),Ya))))).
% 214.60/213.32 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),Xa))->comple124823625p_real(hAPP_r1134773055l_bool(ord_gr788844697n_real(Ya),Xa))=Xa).
% 214.60/213.32 all Xa X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Xa),X_2))-> ((exists Z all X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Z))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),comple124823625p_real(X_2))))).
% 214.60/213.32 all Z_2 Xa X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Xa),X_2))-> ((all X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Z_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),comple124823625p_real(X_2))))).
% 214.60/213.32 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))).
% 214.60/213.32 all Q_1 ((Q_1=zero_zero_rat->hAPP_rat_rat(sgn_sgn_rat,Q_1)=zero_zero_rat)& (Q_1!=zero_zero_rat-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Q_1))->hAPP_rat_rat(sgn_sgn_rat,Q_1)=one_one_rat)& (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Q_1))->hAPP_rat_rat(sgn_sgn_rat,Q_1)=hAPP_rat_rat(uminus_uminus_rat,one_one_rat)))).
% 214.60/213.32 all Q_1 R_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,Q_1),R_2)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,Q_1),hAPP_rat_rat(inverse_inverse_rat,R_2))).
% 214.60/213.32 all K_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,K_2),zero_zero_int))=zero_zero_rat).
% 214.60/213.32 all K_2 (frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K_2))=zero_zero_rat).
% 214.60/213.32 frct(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),one_one_int))=one_one_rat.
% 214.60/213.32 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))).
% 214.60/213.32 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)).
% 214.60/213.32 all Z_2 X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Z_2),X_2))-> ((all X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Z_2))))->comple124823625p_real(X_2)=Z_2)).
% 214.60/213.32 all Z_2 Ya Xa X_2 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,Xa),X_2))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))-> ((all X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),X_2))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),Z_2))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),comple124823625p_real(X_2)))))).
% 214.60/213.32 all Q_1 R_2 (hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,Q_1),R_2)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,Q_1),hAPP_rat_rat(uminus_uminus_rat,R_2))).
% 214.60/213.32 all Q_1 ((hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Q_1),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,Q_1)=hAPP_rat_rat(uminus_uminus_rat,Q_1))& (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Q_1),zero_zero_rat))->hAPP_rat_rat(abs_abs_rat,Q_1)=Q_1)).
% 214.60/213.32 all Z_2 Wa (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Z_2),Wa))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Z_2),Wa))&Z_2!=Wa).
% 214.60/213.32 all R_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_2))-> -(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_2!=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,S_2),T)))))).
% 214.60/213.32 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)).
% 214.60/213.32 all A_1 B_1 (quotient_of(A_1)=quotient_of(B_1)<->A_1=B_1).
% 214.60/213.32 all A_3 B_2 (quotient_of(A_3)=quotient_of(B_2)->A_3=B_2).
% 214.60/213.32 all R_2 P_3 Q_1 (quotient_of(R_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Q_1))).
% 214.60/213.32 quotient_of(one_one_rat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,one_one_int),one_one_int).
% 214.60/213.32 quotient_of(zero_zero_rat)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int).
% 214.60/213.32 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)).
% 214.60/213.32 all X Y (hAPP_nat_nat(nat_lcm(X),Y)=hAPP_nat_nat(hAPP_nat_fun_nat_nat(div_div_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,X),Y)),hAPP_nat_nat(nat_gcd(X),Y))).
% 214.60/213.32 all P_3 Q_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Q_1),zero_zero_int))->normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_1))=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_1)))).
% 214.60/213.32 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y)=hAPP_nat_nat(nat_gcd(X),Y)).
% 214.60/213.32 all X Y ((Y=zero_zero_nat->hAPP_nat_nat(nat_gcd(X),Y)=X)& (Y!=zero_zero_nat->hAPP_nat_nat(nat_gcd(X),Y)=hAPP_nat_nat(nat_gcd(Y),hAPP_nat_nat(div_mod_nat(X),Y)))).
% 214.60/213.32 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)).
% 214.60/213.32 all R_2 P_3 Q_1 (normalize(R_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_1)->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Q_1))).
% 214.60/213.32 all P_3 R_2 S_1 Q_1 (is_int(S_1)&is_int(Q_1)-> (Q_1!=zero_zero_int-> (S_1!=zero_zero_int-> (normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_1))=normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,R_2),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_2),Q_1))))).
% 214.60/213.32 all Xa Ya (hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,Xa),Ya)))-> (Ya=zero_zero_nat->hAPP_nat_nat(nat_gcd(Xa),Ya)=Xa)& (Ya!=zero_zero_nat->hAPP_nat_nat(nat_gcd(Xa),Ya)=hAPP_nat_nat(nat_gcd(Ya),hAPP_nat_nat(div_mod_nat(Xa),Ya)))).
% 214.60/213.32 all X Y (hAPP_int_int(hAPP_int_fun_int_int(int_gcd,X),Y)=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(nat_gcd(hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,X))),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Y))))).
% 214.60/213.32 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_1 Y_1 (hBOOL(hAPP_P1555980039t_bool(accp_P490777396at_nat(nat_gcd_rel),hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,X_1),Y_1)))-> ((Y_1!=zero_zero_nat->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,Y_1),hAPP_nat_nat(div_mod_nat(X_1),Y_1))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,X_1),Y_1)))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(P_1,A0),A1)))).
% 214.60/213.32 all Xa Ya (hBOOL(hAPP_f526364711l_bool(hAPP_P1062890741l_bool(member2143287562nt_int,hAPP_P230595783nt_int(hAPP_P941956607nt_int(produc883642259nt_int,Xa),Ya)),ratrel))<->hAPP_P1175774780nt_int(product_snd_int_int,Xa)!=zero_zero_int&hAPP_P1175774780nt_int(product_snd_int_int,Ya)!=zero_zero_int&hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,Xa)),hAPP_P1175774780nt_int(product_snd_int_int,Ya))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_P1175774780nt_int(product_fst_int_int,Ya)),hAPP_P1175774780nt_int(product_snd_int_int,Xa))).
% 214.60/213.32 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))).
% 214.60/213.32 all R_2 S_1 (ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,hAPP_int_rat(number_number_of_rat,R_2)),hAPP_int_rat(number_number_of_rat,S_1)))=hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,hAPP_int_real(number267125858f_real,R_2)),hAPP_int_real(number267125858f_real,S_1))).
% 214.60/213.32 all A_3 B_2 P_3 Q_1 (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_1)->hAPP_int_rat(hAPP_int_fun_int_rat(fract,P_3),Q_1)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)).
% 214.60/213.32 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)).
% 214.60/213.32 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)).
% 214.60/213.32 all A_1 C D_1 B_1 (is_int(D_1)&is_int(B_1)-> (B_1!=zero_zero_int-> (D_1!=zero_zero_int-> (hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_1)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D_1)<->hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),D_1)=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1))))).
% 214.60/213.32 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))).
% 214.60/213.32 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)).
% 214.60/213.32 all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,K_2),zero_zero_int)=zero_zero_rat).
% 214.60/213.32 all K_2 (hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),K_2)=zero_zero_rat).
% 214.60/213.32 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)).
% 214.60/213.32 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)).
% 214.60/213.32 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))).
% 214.60/213.32 all X (archim1246769320r_real(ratreal(X))=archim791455193or_rat(X)).
% 214.60/213.32 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)).
% 214.60/213.32 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)).
% 214.60/213.32 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)).
% 214.60/213.32 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))).
% 214.60/213.32 hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),one_one_int)=one_one_rat.
% 214.60/213.32 one_one_rat=hAPP_int_rat(hAPP_int_fun_int_rat(fract,one_one_int),one_one_int).
% 214.60/213.32 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)).
% 214.60/213.32 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)).
% 214.60/213.32 all W (hAPP_int_rat(number_number_of_rat,W)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,W),one_one_int)).
% 214.60/213.32 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))).
% 214.60/213.32 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))).
% 214.60/213.32 all A_3 B_2 P_3 Q_1 (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_1)->hAPP_int_rat(hAPP_int_fun_int_rat(fract,P_3),Q_1)=hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_3),B_2)).
% 214.60/213.32 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,ratreal(Xa)),ratreal(Ya)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,Xa),Ya))).
% 214.60/213.32 ratreal(zero_zero_rat)=zero_zero_real.
% 214.60/213.32 zero_zero_real=ratreal(zero_zero_rat).
% 214.60/213.32 all K_2 (hAPP_int_real(number267125858f_real,K_2)=ratreal(hAPP_int_rat(number_number_of_rat,K_2))).
% 214.60/213.32 all K_2 (ratreal(hAPP_int_rat(number_number_of_rat,K_2))=hAPP_int_real(number267125858f_real,K_2)).
% 214.60/213.32 one_one_real=ratreal(one_one_rat).
% 214.60/213.32 ratreal(one_one_rat)=one_one_real.
% 214.60/213.32 all Xa Ya (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,ratreal(Xa)),ratreal(Ya)))<->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,Xa),Ya))).
% 214.60/213.32 all X Y (hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,ratreal(X)),ratreal(Y))=ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,X),Y))).
% 214.60/213.32 all X Y (hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,ratreal(X)),ratreal(Y))=ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(minus_minus_rat,X),Y))).
% 214.60/213.32 all X (hAPP_real_real(uminus_uminus_real,ratreal(X))=ratreal(hAPP_rat_rat(uminus_uminus_rat,X))).
% 214.60/213.32 all X Y (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,ratreal(X)),ratreal(Y))=ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(inverse_divide_rat,X),Y))).
% 214.60/213.32 all X Y (hAPP_real_real(hAPP_r1250527377l_real(times_times_real,ratreal(X)),ratreal(Y))=ratreal(hAPP_rat_rat(hAPP_rat_fun_rat_rat(times_times_rat,X),Y))).
% 214.60/213.32 all X (hAPP_real_real(inverse_inverse_real,ratreal(X))=ratreal(hAPP_rat_rat(inverse_inverse_rat,X))).
% 214.60/213.32 zero_zero_rat=hAPP_int_rat(hAPP_int_fun_int_rat(fract,zero_zero_int),one_one_int).
% 214.60/213.32 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)).
% 214.60/213.32 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)).
% 214.60/213.32 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))).
% 214.60/213.32 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))).
% 214.60/213.32 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))).
% 214.60/213.32 all A_1 C D_1 B_1 (is_int(D_1)&is_int(B_1)-> (B_1!=zero_zero_int-> (D_1!=zero_zero_int-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_1)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D_1)))<->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_1),D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_1)))))))).
% 214.60/213.32 all R_2 S_1 (hAPP_real_real(hAPP_r1250527377l_real(inverse_divide_real,ratreal(hAPP_int_rat(number_number_of_rat,R_2))),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_2)),hAPP_int_real(number267125858f_real,S_1))).
% 214.60/213.32 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)))).
% 214.60/213.32 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),A_1)))).
% 214.60/213.32 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_1)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),zero_zero_int)))).
% 214.60/213.32 all A_1 C D_1 B_1 (is_int(D_1)&is_int(B_1)-> (B_1!=zero_zero_int-> (D_1!=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_1),B_1)),hAPP_int_rat(hAPP_int_fun_int_rat(fract,C),D_1)))<->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_1),D_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_1))),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,C),B_1)),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,B_1),D_1)))))))).
% 214.60/213.32 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))))).
% 214.60/213.32 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))))).
% 214.60/213.32 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,one_one_rat),hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),A_1)))).
% 214.60/213.32 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_1)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),B_1)))).
% 214.60/213.32 all M N (is_int(N)-> (N!=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)),N)=hAPP_rat_rat(hAPP_rat_fun_rat_rat(plus_plus_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,M),N)),one_one_rat))).
% 214.60/213.32 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (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_1),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),A_1)))).
% 214.60/213.32 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_1)),zero_zero_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),zero_zero_int)))).
% 214.60/213.32 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))))).
% 214.60/213.32 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (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_1),B_1)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,B_1),A_1)))).
% 214.60/213.32 all A_1 B_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),B_1))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_e_q_rat,hAPP_int_rat(hAPP_int_fun_int_rat(fract,A_1),B_1)),one_one_rat))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,A_1),B_1)))).
% 214.60/213.32 all Q_2 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_2))).
% 214.60/213.32 all Na hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_nat_real(real_nat,Na)),ring_1_Ints_real)).
% 214.60/213.32 all Xa hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,hAPP_int_real(real_int,Xa)),ring_1_Ints_real)).
% 214.60/213.32 all B_1 Q_2 Ra (hAPP_P1975530577nt_int(adjust(B_1),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,Q_2),Ra))=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,Ra),B_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,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))),Q_2)),one_one_int)),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Ra),B_1))),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_2)),Ra))).
% 214.60/213.32 all X_1 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_1),zero_zero_real)).
% 214.60/213.32 all K hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),K)))).
% 214.60/213.32 all K 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)))).
% 214.60/213.32 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),one_one_real))->hBOOL(bse_q_real(hAPP_r474017924t_real(power_power_real,Xa))))).
% 214.60/213.32 all K Xa 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)),Xa),hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),K))))).
% 214.60/213.32 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)))).
% 214.60/213.32 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))))).
% 214.60/213.32 all Na 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),Na))))).
% 214.60/213.32 all Na 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),Na))))).
% 214.60/213.32 all Na 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),Na))))).
% 214.60/213.32 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Na))->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),Na))))=hAPP_int_nat(nat,Na)).
% 214.60/213.32 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Na))->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),Na))))=hAPP_int_nat(nat,Na)).
% 214.60/213.32 all X_1 (hAPP_n1699378549t_bool(ord_less_nat,X_1)=hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,X_1))).
% 214.60/213.32 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))))).
% 214.60/213.32 all Xa 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),Xa),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,Xa)),hAPP_real_real(sin,Xa))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,Xa)),hAPP_real_real(sin,Xa))))).
% 214.60/213.32 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))).
% 214.60/213.32 all K Xa 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)),Xa),hAPP_real_real(cos,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,Xa),K)))).
% 214.60/213.32 all Na (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),Na)))=hAPP_nat_nat(suc,Na)).
% 214.60/213.32 all Xa (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),Xa)))=hAPP_nat_nat(suc,Xa)).
% 214.60/213.32 all Xa hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_e_q_nat),Xa)))).
% 214.60/213.32 -hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(prime))).
% 214.60/213.32 all X_2 (hBOOL(cauchy_complex(X_2))->hBOOL(cauchy_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_2)))).
% 214.60/213.32 all X_2 (hBOOL(cauchy_complex(X_2))->hBOOL(cauchy_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_2)))).
% 214.60/213.32 all X_2 (hBOOL(cauchy_complex(X_2))->hBOOL(cauchy_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_2)))).
% 214.60/213.32 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)))).
% 214.60/213.32 all G Xa Ma (hBOOL(hAPP_real_bool(deriv_real(G,Xa),Ma))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,sin),G),Xa),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,hAPP_real_real(G,Xa))),Ma)))).
% 214.60/213.32 all Xa (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),Xa)))=Xa).
% 214.60/213.32 all Na (hAPP_f22106695ol_nat(finite_card_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),Na)))=Na).
% 214.60/213.32 all Na 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),Na))))).
% 214.60/213.32 all Xa hBOOL(hAPP_f54304608l_bool(finite_finite_nat,collect_nat(hAPP_n1699378549t_bool(hAPP_f229349961t_bool(cOMBC_nat_nat_bool,ord_less_nat),Xa)))).
% 214.60/213.32 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)))))).
% 214.60/213.32 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))))).
% 214.60/213.32 all G Xa Ma (hBOOL(hAPP_real_bool(deriv_real(G,Xa),Ma))->hBOOL(hAPP_real_bool(deriv_real(hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,cos),G),Xa),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,hAPP_real_real(G,Xa)))),Ma)))).
% 214.60/213.32 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))))).
% 214.60/213.32 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)))))).
% 214.60/213.32 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).
% 214.60/213.32 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)))))).
% 214.60/213.32 hBOOL(hAPP_f54304608l_bool(nat_tr160667106at_int(semiri1621563631at_int),cOMBK_bool_nat(fTrue))).
% 214.60/213.32 all Na (is_int(Na)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Na))->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),Na)))))=Na)).
% 214.60/213.32 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)))).
% 214.60/213.32 all Ma Xa (hAPP_i1948725293t_bool(noXRRset(Ma),Xa)=image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),Xa),hAPP_i1948725293t_bool(norRRset,Ma))).
% 214.60/213.32 all Na G Xa Ma (hBOOL(hAPP_real_bool(deriv_real(G,Xa),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)),Na),Xa),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,Na)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(G,Xa)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),one_one_nat)))),Ma)))).
% 214.60/213.32 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Na))->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),Na)))))=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Na),one_one_int)).
% 214.60/213.32 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Na))->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),Na))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,hAPP_int_nat(nat,Na)),one_one_nat)).
% 214.60/213.32 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Na))->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),Na))))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(nat,Na)),one_one_nat)).
% 214.60/213.32 all Xa 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),Xa),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,Xa))),hAPP_real_real(cos,Xa))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,Xa))),hAPP_real_real(cos,Xa))))).
% 214.60/213.32 all Va Na (hAPP_int_nat(number_number_of_nat,Va)=hAPP_nat_nat(suc,Na)<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))->hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va)))=Na)).
% 214.60/213.32 all Na Va (hAPP_nat_nat(suc,Na)=hAPP_int_nat(number_number_of_nat,Va)<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))->hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va)))=Na)).
% 214.60/213.32 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))))).
% 214.60/213.32 all Na Xa hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(hAPP_f248847589l_real(cOMBC_real_nat_real,power_power_real),Na),Xa),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,Na)),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),hAPP_nat_nat(suc,zero_zero_nat)))))).
% 214.60/213.32 all Xa 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),Xa),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,Xa))),hAPP_real_real(sin,Xa)))).
% 214.60/213.32 all Na Va (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_nat_nat(suc,Na)),hAPP_int_nat(number_number_of_nat,Va)))<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Na),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))))).
% 214.60/213.32 all Va Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,hAPP_int_nat(number_number_of_nat,Va)),hAPP_nat_nat(suc,Na)))<-> (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))->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,Va)))),Na)))).
% 214.60/213.32 all Na Va (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Na)),hAPP_int_nat(number_number_of_nat,Va)))<-> -hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))& (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))->hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))))).
% 214.60/213.32 all Va Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_int_nat(number_number_of_nat,Va)),hAPP_nat_nat(suc,Na)))<-> (-hBOOL(hAPP_int_bool(nat_neg,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))->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,Va)))),Na)))).
% 214.60/213.32 all X_2 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_2)),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)))))).
% 214.60/213.32 all Xa A Ma (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,A),rsetR(Ma)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Ma))-> (hAPP_int_int(legacy_zgcd(Xa),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),Xa),A)),rsetR(Ma)))))).
% 214.60/213.32 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)).
% 214.60/213.32 all Xa 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),Xa),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,Xa))),hAPP_real_real(sin,Xa)))).
% 214.60/213.32 all B_1 Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->hBOOL(hAPP_real_bool(deriv_real(log(B_1),Xa),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_1)),Xa))))).
% 214.60/213.32 all Xa 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),Xa),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,Xa))),hAPP_real_real(sin,Xa))))).
% 214.60/213.32 all X_1 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_1),zero_zero_real)).
% 214.60/213.32 all Xa 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)))),Xa),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,Xa))),hAPP_real_real(sin,Xa)))).
% 214.60/213.32 all Va V ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,Va)),hAPP_int_nat(number_number_of_nat,V))=hAPP_int_nat(number_number_of_nat,Va))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,V),pls))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,hAPP_int_nat(number_number_of_nat,Va)),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(hAPP_int_fun_int_int(plus_plus_int,Va),hAPP_int_int(uminus_uminus_int,V))))),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,Va),hAPP_int_int(uminus_uminus_int,V))))))).
% 214.60/213.32 all Xa 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)))),Xa),hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,Xa)),hAPP_real_real(sin,Xa))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(cos,Xa)),hAPP_real_real(sin,Xa))))).
% 214.60/213.32 all Xa 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)))),Xa),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,Xa))),hAPP_real_real(sin,Xa)))).
% 214.60/213.32 all Xa 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)))),Xa),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,Xa))),hAPP_real_real(sin,Xa))))).
% 214.60/213.32 all Xa 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)))),Xa),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,Xa))),hAPP_real_real(cos,Xa))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,Xa))),hAPP_real_real(cos,Xa))))).
% 214.60/213.32 all Xa (hAPP_real_real(cos,Xa)!=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),Xa),hAPP_real_real(inverse_inverse_real,hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(cos,Xa)),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))))).
% 214.60/213.32 all Ya X_1 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),Ya)))),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,Ya)))),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,Ya)))))),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),Ya)))),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,Ya)))),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,Ya)))))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))),X_1),zero_zero_real)).
% 214.60/213.33 all X_1 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_1),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_1))),hAPP_real_real(sin,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(cos,X_1))),hAPP_real_real(sin,X_1))))).
% 214.60/213.33 all A_1 B_1 (is_int(A_1)&is_int(B_1)-> (hBOOL(hAPP_P603027463t_bool(accp_P2006205492nt_int(norm_frac_rel),hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,A_1),B_1)))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))->norm_frac(A_1,B_1)=norm_frac(hAPP_int_int(uminus_uminus_int,A_1),hAPP_int_int(uminus_uminus_int,B_1)))& (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,B_1),zero_zero_int))-> (A_1=zero_zero_int|B_1=zero_zero_int->norm_frac(A_1,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),one_one_int))& (-(A_1=zero_zero_int|B_1=zero_zero_int)->norm_frac(A_1,B_1)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,A_1),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,A_1),B_1))),hAPP_int_int(hAPP_int_fun_int_int(div_div_int,B_1),hAPP_int_int(hAPP_int_fun_int_int(int_gcd,A_1),B_1))))))).
% 214.60/213.33 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Xa)),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,Xa)),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)))))).
% 214.60/213.33 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),one_one_real))->hBOOL(monose_q_real(hAPP_r474017924t_real(power_power_real,Xa))))).
% 214.60/213.33 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)))))).
% 214.60/213.33 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)))))).
% 214.60/213.33 all A_1 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_1),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,comple219730294t_bool(setS(A_1,P_5)))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_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_5),one_one_int)),hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))))),P_5)))))).
% 214.60/213.33 all A_1 (big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(d22set,A_1))=hAPP_int_int(zfact,A_1)).
% 214.60/213.33 all A_1 Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),Ma))->hAPP_int_int(legacy_zgcd(big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(bnorRset(A_1),Ma))),Ma)=one_one_int).
% 214.60/213.33 all A_1 Ma Xa (is_int(Xa)-> (Xa!=zero_zero_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,A_1),Ma))->big_co1548731110nt_int(cOMBI_int,image_int_int(hAPP_int_fun_int_int(hAPP_f2135977429nt_int(cOMBC_int_int_int,times_times_int),Xa),hAPP_i1948725293t_bool(bnorRset(A_1),Ma)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(bnorRset(A_1),Ma))),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,Xa),hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(bnorRset(A_1),Ma))))))).
% 214.60/213.33 all Xa A_1 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_1),zero_zero_int),P_5))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(quadRes,P_5),A_1))-> (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,Xa),setS(A_1,P_5)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,Xa)),A_1),P_5))))))).
% 214.60/213.33 all A_1 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_1),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_1),P_5))),one_one_int),P_5))))).
% 214.60/213.33 all A_1 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_1),zero_zero_int),P_5))->big_co1548731110nt_int(cOMBI_int,comple219730294t_bool(setS(A_1,P_5)))=hAPP_int_int(zfact,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,P_5),one_one_int))))).
% 214.60/213.33 all F A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> ((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_e_q_int,zero_zero_int),hAPP_int_int(F,X_1))))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),big_co1548731110nt_int(F,A))))).
% 214.60/213.33 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Xa)),one_one_real))->hAPP_real_real(arctan,Xa)=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,Xa)),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)))))).
% 214.60/213.33 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(abs_abs_real,Xa)),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))))),Xa),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,Xa)),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)))))))))).
% 214.60/213.33 all Xa (hAPP_real_real(sin,Xa)=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,Xa)))).
% 214.60/213.33 all X_1 (hAPP_real_real(sin,X_1)=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_1)))).
% 214.60/213.33 all Xa (hAPP_real_real(cos,Xa)=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,Xa)))).
% 214.60/213.33 all X_1 (hAPP_real_real(cos,X_1)=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_1)))).
% 214.60/213.33 all Xa (hAPP_real_real(uminus_uminus_real,hAPP_real_real(sin,Xa))=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,Xa))))).
% 214.60/213.33 all Xa (hAPP_real_real(exp_real,Xa)=hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,hAPP_real_real(hAPP_r1250527377l_real(plus_plus_real,one_one_real),Xa)),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,Xa)),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))))))))).
% 214.60/213.33 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)))).
% 214.60/213.33 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),hAPP_int_real(number267125858f_real,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))->hAPP_real_real(ln,Xa)=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,Xa),one_one_real))),suc))))).
% 214.60/213.33 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Xa)),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,Xa)),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))))))).
% 214.60/213.33 all F (hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F)))->hBOOL(summable_real(F))).
% 214.60/213.33 all F G ((exists N_2 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,N_1))),hAPP_nat_real(G,N_1)))))-> (hBOOL(summable_real(G))->hBOOL(summable_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,abs_abs_real),F))))).
% 214.60/213.33 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))))).
% 214.60/213.33 all Xa 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,Xa)))).
% 214.60/213.33 all Xa 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,Xa)))).
% 214.60/213.33 all P_5 (archim791455193or_rat(P_5)=hAPP_P1175774780nt_int(produc1298267108nt_int(div_div_int),quotient_of(P_5))).
% 214.60/213.33 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))).
% 214.60/213.33 all Xa 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,Xa)))).
% 214.60/213.33 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))).
% 214.60/213.33 all A_1 B_1 (divmod_int_rel(A_1,B_1)=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_1))),hAPP_f1760145644nt_int(hAPP_f1629352853nt_int(cOMBB_1496585939nt_int,plus_plus_int),hAPP_int_fun_int_int(times_times_int,B_1)))))),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_1))),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_1))))),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_1)))),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_1))),hAPP_i1948725293t_bool(hAPP_f428220345t_bool(cOMBC_int_int_bool,ord_less_e_q_int),zero_zero_int))))))).
% 214.60/213.33 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)))))).
% 214.60/213.33 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))).
% 214.60/213.33 all Xa 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,Xa)),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)))))))).
% 214.60/213.33 all B_1 (adjust(B_1)=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_1))))),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_1))))),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)))))))).
% 214.60/213.33 all X0 F R_3 ((all X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_3)),R_3)))->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_1))))))-> (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X0),hAPP_r1134773055l_bool(ord_gr788844697n_real(hAPP_real_real(uminus_uminus_real,R_3)),R_3)))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),R_3))->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)))))))).
% 214.60/213.33 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))).
% 214.60/213.33 all X_2 (hBOOL(summable_complex(X_2))->hAPP_complex_complex(cnj,hAPP_f213450978omplex(suminf_complex,X_2))=hAPP_f213450978omplex(suminf_complex,hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_2))).
% 214.60/213.33 all X_2 (hBOOL(summable_complex(X_2))->hBOOL(summable_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_2)))).
% 214.60/213.33 all X_2 (hBOOL(summable_complex(X_2))->hBOOL(summable_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_2)))).
% 214.60/213.33 all X_2 (hBOOL(summable_complex(X_2))->hBOOL(summable_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_2)))).
% 214.60/213.33 all X_2 (hBOOL(summable_complex(X_2))->hAPP_complex_real(re,hAPP_f213450978omplex(suminf_complex,X_2))=hAPP_f352196356l_real(suminf_real,hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_2))).
% 214.60/213.33 all X_2 (hBOOL(summable_complex(X_2))->hAPP_complex_real(im,hAPP_f213450978omplex(suminf_complex,X_2))=hAPP_f352196356l_real(suminf_real,hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_2))).
% 214.60/213.33 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)))))).
% 214.60/213.33 all Ma Na ((Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na))->divmod_nat(Ma,Na)=hAPP_n1289843868at_nat(hAPP_n1865633855at_nat(product_Pair_nat_nat,zero_zero_nat),Ma))& (-(Na=zero_zero_nat|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,Ma),Na)))->divmod_nat(Ma,Na)=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),Na),Na)))).
% 214.60/213.33 all P_1 A_1 B_1 Na (hAPP_n332733730l_real(bolzano_bisect(P_1,A_1,B_1),hAPP_nat_nat(suc,Na))=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_1,B_1),Na))).
% 214.60/213.33 all A_1 Ra (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Ra))-> (hBOOL(summable_real(A_1))-> (exists N_2 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),N_1))->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_1),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),N_1))))),Ra)))))).
% 214.60/213.33 all L K (is_int(L)&is_int(K)-> (K=zero_zero_int->divmod_int(K,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))& (K!=zero_zero_int-> (L=zero_zero_int->divmod_int(K,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K))& (L!=zero_zero_int->divmod_int(K,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)),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),zero_zero_int)))),pdivmod(K,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,L))))))).
% 214.60/213.33 negateSnd=produc713050258nt_int(uminus_uminus_int).
% 214.60/213.33 all L K (is_int(L)&is_int(K)-> (K=zero_zero_int->divmod_int(K,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),zero_zero_int))& (K!=zero_zero_int-> (L=zero_zero_int->divmod_int(K,L)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,zero_zero_int),K))& (L!=zero_zero_int->divmod_int(K,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)),hAPP_int_int(sgn_sgn_int,L))),pdivmod(K,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,L))))))).
% 214.60/213.33 all F G ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,hAPP_nat_real(F,N_1))),hAPP_nat_real(G,N_1))))-> (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))))).
% 214.60/213.33 all F (hBOOL(summable_real(F))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(F,N_1))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))))).
% 214.60/213.33 all F ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_1))))-> (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))))).
% 214.60/213.33 all F (hBOOL(summable_real(F))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_1))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_f352196356l_real(suminf_real,F))))).
% 214.60/213.33 all D_1 (int_ge_less_than2(D_1)=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_1)))),ord_less_int)))).
% 214.60/213.33 all D_1 (int_ge_less_than(D_1)=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_1)))),ord_less_int)))).
% 214.60/213.33 all Xa 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,Xa)),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,Xa))).
% 214.60/213.33 all Xa 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,Xa))),hAPP_real_real(sin,Xa))).
% 214.60/213.33 all Xa 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,Xa))),hAPP_real_real(cos,Xa))).
% 214.60/213.33 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)).
% 214.60/213.33 all Xa 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,Xa),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,Xa),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))))).
% 214.60/213.33 all G Xa (hBOOL(hAPP_real_bool(sums_real(G),Xa))->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))))))),Xa))).
% 214.60/213.33 all F Ya G Xa (hBOOL(hAPP_real_bool(sums_real(G),Xa))-> (hBOOL(hAPP_real_bool(sums_real(F),Ya))->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,Xa),Ya))))).
% 214.60/213.33 all Xa 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,Xa)),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,Xa))).
% 214.60/213.33 all X_2 A_1 (hBOOL(hAPP_complex_bool(sums_complex(X_2),A_1))->hBOOL(hAPP_complex_bool(sums_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_2)),hAPP_complex_complex(cnj,A_1)))).
% 214.60/213.33 all X_2 A_1 (hBOOL(hAPP_complex_bool(sums_complex(X_2),A_1))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_2)),hAPP_complex_real(re,A_1)))).
% 214.60/213.33 all X_2 A_1 (hBOOL(hAPP_complex_bool(sums_complex(X_2),A_1))->hBOOL(hAPP_real_bool(sums_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_2)),hAPP_complex_real(im,A_1)))).
% 214.60/213.33 all Na (hAPP_nat_real(diffs_real(sin_coeff),Na)=hAPP_nat_real(cos_coeff,Na)).
% 214.60/213.33 diffs_real(sin_coeff)=cos_coeff.
% 214.60/213.33 all X_1 (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_1)=hAPP_real_real(inverse_inverse_real,hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,X_1)))).
% 214.60/213.33 all Ma Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(suc,Ma)),Na))<->hBOOL(hAPP_nat_bool(nat_case_bool(fFalse,hAPP_n1699378549t_bool(ord_less_e_q_nat,Ma)),Na))).
% 214.60/213.33 all X_1 (hAPP_nat_real(diffs_real(cos_coeff),X_1)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,X_1))).
% 214.60/213.33 all Na (hAPP_nat_real(diffs_real(cos_coeff),Na)=hAPP_real_real(uminus_uminus_real,hAPP_nat_real(sin_coeff,Na))).
% 214.60/213.33 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),hAPP_nat_nat(suc,Na))=hAPP_nat_nat(nat_case_nat(zero_zero_nat,cOMBI_nat),hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Ma),Na))).
% 214.60/213.33 all F G ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_1)),hAPP_nat_real(G,N_1))))-> (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)))))).
% 214.60/213.33 all Ya (hAPP_real_real(arctan,Ya)=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)),Ya))))).
% 214.60/213.33 all Ya (hAPP_real_real(arcsin,Ya)=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)),Ya))))).
% 214.60/213.33 all Xa (hAPP_real_real(ln,Xa)=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)),Xa))).
% 214.60/213.33 all Na Xa ((hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)=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),Na))),Xa))))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))->hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)=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),Na))),hAPP_real_real(uminus_uminus_real,Xa))))))& (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))->hAPP_real_real(hAPP_n546711566l_real(root,Na),Xa)=zero_zero_real))).
% 214.60/213.33 all Ya (hAPP_real_real(arccos,Ya)=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)),Ya))))).
% 214.60/213.33 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))))).
% 214.60/213.33 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)))).
% 214.60/213.33 all Ma Na (divmod_nat(Ma,Na)=the_Pr588456374at_nat(divmod_nat_rel(Ma,Na))).
% 214.60/213.33 all Xa (archim1246769320r_real(Xa)=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)),Xa))),hAPP_f429384717t_bool(hAPP_f1173902867t_bool(cOMBB_real_bool_int,hAPP_r1134773055l_bool(ord_less_real,Xa)),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)))))).
% 214.60/213.33 all Xa (archim791455193or_rat(Xa)=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)),Xa))),hAPP_f1241350704t_bool(hAPP_f1131424617t_bool(cOMBB_rat_bool_int,hAPP_r2115560837t_bool(ord_less_rat,Xa)),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)))))).
% 214.60/213.33 all A_1 A Ma ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))&hBOOL(hAPP_int_bool(is_RRset(A),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),A))->hAPP_int_int(rRset2norRR(A,Ma),A_1)=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_1)),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),Ma))&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),A)))->hAPP_int_int(rRset2norRR(A,Ma),A_1)=zero_zero_int)).
% 214.60/213.33 all A_1 A Ma (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),Ma))-> (hBOOL(hAPP_int_bool(is_RRset(A),Ma))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,A_1),A))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(A_1),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_1)),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_1)),Ma))),hAPP_f1805168059t_bool(hAPP_f202917053t_bool(cOMBC_94739984l_bool,member_int),hAPP_i1948725293t_bool(norRRset,Ma))))),hAPP_i1948725293t_bool(norRRset,Ma)))))).
% 214.60/213.33 all Xa Na 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,Xa)),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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))))),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,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,hAPP_real_real(abs_abs_real,Xa)),Na)))).
% 214.60/213.33 all U F ((all N_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_1),hAPP_nat_nat(F,N_1))))->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))))).
% 214.60/213.33 all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at4362885an_nat(L),U))).
% 214.60/213.33 all K N_1 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_1),K)))=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))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),N_1))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K)))).
% 214.60/213.33 all K Na 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))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))=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,Na),K)))),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,F_2),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),K)))).
% 214.60/213.33 all F Na Ra (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),Na))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,Na)),Ra))=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)),Ra)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))).
% 214.60/213.33 all F Na (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)),Na))=zero_zero_real).
% 214.60/213.33 all P_1 Na ((exists M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))&hBOOL(hAPP_nat_bool(P_1,M_1))))<-> (exists X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na)))&hBOOL(hAPP_nat_bool(P_1,X_1))))).
% 214.60/213.33 all P_1 Na ((all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))->hBOOL(hAPP_nat_bool(P_1,M_1))))<-> (all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na)))->hBOOL(hAPP_nat_bool(P_1,X_1))))).
% 214.60/213.33 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)).
% 214.60/213.33 all Na Xa (Xa!=one_one_real->hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(power_power_real,Xa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))=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,Xa),Na)),one_one_real)),hAPP_real_real(hAPP_r1250527377l_real(minus_minus_real,Xa),one_one_real))).
% 214.60/213.33 all L U (hAPP_n1699378549t_bool(ord_at4362885an_nat(hAPP_nat_nat(suc,L)),U)=hAPP_n1699378549t_bool(ord_gr660468384an_nat(L),U)).
% 214.60/213.33 all K I_1 J (image_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K),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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K))).
% 214.60/213.33 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))).
% 214.60/213.33 all Diff Na Xa (Xa=zero_zero_real-> (Na!=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))=hAPP_real_real(hAPP_n546711566l_real(Diff,zero_zero_nat),zero_zero_real))).
% 214.60/213.33 all A K (hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,A),hAPP_n1699378549t_bool(ord_at4362885an_nat(K),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),hAPP_f22106695ol_nat(finite_card_nat,A)))))->A=hAPP_n1699378549t_bool(ord_at4362885an_nat(K),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,K),hAPP_f22106695ol_nat(finite_card_nat,A)))).
% 214.60/213.33 all F G Na (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)))),Na)))=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),Na))),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),Na)))).
% 214.60/213.33 all Na (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)))),Na)))=zero_zero_real).
% 214.60/213.33 all Na (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),Na))=zero_zero_real).
% 214.60/213.33 all Na (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,Na)))=one_one_real).
% 214.60/213.33 all Na Xa 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,Xa)))&hAPP_real_real(sin,Xa)=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na)))).
% 214.60/213.33 all Na Xa 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,Xa)))&hAPP_real_real(cos,Xa)=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na)))).
% 214.60/213.33 all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(L),U))).
% 214.60/213.33 all U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U))).
% 214.60/213.33 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Ya),Xa))->comple124823625p_real(hAPP_r1134773055l_bool(ord_at1496968948n_real(Ya),Xa))=Xa).
% 214.60/213.33 all U (hAPP_f957591787ol_nat(finite_card_int,hAPP_i1948725293t_bool(ord_at641636577an_int(zero_zero_int),U))=hAPP_int_nat(nat,U)).
% 214.60/213.33 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))).
% 214.60/213.33 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)).
% 214.60/213.33 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)).
% 214.60/213.33 all Xa Na exists T (hAPP_real_real(sin,Xa)=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na))),pi)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na)))).
% 214.60/213.33 all B K Diff H Na ((all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))&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)))))-> (Na=hAPP_nat_nat(suc,K)-> (all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))&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,Na),M_1))))),hAPP_f1950183573l_real(hAPP_f1992866895l_real(cOMBB_real_real_real,hAPP_r1250527377l_real(times_times_real,B)),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,Na),M_1)))),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),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,Na),hAPP_nat_nat(suc,M_1))))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,B),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,Na),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,Na),hAPP_nat_nat(suc,M_1)))))))))))))).
% 214.60/213.33 all Na Xa (Xa!=zero_zero_real-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (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,Xa)))&hAPP_real_real(exp_real,Xa)=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,Xa))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na))))))).
% 214.60/213.33 all Na Xa 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,Xa)))&hAPP_real_real(exp_real,Xa)=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,Xa))),hAPP_f1676298106t_real(hAPP_f1566856189t_real(cOMBB_nat_real_nat,real_nat),fact_fact_nat))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na)))).
% 214.60/213.33 all K 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),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),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))),hAPP_f352196356l_real(suminf_real,F))))).
% 214.60/213.33 all F J Na 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),Na))),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),Na)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))))))).
% 214.60/213.33 all Na F (hBOOL(summable_real(F))-> ((all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),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),Na))),hAPP_f352196356l_real(suminf_real,F))))).
% 214.60/213.33 all Na F (hBOOL(summable_real(F))-> ((all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),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),Na))),hAPP_f352196356l_real(suminf_real,F))))).
% 214.60/213.33 all Na Xa Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),X_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),X_1))))&Xa!=zero_zero_real&hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (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,Xa)))&hAPP_real_real(F,Xa)=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na)))))).
% 214.60/213.33 all Xa Na Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (Xa!=zero_zero_real-> ((all M_1 X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),X_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),X_1))))-> (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,Xa)))&hAPP_real_real(F,Xa)=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na))))))))).
% 214.60/213.33 all Xa Na 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),Na))&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,Xa)))->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,Xa)))&hAPP_real_real(F,Xa)=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na))))))).
% 214.60/213.33 all Diff F Na 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),Na))&hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))&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),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),Na)))))).
% 214.60/213.33 all Na 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),Na))&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),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),Na)))))).
% 214.60/213.33 all Diff F Na 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),Na))-> (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))&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),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),Na))))))))).
% 214.60/213.33 all Na 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),Na))&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),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),Na)))))))).
% 214.60/213.33 all Diff F Na 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),Na))&hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))&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),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),Na)))))).
% 214.60/213.33 all Diff F Na 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),Na))-> (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_1 T (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,M_1),Na))&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),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,H),Na))))))))).
% 214.60/213.33 all Na Xa Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F-> ((all M_1 X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),X_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),X_1))))-> (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,Xa)))&hAPP_real_real(F,Xa)=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na))))))).
% 214.60/213.33 all Na Xa Diff F (hAPP_n546711566l_real(Diff,zero_zero_nat)=F& (all M_1 X_1 hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(Diff,M_1),X_1),hAPP_real_real(hAPP_n546711566l_real(Diff,hAPP_nat_nat(suc,M_1)),X_1))))-> (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,Xa)))&hAPP_real_real(F,Xa)=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,Xa))),hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na))),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,Na),T)),hAPP_nat_real(real_nat,hAPP_nat_nat(fact_fact_nat,Na)))),hAPP_nat_real(hAPP_r474017924t_real(power_power_real,Xa),Na)))))).
% 214.60/213.33 all F K_3 Na ((all P_4 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,P_4),Na))->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),Na))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,hAPP_nat_real(real_nat,Na)),K_3)))).
% 214.60/213.33 all F Xa F_1 Na 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),Na)))->hBOOL(hAPP_real_bool(deriv_real(hAPP_n546711566l_real(F,R_1),Xa),hAPP_real_real(hAPP_n546711566l_real(F_1,R_1),Xa)))))->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),Na)),Xa),hAPP_f1406902706l_real(hAPP_f1509287679l_real(big_co604158596t_real,hAPP_r474017924t_real(hAPP_f42270917t_real(cOMBC_nat_real_real,F_1),Xa)),hAPP_n1699378549t_bool(ord_at4362885an_nat(Ma),Na))))).
% 214.60/213.33 all Xa F (hBOOL(summable_real(F))-> ((all N_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_1))),Xa)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_f352196356l_real(suminf_real,F)),Xa)))).
% 214.60/213.33 all F A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> ((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_e_q_int,zero_zero_int),hAPP_int_int(F,X_1))))))->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))))).
% 214.60/213.33 all Xa F ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(F,N_1))))-> ((all N_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_1))),Xa)))->hBOOL(summable_real(F)))).
% 214.60/213.34 all A_1 D_1 Na (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_1)),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_1))),hAPP_n1699378549t_bool(ord_lessThan_nat,Na)))=hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_nat_int(semiri1621563631at_int,Na)),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,A_1),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,Na),one_one_nat))),D_1))))).
% 214.60/213.34 all K_3 K F ((all N_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,K),hAPP_nat_real(F,N_1)))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_1)),K_3))))->hBOOL(bse_q_real(F))).
% 214.60/213.34 all K hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_lessThan_nat,K))).
% 214.60/213.34 all U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_lessThan_nat,U))=U).
% 214.60/213.34 all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (exists K_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,K_1))))).
% 214.60/213.34 all Na (hAPP_n1699378549t_bool(ord_at4362885an_nat(zero_zero_nat),Na)=hAPP_n1699378549t_bool(ord_lessThan_nat,Na)).
% 214.60/213.34 all A_1 D_1 Na (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_1)),hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,times_times_nat),D_1))),hAPP_n1699378549t_bool(ord_lessThan_nat,Na)))=hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,Na),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,A_1),hAPP_nat_nat(hAPP_nat_fun_nat_nat(times_times_nat,hAPP_nat_nat(hAPP_nat_fun_nat_nat(minus_minus_nat,Na),one_one_nat)),D_1))))).
% 214.60/213.34 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)))).
% 214.60/213.34 all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))-> (exists K_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_lessThan_nat,K_1))))).
% 214.60/213.34 all Na Q_3 P_1 ((all X_1 hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,hAPP_nat_nat(Q_3,X_1)),hAPP_nat_nat(P_1,X_1))))->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,Na))),hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,Q_3),hAPP_n1699378549t_bool(ord_lessThan_nat,Na)))=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,Na))).
% 214.60/213.34 all Xa (comple124823625p_real(hAPP_r1134773055l_bool(ord_lessThan_real,Xa))=Xa).
% 214.60/213.34 all P_2 P_1 ((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(P_1,X_1))<->hBOOL(hAPP_int_bool(P_2,X_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))=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))).
% 214.60/213.34 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)))))))).
% 214.60/213.34 all X Y hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)),Y)).
% 214.60/213.34 all X Y hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)),X)).
% 214.60/213.34 all N 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)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),M))=one_one_int).
% 214.60/213.34 all N M R_2 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,M),R_2))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,N),R_2))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)=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)),R_2))))).
% 214.60/213.34 all Ma K Na (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K),Na)=one_one_int-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,Ma),Na)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Ma)))).
% 214.60/213.34 all M K_2 N (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_2),N)=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)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K_2),M)))).
% 214.60/213.34 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)).
% 214.60/213.34 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)).
% 214.60/213.34 all X (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),zero_zero_int)=hAPP_int_int(abs_abs_int,X)).
% 214.60/213.34 all X (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,zero_zero_int),X)=hAPP_int_int(abs_abs_int,X)).
% 214.60/213.34 all M K_2 N (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))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)).
% 214.60/213.34 all K_2 M N (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))=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))).
% 214.60/213.34 all M N (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,M),N)),N)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)).
% 214.60/213.34 all M N (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))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)).
% 214.60/213.34 all X Y (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X),Y))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)=hAPP_int_int(abs_abs_int,X)).
% 214.60/213.34 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,Y),X))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)=hAPP_int_int(abs_abs_int,Y)).
% 214.60/213.34 all X Y (hAPP_int_int(abs_abs_int,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)).
% 214.60/213.34 all X (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),X)=hAPP_int_int(abs_abs_int,X)).
% 214.60/213.34 all X Y (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(abs_abs_int,X)),hAPP_int_int(abs_abs_int,Y))).
% 214.60/213.34 all X Y (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),hAPP_int_int(abs_abs_int,Y))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)).
% 214.60/213.34 all X Y (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(abs_abs_int,X)),Y)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)).
% 214.60/213.34 all N (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,N),one_one_int)),N)=one_one_int).
% 214.60/213.34 all N (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,N),one_one_int)),N)=one_one_int).
% 214.60/213.34 all M (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),one_one_int)=one_one_int).
% 214.60/213.34 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))).
% 214.60/213.34 all N 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))=one_one_int).
% 214.60/213.34 all X Y (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Y),hAPP_int_int(div_mod_int(X),Y))).
% 214.60/213.34 all A_3 N 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)),hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,B_2),N))=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)).
% 214.60/213.34 all I M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),N))).
% 214.60/213.34 all I M N (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,I),M))).
% 214.60/213.34 all N 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))->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))))).
% 214.60/213.34 all K Ma Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ma),Na)))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Ma))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,K),Na))).
% 214.60/213.34 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)).
% 214.60/213.34 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))).
% 214.60/213.34 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))).
% 214.60/213.34 all X Y (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),hAPP_int_int(uminus_uminus_int,Y))=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)).
% 214.60/213.34 all X Y (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,X)),Y)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)).
% 214.60/213.34 all Ma Na (is_int(Ma)&is_int(Na)-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Ma),Na)=zero_zero_int<->Ma=zero_zero_int&Na=zero_zero_int)).
% 214.60/213.34 all Ma Na (is_int(Ma)&is_int(Na)-> (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),Na)))<->Ma!=zero_zero_int|Na!=zero_zero_int)).
% 214.60/213.34 all D_1 A_1 B_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,A_1),B_1))=one_one_int<->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_1),A_1)=one_one_int&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,D_1),B_1)=one_one_int).
% 214.60/213.34 all M K_2 N (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K_2),N)=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)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,M),N)).
% 214.60/213.34 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)).
% 214.60/213.34 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).
% 214.60/213.34 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).
% 214.60/213.34 all X Y (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_nat_int(semiri1621563631at_int,X)),hAPP_nat_int(semiri1621563631at_int,Y))=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,X),Y))).
% 214.60/213.34 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))).
% 214.60/213.34 all X Y (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Y))->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Y),hAPP_int_int(div_mod_int(X),Y))).
% 214.60/213.34 all X Y M (hAPP_int_int(div_mod_int(hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y)),M)=one_one_int->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),M)=one_one_int).
% 214.60/213.34 all B_1 C A_1 D_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_1),D_1)=one_one_int-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,B_1),C)=one_one_int-> (hAPP_int_int(hAPP_int_fun_int_int(times_times_int,hAPP_int_int(abs_abs_int,A_1)),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_1)),hAPP_int_int(abs_abs_int,D_1))<->hAPP_int_int(abs_abs_int,A_1)=hAPP_int_int(abs_abs_int,B_1)&hAPP_int_int(abs_abs_int,C)=hAPP_int_int(abs_abs_int,D_1)))).
% 214.60/213.34 all B_1 A_1 D_1 (is_int(D_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),D_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),A_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),B_1))& (all E (is_int(E)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),A_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),B_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,E),D_1)))))<->D_1=hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_1),B_1))).
% 214.60/213.34 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))).
% 214.60/213.34 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))).
% 214.60/213.34 all X Y 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),Y))).
% 214.60/213.34 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y))))).
% 214.60/213.34 all P_1 Ya Xa ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Xa),Ya)))))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),zero_zero_int))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Xa),hAPP_int_int(uminus_uminus_int,Ya))))))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Ya))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_int_int(uminus_uminus_int,Xa)),Ya)))))-> ((hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Xa),zero_zero_int))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ya),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,Xa)),hAPP_int_int(uminus_uminus_int,Ya))))))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,Xa),Ya))))))).
% 214.60/213.34 all K L (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,K),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),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)),hAPP_int_int(abs_abs_int,L)))))).
% 214.60/213.34 all X 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),A_3))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,X),B_2))->hAPP_int_int(abs_abs_int,X)=one_one_int))).
% 214.60/213.34 all R_2 P_3 Q_1 (quotient_of(R_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_1)->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,P_3),Q_1)=one_one_int).
% 214.60/213.34 all R_2 P_3 Q_1 (normalize(R_2)=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_1)->hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,P_3),Q_1)=one_one_int).
% 214.60/213.34 all A_1 B_1 (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,A_1),B_1)=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_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_2),B_1))<->D_2=one_one_int)))).
% 214.60/213.34 all Y X (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),X))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Y))->hAPP_nat_nat(hAPP_nat_fun_nat_nat(gcd_gcd_nat,hAPP_int_nat(nat,X)),hAPP_int_nat(nat,Y))=hAPP_int_nat(nat,hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)))).
% 214.60/213.34 all X Y (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,X),Y)=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))),hAPP_int_nat(nat,hAPP_int_int(abs_abs_int,Y))))).
% 214.60/213.34 all P_3 Q_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),Q_1))-> (hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,P_3),Q_1)=one_one_int->normalize(hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_1))=hAPP_i1524277240nt_int(hAPP_i1584592887nt_int(product_Pair_int_int,P_3),Q_1))).
% 214.60/213.34 all Xa (quotient_of(Xa)=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,Xa)),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))))).
% 214.60/213.34 all R_2 exists X_1 (R_2=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_P1175774780nt_int(product_fst_int_int,X_1)),hAPP_P1175774780nt_int(product_snd_int_int,X_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,X_1)))&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,X_1)),hAPP_P1175774780nt_int(product_snd_int_int,X_1))=one_one_int& (all Y_1 (R_2=hAPP_int_rat(hAPP_int_fun_int_rat(fract,hAPP_P1175774780nt_int(product_fst_int_int,Y_1)),hAPP_P1175774780nt_int(product_snd_int_int,Y_1))&hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_P1175774780nt_int(product_snd_int_int,Y_1)))&hAPP_int_int(hAPP_int_fun_int_int(gcd_gcd_int,hAPP_P1175774780nt_int(product_fst_int_int,Y_1)),hAPP_P1175774780nt_int(product_snd_int_int,Y_1))=one_one_int->Y_1=X_1))).
% 214.60/213.34 all Q_1 ((all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (Q_1=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_1=zero_zero_rat).
% 214.60/213.34 all Q_2 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_2))).
% 214.60/213.34 all Q_1 (-(all A_2 B_4 (is_int(A_2)&is_int(B_4)-> (Q_1=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))))).
% 214.60/213.34 all Na S (hBOOL(hAPP_f215623910l_bool(finite1395289673t_bool,S))-> ((all X_1 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),S))->hBOOL(hAPP_f448129468l_bool(finite_finite_int,X_1))))-> ((all X_1 (hBOOL(hAPP_f215623910l_bool(hAPP_f628503027l_bool(member_fun_int_bool,X_1),S))->hAPP_f957591787ol_nat(finite_card_int,X_1)=Na))->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(Na)),S)))).
% 214.60/213.34 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)))).
% 214.60/213.34 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)))))).
% 214.60/213.34 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))))))).
% 214.60/213.34 all A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A_1))->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_1))),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_1)),se_quentially)))).
% 214.60/213.34 all Ra hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,Ra)),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)))),Ra,se_quentially)).
% 214.60/213.34 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Xa))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),hAPP_r474017924t_real(power_power_real,Xa)),zero_zero_real,se_quentially))).
% 214.60/213.34 all A_1 Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,one_one_real),Xa))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(inverse_divide_real,A_1)),hAPP_r474017924t_real(power_power_real,Xa)),zero_zero_real,se_quentially))).
% 214.60/213.34 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))).
% 214.60/213.34 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))).
% 214.60/213.34 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)).
% 214.60/213.34 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))).
% 214.60/213.34 all Ra hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(plus_plus_real,Ra)),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))),Ra,se_quentially)).
% 214.60/213.34 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))).
% 214.60/213.34 all Sb (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Sb))->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,Sb)),zero_zero_real,se_quentially))).
% 214.60/213.34 all Xa A_1 (hBOOL(monose_q_real(A_1))-> (hBOOL(tendsto_nat_real(A_1,Xa,se_quentially))-> (all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A_1,N_1)),Xa)))& (all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A_1,M_1)),hAPP_nat_real(A_1,N_1)))))| (all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),hAPP_nat_real(A_1,N_1))))& (all M_1 N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A_1,N_1)),hAPP_nat_real(A_1,M_1))))))).
% 214.60/213.34 all A_1 X_2 Xa (hBOOL(tendsto_nat_real(X_2,Xa,se_quentially))-> ((exists N_2 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),hAPP_nat_real(X_2,N_1)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),Xa)))).
% 214.60/213.34 all A_1 X_2 Xa (hBOOL(tendsto_nat_real(X_2,Xa,se_quentially))-> ((exists N_2 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(X_2,N_1)),A_1))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),A_1)))).
% 214.60/213.34 all Y_2 Ya X_2 Xa (hBOOL(tendsto_nat_real(X_2,Xa,se_quentially))-> (hBOOL(tendsto_nat_real(Y_2,Ya,se_quentially))-> ((exists N_2 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(X_2,N_1)),hAPP_nat_real(Y_2,N_1)))))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),Ya))))).
% 214.60/213.34 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real))->hBOOL(tendsto_nat_real(hAPP_r474017924t_real(power_power_real,Xa),zero_zero_real,se_quentially)))).
% 214.60/213.34 all Ra hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,hAPP_r1250527377l_real(times_times_real,Ra)),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))))),Ra,se_quentially)).
% 214.60/213.34 all A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A_1))->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_1))))).
% 214.60/213.34 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_real_real(abs_abs_real,Xa)),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,Xa)),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))).
% 214.60/213.34 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)))))).
% 214.60/213.34 all A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A_1))->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_1))),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_1)),se_quentially)))).
% 214.60/213.34 all Na A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A_1,N_1))))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A_1,hAPP_nat_nat(suc,N_1))),hAPP_nat_real(A_1,N_1))))->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_1))),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_1)),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)))),Na)),one_one_nat)))))))).
% 214.60/213.34 all A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A_1,N_1))))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A_1,hAPP_nat_nat(suc,N_1))),hAPP_nat_real(A_1,N_1))))->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_1))),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_1)),se_quentially))))).
% 214.60/213.34 all X_2 A_1 (hBOOL(tendsto_nat_complex(X_2,A_1,se_quentially))->hBOOL(tendsto_nat_complex(hAPP_f1646117269omplex(hAPP_f1457396693omplex(cOMBB_117013006ex_nat,cnj),X_2),hAPP_complex_complex(cnj,A_1),se_quentially))).
% 214.60/213.34 all X_2 A_1 (hBOOL(tendsto_nat_complex(X_2,A_1,se_quentially))->hBOOL(tendsto_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,re),X_2),hAPP_complex_real(re,A_1),se_quentially))).
% 214.60/213.34 all X_2 A_1 (hBOOL(tendsto_nat_complex(X_2,A_1,se_quentially))->hBOOL(tendsto_nat_real(hAPP_f1290670424t_real(hAPP_f327026105t_real(cOMBB_722610049al_nat,im),X_2),hAPP_complex_real(im,A_1),se_quentially))).
% 214.60/213.34 all Y_2 B_1 X_2 A_1 (hBOOL(tendsto_nat_real(X_2,A_1,se_quentially))-> (hBOOL(tendsto_nat_real(Y_2,B_1,se_quentially))->hBOOL(tendsto_nat_complex(hAPP_f219720582omplex(hAPP_f1052840010omplex(cOMBS_696648398omplex,hAPP_f23851874omplex(hAPP_f406530075omplex(cOMBB_1714920583ex_nat,complex),X_2)),Y_2),hAPP_real_complex(hAPP_r265291036omplex(complex,A_1),B_1),se_quentially)))).
% 214.60/213.34 all P_1 A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),B_1))-> (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_1,B_1)))),hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,A_1,B_1))),zero_zero_real,se_quentially))-> (exists L_1 ((all N_1 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_1,B_1),N_1))),L_1)))&hBOOL(tendsto_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc1935615926l_real),bolzano_bisect(P_1,A_1,B_1)),L_1,se_quentially))& (all N_1 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_1,B_1),N_1)))))&hBOOL(tendsto_nat_real(hAPP_f73570213t_real(hAPP_f918606171t_real(cOMBB_64450052al_nat,produc556554744l_real),bolzano_bisect(P_1,A_1,B_1)),L_1,se_quentially)))))))).
% 214.60/213.34 all A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A_1,N_1))))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A_1,hAPP_nat_nat(suc,N_1))),hAPP_nat_real(A_1,N_1))))->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_1))),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_1)),se_quentially))))).
% 214.60/213.34 all Na A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A_1,N_1))))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A_1,hAPP_nat_nat(suc,N_1))),hAPP_nat_real(A_1,N_1))))->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_1)),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)))),Na)))),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_1))))))).
% 214.60/213.34 all A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_nat_real(A_1,zero_zero_nat)))-> (all N_1 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_1))),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_1)),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_1)))),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_1)),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_1)),one_one_nat)))))))))).
% 214.60/213.34 all A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> (hBOOL(monose_q_real(A_1))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_nat_real(A_1,zero_zero_nat)),zero_zero_real))-> (all N_1 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_1))),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_1)),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_1)),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_1)),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_1)))))))))).
% 214.60/213.34 all Ya Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Ya),Xa))->comple124823625p_real(hAPP_r1134773055l_bool(ord_at1589558736t_real(Ya),Xa))=Xa).
% 214.60/213.34 all A_1 (hBOOL(tendsto_nat_real(A_1,zero_zero_real,se_quentially))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_nat_real(A_1,N_1))))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(A_1,hAPP_nat_nat(suc,N_1))),hAPP_nat_real(A_1,N_1))))->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_1)))))).
% 214.60/213.34 all L U hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U))).
% 214.60/213.34 all L U hBOOL(hAPP_f448129468l_bool(finite_finite_int,hAPP_i1948725293t_bool(ord_at875362053st_int(L),U))).
% 214.60/213.34 all P_1 Na ((exists M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))&hBOOL(hAPP_nat_bool(P_1,M_1))))<-> (exists X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),Na)))&hBOOL(hAPP_nat_bool(P_1,X_1))))).
% 214.60/213.34 all P_1 Na ((all M_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,M_1),Na))->hBOOL(hAPP_nat_bool(P_1,M_1))))<-> (all X_1 (hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,X_1),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),Na)))->hBOOL(hAPP_nat_bool(P_1,X_1))))).
% 214.60/213.34 all Ya Xa (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))->hBOOL(hAPP_f448129468l_bool(nat_nat_set,hAPP_i1948725293t_bool(ord_at875362053st_int(Xa),Ya)))).
% 214.60/213.34 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)).
% 214.60/213.34 all L U (hAPP_n1699378549t_bool(ord_at4362885an_nat(L),hAPP_nat_nat(suc,U))=hAPP_n1699378549t_bool(ord_at238088361st_nat(L),U)).
% 214.60/213.34 all Na (hAPP_nat_nat(fact_fact_nat,Na)=big_co1705425894at_nat(cOMBI_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(one_one_nat),Na))).
% 214.60/213.34 all K I_1 J (image_nat_nat(hAPP_nat_fun_nat_nat(hAPP_f416620757at_nat(cOMBC_nat_nat_nat,plus_plus_nat),K),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)),hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,J),K))).
% 214.60/213.34 all Ma Na (hAPP_n1699378549t_bool(ord_at238088361st_nat(Ma),Na)=image_int_nat(nat,hAPP_i1948725293t_bool(ord_at875362053st_int(hAPP_nat_int(semiri1621563631at_int,Ma)),hAPP_nat_int(semiri1621563631at_int,Na)))).
% 214.60/213.34 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))).
% 214.60/213.34 all A_1 hBOOL(tendsto_complex_real(re,hAPP_complex_real(re,A_1),at_complex(A_1))).
% 214.60/213.34 all A_1 hBOOL(tendsto_complex_real(im,hAPP_complex_real(im,A_1),at_complex(A_1))).
% 214.60/213.34 all A_1 hBOOL(tendst1507391555omplex(cnj,hAPP_complex_complex(cnj,A_1),at_complex(A_1))).
% 214.60/213.34 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)).
% 214.60/213.34 all K 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))=hAPP_f22106695ol_nat(hAPP_f782000547ol_nat(big_co387207925at_nat,F),hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),K))).
% 214.60/213.34 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))).
% 214.60/213.34 all Na Ma (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,Na),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,Na))=big_co1705425894at_nat(cOMBI_nat,hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,Na),one_one_nat)),Ma))).
% 214.60/213.34 all Na (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Na))->hAPP_int_int(fact_fact_int,Na)=big_co1548731110nt_int(cOMBI_int,hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),Na))).
% 214.60/213.34 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))))))).
% 214.60/213.34 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_1 (X_1!=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_1))),R_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,X_1)),zero_zero_real)))))))).
% 214.60/213.34 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_1 (X_1!=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_1))),R_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),hAPP_real_real(F,X_1))))))))).
% 214.60/213.34 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_1 (X_1!=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_1))),R_1))->hAPP_real_real(F,X_1)!=zero_zero_real)))))).
% 214.60/213.34 all Ta A D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ta),X_1))->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_1),D)))))))).
% 214.60/213.34 all Ta A D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (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))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),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_1),D)),Ta)))))))).
% 214.60/213.34 all Ta B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (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))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,Ta),X_1))->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_1),D))))))))).
% 214.60/213.34 all Ta B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,X_1),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_1),D)),Ta))))))).
% 214.60/213.34 all Ta B D (is_int(Ta)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (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))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))))-> (X_1=Ta->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),D)=Ta))))))).
% 214.60/213.34 all Ta A D (is_int(Ta)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (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))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))))-> (X_1=Ta->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),D)=Ta))))))).
% 214.60/213.34 all Ta A D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ta),X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ta),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),D)))))))).
% 214.60/213.34 all Ta B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Ta))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),D)),Ta))))))).
% 214.60/213.34 all Ta A D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ta),A))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Ta))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),D)),Ta)))))))).
% 214.60/213.34 all Ta B D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ta),B))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ta),X_1))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Ta),hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),D))))))))).
% 214.60/213.34 all Ta A D (is_int(Ta)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ta),A))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))))-> (X_1!=Ta->hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),D)!=Ta))))))).
% 214.63/213.34 all Ta B D (is_int(Ta)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Ta),B))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))))-> (X_1!=Ta->hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),D)!=Ta))))))).
% 214.63/213.34 all P_1 D_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D_1))-> ((all X_1 K_1 (is_int(X_1)&is_int(K_1)-> (hBOOL(hAPP_int_bool(P_1,X_1))<->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D_1)))))))-> ((exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1))))<-> (exists X_1 (is_int(X_1)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D_1)))&hBOOL(hAPP_int_bool(P_1,X_1))))))).
% 214.63/213.34 all Ta A D_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),D))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Ta)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),D)),Ta)))))))).
% 214.63/213.34 all Ta B D_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),D))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))))-> (-hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Ta)))-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),D)),Ta)))))))).
% 214.63/213.34 all Ta B D_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),D))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Ta)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),D)),Ta)))))))).
% 214.63/213.34 all Ta A D_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),D))-> (all X_1 (is_int(X_1)-> ((all Xa_1 (is_int(Xa_1)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (is_int(Xb)-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))))-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),Ta)))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(dvd_dvd_int,D_1),hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),D)),Ta)))))))).
% 214.63/213.35 all X_2 ((all R_1 exists N_2 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,N_2),N_1))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,R_1),hAPP_nat_real(X_2,N_1)))))->hBOOL(tendsto_nat_real(hAPP_f1888375463t_real(hAPP_f1690286043t_real(cOMBB_real_real_nat,inverse_inverse_real),X_2),zero_zero_real,se_quentially))).
% 214.63/213.35 all R_2 X (hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(R_2),X))=hAPP_real_real(scaleR_scaleR_real(R_2),hAPP_complex_real(re,X))).
% 214.63/213.35 all R_2 X (hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(R_2),X))=hAPP_real_real(scaleR_scaleR_real(R_2),hAPP_complex_real(im,X))).
% 214.63/213.35 all R_2 X (hAPP_complex_complex(cnj,hAPP_complex_complex(scaleR1652505878omplex(R_2),X))=hAPP_complex_complex(scaleR1652505878omplex(R_2),hAPP_complex_complex(cnj,X))).
% 214.63/213.35 all A_3 X (hAPP_real_real(scaleR_scaleR_real(A_3),X)=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,A_3),X)).
% 214.63/213.35 all R_2 A_3 B_2 (hAPP_complex_complex(scaleR1652505878omplex(R_2),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_2),A_3)),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),B_2))).
% 214.63/213.35 all R_2 X (hAPP_complex_real(im,hAPP_complex_complex(scaleR1652505878omplex(R_2),X))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),hAPP_complex_real(im,X))).
% 214.63/213.35 all R_2 X (hAPP_complex_real(re,hAPP_complex_complex(scaleR1652505878omplex(R_2),X))=hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),hAPP_complex_real(re,X))).
% 214.63/213.35 all X (hAPP_complex_complex(sgn_sgn_complex,X)=hAPP_complex_complex(scaleR1652505878omplex(hAPP_real_real(inverse_inverse_real,hAPP_complex_real(norm_norm_complex,X))),X)).
% 214.63/213.35 all R_2 X (hAPP_complex_complex(scaleR1652505878omplex(R_2),X)=hAPP_real_complex(hAPP_r265291036omplex(complex,hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),hAPP_complex_real(re,X))),hAPP_real_real(hAPP_r1250527377l_real(times_times_real,R_2),hAPP_complex_real(im,X)))).
% 214.63/213.35 -hBOOL(trivial_limit_nat(se_quentially)).
% 214.63/213.35 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))).
% 214.63/213.35 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)))).
% 214.63/213.35 all Na Va (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,Na)),hAPP_int_nat(number_number_of_nat,Va))=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,Va)))),zero_zero_nat),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Na),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))))).
% 214.63/213.35 all Va Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_int_nat(number_number_of_nat,Va)),hAPP_nat_nat(suc,Na))=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,Va)))),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,Va)))),Na)))).
% 214.63/213.35 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,N),zero_zero_nat)=zero_zero_nat).
% 214.63/213.35 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,zero_zero_nat),N)=zero_zero_nat).
% 214.63/213.35 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,M),N))).
% 214.63/213.35 all M I N (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),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)),I)).
% 214.63/213.35 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,Ma),hAPP_nat_nat(suc,Na))=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),Na))),Ma)).
% 214.63/213.35 all Na Ma (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_min_nat,hAPP_nat_nat(suc,Na)),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,Na))),Ma)).
% 214.63/213.35 all Y_2 X_2 ((exists A_2 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),A_2))& (all N_1 hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_2,N_1))),A_2)))))-> (hBOOL(vanishes(Y_2))->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_2)),Y_2))))).
% 214.63/213.35 all Na Ma (hBOOL(hAPP_int_bool(nat_is_nat,Ma))-> (hBOOL(hAPP_int_bool(nat_is_nat,Na))->hAPP_i1948725293t_bool(ord_at875362053st_int(Ma),Na)=image_nat_int(semiri1621563631at_int,hAPP_n1699378549t_bool(ord_at238088361st_nat(hAPP_int_nat(nat,Ma)),hAPP_int_nat(nat,Na))))).
% 214.63/213.35 all Xa (hBOOL(hAPP_int_bool(nat_is_nat,Xa))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),Xa))).
% 214.63/213.35 all Y X (hBOOL(hAPP_int_bool(nat_is_nat,X))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X),Y))))).
% 214.63/213.35 hBOOL(hAPP_int_bool(nat_is_nat,one_one_int)).
% 214.63/213.35 all Xa A (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),A))->hBOOL(hAPP_int_bool(nat_is_nat,Xa)))).
% 214.63/213.35 all N X (hBOOL(hAPP_int_bool(nat_is_nat,X))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X),N)))).
% 214.63/213.35 all Y X (hBOOL(hAPP_int_bool(nat_is_nat,X))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(div_mod_int(X),Y))))).
% 214.63/213.35 all Y X (hBOOL(hAPP_int_bool(nat_is_nat,X))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(hAPP_int_fun_int_int(div_div_int,X),Y))))).
% 214.63/213.35 all Y X (hBOOL(hAPP_int_bool(nat_is_nat,X))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(nat_tsub(X),Y))))).
% 214.63/213.35 all Y X (hBOOL(hAPP_int_bool(nat_is_nat,X))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y))->hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(hAPP_int_fun_int_int(times_times_int,X),Y))))).
% 214.63/213.35 hBOOL(hAPP_int_bool(nat_is_nat,zero_zero_int)).
% 214.63/213.35 all Z_1 hBOOL(hAPP_int_bool(nat_is_nat,hAPP_nat_int(semiri1621563631at_int,Z_1))).
% 214.63/213.35 all X_2 (hBOOL(vanishes(X_2))->hBOOL(vanishes(hAPP_f2062659861at_rat(hAPP_f1082758869at_rat(cOMBB_rat_rat_nat,uminus_uminus_rat),X_2)))).
% 214.63/213.35 all C (hBOOL(vanishes(cOMBK_rat_nat(C)))<->C=zero_zero_rat).
% 214.63/213.35 all Y_2 X_2 (hBOOL(vanishes(X_2))-> (hBOOL(vanishes(Y_2))->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_2)),Y_2))))).
% 214.63/213.35 all Y_2 X_2 (hBOOL(vanishes(X_2))-> (hBOOL(vanishes(Y_2))->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_2)),Y_2))))).
% 214.63/213.35 all Ya Xa (hBOOL(hAPP_int_bool(nat_is_nat,Xa))->hBOOL(hAPP_f448129468l_bool(nat_nat_set,hAPP_i1948725293t_bool(ord_at875362053st_int(Xa),Ya)))).
% 214.63/213.35 hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,hAPP_int_int(bit1,pls))))).
% 214.63/213.35 all Y X (hBOOL(hAPP_int_bool(nat_is_nat,X))-> (hBOOL(hAPP_int_bool(nat_is_nat,Y))->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),Y))))).
% 214.63/213.35 all X (hBOOL(hAPP_int_bool(nat_is_nat,X))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_e_q_int,zero_zero_int),hAPP_int_int(fact_fact_int,X)))).
% 214.63/213.35 all A Xa (hBOOL(hAPP_int_bool(nat_is_nat,Xa))-> (hBOOL(hAPP_f448129468l_bool(nat_nat_set,A))-> (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa),A))<->hBOOL(hAPP_f54304608l_bool(hAPP_n215258509l_bool(member_nat,hAPP_int_nat(nat,Xa)),image_int_nat(nat,A)))))).
% 214.63/213.35 hBOOL(hAPP_int_bool(nat_is_nat,hAPP_int_int(number_number_of_int,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
% 214.63/213.35 all Ra X_2 (hBOOL(vanishes(X_2))-> (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),Ra))-> (exists K_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_1))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_2,N_1))),Ra)))))).
% 214.63/213.35 all X_2 (hBOOL(vanishes(X_2))<-> (all R_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_1))-> (exists K_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_1))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_2,N_1))),R_1))))))).
% 214.63/213.35 all X_2 ((all R_1 (hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,zero_zero_rat),R_1))-> (exists K_1 all N_1 (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_e_q_nat,K_1),N_1))->hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(ord_less_rat,hAPP_rat_rat(abs_abs_rat,hAPP_nat_rat(X_2,N_1))),R_1))))))->hBOOL(vanishes(X_2))).
% 214.63/213.35 all Ma X_1 Xa_1 (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcongm(Ma),X_1),Xa_1))<->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(X_1),Xa_1),Ma))).
% 214.63/213.35 all L F ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_1)),hAPP_nat_real(F,hAPP_nat_nat(suc,N_1)))))-> ((all N_1 hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,hAPP_nat_real(F,N_1)),L)))-> ((all E (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),E))-> (exists N_1 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_1)),E))))))->hBOOL(tendsto_nat_real(F,L,se_quentially))))).
% 214.63/213.35 all A B Ma (hBOOL(hAPP_f1469637905l_bool(hAPP_P1681069257l_bool(member308914164t_bool,hAPP_f538843494t_bool(hAPP_f1418982953t_bool(produc713279741t_bool,A),B)),bijR_int_int(zcongm(Ma))))->hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(zcong(big_co1548731110nt_int(cOMBI_int,A)),big_co1548731110nt_int(cOMBI_int,B)),Ma))).
% 214.63/213.35 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,Na)),Xa))).
% 214.63/213.35 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->hBOOL(hAPP_real_bool(isCont_real_real(ln),Xa))).
% 214.63/213.35 all Xa (hAPP_real_real(cos,Xa)!=zero_zero_real->hBOOL(hAPP_real_bool(isCont_real_real(tan),Xa))).
% 214.63/213.35 all A_1 hBOOL(hAPP_real_bool(isCont_real_real(abs_abs_real),A_1)).
% 214.63/213.35 all Xa hBOOL(hAPP_real_bool(isCont_real_real(sin),Xa)).
% 214.63/213.35 all Xa hBOOL(hAPP_real_bool(isCont_real_real(cos),Xa)).
% 214.63/213.35 all Xa hBOOL(hAPP_real_bool(isCont_real_real(sqrt),Xa)).
% 214.63/213.35 all Xa hBOOL(hAPP_real_bool(isCont_real_real(arctan),Xa)).
% 214.63/213.35 all A_1 hBOOL(hAPP_complex_bool(isCont156215680omplex(cnj),A_1)).
% 214.63/213.35 all A_1 hBOOL(hAPP_complex_bool(isCont_complex_real(im),A_1)).
% 214.63/213.35 all A_1 hBOOL(hAPP_complex_bool(isCont_complex_real(re),A_1)).
% 214.63/213.35 all Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,Na)),zero_zero_real))).
% 214.63/213.35 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),Xa))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,Na)),Xa)))).
% 214.63/213.35 all Xa Na (hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(ord_less_nat,zero_zero_nat),Na))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),zero_zero_real))->hBOOL(hAPP_real_bool(isCont_real_real(hAPP_n546711566l_real(root,Na)),Xa)))).
% 214.63/213.35 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real))->hBOOL(hAPP_real_bool(isCont_real_real(arccos),Xa)))).
% 214.63/213.35 all Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_int_real(number267125858f_real,min)),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),one_one_real))->hBOOL(hAPP_real_bool(isCont_real_real(arcsin),Xa)))).
% 214.63/213.35 all F B_1 Xa (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,B_1),Xa))-> ((all X_1 (hBOOL(hAPP_f1501066425l_bool(hAPP_r1130899993l_bool(member_real,X_1),hAPP_r1134773055l_bool(ord_gr788844697n_real(B_1),Xa)))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,X_1)))))-> (hBOOL(hAPP_real_bool(isCont_real_real(F),Xa))->hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,zero_zero_real),hAPP_real_real(F,Xa)))))).
% 214.63/213.35 all B_1 A_1 F G Xa D (hBOOL(hAPP_real_bool(deriv_real(F,hAPP_real_real(G,Xa)),D))-> (D!=zero_zero_real-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Xa),B_1))-> ((all Y_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),Y_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,Y_1),B_1))->hAPP_real_real(F,hAPP_real_real(G,Y_1))=Y_1))-> (hBOOL(hAPP_real_bool(isCont_real_real(G),Xa))->hBOOL(hAPP_real_bool(deriv_real(G,Xa),hAPP_real_real(inverse_inverse_real,D))))))))).
% 214.63/213.35 all G F Xa D_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_1))-> ((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),Xa))),D_1))->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),Xa))),D_1))->hBOOL(hAPP_real_bool(isCont_real_real(F),Z))))->hBOOL(hAPP_real_bool(isCont_real_real(G),hAPP_real_real(F,Xa)))))).
% 214.63/213.35 all F A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))->hBOOL(hAPP_real_bool(isCont_real_real(F),X_1))))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),B_1))->hBOOL(hAPP_real_bool(deriv_real(F,X_1),zero_zero_real))))-> (all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))->hAPP_real_real(F,X_1)=hAPP_real_real(F,A_1)))))).
% 214.63/213.35 all Xa F A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))->hBOOL(hAPP_real_bool(isCont_real_real(F),X_1))))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),B_1))->hBOOL(hAPP_real_bool(deriv_real(F,X_1),zero_zero_real))))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),Xa))-> (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,Xa),B_1))->hAPP_real_real(F,Xa)=hAPP_real_real(F,A_1)))))).
% 214.63/213.35 all F A_1 B_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),B_1))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_e_q_real,X_1),B_1))->hBOOL(hAPP_real_bool(isCont_real_real(F),X_1))))-> ((all X_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,A_1),X_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,X_1),B_1))->hBOOL(hAPP_real_bool(deriv_real(F,X_1),zero_zero_real))))->hAPP_real_real(F,B_1)=hAPP_real_real(F,A_1)))).
% 214.63/213.35 all G F Xa D_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_1))-> ((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),Xa))),D_1))->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),Xa))),D_1))->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_1 (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_1),hAPP_real_real(F,Xa)))))&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_1),hAPP_real_real(F,Xa)))),E))->hAPP_real_real(F,hAPP_real_real(G,Y_1))=Y_1))))))).
% 214.63/213.35 all G F Xa D_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_1))-> ((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),Xa))),D_1))->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),Xa))),D_1))->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),Xa))),D_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Xa)),hAPP_real_real(F,Z)))))))).
% 214.63/213.35 all G F Xa D_1 (hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,zero_zero_real),D_1))-> ((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),Xa))),D_1))->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),Xa))),D_1))->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),Xa))),D_1))&hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(ord_less_real,hAPP_real_real(F,Z)),hAPP_real_real(F,Xa)))))))).
% 214.63/213.35 all B P_2 P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((exists Z all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X_1),Z))-> (hBOOL(hAPP_int_bool(P_1,X_1))<->hBOOL(hAPP_int_bool(P_2,X_1))))))-> ((all X_1 (is_int(X_1)-> ((all Xa_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),B))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xb),Xa_1)))))-> (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),D)))))))-> ((all X_1 K_1 (is_int(X_1)&is_int(K_1)-> (hBOOL(hAPP_int_bool(P_2,X_1))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D)))))))-> ((exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1))))<-> (exists X_1 (is_int(X_1)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))&hBOOL(hAPP_int_bool(P_2,X_1))))| (exists X_1 (is_int(X_1)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))& (exists Xa_1 (is_int(Xa_1)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),B))&hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Xa_1),X_1)))))))))))).
% 214.63/213.35 all A P_2 P_1 D (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),D))-> ((exists Z all X_1 (is_int(X_1)-> (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z),X_1))-> (hBOOL(hAPP_int_bool(P_1,X_1))<->hBOOL(hAPP_int_bool(P_2,X_1))))))-> ((all X_1 (is_int(X_1)-> ((all Xa_1 (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))-> (all Xb (hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xb),A))->X_1!=hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xb),Xa_1)))))-> (hBOOL(hAPP_int_bool(P_1,X_1))->hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,X_1),D)))))))-> ((all X_1 K_1 (is_int(X_1)&is_int(K_1)-> (hBOOL(hAPP_int_bool(P_2,X_1))<->hBOOL(hAPP_int_bool(P_2,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,X_1),hAPP_int_int(hAPP_int_fun_int_int(times_times_int,K_1),D)))))))-> ((exists X1 (is_int(X1)&hBOOL(hAPP_int_bool(P_1,X1))))<-> (exists X_1 (is_int(X_1)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))&hBOOL(hAPP_int_bool(P_2,X_1))))| (exists X_1 (is_int(X_1)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X_1),hAPP_i1948725293t_bool(ord_at875362053st_int(one_one_int),D)))& (exists Xa_1 (is_int(Xa_1)&hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,Xa_1),A))&hBOOL(hAPP_int_bool(P_1,hAPP_int_int(hAPP_int_fun_int_int(minus_minus_int,Xa_1),X_1)))))))))))).
% 214.63/213.35 all Na (hAPP_n1699378549t_bool(ord_atMost_nat,Na)=image_int_nat(nat,hAPP_i1948725293t_bool(ord_at875362053st_int(zero_zero_int),hAPP_nat_int(semiri1621563631at_int,Na)))).
% 214.63/213.35 all K hBOOL(hAPP_f54304608l_bool(finite_finite_nat,hAPP_n1699378549t_bool(ord_atMost_nat,K))).
% 214.63/213.35 all S (hBOOL(hAPP_f54304608l_bool(finite_finite_nat,S))<-> (exists K_1 hBOOL(hAPP_f54304608l_bool(hAPP_f103356543l_bool(ord_le1568362934t_bool,S),hAPP_n1699378549t_bool(ord_atMost_nat,K_1))))).
% 214.63/213.35 all K (hAPP_n1699378549t_bool(ord_lessThan_nat,hAPP_nat_nat(suc,K))=hAPP_n1699378549t_bool(ord_atMost_nat,K)).
% 214.63/213.35 all U (hAPP_f22106695ol_nat(finite_card_nat,hAPP_n1699378549t_bool(ord_atMost_nat,U))=hAPP_nat_nat(suc,U)).
% 214.63/213.35 all Na (hAPP_n1699378549t_bool(ord_at238088361st_nat(zero_zero_nat),Na)=hAPP_n1699378549t_bool(ord_atMost_nat,Na)).
% 214.63/213.35 all Na Va (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,Na)),hAPP_int_nat(number_number_of_nat,Va))=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,Va)))),hAPP_nat_nat(suc,Na)),hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Na),hAPP_int_nat(nat,hAPP_int_int(number_number_of_int,hAPP_int_int(pred,Va))))))).
% 214.63/213.35 all Va Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_int_nat(number_number_of_nat,Va)),hAPP_nat_nat(suc,Na))=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,Va)))),hAPP_nat_nat(suc,Na)),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,Va)))),Na)))).
% 214.63/213.35 all Xa (comple124823625p_real(hAPP_r1134773055l_bool(ord_atMost_real,Xa))=Xa).
% 214.63/213.35 all Ma Na (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,Ma),hAPP_nat_nat(suc,Na))=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,Na),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),Na))),Ma)).
% 214.63/213.35 all Na Ma (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,Na)),Ma)=hAPP_nat_nat(nat_case_nat(hAPP_nat_nat(suc,Na),hAPP_f1914919701at_nat(hAPP_f1585078997at_nat(cOMBB_nat_nat_nat,suc),hAPP_nat_fun_nat_nat(ord_max_nat,Na))),Ma)).
% 214.63/213.35 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,N),zero_zero_nat)=N).
% 214.63/213.35 all N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,zero_zero_nat),N)=N).
% 214.63/213.35 all M N (hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,hAPP_nat_nat(suc,M)),hAPP_nat_nat(suc,N))=hAPP_nat_nat(suc,hAPP_nat_nat(hAPP_nat_fun_nat_nat(ord_max_nat,M),N))).
% 214.63/213.35 all P (-hBOOL(hAPP_bool_bool(fNot,P))| -hBOOL(P)).
% 214.63/213.35 all P (hBOOL(P)|hBOOL(hAPP_bool_bool(fNot,P))).
% 214.63/213.35 hBOOL(fTrue).
% 214.63/213.35 all P (is_bool(P)->P=fTrue|P=fFalse).
% 214.63/213.35 all Q P (-hBOOL(P)| -hBOOL(Q)|hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))).
% 214.63/213.35 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(P)).
% 214.63/213.35 all P Q (-hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(fconj,P),Q))|hBOOL(Q)).
% 214.63/213.35 all Q P (-hBOOL(P)|hBOOL(fdisj(P,Q))).
% 214.63/213.35 all P Q (-hBOOL(Q)|hBOOL(fdisj(P,Q))).
% 214.63/213.35 all P Q (-hBOOL(fdisj(P,Q))|hBOOL(P)|hBOOL(Q)).
% 214.63/213.35 -hBOOL(fFalse).
% 214.63/213.35 all P (is_bool(P)->P=fTrue|P=fFalse).
% 214.63/213.35 all Q P (hBOOL(P)|hBOOL(hAPP_bool_bool(fimplies(P),Q))).
% 214.63/213.35 all P Q (-hBOOL(Q)|hBOOL(hAPP_bool_bool(fimplies(P),Q))).
% 214.63/213.35 all P Q (-hBOOL(hAPP_bool_bool(fimplies(P),Q))| -hBOOL(P)|hBOOL(Q)).
% 214.63/213.35 all X Y (is_int(X)->hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,fTrue),X),Y)=X).
% 214.63/213.35 all X Y (is_int(Y)->hAPP_int_int(hAPP_int_fun_int_int(hAPP_b1463609396nt_int(if_int,fFalse),X),Y)=Y).
% 214.63/213.35 all P (is_bool(P)->P=fTrue|P=fFalse).
% 214.63/213.35 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,fTrue),X),Y)=X).
% 214.63/213.35 all X Y (hAPP_nat_nat(hAPP_nat_fun_nat_nat(hAPP_b992065680at_nat(if_nat,fFalse),X),Y)=Y).
% 214.63/213.35 all P (is_bool(P)->P=fTrue|P=fFalse).
% 214.63/213.35 all P X (-hBOOL(hAPP_int_bool(P,X))|hBOOL(hAPP_f448129468l_bool(fEx_int,P))).
% 214.63/213.35 all P X (-hBOOL(hAPP_nat_bool(P,X))|hBOOL(hAPP_f54304608l_bool(fEx_nat,P))).
% 214.63/213.35 all P (is_int(P)->hAPP_int_int(cOMBI_int,P)=P).
% 214.63/213.35 all P (hAPP_nat_nat(cOMBI_nat,P)=P).
% 214.63/213.35 all X Y (is_int(X)&is_int(Y)-> -hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y))|X=Y).
% 214.63/213.35 all X Y (X!=Y|hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(fe_qual_int,X),Y))).
% 214.63/213.35 all X Y (-hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))|X=Y).
% 214.63/213.35 all X Y (X!=Y|hBOOL(hAPP_nat_bool(hAPP_n1699378549t_bool(fe_qual_nat,X),Y))).
% 214.63/213.35 all X Y (-hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(fe_qual_rat,X),Y))|X=Y).
% 214.63/213.35 all X Y (X!=Y|hBOOL(hAPP_rat_bool(hAPP_r2115560837t_bool(fe_qual_rat,X),Y))).
% 214.63/213.35 all X Y (hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,fTrue),X),Y)=X).
% 214.63/213.35 all X Y (hAPP_real_real(hAPP_r1250527377l_real(hAPP_b646336293l_real(if_real,fFalse),X),Y)=Y).
% 214.63/213.35 all P (is_bool(P)->P=fTrue|P=fFalse).
% 214.63/213.35 all P (hAPP_real_real(cOMBI_real,P)=P).
% 214.63/213.35 all X Y (-hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(fe_qual_real,X),Y))|X=Y).
% 214.63/213.35 all X Y (X!=Y|hBOOL(hAPP_real_bool(hAPP_r1134773055l_bool(fe_qual_real,X),Y))).
% 214.63/213.35 all P Q (hAPP_nat_rat(cOMBK_rat_nat(P),Q)=P).
% 214.63/213.35 all P Q (is_bool(P)->hAPP_nat_bool(cOMBK_bool_nat(P),Q)=P).
% 214.63/213.35 all X Y (hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fTrue),X),Y)=X).
% 214.63/213.35 all X Y (hAPP_P1975530577nt_int(hAPP_P1145851913nt_int(hAPP_b40753821nt_int(if_Pro1731782967nt_int,fFalse),X),Y)=Y).
% 214.63/213.35 all P (is_bool(P)->P=fTrue|P=fFalse).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 all X Y (hAPP_P1860904029l_real(hAPP_P1982799375l_real(hAPP_b1482221219l_real(if_Pro313124157l_real,fTrue),X),Y)=X).
% 214.63/213.35 all X Y (hAPP_P1860904029l_real(hAPP_P1982799375l_real(hAPP_b1482221219l_real(if_Pro313124157l_real,fFalse),X),Y)=Y).
% 214.63/213.35 all P (is_bool(P)->P=fTrue|P=fFalse).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 all P Q (hAPP_f957591787ol_nat(cOMBK_1643584600t_bool(P),Q)=P).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 all P Q R (hAPP_n1983812447omplex(hAPP_f23851874omplex(hAPP_f406530075omplex(cOMBB_1714920583ex_nat,P),Q),R)=hAPP_r265291036omplex(P,hAPP_nat_real(Q,R))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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))).
% 214.63/213.35 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)).
% 215.24/213.95 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))).
% 215.24/213.95 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)).
% 215.24/213.95 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)).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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)).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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
% 215.24/213.95 Search stopped in tp_alloc by max_mem option.
% 215.24/213.95 (Q,R))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 all P Q R (hAPP_r1562208522t_bool(hAPP_f2084827628t_bool(hAPP_f1121609875t_bool(cOMBB_2125215742l_real,P),Q),R)=hAPP_f1902329768t_bool(P,hAPP_r285062775l_bool(Q,R))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 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))).
% 215.24/213.95 -(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))!=zero_zero_int).
% 215.24/213.95 end_of_list.
% 215.24/213.95
% 215.24/213.95 Search stopped in tp_alloc by max_mem option.
% 215.24/213.95
% 215.24/213.95 ============ end of search ============
% 215.24/213.95
% 215.24/213.95 -------------- statistics -------------
% 215.24/213.95 clauses given 0
% 215.24/213.95 clauses generated 0
% 215.24/213.95 clauses kept 0
% 215.24/213.95 clauses forward subsumed 0
% 215.24/213.95 clauses back subsumed 0
% 215.24/213.95 Kbytes malloced 11718
% 215.24/213.95
% 215.24/213.95 ----------- times (seconds) -----------
% 215.24/213.95 user CPU time 2.38 (0 hr, 0 min, 2 sec)
% 215.24/213.95 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 215.24/213.96 wall-clock time 214 (0 hr, 3 min, 34 sec)
% 215.24/213.96
% 215.24/213.96 Process 24574 finished Wed Jul 27 09:54:59 2022
% 215.24/213.96 Otter interrupted
% 215.24/213.96 PROOF NOT FOUND
%------------------------------------------------------------------------------